TSTP Solution File: HWV047-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV047-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:13:35 EDT 2022
% Result : Unsatisfiable 75.60s 47.41s
% Output : Proof 86.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV047-1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 22:54:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.34 Usage: tptp [options] [-file:]file
% 0.20/0.34 -h, -? prints this message.
% 0.20/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.34 -m, -model generate model.
% 0.20/0.34 -p, -proof generate proof.
% 0.20/0.34 -c, -core generate unsat core of named formulas.
% 0.20/0.34 -st, -statistics display statistics.
% 0.20/0.34 -t:timeout set timeout (in second).
% 0.20/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.34 -<param>:<value> configuration parameter and value.
% 0.20/0.34 -o:<output-file> file to place output in.
% 75.60/47.41 % SZS status Unsatisfiable
% 75.60/47.41 % SZS output start Proof
% 75.60/47.41 tff(v258_type, type, (
% 75.60/47.41 v258: $i > $o)).
% 75.60/47.41 tff(constB39_type, type, (
% 75.60/47.41 constB39: $i)).
% 75.60/47.41 tff(sK0_VarCurr_type, type, (
% 75.60/47.41 sK0_VarCurr: $i)).
% 75.60/47.41 tff(constB97_type, type, (
% 75.60/47.41 constB97: $i)).
% 75.60/47.41 tff(v314_type, type, (
% 75.60/47.41 v314: $i > $o)).
% 75.60/47.41 tff(v288_type, type, (
% 75.60/47.41 v288: $i > $o)).
% 75.60/47.41 tff(v289_type, type, (
% 75.60/47.41 v289: $i > $o)).
% 75.60/47.41 tff(v307_type, type, (
% 75.60/47.41 v307: $i > $o)).
% 75.60/47.41 tff(v294_type, type, (
% 75.60/47.41 v294: $i > $o)).
% 75.60/47.41 tff(v295_type, type, (
% 75.60/47.41 v295: $i > $o)).
% 75.60/47.41 tff(v86_type, type, (
% 75.60/47.41 v86: $i > $o)).
% 75.60/47.41 tff(v148_type, type, (
% 75.60/47.41 v148: $i > $o)).
% 75.60/47.41 tff(v142_type, type, (
% 75.60/47.41 v142: $i > $o)).
% 75.60/47.41 tff(v144_type, type, (
% 75.60/47.41 v144: $i > $o)).
% 75.60/47.41 tff(v88_type, type, (
% 75.60/47.41 v88: ( $i * $i ) > $o)).
% 75.60/47.41 tff(bitIndex1_type, type, (
% 75.60/47.41 bitIndex1: $i)).
% 75.60/47.41 tff(v90_type, type, (
% 75.60/47.41 v90: ( $i * $i ) > $o)).
% 75.60/47.41 tff(constB96_type, type, (
% 75.60/47.41 constB96: $i)).
% 75.60/47.41 tff(v129_type, type, (
% 75.60/47.41 v129: ( $i * $i ) > $o)).
% 75.60/47.41 tff(v127_type, type, (
% 75.60/47.41 v127: ( $i * $i ) > $o)).
% 75.60/47.41 tff(constB95_type, type, (
% 75.60/47.41 constB95: $i)).
% 75.60/47.41 tff(v130_type, type, (
% 75.60/47.41 v130: ( $i * $i ) > $o)).
% 75.60/47.41 tff(v124_type, type, (
% 75.60/47.41 v124: $i > $o)).
% 75.60/47.41 tff(v123_type, type, (
% 75.60/47.41 v123: $i > $o)).
% 75.60/47.41 tff(bitIndex0_type, type, (
% 75.60/47.41 bitIndex0: $i)).
% 75.60/47.41 tff(constB94_type, type, (
% 75.60/47.41 constB94: $i)).
% 75.60/47.41 tff(constB93_type, type, (
% 75.60/47.41 constB93: $i)).
% 75.60/47.41 tff(bitIndex2_type, type, (
% 75.60/47.41 bitIndex2: $i)).
% 75.60/47.41 tff(constB92_type, type, (
% 75.60/47.41 constB92: $i)).
% 75.60/47.41 tff(v100_type, type, (
% 75.60/47.41 v100: $i > $o)).
% 75.60/47.41 tff(v110_type, type, (
% 75.60/47.41 v110: $i > $o)).
% 75.60/47.41 tff(v108_type, type, (
% 75.60/47.41 v108: $i > $o)).
% 75.60/47.41 tff(constB91_type, type, (
% 75.60/47.41 constB91: $i)).
% 75.60/47.41 tff(v113_type, type, (
% 75.60/47.41 v113: $i > $o)).
% 75.60/47.41 tff(v114_type, type, (
% 75.60/47.41 v114: $i > $o)).
% 75.60/47.41 tff(v115_type, type, (
% 75.60/47.41 v115: $i > $o)).
% 75.60/47.41 tff(v116_type, type, (
% 75.60/47.41 v116: $i > $o)).
% 75.60/47.41 tff(v122_type, type, (
% 75.60/47.41 v122: $i > $o)).
% 75.60/47.41 tff(constB90_type, type, (
% 75.60/47.41 constB90: $i)).
% 75.60/47.41 tff(constB89_type, type, (
% 75.60/47.41 constB89: $i)).
% 75.60/47.41 tff(v121_type, type, (
% 75.60/47.41 v121: $i > $o)).
% 75.60/47.41 tff(constB88_type, type, (
% 75.60/47.41 constB88: $i)).
% 75.60/47.41 tff(constB87_type, type, (
% 75.60/47.41 constB87: $i)).
% 75.60/47.41 tff(v112_type, type, (
% 75.60/47.41 v112: $i > $o)).
% 75.60/47.41 tff(v117_type, type, (
% 75.60/47.41 v117: $i > $o)).
% 75.60/47.41 tff(v118_type, type, (
% 75.60/47.41 v118: $i > $o)).
% 75.60/47.41 tff(v120_type, type, (
% 75.60/47.41 v120: $i > $o)).
% 75.60/47.41 tff(constB86_type, type, (
% 75.60/47.41 constB86: $i)).
% 75.60/47.41 tff(constB85_type, type, (
% 75.60/47.41 constB85: $i)).
% 75.60/47.41 tff(constB84_type, type, (
% 75.60/47.41 constB84: $i)).
% 75.60/47.41 tff(constB83_type, type, (
% 75.60/47.41 constB83: $i)).
% 75.60/47.41 tff(constB82_type, type, (
% 75.60/47.41 constB82: $i)).
% 75.60/47.41 tff(constB81_type, type, (
% 75.60/47.41 constB81: $i)).
% 75.60/47.41 tff(constB80_type, type, (
% 75.60/47.41 constB80: $i)).
% 75.60/47.41 tff(constB79_type, type, (
% 75.60/47.41 constB79: $i)).
% 75.60/47.41 tff(constB78_type, type, (
% 75.60/47.41 constB78: $i)).
% 75.60/47.41 tff(constB77_type, type, (
% 75.60/47.41 constB77: $i)).
% 75.60/47.41 tff(constB76_type, type, (
% 75.60/47.41 constB76: $i)).
% 75.60/47.41 tff(constB75_type, type, (
% 75.60/47.41 constB75: $i)).
% 75.60/47.41 tff(constB74_type, type, (
% 75.60/47.41 constB74: $i)).
% 75.60/47.41 tff(constB73_type, type, (
% 75.60/47.41 constB73: $i)).
% 75.60/47.41 tff(v125_type, type, (
% 75.60/47.41 v125: $i > $o)).
% 75.60/47.41 tff(constB72_type, type, (
% 75.60/47.41 constB72: $i)).
% 75.60/47.41 tff(constB71_type, type, (
% 75.60/47.41 constB71: $i)).
% 75.60/47.41 tff(constB69_type, type, (
% 75.60/47.41 constB69: $i)).
% 75.60/47.41 tff(constB67_type, type, (
% 75.60/47.41 constB67: $i)).
% 75.60/47.41 tff(constB66_type, type, (
% 75.60/47.41 constB66: $i)).
% 75.60/47.41 tff(constB65_type, type, (
% 75.60/47.41 constB65: $i)).
% 75.60/47.41 tff(constB64_type, type, (
% 75.60/47.41 constB64: $i)).
% 75.60/47.41 tff(constB63_type, type, (
% 75.60/47.41 constB63: $i)).
% 75.60/47.41 tff(v26_type, type, (
% 75.60/47.41 v26: $i > $o)).
% 75.60/47.41 tff(constB62_type, type, (
% 75.60/47.41 constB62: $i)).
% 75.60/47.41 tff(constB61_type, type, (
% 75.60/47.41 constB61: $i)).
% 75.60/47.41 tff(constB60_type, type, (
% 75.60/47.41 constB60: $i)).
% 75.60/47.41 tff(constB59_type, type, (
% 75.60/47.41 constB59: $i)).
% 75.60/47.41 tff(constB58_type, type, (
% 75.60/47.41 constB58: $i)).
% 75.60/47.41 tff(constB57_type, type, (
% 75.60/47.41 constB57: $i)).
% 75.60/47.41 tff(constB56_type, type, (
% 75.60/47.41 constB56: $i)).
% 75.60/47.41 tff(constB55_type, type, (
% 75.60/47.41 constB55: $i)).
% 75.60/47.41 tff(constB54_type, type, (
% 75.60/47.41 constB54: $i)).
% 75.60/47.41 tff(constB53_type, type, (
% 75.60/47.41 constB53: $i)).
% 75.60/47.41 tff(constB52_type, type, (
% 75.60/47.41 constB52: $i)).
% 75.60/47.41 tff(constB51_type, type, (
% 75.60/47.41 constB51: $i)).
% 75.60/47.41 tff(constB50_type, type, (
% 75.60/47.41 constB50: $i)).
% 75.60/47.41 tff(constB49_type, type, (
% 75.60/47.41 constB49: $i)).
% 75.60/47.41 tff(constB48_type, type, (
% 75.60/47.41 constB48: $i)).
% 75.60/47.41 tff(constB47_type, type, (
% 75.60/47.41 constB47: $i)).
% 75.60/47.41 tff(constB46_type, type, (
% 75.60/47.41 constB46: $i)).
% 75.60/47.41 tff(constB45_type, type, (
% 75.60/47.41 constB45: $i)).
% 75.60/47.41 tff(constB44_type, type, (
% 75.60/47.41 constB44: $i)).
% 75.60/47.41 tff(constB43_type, type, (
% 75.60/47.41 constB43: $i)).
% 75.60/47.41 tff(constB42_type, type, (
% 75.60/47.41 constB42: $i)).
% 75.60/47.41 tff(constB41_type, type, (
% 75.60/47.41 constB41: $i)).
% 75.60/47.41 tff(constB38_type, type, (
% 75.60/47.41 constB38: $i)).
% 75.60/47.41 tff(constB37_type, type, (
% 75.60/47.41 constB37: $i)).
% 75.60/47.41 tff(constB36_type, type, (
% 75.60/47.41 constB36: $i)).
% 75.60/47.41 tff(constB35_type, type, (
% 75.60/47.41 constB35: $i)).
% 75.60/47.41 tff(constB34_type, type, (
% 75.60/47.41 constB34: $i)).
% 75.60/47.41 tff(constB33_type, type, (
% 75.60/47.41 constB33: $i)).
% 75.60/47.41 tff(constB32_type, type, (
% 75.60/47.41 constB32: $i)).
% 75.60/47.41 tff(constB31_type, type, (
% 75.60/47.41 constB31: $i)).
% 75.60/47.41 tff(constB30_type, type, (
% 75.60/47.41 constB30: $i)).
% 75.60/47.41 tff(constB29_type, type, (
% 75.60/47.41 constB29: $i)).
% 75.60/47.41 tff(constB28_type, type, (
% 75.60/47.41 constB28: $i)).
% 75.60/47.41 tff(constB27_type, type, (
% 75.60/47.41 constB27: $i)).
% 75.60/47.41 tff(constB26_type, type, (
% 75.60/47.41 constB26: $i)).
% 75.60/47.41 tff(constB25_type, type, (
% 75.60/47.41 constB25: $i)).
% 75.60/47.41 tff(constB24_type, type, (
% 75.60/47.41 constB24: $i)).
% 75.60/47.41 tff(constB23_type, type, (
% 75.60/47.41 constB23: $i)).
% 75.60/47.41 tff(constB22_type, type, (
% 75.60/47.41 constB22: $i)).
% 75.60/47.41 tff(constB21_type, type, (
% 75.60/47.41 constB21: $i)).
% 75.60/47.41 tff(constB20_type, type, (
% 75.60/47.41 constB20: $i)).
% 75.60/47.41 tff(constB19_type, type, (
% 75.60/47.41 constB19: $i)).
% 75.60/47.41 tff(constB18_type, type, (
% 75.60/47.41 constB18: $i)).
% 75.60/47.41 tff(constB17_type, type, (
% 75.60/47.41 constB17: $i)).
% 75.60/47.41 tff(constB16_type, type, (
% 75.60/47.41 constB16: $i)).
% 75.60/47.41 tff(constB15_type, type, (
% 75.60/47.41 constB15: $i)).
% 75.60/47.41 tff(constB14_type, type, (
% 75.60/47.41 constB14: $i)).
% 75.60/47.41 tff(constB13_type, type, (
% 75.60/47.41 constB13: $i)).
% 75.60/47.41 tff(v60_type, type, (
% 75.60/47.41 v60: $i > $o)).
% 75.60/47.41 tff(v66_type, type, (
% 75.60/47.41 v66: $i > $o)).
% 75.60/47.41 tff(constB12_type, type, (
% 75.60/47.41 constB12: $i)).
% 75.60/47.41 tff(nextState_type, type, (
% 75.60/47.41 nextState: ( $i * $i ) > $o)).
% 75.60/47.41 tff(v64_type, type, (
% 75.60/47.41 v64: $i > $o)).
% 75.60/47.41 tff(v9_type, type, (
% 75.60/47.41 v9: $i > $o)).
% 75.60/47.41 tff(v13_type, type, (
% 75.60/47.41 v13: $i > $o)).
% 75.60/47.41 tff(v19_type, type, (
% 75.60/47.41 v19: $i > $o)).
% 75.60/47.41 tff(v18_type, type, (
% 75.60/47.41 v18: $i > $o)).
% 75.60/47.41 tff(v22_type, type, (
% 75.60/47.41 v22: $i > $o)).
% 75.60/47.41 tff(v1_type, type, (
% 75.60/47.41 v1: $i > $o)).
% 75.60/47.41 tff(v74_type, type, (
% 75.60/47.41 v74: $i > $o)).
% 75.60/47.41 tff(v72_type, type, (
% 75.60/47.41 v72: $i > $o)).
% 75.60/47.41 tff(v71_type, type, (
% 75.60/47.41 v71: $i > $o)).
% 75.60/47.41 tff(v76_type, type, (
% 75.60/47.41 v76: $i > $o)).
% 75.60/47.41 tff(v80_type, type, (
% 75.60/47.41 v80: $i > $o)).
% 75.60/47.41 tff(v78_type, type, (
% 75.60/47.41 v78: $i > $o)).
% 75.60/47.41 tff(constB11_type, type, (
% 75.60/47.41 constB11: $i)).
% 75.60/47.41 tff(constB10_type, type, (
% 75.60/47.41 constB10: $i)).
% 75.60/47.41 tff(constB9_type, type, (
% 75.60/47.41 constB9: $i)).
% 75.60/47.41 tff(constB8_type, type, (
% 75.60/47.41 constB8: $i)).
% 75.60/47.41 tff(constB7_type, type, (
% 75.60/47.41 constB7: $i)).
% 75.60/47.41 tff(constB6_type, type, (
% 75.60/47.41 constB6: $i)).
% 75.60/47.41 tff(constB5_type, type, (
% 75.60/47.41 constB5: $i)).
% 75.60/47.41 tff(constB4_type, type, (
% 75.60/47.41 constB4: $i)).
% 75.60/47.41 tff(constB3_type, type, (
% 75.60/47.41 constB3: $i)).
% 75.60/47.41 tff(constB2_type, type, (
% 75.60/47.41 constB2: $i)).
% 75.60/47.41 tff(constB1_type, type, (
% 75.60/47.41 constB1: $i)).
% 75.60/47.41 tff(v119_type, type, (
% 75.60/47.41 v119: $i > $o)).
% 75.60/47.41 tff(v101_type, type, (
% 75.60/47.41 v101: $i > $o)).
% 75.60/47.41 tff(constB0_type, type, (
% 75.60/47.41 constB0: $i)).
% 75.60/47.41 tff(v102_type, type, (
% 75.60/47.41 v102: $i > $o)).
% 75.60/47.41 tff(v104_type, type, (
% 75.60/47.41 v104: $i > $o)).
% 75.60/47.41 tff(constB40_type, type, (
% 75.60/47.41 constB40: $i)).
% 75.60/47.41 tff(constB68_type, type, (
% 75.60/47.41 constB68: $i)).
% 75.60/47.41 tff(constB70_type, type, (
% 75.60/47.41 constB70: $i)).
% 75.60/47.41 tff(v226_type, type, (
% 75.60/47.41 v226: $i > $o)).
% 75.60/47.41 tff(v227_type, type, (
% 75.60/47.41 v227: $i > $o)).
% 75.60/47.41 tff(v290_type, type, (
% 75.60/47.41 v290: $i > $o)).
% 75.60/47.41 tff(v292_type, type, (
% 75.60/47.41 v292: $i > $o)).
% 75.60/47.41 tff(v297_type, type, (
% 75.60/47.41 v297: $i > $o)).
% 75.60/47.41 tff(v213_type, type, (
% 75.60/47.41 v213: $i > $o)).
% 75.60/47.41 tff(v211_type, type, (
% 75.60/47.41 v211: $i > $o)).
% 75.60/47.41 tff(v214_type, type, (
% 75.60/47.41 v214: $i > $o)).
% 75.60/47.41 tff(v215_type, type, (
% 75.60/47.41 v215: $i > $o)).
% 75.60/47.41 tff(v180_type, type, (
% 75.60/47.41 v180: $i > $o)).
% 75.60/47.41 tff(v178_type, type, (
% 75.60/47.41 v178: $i > $o)).
% 75.60/47.41 tff(v181_type, type, (
% 75.60/47.41 v181: $i > $o)).
% 75.60/47.41 tff(v185_type, type, (
% 75.60/47.41 v185: $i > $o)).
% 75.60/47.41 tff(v187_type, type, (
% 75.60/47.41 v187: $i > $o)).
% 75.60/47.41 tff(v161_type, type, (
% 75.60/47.41 v161: $i > $o)).
% 75.60/47.41 tff(v168_type, type, (
% 75.60/47.41 v168: $i > $o)).
% 75.60/47.41 tff(v139_type, type, (
% 75.60/47.41 v139: $i > $o)).
% 75.60/47.41 tff(v140_type, type, (
% 75.60/47.41 v140: $i > $o)).
% 75.60/47.41 tff(v145_type, type, (
% 75.60/47.41 v145: $i > $o)).
% 75.60/47.41 tff(v146_type, type, (
% 75.60/47.41 v146: $i > $o)).
% 75.60/47.41 tff(v183_type, type, (
% 75.60/47.41 v183: $i > $o)).
% 75.60/47.41 tff(v184_type, type, (
% 75.60/47.41 v184: $i > $o)).
% 75.60/47.41 tff(v216_type, type, (
% 75.60/47.41 v216: $i > $o)).
% 75.60/47.41 tff(v217_type, type, (
% 75.60/47.41 v217: $i > $o)).
% 75.60/47.41 tff(v293_type, type, (
% 75.60/47.41 v293: $i > $o)).
% 75.60/47.41 tff(v147_type, type, (
% 75.60/47.41 v147: $i > $o)).
% 75.60/47.41 tff(v302_type, type, (
% 75.60/47.41 v302: $i > $o)).
% 75.60/47.41 tff(v243_type, type, (
% 75.60/47.41 v243: $i > $o)).
% 75.60/47.41 tff(v241_type, type, (
% 75.60/47.41 v241: $i > $o)).
% 75.60/47.41 tff(v244_type, type, (
% 75.60/47.41 v244: $i > $o)).
% 75.60/47.41 tff(v245_type, type, (
% 75.60/47.41 v245: $i > $o)).
% 75.60/47.41 tff(v228_type, type, (
% 75.60/47.41 v228: $i > $o)).
% 75.60/47.41 tff(v141_type, type, (
% 75.60/47.41 v141: $i > $o)).
% 75.60/47.41 tff(v246_type, type, (
% 75.60/47.41 v246: $i > $o)).
% 75.60/47.41 tff(v247_type, type, (
% 75.60/47.41 v247: $i > $o)).
% 75.60/47.41 tff(v309_type, type, (
% 75.60/47.41 v309: $i > $o)).
% 75.60/47.41 tff(v280_type, type, (
% 75.60/47.41 v280: $i > $o)).
% 75.60/47.41 tff(v278_type, type, (
% 75.60/47.41 v278: $i > $o)).
% 75.60/47.41 tff(v281_type, type, (
% 75.60/47.41 v281: $i > $o)).
% 75.60/47.41 tff(v282_type, type, (
% 75.60/47.41 v282: $i > $o)).
% 75.60/47.41 tff(v269_type, type, (
% 75.60/47.41 v269: $i > $o)).
% 75.60/47.41 tff(v267_type, type, (
% 75.60/47.41 v267: $i > $o)).
% 75.60/47.41 tff(v270_type, type, (
% 75.60/47.41 v270: $i > $o)).
% 75.60/47.41 tff(v271_type, type, (
% 75.60/47.41 v271: $i > $o)).
% 75.60/47.41 tff(v256_type, type, (
% 75.60/47.41 v256: $i > $o)).
% 75.60/47.41 tff(v259_type, type, (
% 75.60/47.41 v259: $i > $o)).
% 75.60/47.41 tff(v260_type, type, (
% 75.60/47.41 v260: $i > $o)).
% 75.60/47.41 tff(v261_type, type, (
% 75.60/47.41 v261: $i > $o)).
% 75.60/47.41 tff(v262_type, type, (
% 75.60/47.41 v262: $i > $o)).
% 75.60/47.41 tff(constB161_type, type, (
% 75.60/47.41 constB161: $i)).
% 75.60/47.41 tff(v143_type, type, (
% 75.60/47.41 v143: $i > $o)).
% 75.60/47.41 tff(constB160_type, type, (
% 75.60/47.41 constB160: $i)).
% 75.60/47.41 tff(constB159_type, type, (
% 75.60/47.41 constB159: $i)).
% 75.60/47.41 tff(constB158_type, type, (
% 75.60/47.41 constB158: $i)).
% 75.60/47.41 tff(constB157_type, type, (
% 75.60/47.41 constB157: $i)).
% 75.60/47.41 tff(constB156_type, type, (
% 75.60/47.41 constB156: $i)).
% 75.60/47.41 tff(constB155_type, type, (
% 75.60/47.41 constB155: $i)).
% 75.60/47.41 tff(constB154_type, type, (
% 75.60/47.41 constB154: $i)).
% 75.60/47.41 tff(constB153_type, type, (
% 75.60/47.41 constB153: $i)).
% 75.60/47.41 tff(constB152_type, type, (
% 75.60/47.41 constB152: $i)).
% 75.60/47.41 tff(constB151_type, type, (
% 75.60/47.41 constB151: $i)).
% 75.60/47.41 tff(constB149_type, type, (
% 75.60/47.41 constB149: $i)).
% 75.60/47.41 tff(constB148_type, type, (
% 75.60/47.41 constB148: $i)).
% 75.60/47.41 tff(constB147_type, type, (
% 75.60/47.41 constB147: $i)).
% 75.60/47.41 tff(constB146_type, type, (
% 75.60/47.41 constB146: $i)).
% 75.60/47.41 tff(constB145_type, type, (
% 75.60/47.41 constB145: $i)).
% 75.60/47.41 tff(constB144_type, type, (
% 75.60/47.41 constB144: $i)).
% 75.60/47.41 tff(constB143_type, type, (
% 75.60/47.41 constB143: $i)).
% 75.60/47.41 tff(constB142_type, type, (
% 75.60/47.41 constB142: $i)).
% 75.60/47.41 tff(constB141_type, type, (
% 75.60/47.41 constB141: $i)).
% 75.60/47.41 tff(constB140_type, type, (
% 75.60/47.41 constB140: $i)).
% 75.60/47.41 tff(constB139_type, type, (
% 75.60/47.41 constB139: $i)).
% 75.60/47.41 tff(constB137_type, type, (
% 75.60/47.41 constB137: $i)).
% 75.60/47.41 tff(constB136_type, type, (
% 75.60/47.41 constB136: $i)).
% 75.60/47.41 tff(constB135_type, type, (
% 75.60/47.41 constB135: $i)).
% 75.60/47.41 tff(constB134_type, type, (
% 75.60/47.41 constB134: $i)).
% 75.60/47.41 tff(constB133_type, type, (
% 75.60/47.41 constB133: $i)).
% 75.60/47.41 tff(constB132_type, type, (
% 75.60/47.41 constB132: $i)).
% 75.60/47.41 tff(constB131_type, type, (
% 75.60/47.41 constB131: $i)).
% 75.60/47.41 tff(constB130_type, type, (
% 75.60/47.41 constB130: $i)).
% 75.60/47.41 tff(constB129_type, type, (
% 75.60/47.41 constB129: $i)).
% 75.60/47.41 tff(constB128_type, type, (
% 75.60/47.41 constB128: $i)).
% 75.60/47.41 tff(constB127_type, type, (
% 75.60/47.41 constB127: $i)).
% 75.60/47.41 tff(constB126_type, type, (
% 75.60/47.41 constB126: $i)).
% 75.60/47.41 tff(constB125_type, type, (
% 75.60/47.41 constB125: $i)).
% 75.60/47.41 tff(constB124_type, type, (
% 75.60/47.41 constB124: $i)).
% 75.60/47.41 tff(constB123_type, type, (
% 75.60/47.41 constB123: $i)).
% 75.60/47.41 tff(constB122_type, type, (
% 75.60/47.41 constB122: $i)).
% 75.60/47.41 tff(constB121_type, type, (
% 75.60/47.41 constB121: $i)).
% 75.60/47.41 tff(constB120_type, type, (
% 75.60/47.41 constB120: $i)).
% 75.60/47.41 tff(constB119_type, type, (
% 75.60/47.41 constB119: $i)).
% 75.60/47.41 tff(constB118_type, type, (
% 75.60/47.41 constB118: $i)).
% 75.60/47.41 tff(constB117_type, type, (
% 75.60/47.41 constB117: $i)).
% 75.60/47.41 tff(constB116_type, type, (
% 75.60/47.41 constB116: $i)).
% 75.60/47.41 tff(constB115_type, type, (
% 75.60/47.41 constB115: $i)).
% 75.60/47.41 tff(constB114_type, type, (
% 75.60/47.41 constB114: $i)).
% 75.60/47.41 tff(constB113_type, type, (
% 75.60/47.41 constB113: $i)).
% 75.60/47.41 tff(constB112_type, type, (
% 75.60/47.41 constB112: $i)).
% 75.60/47.41 tff(constB111_type, type, (
% 75.60/47.41 constB111: $i)).
% 75.60/47.41 tff(constB110_type, type, (
% 75.60/47.41 constB110: $i)).
% 75.60/47.41 tff(constB109_type, type, (
% 75.60/47.41 constB109: $i)).
% 75.60/47.41 tff(constB108_type, type, (
% 75.60/47.41 constB108: $i)).
% 75.60/47.41 tff(constB107_type, type, (
% 75.60/47.41 constB107: $i)).
% 75.60/47.41 tff(constB106_type, type, (
% 75.60/47.41 constB106: $i)).
% 75.60/47.41 tff(constB105_type, type, (
% 75.60/47.41 constB105: $i)).
% 75.60/47.41 tff(constB103_type, type, (
% 75.60/47.41 constB103: $i)).
% 75.60/47.41 tff(constB102_type, type, (
% 75.60/47.41 constB102: $i)).
% 75.60/47.41 tff(constB101_type, type, (
% 75.60/47.41 constB101: $i)).
% 75.60/47.41 tff(constB100_type, type, (
% 75.60/47.41 constB100: $i)).
% 75.60/47.41 tff(constB99_type, type, (
% 75.60/47.41 constB99: $i)).
% 75.60/47.41 tff(constB98_type, type, (
% 75.60/47.41 constB98: $i)).
% 75.60/47.41 tff(constB104_type, type, (
% 75.60/47.41 constB104: $i)).
% 75.60/47.41 tff(constB138_type, type, (
% 75.60/47.41 constB138: $i)).
% 75.60/47.41 tff(constB150_type, type, (
% 75.60/47.41 constB150: $i)).
% 75.60/47.41 tff(v229_type, type, (
% 75.60/47.41 v229: $i > $o)).
% 75.60/47.41 tff(constB195_type, type, (
% 75.60/47.41 constB195: $i)).
% 75.60/47.41 tff(constB194_type, type, (
% 75.60/47.41 constB194: $i)).
% 75.60/47.41 tff(constB193_type, type, (
% 75.60/47.41 constB193: $i)).
% 75.60/47.41 tff(constB192_type, type, (
% 75.60/47.41 constB192: $i)).
% 75.60/47.41 tff(constB191_type, type, (
% 75.60/47.41 constB191: $i)).
% 75.60/47.41 tff(constB190_type, type, (
% 75.60/47.41 constB190: $i)).
% 75.60/47.41 tff(constB189_type, type, (
% 75.60/47.41 constB189: $i)).
% 75.60/47.41 tff(constB188_type, type, (
% 75.60/47.41 constB188: $i)).
% 75.60/47.41 tff(constB187_type, type, (
% 75.60/47.41 constB187: $i)).
% 75.60/47.41 tff(constB186_type, type, (
% 75.60/47.41 constB186: $i)).
% 75.60/47.41 tff(constB185_type, type, (
% 75.60/47.41 constB185: $i)).
% 75.60/47.41 tff(constB184_type, type, (
% 75.60/47.41 constB184: $i)).
% 75.60/47.41 tff(constB183_type, type, (
% 75.60/47.41 constB183: $i)).
% 75.60/47.41 tff(constB182_type, type, (
% 75.60/47.41 constB182: $i)).
% 75.60/47.41 tff(constB181_type, type, (
% 75.60/47.41 constB181: $i)).
% 75.60/47.41 tff(constB180_type, type, (
% 75.60/47.41 constB180: $i)).
% 75.60/47.41 tff(constB179_type, type, (
% 75.60/47.41 constB179: $i)).
% 75.60/47.41 tff(constB178_type, type, (
% 75.60/47.41 constB178: $i)).
% 75.60/47.41 tff(constB177_type, type, (
% 75.60/47.41 constB177: $i)).
% 75.60/47.41 tff(constB176_type, type, (
% 75.60/47.41 constB176: $i)).
% 75.60/47.41 tff(constB175_type, type, (
% 75.60/47.41 constB175: $i)).
% 75.60/47.41 tff(constB174_type, type, (
% 75.60/47.41 constB174: $i)).
% 75.60/47.41 tff(constB173_type, type, (
% 75.60/47.41 constB173: $i)).
% 75.60/47.41 tff(constB172_type, type, (
% 75.60/47.41 constB172: $i)).
% 75.60/47.41 tff(constB171_type, type, (
% 75.60/47.41 constB171: $i)).
% 75.60/47.41 tff(constB170_type, type, (
% 75.60/47.41 constB170: $i)).
% 75.60/47.41 tff(constB169_type, type, (
% 75.60/47.41 constB169: $i)).
% 75.60/47.41 tff(constB168_type, type, (
% 75.60/47.41 constB168: $i)).
% 75.60/47.41 tff(constB167_type, type, (
% 75.60/47.41 constB167: $i)).
% 75.60/47.41 tff(constB166_type, type, (
% 75.60/47.41 constB166: $i)).
% 75.60/47.41 tff(constB165_type, type, (
% 75.60/47.41 constB165: $i)).
% 75.60/47.41 tff(constB164_type, type, (
% 75.60/47.41 constB164: $i)).
% 75.60/47.41 tff(constB163_type, type, (
% 75.60/47.41 constB163: $i)).
% 75.60/47.41 tff(constB162_type, type, (
% 75.60/47.41 constB162: $i)).
% 75.60/47.41 tff(v310_type, type, (
% 75.60/47.41 v310: $i > $o)).
% 75.60/47.41 tff(v311_type, type, (
% 75.60/47.41 v311: $i > $o)).
% 75.60/47.41 tff(v298_type, type, (
% 75.60/47.41 v298: $i > $o)).
% 75.60/47.41 tff(v299_type, type, (
% 75.60/47.41 v299: $i > $o)).
% 75.60/47.41 tff(v193_type, type, (
% 75.60/47.41 v193: $i > $o)).
% 75.60/47.41 tff(v200_type, type, (
% 75.60/47.41 v200: $i > $o)).
% 75.60/47.41 tff(v303_type, type, (
% 75.60/47.41 v303: $i > $o)).
% 75.60/47.41 tff(v304_type, type, (
% 75.60/47.41 v304: $i > $o)).
% 75.60/47.41 tff(v223_type, type, (
% 75.60/47.41 v223: $i > $o)).
% 75.60/47.41 tff(v230_type, type, (
% 75.60/47.41 v230: $i > $o)).
% 75.60/47.41 tff(constB199_type, type, (
% 75.60/47.41 constB199: $i)).
% 75.60/47.41 tff(constB198_type, type, (
% 75.60/47.41 constB198: $i)).
% 75.60/47.41 tff(constB197_type, type, (
% 75.60/47.41 constB197: $i)).
% 75.60/47.41 tff(constB196_type, type, (
% 75.60/47.41 constB196: $i)).
% 75.60/47.41 tff(constB200_type, type, (
% 75.60/47.41 constB200: $i)).
% 75.60/47.41 tff(v287_type, type, (
% 75.60/47.41 v287: $i > $o)).
% 75.60/47.41 tff(reachableState_type, type, (
% 75.60/47.41 reachableState: $i > $o)).
% 75.60/47.41 tff(1,assumption,(~v288(sK0_VarCurr)), introduced(assumption)).
% 75.60/47.41 tff(2,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 75.60/47.41 tff(3,plain,
% 75.60/47.41 (v288(constB97) <=> v288(sK0_VarCurr)),
% 75.60/47.41 inference(monotonicity,[status(thm)],[2])).
% 75.60/47.41 tff(4,plain,
% 75.60/47.41 (v288(sK0_VarCurr) <=> v288(constB97)),
% 75.60/47.41 inference(symmetry,[status(thm)],[3])).
% 75.60/47.41 tff(5,plain,
% 75.60/47.41 ((~v288(sK0_VarCurr)) <=> (~v288(constB97))),
% 75.60/47.41 inference(monotonicity,[status(thm)],[4])).
% 75.60/47.41 tff(6,plain,
% 75.60/47.41 (~v288(constB97)),
% 75.60/47.41 inference(modus_ponens,[status(thm)],[1, 5])).
% 75.60/47.41 tff(7,assumption,(v26(constB63)), introduced(assumption)).
% 75.60/47.41 tff(8,plain,
% 75.60/47.41 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 75.60/47.41 inference(bind,[status(th)],[])).
% 75.60/47.41 tff(9,plain,
% 75.60/47.41 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 75.60/47.41 inference(quant_intro,[status(thm)],[8])).
% 75.60/47.41 tff(10,plain,
% 75.60/47.41 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 75.60/47.41 inference(rewrite,[status(thm)],[])).
% 75.60/47.41 tff(11,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 75.60/47.41 tff(12,plain,
% 75.60/47.41 (![VarCurr: $i] : (~v26(VarCurr))),
% 75.60/47.41 inference(modus_ponens,[status(thm)],[11, 10])).
% 75.60/47.41 tff(13,plain,(
% 75.60/47.41 ![VarCurr: $i] : (~v26(VarCurr))),
% 75.60/47.41 inference(skolemize,[status(sab)],[12])).
% 75.60/47.41 tff(14,plain,
% 75.60/47.41 (![VarCurr: $i] : (~v26(VarCurr))),
% 75.60/47.41 inference(modus_ponens,[status(thm)],[13, 9])).
% 75.60/47.41 tff(15,plain,
% 75.60/47.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 75.60/47.41 inference(quant_inst,[status(thm)],[])).
% 75.60/47.41 tff(16,plain,
% 75.60/47.41 ($false),
% 75.60/47.41 inference(unit_resolution,[status(thm)],[15, 14, 7])).
% 75.60/47.41 tff(17,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(18,assumption,(v26(constB61)), introduced(assumption)).
% 75.60/47.42 tff(19,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(20,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[19, 14, 18])).
% 75.60/47.42 tff(21,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(22,assumption,(v26(constB25)), introduced(assumption)).
% 75.60/47.42 tff(23,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(24,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[23, 14, 22])).
% 75.60/47.42 tff(25,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(26,assumption,(v26(constB19)), introduced(assumption)).
% 75.60/47.42 tff(27,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(28,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[27, 14, 26])).
% 75.60/47.42 tff(29,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(30,assumption,(v26(constB17)), introduced(assumption)).
% 75.60/47.42 tff(31,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(32,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[31, 14, 30])).
% 75.60/47.42 tff(33,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(34,assumption,(v26(constB15)), introduced(assumption)).
% 75.60/47.42 tff(35,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(36,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[35, 14, 34])).
% 75.60/47.42 tff(37,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(38,assumption,(v26(constB12)), introduced(assumption)).
% 75.60/47.42 tff(39,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB12))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(40,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[39, 14, 38])).
% 75.60/47.42 tff(41,plain,(~v26(constB12)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(42,plain,
% 75.60/47.42 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(43,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 75.60/47.42 tff(44,plain,
% 75.60/47.42 (nextState(constB12, constB13)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[43, 42])).
% 75.60/47.42 tff(45,plain,
% 75.60/47.42 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(46,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[45])).
% 75.60/47.42 tff(47,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(48,plain,
% 75.60/47.42 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(49,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[48])).
% 75.60/47.42 tff(50,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 75.60/47.42 tff(51,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[50, 49])).
% 75.60/47.42 tff(52,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[51, 47])).
% 75.60/47.42 tff(53,plain,(
% 75.60/47.42 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(skolemize,[status(sab)],[52])).
% 75.60/47.42 tff(54,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[53, 46])).
% 75.60/47.42 tff(55,plain,
% 75.60/47.42 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB12, constB13)) | v26(constB12) | (~v66(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB12, constB13)) | v26(constB12) | (~v66(constB13)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(56,plain,
% 75.60/47.42 ((v26(constB12) | (~nextState(constB12, constB13)) | (~v66(constB13))) <=> ((~nextState(constB12, constB13)) | v26(constB12) | (~v66(constB13)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(57,plain,
% 75.60/47.42 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB12) | (~nextState(constB12, constB13)) | (~v66(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB12, constB13)) | v26(constB12) | (~v66(constB13))))),
% 75.60/47.42 inference(monotonicity,[status(thm)],[56])).
% 75.60/47.42 tff(58,plain,
% 75.60/47.42 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB12) | (~nextState(constB12, constB13)) | (~v66(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB12, constB13)) | v26(constB12) | (~v66(constB13)))),
% 75.60/47.42 inference(transitivity,[status(thm)],[57, 55])).
% 75.60/47.42 tff(59,plain,
% 75.60/47.42 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB12) | (~nextState(constB12, constB13)) | (~v66(constB13)))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(60,plain,
% 75.60/47.42 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB12, constB13)) | v26(constB12) | (~v66(constB13))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[59, 58])).
% 75.60/47.42 tff(61,plain,
% 75.60/47.42 (v26(constB12) | (~v66(constB13))),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[60, 54, 44])).
% 75.60/47.42 tff(62,plain,
% 75.60/47.42 (~v66(constB13)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[61, 41])).
% 75.60/47.42 tff(63,assumption,(v18(constB14)), introduced(assumption)).
% 75.60/47.42 tff(64,plain,
% 75.60/47.42 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(65,plain,
% 75.60/47.42 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[64])).
% 75.60/47.42 tff(66,plain,
% 75.60/47.42 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(67,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 75.60/47.42 tff(68,plain,
% 75.60/47.42 (![VarCurr: $i] : (~v18(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[67, 66])).
% 75.60/47.42 tff(69,plain,(
% 75.60/47.42 ![VarCurr: $i] : (~v18(VarCurr))),
% 75.60/47.42 inference(skolemize,[status(sab)],[68])).
% 75.60/47.42 tff(70,plain,
% 75.60/47.42 (![VarCurr: $i] : (~v18(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[69, 65])).
% 75.60/47.42 tff(71,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB14))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(72,plain,
% 75.60/47.42 ($false),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[71, 70, 63])).
% 75.60/47.42 tff(73,plain,(~v18(constB14)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.42 tff(74,plain,
% 75.60/47.42 (v1(constB14) <=> v1(constB14)),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(75,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 75.60/47.42 tff(76,plain,
% 75.60/47.42 (v1(constB14)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[75, 74])).
% 75.60/47.42 tff(77,plain,
% 75.60/47.42 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(78,plain,
% 75.60/47.42 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[77])).
% 75.60/47.42 tff(79,plain,
% 75.60/47.42 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(80,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 75.60/47.42 tff(81,plain,
% 75.60/47.42 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[80, 79])).
% 75.60/47.42 tff(82,plain,(
% 75.60/47.42 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 75.60/47.42 inference(skolemize,[status(sab)],[81])).
% 75.60/47.42 tff(83,plain,
% 75.60/47.42 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[82, 78])).
% 75.60/47.42 tff(84,plain,
% 75.60/47.42 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(85,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(86,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[85, 84])).
% 75.60/47.42 tff(87,plain,
% 75.60/47.42 (v22(constB14)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[86, 83, 76])).
% 75.60/47.42 tff(88,plain,
% 75.60/47.42 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(89,plain,
% 75.60/47.42 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[88])).
% 75.60/47.42 tff(90,plain,
% 75.60/47.42 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(91,plain,
% 75.60/47.42 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(92,plain,
% 75.60/47.42 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[91])).
% 75.60/47.42 tff(93,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 75.60/47.42 tff(94,plain,
% 75.60/47.42 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[93, 92])).
% 75.60/47.42 tff(95,plain,
% 75.60/47.42 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[94, 90])).
% 75.60/47.42 tff(96,plain,(
% 75.60/47.42 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(skolemize,[status(sab)],[95])).
% 75.60/47.42 tff(97,plain,
% 75.60/47.42 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[96, 89])).
% 75.60/47.42 tff(98,plain,
% 75.60/47.42 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB14)) | (~v22(constB14)) | v18(constB14))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB14)) | (~v22(constB14)) | v18(constB14))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(99,plain,
% 75.60/47.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB14)) | (~v22(constB14)) | v18(constB14))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(100,plain,
% 75.60/47.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB14)) | (~v22(constB14)) | v18(constB14)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[99, 98])).
% 75.60/47.42 tff(101,plain,
% 75.60/47.42 ((~v19(constB14)) | v18(constB14)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[100, 97, 87])).
% 75.60/47.42 tff(102,plain,
% 75.60/47.42 (~v19(constB14)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[101, 73])).
% 75.60/47.42 tff(103,plain,
% 75.60/47.42 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(104,plain,
% 75.60/47.42 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[103])).
% 75.60/47.42 tff(105,plain,
% 75.60/47.42 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(106,plain,
% 75.60/47.42 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(107,plain,
% 75.60/47.42 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[106])).
% 75.60/47.42 tff(108,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_100_1_1_2')).
% 75.60/47.42 tff(109,plain,
% 75.60/47.42 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[108, 107])).
% 75.60/47.42 tff(110,plain,
% 75.60/47.42 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[109, 105])).
% 75.60/47.42 tff(111,plain,(
% 75.60/47.42 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(skolemize,[status(sab)],[110])).
% 75.60/47.42 tff(112,plain,
% 75.60/47.42 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[111, 104])).
% 75.60/47.42 tff(113,plain,
% 75.60/47.42 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(114,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(115,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[114, 113])).
% 75.60/47.42 tff(116,plain,
% 75.60/47.42 (v13(constB14)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[115, 112, 102])).
% 75.60/47.42 tff(117,plain,
% 75.60/47.42 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(118,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 75.60/47.42 tff(119,plain,
% 75.60/47.42 (nextState(constB13, constB14)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[118, 117])).
% 75.60/47.42 tff(120,plain,
% 75.60/47.42 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(121,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[120])).
% 75.60/47.42 tff(122,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(123,plain,
% 75.60/47.42 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(124,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[123])).
% 75.60/47.42 tff(125,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_19_2')).
% 75.60/47.42 tff(126,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[125, 124])).
% 75.60/47.42 tff(127,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[126, 122])).
% 75.60/47.42 tff(128,plain,(
% 75.60/47.42 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(skolemize,[status(sab)],[127])).
% 75.60/47.42 tff(129,plain,
% 75.60/47.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[128, 121])).
% 75.60/47.42 tff(130,plain,
% 75.60/47.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(131,plain,
% 75.60/47.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(132,plain,
% 75.60/47.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[131, 130])).
% 75.60/47.42 tff(133,plain,
% 75.60/47.42 ((~v13(constB14)) | v9(constB13)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[132, 129, 119])).
% 75.60/47.42 tff(134,plain,
% 75.60/47.42 (v9(constB13)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[133, 116])).
% 75.60/47.42 tff(135,plain,
% 75.60/47.42 ((~v1(constB13)) <=> (~v1(constB13))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(136,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 75.60/47.42 tff(137,plain,
% 75.60/47.42 (~v1(constB13)),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[136, 135])).
% 75.60/47.42 tff(138,plain,
% 75.60/47.42 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(139,plain,
% 75.60/47.42 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[138])).
% 75.60/47.42 tff(140,plain,
% 75.60/47.42 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(141,plain,
% 75.60/47.42 (^[VarCurr: $i] : trans(monotonicity(rewrite((v64(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(142,plain,
% 75.60/47.42 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[141])).
% 75.60/47.42 tff(143,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 75.60/47.42 tff(144,plain,
% 75.60/47.42 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[143, 142])).
% 75.60/47.42 tff(145,plain,
% 75.60/47.42 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[144, 140])).
% 75.60/47.42 tff(146,plain,(
% 75.60/47.42 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(skolemize,[status(sab)],[145])).
% 75.60/47.42 tff(147,plain,
% 75.60/47.42 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[146, 139])).
% 75.60/47.42 tff(148,plain,
% 75.60/47.42 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB13) | v64(constB13) | (~v9(constB13)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB13) | v64(constB13) | (~v9(constB13)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(149,plain,
% 75.60/47.42 ((v1(constB13) | (~v9(constB13)) | v64(constB13)) <=> (v1(constB13) | v64(constB13) | (~v9(constB13)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(150,plain,
% 75.60/47.42 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v64(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB13) | v64(constB13) | (~v9(constB13))))),
% 75.60/47.42 inference(monotonicity,[status(thm)],[149])).
% 75.60/47.42 tff(151,plain,
% 75.60/47.42 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v64(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB13) | v64(constB13) | (~v9(constB13)))),
% 75.60/47.42 inference(transitivity,[status(thm)],[150, 148])).
% 75.60/47.42 tff(152,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v64(constB13))),
% 75.60/47.42 inference(quant_inst,[status(thm)],[])).
% 75.60/47.42 tff(153,plain,
% 75.60/47.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB13) | v64(constB13) | (~v9(constB13))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[152, 151])).
% 75.60/47.42 tff(154,plain,
% 75.60/47.42 (v64(constB13) | (~v9(constB13))),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[153, 147, 137])).
% 75.60/47.42 tff(155,plain,
% 75.60/47.42 (v64(constB13)),
% 75.60/47.42 inference(unit_resolution,[status(thm)],[154, 134])).
% 75.60/47.42 tff(156,plain,
% 75.60/47.42 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(157,plain,
% 75.60/47.42 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[156])).
% 75.60/47.42 tff(158,plain,
% 75.60/47.42 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(159,plain,
% 75.60/47.42 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 75.60/47.42 inference(bind,[status(th)],[])).
% 75.60/47.42 tff(160,plain,
% 75.60/47.42 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(quant_intro,[status(thm)],[159])).
% 75.60/47.42 tff(161,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 75.60/47.42 tff(162,plain,
% 75.60/47.42 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[161, 160])).
% 75.60/47.42 tff(163,plain,
% 75.60/47.42 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[162, 158])).
% 75.60/47.42 tff(164,plain,(
% 75.60/47.42 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(skolemize,[status(sab)],[163])).
% 75.60/47.42 tff(165,plain,
% 75.60/47.42 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 75.60/47.42 inference(modus_ponens,[status(thm)],[164, 157])).
% 75.60/47.42 tff(166,plain,
% 75.60/47.42 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB13)) | v66(constB13) | (~v64(constB13)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB13)) | v66(constB13) | (~v64(constB13)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(167,plain,
% 75.60/47.42 (((~v64(constB13)) | (~v60(constB13)) | v66(constB13)) <=> ((~v60(constB13)) | v66(constB13) | (~v64(constB13)))),
% 75.60/47.42 inference(rewrite,[status(thm)],[])).
% 75.60/47.42 tff(168,plain,
% 75.60/47.42 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB13)) | (~v60(constB13)) | v66(constB13))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB13)) | v66(constB13) | (~v64(constB13))))),
% 75.60/47.43 inference(monotonicity,[status(thm)],[167])).
% 75.60/47.43 tff(169,plain,
% 75.60/47.43 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB13)) | (~v60(constB13)) | v66(constB13))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB13)) | v66(constB13) | (~v64(constB13)))),
% 75.60/47.43 inference(transitivity,[status(thm)],[168, 166])).
% 75.60/47.43 tff(170,plain,
% 75.60/47.43 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB13)) | (~v60(constB13)) | v66(constB13))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(171,plain,
% 75.60/47.43 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB13)) | v66(constB13) | (~v64(constB13))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[170, 169])).
% 75.60/47.43 tff(172,plain,
% 75.60/47.43 ((~v60(constB13)) | v66(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[171, 165, 155])).
% 75.60/47.43 tff(173,plain,
% 75.60/47.43 (~v60(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[172, 62])).
% 75.60/47.43 tff(174,assumption,(v71(constB13)), introduced(assumption)).
% 75.60/47.43 tff(175,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(176,plain,
% 75.60/47.43 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[175])).
% 75.60/47.43 tff(177,plain,
% 75.60/47.43 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(178,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 75.60/47.43 tff(179,plain,
% 75.60/47.43 (![VarCurr: $i] : (~v71(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[178, 177])).
% 75.60/47.43 tff(180,plain,(
% 75.60/47.43 ![VarCurr: $i] : (~v71(VarCurr))),
% 75.60/47.43 inference(skolemize,[status(sab)],[179])).
% 75.60/47.43 tff(181,plain,
% 75.60/47.43 (![VarCurr: $i] : (~v71(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[180, 176])).
% 75.60/47.43 tff(182,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB13))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(183,plain,
% 75.60/47.43 ($false),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[182, 181, 174])).
% 75.60/47.43 tff(184,plain,(~v71(constB13)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.43 tff(185,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(186,plain,
% 75.60/47.43 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[185])).
% 75.60/47.43 tff(187,plain,
% 75.60/47.43 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(188,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 75.60/47.43 tff(189,plain,
% 75.60/47.43 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[188, 187])).
% 75.60/47.43 tff(190,plain,(
% 75.60/47.43 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 75.60/47.43 inference(skolemize,[status(sab)],[189])).
% 75.60/47.43 tff(191,plain,
% 75.60/47.43 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[190, 186])).
% 75.60/47.43 tff(192,plain,
% 75.60/47.43 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB13) | (~v9(constB13)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB13) | (~v9(constB13)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(193,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB13) | (~v9(constB13)))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(194,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB13) | (~v9(constB13))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[193, 192])).
% 75.60/47.43 tff(195,plain,
% 75.60/47.43 (v80(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[194, 191, 134])).
% 75.60/47.43 tff(196,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(197,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[196])).
% 75.60/47.43 tff(198,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(199,plain,
% 75.60/47.43 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(200,plain,
% 75.60/47.43 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[199])).
% 75.60/47.43 tff(201,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 75.60/47.43 tff(202,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[201, 200])).
% 75.60/47.43 tff(203,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[202, 198])).
% 75.60/47.43 tff(204,plain,(
% 75.60/47.43 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(skolemize,[status(sab)],[203])).
% 75.60/47.43 tff(205,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[204, 197])).
% 75.60/47.43 tff(206,plain,
% 75.60/47.43 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB13) | v78(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB13) | v78(constB13))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(207,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB13) | v78(constB13))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(208,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB13) | v78(constB13)),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[207, 206])).
% 75.60/47.43 tff(209,plain,
% 75.60/47.43 (v78(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[208, 205, 137])).
% 75.60/47.43 tff(210,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(211,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[210])).
% 75.60/47.43 tff(212,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(213,plain,
% 75.60/47.43 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(214,plain,
% 75.60/47.43 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[213])).
% 75.60/47.43 tff(215,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 75.60/47.43 tff(216,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[215, 214])).
% 75.60/47.43 tff(217,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[216, 212])).
% 75.60/47.43 tff(218,plain,(
% 75.60/47.43 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(skolemize,[status(sab)],[217])).
% 75.60/47.43 tff(219,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[218, 211])).
% 75.60/47.43 tff(220,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB13)) | (~v80(constB13)) | v76(constB13))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB13)) | (~v80(constB13)) | v76(constB13))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(221,plain,
% 75.60/47.43 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB13)) | (~v80(constB13)) | v76(constB13))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(222,plain,
% 75.60/47.43 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB13)) | (~v80(constB13)) | v76(constB13)),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[221, 220])).
% 75.60/47.43 tff(223,plain,
% 75.60/47.43 ((~v80(constB13)) | v76(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[222, 219, 209])).
% 75.60/47.43 tff(224,plain,
% 75.60/47.43 (v76(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[223, 195])).
% 75.60/47.43 tff(225,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(226,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[225])).
% 75.60/47.43 tff(227,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(228,plain,
% 75.60/47.43 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(229,plain,
% 75.60/47.43 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[228])).
% 75.60/47.43 tff(230,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 75.60/47.43 tff(231,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[230, 229])).
% 75.60/47.43 tff(232,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[231, 227])).
% 75.60/47.43 tff(233,plain,(
% 75.60/47.43 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(skolemize,[status(sab)],[232])).
% 75.60/47.43 tff(234,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[233, 226])).
% 75.60/47.43 tff(235,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB13)) | v71(constB13) | (~v72(constB13)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB13)) | v71(constB13) | (~v72(constB13)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(236,plain,
% 75.60/47.43 (((~v72(constB13)) | (~v76(constB13)) | v71(constB13)) <=> ((~v76(constB13)) | v71(constB13) | (~v72(constB13)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(237,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB13)) | (~v76(constB13)) | v71(constB13))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB13)) | v71(constB13) | (~v72(constB13))))),
% 75.60/47.43 inference(monotonicity,[status(thm)],[236])).
% 75.60/47.43 tff(238,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB13)) | (~v76(constB13)) | v71(constB13))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB13)) | v71(constB13) | (~v72(constB13)))),
% 75.60/47.43 inference(transitivity,[status(thm)],[237, 235])).
% 75.60/47.43 tff(239,plain,
% 75.60/47.43 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB13)) | (~v76(constB13)) | v71(constB13))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(240,plain,
% 75.60/47.43 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB13)) | v71(constB13) | (~v72(constB13))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[239, 238])).
% 75.60/47.43 tff(241,plain,
% 75.60/47.43 (v71(constB13) | (~v72(constB13))),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[240, 234, 224])).
% 75.60/47.43 tff(242,plain,
% 75.60/47.43 (~v72(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[241, 184])).
% 75.60/47.43 tff(243,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(244,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[243])).
% 75.60/47.43 tff(245,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(246,plain,
% 75.60/47.43 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(247,plain,
% 75.60/47.43 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[246])).
% 75.60/47.43 tff(248,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 75.60/47.43 tff(249,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[248, 247])).
% 75.60/47.43 tff(250,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[249, 245])).
% 75.60/47.43 tff(251,plain,(
% 75.60/47.43 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(skolemize,[status(sab)],[250])).
% 75.60/47.43 tff(252,plain,
% 75.60/47.43 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[251, 244])).
% 75.60/47.43 tff(253,plain,
% 75.60/47.43 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB13) | v72(constB13) | v74(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB13) | v72(constB13) | v74(constB13))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(254,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB13) | v72(constB13) | v74(constB13))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(255,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB13) | v72(constB13) | v74(constB13)),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[254, 253])).
% 75.60/47.43 tff(256,plain,
% 75.60/47.43 (v72(constB13) | v74(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[255, 252, 137])).
% 75.60/47.43 tff(257,plain,
% 75.60/47.43 (v74(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[256, 242])).
% 75.60/47.43 tff(258,plain,
% 75.60/47.43 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(259,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[258])).
% 75.60/47.43 tff(260,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(261,plain,
% 75.60/47.43 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 75.60/47.43 inference(bind,[status(th)],[])).
% 75.60/47.43 tff(262,plain,
% 75.60/47.43 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(quant_intro,[status(thm)],[261])).
% 75.60/47.43 tff(263,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 75.60/47.43 tff(264,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[263, 262])).
% 75.60/47.43 tff(265,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[264, 260])).
% 75.60/47.43 tff(266,plain,(
% 75.60/47.43 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(skolemize,[status(sab)],[265])).
% 75.60/47.43 tff(267,plain,
% 75.60/47.43 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[266, 259])).
% 75.60/47.43 tff(268,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB13) | (~v26(constB13)) | (~v74(constB13)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB13) | (~v26(constB13)) | (~v74(constB13)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(269,plain,
% 75.60/47.43 (((~v26(constB13)) | v60(constB13) | (~v74(constB13))) <=> (v60(constB13) | (~v26(constB13)) | (~v74(constB13)))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(270,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB13)) | v60(constB13) | (~v74(constB13)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB13) | (~v26(constB13)) | (~v74(constB13))))),
% 75.60/47.43 inference(monotonicity,[status(thm)],[269])).
% 75.60/47.43 tff(271,plain,
% 75.60/47.43 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB13)) | v60(constB13) | (~v74(constB13)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB13) | (~v26(constB13)) | (~v74(constB13)))),
% 75.60/47.43 inference(transitivity,[status(thm)],[270, 268])).
% 75.60/47.43 tff(272,plain,
% 75.60/47.43 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB13)) | v60(constB13) | (~v74(constB13)))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(273,plain,
% 75.60/47.43 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB13) | (~v26(constB13)) | (~v74(constB13))),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[272, 271])).
% 75.60/47.43 tff(274,plain,
% 75.60/47.43 (v60(constB13) | (~v26(constB13))),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[273, 267, 257])).
% 75.60/47.43 tff(275,plain,
% 75.60/47.43 (~v26(constB13)),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[274, 173])).
% 75.60/47.43 tff(276,assumption,(v26(constB7)), introduced(assumption)).
% 75.60/47.43 tff(277,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(278,plain,
% 75.60/47.43 ($false),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[277, 14, 276])).
% 75.60/47.43 tff(279,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.43 tff(280,assumption,(v26(constB5)), introduced(assumption)).
% 75.60/47.43 tff(281,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(282,plain,
% 75.60/47.43 ($false),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[281, 14, 280])).
% 75.60/47.43 tff(283,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.43 tff(284,assumption,(v26(constB3)), introduced(assumption)).
% 75.60/47.43 tff(285,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(286,plain,
% 75.60/47.43 ($false),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[285, 14, 284])).
% 75.60/47.43 tff(287,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.43 tff(288,assumption,(v26(constB1)), introduced(assumption)).
% 75.60/47.43 tff(289,plain,
% 75.60/47.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 75.60/47.43 inference(quant_inst,[status(thm)],[])).
% 75.60/47.43 tff(290,plain,
% 75.60/47.43 ($false),
% 75.60/47.43 inference(unit_resolution,[status(thm)],[289, 14, 288])).
% 75.60/47.43 tff(291,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.43 tff(292,plain,
% 75.60/47.43 ((~v1(constB1)) <=> (~v1(constB1))),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(293,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 75.60/47.43 tff(294,plain,
% 75.60/47.43 (~v1(constB1)),
% 75.60/47.43 inference(modus_ponens,[status(thm)],[293, 292])).
% 75.60/47.43 tff(295,plain,
% 75.60/47.43 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 75.60/47.43 inference(rewrite,[status(thm)],[])).
% 75.60/47.43 tff(296,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 75.60/47.43 tff(297,plain,
% 75.60/47.43 (nextState(constB0, constB1)),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[296, 295])).
% 75.60/47.44 tff(298,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(299,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[298])).
% 75.60/47.44 tff(300,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(301,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(302,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[301])).
% 75.60/47.44 tff(303,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 75.60/47.44 tff(304,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[303, 302])).
% 75.60/47.44 tff(305,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[304, 300])).
% 75.60/47.44 tff(306,plain,(
% 75.60/47.44 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(skolemize,[status(sab)],[305])).
% 75.60/47.44 tff(307,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[306, 299])).
% 75.60/47.44 tff(308,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(309,plain,
% 75.60/47.44 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(310,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 75.60/47.44 inference(monotonicity,[status(thm)],[309])).
% 75.60/47.44 tff(311,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 75.60/47.44 inference(transitivity,[status(thm)],[310, 308])).
% 75.60/47.44 tff(312,plain,
% 75.60/47.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 75.60/47.44 inference(quant_inst,[status(thm)],[])).
% 75.60/47.44 tff(313,plain,
% 75.60/47.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[312, 311])).
% 75.60/47.44 tff(314,plain,
% 75.60/47.44 (~v101(constB1)),
% 75.60/47.44 inference(unit_resolution,[status(thm)],[313, 307, 297, 294])).
% 75.60/47.44 tff(315,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(316,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[315])).
% 75.60/47.44 tff(317,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(318,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : rewrite(((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(319,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[318])).
% 75.60/47.44 tff(320,axiom,(![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 75.60/47.44 tff(321,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[320, 319])).
% 75.60/47.44 tff(322,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[321, 317])).
% 75.60/47.44 tff(323,plain,(
% 75.60/47.44 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(skolemize,[status(sab)],[322])).
% 75.60/47.44 tff(324,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[323, 316])).
% 75.60/47.44 tff(325,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(326,plain,
% 75.60/47.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 75.60/47.44 inference(quant_inst,[status(thm)],[])).
% 75.60/47.44 tff(327,plain,
% 75.60/47.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[326, 325])).
% 75.60/47.44 tff(328,plain,
% 75.60/47.44 (v101(constB1) | (~v100(constB1))),
% 75.60/47.44 inference(unit_resolution,[status(thm)],[327, 324, 297])).
% 75.60/47.44 tff(329,plain,
% 75.60/47.44 (~v100(constB1)),
% 75.60/47.44 inference(unit_resolution,[status(thm)],[328, 314])).
% 75.60/47.44 tff(330,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(331,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[330])).
% 75.60/47.44 tff(332,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(333,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(334,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[333])).
% 75.60/47.44 tff(335,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 75.60/47.44 tff(336,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[335, 334])).
% 75.60/47.44 tff(337,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[336, 332])).
% 75.60/47.44 tff(338,plain,(
% 75.60/47.44 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(skolemize,[status(sab)],[337])).
% 75.60/47.44 tff(339,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[338, 331])).
% 75.60/47.44 tff(340,plain,
% 75.60/47.44 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(341,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 75.60/47.44 tff(342,plain,
% 75.60/47.44 (~v90(constB0, bitIndex2)),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[341, 340])).
% 75.60/47.44 tff(343,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(344,plain,
% 75.60/47.44 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(345,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 75.60/47.44 inference(monotonicity,[status(thm)],[344])).
% 75.60/47.44 tff(346,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 75.60/47.44 inference(transitivity,[status(thm)],[345, 343])).
% 75.60/47.44 tff(347,plain,
% 75.60/47.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 75.60/47.44 inference(quant_inst,[status(thm)],[])).
% 75.60/47.44 tff(348,plain,
% 75.60/47.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[347, 346])).
% 75.60/47.44 tff(349,plain,
% 75.60/47.44 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 75.60/47.44 inference(unit_resolution,[status(thm)],[348, 342, 339, 297])).
% 75.60/47.44 tff(350,plain,
% 75.60/47.44 (~v90(constB1, bitIndex2)),
% 75.60/47.44 inference(unit_resolution,[status(thm)],[349, 329])).
% 75.60/47.44 tff(351,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(352,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[351])).
% 75.60/47.44 tff(353,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(354,plain,
% 75.60/47.44 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 75.60/47.44 inference(bind,[status(th)],[])).
% 75.60/47.44 tff(355,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(quant_intro,[status(thm)],[354])).
% 75.60/47.44 tff(356,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 75.60/47.44 tff(357,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[356, 355])).
% 75.60/47.44 tff(358,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[357, 353])).
% 75.60/47.44 tff(359,plain,(
% 75.60/47.44 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(skolemize,[status(sab)],[358])).
% 75.60/47.44 tff(360,plain,
% 75.60/47.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[359, 352])).
% 75.60/47.44 tff(361,plain,
% 75.60/47.44 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(362,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 75.60/47.44 tff(363,plain,
% 75.60/47.44 (~v90(constB0, bitIndex1)),
% 75.60/47.44 inference(modus_ponens,[status(thm)],[362, 361])).
% 75.60/47.44 tff(364,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(365,plain,
% 75.60/47.44 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 75.60/47.44 inference(rewrite,[status(thm)],[])).
% 75.60/47.44 tff(366,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 75.60/47.44 inference(monotonicity,[status(thm)],[365])).
% 75.60/47.44 tff(367,plain,
% 75.60/47.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 75.60/47.45 inference(transitivity,[status(thm)],[366, 364])).
% 75.60/47.45 tff(368,plain,
% 75.60/47.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 75.60/47.45 inference(quant_inst,[status(thm)],[])).
% 75.60/47.45 tff(369,plain,
% 75.60/47.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[368, 367])).
% 75.60/47.45 tff(370,plain,
% 75.60/47.45 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 75.60/47.45 inference(unit_resolution,[status(thm)],[369, 363, 360, 297])).
% 75.60/47.45 tff(371,plain,
% 75.60/47.45 (~v90(constB1, bitIndex1)),
% 75.60/47.45 inference(unit_resolution,[status(thm)],[370, 329])).
% 75.60/47.45 tff(372,plain,
% 75.60/47.45 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(373,plain,
% 75.60/47.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[372])).
% 75.60/47.45 tff(374,plain,
% 75.60/47.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(375,plain,
% 75.60/47.45 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(376,plain,
% 75.60/47.45 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[375])).
% 75.60/47.45 tff(377,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 75.60/47.45 tff(378,plain,
% 75.60/47.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[377, 376])).
% 75.60/47.45 tff(379,plain,
% 75.60/47.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[378, 374])).
% 75.60/47.45 tff(380,plain,(
% 75.60/47.45 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(skolemize,[status(sab)],[379])).
% 75.60/47.45 tff(381,plain,
% 75.60/47.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[380, 373])).
% 75.60/47.45 tff(382,plain,
% 75.60/47.45 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(383,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 75.60/47.45 tff(384,plain,
% 75.60/47.45 (~v90(constB0, bitIndex0)),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[383, 382])).
% 75.60/47.45 tff(385,plain,
% 75.60/47.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(386,plain,
% 75.60/47.45 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(387,plain,
% 75.60/47.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 75.60/47.45 inference(monotonicity,[status(thm)],[386])).
% 75.60/47.45 tff(388,plain,
% 75.60/47.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 75.60/47.45 inference(transitivity,[status(thm)],[387, 385])).
% 75.60/47.45 tff(389,plain,
% 75.60/47.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 75.60/47.45 inference(quant_inst,[status(thm)],[])).
% 75.60/47.45 tff(390,plain,
% 75.60/47.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[389, 388])).
% 75.60/47.45 tff(391,plain,
% 75.60/47.45 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 75.60/47.45 inference(unit_resolution,[status(thm)],[390, 384, 381, 297])).
% 75.60/47.45 tff(392,plain,
% 75.60/47.45 (~v90(constB1, bitIndex0)),
% 75.60/47.45 inference(unit_resolution,[status(thm)],[391, 329])).
% 75.60/47.45 tff(393,plain,
% 75.60/47.45 (^[VarCurr: $i] : refl((v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(394,plain,
% 75.60/47.45 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[393])).
% 75.60/47.45 tff(395,plain,
% 75.60/47.45 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(396,plain,
% 75.60/47.45 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(397,plain,
% 75.60/47.45 (![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[396])).
% 75.60/47.45 tff(398,axiom,(![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 75.60/47.45 tff(399,plain,
% 75.60/47.45 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[398, 397])).
% 75.60/47.45 tff(400,plain,
% 75.60/47.45 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[399, 395])).
% 75.60/47.45 tff(401,plain,(
% 75.60/47.45 ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(skolemize,[status(sab)],[400])).
% 75.60/47.45 tff(402,plain,
% 75.60/47.45 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[401, 394])).
% 75.60/47.45 tff(403,plain,
% 75.60/47.45 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(404,plain,
% 75.60/47.45 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 75.60/47.45 inference(quant_inst,[status(thm)],[])).
% 75.60/47.45 tff(405,plain,
% 75.60/47.45 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[404, 403])).
% 75.60/47.45 tff(406,plain,
% 75.60/47.45 (v119(constB1)),
% 75.60/47.45 inference(unit_resolution,[status(thm)],[405, 402, 392, 371, 350])).
% 75.60/47.45 tff(407,plain,
% 75.60/47.45 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(408,plain,
% 75.60/47.45 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[407])).
% 75.60/47.45 tff(409,plain,
% 75.60/47.45 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(410,plain,
% 75.60/47.45 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(411,plain,
% 75.60/47.45 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[410])).
% 75.60/47.45 tff(412,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_3')).
% 75.60/47.45 tff(413,plain,
% 75.60/47.45 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[412, 411])).
% 75.60/47.45 tff(414,plain,
% 75.60/47.45 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[413, 409])).
% 75.60/47.45 tff(415,plain,(
% 75.60/47.45 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(skolemize,[status(sab)],[414])).
% 75.60/47.45 tff(416,plain,
% 75.60/47.45 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[415, 408])).
% 75.60/47.45 tff(417,plain,
% 75.60/47.45 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(418,plain,
% 75.60/47.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 75.60/47.45 inference(quant_inst,[status(thm)],[])).
% 75.60/47.45 tff(419,plain,
% 75.60/47.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2))),
% 75.60/47.45 inference(modus_ponens,[status(thm)],[418, 417])).
% 75.60/47.45 tff(420,plain,
% 75.60/47.45 (~v130(constB1, bitIndex2)),
% 75.60/47.45 inference(unit_resolution,[status(thm)],[419, 416, 406])).
% 75.60/47.45 tff(421,plain,
% 75.60/47.45 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(422,plain,
% 75.60/47.45 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(quant_intro,[status(thm)],[421])).
% 75.60/47.45 tff(423,plain,
% 75.60/47.45 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.45 inference(rewrite,[status(thm)],[])).
% 75.60/47.45 tff(424,plain,
% 75.60/47.45 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))))),
% 75.60/47.45 inference(bind,[status(th)],[])).
% 75.60/47.45 tff(425,plain,
% 75.60/47.45 (![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[424])).
% 75.60/47.46 tff(426,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 75.60/47.46 tff(427,plain,
% 75.60/47.46 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[426, 425])).
% 75.60/47.46 tff(428,plain,
% 75.60/47.46 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[427, 423])).
% 75.60/47.46 tff(429,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[428])).
% 75.60/47.46 tff(430,plain,
% 75.60/47.46 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[429, 422])).
% 75.60/47.46 tff(431,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(432,plain,
% 75.60/47.46 ((v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2))) <=> ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(433,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)))),
% 75.60/47.46 inference(monotonicity,[status(thm)],[432])).
% 75.60/47.46 tff(434,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 75.60/47.46 inference(transitivity,[status(thm)],[433, 431])).
% 75.60/47.46 tff(435,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(436,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[435, 434])).
% 75.60/47.46 tff(437,plain,
% 75.60/47.46 ((~v127(constB1, bitIndex2)) | v26(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[436, 430, 420])).
% 75.60/47.46 tff(438,plain,
% 75.60/47.46 (~v127(constB1, bitIndex2)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[437, 291])).
% 75.60/47.46 tff(439,plain,
% 75.60/47.46 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(440,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 75.60/47.46 tff(441,plain,
% 75.60/47.46 (nextState(constB1, constB2)),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[440, 439])).
% 75.60/47.46 tff(442,plain,
% 75.60/47.46 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(443,plain,
% 75.60/47.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[442])).
% 75.60/47.46 tff(444,plain,
% 75.60/47.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(445,plain,
% 75.60/47.46 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(446,plain,
% 75.60/47.46 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[445])).
% 75.60/47.46 tff(447,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 75.60/47.46 tff(448,plain,
% 75.60/47.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[447, 446])).
% 75.60/47.46 tff(449,plain,
% 75.60/47.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[448, 444])).
% 75.60/47.46 tff(450,plain,(
% 75.60/47.46 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[449])).
% 75.60/47.46 tff(451,plain,
% 75.60/47.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[450, 443])).
% 75.60/47.46 tff(452,plain,
% 75.60/47.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(453,plain,
% 75.60/47.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(454,plain,
% 75.60/47.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[453, 452])).
% 75.60/47.46 tff(455,plain,
% 75.60/47.46 (v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[454, 451, 441])).
% 75.60/47.46 tff(456,plain,
% 75.60/47.46 (~v129(constB2, bitIndex2)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[455, 438])).
% 75.60/47.46 tff(457,assumption,(~v108(constB1)), introduced(assumption)).
% 75.60/47.46 tff(458,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v112(VarCurr))) <=> (v108(VarCurr) | (~v112(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(459,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[458])).
% 75.60/47.46 tff(460,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(461,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 75.60/47.46 tff(462,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[461, 460])).
% 75.60/47.46 tff(463,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[462])).
% 75.60/47.46 tff(464,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[463, 459])).
% 75.60/47.46 tff(465,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(466,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(467,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[466, 465])).
% 75.60/47.46 tff(468,plain,
% 75.60/47.46 (~v112(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[467, 464, 457])).
% 75.60/47.46 tff(469,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v26(VarCurr))) <=> (v108(VarCurr) | (~v26(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(470,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[469])).
% 75.60/47.46 tff(471,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(472,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 75.60/47.46 tff(473,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[472, 471])).
% 75.60/47.46 tff(474,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[473])).
% 75.60/47.46 tff(475,plain,
% 75.60/47.46 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[474, 470])).
% 75.60/47.46 tff(476,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB1) | (~v26(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB1) | (~v26(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(477,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB1) | (~v26(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(478,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB1) | (~v26(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[477, 476])).
% 75.60/47.46 tff(479,plain,
% 75.60/47.46 (~v26(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[478, 475, 457])).
% 75.60/47.46 tff(480,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v119(VarCurr))) <=> (v118(VarCurr) | (~v119(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(481,plain,
% 75.60/47.46 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[480])).
% 75.60/47.46 tff(482,plain,
% 75.60/47.46 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(483,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 75.60/47.46 tff(484,plain,
% 75.60/47.46 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[483, 482])).
% 75.60/47.46 tff(485,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[484])).
% 75.60/47.46 tff(486,plain,
% 75.60/47.46 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[485, 481])).
% 75.60/47.46 tff(487,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(488,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(489,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[488, 487])).
% 75.60/47.46 tff(490,plain,
% 75.60/47.46 (v118(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[489, 486, 406])).
% 75.60/47.46 tff(491,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v118(VarCurr))) <=> (v117(VarCurr) | (~v118(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(492,plain,
% 75.60/47.46 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[491])).
% 75.60/47.46 tff(493,plain,
% 75.60/47.46 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(494,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 75.60/47.46 tff(495,plain,
% 75.60/47.46 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[494, 493])).
% 75.60/47.46 tff(496,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[495])).
% 75.60/47.46 tff(497,plain,
% 75.60/47.46 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[496, 492])).
% 75.60/47.46 tff(498,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(499,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(500,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[499, 498])).
% 75.60/47.46 tff(501,plain,
% 75.60/47.46 (v117(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[500, 497, 490])).
% 75.60/47.46 tff(502,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v117(VarCurr))) <=> (v116(VarCurr) | (~v117(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(503,plain,
% 75.60/47.46 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[502])).
% 75.60/47.46 tff(504,plain,
% 75.60/47.46 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(505,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 75.60/47.46 tff(506,plain,
% 75.60/47.46 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[505, 504])).
% 75.60/47.46 tff(507,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[506])).
% 75.60/47.46 tff(508,plain,
% 75.60/47.46 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[507, 503])).
% 75.60/47.46 tff(509,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(510,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(511,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[510, 509])).
% 75.60/47.46 tff(512,plain,
% 75.60/47.46 (v116(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[511, 508, 501])).
% 75.60/47.46 tff(513,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v116(VarCurr))) <=> (v115(VarCurr) | (~v116(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(514,plain,
% 75.60/47.46 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[513])).
% 75.60/47.46 tff(515,plain,
% 75.60/47.46 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(516,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 75.60/47.46 tff(517,plain,
% 75.60/47.46 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[516, 515])).
% 75.60/47.46 tff(518,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[517])).
% 75.60/47.46 tff(519,plain,
% 75.60/47.46 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[518, 514])).
% 75.60/47.46 tff(520,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(521,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(522,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[521, 520])).
% 75.60/47.46 tff(523,plain,
% 75.60/47.46 (v115(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[522, 519, 512])).
% 75.60/47.46 tff(524,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v115(VarCurr))) <=> (v114(VarCurr) | (~v115(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(525,plain,
% 75.60/47.46 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[524])).
% 75.60/47.46 tff(526,plain,
% 75.60/47.46 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(527,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 75.60/47.46 tff(528,plain,
% 75.60/47.46 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[527, 526])).
% 75.60/47.46 tff(529,plain,(
% 75.60/47.46 ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 75.60/47.46 inference(skolemize,[status(sab)],[528])).
% 75.60/47.46 tff(530,plain,
% 75.60/47.46 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[529, 525])).
% 75.60/47.46 tff(531,plain,
% 75.60/47.46 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1)))),
% 75.60/47.46 inference(rewrite,[status(thm)],[])).
% 75.60/47.46 tff(532,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))),
% 75.60/47.46 inference(quant_inst,[status(thm)],[])).
% 75.60/47.46 tff(533,plain,
% 75.60/47.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1))),
% 75.60/47.46 inference(modus_ponens,[status(thm)],[532, 531])).
% 75.60/47.46 tff(534,plain,
% 75.60/47.46 (v114(constB1)),
% 75.60/47.46 inference(unit_resolution,[status(thm)],[533, 530, 523])).
% 75.60/47.46 tff(535,plain,
% 75.60/47.46 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v114(VarCurr))) <=> (v113(VarCurr) | (~v114(VarCurr))))),
% 75.60/47.46 inference(bind,[status(th)],[])).
% 75.60/47.46 tff(536,plain,
% 75.60/47.46 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 75.60/47.46 inference(quant_intro,[status(thm)],[535])).
% 75.60/47.46 tff(537,plain,
% 75.60/47.46 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(538,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 75.60/47.47 tff(539,plain,
% 75.60/47.47 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[538, 537])).
% 75.60/47.47 tff(540,plain,(
% 75.60/47.47 ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 75.60/47.47 inference(skolemize,[status(sab)],[539])).
% 75.60/47.47 tff(541,plain,
% 75.60/47.47 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[540, 536])).
% 75.60/47.47 tff(542,plain,
% 75.60/47.47 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(543,plain,
% 75.60/47.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))),
% 75.60/47.47 inference(quant_inst,[status(thm)],[])).
% 75.60/47.47 tff(544,plain,
% 75.60/47.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[543, 542])).
% 75.60/47.47 tff(545,plain,
% 75.60/47.47 (v113(constB1)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[544, 541, 534])).
% 75.60/47.47 tff(546,plain,
% 75.60/47.47 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(547,plain,
% 75.60/47.47 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[546])).
% 75.60/47.47 tff(548,plain,
% 75.60/47.47 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(549,plain,
% 75.60/47.47 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(550,plain,
% 75.60/47.47 (![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[549])).
% 75.60/47.47 tff(551,axiom,(![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 75.60/47.47 tff(552,plain,
% 75.60/47.47 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[551, 550])).
% 75.60/47.47 tff(553,plain,
% 75.60/47.47 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[552, 548])).
% 75.60/47.47 tff(554,plain,(
% 75.60/47.47 ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(skolemize,[status(sab)],[553])).
% 75.60/47.47 tff(555,plain,
% 75.60/47.47 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[554, 547])).
% 75.60/47.47 tff(556,plain,
% 75.60/47.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(557,plain,
% 75.60/47.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 75.60/47.47 inference(quant_inst,[status(thm)],[])).
% 75.60/47.47 tff(558,plain,
% 75.60/47.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[557, 556])).
% 75.60/47.47 tff(559,plain,
% 75.60/47.47 (v26(constB1) | v112(constB1)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[558, 555, 545])).
% 75.60/47.47 tff(560,plain,
% 75.60/47.47 ($false),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[559, 479, 468])).
% 75.60/47.47 tff(561,plain,(v108(constB1)), inference(lemma,lemma(discharge,[]))).
% 75.60/47.47 tff(562,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(563,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[562])).
% 75.60/47.47 tff(564,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(565,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(566,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[565])).
% 75.60/47.47 tff(567,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 75.60/47.47 tff(568,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[567, 566])).
% 75.60/47.47 tff(569,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[568, 564])).
% 75.60/47.47 tff(570,plain,(
% 75.60/47.47 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(skolemize,[status(sab)],[569])).
% 75.60/47.47 tff(571,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[570, 563])).
% 75.60/47.47 tff(572,plain,
% 75.60/47.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(573,plain,
% 75.60/47.47 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(574,plain,
% 75.60/47.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 75.60/47.47 inference(monotonicity,[status(thm)],[573])).
% 75.60/47.47 tff(575,plain,
% 75.60/47.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 75.60/47.47 inference(transitivity,[status(thm)],[574, 572])).
% 75.60/47.47 tff(576,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 75.60/47.47 inference(quant_inst,[status(thm)],[])).
% 75.60/47.47 tff(577,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[576, 575])).
% 75.60/47.47 tff(578,plain,
% 75.60/47.47 (v110(constB2) | (~v108(constB1))),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[577, 571, 441])).
% 75.60/47.47 tff(579,plain,
% 75.60/47.47 (v110(constB2)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[578, 561])).
% 75.60/47.47 tff(580,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(581,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[580])).
% 75.60/47.47 tff(582,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(583,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(584,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[583])).
% 75.60/47.47 tff(585,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 75.60/47.47 tff(586,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[585, 584])).
% 75.60/47.47 tff(587,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[586, 582])).
% 75.60/47.47 tff(588,plain,(
% 75.60/47.47 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(skolemize,[status(sab)],[587])).
% 75.60/47.47 tff(589,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[588, 581])).
% 75.60/47.47 tff(590,plain,
% 75.60/47.47 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(591,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 75.60/47.47 inference(quant_inst,[status(thm)],[])).
% 75.60/47.47 tff(592,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[591, 590])).
% 75.60/47.47 tff(593,plain,
% 75.60/47.47 (~v104(constB2)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[592, 589, 441, 294])).
% 75.60/47.47 tff(594,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(595,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[594])).
% 75.60/47.47 tff(596,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(597,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v104(VarNext) | v102(VarNext)) <=> (v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(598,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[597])).
% 75.60/47.47 tff(599,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 75.60/47.47 tff(600,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[599, 598])).
% 75.60/47.47 tff(601,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[600, 596])).
% 75.60/47.47 tff(602,plain,(
% 75.60/47.47 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(skolemize,[status(sab)],[601])).
% 75.60/47.47 tff(603,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[602, 595])).
% 75.60/47.47 tff(604,plain,
% 75.60/47.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(605,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 75.60/47.47 inference(quant_inst,[status(thm)],[])).
% 75.60/47.47 tff(606,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[605, 604])).
% 75.60/47.47 tff(607,plain,
% 75.60/47.47 (v102(constB2) | v104(constB2)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[606, 603, 441])).
% 75.60/47.47 tff(608,plain,
% 75.60/47.47 (v102(constB2)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[607, 593])).
% 75.60/47.47 tff(609,plain,
% 75.60/47.47 (v1(constB2) <=> v1(constB2)),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(610,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 75.60/47.47 tff(611,plain,
% 75.60/47.47 (v1(constB2)),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[610, 609])).
% 75.60/47.47 tff(612,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(613,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[612])).
% 75.60/47.47 tff(614,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(615,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) <=> (v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(616,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[615])).
% 75.60/47.47 tff(617,axiom,(![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 75.60/47.47 tff(618,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[617, 616])).
% 75.60/47.47 tff(619,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[618, 614])).
% 75.60/47.47 tff(620,plain,(
% 75.60/47.47 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(skolemize,[status(sab)],[619])).
% 75.60/47.47 tff(621,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[620, 613])).
% 75.60/47.47 tff(622,plain,
% 75.60/47.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(623,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 75.60/47.47 inference(quant_inst,[status(thm)],[])).
% 75.60/47.47 tff(624,plain,
% 75.60/47.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 75.60/47.47 inference(modus_ponens,[status(thm)],[623, 622])).
% 75.60/47.47 tff(625,plain,
% 75.60/47.47 (v101(constB2) | (~v102(constB2))),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[624, 621, 441, 611])).
% 75.60/47.47 tff(626,plain,
% 75.60/47.47 (v101(constB2)),
% 75.60/47.47 inference(unit_resolution,[status(thm)],[625, 608])).
% 75.60/47.47 tff(627,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 75.60/47.47 inference(bind,[status(th)],[])).
% 75.60/47.47 tff(628,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.47 inference(quant_intro,[status(thm)],[627])).
% 75.60/47.47 tff(629,plain,
% 75.60/47.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.47 inference(rewrite,[status(thm)],[])).
% 75.60/47.47 tff(630,plain,
% 75.60/47.47 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) <=> ((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 75.60/47.48 inference(bind,[status(th)],[])).
% 75.60/47.48 tff(631,plain,
% 75.60/47.48 (![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.48 inference(quant_intro,[status(thm)],[630])).
% 75.60/47.48 tff(632,axiom,(![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 75.60/47.48 tff(633,plain,
% 75.60/47.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[632, 631])).
% 75.60/47.48 tff(634,plain,
% 75.60/47.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[633, 629])).
% 75.60/47.48 tff(635,plain,(
% 75.60/47.48 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.48 inference(skolemize,[status(sab)],[634])).
% 75.60/47.48 tff(636,plain,
% 75.60/47.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[635, 628])).
% 75.60/47.48 tff(637,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(638,plain,
% 75.60/47.48 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(639,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 75.60/47.48 inference(monotonicity,[status(thm)],[638])).
% 75.60/47.48 tff(640,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 75.60/47.48 inference(transitivity,[status(thm)],[639, 637])).
% 75.60/47.48 tff(641,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 75.60/47.48 inference(quant_inst,[status(thm)],[])).
% 75.60/47.48 tff(642,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[641, 640])).
% 75.60/47.48 tff(643,plain,
% 75.60/47.48 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[642, 636, 441])).
% 75.60/47.48 tff(644,plain,
% 75.60/47.48 (v100(constB2) | (~v110(constB2))),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[643, 626])).
% 75.60/47.48 tff(645,plain,
% 75.60/47.48 (v100(constB2)),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[644, 579])).
% 75.60/47.48 tff(646,plain,
% 75.60/47.48 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)))),
% 75.60/47.48 inference(bind,[status(th)],[])).
% 75.60/47.48 tff(647,plain,
% 75.60/47.48 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(quant_intro,[status(thm)],[646])).
% 75.60/47.48 tff(648,plain,
% 75.60/47.48 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(649,plain,
% 75.60/47.48 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))))),
% 75.60/47.48 inference(bind,[status(th)],[])).
% 75.60/47.48 tff(650,plain,
% 75.60/47.48 (![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(quant_intro,[status(thm)],[649])).
% 75.60/47.48 tff(651,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 75.60/47.48 tff(652,plain,
% 75.60/47.48 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[651, 650])).
% 75.60/47.48 tff(653,plain,
% 75.60/47.48 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[652, 648])).
% 75.60/47.48 tff(654,plain,(
% 75.60/47.48 ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(skolemize,[status(sab)],[653])).
% 75.60/47.48 tff(655,plain,
% 75.60/47.48 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[654, 647])).
% 75.60/47.48 tff(656,plain,
% 75.60/47.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(657,plain,
% 75.60/47.48 (((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(658,plain,
% 75.60/47.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))))),
% 75.60/47.48 inference(monotonicity,[status(thm)],[657])).
% 75.60/47.48 tff(659,plain,
% 75.60/47.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 75.60/47.48 inference(transitivity,[status(thm)],[658, 656])).
% 75.60/47.48 tff(660,plain,
% 75.60/47.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))),
% 75.60/47.48 inference(quant_inst,[status(thm)],[])).
% 75.60/47.48 tff(661,plain,
% 75.60/47.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[660, 659])).
% 75.60/47.48 tff(662,plain,
% 75.60/47.48 ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2)),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[661, 655, 645])).
% 75.60/47.48 tff(663,plain,
% 75.60/47.48 (~v90(constB2, bitIndex2)),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[662, 456])).
% 75.60/47.48 tff(664,plain,
% 75.60/47.48 ((~v1(constB3)) <=> (~v1(constB3))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(665,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 75.60/47.48 tff(666,plain,
% 75.60/47.48 (~v1(constB3)),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[665, 664])).
% 75.60/47.48 tff(667,plain,
% 75.60/47.48 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(668,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 75.60/47.48 tff(669,plain,
% 75.60/47.48 (nextState(constB2, constB3)),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[668, 667])).
% 75.60/47.48 tff(670,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(671,plain,
% 75.60/47.48 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(672,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 75.60/47.48 inference(monotonicity,[status(thm)],[671])).
% 75.60/47.48 tff(673,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 75.60/47.48 inference(transitivity,[status(thm)],[672, 670])).
% 75.60/47.48 tff(674,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 75.60/47.48 inference(quant_inst,[status(thm)],[])).
% 75.60/47.48 tff(675,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[674, 673])).
% 75.60/47.48 tff(676,plain,
% 75.60/47.48 (~v101(constB3)),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[675, 307, 669, 666])).
% 75.60/47.48 tff(677,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(678,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 75.60/47.48 inference(quant_inst,[status(thm)],[])).
% 75.60/47.48 tff(679,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[678, 677])).
% 75.60/47.48 tff(680,plain,
% 75.60/47.48 (v101(constB3) | (~v100(constB3))),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[679, 324, 669])).
% 75.60/47.48 tff(681,plain,
% 75.60/47.48 (~v100(constB3)),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[680, 676])).
% 75.60/47.48 tff(682,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(683,plain,
% 75.60/47.48 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 75.60/47.48 inference(rewrite,[status(thm)],[])).
% 75.60/47.48 tff(684,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))))),
% 75.60/47.48 inference(monotonicity,[status(thm)],[683])).
% 75.60/47.48 tff(685,plain,
% 75.60/47.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 75.60/47.48 inference(transitivity,[status(thm)],[684, 682])).
% 75.60/47.48 tff(686,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 75.60/47.48 inference(quant_inst,[status(thm)],[])).
% 75.60/47.48 tff(687,plain,
% 75.60/47.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 75.60/47.48 inference(modus_ponens,[status(thm)],[686, 685])).
% 75.60/47.48 tff(688,plain,
% 75.60/47.48 (v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[687, 339, 669])).
% 75.60/47.48 tff(689,plain,
% 75.60/47.48 (v90(constB2, bitIndex2) | (~v90(constB3, bitIndex2))),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[688, 681])).
% 75.60/47.48 tff(690,plain,
% 75.60/47.48 (~v90(constB3, bitIndex2)),
% 75.60/47.48 inference(unit_resolution,[status(thm)],[689, 663])).
% 75.60/47.48 tff(691,plain,
% 75.60/47.48 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(692,plain,
% 75.60/47.49 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[691])).
% 75.60/47.49 tff(693,plain,
% 75.60/47.49 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(694,plain,
% 75.60/47.49 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(695,plain,
% 75.60/47.49 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[694])).
% 75.60/47.49 tff(696,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_2')).
% 75.60/47.49 tff(697,plain,
% 75.60/47.49 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[696, 695])).
% 75.60/47.49 tff(698,plain,
% 75.60/47.49 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[697, 693])).
% 75.60/47.49 tff(699,plain,(
% 75.60/47.49 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(skolemize,[status(sab)],[698])).
% 75.60/47.49 tff(700,plain,
% 75.60/47.49 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[699, 692])).
% 75.60/47.49 tff(701,plain,
% 75.60/47.49 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(702,plain,
% 75.60/47.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 75.60/47.49 inference(quant_inst,[status(thm)],[])).
% 75.60/47.49 tff(703,plain,
% 75.60/47.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[702, 701])).
% 75.60/47.49 tff(704,plain,
% 75.60/47.49 (~v130(constB1, bitIndex1)),
% 75.60/47.49 inference(unit_resolution,[status(thm)],[703, 700, 406])).
% 75.60/47.49 tff(705,plain,
% 75.60/47.49 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(706,plain,
% 75.60/47.49 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[705])).
% 75.60/47.49 tff(707,plain,
% 75.60/47.49 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(708,plain,
% 75.60/47.49 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(709,plain,
% 75.60/47.49 (![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[708])).
% 75.60/47.49 tff(710,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 75.60/47.49 tff(711,plain,
% 75.60/47.49 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[710, 709])).
% 75.60/47.49 tff(712,plain,
% 75.60/47.49 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[711, 707])).
% 75.60/47.49 tff(713,plain,(
% 75.60/47.49 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(skolemize,[status(sab)],[712])).
% 75.60/47.49 tff(714,plain,
% 75.60/47.49 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[713, 706])).
% 75.60/47.49 tff(715,plain,
% 75.60/47.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(716,plain,
% 75.60/47.49 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(717,plain,
% 75.60/47.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 75.60/47.49 inference(monotonicity,[status(thm)],[716])).
% 75.60/47.49 tff(718,plain,
% 75.60/47.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 75.60/47.49 inference(transitivity,[status(thm)],[717, 715])).
% 75.60/47.49 tff(719,plain,
% 75.60/47.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 75.60/47.49 inference(quant_inst,[status(thm)],[])).
% 75.60/47.49 tff(720,plain,
% 75.60/47.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[719, 718])).
% 75.60/47.49 tff(721,plain,
% 75.60/47.49 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 75.60/47.49 inference(unit_resolution,[status(thm)],[720, 714, 704])).
% 75.60/47.49 tff(722,plain,
% 75.60/47.49 (~v127(constB1, bitIndex1)),
% 75.60/47.49 inference(unit_resolution,[status(thm)],[721, 291])).
% 75.60/47.49 tff(723,plain,
% 75.60/47.49 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(724,plain,
% 75.60/47.49 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[723])).
% 75.60/47.49 tff(725,plain,
% 75.60/47.49 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(726,plain,
% 75.60/47.49 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(727,plain,
% 75.60/47.49 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[726])).
% 75.60/47.49 tff(728,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 75.60/47.49 tff(729,plain,
% 75.60/47.49 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[728, 727])).
% 75.60/47.49 tff(730,plain,
% 75.60/47.49 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[729, 725])).
% 75.60/47.49 tff(731,plain,(
% 75.60/47.49 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(skolemize,[status(sab)],[730])).
% 75.60/47.49 tff(732,plain,
% 75.60/47.49 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[731, 724])).
% 75.60/47.49 tff(733,plain,
% 75.60/47.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(734,plain,
% 75.60/47.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 75.60/47.49 inference(quant_inst,[status(thm)],[])).
% 75.60/47.49 tff(735,plain,
% 75.60/47.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 75.60/47.49 inference(modus_ponens,[status(thm)],[734, 733])).
% 75.60/47.49 tff(736,plain,
% 75.60/47.49 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 75.60/47.49 inference(unit_resolution,[status(thm)],[735, 732, 441])).
% 75.60/47.49 tff(737,plain,
% 75.60/47.49 (~v129(constB2, bitIndex1)),
% 75.60/47.49 inference(unit_resolution,[status(thm)],[736, 722])).
% 75.60/47.49 tff(738,plain,
% 75.60/47.49 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 75.60/47.49 inference(bind,[status(th)],[])).
% 75.60/47.49 tff(739,plain,
% 75.60/47.49 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.60/47.49 inference(quant_intro,[status(thm)],[738])).
% 75.60/47.49 tff(740,plain,
% 75.60/47.49 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.60/47.49 inference(rewrite,[status(thm)],[])).
% 75.60/47.49 tff(741,plain,
% 75.70/47.49 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> ((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))))),
% 75.70/47.49 inference(bind,[status(th)],[])).
% 75.70/47.49 tff(742,plain,
% 75.70/47.49 (![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.70/47.49 inference(quant_intro,[status(thm)],[741])).
% 75.70/47.49 tff(743,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 75.70/47.49 tff(744,plain,
% 75.70/47.49 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.70/47.49 inference(modus_ponens,[status(thm)],[743, 742])).
% 75.70/47.49 tff(745,plain,
% 75.70/47.49 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.70/47.49 inference(modus_ponens,[status(thm)],[744, 740])).
% 75.70/47.49 tff(746,plain,(
% 75.70/47.49 ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.70/47.49 inference(skolemize,[status(sab)],[745])).
% 75.70/47.49 tff(747,plain,
% 75.70/47.49 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 75.70/47.49 inference(modus_ponens,[status(thm)],[746, 739])).
% 75.70/47.49 tff(748,plain,
% 75.70/47.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 75.70/47.49 inference(rewrite,[status(thm)],[])).
% 75.70/47.49 tff(749,plain,
% 75.70/47.49 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 75.70/47.49 inference(rewrite,[status(thm)],[])).
% 75.70/47.49 tff(750,plain,
% 75.70/47.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 75.70/47.49 inference(monotonicity,[status(thm)],[749])).
% 75.70/47.49 tff(751,plain,
% 75.70/47.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 75.70/47.49 inference(transitivity,[status(thm)],[750, 748])).
% 75.70/47.49 tff(752,plain,
% 75.70/47.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 75.70/47.49 inference(quant_inst,[status(thm)],[])).
% 75.70/47.49 tff(753,plain,
% 75.70/47.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 75.70/47.49 inference(modus_ponens,[status(thm)],[752, 751])).
% 75.70/47.49 tff(754,plain,
% 75.70/47.49 ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1)),
% 75.70/47.49 inference(unit_resolution,[status(thm)],[753, 747, 645])).
% 75.70/47.49 tff(755,plain,
% 75.70/47.49 (~v90(constB2, bitIndex1)),
% 75.70/47.49 inference(unit_resolution,[status(thm)],[754, 737])).
% 75.70/47.49 tff(756,plain,
% 75.70/47.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(757,plain,
% 75.70/47.50 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(758,plain,
% 75.70/47.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 75.70/47.50 inference(monotonicity,[status(thm)],[757])).
% 75.70/47.50 tff(759,plain,
% 75.70/47.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 75.70/47.50 inference(transitivity,[status(thm)],[758, 756])).
% 75.70/47.50 tff(760,plain,
% 75.70/47.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 75.70/47.50 inference(quant_inst,[status(thm)],[])).
% 75.70/47.50 tff(761,plain,
% 75.70/47.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[760, 759])).
% 75.70/47.50 tff(762,plain,
% 75.70/47.50 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[761, 360, 669])).
% 75.70/47.50 tff(763,plain,
% 75.70/47.50 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[762, 681])).
% 75.70/47.50 tff(764,plain,
% 75.70/47.50 (~v90(constB3, bitIndex1)),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[763, 755])).
% 75.70/47.50 tff(765,plain,
% 75.70/47.50 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(766,plain,
% 75.70/47.50 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[765])).
% 75.70/47.50 tff(767,plain,
% 75.70/47.50 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(768,plain,
% 75.70/47.50 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(769,plain,
% 75.70/47.50 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[768])).
% 75.70/47.50 tff(770,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_1')).
% 75.70/47.50 tff(771,plain,
% 75.70/47.50 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[770, 769])).
% 75.70/47.50 tff(772,plain,
% 75.70/47.50 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[771, 767])).
% 75.70/47.50 tff(773,plain,(
% 75.70/47.50 ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(skolemize,[status(sab)],[772])).
% 75.70/47.50 tff(774,plain,
% 75.70/47.50 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[773, 766])).
% 75.70/47.50 tff(775,plain,
% 75.70/47.50 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(776,plain,
% 75.70/47.50 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))),
% 75.70/47.50 inference(quant_inst,[status(thm)],[])).
% 75.70/47.50 tff(777,plain,
% 75.70/47.50 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0)),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[776, 775])).
% 75.70/47.50 tff(778,plain,
% 75.70/47.50 (v130(constB1, bitIndex0)),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[777, 774, 406])).
% 75.70/47.50 tff(779,plain,
% 75.70/47.50 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(780,plain,
% 75.70/47.50 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[779])).
% 75.70/47.50 tff(781,plain,
% 75.70/47.50 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(782,plain,
% 75.70/47.50 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) <=> ((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(783,plain,
% 75.70/47.50 (![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[782])).
% 75.70/47.50 tff(784,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 75.70/47.50 tff(785,plain,
% 75.70/47.50 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[784, 783])).
% 75.70/47.50 tff(786,plain,
% 75.70/47.50 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[785, 781])).
% 75.70/47.50 tff(787,plain,(
% 75.70/47.50 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(skolemize,[status(sab)],[786])).
% 75.70/47.50 tff(788,plain,
% 75.70/47.50 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[787, 780])).
% 75.70/47.50 tff(789,plain,
% 75.70/47.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(790,plain,
% 75.70/47.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 75.70/47.50 inference(quant_inst,[status(thm)],[])).
% 75.70/47.50 tff(791,plain,
% 75.70/47.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0)),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[790, 789])).
% 75.70/47.50 tff(792,plain,
% 75.70/47.50 (v26(constB1) | v127(constB1, bitIndex0)),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[791, 788, 778])).
% 75.70/47.50 tff(793,plain,
% 75.70/47.50 (v127(constB1, bitIndex0)),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[792, 291])).
% 75.70/47.50 tff(794,plain,
% 75.70/47.50 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(795,plain,
% 75.70/47.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[794])).
% 75.70/47.50 tff(796,plain,
% 75.70/47.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(797,plain,
% 75.70/47.50 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(798,plain,
% 75.70/47.50 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[797])).
% 75.70/47.50 tff(799,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 75.70/47.50 tff(800,plain,
% 75.70/47.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[799, 798])).
% 75.70/47.50 tff(801,plain,
% 75.70/47.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[800, 796])).
% 75.70/47.50 tff(802,plain,(
% 75.70/47.50 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(skolemize,[status(sab)],[801])).
% 75.70/47.50 tff(803,plain,
% 75.70/47.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[802, 795])).
% 75.70/47.50 tff(804,plain,
% 75.70/47.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(805,plain,
% 75.70/47.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 75.70/47.50 inference(quant_inst,[status(thm)],[])).
% 75.70/47.50 tff(806,plain,
% 75.70/47.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[805, 804])).
% 75.70/47.50 tff(807,plain,
% 75.70/47.50 ((~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[806, 803, 441])).
% 75.70/47.50 tff(808,plain,
% 75.70/47.50 (v129(constB2, bitIndex0)),
% 75.70/47.50 inference(unit_resolution,[status(thm)],[807, 793])).
% 75.70/47.50 tff(809,plain,
% 75.70/47.50 (^[VarNext: $i] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(810,plain,
% 75.70/47.50 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[809])).
% 75.70/47.50 tff(811,plain,
% 75.70/47.50 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(rewrite,[status(thm)],[])).
% 75.70/47.50 tff(812,plain,
% 75.70/47.50 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))))),
% 75.70/47.50 inference(bind,[status(th)],[])).
% 75.70/47.50 tff(813,plain,
% 75.70/47.50 (![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(quant_intro,[status(thm)],[812])).
% 75.70/47.50 tff(814,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 75.70/47.50 tff(815,plain,
% 75.70/47.50 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[814, 813])).
% 75.70/47.50 tff(816,plain,
% 75.70/47.50 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[815, 811])).
% 75.70/47.50 tff(817,plain,(
% 75.70/47.50 ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(skolemize,[status(sab)],[816])).
% 75.70/47.50 tff(818,plain,
% 75.70/47.50 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.50 inference(modus_ponens,[status(thm)],[817, 810])).
% 75.70/47.50 tff(819,plain,
% 75.70/47.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(820,plain,
% 75.70/47.51 ((v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(821,plain,
% 75.70/47.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))))),
% 75.70/47.51 inference(monotonicity,[status(thm)],[820])).
% 75.70/47.51 tff(822,plain,
% 75.70/47.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 75.70/47.51 inference(transitivity,[status(thm)],[821, 819])).
% 75.70/47.51 tff(823,plain,
% 75.70/47.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))),
% 75.70/47.51 inference(quant_inst,[status(thm)],[])).
% 75.70/47.51 tff(824,plain,
% 75.70/47.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[823, 822])).
% 75.70/47.51 tff(825,plain,
% 75.70/47.51 (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0))),
% 75.70/47.51 inference(unit_resolution,[status(thm)],[824, 818, 645])).
% 75.70/47.51 tff(826,plain,
% 75.70/47.51 (v90(constB2, bitIndex0)),
% 75.70/47.51 inference(unit_resolution,[status(thm)],[825, 808])).
% 75.70/47.51 tff(827,plain,
% 75.70/47.51 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 75.70/47.51 inference(bind,[status(th)],[])).
% 75.70/47.51 tff(828,plain,
% 75.70/47.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(quant_intro,[status(thm)],[827])).
% 75.70/47.51 tff(829,plain,
% 75.70/47.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(830,plain,
% 75.70/47.51 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 75.70/47.51 inference(bind,[status(th)],[])).
% 75.70/47.51 tff(831,plain,
% 75.70/47.51 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(quant_intro,[status(thm)],[830])).
% 75.70/47.51 tff(832,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 75.70/47.51 tff(833,plain,
% 75.70/47.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[832, 831])).
% 75.70/47.51 tff(834,plain,
% 75.70/47.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[833, 829])).
% 75.70/47.51 tff(835,plain,(
% 75.70/47.51 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(skolemize,[status(sab)],[834])).
% 75.70/47.51 tff(836,plain,
% 75.70/47.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[835, 828])).
% 75.70/47.51 tff(837,plain,
% 75.70/47.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(838,plain,
% 75.70/47.51 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(839,plain,
% 75.70/47.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)))),
% 75.70/47.51 inference(monotonicity,[status(thm)],[838])).
% 75.70/47.51 tff(840,plain,
% 75.70/47.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 75.70/47.51 inference(transitivity,[status(thm)],[839, 837])).
% 75.70/47.51 tff(841,plain,
% 75.70/47.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))),
% 75.70/47.51 inference(quant_inst,[status(thm)],[])).
% 75.70/47.51 tff(842,plain,
% 75.70/47.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[841, 840])).
% 75.70/47.51 tff(843,plain,
% 75.70/47.51 ((~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)),
% 75.70/47.51 inference(unit_resolution,[status(thm)],[842, 836, 669])).
% 75.70/47.51 tff(844,plain,
% 75.70/47.51 ((~v90(constB2, bitIndex0)) | v90(constB3, bitIndex0)),
% 75.70/47.51 inference(unit_resolution,[status(thm)],[843, 681])).
% 75.70/47.51 tff(845,plain,
% 75.70/47.51 (v90(constB3, bitIndex0)),
% 75.70/47.51 inference(unit_resolution,[status(thm)],[844, 826])).
% 75.70/47.51 tff(846,plain,
% 75.70/47.51 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(bind,[status(th)],[])).
% 75.70/47.51 tff(847,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(quant_intro,[status(thm)],[846])).
% 75.70/47.51 tff(848,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(849,plain,
% 75.70/47.51 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 75.70/47.51 inference(bind,[status(th)],[])).
% 75.70/47.51 tff(850,plain,
% 75.70/47.51 (![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(quant_intro,[status(thm)],[849])).
% 75.70/47.51 tff(851,axiom,(![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 75.70/47.51 tff(852,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[851, 850])).
% 75.70/47.51 tff(853,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[852, 848])).
% 75.70/47.51 tff(854,plain,(
% 75.70/47.51 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(skolemize,[status(sab)],[853])).
% 75.70/47.51 tff(855,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[854, 847])).
% 75.70/47.51 tff(856,plain,
% 75.70/47.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(857,plain,
% 75.70/47.51 (((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2)) <=> ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(858,plain,
% 75.70/47.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)))),
% 75.70/47.51 inference(monotonicity,[status(thm)],[857])).
% 75.70/47.51 tff(859,plain,
% 75.70/47.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 75.70/47.51 inference(transitivity,[status(thm)],[858, 856])).
% 75.70/47.51 tff(860,plain,
% 75.70/47.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))),
% 75.70/47.51 inference(quant_inst,[status(thm)],[])).
% 75.70/47.51 tff(861,plain,
% 75.70/47.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[860, 859])).
% 75.70/47.51 tff(862,plain,
% 75.70/47.51 (v120(constB3)),
% 75.70/47.51 inference(unit_resolution,[status(thm)],[861, 855, 845, 764, 690])).
% 75.70/47.51 tff(863,plain,
% 75.70/47.51 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 75.70/47.51 inference(bind,[status(th)],[])).
% 75.70/47.51 tff(864,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(quant_intro,[status(thm)],[863])).
% 75.70/47.51 tff(865,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(866,plain,
% 75.70/47.51 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 75.70/47.51 inference(bind,[status(th)],[])).
% 75.70/47.51 tff(867,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(quant_intro,[status(thm)],[866])).
% 75.70/47.51 tff(868,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_3')).
% 75.70/47.51 tff(869,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[868, 867])).
% 75.70/47.51 tff(870,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[869, 865])).
% 75.70/47.51 tff(871,plain,(
% 75.70/47.51 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(skolemize,[status(sab)],[870])).
% 75.70/47.51 tff(872,plain,
% 75.70/47.51 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.51 inference(modus_ponens,[status(thm)],[871, 864])).
% 75.70/47.51 tff(873,plain,
% 75.70/47.51 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 75.70/47.51 inference(rewrite,[status(thm)],[])).
% 75.70/47.51 tff(874,plain,
% 75.70/47.51 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(875,plain,
% 75.70/47.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[874, 873])).
% 75.70/47.52 tff(876,plain,
% 75.70/47.52 (~v130(constB3, bitIndex2)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[875, 872, 862])).
% 75.70/47.52 tff(877,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(878,plain,
% 75.70/47.52 ((v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2))) <=> ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(879,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)))),
% 75.70/47.52 inference(monotonicity,[status(thm)],[878])).
% 75.70/47.52 tff(880,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 75.70/47.52 inference(transitivity,[status(thm)],[879, 877])).
% 75.70/47.52 tff(881,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(882,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[881, 880])).
% 75.70/47.52 tff(883,plain,
% 75.70/47.52 ((~v127(constB3, bitIndex2)) | v26(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[882, 430, 876])).
% 75.70/47.52 tff(884,plain,
% 75.70/47.52 (~v127(constB3, bitIndex2)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[883, 287])).
% 75.70/47.52 tff(885,plain,
% 75.70/47.52 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(886,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 75.70/47.52 tff(887,plain,
% 75.70/47.52 (nextState(constB3, constB4)),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[886, 885])).
% 75.70/47.52 tff(888,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(889,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(890,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[889, 888])).
% 75.70/47.52 tff(891,plain,
% 75.70/47.52 (v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[890, 451, 887])).
% 75.70/47.52 tff(892,plain,
% 75.70/47.52 (~v129(constB4, bitIndex2)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[891, 884])).
% 75.70/47.52 tff(893,assumption,(~v108(constB3)), introduced(assumption)).
% 75.70/47.52 tff(894,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(895,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(896,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[895, 894])).
% 75.70/47.52 tff(897,plain,
% 75.70/47.52 (~v112(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[896, 464, 893])).
% 75.70/47.52 tff(898,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB3) | (~v26(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(899,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB3) | (~v26(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(900,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB3) | (~v26(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[899, 898])).
% 75.70/47.52 tff(901,plain,
% 75.70/47.52 (~v26(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[900, 475, 893])).
% 75.70/47.52 tff(902,plain,
% 75.70/47.52 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v120(VarCurr))) <=> (v118(VarCurr) | (~v120(VarCurr))))),
% 75.70/47.52 inference(bind,[status(th)],[])).
% 75.70/47.52 tff(903,plain,
% 75.70/47.52 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 75.70/47.52 inference(quant_intro,[status(thm)],[902])).
% 75.70/47.52 tff(904,plain,
% 75.70/47.52 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(905,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 75.70/47.52 tff(906,plain,
% 75.70/47.52 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[905, 904])).
% 75.70/47.52 tff(907,plain,(
% 75.70/47.52 ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 75.70/47.52 inference(skolemize,[status(sab)],[906])).
% 75.70/47.52 tff(908,plain,
% 75.70/47.52 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[907, 903])).
% 75.70/47.52 tff(909,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(910,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(911,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[910, 909])).
% 75.70/47.52 tff(912,plain,
% 75.70/47.52 (v118(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[911, 908, 862])).
% 75.70/47.52 tff(913,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(914,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(915,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[914, 913])).
% 75.70/47.52 tff(916,plain,
% 75.70/47.52 (v117(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[915, 497, 912])).
% 75.70/47.52 tff(917,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(918,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(919,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[918, 917])).
% 75.70/47.52 tff(920,plain,
% 75.70/47.52 (v116(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[919, 508, 916])).
% 75.70/47.52 tff(921,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(922,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(923,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[922, 921])).
% 75.70/47.52 tff(924,plain,
% 75.70/47.52 (v115(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[923, 519, 920])).
% 75.70/47.52 tff(925,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(926,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(927,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[926, 925])).
% 75.70/47.52 tff(928,plain,
% 75.70/47.52 (v114(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[927, 530, 924])).
% 75.70/47.52 tff(929,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(930,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(931,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[930, 929])).
% 75.70/47.52 tff(932,plain,
% 75.70/47.52 (v113(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[931, 541, 928])).
% 75.70/47.52 tff(933,plain,
% 75.70/47.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(934,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(935,plain,
% 75.70/47.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[934, 933])).
% 75.70/47.52 tff(936,plain,
% 75.70/47.52 (v26(constB3) | v112(constB3)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[935, 555, 932])).
% 75.70/47.52 tff(937,plain,
% 75.70/47.52 ($false),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[936, 901, 897])).
% 75.70/47.52 tff(938,plain,(v108(constB3)), inference(lemma,lemma(discharge,[]))).
% 75.70/47.52 tff(939,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(940,plain,
% 75.70/47.52 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(941,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 75.70/47.52 inference(monotonicity,[status(thm)],[940])).
% 75.70/47.52 tff(942,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 75.70/47.52 inference(transitivity,[status(thm)],[941, 939])).
% 75.70/47.52 tff(943,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(944,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[943, 942])).
% 75.70/47.52 tff(945,plain,
% 75.70/47.52 (v110(constB4) | (~v108(constB3))),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[944, 571, 887])).
% 75.70/47.52 tff(946,plain,
% 75.70/47.52 (v110(constB4)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[945, 938])).
% 75.70/47.52 tff(947,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(948,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(949,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[948, 947])).
% 75.70/47.52 tff(950,plain,
% 75.70/47.52 (~v104(constB4)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[949, 589, 887, 666])).
% 75.70/47.52 tff(951,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(952,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 75.70/47.52 inference(quant_inst,[status(thm)],[])).
% 75.70/47.52 tff(953,plain,
% 75.70/47.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[952, 951])).
% 75.70/47.52 tff(954,plain,
% 75.70/47.52 (v102(constB4) | v104(constB4)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[953, 603, 887])).
% 75.70/47.52 tff(955,plain,
% 75.70/47.52 (v102(constB4)),
% 75.70/47.52 inference(unit_resolution,[status(thm)],[954, 950])).
% 75.70/47.52 tff(956,plain,
% 75.70/47.52 (v1(constB4) <=> v1(constB4)),
% 75.70/47.52 inference(rewrite,[status(thm)],[])).
% 75.70/47.52 tff(957,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 75.70/47.52 tff(958,plain,
% 75.70/47.52 (v1(constB4)),
% 75.70/47.52 inference(modus_ponens,[status(thm)],[957, 956])).
% 75.70/47.52 tff(959,plain,
% 75.70/47.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(960,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(961,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[960, 959])).
% 75.70/47.53 tff(962,plain,
% 75.70/47.53 (v101(constB4) | (~v102(constB4))),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[961, 621, 887, 958])).
% 75.70/47.53 tff(963,plain,
% 75.70/47.53 (v101(constB4)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[962, 955])).
% 75.70/47.53 tff(964,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(965,plain,
% 75.70/47.53 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(966,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 75.70/47.53 inference(monotonicity,[status(thm)],[965])).
% 75.70/47.53 tff(967,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 75.70/47.53 inference(transitivity,[status(thm)],[966, 964])).
% 75.70/47.53 tff(968,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(969,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[968, 967])).
% 75.70/47.53 tff(970,plain,
% 75.70/47.53 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[969, 636, 887])).
% 75.70/47.53 tff(971,plain,
% 75.70/47.53 (v100(constB4) | (~v110(constB4))),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[970, 963])).
% 75.70/47.53 tff(972,plain,
% 75.70/47.53 (v100(constB4)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[971, 946])).
% 75.70/47.53 tff(973,plain,
% 75.70/47.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(974,plain,
% 75.70/47.53 (((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(975,plain,
% 75.70/47.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))))),
% 75.70/47.53 inference(monotonicity,[status(thm)],[974])).
% 75.70/47.53 tff(976,plain,
% 75.70/47.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 75.70/47.53 inference(transitivity,[status(thm)],[975, 973])).
% 75.70/47.53 tff(977,plain,
% 75.70/47.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(978,plain,
% 75.70/47.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[977, 976])).
% 75.70/47.53 tff(979,plain,
% 75.70/47.53 ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[978, 655, 972])).
% 75.70/47.53 tff(980,plain,
% 75.70/47.53 (~v90(constB4, bitIndex2)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[979, 892])).
% 75.70/47.53 tff(981,plain,
% 75.70/47.53 ((~v1(constB5)) <=> (~v1(constB5))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(982,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 75.70/47.53 tff(983,plain,
% 75.70/47.53 (~v1(constB5)),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[982, 981])).
% 75.70/47.53 tff(984,plain,
% 75.70/47.53 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(985,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 75.70/47.53 tff(986,plain,
% 75.70/47.53 (nextState(constB4, constB5)),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[985, 984])).
% 75.70/47.53 tff(987,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(988,plain,
% 75.70/47.53 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(989,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 75.70/47.53 inference(monotonicity,[status(thm)],[988])).
% 75.70/47.53 tff(990,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 75.70/47.53 inference(transitivity,[status(thm)],[989, 987])).
% 75.70/47.53 tff(991,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(992,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[991, 990])).
% 75.70/47.53 tff(993,plain,
% 75.70/47.53 (~v101(constB5)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[992, 307, 986, 983])).
% 75.70/47.53 tff(994,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(995,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(996,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[995, 994])).
% 75.70/47.53 tff(997,plain,
% 75.70/47.53 (v101(constB5) | (~v100(constB5))),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[996, 324, 986])).
% 75.70/47.53 tff(998,plain,
% 75.70/47.53 (~v100(constB5)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[997, 993])).
% 75.70/47.53 tff(999,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(1000,plain,
% 75.70/47.53 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(1001,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))))),
% 75.70/47.53 inference(monotonicity,[status(thm)],[1000])).
% 75.70/47.53 tff(1002,plain,
% 75.70/47.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 75.70/47.53 inference(transitivity,[status(thm)],[1001, 999])).
% 75.70/47.53 tff(1003,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(1004,plain,
% 75.70/47.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 75.70/47.53 tff(1005,plain,
% 75.70/47.53 (v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[1004, 339, 986])).
% 75.70/47.53 tff(1006,plain,
% 75.70/47.53 (v90(constB4, bitIndex2) | (~v90(constB5, bitIndex2))),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[1005, 998])).
% 75.70/47.53 tff(1007,plain,
% 75.70/47.53 (~v90(constB5, bitIndex2)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[1006, 980])).
% 75.70/47.53 tff(1008,plain,
% 75.70/47.53 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 75.70/47.53 inference(bind,[status(th)],[])).
% 75.70/47.53 tff(1009,plain,
% 75.70/47.53 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(quant_intro,[status(thm)],[1008])).
% 75.70/47.53 tff(1010,plain,
% 75.70/47.53 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(1011,plain,
% 75.70/47.53 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 75.70/47.53 inference(bind,[status(th)],[])).
% 75.70/47.53 tff(1012,plain,
% 75.70/47.53 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(quant_intro,[status(thm)],[1011])).
% 75.70/47.53 tff(1013,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_2')).
% 75.70/47.53 tff(1014,plain,
% 75.70/47.53 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 75.70/47.53 tff(1015,plain,
% 75.70/47.53 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[1014, 1010])).
% 75.70/47.53 tff(1016,plain,(
% 75.70/47.53 ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(skolemize,[status(sab)],[1015])).
% 75.70/47.53 tff(1017,plain,
% 75.70/47.53 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[1016, 1009])).
% 75.70/47.53 tff(1018,plain,
% 75.70/47.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(1019,plain,
% 75.70/47.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))),
% 75.70/47.53 inference(quant_inst,[status(thm)],[])).
% 75.70/47.53 tff(1020,plain,
% 75.70/47.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1)),
% 75.70/47.53 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 75.70/47.53 tff(1021,plain,
% 75.70/47.53 (v130(constB3, bitIndex1)),
% 75.70/47.53 inference(unit_resolution,[status(thm)],[1020, 1017, 862])).
% 75.70/47.53 tff(1022,plain,
% 75.70/47.53 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 75.70/47.53 inference(bind,[status(th)],[])).
% 75.70/47.53 tff(1023,plain,
% 75.70/47.53 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.53 inference(quant_intro,[status(thm)],[1022])).
% 75.70/47.53 tff(1024,plain,
% 75.70/47.53 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.53 inference(rewrite,[status(thm)],[])).
% 75.70/47.53 tff(1025,plain,
% 75.70/47.53 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) <=> ((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1026,plain,
% 75.70/47.54 (![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1025])).
% 75.70/47.54 tff(1027,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 75.70/47.54 tff(1028,plain,
% 75.70/47.54 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 75.70/47.54 tff(1029,plain,
% 75.70/47.54 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1028, 1024])).
% 75.70/47.54 tff(1030,plain,(
% 75.70/47.54 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.54 inference(skolemize,[status(sab)],[1029])).
% 75.70/47.54 tff(1031,plain,
% 75.70/47.54 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1030, 1023])).
% 75.70/47.54 tff(1032,plain,
% 75.70/47.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1033,plain,
% 75.70/47.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 75.70/47.54 inference(quant_inst,[status(thm)],[])).
% 75.70/47.54 tff(1034,plain,
% 75.70/47.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 75.70/47.54 tff(1035,plain,
% 75.70/47.54 (v26(constB3) | v127(constB3, bitIndex1)),
% 75.70/47.54 inference(unit_resolution,[status(thm)],[1034, 1031, 1021])).
% 75.70/47.54 tff(1036,plain,
% 75.70/47.54 (v127(constB3, bitIndex1)),
% 75.70/47.54 inference(unit_resolution,[status(thm)],[1035, 287])).
% 75.70/47.54 tff(1037,plain,
% 75.70/47.54 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1038,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1037])).
% 75.70/47.54 tff(1039,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1040,plain,
% 75.70/47.54 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1041,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1040])).
% 75.70/47.54 tff(1042,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 75.70/47.54 tff(1043,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 75.70/47.54 tff(1044,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1043, 1039])).
% 75.70/47.54 tff(1045,plain,(
% 75.70/47.54 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(skolemize,[status(sab)],[1044])).
% 75.70/47.54 tff(1046,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1045, 1038])).
% 75.70/47.54 tff(1047,plain,
% 75.70/47.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1048,plain,
% 75.70/47.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 75.70/47.54 inference(quant_inst,[status(thm)],[])).
% 75.70/47.54 tff(1049,plain,
% 75.70/47.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 75.70/47.54 tff(1050,plain,
% 75.70/47.54 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 75.70/47.54 inference(unit_resolution,[status(thm)],[1049, 1046, 887])).
% 75.70/47.54 tff(1051,plain,
% 75.70/47.54 (v129(constB4, bitIndex1)),
% 75.70/47.54 inference(unit_resolution,[status(thm)],[1050, 1036])).
% 75.70/47.54 tff(1052,plain,
% 75.70/47.54 (^[VarNext: $i] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1053,plain,
% 75.70/47.54 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1052])).
% 75.70/47.54 tff(1054,plain,
% 75.70/47.54 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1055,plain,
% 75.70/47.54 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1056,plain,
% 75.70/47.54 (![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1055])).
% 75.70/47.54 tff(1057,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 75.70/47.54 tff(1058,plain,
% 75.70/47.54 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 75.70/47.54 tff(1059,plain,
% 75.70/47.54 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1058, 1054])).
% 75.70/47.54 tff(1060,plain,(
% 75.70/47.54 ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(skolemize,[status(sab)],[1059])).
% 75.70/47.54 tff(1061,plain,
% 75.70/47.54 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1060, 1053])).
% 75.70/47.54 tff(1062,plain,
% 75.70/47.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1063,plain,
% 75.70/47.54 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1064,plain,
% 75.70/47.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 75.70/47.54 inference(monotonicity,[status(thm)],[1063])).
% 75.70/47.54 tff(1065,plain,
% 75.70/47.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 75.70/47.54 inference(transitivity,[status(thm)],[1064, 1062])).
% 75.70/47.54 tff(1066,plain,
% 75.70/47.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 75.70/47.54 inference(quant_inst,[status(thm)],[])).
% 75.70/47.54 tff(1067,plain,
% 75.70/47.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 75.70/47.54 tff(1068,plain,
% 75.70/47.54 (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 75.70/47.54 inference(unit_resolution,[status(thm)],[1067, 1061, 972])).
% 75.70/47.54 tff(1069,plain,
% 75.70/47.54 (v90(constB4, bitIndex1)),
% 75.70/47.54 inference(unit_resolution,[status(thm)],[1068, 1051])).
% 75.70/47.54 tff(1070,plain,
% 75.70/47.54 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1071,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1070])).
% 75.70/47.54 tff(1072,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1073,plain,
% 75.70/47.54 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 75.70/47.54 inference(bind,[status(th)],[])).
% 75.70/47.54 tff(1074,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(quant_intro,[status(thm)],[1073])).
% 75.70/47.54 tff(1075,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 75.70/47.54 tff(1076,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 75.70/47.54 tff(1077,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1076, 1072])).
% 75.70/47.54 tff(1078,plain,(
% 75.70/47.54 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(skolemize,[status(sab)],[1077])).
% 75.70/47.54 tff(1079,plain,
% 75.70/47.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 75.70/47.54 inference(modus_ponens,[status(thm)],[1078, 1071])).
% 75.70/47.54 tff(1080,plain,
% 75.70/47.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.54 tff(1081,plain,
% 75.70/47.54 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 75.70/47.54 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1082,plain,
% 75.70/47.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 75.70/47.55 inference(monotonicity,[status(thm)],[1081])).
% 75.70/47.55 tff(1083,plain,
% 75.70/47.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 75.70/47.55 inference(transitivity,[status(thm)],[1082, 1080])).
% 75.70/47.55 tff(1084,plain,
% 75.70/47.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 75.70/47.55 inference(quant_inst,[status(thm)],[])).
% 75.70/47.55 tff(1085,plain,
% 75.70/47.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 75.70/47.55 tff(1086,plain,
% 75.70/47.55 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1085, 1079, 986])).
% 75.70/47.55 tff(1087,plain,
% 75.70/47.55 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1086, 998])).
% 75.70/47.55 tff(1088,plain,
% 75.70/47.55 (v90(constB5, bitIndex1)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1087, 1069])).
% 75.70/47.55 tff(1089,plain,
% 75.70/47.55 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1090,plain,
% 75.70/47.55 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1089])).
% 75.70/47.55 tff(1091,plain,
% 75.70/47.55 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1092,plain,
% 75.70/47.55 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1093,plain,
% 75.70/47.55 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1092])).
% 75.70/47.55 tff(1094,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_1')).
% 75.70/47.55 tff(1095,plain,
% 75.70/47.55 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 75.70/47.55 tff(1096,plain,
% 75.70/47.55 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1095, 1091])).
% 75.70/47.55 tff(1097,plain,(
% 75.70/47.55 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(skolemize,[status(sab)],[1096])).
% 75.70/47.55 tff(1098,plain,
% 75.70/47.55 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1097, 1090])).
% 75.70/47.55 tff(1099,plain,
% 75.70/47.55 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1100,plain,
% 75.70/47.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 75.70/47.55 inference(quant_inst,[status(thm)],[])).
% 75.70/47.55 tff(1101,plain,
% 75.70/47.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 75.70/47.55 tff(1102,plain,
% 75.70/47.55 (~v130(constB3, bitIndex0)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1101, 1098, 862])).
% 75.70/47.55 tff(1103,plain,
% 75.70/47.55 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1104,plain,
% 75.70/47.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1103])).
% 75.70/47.55 tff(1105,plain,
% 75.70/47.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1106,plain,
% 75.70/47.55 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1107,plain,
% 75.70/47.55 (![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1106])).
% 75.70/47.55 tff(1108,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 75.70/47.55 tff(1109,plain,
% 75.70/47.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1108, 1107])).
% 75.70/47.55 tff(1110,plain,
% 75.70/47.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1109, 1105])).
% 75.70/47.55 tff(1111,plain,(
% 75.70/47.55 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(skolemize,[status(sab)],[1110])).
% 75.70/47.55 tff(1112,plain,
% 75.70/47.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1111, 1104])).
% 75.70/47.55 tff(1113,plain,
% 75.70/47.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1114,plain,
% 75.70/47.55 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1115,plain,
% 75.70/47.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 75.70/47.55 inference(monotonicity,[status(thm)],[1114])).
% 75.70/47.55 tff(1116,plain,
% 75.70/47.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 75.70/47.55 inference(transitivity,[status(thm)],[1115, 1113])).
% 75.70/47.55 tff(1117,plain,
% 75.70/47.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 75.70/47.55 inference(quant_inst,[status(thm)],[])).
% 75.70/47.55 tff(1118,plain,
% 75.70/47.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 75.70/47.55 tff(1119,plain,
% 75.70/47.55 ((~v127(constB3, bitIndex0)) | v26(constB3)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1118, 1112, 1102])).
% 75.70/47.55 tff(1120,plain,
% 75.70/47.55 (~v127(constB3, bitIndex0)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1119, 287])).
% 75.70/47.55 tff(1121,plain,
% 75.70/47.55 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1122,plain,
% 75.70/47.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1121])).
% 75.70/47.55 tff(1123,plain,
% 75.70/47.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1124,plain,
% 75.70/47.55 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1125,plain,
% 75.70/47.55 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1124])).
% 75.70/47.55 tff(1126,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 75.70/47.55 tff(1127,plain,
% 75.70/47.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 75.70/47.55 tff(1128,plain,
% 75.70/47.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1127, 1123])).
% 75.70/47.55 tff(1129,plain,(
% 75.70/47.55 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(skolemize,[status(sab)],[1128])).
% 75.70/47.55 tff(1130,plain,
% 75.70/47.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1129, 1122])).
% 75.70/47.55 tff(1131,plain,
% 75.70/47.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1132,plain,
% 75.70/47.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 75.70/47.55 inference(quant_inst,[status(thm)],[])).
% 75.70/47.55 tff(1133,plain,
% 75.70/47.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 75.70/47.55 tff(1134,plain,
% 75.70/47.55 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1133, 1130, 887])).
% 75.70/47.55 tff(1135,plain,
% 75.70/47.55 (~v129(constB4, bitIndex0)),
% 75.70/47.55 inference(unit_resolution,[status(thm)],[1134, 1120])).
% 75.70/47.55 tff(1136,plain,
% 75.70/47.55 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1137,plain,
% 75.70/47.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1136])).
% 75.70/47.55 tff(1138,plain,
% 75.70/47.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.55 inference(rewrite,[status(thm)],[])).
% 75.70/47.55 tff(1139,plain,
% 75.70/47.55 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> ((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))))),
% 75.70/47.55 inference(bind,[status(th)],[])).
% 75.70/47.55 tff(1140,plain,
% 75.70/47.55 (![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.55 inference(quant_intro,[status(thm)],[1139])).
% 75.70/47.55 tff(1141,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 75.70/47.55 tff(1142,plain,
% 75.70/47.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 75.70/47.55 tff(1143,plain,
% 75.70/47.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.55 inference(modus_ponens,[status(thm)],[1142, 1138])).
% 75.70/47.55 tff(1144,plain,(
% 75.70/47.55 ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.55 inference(skolemize,[status(sab)],[1143])).
% 75.70/47.55 tff(1145,plain,
% 75.70/47.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1144, 1137])).
% 75.70/47.56 tff(1146,plain,
% 75.70/47.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1147,plain,
% 75.70/47.56 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1148,plain,
% 75.70/47.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 75.70/47.56 inference(monotonicity,[status(thm)],[1147])).
% 75.70/47.56 tff(1149,plain,
% 75.70/47.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 75.70/47.56 inference(transitivity,[status(thm)],[1148, 1146])).
% 75.70/47.56 tff(1150,plain,
% 75.70/47.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1151,plain,
% 75.70/47.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 75.70/47.56 tff(1152,plain,
% 75.70/47.56 ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1151, 1145, 972])).
% 75.70/47.56 tff(1153,plain,
% 75.70/47.56 (~v90(constB4, bitIndex0)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1152, 1135])).
% 75.70/47.56 tff(1154,plain,
% 75.70/47.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1155,plain,
% 75.70/47.56 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1156,plain,
% 75.70/47.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 75.70/47.56 inference(monotonicity,[status(thm)],[1155])).
% 75.70/47.56 tff(1157,plain,
% 75.70/47.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 75.70/47.56 inference(transitivity,[status(thm)],[1156, 1154])).
% 75.70/47.56 tff(1158,plain,
% 75.70/47.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1159,plain,
% 75.70/47.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 75.70/47.56 tff(1160,plain,
% 75.70/47.56 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1159, 381, 986])).
% 75.70/47.56 tff(1161,plain,
% 75.70/47.56 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1160, 998])).
% 75.70/47.56 tff(1162,plain,
% 75.70/47.56 (~v90(constB5, bitIndex0)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1161, 1153])).
% 75.70/47.56 tff(1163,plain,
% 75.70/47.56 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 75.70/47.56 inference(bind,[status(th)],[])).
% 75.70/47.56 tff(1164,plain,
% 75.70/47.56 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(quant_intro,[status(thm)],[1163])).
% 75.70/47.56 tff(1165,plain,
% 75.70/47.56 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1166,plain,
% 75.70/47.56 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 75.70/47.56 inference(bind,[status(th)],[])).
% 75.70/47.56 tff(1167,plain,
% 75.70/47.56 (![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(quant_intro,[status(thm)],[1166])).
% 75.70/47.56 tff(1168,axiom,(![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 75.70/47.56 tff(1169,plain,
% 75.70/47.56 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 75.70/47.56 tff(1170,plain,
% 75.70/47.56 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1169, 1165])).
% 75.70/47.56 tff(1171,plain,(
% 75.70/47.56 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(skolemize,[status(sab)],[1170])).
% 75.70/47.56 tff(1172,plain,
% 75.70/47.56 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1171, 1164])).
% 75.70/47.56 tff(1173,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1174,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1175,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5)),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 75.70/47.56 tff(1176,plain,
% 75.70/47.56 (v121(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1175, 1172, 1162, 1088, 1007])).
% 75.70/47.56 tff(1177,plain,
% 75.70/47.56 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v121(VarCurr))) <=> (v117(VarCurr) | (~v121(VarCurr))))),
% 75.70/47.56 inference(bind,[status(th)],[])).
% 75.70/47.56 tff(1178,plain,
% 75.70/47.56 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 75.70/47.56 inference(quant_intro,[status(thm)],[1177])).
% 75.70/47.56 tff(1179,plain,
% 75.70/47.56 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1180,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 75.70/47.56 tff(1181,plain,
% 75.70/47.56 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1180, 1179])).
% 75.70/47.56 tff(1182,plain,(
% 75.70/47.56 ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 75.70/47.56 inference(skolemize,[status(sab)],[1181])).
% 75.70/47.56 tff(1183,plain,
% 75.70/47.56 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1182, 1178])).
% 75.70/47.56 tff(1184,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1185,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1186,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 75.70/47.56 tff(1187,plain,
% 75.70/47.56 (v117(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1186, 1183, 1176])).
% 75.70/47.56 tff(1188,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1189,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1190,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 75.70/47.56 tff(1191,plain,
% 75.70/47.56 (v116(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1190, 508, 1187])).
% 75.70/47.56 tff(1192,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1193,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1194,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 75.70/47.56 tff(1195,plain,
% 75.70/47.56 (v115(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1194, 519, 1191])).
% 75.70/47.56 tff(1196,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1197,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1198,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 75.70/47.56 tff(1199,plain,
% 75.70/47.56 (v114(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1198, 530, 1195])).
% 75.70/47.56 tff(1200,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1201,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1202,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 75.70/47.56 tff(1203,plain,
% 75.70/47.56 (v113(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1202, 541, 1199])).
% 75.70/47.56 tff(1204,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1205,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1206,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5)),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 75.70/47.56 tff(1207,plain,
% 75.70/47.56 (v26(constB5) | v112(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1206, 555, 1203])).
% 75.70/47.56 tff(1208,plain,
% 75.70/47.56 (v112(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1207, 283])).
% 75.70/47.56 tff(1209,plain,
% 75.70/47.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5)))),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1210,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))),
% 75.70/47.56 inference(quant_inst,[status(thm)],[])).
% 75.70/47.56 tff(1211,plain,
% 75.70/47.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5))),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 75.70/47.56 tff(1212,plain,
% 75.70/47.56 (v108(constB5)),
% 75.70/47.56 inference(unit_resolution,[status(thm)],[1211, 464, 1208])).
% 75.70/47.56 tff(1213,plain,
% 75.70/47.56 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 75.70/47.56 inference(rewrite,[status(thm)],[])).
% 75.70/47.56 tff(1214,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 75.70/47.56 tff(1215,plain,
% 75.70/47.56 (nextState(constB5, constB6)),
% 75.70/47.56 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 75.70/47.56 tff(1216,plain,
% 75.70/47.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1217,plain,
% 75.70/47.57 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1218,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 75.70/47.57 inference(monotonicity,[status(thm)],[1217])).
% 75.70/47.57 tff(1219,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 75.70/47.57 inference(transitivity,[status(thm)],[1218, 1216])).
% 75.70/47.57 tff(1220,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1221,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 75.70/47.57 tff(1222,plain,
% 75.70/47.57 (v110(constB6) | (~v108(constB5))),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1221, 571, 1215])).
% 75.70/47.57 tff(1223,plain,
% 75.70/47.57 (v110(constB6)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1222, 1212])).
% 75.70/47.57 tff(1224,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1225,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1226,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 75.70/47.57 tff(1227,plain,
% 75.70/47.57 (~v104(constB6)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1226, 589, 1215, 983])).
% 75.70/47.57 tff(1228,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1229,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1230,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 75.70/47.57 tff(1231,plain,
% 75.70/47.57 (v102(constB6) | v104(constB6)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1230, 603, 1215])).
% 75.70/47.57 tff(1232,plain,
% 75.70/47.57 (v102(constB6)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1231, 1227])).
% 75.70/47.57 tff(1233,plain,
% 75.70/47.57 (v1(constB6) <=> v1(constB6)),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1234,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 75.70/47.57 tff(1235,plain,
% 75.70/47.57 (v1(constB6)),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 75.70/47.57 tff(1236,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1237,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1238,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 75.70/47.57 tff(1239,plain,
% 75.70/47.57 (v101(constB6) | (~v102(constB6))),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1238, 621, 1215, 1235])).
% 75.70/47.57 tff(1240,plain,
% 75.70/47.57 (v101(constB6)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1239, 1232])).
% 75.70/47.57 tff(1241,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1242,plain,
% 75.70/47.57 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1243,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 75.70/47.57 inference(monotonicity,[status(thm)],[1242])).
% 75.70/47.57 tff(1244,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 75.70/47.57 inference(transitivity,[status(thm)],[1243, 1241])).
% 75.70/47.57 tff(1245,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1246,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 75.70/47.57 tff(1247,plain,
% 75.70/47.57 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1246, 636, 1215])).
% 75.70/47.57 tff(1248,plain,
% 75.70/47.57 (v100(constB6) | (~v110(constB6))),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1247, 1240])).
% 75.70/47.57 tff(1249,plain,
% 75.70/47.57 (v100(constB6)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1248, 1223])).
% 75.70/47.57 tff(1250,plain,
% 75.70/47.57 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 75.70/47.57 inference(bind,[status(th)],[])).
% 75.70/47.57 tff(1251,plain,
% 75.70/47.57 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(quant_intro,[status(thm)],[1250])).
% 75.70/47.57 tff(1252,plain,
% 75.70/47.57 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1253,plain,
% 75.70/47.57 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 75.70/47.57 inference(bind,[status(th)],[])).
% 75.70/47.57 tff(1254,plain,
% 75.70/47.57 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(quant_intro,[status(thm)],[1253])).
% 75.70/47.57 tff(1255,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_3')).
% 75.70/47.57 tff(1256,plain,
% 75.70/47.57 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 75.70/47.57 tff(1257,plain,
% 75.70/47.57 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1256, 1252])).
% 75.70/47.57 tff(1258,plain,(
% 75.70/47.57 ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(skolemize,[status(sab)],[1257])).
% 75.70/47.57 tff(1259,plain,
% 75.70/47.57 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1258, 1251])).
% 75.70/47.57 tff(1260,plain,
% 75.70/47.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1261,plain,
% 75.70/47.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1262,plain,
% 75.70/47.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 75.70/47.57 tff(1263,plain,
% 75.70/47.57 (~v130(constB5, bitIndex2)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1262, 1259, 1176])).
% 75.70/47.57 tff(1264,plain,
% 75.70/47.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1265,plain,
% 75.70/47.57 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1266,plain,
% 75.70/47.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 75.70/47.57 inference(monotonicity,[status(thm)],[1265])).
% 75.70/47.57 tff(1267,plain,
% 75.70/47.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 75.70/47.57 inference(transitivity,[status(thm)],[1266, 1264])).
% 75.70/47.57 tff(1268,plain,
% 75.70/47.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1269,plain,
% 75.70/47.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 75.70/47.57 tff(1270,plain,
% 75.70/47.57 ((~v127(constB5, bitIndex2)) | v26(constB5)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1269, 430, 1263])).
% 75.70/47.57 tff(1271,plain,
% 75.70/47.57 (~v127(constB5, bitIndex2)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1270, 283])).
% 75.70/47.57 tff(1272,plain,
% 75.70/47.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1273,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1274,plain,
% 75.70/47.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 75.70/47.57 tff(1275,plain,
% 75.70/47.57 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1274, 451, 1215])).
% 75.70/47.57 tff(1276,plain,
% 75.70/47.57 (~v129(constB6, bitIndex2)),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1275, 1271])).
% 75.70/47.57 tff(1277,plain,
% 75.70/47.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1278,plain,
% 75.70/47.57 (((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2)) <=> ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 75.70/47.57 inference(rewrite,[status(thm)],[])).
% 75.70/47.57 tff(1279,plain,
% 75.70/47.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))))),
% 75.70/47.57 inference(monotonicity,[status(thm)],[1278])).
% 75.70/47.57 tff(1280,plain,
% 75.70/47.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 75.70/47.57 inference(transitivity,[status(thm)],[1279, 1277])).
% 75.70/47.57 tff(1281,plain,
% 75.70/47.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))),
% 75.70/47.57 inference(quant_inst,[status(thm)],[])).
% 75.70/47.57 tff(1282,plain,
% 75.70/47.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 75.70/47.57 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 75.70/47.57 tff(1283,plain,
% 75.70/47.57 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 75.70/47.57 inference(unit_resolution,[status(thm)],[1282, 655, 1276])).
% 75.70/47.57 tff(1284,plain,
% 75.70/47.58 (~v90(constB6, bitIndex2)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1283, 1249])).
% 75.70/47.58 tff(1285,plain,
% 75.70/47.58 ((~v1(constB7)) <=> (~v1(constB7))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1286,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 75.70/47.58 tff(1287,plain,
% 75.70/47.58 (~v1(constB7)),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1286, 1285])).
% 75.70/47.58 tff(1288,plain,
% 75.70/47.58 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1289,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 75.70/47.58 tff(1290,plain,
% 75.70/47.58 (nextState(constB6, constB7)),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 75.70/47.58 tff(1291,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1292,plain,
% 75.70/47.58 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1293,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 75.70/47.58 inference(monotonicity,[status(thm)],[1292])).
% 75.70/47.58 tff(1294,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 75.70/47.58 inference(transitivity,[status(thm)],[1293, 1291])).
% 75.70/47.58 tff(1295,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 75.70/47.58 inference(quant_inst,[status(thm)],[])).
% 75.70/47.58 tff(1296,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 75.70/47.58 tff(1297,plain,
% 75.70/47.58 (~v101(constB7)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1296, 307, 1290, 1287])).
% 75.70/47.58 tff(1298,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1299,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 75.70/47.58 inference(quant_inst,[status(thm)],[])).
% 75.70/47.58 tff(1300,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 75.70/47.58 tff(1301,plain,
% 75.70/47.58 (v101(constB7) | (~v100(constB7))),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1300, 324, 1290])).
% 75.70/47.58 tff(1302,plain,
% 75.70/47.58 (~v100(constB7)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1301, 1297])).
% 75.70/47.58 tff(1303,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1304,plain,
% 75.70/47.58 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1305,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 75.70/47.58 inference(monotonicity,[status(thm)],[1304])).
% 75.70/47.58 tff(1306,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 75.70/47.58 inference(transitivity,[status(thm)],[1305, 1303])).
% 75.70/47.58 tff(1307,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 75.70/47.58 inference(quant_inst,[status(thm)],[])).
% 75.70/47.58 tff(1308,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1307, 1306])).
% 75.70/47.58 tff(1309,plain,
% 75.70/47.58 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1308, 339, 1290])).
% 75.70/47.58 tff(1310,plain,
% 75.70/47.58 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1309, 1302])).
% 75.70/47.58 tff(1311,plain,
% 75.70/47.58 (~v90(constB7, bitIndex2)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1310, 1284])).
% 75.70/47.58 tff(1312,plain,
% 75.70/47.58 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 75.70/47.58 inference(bind,[status(th)],[])).
% 75.70/47.58 tff(1313,plain,
% 75.70/47.58 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(quant_intro,[status(thm)],[1312])).
% 75.70/47.58 tff(1314,plain,
% 75.70/47.58 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1315,plain,
% 75.70/47.58 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 75.70/47.58 inference(bind,[status(th)],[])).
% 75.70/47.58 tff(1316,plain,
% 75.70/47.58 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(quant_intro,[status(thm)],[1315])).
% 75.70/47.58 tff(1317,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_2')).
% 75.70/47.58 tff(1318,plain,
% 75.70/47.58 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 75.70/47.58 tff(1319,plain,
% 75.70/47.58 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1318, 1314])).
% 75.70/47.58 tff(1320,plain,(
% 75.70/47.58 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(skolemize,[status(sab)],[1319])).
% 75.70/47.58 tff(1321,plain,
% 75.70/47.58 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1320, 1313])).
% 75.70/47.58 tff(1322,plain,
% 75.70/47.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1323,plain,
% 75.70/47.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))),
% 75.70/47.58 inference(quant_inst,[status(thm)],[])).
% 75.70/47.58 tff(1324,plain,
% 75.70/47.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1)),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 75.70/47.58 tff(1325,plain,
% 75.70/47.58 (v130(constB5, bitIndex1)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1324, 1321, 1176])).
% 75.70/47.58 tff(1326,plain,
% 75.70/47.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1327,plain,
% 75.70/47.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 75.70/47.58 inference(quant_inst,[status(thm)],[])).
% 75.70/47.58 tff(1328,plain,
% 75.70/47.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 75.70/47.58 tff(1329,plain,
% 75.70/47.58 (v26(constB5) | v127(constB5, bitIndex1)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1328, 1031, 1325])).
% 75.70/47.58 tff(1330,plain,
% 75.70/47.58 (v127(constB5, bitIndex1)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1329, 283])).
% 75.70/47.58 tff(1331,plain,
% 75.70/47.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.58 tff(1332,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 75.70/47.58 inference(quant_inst,[status(thm)],[])).
% 75.70/47.58 tff(1333,plain,
% 75.70/47.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 75.70/47.58 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 75.70/47.58 tff(1334,plain,
% 75.70/47.58 ((~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1333, 1046, 1215])).
% 75.70/47.58 tff(1335,plain,
% 75.70/47.58 (v129(constB6, bitIndex1)),
% 75.70/47.58 inference(unit_resolution,[status(thm)],[1334, 1330])).
% 75.70/47.58 tff(1336,plain,
% 75.70/47.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 75.70/47.58 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1337,plain,
% 75.70/47.59 ((v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 75.70/47.59 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1338,plain,
% 75.70/47.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))))),
% 75.70/47.59 inference(monotonicity,[status(thm)],[1337])).
% 75.70/47.59 tff(1339,plain,
% 75.70/47.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 75.70/47.59 inference(transitivity,[status(thm)],[1338, 1336])).
% 75.70/47.59 tff(1340,plain,
% 75.70/47.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))),
% 75.70/47.59 inference(quant_inst,[status(thm)],[])).
% 75.70/47.59 tff(1341,plain,
% 75.70/47.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 75.70/47.59 tff(1342,plain,
% 75.70/47.59 (v90(constB6, bitIndex1) | (~v100(constB6))),
% 75.70/47.59 inference(unit_resolution,[status(thm)],[1341, 1061, 1335])).
% 75.70/47.59 tff(1343,plain,
% 75.70/47.59 (v90(constB6, bitIndex1)),
% 75.70/47.59 inference(unit_resolution,[status(thm)],[1342, 1249])).
% 75.70/47.59 tff(1344,plain,
% 75.70/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 75.70/47.59 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1345,plain,
% 75.70/47.59 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 75.70/47.59 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1346,plain,
% 75.70/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)))),
% 75.70/47.59 inference(monotonicity,[status(thm)],[1345])).
% 75.70/47.59 tff(1347,plain,
% 75.70/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 75.70/47.59 inference(transitivity,[status(thm)],[1346, 1344])).
% 75.70/47.59 tff(1348,plain,
% 75.70/47.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))),
% 75.70/47.59 inference(quant_inst,[status(thm)],[])).
% 75.70/47.59 tff(1349,plain,
% 75.70/47.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 75.70/47.59 tff(1350,plain,
% 75.70/47.59 ((~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)),
% 75.70/47.59 inference(unit_resolution,[status(thm)],[1349, 1079, 1290])).
% 75.70/47.59 tff(1351,plain,
% 75.70/47.59 ((~v90(constB6, bitIndex1)) | v90(constB7, bitIndex1)),
% 75.70/47.59 inference(unit_resolution,[status(thm)],[1350, 1302])).
% 75.70/47.59 tff(1352,plain,
% 75.70/47.59 (v90(constB7, bitIndex1)),
% 75.70/47.59 inference(unit_resolution,[status(thm)],[1351, 1343])).
% 75.70/47.59 tff(1353,plain,
% 75.70/47.59 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 75.70/47.59 inference(bind,[status(th)],[])).
% 75.70/47.59 tff(1354,plain,
% 75.70/47.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(quant_intro,[status(thm)],[1353])).
% 75.70/47.59 tff(1355,plain,
% 75.70/47.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1356,plain,
% 75.70/47.59 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 75.70/47.59 inference(bind,[status(th)],[])).
% 75.70/47.59 tff(1357,plain,
% 75.70/47.59 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(quant_intro,[status(thm)],[1356])).
% 75.70/47.59 tff(1358,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_1')).
% 75.70/47.59 tff(1359,plain,
% 75.70/47.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 75.70/47.59 tff(1360,plain,
% 75.70/47.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1359, 1355])).
% 75.70/47.59 tff(1361,plain,(
% 75.70/47.59 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(skolemize,[status(sab)],[1360])).
% 75.70/47.59 tff(1362,plain,
% 75.70/47.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1361, 1354])).
% 75.70/47.59 tff(1363,plain,
% 75.70/47.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0))),
% 75.70/47.59 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1364,plain,
% 75.70/47.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))),
% 75.70/47.59 inference(quant_inst,[status(thm)],[])).
% 75.70/47.59 tff(1365,plain,
% 75.70/47.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0)),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 75.70/47.59 tff(1366,plain,
% 75.70/47.59 (v130(constB5, bitIndex0)),
% 75.70/47.59 inference(unit_resolution,[status(thm)],[1365, 1362, 1176])).
% 75.70/47.59 tff(1367,plain,
% 75.70/47.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 75.70/47.59 inference(rewrite,[status(thm)],[])).
% 75.70/47.59 tff(1368,plain,
% 75.70/47.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 75.70/47.59 inference(quant_inst,[status(thm)],[])).
% 75.70/47.59 tff(1369,plain,
% 75.70/47.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 75.70/47.59 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 75.79/47.59 tff(1370,plain,
% 75.79/47.59 (v26(constB5) | v127(constB5, bitIndex0)),
% 75.79/47.59 inference(unit_resolution,[status(thm)],[1369, 788, 1366])).
% 75.79/47.59 tff(1371,plain,
% 75.79/47.59 (v127(constB5, bitIndex0)),
% 75.79/47.59 inference(unit_resolution,[status(thm)],[1370, 283])).
% 75.79/47.59 tff(1372,plain,
% 75.79/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 75.79/47.59 inference(rewrite,[status(thm)],[])).
% 75.79/47.59 tff(1373,plain,
% 75.79/47.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 75.79/47.59 inference(quant_inst,[status(thm)],[])).
% 75.79/47.59 tff(1374,plain,
% 75.79/47.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 75.79/47.59 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 75.79/47.59 tff(1375,plain,
% 75.79/47.59 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 75.79/47.59 inference(unit_resolution,[status(thm)],[1374, 803, 1215])).
% 75.79/47.59 tff(1376,plain,
% 75.79/47.59 (v129(constB6, bitIndex0)),
% 75.79/47.59 inference(unit_resolution,[status(thm)],[1375, 1371])).
% 75.79/47.59 tff(1377,plain,
% 75.79/47.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 75.79/47.59 inference(rewrite,[status(thm)],[])).
% 75.79/47.59 tff(1378,plain,
% 75.79/47.59 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 75.79/47.59 inference(rewrite,[status(thm)],[])).
% 75.79/47.59 tff(1379,plain,
% 75.79/47.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 75.79/47.59 inference(monotonicity,[status(thm)],[1378])).
% 75.79/47.59 tff(1380,plain,
% 75.79/47.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 75.79/47.59 inference(transitivity,[status(thm)],[1379, 1377])).
% 75.79/47.59 tff(1381,plain,
% 75.79/47.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 75.79/47.59 inference(quant_inst,[status(thm)],[])).
% 75.79/47.59 tff(1382,plain,
% 75.79/47.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 75.79/47.59 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 75.79/47.59 tff(1383,plain,
% 75.79/47.59 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 75.79/47.59 inference(unit_resolution,[status(thm)],[1382, 818, 1376])).
% 75.79/47.59 tff(1384,plain,
% 75.79/47.59 (v90(constB6, bitIndex0)),
% 75.79/47.59 inference(unit_resolution,[status(thm)],[1383, 1249])).
% 75.79/47.59 tff(1385,plain,
% 75.79/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 75.80/47.59 inference(rewrite,[status(thm)],[])).
% 75.80/47.59 tff(1386,plain,
% 75.80/47.59 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 75.80/47.59 inference(rewrite,[status(thm)],[])).
% 75.80/47.59 tff(1387,plain,
% 75.80/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 75.80/47.59 inference(monotonicity,[status(thm)],[1386])).
% 75.80/47.59 tff(1388,plain,
% 75.80/47.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 75.80/47.59 inference(transitivity,[status(thm)],[1387, 1385])).
% 75.80/47.59 tff(1389,plain,
% 75.80/47.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 75.80/47.59 inference(quant_inst,[status(thm)],[])).
% 75.80/47.59 tff(1390,plain,
% 75.80/47.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 75.80/47.59 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 75.80/47.59 tff(1391,plain,
% 75.80/47.59 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 75.80/47.59 inference(unit_resolution,[status(thm)],[1390, 836, 1290])).
% 75.80/47.59 tff(1392,plain,
% 75.80/47.59 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 75.80/47.59 inference(unit_resolution,[status(thm)],[1391, 1302])).
% 75.80/47.59 tff(1393,plain,
% 75.80/47.59 (v90(constB7, bitIndex0)),
% 75.80/47.59 inference(unit_resolution,[status(thm)],[1392, 1384])).
% 75.80/47.59 tff(1394,plain,
% 75.80/47.59 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 75.80/47.59 inference(bind,[status(th)],[])).
% 75.80/47.59 tff(1395,plain,
% 75.80/47.59 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.59 inference(quant_intro,[status(thm)],[1394])).
% 75.80/47.59 tff(1396,plain,
% 75.80/47.59 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.59 inference(rewrite,[status(thm)],[])).
% 75.80/47.59 tff(1397,plain,
% 75.80/47.59 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1398,plain,
% 75.80/47.60 (![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1397])).
% 75.80/47.60 tff(1399,axiom,(![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 75.80/47.60 tff(1400,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 75.80/47.60 tff(1401,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1400, 1396])).
% 75.80/47.60 tff(1402,plain,(
% 75.80/47.60 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.60 inference(skolemize,[status(sab)],[1401])).
% 75.80/47.60 tff(1403,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1402, 1395])).
% 75.80/47.60 tff(1404,plain,
% 75.80/47.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1405,plain,
% 75.80/47.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 75.80/47.60 inference(quant_inst,[status(thm)],[])).
% 75.80/47.60 tff(1406,plain,
% 75.80/47.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7)),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 75.80/47.60 tff(1407,plain,
% 75.80/47.60 (v122(constB7)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1406, 1403, 1393, 1352, 1311])).
% 75.80/47.60 tff(1408,plain,
% 75.80/47.60 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1409,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1408])).
% 75.80/47.60 tff(1410,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1411,plain,
% 75.80/47.60 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1412,plain,
% 75.80/47.60 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1411])).
% 75.80/47.60 tff(1413,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 75.80/47.60 tff(1414,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1413, 1412])).
% 75.80/47.60 tff(1415,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1414, 1410])).
% 75.80/47.60 tff(1416,plain,(
% 75.80/47.60 ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(skolemize,[status(sab)],[1415])).
% 75.80/47.60 tff(1417,plain,
% 75.80/47.60 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1416, 1409])).
% 75.80/47.60 tff(1418,plain,
% 75.80/47.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1419,plain,
% 75.80/47.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))),
% 75.80/47.60 inference(quant_inst,[status(thm)],[])).
% 75.80/47.60 tff(1420,plain,
% 75.80/47.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2)),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 75.80/47.60 tff(1421,plain,
% 75.80/47.60 (v130(constB7, bitIndex2)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1420, 1417, 1407])).
% 75.80/47.60 tff(1422,plain,
% 75.80/47.60 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1423,plain,
% 75.80/47.60 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1422])).
% 75.80/47.60 tff(1424,plain,
% 75.80/47.60 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1425,plain,
% 75.80/47.60 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) <=> ((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1426,plain,
% 75.80/47.60 (![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1425])).
% 75.80/47.60 tff(1427,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 75.80/47.60 tff(1428,plain,
% 75.80/47.60 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1427, 1426])).
% 75.80/47.60 tff(1429,plain,
% 75.80/47.60 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1428, 1424])).
% 75.80/47.60 tff(1430,plain,(
% 75.80/47.60 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(skolemize,[status(sab)],[1429])).
% 75.80/47.60 tff(1431,plain,
% 75.80/47.60 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1430, 1423])).
% 75.80/47.60 tff(1432,plain,
% 75.80/47.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1433,plain,
% 75.80/47.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 75.80/47.60 inference(quant_inst,[status(thm)],[])).
% 75.80/47.60 tff(1434,plain,
% 75.80/47.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 75.80/47.60 tff(1435,plain,
% 75.80/47.60 (v26(constB7) | v127(constB7, bitIndex2)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1434, 1431, 1421])).
% 75.80/47.60 tff(1436,plain,
% 75.80/47.60 (v127(constB7, bitIndex2)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1435, 279])).
% 75.80/47.60 tff(1437,plain,
% 75.80/47.60 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1438,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 75.80/47.60 tff(1439,plain,
% 75.80/47.60 (nextState(constB7, constB8)),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1438, 1437])).
% 75.80/47.60 tff(1440,plain,
% 75.80/47.60 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1441,plain,
% 75.80/47.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1440])).
% 75.80/47.60 tff(1442,plain,
% 75.80/47.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1443,plain,
% 75.80/47.60 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1444,plain,
% 75.80/47.60 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1443])).
% 75.80/47.60 tff(1445,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 75.80/47.60 tff(1446,plain,
% 75.80/47.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 75.80/47.60 tff(1447,plain,
% 75.80/47.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1446, 1442])).
% 75.80/47.60 tff(1448,plain,(
% 75.80/47.60 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(skolemize,[status(sab)],[1447])).
% 75.80/47.60 tff(1449,plain,
% 75.80/47.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1448, 1441])).
% 75.80/47.60 tff(1450,plain,
% 75.80/47.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1451,plain,
% 75.80/47.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 75.80/47.60 inference(quant_inst,[status(thm)],[])).
% 75.80/47.60 tff(1452,plain,
% 75.80/47.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 75.80/47.60 tff(1453,plain,
% 75.80/47.60 ((~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1452, 1449, 1439])).
% 75.80/47.60 tff(1454,plain,
% 75.80/47.60 (v129(constB8, bitIndex2)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1453, 1436])).
% 75.80/47.60 tff(1455,assumption,(~v108(constB7)), introduced(assumption)).
% 75.80/47.60 tff(1456,plain,
% 75.80/47.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7)))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1457,plain,
% 75.80/47.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))),
% 75.80/47.60 inference(quant_inst,[status(thm)],[])).
% 75.80/47.60 tff(1458,plain,
% 75.80/47.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 75.80/47.60 tff(1459,plain,
% 75.80/47.60 (~v112(constB7)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1458, 464, 1455])).
% 75.80/47.60 tff(1460,plain,
% 75.80/47.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB7) | (~v26(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB7) | (~v26(constB7)))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1461,plain,
% 75.80/47.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB7) | (~v26(constB7)))),
% 75.80/47.60 inference(quant_inst,[status(thm)],[])).
% 75.80/47.60 tff(1462,plain,
% 75.80/47.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB7) | (~v26(constB7))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 75.80/47.60 tff(1463,plain,
% 75.80/47.60 (~v26(constB7)),
% 75.80/47.60 inference(unit_resolution,[status(thm)],[1462, 475, 1455])).
% 75.80/47.60 tff(1464,plain,
% 75.80/47.60 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v122(VarCurr))) <=> (v116(VarCurr) | (~v122(VarCurr))))),
% 75.80/47.60 inference(bind,[status(th)],[])).
% 75.80/47.60 tff(1465,plain,
% 75.80/47.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 75.80/47.60 inference(quant_intro,[status(thm)],[1464])).
% 75.80/47.60 tff(1466,plain,
% 75.80/47.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 75.80/47.60 inference(rewrite,[status(thm)],[])).
% 75.80/47.60 tff(1467,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 75.80/47.60 tff(1468,plain,
% 75.80/47.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 75.80/47.60 tff(1469,plain,(
% 75.80/47.60 ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 75.80/47.60 inference(skolemize,[status(sab)],[1468])).
% 75.80/47.60 tff(1470,plain,
% 75.80/47.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 75.80/47.60 inference(modus_ponens,[status(thm)],[1469, 1465])).
% 75.80/47.61 tff(1471,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1472,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1473,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 75.80/47.61 tff(1474,plain,
% 75.80/47.61 (v116(constB7)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1473, 1470, 1407])).
% 75.80/47.61 tff(1475,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1476,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1477,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 75.80/47.61 tff(1478,plain,
% 75.80/47.61 (v115(constB7)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1477, 519, 1474])).
% 75.80/47.61 tff(1479,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1480,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1481,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 75.80/47.61 tff(1482,plain,
% 75.80/47.61 (v114(constB7)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1481, 530, 1478])).
% 75.80/47.61 tff(1483,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1484,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1485,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 75.80/47.61 tff(1486,plain,
% 75.80/47.61 (v113(constB7)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1485, 541, 1482])).
% 75.80/47.61 tff(1487,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1488,plain,
% 75.80/47.61 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1489,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 75.80/47.61 inference(monotonicity,[status(thm)],[1488])).
% 75.80/47.61 tff(1490,plain,
% 75.80/47.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 75.80/47.61 inference(transitivity,[status(thm)],[1489, 1487])).
% 75.80/47.61 tff(1491,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1492,plain,
% 75.80/47.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 75.80/47.61 tff(1493,plain,
% 75.80/47.61 (v26(constB7) | v112(constB7)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1492, 555, 1486])).
% 75.80/47.61 tff(1494,plain,
% 75.80/47.61 ($false),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1493, 1463, 1459])).
% 75.80/47.61 tff(1495,plain,(v108(constB7)), inference(lemma,lemma(discharge,[]))).
% 75.80/47.61 tff(1496,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1497,plain,
% 75.80/47.61 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1498,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 75.80/47.61 inference(monotonicity,[status(thm)],[1497])).
% 75.80/47.61 tff(1499,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 75.80/47.61 inference(transitivity,[status(thm)],[1498, 1496])).
% 75.80/47.61 tff(1500,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1501,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 75.80/47.61 tff(1502,plain,
% 75.80/47.61 (v110(constB8) | (~v108(constB7))),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1501, 571, 1439])).
% 75.80/47.61 tff(1503,plain,
% 75.80/47.61 (v110(constB8)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1502, 1495])).
% 75.80/47.61 tff(1504,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1505,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1506,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 75.80/47.61 tff(1507,plain,
% 75.80/47.61 (~v104(constB8)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1506, 589, 1439, 1287])).
% 75.80/47.61 tff(1508,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1509,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1510,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 75.80/47.61 tff(1511,plain,
% 75.80/47.61 (v102(constB8) | v104(constB8)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1510, 603, 1439])).
% 75.80/47.61 tff(1512,plain,
% 75.80/47.61 (v102(constB8)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1511, 1507])).
% 75.80/47.61 tff(1513,plain,
% 75.80/47.61 (v1(constB8) <=> v1(constB8)),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1514,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 75.80/47.61 tff(1515,plain,
% 75.80/47.61 (v1(constB8)),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1514, 1513])).
% 75.80/47.61 tff(1516,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1517,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1518,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 75.80/47.61 tff(1519,plain,
% 75.80/47.61 (v101(constB8) | (~v102(constB8))),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1518, 621, 1439, 1515])).
% 75.80/47.61 tff(1520,plain,
% 75.80/47.61 (v101(constB8)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1519, 1512])).
% 75.80/47.61 tff(1521,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1522,plain,
% 75.80/47.61 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1523,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 75.80/47.61 inference(monotonicity,[status(thm)],[1522])).
% 75.80/47.61 tff(1524,plain,
% 75.80/47.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 75.80/47.61 inference(transitivity,[status(thm)],[1523, 1521])).
% 75.80/47.61 tff(1525,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 75.80/47.61 inference(quant_inst,[status(thm)],[])).
% 75.80/47.61 tff(1526,plain,
% 75.80/47.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 75.80/47.61 tff(1527,plain,
% 75.80/47.61 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1526, 636, 1439])).
% 75.80/47.61 tff(1528,plain,
% 75.80/47.61 (v100(constB8) | (~v110(constB8))),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1527, 1520])).
% 75.80/47.61 tff(1529,plain,
% 75.80/47.61 (v100(constB8)),
% 75.80/47.61 inference(unit_resolution,[status(thm)],[1528, 1503])).
% 75.80/47.61 tff(1530,plain,
% 75.80/47.61 (^[VarNext: $i] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 75.80/47.61 inference(bind,[status(th)],[])).
% 75.80/47.61 tff(1531,plain,
% 75.80/47.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(quant_intro,[status(thm)],[1530])).
% 75.80/47.61 tff(1532,plain,
% 75.80/47.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1533,plain,
% 75.80/47.61 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))))),
% 75.80/47.61 inference(bind,[status(th)],[])).
% 75.80/47.61 tff(1534,plain,
% 75.80/47.61 (![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(quant_intro,[status(thm)],[1533])).
% 75.80/47.61 tff(1535,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 75.80/47.61 tff(1536,plain,
% 75.80/47.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 75.80/47.61 tff(1537,plain,
% 75.80/47.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1536, 1532])).
% 75.80/47.61 tff(1538,plain,(
% 75.80/47.61 ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(skolemize,[status(sab)],[1537])).
% 75.80/47.61 tff(1539,plain,
% 75.80/47.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 75.80/47.61 inference(modus_ponens,[status(thm)],[1538, 1531])).
% 75.80/47.61 tff(1540,plain,
% 75.80/47.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1541,plain,
% 75.80/47.61 ((v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 75.80/47.61 inference(rewrite,[status(thm)],[])).
% 75.80/47.61 tff(1542,plain,
% 75.80/47.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))))),
% 75.80/47.62 inference(monotonicity,[status(thm)],[1541])).
% 75.80/47.62 tff(1543,plain,
% 75.80/47.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 75.80/47.62 inference(transitivity,[status(thm)],[1542, 1540])).
% 75.80/47.62 tff(1544,plain,
% 75.80/47.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))),
% 75.80/47.62 inference(quant_inst,[status(thm)],[])).
% 75.80/47.62 tff(1545,plain,
% 75.80/47.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 75.80/47.62 tff(1546,plain,
% 75.80/47.62 (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2))),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1545, 1539, 1529])).
% 75.80/47.62 tff(1547,plain,
% 75.80/47.62 (v90(constB8, bitIndex2)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1546, 1454])).
% 75.80/47.62 tff(1548,plain,
% 75.80/47.62 ((~v1(constB9)) <=> (~v1(constB9))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1549,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 75.80/47.62 tff(1550,plain,
% 75.80/47.62 (~v1(constB9)),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 75.80/47.62 tff(1551,plain,
% 75.80/47.62 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1552,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 75.80/47.62 tff(1553,plain,
% 75.80/47.62 (nextState(constB8, constB9)),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 75.80/47.62 tff(1554,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1555,plain,
% 75.80/47.62 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1556,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 75.80/47.62 inference(monotonicity,[status(thm)],[1555])).
% 75.80/47.62 tff(1557,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 75.80/47.62 inference(transitivity,[status(thm)],[1556, 1554])).
% 75.80/47.62 tff(1558,plain,
% 75.80/47.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 75.80/47.62 inference(quant_inst,[status(thm)],[])).
% 75.80/47.62 tff(1559,plain,
% 75.80/47.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 75.80/47.62 tff(1560,plain,
% 75.80/47.62 (~v101(constB9)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1559, 307, 1553, 1550])).
% 75.80/47.62 tff(1561,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1562,plain,
% 75.80/47.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 75.80/47.62 inference(quant_inst,[status(thm)],[])).
% 75.80/47.62 tff(1563,plain,
% 75.80/47.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 75.80/47.62 tff(1564,plain,
% 75.80/47.62 (v101(constB9) | (~v100(constB9))),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1563, 324, 1553])).
% 75.80/47.62 tff(1565,plain,
% 75.80/47.62 (~v100(constB9)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1564, 1560])).
% 75.80/47.62 tff(1566,plain,
% 75.80/47.62 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 75.80/47.62 inference(bind,[status(th)],[])).
% 75.80/47.62 tff(1567,plain,
% 75.80/47.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(quant_intro,[status(thm)],[1566])).
% 75.80/47.62 tff(1568,plain,
% 75.80/47.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1569,plain,
% 75.80/47.62 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 75.80/47.62 inference(bind,[status(th)],[])).
% 75.80/47.62 tff(1570,plain,
% 75.80/47.62 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(quant_intro,[status(thm)],[1569])).
% 75.80/47.62 tff(1571,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 75.80/47.62 tff(1572,plain,
% 75.80/47.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 75.80/47.62 tff(1573,plain,
% 75.80/47.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1572, 1568])).
% 75.80/47.62 tff(1574,plain,(
% 75.80/47.62 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(skolemize,[status(sab)],[1573])).
% 75.80/47.62 tff(1575,plain,
% 75.80/47.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1574, 1567])).
% 75.80/47.62 tff(1576,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1577,plain,
% 75.80/47.62 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1578,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)))),
% 75.80/47.62 inference(monotonicity,[status(thm)],[1577])).
% 75.80/47.62 tff(1579,plain,
% 75.80/47.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 75.80/47.62 inference(transitivity,[status(thm)],[1578, 1576])).
% 75.80/47.62 tff(1580,plain,
% 75.80/47.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))),
% 75.80/47.62 inference(quant_inst,[status(thm)],[])).
% 75.80/47.62 tff(1581,plain,
% 75.80/47.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 75.80/47.62 tff(1582,plain,
% 75.80/47.62 ((~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1581, 1575, 1553])).
% 75.80/47.62 tff(1583,plain,
% 75.80/47.62 ((~v90(constB8, bitIndex2)) | v90(constB9, bitIndex2)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1582, 1565])).
% 75.80/47.62 tff(1584,plain,
% 75.80/47.62 (v90(constB9, bitIndex2)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1583, 1547])).
% 75.80/47.62 tff(1585,plain,
% 75.80/47.62 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 75.80/47.62 inference(bind,[status(th)],[])).
% 75.80/47.62 tff(1586,plain,
% 75.80/47.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(quant_intro,[status(thm)],[1585])).
% 75.80/47.62 tff(1587,plain,
% 75.80/47.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1588,plain,
% 75.80/47.62 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 75.80/47.62 inference(bind,[status(th)],[])).
% 75.80/47.62 tff(1589,plain,
% 75.80/47.62 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(quant_intro,[status(thm)],[1588])).
% 75.80/47.62 tff(1590,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 75.80/47.62 tff(1591,plain,
% 75.80/47.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 75.80/47.62 tff(1592,plain,
% 75.80/47.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1591, 1587])).
% 75.80/47.62 tff(1593,plain,(
% 75.80/47.62 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(skolemize,[status(sab)],[1592])).
% 75.80/47.62 tff(1594,plain,
% 75.80/47.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1593, 1586])).
% 75.80/47.62 tff(1595,plain,
% 75.80/47.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1596,plain,
% 75.80/47.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 75.80/47.62 inference(quant_inst,[status(thm)],[])).
% 75.80/47.62 tff(1597,plain,
% 75.80/47.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1))),
% 75.80/47.62 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 75.80/47.62 tff(1598,plain,
% 75.80/47.62 (~v130(constB7, bitIndex1)),
% 75.80/47.62 inference(unit_resolution,[status(thm)],[1597, 1594, 1407])).
% 75.80/47.62 tff(1599,plain,
% 75.80/47.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1600,plain,
% 75.80/47.62 ((v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1))) <=> ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 75.80/47.62 inference(rewrite,[status(thm)],[])).
% 75.80/47.62 tff(1601,plain,
% 75.80/47.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)))),
% 75.80/47.62 inference(monotonicity,[status(thm)],[1600])).
% 75.80/47.62 tff(1602,plain,
% 75.80/47.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 75.80/47.62 inference(transitivity,[status(thm)],[1601, 1599])).
% 75.80/47.62 tff(1603,plain,
% 75.80/47.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))),
% 75.80/47.63 inference(quant_inst,[status(thm)],[])).
% 75.80/47.63 tff(1604,plain,
% 75.80/47.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 75.80/47.63 tff(1605,plain,
% 75.80/47.63 ((~v127(constB7, bitIndex1)) | v26(constB7)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1604, 714, 1598])).
% 75.80/47.63 tff(1606,plain,
% 75.80/47.63 (~v127(constB7, bitIndex1)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1605, 279])).
% 75.80/47.63 tff(1607,plain,
% 75.80/47.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1608,plain,
% 75.80/47.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 75.80/47.63 inference(quant_inst,[status(thm)],[])).
% 75.80/47.63 tff(1609,plain,
% 75.80/47.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 75.80/47.63 tff(1610,plain,
% 75.80/47.63 (v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1609, 732, 1439])).
% 75.80/47.63 tff(1611,plain,
% 75.80/47.63 (~v129(constB8, bitIndex1)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1610, 1606])).
% 75.80/47.63 tff(1612,plain,
% 75.80/47.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1613,plain,
% 75.80/47.63 (((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1614,plain,
% 75.80/47.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))))),
% 75.80/47.63 inference(monotonicity,[status(thm)],[1613])).
% 75.80/47.63 tff(1615,plain,
% 75.80/47.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 75.80/47.63 inference(transitivity,[status(thm)],[1614, 1612])).
% 75.80/47.63 tff(1616,plain,
% 75.80/47.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))),
% 75.80/47.63 inference(quant_inst,[status(thm)],[])).
% 75.80/47.63 tff(1617,plain,
% 75.80/47.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1616, 1615])).
% 75.80/47.63 tff(1618,plain,
% 75.80/47.63 ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1617, 747, 1529])).
% 75.80/47.63 tff(1619,plain,
% 75.80/47.63 (~v90(constB8, bitIndex1)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1618, 1611])).
% 75.80/47.63 tff(1620,plain,
% 75.80/47.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1621,plain,
% 75.80/47.63 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1622,plain,
% 75.80/47.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))))),
% 75.80/47.63 inference(monotonicity,[status(thm)],[1621])).
% 75.80/47.63 tff(1623,plain,
% 75.80/47.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 75.80/47.63 inference(transitivity,[status(thm)],[1622, 1620])).
% 75.80/47.63 tff(1624,plain,
% 75.80/47.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 75.80/47.63 inference(quant_inst,[status(thm)],[])).
% 75.80/47.63 tff(1625,plain,
% 75.80/47.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1624, 1623])).
% 75.80/47.63 tff(1626,plain,
% 75.80/47.63 (v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1625, 360, 1553])).
% 75.80/47.63 tff(1627,plain,
% 75.80/47.63 (v90(constB8, bitIndex1) | (~v90(constB9, bitIndex1))),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1626, 1565])).
% 75.80/47.63 tff(1628,plain,
% 75.80/47.63 (~v90(constB9, bitIndex1)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1627, 1619])).
% 75.80/47.63 tff(1629,plain,
% 75.80/47.63 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 75.80/47.63 inference(bind,[status(th)],[])).
% 75.80/47.63 tff(1630,plain,
% 75.80/47.63 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(quant_intro,[status(thm)],[1629])).
% 75.80/47.63 tff(1631,plain,
% 75.80/47.63 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1632,plain,
% 75.80/47.63 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 75.80/47.63 inference(bind,[status(th)],[])).
% 75.80/47.63 tff(1633,plain,
% 75.80/47.63 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(quant_intro,[status(thm)],[1632])).
% 75.80/47.63 tff(1634,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 75.80/47.63 tff(1635,plain,
% 75.80/47.63 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 75.80/47.63 tff(1636,plain,
% 75.80/47.63 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1635, 1631])).
% 75.80/47.63 tff(1637,plain,(
% 75.80/47.63 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(skolemize,[status(sab)],[1636])).
% 75.80/47.63 tff(1638,plain,
% 75.80/47.63 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1637, 1630])).
% 75.80/47.63 tff(1639,plain,
% 75.80/47.63 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1640,plain,
% 75.80/47.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 75.80/47.63 inference(quant_inst,[status(thm)],[])).
% 75.80/47.63 tff(1641,plain,
% 75.80/47.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0))),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 75.80/47.63 tff(1642,plain,
% 75.80/47.63 (~v130(constB7, bitIndex0)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1641, 1638, 1407])).
% 75.80/47.63 tff(1643,plain,
% 75.80/47.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1644,plain,
% 75.80/47.63 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 75.80/47.63 inference(rewrite,[status(thm)],[])).
% 75.80/47.63 tff(1645,plain,
% 75.80/47.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 75.80/47.63 inference(monotonicity,[status(thm)],[1644])).
% 75.80/47.63 tff(1646,plain,
% 75.80/47.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 75.80/47.63 inference(transitivity,[status(thm)],[1645, 1643])).
% 75.80/47.63 tff(1647,plain,
% 75.80/47.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 75.80/47.63 inference(quant_inst,[status(thm)],[])).
% 75.80/47.63 tff(1648,plain,
% 75.80/47.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 75.80/47.63 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 75.80/47.63 tff(1649,plain,
% 75.80/47.63 ((~v127(constB7, bitIndex0)) | v26(constB7)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1648, 1112, 1642])).
% 75.80/47.63 tff(1650,plain,
% 75.80/47.63 (~v127(constB7, bitIndex0)),
% 75.80/47.63 inference(unit_resolution,[status(thm)],[1649, 279])).
% 75.80/47.63 tff(1651,plain,
% 75.80/47.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1652,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1653,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 75.80/47.64 tff(1654,plain,
% 75.80/47.64 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1653, 1130, 1439])).
% 75.80/47.64 tff(1655,plain,
% 75.80/47.64 (~v129(constB8, bitIndex0)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1654, 1650])).
% 75.80/47.64 tff(1656,plain,
% 75.80/47.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1657,plain,
% 75.80/47.64 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1658,plain,
% 75.80/47.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 75.80/47.64 inference(monotonicity,[status(thm)],[1657])).
% 75.80/47.64 tff(1659,plain,
% 75.80/47.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 75.80/47.64 inference(transitivity,[status(thm)],[1658, 1656])).
% 75.80/47.64 tff(1660,plain,
% 75.80/47.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1661,plain,
% 75.80/47.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 75.80/47.64 tff(1662,plain,
% 75.80/47.64 ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1661, 1145, 1529])).
% 75.80/47.64 tff(1663,plain,
% 75.80/47.64 (~v90(constB8, bitIndex0)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1662, 1655])).
% 75.80/47.64 tff(1664,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1665,plain,
% 75.80/47.64 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1666,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 75.80/47.64 inference(monotonicity,[status(thm)],[1665])).
% 75.80/47.64 tff(1667,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 75.80/47.64 inference(transitivity,[status(thm)],[1666, 1664])).
% 75.80/47.64 tff(1668,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1669,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 75.80/47.64 tff(1670,plain,
% 75.80/47.64 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1669, 381, 1553])).
% 75.80/47.64 tff(1671,plain,
% 75.80/47.64 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1670, 1565])).
% 75.80/47.64 tff(1672,plain,
% 75.80/47.64 (~v90(constB9, bitIndex0)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1671, 1663])).
% 75.80/47.64 tff(1673,plain,
% 75.80/47.64 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 75.80/47.64 inference(bind,[status(th)],[])).
% 75.80/47.64 tff(1674,plain,
% 75.80/47.64 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(quant_intro,[status(thm)],[1673])).
% 75.80/47.64 tff(1675,plain,
% 75.80/47.64 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1676,plain,
% 75.80/47.64 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) <=> (v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 75.80/47.64 inference(bind,[status(th)],[])).
% 75.80/47.64 tff(1677,plain,
% 75.80/47.64 (![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(quant_intro,[status(thm)],[1676])).
% 75.80/47.64 tff(1678,axiom,(![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 75.80/47.64 tff(1679,plain,
% 75.80/47.64 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1678, 1677])).
% 75.80/47.64 tff(1680,plain,
% 75.80/47.64 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1679, 1675])).
% 75.80/47.64 tff(1681,plain,(
% 75.80/47.64 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(skolemize,[status(sab)],[1680])).
% 75.80/47.64 tff(1682,plain,
% 75.80/47.64 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1681, 1674])).
% 75.80/47.64 tff(1683,plain,
% 75.80/47.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1684,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1685,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9)),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 75.80/47.64 tff(1686,plain,
% 75.80/47.64 (v123(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1685, 1682, 1672, 1628, 1584])).
% 75.80/47.64 tff(1687,plain,
% 75.80/47.64 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v123(VarCurr))) <=> (v115(VarCurr) | (~v123(VarCurr))))),
% 75.80/47.64 inference(bind,[status(th)],[])).
% 75.80/47.64 tff(1688,plain,
% 75.80/47.64 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 75.80/47.64 inference(quant_intro,[status(thm)],[1687])).
% 75.80/47.64 tff(1689,plain,
% 75.80/47.64 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1690,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 75.80/47.64 tff(1691,plain,
% 75.80/47.64 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 75.80/47.64 tff(1692,plain,(
% 75.80/47.64 ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 75.80/47.64 inference(skolemize,[status(sab)],[1691])).
% 75.80/47.64 tff(1693,plain,
% 75.80/47.64 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1692, 1688])).
% 75.80/47.64 tff(1694,plain,
% 75.80/47.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1695,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1696,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 75.80/47.64 tff(1697,plain,
% 75.80/47.64 (v115(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1696, 1693, 1686])).
% 75.80/47.64 tff(1698,plain,
% 75.80/47.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1699,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1700,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 75.80/47.64 tff(1701,plain,
% 75.80/47.64 (v114(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1700, 530, 1697])).
% 75.80/47.64 tff(1702,plain,
% 75.80/47.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1703,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1704,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 75.80/47.64 tff(1705,plain,
% 75.80/47.64 (v113(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1704, 541, 1701])).
% 75.80/47.64 tff(1706,assumption,(v26(constB9)), introduced(assumption)).
% 75.80/47.64 tff(1707,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1708,plain,
% 75.80/47.64 ($false),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1707, 14, 1706])).
% 75.80/47.64 tff(1709,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 75.80/47.64 tff(1710,plain,
% 75.80/47.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1711,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1712,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 75.80/47.64 tff(1713,plain,
% 75.80/47.64 ((~v113(constB9)) | v112(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1712, 555, 1709])).
% 75.80/47.64 tff(1714,plain,
% 75.80/47.64 (v112(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1713, 1705])).
% 75.80/47.64 tff(1715,plain,
% 75.80/47.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1716,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1717,plain,
% 75.80/47.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 75.80/47.64 tff(1718,plain,
% 75.80/47.64 (v108(constB9)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1717, 464, 1714])).
% 75.80/47.64 tff(1719,plain,
% 75.80/47.64 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1720,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 75.80/47.64 tff(1721,plain,
% 75.80/47.64 (nextState(constB9, constB10)),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 75.80/47.64 tff(1722,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1723,plain,
% 75.80/47.64 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1724,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 75.80/47.64 inference(monotonicity,[status(thm)],[1723])).
% 75.80/47.64 tff(1725,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 75.80/47.64 inference(transitivity,[status(thm)],[1724, 1722])).
% 75.80/47.64 tff(1726,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1727,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 75.80/47.64 tff(1728,plain,
% 75.80/47.64 (v110(constB10) | (~v108(constB9))),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1727, 571, 1721])).
% 75.80/47.64 tff(1729,plain,
% 75.80/47.64 (v110(constB10)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1728, 1718])).
% 75.80/47.64 tff(1730,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1731,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1732,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 75.80/47.64 tff(1733,plain,
% 75.80/47.64 (~v104(constB10)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1732, 589, 1721, 1550])).
% 75.80/47.64 tff(1734,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1735,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 75.80/47.64 inference(quant_inst,[status(thm)],[])).
% 75.80/47.64 tff(1736,plain,
% 75.80/47.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 75.80/47.64 tff(1737,plain,
% 75.80/47.64 (v102(constB10) | v104(constB10)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1736, 603, 1721])).
% 75.80/47.64 tff(1738,plain,
% 75.80/47.64 (v102(constB10)),
% 75.80/47.64 inference(unit_resolution,[status(thm)],[1737, 1733])).
% 75.80/47.64 tff(1739,plain,
% 75.80/47.64 (v1(constB10) <=> v1(constB10)),
% 75.80/47.64 inference(rewrite,[status(thm)],[])).
% 75.80/47.64 tff(1740,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 75.80/47.64 tff(1741,plain,
% 75.80/47.64 (v1(constB10)),
% 75.80/47.64 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 75.80/47.64 tff(1742,plain,
% 75.80/47.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1743,plain,
% 75.80/47.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 75.80/47.65 inference(quant_inst,[status(thm)],[])).
% 75.80/47.65 tff(1744,plain,
% 75.80/47.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 75.80/47.65 tff(1745,plain,
% 75.80/47.65 (v101(constB10) | (~v102(constB10))),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1744, 621, 1721, 1741])).
% 75.80/47.65 tff(1746,plain,
% 75.80/47.65 (v101(constB10)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1745, 1738])).
% 75.80/47.65 tff(1747,plain,
% 75.80/47.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1748,plain,
% 75.80/47.65 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1749,plain,
% 75.80/47.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 75.80/47.65 inference(monotonicity,[status(thm)],[1748])).
% 75.80/47.65 tff(1750,plain,
% 75.80/47.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 75.80/47.65 inference(transitivity,[status(thm)],[1749, 1747])).
% 75.80/47.65 tff(1751,plain,
% 75.80/47.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 75.80/47.65 inference(quant_inst,[status(thm)],[])).
% 75.80/47.65 tff(1752,plain,
% 75.80/47.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 75.80/47.65 tff(1753,plain,
% 75.80/47.65 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1752, 636, 1721])).
% 75.80/47.65 tff(1754,plain,
% 75.80/47.65 (v100(constB10) | (~v110(constB10))),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1753, 1746])).
% 75.80/47.65 tff(1755,plain,
% 75.80/47.65 (v100(constB10)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1754, 1729])).
% 75.80/47.65 tff(1756,plain,
% 75.80/47.65 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 75.80/47.65 inference(bind,[status(th)],[])).
% 75.80/47.65 tff(1757,plain,
% 75.80/47.65 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(quant_intro,[status(thm)],[1756])).
% 75.80/47.65 tff(1758,plain,
% 75.80/47.65 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1759,plain,
% 75.80/47.65 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 75.80/47.65 inference(bind,[status(th)],[])).
% 75.80/47.65 tff(1760,plain,
% 75.80/47.65 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(quant_intro,[status(thm)],[1759])).
% 75.80/47.65 tff(1761,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 75.80/47.65 tff(1762,plain,
% 75.80/47.65 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 75.80/47.65 tff(1763,plain,
% 75.80/47.65 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1762, 1758])).
% 75.80/47.65 tff(1764,plain,(
% 75.80/47.65 ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(skolemize,[status(sab)],[1763])).
% 75.80/47.65 tff(1765,plain,
% 75.80/47.65 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1764, 1757])).
% 75.80/47.65 tff(1766,plain,
% 75.80/47.65 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1767,plain,
% 75.80/47.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 75.80/47.65 inference(quant_inst,[status(thm)],[])).
% 75.80/47.65 tff(1768,plain,
% 75.80/47.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 75.80/47.65 tff(1769,plain,
% 75.80/47.65 (~v130(constB9, bitIndex1)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1768, 1765, 1686])).
% 75.80/47.65 tff(1770,plain,
% 75.80/47.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1771,plain,
% 75.80/47.65 ((v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1))) <=> ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1772,plain,
% 75.80/47.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)))),
% 75.80/47.65 inference(monotonicity,[status(thm)],[1771])).
% 75.80/47.65 tff(1773,plain,
% 75.80/47.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 75.80/47.65 inference(transitivity,[status(thm)],[1772, 1770])).
% 75.80/47.65 tff(1774,plain,
% 75.80/47.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))),
% 75.80/47.65 inference(quant_inst,[status(thm)],[])).
% 75.80/47.65 tff(1775,plain,
% 75.80/47.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1774, 1773])).
% 75.80/47.65 tff(1776,plain,
% 75.80/47.65 ((~v127(constB9, bitIndex1)) | v130(constB9, bitIndex1)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1775, 714, 1709])).
% 75.80/47.65 tff(1777,plain,
% 75.80/47.65 (~v127(constB9, bitIndex1)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1776, 1769])).
% 75.80/47.65 tff(1778,plain,
% 75.80/47.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1779,plain,
% 75.80/47.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 75.80/47.65 inference(quant_inst,[status(thm)],[])).
% 75.80/47.65 tff(1780,plain,
% 75.80/47.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1779, 1778])).
% 75.80/47.65 tff(1781,plain,
% 75.80/47.65 (v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1780, 732, 1721])).
% 75.80/47.65 tff(1782,plain,
% 75.80/47.65 (~v129(constB10, bitIndex1)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1781, 1777])).
% 75.80/47.65 tff(1783,plain,
% 75.80/47.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1784,plain,
% 75.80/47.65 (((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 75.80/47.65 inference(rewrite,[status(thm)],[])).
% 75.80/47.65 tff(1785,plain,
% 75.80/47.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))))),
% 75.80/47.65 inference(monotonicity,[status(thm)],[1784])).
% 75.80/47.65 tff(1786,plain,
% 75.80/47.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 75.80/47.65 inference(transitivity,[status(thm)],[1785, 1783])).
% 75.80/47.65 tff(1787,plain,
% 75.80/47.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))),
% 75.80/47.65 inference(quant_inst,[status(thm)],[])).
% 75.80/47.65 tff(1788,plain,
% 75.80/47.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))),
% 75.80/47.65 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 75.80/47.65 tff(1789,plain,
% 75.80/47.65 ((~v90(constB10, bitIndex1)) | (~v100(constB10))),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1788, 747, 1782])).
% 75.80/47.65 tff(1790,plain,
% 75.80/47.65 (~v90(constB10, bitIndex1)),
% 75.80/47.65 inference(unit_resolution,[status(thm)],[1789, 1755])).
% 75.80/47.66 tff(1791,plain,
% 75.80/47.66 ((~v1(constB11)) <=> (~v1(constB11))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1792,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 75.80/47.66 tff(1793,plain,
% 75.80/47.66 (~v1(constB11)),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 75.80/47.66 tff(1794,plain,
% 75.80/47.66 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1795,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 75.80/47.66 tff(1796,plain,
% 75.80/47.66 (nextState(constB10, constB11)),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 75.80/47.66 tff(1797,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1798,plain,
% 75.80/47.66 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1799,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 75.80/47.66 inference(monotonicity,[status(thm)],[1798])).
% 75.80/47.66 tff(1800,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 75.80/47.66 inference(transitivity,[status(thm)],[1799, 1797])).
% 75.80/47.66 tff(1801,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1802,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 75.80/47.66 tff(1803,plain,
% 75.80/47.66 (~v101(constB11)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1802, 307, 1796, 1793])).
% 75.80/47.66 tff(1804,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1805,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1806,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 75.80/47.66 tff(1807,plain,
% 75.80/47.66 (v101(constB11) | (~v100(constB11))),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1806, 324, 1796])).
% 75.80/47.66 tff(1808,plain,
% 75.80/47.66 (~v100(constB11)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1807, 1803])).
% 75.80/47.66 tff(1809,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1810,plain,
% 75.80/47.66 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1811,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))))),
% 75.80/47.66 inference(monotonicity,[status(thm)],[1810])).
% 75.80/47.66 tff(1812,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 75.80/47.66 inference(transitivity,[status(thm)],[1811, 1809])).
% 75.80/47.66 tff(1813,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1814,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 75.80/47.66 tff(1815,plain,
% 75.80/47.66 (v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1814, 360, 1796])).
% 75.80/47.66 tff(1816,plain,
% 75.80/47.66 (v90(constB10, bitIndex1) | (~v90(constB11, bitIndex1))),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1815, 1808])).
% 75.80/47.66 tff(1817,plain,
% 75.80/47.66 (~v90(constB11, bitIndex1)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1816, 1790])).
% 75.80/47.66 tff(1818,assumption,(~v124(constB11)), introduced(assumption)).
% 75.80/47.66 tff(1819,assumption,(v123(constB9)), introduced(assumption)).
% 75.80/47.66 tff(1820,plain,
% 75.80/47.66 (v115(constB9)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1696, 1693, 1819])).
% 75.80/47.66 tff(1821,plain,
% 75.80/47.66 (v114(constB9)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1700, 530, 1820])).
% 75.80/47.66 tff(1822,plain,
% 75.80/47.66 (v113(constB9)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1704, 541, 1821])).
% 75.80/47.66 tff(1823,plain,
% 75.80/47.66 (v112(constB9)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1713, 1822])).
% 75.80/47.66 tff(1824,plain,
% 75.80/47.66 (v108(constB9)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1717, 464, 1823])).
% 75.80/47.66 tff(1825,plain,
% 75.80/47.66 (v110(constB10)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1728, 1824])).
% 75.80/47.66 tff(1826,plain,
% 75.80/47.66 (v100(constB10)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1754, 1825])).
% 75.80/47.66 tff(1827,plain,
% 75.80/47.66 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 75.80/47.66 inference(bind,[status(th)],[])).
% 75.80/47.66 tff(1828,plain,
% 75.80/47.66 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(quant_intro,[status(thm)],[1827])).
% 75.80/47.66 tff(1829,plain,
% 75.80/47.66 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1830,plain,
% 75.80/47.66 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 75.80/47.66 inference(bind,[status(th)],[])).
% 75.80/47.66 tff(1831,plain,
% 75.80/47.66 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(quant_intro,[status(thm)],[1830])).
% 75.80/47.66 tff(1832,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 75.80/47.66 tff(1833,plain,
% 75.80/47.66 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 75.80/47.66 tff(1834,plain,
% 75.80/47.66 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1833, 1829])).
% 75.80/47.66 tff(1835,plain,(
% 75.80/47.66 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(skolemize,[status(sab)],[1834])).
% 75.80/47.66 tff(1836,plain,
% 75.80/47.66 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1835, 1828])).
% 75.80/47.66 tff(1837,plain,
% 75.80/47.66 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1838,plain,
% 75.80/47.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1839,plain,
% 75.80/47.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0)),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 75.80/47.66 tff(1840,plain,
% 75.80/47.66 (v130(constB9, bitIndex0)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1839, 1836, 1819])).
% 75.80/47.66 tff(1841,plain,
% 75.80/47.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1842,plain,
% 75.80/47.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1843,plain,
% 75.80/47.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 75.80/47.66 tff(1844,plain,
% 75.80/47.66 ((~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1843, 788, 1709])).
% 75.80/47.66 tff(1845,plain,
% 75.80/47.66 (v127(constB9, bitIndex0)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1844, 1840])).
% 75.80/47.66 tff(1846,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1847,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1848,plain,
% 75.80/47.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 75.80/47.66 tff(1849,plain,
% 75.80/47.66 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1848, 803, 1721])).
% 75.80/47.66 tff(1850,plain,
% 75.80/47.66 (v129(constB10, bitIndex0)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1849, 1845])).
% 75.80/47.66 tff(1851,plain,
% 75.80/47.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1852,plain,
% 75.80/47.66 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1853,plain,
% 75.80/47.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 75.80/47.66 inference(monotonicity,[status(thm)],[1852])).
% 75.80/47.66 tff(1854,plain,
% 75.80/47.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 75.80/47.66 inference(transitivity,[status(thm)],[1853, 1851])).
% 75.80/47.66 tff(1855,plain,
% 75.80/47.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 75.80/47.66 inference(quant_inst,[status(thm)],[])).
% 75.80/47.66 tff(1856,plain,
% 75.80/47.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 75.80/47.66 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 75.80/47.66 tff(1857,plain,
% 75.80/47.66 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1856, 818, 1850])).
% 75.80/47.66 tff(1858,plain,
% 75.80/47.66 (v90(constB10, bitIndex0)),
% 75.80/47.66 inference(unit_resolution,[status(thm)],[1857, 1826])).
% 75.80/47.66 tff(1859,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1860,plain,
% 75.80/47.66 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 75.80/47.66 inference(rewrite,[status(thm)],[])).
% 75.80/47.66 tff(1861,plain,
% 75.80/47.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 75.80/47.67 inference(monotonicity,[status(thm)],[1860])).
% 75.80/47.67 tff(1862,plain,
% 75.80/47.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 75.80/47.67 inference(transitivity,[status(thm)],[1861, 1859])).
% 75.80/47.67 tff(1863,plain,
% 75.80/47.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1864,plain,
% 75.80/47.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 75.80/47.67 tff(1865,plain,
% 75.80/47.67 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1864, 836, 1796])).
% 75.80/47.67 tff(1866,plain,
% 75.80/47.67 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1865, 1808])).
% 75.80/47.67 tff(1867,plain,
% 75.80/47.67 (v90(constB11, bitIndex0)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1866, 1858])).
% 75.80/47.67 tff(1868,plain,
% 75.80/47.67 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 75.80/47.67 inference(bind,[status(th)],[])).
% 75.80/47.67 tff(1869,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(quant_intro,[status(thm)],[1868])).
% 75.80/47.67 tff(1870,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1871,plain,
% 75.80/47.67 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 75.80/47.67 inference(bind,[status(th)],[])).
% 75.80/47.67 tff(1872,plain,
% 75.80/47.67 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(quant_intro,[status(thm)],[1871])).
% 75.80/47.67 tff(1873,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 75.80/47.67 tff(1874,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 75.80/47.67 tff(1875,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1874, 1870])).
% 75.80/47.67 tff(1876,plain,(
% 75.80/47.67 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(skolemize,[status(sab)],[1875])).
% 75.80/47.67 tff(1877,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1876, 1869])).
% 75.80/47.67 tff(1878,plain,
% 75.80/47.67 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1879,plain,
% 75.80/47.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1880,plain,
% 75.80/47.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2)),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 75.80/47.67 tff(1881,plain,
% 75.80/47.67 (v130(constB9, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1880, 1877, 1819])).
% 75.80/47.67 tff(1882,plain,
% 75.80/47.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1883,plain,
% 75.80/47.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1884,plain,
% 75.80/47.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 75.80/47.67 tff(1885,plain,
% 75.80/47.67 ((~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1884, 1431, 1709])).
% 75.80/47.67 tff(1886,plain,
% 75.80/47.67 (v127(constB9, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1885, 1881])).
% 75.80/47.67 tff(1887,plain,
% 75.80/47.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1888,plain,
% 75.80/47.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1889,plain,
% 75.80/47.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 75.80/47.67 tff(1890,plain,
% 75.80/47.67 ((~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1889, 1449, 1721])).
% 75.80/47.67 tff(1891,plain,
% 75.80/47.67 (v129(constB10, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1890, 1886])).
% 75.80/47.67 tff(1892,plain,
% 75.80/47.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1893,plain,
% 75.80/47.67 ((v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1894,plain,
% 75.80/47.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))))),
% 75.80/47.67 inference(monotonicity,[status(thm)],[1893])).
% 75.80/47.67 tff(1895,plain,
% 75.80/47.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 75.80/47.67 inference(transitivity,[status(thm)],[1894, 1892])).
% 75.80/47.67 tff(1896,plain,
% 75.80/47.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1897,plain,
% 75.80/47.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 75.80/47.67 tff(1898,plain,
% 75.80/47.67 (v90(constB10, bitIndex2) | (~v100(constB10))),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1897, 1539, 1891])).
% 75.80/47.67 tff(1899,plain,
% 75.80/47.67 (v90(constB10, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1898, 1826])).
% 75.80/47.67 tff(1900,plain,
% 75.80/47.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1901,plain,
% 75.80/47.67 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1902,plain,
% 75.80/47.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)))),
% 75.80/47.67 inference(monotonicity,[status(thm)],[1901])).
% 75.80/47.67 tff(1903,plain,
% 75.80/47.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 75.80/47.67 inference(transitivity,[status(thm)],[1902, 1900])).
% 75.80/47.67 tff(1904,plain,
% 75.80/47.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1905,plain,
% 75.80/47.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 75.80/47.67 tff(1906,plain,
% 75.80/47.67 ((~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1905, 1575, 1796])).
% 75.80/47.67 tff(1907,plain,
% 75.80/47.67 ((~v90(constB10, bitIndex2)) | v90(constB11, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1906, 1808])).
% 75.80/47.67 tff(1908,plain,
% 75.80/47.67 (v90(constB11, bitIndex2)),
% 75.80/47.67 inference(unit_resolution,[status(thm)],[1907, 1899])).
% 75.80/47.67 tff(1909,assumption,(~v90(constB11, bitIndex1)), introduced(assumption)).
% 75.80/47.67 tff(1910,plain,
% 75.80/47.67 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 75.80/47.67 inference(bind,[status(th)],[])).
% 75.80/47.67 tff(1911,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(quant_intro,[status(thm)],[1910])).
% 75.80/47.67 tff(1912,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1913,plain,
% 75.80/47.67 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 75.80/47.67 inference(bind,[status(th)],[])).
% 75.80/47.67 tff(1914,plain,
% 75.80/47.67 (![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(quant_intro,[status(thm)],[1913])).
% 75.80/47.67 tff(1915,axiom,(![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 75.80/47.67 tff(1916,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 75.80/47.67 tff(1917,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1916, 1912])).
% 75.80/47.67 tff(1918,plain,(
% 75.80/47.67 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(skolemize,[status(sab)],[1917])).
% 75.80/47.67 tff(1919,plain,
% 75.80/47.67 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1918, 1911])).
% 75.80/47.67 tff(1920,plain,
% 75.80/47.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 75.80/47.67 inference(rewrite,[status(thm)],[])).
% 75.80/47.67 tff(1921,plain,
% 75.80/47.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 75.80/47.67 inference(quant_inst,[status(thm)],[])).
% 75.80/47.67 tff(1922,plain,
% 75.80/47.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11)),
% 75.80/47.67 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 75.80/47.67 tff(1923,plain,
% 75.80/47.67 ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)) | v124(constB11)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1922, 1919, 1909])).
% 75.80/47.68 tff(1924,plain,
% 75.80/47.68 ($false),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1923, 1908, 1867, 1818])).
% 75.80/47.68 tff(1925,plain,((~v123(constB9)) | v124(constB11) | v90(constB11, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 75.80/47.68 tff(1926,plain,
% 75.80/47.68 (v124(constB11)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1925, 1817, 1686])).
% 75.80/47.68 tff(1927,plain,
% 75.80/47.68 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 75.80/47.68 inference(bind,[status(th)],[])).
% 75.80/47.68 tff(1928,plain,
% 75.80/47.68 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(quant_intro,[status(thm)],[1927])).
% 75.80/47.68 tff(1929,plain,
% 75.80/47.68 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1930,plain,
% 75.80/47.68 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 75.80/47.68 inference(bind,[status(th)],[])).
% 75.80/47.68 tff(1931,plain,
% 75.80/47.68 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(quant_intro,[status(thm)],[1930])).
% 75.80/47.68 tff(1932,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 75.80/47.68 tff(1933,plain,
% 75.80/47.68 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 75.80/47.68 tff(1934,plain,
% 75.80/47.68 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1933, 1929])).
% 75.80/47.68 tff(1935,plain,(
% 75.80/47.68 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(skolemize,[status(sab)],[1934])).
% 75.80/47.68 tff(1936,plain,
% 75.80/47.68 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1935, 1928])).
% 75.80/47.68 tff(1937,plain,
% 75.80/47.68 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1938,plain,
% 75.80/47.68 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1939,plain,
% 75.80/47.68 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1)),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 75.80/47.68 tff(1940,plain,
% 75.80/47.68 (v130(constB11, bitIndex1)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1939, 1936, 1926])).
% 75.80/47.68 tff(1941,assumption,(v26(constB11)), introduced(assumption)).
% 75.80/47.68 tff(1942,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1943,plain,
% 75.80/47.68 ($false),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1942, 14, 1941])).
% 75.80/47.68 tff(1944,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 75.80/47.68 tff(1945,plain,
% 75.80/47.68 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v124(VarCurr))) <=> (v114(VarCurr) | (~v124(VarCurr))))),
% 75.80/47.68 inference(bind,[status(th)],[])).
% 75.80/47.68 tff(1946,plain,
% 75.80/47.68 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 75.80/47.68 inference(quant_intro,[status(thm)],[1945])).
% 75.80/47.68 tff(1947,plain,
% 75.80/47.68 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1948,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 75.80/47.68 tff(1949,plain,
% 75.80/47.68 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 75.80/47.68 tff(1950,plain,(
% 75.80/47.68 ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 75.80/47.68 inference(skolemize,[status(sab)],[1949])).
% 75.80/47.68 tff(1951,plain,
% 75.80/47.68 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1950, 1946])).
% 75.80/47.68 tff(1952,plain,
% 75.80/47.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1953,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1954,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 75.80/47.68 tff(1955,plain,
% 75.80/47.68 (v114(constB11)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1954, 1951, 1926])).
% 75.80/47.68 tff(1956,plain,
% 75.80/47.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1957,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1958,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 75.80/47.68 tff(1959,plain,
% 75.80/47.68 (v113(constB11)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1958, 541, 1955])).
% 75.80/47.68 tff(1960,assumption,(~v26(constB11)), introduced(assumption)).
% 75.80/47.68 tff(1961,assumption,(v113(constB11)), introduced(assumption)).
% 75.80/47.68 tff(1962,plain,
% 75.80/47.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1963,plain,
% 75.80/47.68 ((v26(constB11) | (~v113(constB11)) | v112(constB11)) <=> (v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1964,plain,
% 75.80/47.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11))))),
% 75.80/47.68 inference(monotonicity,[status(thm)],[1963])).
% 75.80/47.68 tff(1965,plain,
% 75.80/47.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 75.80/47.68 inference(transitivity,[status(thm)],[1964, 1962])).
% 75.80/47.68 tff(1966,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1967,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1966, 1965])).
% 75.80/47.68 tff(1968,plain,
% 75.80/47.68 (v26(constB11) | v112(constB11)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1967, 555, 1961])).
% 75.80/47.68 tff(1969,plain,
% 75.80/47.68 (v112(constB11)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1968, 1960])).
% 75.80/47.68 tff(1970,assumption,(v130(constB11, bitIndex1)), introduced(assumption)).
% 75.80/47.68 tff(1971,plain,
% 75.80/47.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1972,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1973,plain,
% 75.80/47.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 75.80/47.68 tff(1974,plain,
% 75.80/47.68 (v26(constB11) | v127(constB11, bitIndex1)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1973, 1031, 1970])).
% 75.80/47.68 tff(1975,plain,
% 75.80/47.68 (v127(constB11, bitIndex1)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1974, 1960])).
% 75.80/47.68 tff(1976,plain,
% 75.80/47.68 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1977,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 75.80/47.68 tff(1978,plain,
% 75.80/47.68 (nextState(constB11, constB12)),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 75.80/47.68 tff(1979,plain,
% 75.80/47.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1980,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1981,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 75.80/47.68 tff(1982,plain,
% 75.80/47.68 ((~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1981, 1046, 1978])).
% 75.80/47.68 tff(1983,plain,
% 75.80/47.68 (v129(constB12, bitIndex1)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1982, 1975])).
% 75.80/47.68 tff(1984,assumption,(~v90(constB12, bitIndex1)), introduced(assumption)).
% 75.80/47.68 tff(1985,plain,
% 75.80/47.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1986,plain,
% 75.80/47.68 ((v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1987,plain,
% 75.80/47.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))))),
% 75.80/47.68 inference(monotonicity,[status(thm)],[1986])).
% 75.80/47.68 tff(1988,plain,
% 75.80/47.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 75.80/47.68 inference(transitivity,[status(thm)],[1987, 1985])).
% 75.80/47.68 tff(1989,plain,
% 75.80/47.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1990,plain,
% 75.80/47.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 75.80/47.68 tff(1991,plain,
% 75.80/47.68 ((~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1990, 1061, 1984])).
% 75.80/47.68 tff(1992,plain,
% 75.80/47.68 (~v100(constB12)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1991, 1983])).
% 75.80/47.68 tff(1993,plain,
% 75.80/47.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1994,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1995,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 75.80/47.68 tff(1996,plain,
% 75.80/47.68 (~v104(constB12)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1995, 589, 1978, 1793])).
% 75.80/47.68 tff(1997,plain,
% 75.80/47.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(1998,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(1999,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 75.80/47.68 tff(2000,plain,
% 75.80/47.68 (v102(constB12) | v104(constB12)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[1999, 603, 1978])).
% 75.80/47.68 tff(2001,plain,
% 75.80/47.68 (v102(constB12)),
% 75.80/47.68 inference(unit_resolution,[status(thm)],[2000, 1996])).
% 75.80/47.68 tff(2002,plain,
% 75.80/47.68 (v1(constB12) <=> v1(constB12)),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(2003,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 75.80/47.68 tff(2004,plain,
% 75.80/47.68 (v1(constB12)),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 75.80/47.68 tff(2005,plain,
% 75.80/47.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 75.80/47.68 inference(rewrite,[status(thm)],[])).
% 75.80/47.68 tff(2006,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 75.80/47.68 inference(quant_inst,[status(thm)],[])).
% 75.80/47.68 tff(2007,plain,
% 75.80/47.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 75.80/47.68 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 75.80/47.68 tff(2008,plain,
% 75.80/47.69 (v101(constB12) | (~v102(constB12))),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2007, 621, 1978, 2004])).
% 75.80/47.69 tff(2009,plain,
% 75.80/47.69 (v101(constB12)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2008, 2001])).
% 75.80/47.69 tff(2010,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2011,plain,
% 75.80/47.69 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2012,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 75.80/47.69 inference(monotonicity,[status(thm)],[2011])).
% 75.80/47.69 tff(2013,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 75.80/47.69 inference(transitivity,[status(thm)],[2012, 2010])).
% 75.80/47.69 tff(2014,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2015,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 75.80/47.69 tff(2016,plain,
% 75.80/47.69 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2015, 636, 1978])).
% 75.80/47.69 tff(2017,plain,
% 75.80/47.69 (v100(constB12) | (~v110(constB12))),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2016, 2009])).
% 75.80/47.69 tff(2018,plain,
% 75.80/47.69 (~v110(constB12)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2017, 1992])).
% 75.80/47.69 tff(2019,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2020,plain,
% 75.80/47.69 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2021,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 75.80/47.69 inference(monotonicity,[status(thm)],[2020])).
% 75.80/47.69 tff(2022,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 75.80/47.69 inference(transitivity,[status(thm)],[2021, 2019])).
% 75.80/47.69 tff(2023,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2024,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 75.80/47.69 tff(2025,plain,
% 75.80/47.69 (v110(constB12) | (~v108(constB11))),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2024, 571, 1978])).
% 75.80/47.69 tff(2026,plain,
% 75.80/47.69 (~v108(constB11)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2025, 2018])).
% 75.80/47.69 tff(2027,plain,
% 75.80/47.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2028,plain,
% 75.80/47.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2029,plain,
% 75.80/47.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 75.80/47.69 tff(2030,plain,
% 75.80/47.69 ($false),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2029, 464, 2026, 1969])).
% 75.80/47.69 tff(2031,plain,(v26(constB11) | v90(constB12, bitIndex1) | (~v113(constB11)) | (~v130(constB11, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 75.80/47.69 tff(2032,plain,
% 75.80/47.69 (v90(constB12, bitIndex1)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2031, 1959, 1944, 1940])).
% 75.80/47.69 tff(2033,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2034,plain,
% 75.80/47.69 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))) <=> (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2035,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1))))),
% 75.80/47.69 inference(monotonicity,[status(thm)],[2034])).
% 75.80/47.69 tff(2036,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 75.80/47.69 inference(transitivity,[status(thm)],[2035, 2033])).
% 75.80/47.69 tff(2037,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2038,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 75.80/47.69 tff(2039,plain,
% 75.80/47.69 (v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2038, 360, 1978])).
% 75.80/47.69 tff(2040,plain,
% 75.80/47.69 (v100(constB12)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2039, 2032, 1817])).
% 75.80/47.69 tff(2041,plain,
% 75.80/47.69 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 75.80/47.69 inference(bind,[status(th)],[])).
% 75.80/47.69 tff(2042,plain,
% 75.80/47.69 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(quant_intro,[status(thm)],[2041])).
% 75.80/47.69 tff(2043,plain,
% 75.80/47.69 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2044,plain,
% 75.80/47.69 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 75.80/47.69 inference(bind,[status(th)],[])).
% 75.80/47.69 tff(2045,plain,
% 75.80/47.69 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(quant_intro,[status(thm)],[2044])).
% 75.80/47.69 tff(2046,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 75.80/47.69 tff(2047,plain,
% 75.80/47.69 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2046, 2045])).
% 75.80/47.69 tff(2048,plain,
% 75.80/47.69 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2047, 2043])).
% 75.80/47.69 tff(2049,plain,(
% 75.80/47.69 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(skolemize,[status(sab)],[2048])).
% 75.80/47.69 tff(2050,plain,
% 75.80/47.69 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2049, 2042])).
% 75.80/47.69 tff(2051,plain,
% 75.80/47.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2052,plain,
% 75.80/47.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2053,plain,
% 75.80/47.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2)),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 75.80/47.69 tff(2054,plain,
% 75.80/47.69 (v130(constB11, bitIndex2)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2053, 2050, 1926])).
% 75.80/47.69 tff(2055,plain,
% 75.80/47.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2056,plain,
% 75.80/47.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2057,plain,
% 75.80/47.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 75.80/47.69 tff(2058,plain,
% 75.80/47.69 ((~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2057, 1431, 1944])).
% 75.80/47.69 tff(2059,plain,
% 75.80/47.69 (v127(constB11, bitIndex2)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2058, 2054])).
% 75.80/47.69 tff(2060,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2061,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2062,plain,
% 75.80/47.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 75.80/47.69 tff(2063,plain,
% 75.80/47.69 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2062, 1449, 1978])).
% 75.80/47.69 tff(2064,plain,
% 75.80/47.69 (v129(constB12, bitIndex2)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2063, 2059])).
% 75.80/47.69 tff(2065,plain,
% 75.80/47.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2066,plain,
% 75.80/47.69 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 75.80/47.69 inference(rewrite,[status(thm)],[])).
% 75.80/47.69 tff(2067,plain,
% 75.80/47.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 75.80/47.69 inference(monotonicity,[status(thm)],[2066])).
% 75.80/47.69 tff(2068,plain,
% 75.80/47.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 75.80/47.69 inference(transitivity,[status(thm)],[2067, 2065])).
% 75.80/47.69 tff(2069,plain,
% 75.80/47.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 75.80/47.69 inference(quant_inst,[status(thm)],[])).
% 75.80/47.69 tff(2070,plain,
% 75.80/47.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 75.80/47.69 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 75.80/47.69 tff(2071,plain,
% 75.80/47.69 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2070, 1539, 2064])).
% 75.80/47.69 tff(2072,plain,
% 75.80/47.69 (v90(constB12, bitIndex2)),
% 75.80/47.69 inference(unit_resolution,[status(thm)],[2071, 2040])).
% 75.80/47.69 tff(2073,plain,
% 75.80/47.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 75.80/47.70 inference(rewrite,[status(thm)],[])).
% 75.80/47.70 tff(2074,plain,
% 75.80/47.70 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 75.80/47.70 inference(rewrite,[status(thm)],[])).
% 75.80/47.70 tff(2075,plain,
% 75.80/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 75.80/47.70 inference(monotonicity,[status(thm)],[2074])).
% 75.80/47.70 tff(2076,plain,
% 75.80/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 75.80/47.70 inference(transitivity,[status(thm)],[2075, 2073])).
% 75.80/47.70 tff(2077,plain,
% 75.80/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 75.80/47.70 inference(quant_inst,[status(thm)],[])).
% 75.80/47.70 tff(2078,plain,
% 75.80/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 75.80/47.70 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 75.80/47.70 tff(2079,plain,
% 75.80/47.70 (~v101(constB13)),
% 75.80/47.70 inference(unit_resolution,[status(thm)],[2078, 307, 44, 137])).
% 75.80/47.70 tff(2080,plain,
% 75.80/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 75.80/47.70 inference(rewrite,[status(thm)],[])).
% 75.80/47.70 tff(2081,plain,
% 75.80/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 75.80/47.70 inference(quant_inst,[status(thm)],[])).
% 75.80/47.70 tff(2082,plain,
% 75.80/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 75.80/47.70 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 75.80/47.70 tff(2083,plain,
% 75.80/47.70 (v101(constB13) | (~v100(constB13))),
% 75.80/47.70 inference(unit_resolution,[status(thm)],[2082, 324, 44])).
% 75.80/47.70 tff(2084,plain,
% 75.80/47.70 (~v100(constB13)),
% 75.80/47.70 inference(unit_resolution,[status(thm)],[2083, 2079])).
% 75.80/47.70 tff(2085,plain,
% 75.80/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 75.80/47.70 inference(rewrite,[status(thm)],[])).
% 75.80/47.70 tff(2086,plain,
% 75.80/47.70 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 75.80/47.70 inference(rewrite,[status(thm)],[])).
% 75.80/47.70 tff(2087,plain,
% 75.80/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 75.90/47.70 inference(monotonicity,[status(thm)],[2086])).
% 75.90/47.70 tff(2088,plain,
% 75.90/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 75.90/47.70 inference(transitivity,[status(thm)],[2087, 2085])).
% 75.90/47.70 tff(2089,plain,
% 75.90/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 75.90/47.70 inference(quant_inst,[status(thm)],[])).
% 75.90/47.70 tff(2090,plain,
% 75.90/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 75.90/47.70 inference(modus_ponens,[status(thm)],[2089, 2088])).
% 75.90/47.70 tff(2091,plain,
% 75.90/47.70 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2090, 1575, 44])).
% 75.90/47.70 tff(2092,plain,
% 75.90/47.70 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2091, 2084])).
% 75.90/47.70 tff(2093,plain,
% 75.90/47.70 (v90(constB13, bitIndex2)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2092, 2072])).
% 75.90/47.70 tff(2094,plain,
% 75.90/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 75.90/47.70 inference(rewrite,[status(thm)],[])).
% 75.90/47.70 tff(2095,plain,
% 75.90/47.70 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 75.90/47.70 inference(rewrite,[status(thm)],[])).
% 75.90/47.70 tff(2096,plain,
% 75.90/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)))),
% 75.90/47.70 inference(monotonicity,[status(thm)],[2095])).
% 75.90/47.70 tff(2097,plain,
% 75.90/47.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 75.90/47.70 inference(transitivity,[status(thm)],[2096, 2094])).
% 75.90/47.70 tff(2098,plain,
% 75.90/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))),
% 75.90/47.70 inference(quant_inst,[status(thm)],[])).
% 75.90/47.70 tff(2099,plain,
% 75.90/47.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)),
% 75.90/47.70 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 75.90/47.70 tff(2100,plain,
% 75.90/47.70 ((~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2099, 1079, 44])).
% 75.90/47.70 tff(2101,plain,
% 75.90/47.70 ((~v90(constB12, bitIndex1)) | v90(constB13, bitIndex1)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2100, 2084])).
% 75.90/47.70 tff(2102,plain,
% 75.90/47.70 (v90(constB13, bitIndex1)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2101, 2032])).
% 75.90/47.70 tff(2103,plain,
% 75.90/47.70 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 75.90/47.70 inference(bind,[status(th)],[])).
% 75.90/47.70 tff(2104,plain,
% 75.90/47.70 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(quant_intro,[status(thm)],[2103])).
% 75.90/47.70 tff(2105,plain,
% 75.90/47.70 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(rewrite,[status(thm)],[])).
% 75.90/47.70 tff(2106,plain,
% 75.90/47.70 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 75.90/47.70 inference(bind,[status(th)],[])).
% 75.90/47.70 tff(2107,plain,
% 75.90/47.70 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(quant_intro,[status(thm)],[2106])).
% 75.90/47.70 tff(2108,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 75.90/47.70 tff(2109,plain,
% 75.90/47.70 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 75.90/47.70 tff(2110,plain,
% 75.90/47.70 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(modus_ponens,[status(thm)],[2109, 2105])).
% 75.90/47.70 tff(2111,plain,(
% 75.90/47.70 ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(skolemize,[status(sab)],[2110])).
% 75.90/47.70 tff(2112,plain,
% 75.90/47.70 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 75.90/47.70 inference(modus_ponens,[status(thm)],[2111, 2104])).
% 75.90/47.70 tff(2113,plain,
% 75.90/47.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 75.90/47.70 inference(rewrite,[status(thm)],[])).
% 75.90/47.70 tff(2114,plain,
% 75.90/47.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 75.90/47.70 inference(quant_inst,[status(thm)],[])).
% 75.90/47.70 tff(2115,plain,
% 75.90/47.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0))),
% 75.90/47.70 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 75.90/47.70 tff(2116,plain,
% 75.90/47.70 (~v130(constB11, bitIndex0)),
% 75.90/47.70 inference(unit_resolution,[status(thm)],[2115, 2112, 1926])).
% 75.90/47.70 tff(2117,plain,
% 75.90/47.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 75.90/47.70 inference(rewrite,[status(thm)],[])).
% 75.90/47.70 tff(2118,plain,
% 75.90/47.70 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2119,plain,
% 75.90/47.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 75.90/47.71 inference(monotonicity,[status(thm)],[2118])).
% 75.90/47.71 tff(2120,plain,
% 75.90/47.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 75.90/47.71 inference(transitivity,[status(thm)],[2119, 2117])).
% 75.90/47.71 tff(2121,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2122,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 75.90/47.71 tff(2123,plain,
% 75.90/47.71 ((~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2122, 1112, 1944])).
% 75.90/47.71 tff(2124,plain,
% 75.90/47.71 (~v127(constB11, bitIndex0)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2123, 2116])).
% 75.90/47.71 tff(2125,plain,
% 75.90/47.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2126,plain,
% 75.90/47.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2127,plain,
% 75.90/47.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2126, 2125])).
% 75.90/47.71 tff(2128,plain,
% 75.90/47.71 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2127, 1130, 1978])).
% 75.90/47.71 tff(2129,plain,
% 75.90/47.71 (~v129(constB12, bitIndex0)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2128, 2124])).
% 75.90/47.71 tff(2130,plain,
% 75.90/47.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2131,plain,
% 75.90/47.71 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2132,plain,
% 75.90/47.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 75.90/47.71 inference(monotonicity,[status(thm)],[2131])).
% 75.90/47.71 tff(2133,plain,
% 75.90/47.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 75.90/47.71 inference(transitivity,[status(thm)],[2132, 2130])).
% 75.90/47.71 tff(2134,plain,
% 75.90/47.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2135,plain,
% 75.90/47.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 75.90/47.71 tff(2136,plain,
% 75.90/47.71 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2135, 1145, 2129])).
% 75.90/47.71 tff(2137,plain,
% 75.90/47.71 (~v90(constB12, bitIndex0)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2136, 2040])).
% 75.90/47.71 tff(2138,plain,
% 75.90/47.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2139,plain,
% 75.90/47.71 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2140,plain,
% 75.90/47.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 75.90/47.71 inference(monotonicity,[status(thm)],[2139])).
% 75.90/47.71 tff(2141,plain,
% 75.90/47.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 75.90/47.71 inference(transitivity,[status(thm)],[2140, 2138])).
% 75.90/47.71 tff(2142,plain,
% 75.90/47.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2143,plain,
% 75.90/47.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 75.90/47.71 tff(2144,plain,
% 75.90/47.71 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2143, 381, 44])).
% 75.90/47.71 tff(2145,plain,
% 75.90/47.71 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2144, 2084])).
% 75.90/47.71 tff(2146,plain,
% 75.90/47.71 (~v90(constB13, bitIndex0)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2145, 2137])).
% 75.90/47.71 tff(2147,plain,
% 75.90/47.71 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 75.90/47.71 inference(bind,[status(th)],[])).
% 75.90/47.71 tff(2148,plain,
% 75.90/47.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(quant_intro,[status(thm)],[2147])).
% 75.90/47.71 tff(2149,plain,
% 75.90/47.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2150,plain,
% 75.90/47.71 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 75.90/47.71 inference(bind,[status(th)],[])).
% 75.90/47.71 tff(2151,plain,
% 75.90/47.71 (![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(quant_intro,[status(thm)],[2150])).
% 75.90/47.71 tff(2152,axiom,(![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 75.90/47.71 tff(2153,plain,
% 75.90/47.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 75.90/47.71 tff(2154,plain,
% 75.90/47.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2153, 2149])).
% 75.90/47.71 tff(2155,plain,(
% 75.90/47.71 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(skolemize,[status(sab)],[2154])).
% 75.90/47.71 tff(2156,plain,
% 75.90/47.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2155, 2148])).
% 75.90/47.71 tff(2157,plain,
% 75.90/47.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2158,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2159,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13)),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 75.90/47.71 tff(2160,plain,
% 75.90/47.71 (v125(constB13)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2159, 2156, 2146, 2102, 2093])).
% 75.90/47.71 tff(2161,plain,
% 75.90/47.71 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v125(VarCurr))) <=> (v113(VarCurr) | (~v125(VarCurr))))),
% 75.90/47.71 inference(bind,[status(th)],[])).
% 75.90/47.71 tff(2162,plain,
% 75.90/47.71 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 75.90/47.71 inference(quant_intro,[status(thm)],[2161])).
% 75.90/47.71 tff(2163,plain,
% 75.90/47.71 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2164,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 75.90/47.71 tff(2165,plain,
% 75.90/47.71 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 75.90/47.71 tff(2166,plain,(
% 75.90/47.71 ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 75.90/47.71 inference(skolemize,[status(sab)],[2165])).
% 75.90/47.71 tff(2167,plain,
% 75.90/47.71 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2166, 2162])).
% 75.90/47.71 tff(2168,plain,
% 75.90/47.71 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2169,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2170,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2169, 2168])).
% 75.90/47.71 tff(2171,plain,
% 75.90/47.71 (v113(constB13)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2170, 2167, 2160])).
% 75.90/47.71 tff(2172,plain,
% 75.90/47.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2173,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2174,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 75.90/47.71 tff(2175,plain,
% 75.90/47.71 (v26(constB13) | v112(constB13)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2174, 555, 2171])).
% 75.90/47.71 tff(2176,plain,
% 75.90/47.71 (v112(constB13)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2175, 275])).
% 75.90/47.71 tff(2177,plain,
% 75.90/47.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13)))),
% 75.90/47.71 inference(rewrite,[status(thm)],[])).
% 75.90/47.71 tff(2178,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))),
% 75.90/47.71 inference(quant_inst,[status(thm)],[])).
% 75.90/47.71 tff(2179,plain,
% 75.90/47.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13))),
% 75.90/47.71 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 75.90/47.71 tff(2180,plain,
% 75.90/47.71 (v108(constB13)),
% 75.90/47.71 inference(unit_resolution,[status(thm)],[2179, 464, 2176])).
% 75.90/47.71 tff(2181,plain,
% 75.90/47.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2182,plain,
% 75.90/47.72 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2183,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 75.90/47.72 inference(monotonicity,[status(thm)],[2182])).
% 75.90/47.72 tff(2184,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 75.90/47.72 inference(transitivity,[status(thm)],[2183, 2181])).
% 75.90/47.72 tff(2185,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2186,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2185, 2184])).
% 75.90/47.72 tff(2187,plain,
% 75.90/47.72 (v110(constB14) | (~v108(constB13))),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2186, 571, 119])).
% 75.90/47.72 tff(2188,plain,
% 75.90/47.72 (v110(constB14)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2187, 2180])).
% 75.90/47.72 tff(2189,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2190,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2191,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 75.90/47.72 tff(2192,plain,
% 75.90/47.72 (~v104(constB14)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2191, 589, 119, 137])).
% 75.90/47.72 tff(2193,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2194,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2195,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2194, 2193])).
% 75.90/47.72 tff(2196,plain,
% 75.90/47.72 (v102(constB14) | v104(constB14)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2195, 603, 119])).
% 75.90/47.72 tff(2197,plain,
% 75.90/47.72 (v102(constB14)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2196, 2192])).
% 75.90/47.72 tff(2198,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2199,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2200,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 75.90/47.72 tff(2201,plain,
% 75.90/47.72 (v101(constB14) | (~v102(constB14))),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2200, 621, 119, 76])).
% 75.90/47.72 tff(2202,plain,
% 75.90/47.72 (v101(constB14)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2201, 2197])).
% 75.90/47.72 tff(2203,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2204,plain,
% 75.90/47.72 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2205,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 75.90/47.72 inference(monotonicity,[status(thm)],[2204])).
% 75.90/47.72 tff(2206,plain,
% 75.90/47.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 75.90/47.72 inference(transitivity,[status(thm)],[2205, 2203])).
% 75.90/47.72 tff(2207,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2208,plain,
% 75.90/47.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 75.90/47.72 tff(2209,plain,
% 75.90/47.72 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2208, 636, 119])).
% 75.90/47.72 tff(2210,plain,
% 75.90/47.72 (v100(constB14) | (~v110(constB14))),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2209, 2202])).
% 75.90/47.72 tff(2211,plain,
% 75.90/47.72 (v100(constB14)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2210, 2188])).
% 75.90/47.72 tff(2212,plain,
% 75.90/47.72 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))))),
% 75.90/47.72 inference(bind,[status(th)],[])).
% 75.90/47.72 tff(2213,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 75.90/47.72 inference(quant_intro,[status(thm)],[2212])).
% 75.90/47.72 tff(2214,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2215,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 75.90/47.72 tff(2216,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 75.90/47.72 tff(2217,plain,(
% 75.90/47.72 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 75.90/47.72 inference(skolemize,[status(sab)],[2216])).
% 75.90/47.72 tff(2218,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2217, 2213])).
% 75.90/47.72 tff(2219,plain,
% 75.90/47.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2220,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2221,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 75.90/47.72 tff(2222,plain,
% 75.90/47.72 (~v121(constB13)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2221, 2218, 2093])).
% 75.90/47.72 tff(2223,plain,
% 75.90/47.72 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))))),
% 75.90/47.72 inference(bind,[status(th)],[])).
% 75.90/47.72 tff(2224,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 75.90/47.72 inference(quant_intro,[status(thm)],[2223])).
% 75.90/47.72 tff(2225,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2226,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 75.90/47.72 tff(2227,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 75.90/47.72 tff(2228,plain,(
% 75.90/47.72 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 75.90/47.72 inference(skolemize,[status(sab)],[2227])).
% 75.90/47.72 tff(2229,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2228, 2224])).
% 75.90/47.72 tff(2230,plain,
% 75.90/47.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v122(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v122(constB13)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2231,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v122(constB13)))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2232,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v122(constB13))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 75.90/47.72 tff(2233,plain,
% 75.90/47.72 (~v122(constB13)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2232, 2229, 2093])).
% 75.90/47.72 tff(2234,plain,
% 75.90/47.72 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 75.90/47.72 inference(bind,[status(th)],[])).
% 75.90/47.72 tff(2235,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(quant_intro,[status(thm)],[2234])).
% 75.90/47.72 tff(2236,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2237,plain,
% 75.90/47.72 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 75.90/47.72 inference(bind,[status(th)],[])).
% 75.90/47.72 tff(2238,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(quant_intro,[status(thm)],[2237])).
% 75.90/47.72 tff(2239,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 75.90/47.72 tff(2240,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 75.90/47.72 tff(2241,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2240, 2236])).
% 75.90/47.72 tff(2242,plain,(
% 75.90/47.72 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(skolemize,[status(sab)],[2241])).
% 75.90/47.72 tff(2243,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2242, 2235])).
% 75.90/47.72 tff(2244,plain,
% 75.90/47.72 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2245,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2246,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 75.90/47.72 tff(2247,plain,
% 75.90/47.72 (~v119(constB13)),
% 75.90/47.72 inference(unit_resolution,[status(thm)],[2246, 2243, 2102])).
% 75.90/47.72 tff(2248,plain,
% 75.90/47.72 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))))),
% 75.90/47.72 inference(bind,[status(th)],[])).
% 75.90/47.72 tff(2249,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 75.90/47.72 inference(quant_intro,[status(thm)],[2248])).
% 75.90/47.72 tff(2250,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2251,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 75.90/47.72 tff(2252,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 75.90/47.72 tff(2253,plain,(
% 75.90/47.72 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 75.90/47.72 inference(skolemize,[status(sab)],[2252])).
% 75.90/47.72 tff(2254,plain,
% 75.90/47.72 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 75.90/47.72 inference(modus_ponens,[status(thm)],[2253, 2249])).
% 75.90/47.72 tff(2255,plain,
% 75.90/47.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 75.90/47.72 inference(rewrite,[status(thm)],[])).
% 75.90/47.72 tff(2256,plain,
% 75.90/47.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 75.90/47.72 inference(quant_inst,[status(thm)],[])).
% 75.90/47.72 tff(2257,plain,
% 75.90/47.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 75.90/47.73 tff(2258,plain,
% 75.90/47.73 (~v120(constB13)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2257, 2254, 2102])).
% 75.90/47.73 tff(2259,plain,
% 75.90/47.73 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))))),
% 75.90/47.73 inference(bind,[status(th)],[])).
% 75.90/47.73 tff(2260,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 75.90/47.73 inference(quant_intro,[status(thm)],[2259])).
% 75.90/47.73 tff(2261,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2262,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 75.90/47.73 tff(2263,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 75.90/47.73 tff(2264,plain,(
% 75.90/47.73 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 75.90/47.73 inference(skolemize,[status(sab)],[2263])).
% 75.90/47.73 tff(2265,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2264, 2260])).
% 75.90/47.73 tff(2266,plain,
% 75.90/47.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2267,plain,
% 75.90/47.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 75.90/47.73 inference(quant_inst,[status(thm)],[])).
% 75.90/47.73 tff(2268,plain,
% 75.90/47.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 75.90/47.73 tff(2269,plain,
% 75.90/47.73 (~v123(constB13)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2268, 2265, 2102])).
% 75.90/47.73 tff(2270,plain,
% 75.90/47.73 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))))),
% 75.90/47.73 inference(bind,[status(th)],[])).
% 75.90/47.73 tff(2271,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 75.90/47.73 inference(quant_intro,[status(thm)],[2270])).
% 75.90/47.73 tff(2272,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2273,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 75.90/47.73 tff(2274,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 75.90/47.73 tff(2275,plain,(
% 75.90/47.73 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 75.90/47.73 inference(skolemize,[status(sab)],[2274])).
% 75.90/47.73 tff(2276,plain,
% 75.90/47.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2275, 2271])).
% 75.90/47.73 tff(2277,plain,
% 75.90/47.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2278,plain,
% 75.90/47.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 75.90/47.73 inference(quant_inst,[status(thm)],[])).
% 75.90/47.73 tff(2279,plain,
% 75.90/47.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 75.90/47.73 tff(2280,plain,
% 75.90/47.73 (~v124(constB13)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2279, 2276, 2102])).
% 75.90/47.73 tff(2281,plain,
% 75.90/47.73 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 75.90/47.73 inference(bind,[status(th)],[])).
% 75.90/47.73 tff(2282,plain,
% 75.90/47.73 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(quant_intro,[status(thm)],[2281])).
% 75.90/47.73 tff(2283,plain,
% 75.90/47.73 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2284,plain,
% 75.90/47.73 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 75.90/47.73 inference(bind,[status(th)],[])).
% 75.90/47.73 tff(2285,plain,
% 75.90/47.73 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(quant_intro,[status(thm)],[2284])).
% 75.90/47.73 tff(2286,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 75.90/47.73 tff(2287,plain,
% 75.90/47.73 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 75.90/47.73 tff(2288,plain,
% 75.90/47.73 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2287, 2283])).
% 75.90/47.73 tff(2289,plain,(
% 75.90/47.73 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(skolemize,[status(sab)],[2288])).
% 75.90/47.73 tff(2290,plain,
% 75.90/47.73 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2289, 2282])).
% 75.90/47.73 tff(2291,plain,
% 75.90/47.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB13, bitIndex2)) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB13, bitIndex2)) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2292,plain,
% 75.90/47.73 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))) <=> ((~v130(constB13, bitIndex2)) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2293,plain,
% 75.90/47.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB13, bitIndex2)) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13)))),
% 75.90/47.73 inference(monotonicity,[status(thm)],[2292])).
% 75.90/47.73 tff(2294,plain,
% 75.90/47.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB13, bitIndex2)) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13))),
% 75.90/47.73 inference(transitivity,[status(thm)],[2293, 2291])).
% 75.90/47.73 tff(2295,plain,
% 75.90/47.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 75.90/47.73 inference(quant_inst,[status(thm)],[])).
% 75.90/47.73 tff(2296,plain,
% 75.90/47.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB13, bitIndex2)) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13)),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 75.90/47.73 tff(2297,plain,
% 75.90/47.73 (~v130(constB13, bitIndex2)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2296, 2290, 2280, 2269, 2258, 2247, 2233, 2222])).
% 75.90/47.73 tff(2298,plain,
% 75.90/47.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2299,plain,
% 75.90/47.73 ((v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2))) <=> ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2300,plain,
% 75.90/47.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)))),
% 75.90/47.73 inference(monotonicity,[status(thm)],[2299])).
% 75.90/47.73 tff(2301,plain,
% 75.90/47.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 75.90/47.73 inference(transitivity,[status(thm)],[2300, 2298])).
% 75.90/47.73 tff(2302,plain,
% 75.90/47.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))),
% 75.90/47.73 inference(quant_inst,[status(thm)],[])).
% 75.90/47.73 tff(2303,plain,
% 75.90/47.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 75.90/47.73 tff(2304,plain,
% 75.90/47.73 ((~v127(constB13, bitIndex2)) | v26(constB13)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2303, 430, 2297])).
% 75.90/47.73 tff(2305,plain,
% 75.90/47.73 (~v127(constB13, bitIndex2)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2304, 275])).
% 75.90/47.73 tff(2306,plain,
% 75.90/47.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2307,plain,
% 75.90/47.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 75.90/47.73 inference(quant_inst,[status(thm)],[])).
% 75.90/47.73 tff(2308,plain,
% 75.90/47.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2307, 2306])).
% 75.90/47.73 tff(2309,plain,
% 75.90/47.73 (v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2308, 451, 119])).
% 75.90/47.73 tff(2310,plain,
% 75.90/47.73 (~v129(constB14, bitIndex2)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2309, 2305])).
% 75.90/47.73 tff(2311,plain,
% 75.90/47.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2312,plain,
% 75.90/47.73 (((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2313,plain,
% 75.90/47.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))))),
% 75.90/47.73 inference(monotonicity,[status(thm)],[2312])).
% 75.90/47.73 tff(2314,plain,
% 75.90/47.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 75.90/47.73 inference(transitivity,[status(thm)],[2313, 2311])).
% 75.90/47.73 tff(2315,plain,
% 75.90/47.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))),
% 75.90/47.73 inference(quant_inst,[status(thm)],[])).
% 75.90/47.73 tff(2316,plain,
% 75.90/47.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 75.90/47.73 tff(2317,plain,
% 75.90/47.73 ((~v90(constB14, bitIndex2)) | (~v100(constB14))),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2316, 655, 2310])).
% 75.90/47.73 tff(2318,plain,
% 75.90/47.73 (~v90(constB14, bitIndex2)),
% 75.90/47.73 inference(unit_resolution,[status(thm)],[2317, 2211])).
% 75.90/47.73 tff(2319,plain,
% 75.90/47.73 ((~v1(constB15)) <=> (~v1(constB15))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2320,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 75.90/47.73 tff(2321,plain,
% 75.90/47.73 (~v1(constB15)),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 75.90/47.73 tff(2322,plain,
% 75.90/47.73 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2323,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 75.90/47.73 tff(2324,plain,
% 75.90/47.73 (nextState(constB14, constB15)),
% 75.90/47.73 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 75.90/47.73 tff(2325,plain,
% 75.90/47.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2326,plain,
% 75.90/47.73 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 75.90/47.73 inference(rewrite,[status(thm)],[])).
% 75.90/47.73 tff(2327,plain,
% 75.90/47.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 75.90/47.74 inference(monotonicity,[status(thm)],[2326])).
% 75.90/47.74 tff(2328,plain,
% 75.90/47.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 75.90/47.74 inference(transitivity,[status(thm)],[2327, 2325])).
% 75.90/47.74 tff(2329,plain,
% 75.90/47.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 75.90/47.74 inference(quant_inst,[status(thm)],[])).
% 75.90/47.74 tff(2330,plain,
% 75.90/47.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 75.90/47.74 tff(2331,plain,
% 75.90/47.74 (~v101(constB15)),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2330, 307, 2324, 2321])).
% 75.90/47.74 tff(2332,plain,
% 75.90/47.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2333,plain,
% 75.90/47.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 75.90/47.74 inference(quant_inst,[status(thm)],[])).
% 75.90/47.74 tff(2334,plain,
% 75.90/47.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 75.90/47.74 tff(2335,plain,
% 75.90/47.74 (v101(constB15) | (~v100(constB15))),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2334, 324, 2324])).
% 75.90/47.74 tff(2336,plain,
% 75.90/47.74 (~v100(constB15)),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2335, 2331])).
% 75.90/47.74 tff(2337,plain,
% 75.90/47.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2338,plain,
% 75.90/47.74 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2339,plain,
% 75.90/47.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))))),
% 75.90/47.74 inference(monotonicity,[status(thm)],[2338])).
% 75.90/47.74 tff(2340,plain,
% 75.90/47.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 75.90/47.74 inference(transitivity,[status(thm)],[2339, 2337])).
% 75.90/47.74 tff(2341,plain,
% 75.90/47.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 75.90/47.74 inference(quant_inst,[status(thm)],[])).
% 75.90/47.74 tff(2342,plain,
% 75.90/47.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 75.90/47.74 tff(2343,plain,
% 75.90/47.74 (v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2342, 339, 2324])).
% 75.90/47.74 tff(2344,plain,
% 75.90/47.74 (v90(constB14, bitIndex2) | (~v90(constB15, bitIndex2))),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2343, 2336])).
% 75.90/47.74 tff(2345,plain,
% 75.90/47.74 (~v90(constB15, bitIndex2)),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2344, 2318])).
% 75.90/47.74 tff(2346,plain,
% 75.90/47.74 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 75.90/47.74 inference(bind,[status(th)],[])).
% 75.90/47.74 tff(2347,plain,
% 75.90/47.74 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(quant_intro,[status(thm)],[2346])).
% 75.90/47.74 tff(2348,plain,
% 75.90/47.74 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2349,plain,
% 75.90/47.74 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 75.90/47.74 inference(bind,[status(th)],[])).
% 75.90/47.74 tff(2350,plain,
% 75.90/47.74 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(quant_intro,[status(thm)],[2349])).
% 75.90/47.74 tff(2351,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 75.90/47.74 tff(2352,plain,
% 75.90/47.74 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2351, 2350])).
% 75.90/47.74 tff(2353,plain,
% 75.90/47.74 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2352, 2348])).
% 75.90/47.74 tff(2354,plain,(
% 75.90/47.74 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(skolemize,[status(sab)],[2353])).
% 75.90/47.74 tff(2355,plain,
% 75.90/47.74 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2354, 2347])).
% 75.90/47.74 tff(2356,plain,
% 75.90/47.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2357,plain,
% 75.90/47.74 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))) <=> (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2358,plain,
% 75.90/47.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1))))),
% 75.90/47.74 inference(monotonicity,[status(thm)],[2357])).
% 75.90/47.74 tff(2359,plain,
% 75.90/47.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))),
% 75.90/47.74 inference(transitivity,[status(thm)],[2358, 2356])).
% 75.90/47.74 tff(2360,plain,
% 75.90/47.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 75.90/47.74 inference(quant_inst,[status(thm)],[])).
% 75.90/47.74 tff(2361,plain,
% 75.90/47.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1))),
% 75.90/47.74 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 75.90/47.74 tff(2362,plain,
% 75.90/47.74 (~v130(constB13, bitIndex1)),
% 75.90/47.74 inference(unit_resolution,[status(thm)],[2361, 2355, 2280, 2269, 2258, 2247, 2233, 2222])).
% 75.90/47.74 tff(2363,plain,
% 75.90/47.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2364,plain,
% 75.90/47.74 ((v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1))) <=> ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 75.90/47.74 inference(rewrite,[status(thm)],[])).
% 75.90/47.74 tff(2365,plain,
% 75.90/47.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)))),
% 75.90/47.74 inference(monotonicity,[status(thm)],[2364])).
% 75.90/47.74 tff(2366,plain,
% 75.90/47.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 75.90/47.74 inference(transitivity,[status(thm)],[2365, 2363])).
% 75.90/47.74 tff(2367,plain,
% 75.90/47.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))),
% 75.90/47.74 inference(quant_inst,[status(thm)],[])).
% 75.90/47.74 tff(2368,plain,
% 75.90/47.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 75.90/47.75 tff(2369,plain,
% 75.90/47.75 ((~v127(constB13, bitIndex1)) | v26(constB13)),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2368, 714, 2362])).
% 75.90/47.75 tff(2370,plain,
% 75.90/47.75 (~v127(constB13, bitIndex1)),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2369, 275])).
% 75.90/47.75 tff(2371,plain,
% 75.90/47.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2372,plain,
% 75.90/47.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 75.90/47.75 inference(quant_inst,[status(thm)],[])).
% 75.90/47.75 tff(2373,plain,
% 75.90/47.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 75.90/47.75 tff(2374,plain,
% 75.90/47.75 (v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2373, 732, 119])).
% 75.90/47.75 tff(2375,plain,
% 75.90/47.75 (~v129(constB14, bitIndex1)),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2374, 2370])).
% 75.90/47.75 tff(2376,plain,
% 75.90/47.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2377,plain,
% 75.90/47.75 (((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2378,plain,
% 75.90/47.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))))),
% 75.90/47.75 inference(monotonicity,[status(thm)],[2377])).
% 75.90/47.75 tff(2379,plain,
% 75.90/47.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 75.90/47.75 inference(transitivity,[status(thm)],[2378, 2376])).
% 75.90/47.75 tff(2380,plain,
% 75.90/47.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))),
% 75.90/47.75 inference(quant_inst,[status(thm)],[])).
% 75.90/47.75 tff(2381,plain,
% 75.90/47.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 75.90/47.75 tff(2382,plain,
% 75.90/47.75 ((~v90(constB14, bitIndex1)) | (~v100(constB14))),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2381, 747, 2375])).
% 75.90/47.75 tff(2383,plain,
% 75.90/47.75 (~v90(constB14, bitIndex1)),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2382, 2211])).
% 75.90/47.75 tff(2384,plain,
% 75.90/47.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2385,plain,
% 75.90/47.75 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2386,plain,
% 75.90/47.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))))),
% 75.90/47.75 inference(monotonicity,[status(thm)],[2385])).
% 75.90/47.75 tff(2387,plain,
% 75.90/47.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 75.90/47.75 inference(transitivity,[status(thm)],[2386, 2384])).
% 75.90/47.75 tff(2388,plain,
% 75.90/47.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 75.90/47.75 inference(quant_inst,[status(thm)],[])).
% 75.90/47.75 tff(2389,plain,
% 75.90/47.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2388, 2387])).
% 75.90/47.75 tff(2390,plain,
% 75.90/47.75 (v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2389, 360, 2324])).
% 75.90/47.75 tff(2391,plain,
% 75.90/47.75 (v90(constB14, bitIndex1) | (~v90(constB15, bitIndex1))),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2390, 2336])).
% 75.90/47.75 tff(2392,plain,
% 75.90/47.75 (~v90(constB15, bitIndex1)),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2391, 2383])).
% 75.90/47.75 tff(2393,plain,
% 75.90/47.75 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 75.90/47.75 inference(bind,[status(th)],[])).
% 75.90/47.75 tff(2394,plain,
% 75.90/47.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(quant_intro,[status(thm)],[2393])).
% 75.90/47.75 tff(2395,plain,
% 75.90/47.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2396,plain,
% 75.90/47.75 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | v124(VarCurr)) <=> (v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)))), rewrite(((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 75.90/47.75 inference(bind,[status(th)],[])).
% 75.90/47.75 tff(2397,plain,
% 75.90/47.75 (![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(quant_intro,[status(thm)],[2396])).
% 75.90/47.75 tff(2398,axiom,(![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 75.90/47.75 tff(2399,plain,
% 75.90/47.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 75.90/47.75 tff(2400,plain,
% 75.90/47.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2399, 2395])).
% 75.90/47.75 tff(2401,plain,(
% 75.90/47.75 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(skolemize,[status(sab)],[2400])).
% 75.90/47.75 tff(2402,plain,
% 75.90/47.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2401, 2394])).
% 75.90/47.75 tff(2403,plain,
% 75.90/47.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2404,plain,
% 75.90/47.75 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0)) <=> (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.75 tff(2405,plain,
% 75.90/47.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0)))),
% 75.90/47.75 inference(monotonicity,[status(thm)],[2404])).
% 75.90/47.75 tff(2406,plain,
% 75.90/47.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))),
% 75.90/47.75 inference(transitivity,[status(thm)],[2405, 2403])).
% 75.90/47.75 tff(2407,plain,
% 75.90/47.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 75.90/47.75 inference(quant_inst,[status(thm)],[])).
% 75.90/47.75 tff(2408,plain,
% 75.90/47.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0)),
% 75.90/47.75 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 75.90/47.75 tff(2409,plain,
% 75.90/47.75 (v130(constB13, bitIndex0)),
% 75.90/47.75 inference(unit_resolution,[status(thm)],[2408, 2402, 2280, 2269, 2258, 2247, 2233, 2222])).
% 75.90/47.75 tff(2410,plain,
% 75.90/47.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 75.90/47.75 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2411,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2412,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0)),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 75.90/47.76 tff(2413,plain,
% 75.90/47.76 (v26(constB13) | v127(constB13, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2412, 788, 2409])).
% 75.90/47.76 tff(2414,plain,
% 75.90/47.76 (v127(constB13, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2413, 275])).
% 75.90/47.76 tff(2415,plain,
% 75.90/47.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2416,plain,
% 75.90/47.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2417,plain,
% 75.90/47.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 75.90/47.76 tff(2418,plain,
% 75.90/47.76 ((~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2417, 803, 119])).
% 75.90/47.76 tff(2419,plain,
% 75.90/47.76 (v129(constB14, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2418, 2414])).
% 75.90/47.76 tff(2420,plain,
% 75.90/47.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2421,plain,
% 75.90/47.76 ((v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2422,plain,
% 75.90/47.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))))),
% 75.90/47.76 inference(monotonicity,[status(thm)],[2421])).
% 75.90/47.76 tff(2423,plain,
% 75.90/47.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 75.90/47.76 inference(transitivity,[status(thm)],[2422, 2420])).
% 75.90/47.76 tff(2424,plain,
% 75.90/47.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2425,plain,
% 75.90/47.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2424, 2423])).
% 75.90/47.76 tff(2426,plain,
% 75.90/47.76 (v90(constB14, bitIndex0) | (~v100(constB14))),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2425, 818, 2419])).
% 75.90/47.76 tff(2427,plain,
% 75.90/47.76 (v90(constB14, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2426, 2211])).
% 75.90/47.76 tff(2428,plain,
% 75.90/47.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2429,plain,
% 75.90/47.76 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2430,plain,
% 75.90/47.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)))),
% 75.90/47.76 inference(monotonicity,[status(thm)],[2429])).
% 75.90/47.76 tff(2431,plain,
% 75.90/47.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 75.90/47.76 inference(transitivity,[status(thm)],[2430, 2428])).
% 75.90/47.76 tff(2432,plain,
% 75.90/47.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2433,plain,
% 75.90/47.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 75.90/47.76 tff(2434,plain,
% 75.90/47.76 ((~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2433, 836, 2324])).
% 75.90/47.76 tff(2435,plain,
% 75.90/47.76 ((~v90(constB14, bitIndex0)) | v90(constB15, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2434, 2336])).
% 75.90/47.76 tff(2436,plain,
% 75.90/47.76 (v90(constB15, bitIndex0)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2435, 2427])).
% 75.90/47.76 tff(2437,plain,
% 75.90/47.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2438,plain,
% 75.90/47.76 (((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)) <=> ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2439,plain,
% 75.90/47.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)))),
% 75.90/47.76 inference(monotonicity,[status(thm)],[2438])).
% 75.90/47.76 tff(2440,plain,
% 75.90/47.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 75.90/47.76 inference(transitivity,[status(thm)],[2439, 2437])).
% 75.90/47.76 tff(2441,plain,
% 75.90/47.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2442,plain,
% 75.90/47.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 75.90/47.76 tff(2443,plain,
% 75.90/47.76 (v120(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2442, 855, 2436, 2392, 2345])).
% 75.90/47.76 tff(2444,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2445,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2446,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 75.90/47.76 tff(2447,plain,
% 75.90/47.76 (v118(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2446, 908, 2443])).
% 75.90/47.76 tff(2448,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2449,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2450,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 75.90/47.76 tff(2451,plain,
% 75.90/47.76 (v117(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2450, 497, 2447])).
% 75.90/47.76 tff(2452,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2453,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2454,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 75.90/47.76 tff(2455,plain,
% 75.90/47.76 (v116(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2454, 508, 2451])).
% 75.90/47.76 tff(2456,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2457,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2458,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 75.90/47.76 tff(2459,plain,
% 75.90/47.76 (v115(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2458, 519, 2455])).
% 75.90/47.76 tff(2460,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2461,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2462,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 75.90/47.76 tff(2463,plain,
% 75.90/47.76 (v114(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2462, 530, 2459])).
% 75.90/47.76 tff(2464,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2465,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2466,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 75.90/47.76 tff(2467,plain,
% 75.90/47.76 (v113(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2466, 541, 2463])).
% 75.90/47.76 tff(2468,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2469,plain,
% 75.90/47.76 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2470,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15))))),
% 75.90/47.76 inference(monotonicity,[status(thm)],[2469])).
% 75.90/47.76 tff(2471,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 75.90/47.76 inference(transitivity,[status(thm)],[2470, 2468])).
% 75.90/47.76 tff(2472,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2473,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 75.90/47.76 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 75.90/47.76 tff(2474,plain,
% 75.90/47.76 (v26(constB15) | v112(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2473, 555, 2467])).
% 75.90/47.76 tff(2475,plain,
% 75.90/47.76 (v112(constB15)),
% 75.90/47.76 inference(unit_resolution,[status(thm)],[2474, 37])).
% 75.90/47.76 tff(2476,plain,
% 75.90/47.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15)))),
% 75.90/47.76 inference(rewrite,[status(thm)],[])).
% 75.90/47.76 tff(2477,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))),
% 75.90/47.76 inference(quant_inst,[status(thm)],[])).
% 75.90/47.76 tff(2478,plain,
% 75.90/47.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 75.90/47.77 tff(2479,plain,
% 75.90/47.77 (v108(constB15)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2478, 464, 2475])).
% 75.90/47.77 tff(2480,plain,
% 75.90/47.77 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2481,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 75.90/47.77 tff(2482,plain,
% 75.90/47.77 (nextState(constB15, constB16)),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 75.90/47.77 tff(2483,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2484,plain,
% 75.90/47.77 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2485,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 75.90/47.77 inference(monotonicity,[status(thm)],[2484])).
% 75.90/47.77 tff(2486,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 75.90/47.77 inference(transitivity,[status(thm)],[2485, 2483])).
% 75.90/47.77 tff(2487,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2488,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 75.90/47.77 tff(2489,plain,
% 75.90/47.77 (v110(constB16) | (~v108(constB15))),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2488, 571, 2482])).
% 75.90/47.77 tff(2490,plain,
% 75.90/47.77 (v110(constB16)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2489, 2479])).
% 75.90/47.77 tff(2491,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2492,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2493,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 75.90/47.77 tff(2494,plain,
% 75.90/47.77 (~v104(constB16)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2493, 589, 2482, 2321])).
% 75.90/47.77 tff(2495,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2496,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2497,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 75.90/47.77 tff(2498,plain,
% 75.90/47.77 (v102(constB16) | v104(constB16)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2497, 603, 2482])).
% 75.90/47.77 tff(2499,plain,
% 75.90/47.77 (v102(constB16)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2498, 2494])).
% 75.90/47.77 tff(2500,plain,
% 75.90/47.77 (v1(constB16) <=> v1(constB16)),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2501,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 75.90/47.77 tff(2502,plain,
% 75.90/47.77 (v1(constB16)),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2501, 2500])).
% 75.90/47.77 tff(2503,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2504,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2505,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 75.90/47.77 tff(2506,plain,
% 75.90/47.77 (v101(constB16) | (~v102(constB16))),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2505, 621, 2482, 2502])).
% 75.90/47.77 tff(2507,plain,
% 75.90/47.77 (v101(constB16)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2506, 2499])).
% 75.90/47.77 tff(2508,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2509,plain,
% 75.90/47.77 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2510,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 75.90/47.77 inference(monotonicity,[status(thm)],[2509])).
% 75.90/47.77 tff(2511,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 75.90/47.77 inference(transitivity,[status(thm)],[2510, 2508])).
% 75.90/47.77 tff(2512,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2513,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 75.90/47.77 tff(2514,plain,
% 75.90/47.77 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2513, 636, 2482])).
% 75.90/47.77 tff(2515,plain,
% 75.90/47.77 (v100(constB16) | (~v110(constB16))),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2514, 2507])).
% 75.90/47.77 tff(2516,plain,
% 75.90/47.77 (v100(constB16)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2515, 2490])).
% 75.90/47.77 tff(2517,plain,
% 75.90/47.77 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2518,plain,
% 75.90/47.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2519,plain,
% 75.90/47.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2518, 2517])).
% 75.90/47.77 tff(2520,plain,
% 75.90/47.77 (~v130(constB15, bitIndex2)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2519, 872, 2443])).
% 75.90/47.77 tff(2521,plain,
% 75.90/47.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2522,plain,
% 75.90/47.77 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2523,plain,
% 75.90/47.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 75.90/47.77 inference(monotonicity,[status(thm)],[2522])).
% 75.90/47.77 tff(2524,plain,
% 75.90/47.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 75.90/47.77 inference(transitivity,[status(thm)],[2523, 2521])).
% 75.90/47.77 tff(2525,plain,
% 75.90/47.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2526,plain,
% 75.90/47.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 75.90/47.77 tff(2527,plain,
% 75.90/47.77 ((~v127(constB15, bitIndex2)) | v26(constB15)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2526, 430, 2520])).
% 75.90/47.77 tff(2528,plain,
% 75.90/47.77 (~v127(constB15, bitIndex2)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2527, 37])).
% 75.90/47.77 tff(2529,plain,
% 75.90/47.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2530,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2531,plain,
% 75.90/47.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 75.90/47.77 tff(2532,plain,
% 75.90/47.77 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2531, 451, 2482])).
% 75.90/47.77 tff(2533,plain,
% 75.90/47.77 (~v129(constB16, bitIndex2)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2532, 2528])).
% 75.90/47.77 tff(2534,plain,
% 75.90/47.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2535,plain,
% 75.90/47.77 (((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2)) <=> ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2536,plain,
% 75.90/47.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))))),
% 75.90/47.77 inference(monotonicity,[status(thm)],[2535])).
% 75.90/47.77 tff(2537,plain,
% 75.90/47.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 75.90/47.77 inference(transitivity,[status(thm)],[2536, 2534])).
% 75.90/47.77 tff(2538,plain,
% 75.90/47.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))),
% 75.90/47.77 inference(quant_inst,[status(thm)],[])).
% 75.90/47.77 tff(2539,plain,
% 75.90/47.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 75.90/47.77 tff(2540,plain,
% 75.90/47.77 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2539, 655, 2533])).
% 75.90/47.77 tff(2541,plain,
% 75.90/47.77 (~v90(constB16, bitIndex2)),
% 75.90/47.77 inference(unit_resolution,[status(thm)],[2540, 2516])).
% 75.90/47.77 tff(2542,plain,
% 75.90/47.77 ((~v1(constB17)) <=> (~v1(constB17))),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2543,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 75.90/47.77 tff(2544,plain,
% 75.90/47.77 (~v1(constB17)),
% 75.90/47.77 inference(modus_ponens,[status(thm)],[2543, 2542])).
% 75.90/47.77 tff(2545,plain,
% 75.90/47.77 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 75.90/47.77 inference(rewrite,[status(thm)],[])).
% 75.90/47.77 tff(2546,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 75.90/47.77 tff(2547,plain,
% 75.90/47.77 (nextState(constB16, constB17)),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 75.90/47.78 tff(2548,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2549,plain,
% 75.90/47.78 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2550,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 75.90/47.78 inference(monotonicity,[status(thm)],[2549])).
% 75.90/47.78 tff(2551,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 75.90/47.78 inference(transitivity,[status(thm)],[2550, 2548])).
% 75.90/47.78 tff(2552,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2553,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2552, 2551])).
% 75.90/47.78 tff(2554,plain,
% 75.90/47.78 (~v101(constB17)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2553, 307, 2547, 2544])).
% 75.90/47.78 tff(2555,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2556,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2557,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 75.90/47.78 tff(2558,plain,
% 75.90/47.78 (v101(constB17) | (~v100(constB17))),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2557, 324, 2547])).
% 75.90/47.78 tff(2559,plain,
% 75.90/47.78 (~v100(constB17)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2558, 2554])).
% 75.90/47.78 tff(2560,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2561,plain,
% 75.90/47.78 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2562,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 75.90/47.78 inference(monotonicity,[status(thm)],[2561])).
% 75.90/47.78 tff(2563,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 75.90/47.78 inference(transitivity,[status(thm)],[2562, 2560])).
% 75.90/47.78 tff(2564,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2565,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 75.90/47.78 tff(2566,plain,
% 75.90/47.78 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2565, 339, 2547])).
% 75.90/47.78 tff(2567,plain,
% 75.90/47.78 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2566, 2559])).
% 75.90/47.78 tff(2568,plain,
% 75.90/47.78 (~v90(constB17, bitIndex2)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2567, 2541])).
% 75.90/47.78 tff(2569,plain,
% 75.90/47.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2570,plain,
% 75.90/47.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2571,plain,
% 75.90/47.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1)),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 75.90/47.78 tff(2572,plain,
% 75.90/47.78 (v130(constB15, bitIndex1)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2571, 1017, 2443])).
% 75.90/47.78 tff(2573,plain,
% 75.90/47.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2574,plain,
% 75.90/47.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2575,plain,
% 75.90/47.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2574, 2573])).
% 75.90/47.78 tff(2576,plain,
% 75.90/47.78 (v26(constB15) | v127(constB15, bitIndex1)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2575, 1031, 2572])).
% 75.90/47.78 tff(2577,plain,
% 75.90/47.78 (v127(constB15, bitIndex1)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2576, 37])).
% 75.90/47.78 tff(2578,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2579,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2580,plain,
% 75.90/47.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 75.90/47.78 tff(2581,plain,
% 75.90/47.78 ((~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2580, 1046, 2482])).
% 75.90/47.78 tff(2582,plain,
% 75.90/47.78 (v129(constB16, bitIndex1)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2581, 2577])).
% 75.90/47.78 tff(2583,plain,
% 75.90/47.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2584,plain,
% 75.90/47.78 ((v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 75.90/47.78 inference(rewrite,[status(thm)],[])).
% 75.90/47.78 tff(2585,plain,
% 75.90/47.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))))),
% 75.90/47.78 inference(monotonicity,[status(thm)],[2584])).
% 75.90/47.78 tff(2586,plain,
% 75.90/47.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 75.90/47.78 inference(transitivity,[status(thm)],[2585, 2583])).
% 75.90/47.78 tff(2587,plain,
% 75.90/47.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))),
% 75.90/47.78 inference(quant_inst,[status(thm)],[])).
% 75.90/47.78 tff(2588,plain,
% 75.90/47.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))),
% 75.90/47.78 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 75.90/47.78 tff(2589,plain,
% 75.90/47.78 (v90(constB16, bitIndex1) | (~v100(constB16))),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2588, 1061, 2582])).
% 75.90/47.78 tff(2590,plain,
% 75.90/47.78 (v90(constB16, bitIndex1)),
% 75.90/47.78 inference(unit_resolution,[status(thm)],[2589, 2516])).
% 75.90/47.78 tff(2591,plain,
% 75.90/47.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2592,plain,
% 75.90/47.79 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2593,plain,
% 75.90/47.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)))),
% 75.90/47.79 inference(monotonicity,[status(thm)],[2592])).
% 75.90/47.79 tff(2594,plain,
% 75.90/47.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 75.90/47.79 inference(transitivity,[status(thm)],[2593, 2591])).
% 75.90/47.79 tff(2595,plain,
% 75.90/47.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))),
% 75.90/47.79 inference(quant_inst,[status(thm)],[])).
% 75.90/47.79 tff(2596,plain,
% 75.90/47.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)),
% 75.90/47.79 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 75.90/47.79 tff(2597,plain,
% 75.90/47.79 ((~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2596, 1079, 2547])).
% 75.90/47.79 tff(2598,plain,
% 75.90/47.79 ((~v90(constB16, bitIndex1)) | v90(constB17, bitIndex1)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2597, 2559])).
% 75.90/47.79 tff(2599,plain,
% 75.90/47.79 (v90(constB17, bitIndex1)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2598, 2590])).
% 75.90/47.79 tff(2600,plain,
% 75.90/47.79 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2601,plain,
% 75.90/47.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 75.90/47.79 inference(quant_inst,[status(thm)],[])).
% 75.90/47.79 tff(2602,plain,
% 75.90/47.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0))),
% 75.90/47.79 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 75.90/47.79 tff(2603,plain,
% 75.90/47.79 (~v130(constB15, bitIndex0)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2602, 1098, 2443])).
% 75.90/47.79 tff(2604,plain,
% 75.90/47.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2605,plain,
% 75.90/47.79 ((v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0))) <=> ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2606,plain,
% 75.90/47.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)))),
% 75.90/47.79 inference(monotonicity,[status(thm)],[2605])).
% 75.90/47.79 tff(2607,plain,
% 75.90/47.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 75.90/47.79 inference(transitivity,[status(thm)],[2606, 2604])).
% 75.90/47.79 tff(2608,plain,
% 75.90/47.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))),
% 75.90/47.79 inference(quant_inst,[status(thm)],[])).
% 75.90/47.79 tff(2609,plain,
% 75.90/47.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)),
% 75.90/47.79 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 75.90/47.79 tff(2610,plain,
% 75.90/47.79 ((~v127(constB15, bitIndex0)) | v26(constB15)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2609, 1112, 2603])).
% 75.90/47.79 tff(2611,plain,
% 75.90/47.79 (~v127(constB15, bitIndex0)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2610, 37])).
% 75.90/47.79 tff(2612,plain,
% 75.90/47.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2613,plain,
% 75.90/47.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 75.90/47.79 inference(quant_inst,[status(thm)],[])).
% 75.90/47.79 tff(2614,plain,
% 75.90/47.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 75.90/47.79 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 75.90/47.79 tff(2615,plain,
% 75.90/47.79 (v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2614, 1130, 2482])).
% 75.90/47.79 tff(2616,plain,
% 75.90/47.79 (~v129(constB16, bitIndex0)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2615, 2611])).
% 75.90/47.79 tff(2617,plain,
% 75.90/47.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2618,plain,
% 75.90/47.79 (((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2619,plain,
% 75.90/47.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))))),
% 75.90/47.79 inference(monotonicity,[status(thm)],[2618])).
% 75.90/47.79 tff(2620,plain,
% 75.90/47.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 75.90/47.79 inference(transitivity,[status(thm)],[2619, 2617])).
% 75.90/47.79 tff(2621,plain,
% 75.90/47.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))),
% 75.90/47.79 inference(quant_inst,[status(thm)],[])).
% 75.90/47.79 tff(2622,plain,
% 75.90/47.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))),
% 75.90/47.79 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 75.90/47.79 tff(2623,plain,
% 75.90/47.79 ((~v90(constB16, bitIndex0)) | (~v100(constB16))),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2622, 1145, 2616])).
% 75.90/47.79 tff(2624,plain,
% 75.90/47.79 (~v90(constB16, bitIndex0)),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2623, 2516])).
% 75.90/47.79 tff(2625,plain,
% 75.90/47.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2626,plain,
% 75.90/47.79 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 75.90/47.79 inference(rewrite,[status(thm)],[])).
% 75.90/47.79 tff(2627,plain,
% 75.90/47.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))))),
% 75.90/47.79 inference(monotonicity,[status(thm)],[2626])).
% 75.90/47.79 tff(2628,plain,
% 75.90/47.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 75.90/47.79 inference(transitivity,[status(thm)],[2627, 2625])).
% 75.90/47.79 tff(2629,plain,
% 75.90/47.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 75.90/47.79 inference(quant_inst,[status(thm)],[])).
% 75.90/47.79 tff(2630,plain,
% 75.90/47.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 75.90/47.79 inference(modus_ponens,[status(thm)],[2629, 2628])).
% 75.90/47.79 tff(2631,plain,
% 75.90/47.79 (v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2630, 381, 2547])).
% 75.90/47.79 tff(2632,plain,
% 75.90/47.79 (v90(constB16, bitIndex0) | (~v90(constB17, bitIndex0))),
% 75.90/47.79 inference(unit_resolution,[status(thm)],[2631, 2559])).
% 75.90/47.79 tff(2633,plain,
% 75.90/47.79 (~v90(constB17, bitIndex0)),
% 76.00/47.79 inference(unit_resolution,[status(thm)],[2632, 2624])).
% 76.00/47.79 tff(2634,plain,
% 76.00/47.79 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 76.00/47.79 inference(rewrite,[status(thm)],[])).
% 76.00/47.79 tff(2635,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 76.00/47.79 inference(quant_inst,[status(thm)],[])).
% 76.00/47.79 tff(2636,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17)),
% 76.00/47.79 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 76.00/47.79 tff(2637,plain,
% 76.00/47.79 (v121(constB17)),
% 76.00/47.79 inference(unit_resolution,[status(thm)],[2636, 1172, 2633, 2599, 2568])).
% 76.00/47.79 tff(2638,plain,
% 76.00/47.79 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17)))),
% 76.00/47.79 inference(rewrite,[status(thm)],[])).
% 76.00/47.79 tff(2639,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))),
% 76.00/47.79 inference(quant_inst,[status(thm)],[])).
% 76.00/47.79 tff(2640,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17))),
% 76.00/47.79 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 76.00/47.79 tff(2641,plain,
% 76.00/47.79 (v117(constB17)),
% 76.00/47.79 inference(unit_resolution,[status(thm)],[2640, 1183, 2637])).
% 76.00/47.79 tff(2642,plain,
% 76.00/47.79 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17)))),
% 76.00/47.79 inference(rewrite,[status(thm)],[])).
% 76.00/47.79 tff(2643,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))),
% 76.00/47.79 inference(quant_inst,[status(thm)],[])).
% 76.00/47.79 tff(2644,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17))),
% 76.00/47.79 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 76.00/47.79 tff(2645,plain,
% 76.00/47.79 (v116(constB17)),
% 76.00/47.79 inference(unit_resolution,[status(thm)],[2644, 508, 2641])).
% 76.00/47.79 tff(2646,plain,
% 76.00/47.79 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17)))),
% 76.00/47.79 inference(rewrite,[status(thm)],[])).
% 76.00/47.79 tff(2647,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))),
% 76.00/47.79 inference(quant_inst,[status(thm)],[])).
% 76.00/47.79 tff(2648,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17))),
% 76.00/47.79 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 76.00/47.79 tff(2649,plain,
% 76.00/47.79 (v115(constB17)),
% 76.00/47.79 inference(unit_resolution,[status(thm)],[2648, 519, 2645])).
% 76.00/47.79 tff(2650,plain,
% 76.00/47.79 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17)))),
% 76.00/47.79 inference(rewrite,[status(thm)],[])).
% 76.00/47.79 tff(2651,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))),
% 76.00/47.79 inference(quant_inst,[status(thm)],[])).
% 76.00/47.79 tff(2652,plain,
% 76.00/47.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17))),
% 76.00/47.79 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 76.00/47.79 tff(2653,plain,
% 76.00/47.79 (v114(constB17)),
% 76.00/47.79 inference(unit_resolution,[status(thm)],[2652, 530, 2649])).
% 76.00/47.79 tff(2654,plain,
% 76.00/47.79 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2655,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2656,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 76.00/47.80 tff(2657,plain,
% 76.00/47.80 (v113(constB17)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2656, 541, 2653])).
% 76.00/47.80 tff(2658,plain,
% 76.00/47.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2659,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2660,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 76.00/47.80 tff(2661,plain,
% 76.00/47.80 (v26(constB17) | v112(constB17)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2660, 555, 2657])).
% 76.00/47.80 tff(2662,plain,
% 76.00/47.80 (v112(constB17)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2661, 33])).
% 76.00/47.80 tff(2663,plain,
% 76.00/47.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2664,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2665,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 76.00/47.80 tff(2666,plain,
% 76.00/47.80 (v108(constB17)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2665, 464, 2662])).
% 76.00/47.80 tff(2667,plain,
% 76.00/47.80 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2668,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 76.00/47.80 tff(2669,plain,
% 76.00/47.80 (nextState(constB17, constB18)),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 76.00/47.80 tff(2670,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2671,plain,
% 76.00/47.80 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2672,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 76.00/47.80 inference(monotonicity,[status(thm)],[2671])).
% 76.00/47.80 tff(2673,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 76.00/47.80 inference(transitivity,[status(thm)],[2672, 2670])).
% 76.00/47.80 tff(2674,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2675,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 76.00/47.80 tff(2676,plain,
% 76.00/47.80 (v110(constB18) | (~v108(constB17))),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2675, 571, 2669])).
% 76.00/47.80 tff(2677,plain,
% 76.00/47.80 (v110(constB18)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2676, 2666])).
% 76.00/47.80 tff(2678,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2679,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2680,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 76.00/47.80 tff(2681,plain,
% 76.00/47.80 (~v104(constB18)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2680, 589, 2669, 2544])).
% 76.00/47.80 tff(2682,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2683,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2684,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2683, 2682])).
% 76.00/47.80 tff(2685,plain,
% 76.00/47.80 (v102(constB18) | v104(constB18)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2684, 603, 2669])).
% 76.00/47.80 tff(2686,plain,
% 76.00/47.80 (v102(constB18)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2685, 2681])).
% 76.00/47.80 tff(2687,plain,
% 76.00/47.80 (v1(constB18) <=> v1(constB18)),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2688,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 76.00/47.80 tff(2689,plain,
% 76.00/47.80 (v1(constB18)),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 76.00/47.80 tff(2690,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2691,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2692,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 76.00/47.80 tff(2693,plain,
% 76.00/47.80 (v101(constB18) | (~v102(constB18))),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2692, 621, 2669, 2689])).
% 76.00/47.80 tff(2694,plain,
% 76.00/47.80 (v101(constB18)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2693, 2686])).
% 76.00/47.80 tff(2695,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2696,plain,
% 76.00/47.80 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2697,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 76.00/47.80 inference(monotonicity,[status(thm)],[2696])).
% 76.00/47.80 tff(2698,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 76.00/47.80 inference(transitivity,[status(thm)],[2697, 2695])).
% 76.00/47.80 tff(2699,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2700,plain,
% 76.00/47.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 76.00/47.80 tff(2701,plain,
% 76.00/47.80 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2700, 636, 2669])).
% 76.00/47.80 tff(2702,plain,
% 76.00/47.80 (v100(constB18) | (~v110(constB18))),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2701, 2694])).
% 76.00/47.80 tff(2703,plain,
% 76.00/47.80 (v100(constB18)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2702, 2677])).
% 76.00/47.80 tff(2704,plain,
% 76.00/47.80 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2705,plain,
% 76.00/47.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2706,plain,
% 76.00/47.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2))),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 76.00/47.80 tff(2707,plain,
% 76.00/47.80 (~v130(constB17, bitIndex2)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2706, 1259, 2637])).
% 76.00/47.80 tff(2708,plain,
% 76.00/47.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2709,plain,
% 76.00/47.80 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 76.00/47.80 inference(rewrite,[status(thm)],[])).
% 76.00/47.80 tff(2710,plain,
% 76.00/47.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 76.00/47.80 inference(monotonicity,[status(thm)],[2709])).
% 76.00/47.80 tff(2711,plain,
% 76.00/47.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 76.00/47.80 inference(transitivity,[status(thm)],[2710, 2708])).
% 76.00/47.80 tff(2712,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 76.00/47.80 inference(quant_inst,[status(thm)],[])).
% 76.00/47.80 tff(2713,plain,
% 76.00/47.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 76.00/47.80 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 76.00/47.80 tff(2714,plain,
% 76.00/47.80 ((~v127(constB17, bitIndex2)) | v26(constB17)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2713, 430, 2707])).
% 76.00/47.80 tff(2715,plain,
% 76.00/47.80 (~v127(constB17, bitIndex2)),
% 76.00/47.80 inference(unit_resolution,[status(thm)],[2714, 33])).
% 76.00/47.80 tff(2716,plain,
% 76.00/47.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2717,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2718,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 76.00/47.81 tff(2719,plain,
% 76.00/47.81 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2718, 451, 2669])).
% 76.00/47.81 tff(2720,plain,
% 76.00/47.81 (~v129(constB18, bitIndex2)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2719, 2715])).
% 76.00/47.81 tff(2721,plain,
% 76.00/47.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2722,plain,
% 76.00/47.81 (((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2)) <=> ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2723,plain,
% 76.00/47.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))))),
% 76.00/47.81 inference(monotonicity,[status(thm)],[2722])).
% 76.00/47.81 tff(2724,plain,
% 76.00/47.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 76.00/47.81 inference(transitivity,[status(thm)],[2723, 2721])).
% 76.00/47.81 tff(2725,plain,
% 76.00/47.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2726,plain,
% 76.00/47.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 76.00/47.81 tff(2727,plain,
% 76.00/47.81 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2726, 655, 2720])).
% 76.00/47.81 tff(2728,plain,
% 76.00/47.81 (~v90(constB18, bitIndex2)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2727, 2703])).
% 76.00/47.81 tff(2729,plain,
% 76.00/47.81 ((~v1(constB19)) <=> (~v1(constB19))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2730,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 76.00/47.81 tff(2731,plain,
% 76.00/47.81 (~v1(constB19)),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 76.00/47.81 tff(2732,plain,
% 76.00/47.81 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2733,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 76.00/47.81 tff(2734,plain,
% 76.00/47.81 (nextState(constB18, constB19)),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 76.00/47.81 tff(2735,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2736,plain,
% 76.00/47.81 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2737,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 76.00/47.81 inference(monotonicity,[status(thm)],[2736])).
% 76.00/47.81 tff(2738,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 76.00/47.81 inference(transitivity,[status(thm)],[2737, 2735])).
% 76.00/47.81 tff(2739,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2740,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 76.00/47.81 tff(2741,plain,
% 76.00/47.81 (~v101(constB19)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2740, 307, 2734, 2731])).
% 76.00/47.81 tff(2742,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2743,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2744,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 76.00/47.81 tff(2745,plain,
% 76.00/47.81 (v101(constB19) | (~v100(constB19))),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2744, 324, 2734])).
% 76.00/47.81 tff(2746,plain,
% 76.00/47.81 (~v100(constB19)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2745, 2741])).
% 76.00/47.81 tff(2747,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2748,plain,
% 76.00/47.81 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2749,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 76.00/47.81 inference(monotonicity,[status(thm)],[2748])).
% 76.00/47.81 tff(2750,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 76.00/47.81 inference(transitivity,[status(thm)],[2749, 2747])).
% 76.00/47.81 tff(2751,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2752,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 76.00/47.81 tff(2753,plain,
% 76.00/47.81 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2752, 339, 2734])).
% 76.00/47.81 tff(2754,plain,
% 76.00/47.81 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2753, 2746])).
% 76.00/47.81 tff(2755,plain,
% 76.00/47.81 (~v90(constB19, bitIndex2)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2754, 2728])).
% 76.00/47.81 tff(2756,plain,
% 76.00/47.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2757,plain,
% 76.00/47.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2758,plain,
% 76.00/47.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1)),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2757, 2756])).
% 76.00/47.81 tff(2759,plain,
% 76.00/47.81 (v130(constB17, bitIndex1)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2758, 1321, 2637])).
% 76.00/47.81 tff(2760,plain,
% 76.00/47.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2761,plain,
% 76.00/47.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2762,plain,
% 76.00/47.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2761, 2760])).
% 76.00/47.81 tff(2763,plain,
% 76.00/47.81 (v26(constB17) | v127(constB17, bitIndex1)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2762, 1031, 2759])).
% 76.00/47.81 tff(2764,plain,
% 76.00/47.81 (v127(constB17, bitIndex1)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2763, 33])).
% 76.00/47.81 tff(2765,plain,
% 76.00/47.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2766,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 76.00/47.81 inference(quant_inst,[status(thm)],[])).
% 76.00/47.81 tff(2767,plain,
% 76.00/47.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 76.00/47.81 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 76.00/47.81 tff(2768,plain,
% 76.00/47.81 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2767, 1046, 2669])).
% 76.00/47.81 tff(2769,plain,
% 76.00/47.81 (v129(constB18, bitIndex1)),
% 76.00/47.81 inference(unit_resolution,[status(thm)],[2768, 2764])).
% 76.00/47.81 tff(2770,plain,
% 76.00/47.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 76.00/47.81 inference(rewrite,[status(thm)],[])).
% 76.00/47.81 tff(2771,plain,
% 76.00/47.81 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2772,plain,
% 76.00/47.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 76.00/47.82 inference(monotonicity,[status(thm)],[2771])).
% 76.00/47.82 tff(2773,plain,
% 76.00/47.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 76.00/47.82 inference(transitivity,[status(thm)],[2772, 2770])).
% 76.00/47.82 tff(2774,plain,
% 76.00/47.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 76.00/47.82 inference(quant_inst,[status(thm)],[])).
% 76.00/47.82 tff(2775,plain,
% 76.00/47.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 76.00/47.82 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 76.00/47.82 tff(2776,plain,
% 76.00/47.82 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2775, 1061, 2769])).
% 76.00/47.82 tff(2777,plain,
% 76.00/47.82 (v90(constB18, bitIndex1)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2776, 2703])).
% 76.00/47.82 tff(2778,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2779,plain,
% 76.00/47.82 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2780,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 76.00/47.82 inference(monotonicity,[status(thm)],[2779])).
% 76.00/47.82 tff(2781,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 76.00/47.82 inference(transitivity,[status(thm)],[2780, 2778])).
% 76.00/47.82 tff(2782,plain,
% 76.00/47.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 76.00/47.82 inference(quant_inst,[status(thm)],[])).
% 76.00/47.82 tff(2783,plain,
% 76.00/47.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 76.00/47.82 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 76.00/47.82 tff(2784,plain,
% 76.00/47.82 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2783, 1079, 2734])).
% 76.00/47.82 tff(2785,plain,
% 76.00/47.82 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2784, 2746])).
% 76.00/47.82 tff(2786,plain,
% 76.00/47.82 (v90(constB19, bitIndex1)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2785, 2777])).
% 76.00/47.82 tff(2787,plain,
% 76.00/47.82 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2788,plain,
% 76.00/47.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))),
% 76.00/47.82 inference(quant_inst,[status(thm)],[])).
% 76.00/47.82 tff(2789,plain,
% 76.00/47.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0)),
% 76.00/47.82 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 76.00/47.82 tff(2790,plain,
% 76.00/47.82 (v130(constB17, bitIndex0)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2789, 1362, 2637])).
% 76.00/47.82 tff(2791,plain,
% 76.00/47.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2792,plain,
% 76.00/47.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 76.00/47.82 inference(quant_inst,[status(thm)],[])).
% 76.00/47.82 tff(2793,plain,
% 76.00/47.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 76.00/47.82 inference(modus_ponens,[status(thm)],[2792, 2791])).
% 76.00/47.82 tff(2794,plain,
% 76.00/47.82 (v26(constB17) | v127(constB17, bitIndex0)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2793, 788, 2790])).
% 76.00/47.82 tff(2795,plain,
% 76.00/47.82 (v127(constB17, bitIndex0)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2794, 33])).
% 76.00/47.82 tff(2796,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2797,plain,
% 76.00/47.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 76.00/47.82 inference(quant_inst,[status(thm)],[])).
% 76.00/47.82 tff(2798,plain,
% 76.00/47.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 76.00/47.82 inference(modus_ponens,[status(thm)],[2797, 2796])).
% 76.00/47.82 tff(2799,plain,
% 76.00/47.82 ((~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2798, 803, 2669])).
% 76.00/47.82 tff(2800,plain,
% 76.00/47.82 (v129(constB18, bitIndex0)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2799, 2795])).
% 76.00/47.82 tff(2801,plain,
% 76.00/47.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2802,plain,
% 76.00/47.82 ((v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2803,plain,
% 76.00/47.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))))),
% 76.00/47.82 inference(monotonicity,[status(thm)],[2802])).
% 76.00/47.82 tff(2804,plain,
% 76.00/47.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 76.00/47.82 inference(transitivity,[status(thm)],[2803, 2801])).
% 76.00/47.82 tff(2805,plain,
% 76.00/47.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))),
% 76.00/47.82 inference(quant_inst,[status(thm)],[])).
% 76.00/47.82 tff(2806,plain,
% 76.00/47.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))),
% 76.00/47.82 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 76.00/47.82 tff(2807,plain,
% 76.00/47.82 (v90(constB18, bitIndex0) | (~v100(constB18))),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2806, 818, 2800])).
% 76.00/47.82 tff(2808,plain,
% 76.00/47.82 (v90(constB18, bitIndex0)),
% 76.00/47.82 inference(unit_resolution,[status(thm)],[2807, 2703])).
% 76.00/47.82 tff(2809,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2810,plain,
% 76.00/47.82 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 76.00/47.82 inference(rewrite,[status(thm)],[])).
% 76.00/47.82 tff(2811,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)))),
% 76.00/47.82 inference(monotonicity,[status(thm)],[2810])).
% 76.00/47.82 tff(2812,plain,
% 76.00/47.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 76.00/47.82 inference(transitivity,[status(thm)],[2811, 2809])).
% 76.00/47.83 tff(2813,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2814,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2813, 2812])).
% 76.00/47.83 tff(2815,plain,
% 76.00/47.83 ((~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2814, 836, 2734])).
% 76.00/47.83 tff(2816,plain,
% 76.00/47.83 ((~v90(constB18, bitIndex0)) | v90(constB19, bitIndex0)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2815, 2746])).
% 76.00/47.83 tff(2817,plain,
% 76.00/47.83 (v90(constB19, bitIndex0)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2816, 2808])).
% 76.00/47.83 tff(2818,plain,
% 76.00/47.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2819,plain,
% 76.00/47.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2820,plain,
% 76.00/47.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19)),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 76.00/47.83 tff(2821,plain,
% 76.00/47.83 (v122(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2820, 1403, 2817, 2786, 2755])).
% 76.00/47.83 tff(2822,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2823,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2824,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 76.00/47.83 tff(2825,plain,
% 76.00/47.83 (v116(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2824, 1470, 2821])).
% 76.00/47.83 tff(2826,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2827,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2828,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 76.00/47.83 tff(2829,plain,
% 76.00/47.83 (v115(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2828, 519, 2825])).
% 76.00/47.83 tff(2830,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2831,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2832,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 76.00/47.83 tff(2833,plain,
% 76.00/47.83 (v114(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2832, 530, 2829])).
% 76.00/47.83 tff(2834,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2835,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2836,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 76.00/47.83 tff(2837,plain,
% 76.00/47.83 (v113(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2836, 541, 2833])).
% 76.00/47.83 tff(2838,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2839,plain,
% 76.00/47.83 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2840,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 76.00/47.83 inference(monotonicity,[status(thm)],[2839])).
% 76.00/47.83 tff(2841,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 76.00/47.83 inference(transitivity,[status(thm)],[2840, 2838])).
% 76.00/47.83 tff(2842,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2843,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 76.00/47.83 tff(2844,plain,
% 76.00/47.83 (v26(constB19) | v112(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2843, 555, 2837])).
% 76.00/47.83 tff(2845,plain,
% 76.00/47.83 (v112(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2844, 29])).
% 76.00/47.83 tff(2846,plain,
% 76.00/47.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2847,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2848,plain,
% 76.00/47.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 76.00/47.83 tff(2849,plain,
% 76.00/47.83 (v108(constB19)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2848, 464, 2845])).
% 76.00/47.83 tff(2850,plain,
% 76.00/47.83 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2851,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 76.00/47.83 tff(2852,plain,
% 76.00/47.83 (nextState(constB19, constB20)),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 76.00/47.83 tff(2853,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2854,plain,
% 76.00/47.83 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2855,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 76.00/47.83 inference(monotonicity,[status(thm)],[2854])).
% 76.00/47.83 tff(2856,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 76.00/47.83 inference(transitivity,[status(thm)],[2855, 2853])).
% 76.00/47.83 tff(2857,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2858,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2857, 2856])).
% 76.00/47.83 tff(2859,plain,
% 76.00/47.83 (v110(constB20) | (~v108(constB19))),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2858, 571, 2852])).
% 76.00/47.83 tff(2860,plain,
% 76.00/47.83 (v110(constB20)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2859, 2849])).
% 76.00/47.83 tff(2861,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2862,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2863,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2862, 2861])).
% 76.00/47.83 tff(2864,plain,
% 76.00/47.83 (~v104(constB20)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2863, 589, 2852, 2731])).
% 76.00/47.83 tff(2865,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2866,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2867,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2866, 2865])).
% 76.00/47.83 tff(2868,plain,
% 76.00/47.83 (v102(constB20) | v104(constB20)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2867, 603, 2852])).
% 76.00/47.83 tff(2869,plain,
% 76.00/47.83 (v102(constB20)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2868, 2864])).
% 76.00/47.83 tff(2870,plain,
% 76.00/47.83 (v1(constB20) <=> v1(constB20)),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2871,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 76.00/47.83 tff(2872,plain,
% 76.00/47.83 (v1(constB20)),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 76.00/47.83 tff(2873,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2874,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2875,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 76.00/47.83 tff(2876,plain,
% 76.00/47.83 (v101(constB20) | (~v102(constB20))),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2875, 621, 2852, 2872])).
% 76.00/47.83 tff(2877,plain,
% 76.00/47.83 (v101(constB20)),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2876, 2869])).
% 76.00/47.83 tff(2878,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2879,plain,
% 76.00/47.83 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 76.00/47.83 inference(rewrite,[status(thm)],[])).
% 76.00/47.83 tff(2880,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 76.00/47.83 inference(monotonicity,[status(thm)],[2879])).
% 76.00/47.83 tff(2881,plain,
% 76.00/47.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 76.00/47.83 inference(transitivity,[status(thm)],[2880, 2878])).
% 76.00/47.83 tff(2882,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 76.00/47.83 inference(quant_inst,[status(thm)],[])).
% 76.00/47.83 tff(2883,plain,
% 76.00/47.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 76.00/47.83 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 76.00/47.83 tff(2884,plain,
% 76.00/47.83 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 76.00/47.83 inference(unit_resolution,[status(thm)],[2883, 636, 2852])).
% 76.00/47.83 tff(2885,plain,
% 76.00/47.83 (v100(constB20) | (~v110(constB20))),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2884, 2877])).
% 76.00/47.84 tff(2886,plain,
% 76.00/47.84 (v100(constB20)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2885, 2860])).
% 76.00/47.84 tff(2887,plain,
% 76.00/47.84 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2888,plain,
% 76.00/47.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2889,plain,
% 76.00/47.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2888, 2887])).
% 76.00/47.84 tff(2890,plain,
% 76.00/47.84 (v130(constB19, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2889, 1417, 2821])).
% 76.00/47.84 tff(2891,plain,
% 76.00/47.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2892,plain,
% 76.00/47.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2893,plain,
% 76.00/47.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2892, 2891])).
% 76.00/47.84 tff(2894,plain,
% 76.00/47.84 (v26(constB19) | v127(constB19, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2893, 1431, 2890])).
% 76.00/47.84 tff(2895,plain,
% 76.00/47.84 (v127(constB19, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2894, 29])).
% 76.00/47.84 tff(2896,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2897,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2898,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 76.00/47.84 tff(2899,plain,
% 76.00/47.84 ((~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2898, 1449, 2852])).
% 76.00/47.84 tff(2900,plain,
% 76.00/47.84 (v129(constB20, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2899, 2895])).
% 76.00/47.84 tff(2901,plain,
% 76.00/47.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2902,plain,
% 76.00/47.84 ((v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2903,plain,
% 76.00/47.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))))),
% 76.00/47.84 inference(monotonicity,[status(thm)],[2902])).
% 76.00/47.84 tff(2904,plain,
% 76.00/47.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 76.00/47.84 inference(transitivity,[status(thm)],[2903, 2901])).
% 76.00/47.84 tff(2905,plain,
% 76.00/47.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2906,plain,
% 76.00/47.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 76.00/47.84 tff(2907,plain,
% 76.00/47.84 (v90(constB20, bitIndex2) | (~v100(constB20))),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2906, 1539, 2900])).
% 76.00/47.84 tff(2908,plain,
% 76.00/47.84 (v90(constB20, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2907, 2886])).
% 76.00/47.84 tff(2909,plain,
% 76.00/47.84 ((~v1(constB21)) <=> (~v1(constB21))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2910,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 76.00/47.84 tff(2911,plain,
% 76.00/47.84 (~v1(constB21)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 76.00/47.84 tff(2912,plain,
% 76.00/47.84 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2913,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 76.00/47.84 tff(2914,plain,
% 76.00/47.84 (nextState(constB20, constB21)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 76.00/47.84 tff(2915,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2916,plain,
% 76.00/47.84 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2917,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 76.00/47.84 inference(monotonicity,[status(thm)],[2916])).
% 76.00/47.84 tff(2918,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 76.00/47.84 inference(transitivity,[status(thm)],[2917, 2915])).
% 76.00/47.84 tff(2919,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2920,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2919, 2918])).
% 76.00/47.84 tff(2921,plain,
% 76.00/47.84 (~v101(constB21)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2920, 307, 2914, 2911])).
% 76.00/47.84 tff(2922,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2923,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2924,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 76.00/47.84 tff(2925,plain,
% 76.00/47.84 (v101(constB21) | (~v100(constB21))),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2924, 324, 2914])).
% 76.00/47.84 tff(2926,plain,
% 76.00/47.84 (~v100(constB21)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2925, 2921])).
% 76.00/47.84 tff(2927,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2928,plain,
% 76.00/47.84 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2929,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)))),
% 76.00/47.84 inference(monotonicity,[status(thm)],[2928])).
% 76.00/47.84 tff(2930,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 76.00/47.84 inference(transitivity,[status(thm)],[2929, 2927])).
% 76.00/47.84 tff(2931,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2932,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2931, 2930])).
% 76.00/47.84 tff(2933,plain,
% 76.00/47.84 ((~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2932, 1575, 2914])).
% 76.00/47.84 tff(2934,plain,
% 76.00/47.84 ((~v90(constB20, bitIndex2)) | v90(constB21, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2933, 2926])).
% 76.00/47.84 tff(2935,plain,
% 76.00/47.84 (v90(constB21, bitIndex2)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2934, 2908])).
% 76.00/47.84 tff(2936,plain,
% 76.00/47.84 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2937,plain,
% 76.00/47.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2938,plain,
% 76.00/47.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1))),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 76.00/47.84 tff(2939,plain,
% 76.00/47.84 (~v130(constB19, bitIndex1)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2938, 1594, 2821])).
% 76.00/47.84 tff(2940,plain,
% 76.00/47.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2941,plain,
% 76.00/47.84 ((v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1))) <=> ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2942,plain,
% 76.00/47.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)))),
% 76.00/47.84 inference(monotonicity,[status(thm)],[2941])).
% 76.00/47.84 tff(2943,plain,
% 76.00/47.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 76.00/47.84 inference(transitivity,[status(thm)],[2942, 2940])).
% 76.00/47.84 tff(2944,plain,
% 76.00/47.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))),
% 76.00/47.84 inference(quant_inst,[status(thm)],[])).
% 76.00/47.84 tff(2945,plain,
% 76.00/47.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)),
% 76.00/47.84 inference(modus_ponens,[status(thm)],[2944, 2943])).
% 76.00/47.84 tff(2946,plain,
% 76.00/47.84 ((~v127(constB19, bitIndex1)) | v26(constB19)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2945, 714, 2939])).
% 76.00/47.84 tff(2947,plain,
% 76.00/47.84 (~v127(constB19, bitIndex1)),
% 76.00/47.84 inference(unit_resolution,[status(thm)],[2946, 29])).
% 76.00/47.84 tff(2948,plain,
% 76.00/47.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 76.00/47.84 inference(rewrite,[status(thm)],[])).
% 76.00/47.84 tff(2949,plain,
% 76.00/47.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(2950,plain,
% 76.00/47.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2949, 2948])).
% 76.00/47.85 tff(2951,plain,
% 76.00/47.85 (v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2950, 732, 2852])).
% 76.00/47.85 tff(2952,plain,
% 76.00/47.85 (~v129(constB20, bitIndex1)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2951, 2947])).
% 76.00/47.85 tff(2953,plain,
% 76.00/47.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2954,plain,
% 76.00/47.85 (((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2955,plain,
% 76.00/47.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))))),
% 76.00/47.85 inference(monotonicity,[status(thm)],[2954])).
% 76.00/47.85 tff(2956,plain,
% 76.00/47.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 76.00/47.85 inference(transitivity,[status(thm)],[2955, 2953])).
% 76.00/47.85 tff(2957,plain,
% 76.00/47.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(2958,plain,
% 76.00/47.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2957, 2956])).
% 76.00/47.85 tff(2959,plain,
% 76.00/47.85 ((~v90(constB20, bitIndex1)) | (~v100(constB20))),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2958, 747, 2952])).
% 76.00/47.85 tff(2960,plain,
% 76.00/47.85 (~v90(constB20, bitIndex1)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2959, 2886])).
% 76.00/47.85 tff(2961,plain,
% 76.00/47.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2962,plain,
% 76.00/47.85 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2963,plain,
% 76.00/47.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))))),
% 76.00/47.85 inference(monotonicity,[status(thm)],[2962])).
% 76.00/47.85 tff(2964,plain,
% 76.00/47.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 76.00/47.85 inference(transitivity,[status(thm)],[2963, 2961])).
% 76.00/47.85 tff(2965,plain,
% 76.00/47.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(2966,plain,
% 76.00/47.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 76.00/47.85 tff(2967,plain,
% 76.00/47.85 (v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2966, 360, 2914])).
% 76.00/47.85 tff(2968,plain,
% 76.00/47.85 (v90(constB20, bitIndex1) | (~v90(constB21, bitIndex1))),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2967, 2926])).
% 76.00/47.85 tff(2969,plain,
% 76.00/47.85 (~v90(constB21, bitIndex1)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2968, 2960])).
% 76.00/47.85 tff(2970,assumption,(v127(constB19, bitIndex0)), introduced(assumption)).
% 76.00/47.85 tff(2971,plain,
% 76.00/47.85 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2972,plain,
% 76.00/47.85 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(2973,plain,
% 76.00/47.85 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 76.00/47.85 tff(2974,plain,
% 76.00/47.85 (~v130(constB19, bitIndex0)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2973, 1638, 2821])).
% 76.00/47.85 tff(2975,plain,
% 76.00/47.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2976,plain,
% 76.00/47.85 ((v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0))) <=> ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2977,plain,
% 76.00/47.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)))),
% 76.00/47.85 inference(monotonicity,[status(thm)],[2976])).
% 76.00/47.85 tff(2978,plain,
% 76.00/47.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 76.00/47.85 inference(transitivity,[status(thm)],[2977, 2975])).
% 76.00/47.85 tff(2979,plain,
% 76.00/47.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(2980,plain,
% 76.00/47.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2979, 2978])).
% 76.00/47.85 tff(2981,plain,
% 76.00/47.85 ((~v127(constB19, bitIndex0)) | v26(constB19)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2980, 1112, 2974])).
% 76.00/47.85 tff(2982,plain,
% 76.00/47.85 (v26(constB19)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2981, 2970])).
% 76.00/47.85 tff(2983,plain,
% 76.00/47.85 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 76.00/47.85 inference(bind,[status(th)],[])).
% 76.00/47.85 tff(2984,plain,
% 76.00/47.85 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(quant_intro,[status(thm)],[2983])).
% 76.00/47.85 tff(2985,plain,
% 76.00/47.85 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2986,plain,
% 76.00/47.85 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 76.00/47.85 inference(bind,[status(th)],[])).
% 76.00/47.85 tff(2987,plain,
% 76.00/47.85 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(quant_intro,[status(thm)],[2986])).
% 76.00/47.85 tff(2988,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 76.00/47.85 tff(2989,plain,
% 76.00/47.85 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2988, 2987])).
% 76.00/47.85 tff(2990,plain,
% 76.00/47.85 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2989, 2985])).
% 76.00/47.85 tff(2991,plain,(
% 76.00/47.85 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(skolemize,[status(sab)],[2990])).
% 76.00/47.85 tff(2992,plain,
% 76.00/47.85 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2991, 2984])).
% 76.00/47.85 tff(2993,plain,
% 76.00/47.85 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB19)) | (~v127(constB19, bitIndex0)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2994,plain,
% 76.00/47.85 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex0)))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(2995,plain,
% 76.00/47.85 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB19)) | (~v127(constB19, bitIndex0))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 76.00/47.85 tff(2996,plain,
% 76.00/47.85 ($false),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[2995, 2992, 2970, 2982])).
% 76.00/47.85 tff(2997,plain,(~v127(constB19, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 76.00/47.85 tff(2998,plain,
% 76.00/47.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(2999,plain,
% 76.00/47.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(3000,plain,
% 76.00/47.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 76.00/47.85 tff(3001,plain,
% 76.00/47.85 (v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[3000, 1130, 2852])).
% 76.00/47.85 tff(3002,plain,
% 76.00/47.85 (~v129(constB20, bitIndex0)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[3001, 2997])).
% 76.00/47.85 tff(3003,plain,
% 76.00/47.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(3004,plain,
% 76.00/47.85 (((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(3005,plain,
% 76.00/47.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))))),
% 76.00/47.85 inference(monotonicity,[status(thm)],[3004])).
% 76.00/47.85 tff(3006,plain,
% 76.00/47.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 76.00/47.85 inference(transitivity,[status(thm)],[3005, 3003])).
% 76.00/47.85 tff(3007,plain,
% 76.00/47.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))),
% 76.00/47.85 inference(quant_inst,[status(thm)],[])).
% 76.00/47.85 tff(3008,plain,
% 76.00/47.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))),
% 76.00/47.85 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 76.00/47.85 tff(3009,plain,
% 76.00/47.85 ((~v90(constB20, bitIndex0)) | (~v100(constB20))),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[3008, 1145, 3002])).
% 76.00/47.85 tff(3010,plain,
% 76.00/47.85 (~v90(constB20, bitIndex0)),
% 76.00/47.85 inference(unit_resolution,[status(thm)],[3009, 2886])).
% 76.00/47.85 tff(3011,plain,
% 76.00/47.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(3012,plain,
% 76.00/47.85 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 76.00/47.85 inference(rewrite,[status(thm)],[])).
% 76.00/47.85 tff(3013,plain,
% 76.00/47.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))))),
% 76.00/47.86 inference(monotonicity,[status(thm)],[3012])).
% 76.00/47.86 tff(3014,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 76.00/47.86 inference(transitivity,[status(thm)],[3013, 3011])).
% 76.00/47.86 tff(3015,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3016,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 76.00/47.86 tff(3017,plain,
% 76.00/47.86 (v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3016, 381, 2914])).
% 76.00/47.86 tff(3018,plain,
% 76.00/47.86 (v90(constB20, bitIndex0) | (~v90(constB21, bitIndex0))),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3017, 2926])).
% 76.00/47.86 tff(3019,plain,
% 76.00/47.86 (~v90(constB21, bitIndex0)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3018, 3010])).
% 76.00/47.86 tff(3020,plain,
% 76.00/47.86 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3021,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3022,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21)),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 76.00/47.86 tff(3023,plain,
% 76.00/47.86 (v123(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3022, 1682, 3019, 2969, 2935])).
% 76.00/47.86 tff(3024,plain,
% 76.00/47.86 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3025,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3026,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 76.00/47.86 tff(3027,plain,
% 76.00/47.86 (v115(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3026, 1693, 3023])).
% 76.00/47.86 tff(3028,plain,
% 76.00/47.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3029,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3030,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 76.00/47.86 tff(3031,plain,
% 76.00/47.86 (v114(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3030, 530, 3027])).
% 76.00/47.86 tff(3032,plain,
% 76.00/47.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3033,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3034,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 76.00/47.86 tff(3035,plain,
% 76.00/47.86 (v113(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3034, 541, 3031])).
% 76.00/47.86 tff(3036,assumption,(v26(constB21)), introduced(assumption)).
% 76.00/47.86 tff(3037,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3038,plain,
% 76.00/47.86 ($false),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3037, 14, 3036])).
% 76.00/47.86 tff(3039,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 76.00/47.86 tff(3040,plain,
% 76.00/47.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3041,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3042,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21)),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 76.00/47.86 tff(3043,plain,
% 76.00/47.86 ((~v113(constB21)) | v112(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3042, 555, 3039])).
% 76.00/47.86 tff(3044,plain,
% 76.00/47.86 (v112(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3043, 3035])).
% 76.00/47.86 tff(3045,plain,
% 76.00/47.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3046,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3047,plain,
% 76.00/47.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 76.00/47.86 tff(3048,plain,
% 76.00/47.86 (v108(constB21)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3047, 464, 3044])).
% 76.00/47.86 tff(3049,plain,
% 76.00/47.86 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3050,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 76.00/47.86 tff(3051,plain,
% 76.00/47.86 (nextState(constB21, constB22)),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 76.00/47.86 tff(3052,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3053,plain,
% 76.00/47.86 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3054,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 76.00/47.86 inference(monotonicity,[status(thm)],[3053])).
% 76.00/47.86 tff(3055,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 76.00/47.86 inference(transitivity,[status(thm)],[3054, 3052])).
% 76.00/47.86 tff(3056,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3057,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 76.00/47.86 tff(3058,plain,
% 76.00/47.86 (v110(constB22) | (~v108(constB21))),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3057, 571, 3051])).
% 76.00/47.86 tff(3059,plain,
% 76.00/47.86 (v110(constB22)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3058, 3048])).
% 76.00/47.86 tff(3060,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3061,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3062,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3061, 3060])).
% 76.00/47.86 tff(3063,plain,
% 76.00/47.86 (~v104(constB22)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3062, 589, 3051, 2911])).
% 76.00/47.86 tff(3064,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3065,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3066,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3065, 3064])).
% 76.00/47.86 tff(3067,plain,
% 76.00/47.86 (v102(constB22) | v104(constB22)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3066, 603, 3051])).
% 76.00/47.86 tff(3068,plain,
% 76.00/47.86 (v102(constB22)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3067, 3063])).
% 76.00/47.86 tff(3069,plain,
% 76.00/47.86 (v1(constB22) <=> v1(constB22)),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3070,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 76.00/47.86 tff(3071,plain,
% 76.00/47.86 (v1(constB22)),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 76.00/47.86 tff(3072,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3073,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3074,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 76.00/47.86 tff(3075,plain,
% 76.00/47.86 (v101(constB22) | (~v102(constB22))),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3074, 621, 3051, 3071])).
% 76.00/47.86 tff(3076,plain,
% 76.00/47.86 (v101(constB22)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3075, 3068])).
% 76.00/47.86 tff(3077,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3078,plain,
% 76.00/47.86 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 76.00/47.86 inference(rewrite,[status(thm)],[])).
% 76.00/47.86 tff(3079,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 76.00/47.86 inference(monotonicity,[status(thm)],[3078])).
% 76.00/47.86 tff(3080,plain,
% 76.00/47.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 76.00/47.86 inference(transitivity,[status(thm)],[3079, 3077])).
% 76.00/47.86 tff(3081,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 76.00/47.86 inference(quant_inst,[status(thm)],[])).
% 76.00/47.86 tff(3082,plain,
% 76.00/47.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 76.00/47.86 inference(modus_ponens,[status(thm)],[3081, 3080])).
% 76.00/47.86 tff(3083,plain,
% 76.00/47.86 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3082, 636, 3051])).
% 76.00/47.86 tff(3084,plain,
% 76.00/47.86 (v100(constB22) | (~v110(constB22))),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3083, 3076])).
% 76.00/47.86 tff(3085,plain,
% 76.00/47.86 (v100(constB22)),
% 76.00/47.86 inference(unit_resolution,[status(thm)],[3084, 3059])).
% 76.00/47.86 tff(3086,plain,
% 76.00/47.86 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3087,plain,
% 76.00/47.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3088,plain,
% 76.00/47.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2)),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 76.00/47.87 tff(3089,plain,
% 76.00/47.87 (v130(constB21, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3088, 1877, 3023])).
% 76.00/47.87 tff(3090,plain,
% 76.00/47.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3091,plain,
% 76.00/47.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3092,plain,
% 76.00/47.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 76.00/47.87 tff(3093,plain,
% 76.00/47.87 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3092, 1431, 3039])).
% 76.00/47.87 tff(3094,plain,
% 76.00/47.87 (v127(constB21, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3093, 3089])).
% 76.00/47.87 tff(3095,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3096,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3097,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 76.00/47.87 tff(3098,plain,
% 76.00/47.87 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3097, 1449, 3051])).
% 76.00/47.87 tff(3099,plain,
% 76.00/47.87 (v129(constB22, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3098, 3094])).
% 76.00/47.87 tff(3100,plain,
% 76.00/47.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3101,plain,
% 76.00/47.87 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3102,plain,
% 76.00/47.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 76.00/47.87 inference(monotonicity,[status(thm)],[3101])).
% 76.00/47.87 tff(3103,plain,
% 76.00/47.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 76.00/47.87 inference(transitivity,[status(thm)],[3102, 3100])).
% 76.00/47.87 tff(3104,plain,
% 76.00/47.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3105,plain,
% 76.00/47.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 76.00/47.87 tff(3106,plain,
% 76.00/47.87 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3105, 1539, 3099])).
% 76.00/47.87 tff(3107,plain,
% 76.00/47.87 (v90(constB22, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3106, 3085])).
% 76.00/47.87 tff(3108,plain,
% 76.00/47.87 ((~v1(constB23)) <=> (~v1(constB23))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3109,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 76.00/47.87 tff(3110,plain,
% 76.00/47.87 (~v1(constB23)),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 76.00/47.87 tff(3111,plain,
% 76.00/47.87 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3112,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 76.00/47.87 tff(3113,plain,
% 76.00/47.87 (nextState(constB22, constB23)),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 76.00/47.87 tff(3114,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3115,plain,
% 76.00/47.87 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3116,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 76.00/47.87 inference(monotonicity,[status(thm)],[3115])).
% 76.00/47.87 tff(3117,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 76.00/47.87 inference(transitivity,[status(thm)],[3116, 3114])).
% 76.00/47.87 tff(3118,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3119,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 76.00/47.87 tff(3120,plain,
% 76.00/47.87 (~v101(constB23)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3119, 307, 3113, 3110])).
% 76.00/47.87 tff(3121,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3122,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3123,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 76.00/47.87 tff(3124,plain,
% 76.00/47.87 (v101(constB23) | (~v100(constB23))),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3123, 324, 3113])).
% 76.00/47.87 tff(3125,plain,
% 76.00/47.87 (~v100(constB23)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3124, 3120])).
% 76.00/47.87 tff(3126,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3127,plain,
% 76.00/47.87 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 76.00/47.87 inference(rewrite,[status(thm)],[])).
% 76.00/47.87 tff(3128,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 76.00/47.87 inference(monotonicity,[status(thm)],[3127])).
% 76.00/47.87 tff(3129,plain,
% 76.00/47.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 76.00/47.87 inference(transitivity,[status(thm)],[3128, 3126])).
% 76.00/47.87 tff(3130,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 76.00/47.87 inference(quant_inst,[status(thm)],[])).
% 76.00/47.87 tff(3131,plain,
% 76.00/47.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 76.00/47.87 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 76.00/47.87 tff(3132,plain,
% 76.00/47.87 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3131, 1575, 3113])).
% 76.00/47.87 tff(3133,plain,
% 76.00/47.87 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 76.00/47.87 inference(unit_resolution,[status(thm)],[3132, 3125])).
% 76.00/47.87 tff(3134,plain,
% 76.00/47.87 (v90(constB23, bitIndex2)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3133, 3107])).
% 76.00/47.88 tff(3135,plain,
% 76.00/47.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3136,plain,
% 76.00/47.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3137,plain,
% 76.00/47.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1))),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3136, 3135])).
% 76.00/47.88 tff(3138,plain,
% 76.00/47.88 (~v130(constB21, bitIndex1)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3137, 1765, 3023])).
% 76.00/47.88 tff(3139,plain,
% 76.00/47.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3140,plain,
% 76.00/47.88 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3141,plain,
% 76.00/47.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 76.00/47.88 inference(monotonicity,[status(thm)],[3140])).
% 76.00/47.88 tff(3142,plain,
% 76.00/47.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 76.00/47.88 inference(transitivity,[status(thm)],[3141, 3139])).
% 76.00/47.88 tff(3143,plain,
% 76.00/47.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3144,plain,
% 76.00/47.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 76.00/47.88 tff(3145,plain,
% 76.00/47.88 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3144, 714, 3039])).
% 76.00/47.88 tff(3146,plain,
% 76.00/47.88 (~v127(constB21, bitIndex1)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3145, 3138])).
% 76.00/47.88 tff(3147,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3148,plain,
% 76.00/47.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3149,plain,
% 76.00/47.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3148, 3147])).
% 76.00/47.88 tff(3150,plain,
% 76.00/47.88 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3149, 732, 3051])).
% 76.00/47.88 tff(3151,plain,
% 76.00/47.88 (~v129(constB22, bitIndex1)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3150, 3146])).
% 76.00/47.88 tff(3152,plain,
% 76.00/47.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3153,plain,
% 76.00/47.88 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3154,plain,
% 76.00/47.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 76.00/47.88 inference(monotonicity,[status(thm)],[3153])).
% 76.00/47.88 tff(3155,plain,
% 76.00/47.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 76.00/47.88 inference(transitivity,[status(thm)],[3154, 3152])).
% 76.00/47.88 tff(3156,plain,
% 76.00/47.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3157,plain,
% 76.00/47.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3156, 3155])).
% 76.00/47.88 tff(3158,plain,
% 76.00/47.88 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3157, 747, 3151])).
% 76.00/47.88 tff(3159,plain,
% 76.00/47.88 (~v90(constB22, bitIndex1)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3158, 3085])).
% 76.00/47.88 tff(3160,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3161,plain,
% 76.00/47.88 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3162,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 76.00/47.88 inference(monotonicity,[status(thm)],[3161])).
% 76.00/47.88 tff(3163,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 76.00/47.88 inference(transitivity,[status(thm)],[3162, 3160])).
% 76.00/47.88 tff(3164,plain,
% 76.00/47.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3165,plain,
% 76.00/47.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 76.00/47.88 tff(3166,plain,
% 76.00/47.88 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3165, 360, 3113])).
% 76.00/47.88 tff(3167,plain,
% 76.00/47.88 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3166, 3125])).
% 76.00/47.88 tff(3168,plain,
% 76.00/47.88 (~v90(constB23, bitIndex1)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3167, 3159])).
% 76.00/47.88 tff(3169,plain,
% 76.00/47.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3170,plain,
% 76.00/47.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3171,plain,
% 76.00/47.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0)),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 76.00/47.88 tff(3172,plain,
% 76.00/47.88 (v130(constB21, bitIndex0)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3171, 1836, 3023])).
% 76.00/47.88 tff(3173,plain,
% 76.00/47.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3174,plain,
% 76.00/47.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3175,plain,
% 76.00/47.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3174, 3173])).
% 76.00/47.88 tff(3176,plain,
% 76.00/47.88 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3175, 788, 3039])).
% 76.00/47.88 tff(3177,plain,
% 76.00/47.88 (v127(constB21, bitIndex0)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3176, 3172])).
% 76.00/47.88 tff(3178,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3179,plain,
% 76.00/47.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3180,plain,
% 76.00/47.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 76.00/47.88 tff(3181,plain,
% 76.00/47.88 ((~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3180, 803, 3051])).
% 76.00/47.88 tff(3182,plain,
% 76.00/47.88 (v129(constB22, bitIndex0)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3181, 3177])).
% 76.00/47.88 tff(3183,plain,
% 76.00/47.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3184,plain,
% 76.00/47.88 ((v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3185,plain,
% 76.00/47.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))))),
% 76.00/47.88 inference(monotonicity,[status(thm)],[3184])).
% 76.00/47.88 tff(3186,plain,
% 76.00/47.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 76.00/47.88 inference(transitivity,[status(thm)],[3185, 3183])).
% 76.00/47.88 tff(3187,plain,
% 76.00/47.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))),
% 76.00/47.88 inference(quant_inst,[status(thm)],[])).
% 76.00/47.88 tff(3188,plain,
% 76.00/47.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 76.00/47.88 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 76.00/47.88 tff(3189,plain,
% 76.00/47.88 (v90(constB22, bitIndex0) | (~v100(constB22))),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3188, 818, 3182])).
% 76.00/47.88 tff(3190,plain,
% 76.00/47.88 (v90(constB22, bitIndex0)),
% 76.00/47.88 inference(unit_resolution,[status(thm)],[3189, 3085])).
% 76.00/47.88 tff(3191,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3192,plain,
% 76.00/47.88 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 76.00/47.88 inference(rewrite,[status(thm)],[])).
% 76.00/47.88 tff(3193,plain,
% 76.00/47.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)))),
% 76.00/47.89 inference(monotonicity,[status(thm)],[3192])).
% 76.00/47.89 tff(3194,plain,
% 76.00/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 76.00/47.89 inference(transitivity,[status(thm)],[3193, 3191])).
% 76.00/47.89 tff(3195,plain,
% 76.00/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3196,plain,
% 76.00/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 76.00/47.89 tff(3197,plain,
% 76.00/47.89 ((~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3196, 836, 3113])).
% 76.00/47.89 tff(3198,plain,
% 76.00/47.89 ((~v90(constB22, bitIndex0)) | v90(constB23, bitIndex0)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3197, 3125])).
% 76.00/47.89 tff(3199,plain,
% 76.00/47.89 (v90(constB23, bitIndex0)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3198, 3190])).
% 76.00/47.89 tff(3200,plain,
% 76.00/47.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3201,plain,
% 76.00/47.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3202,plain,
% 76.00/47.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3201, 3200])).
% 76.00/47.89 tff(3203,plain,
% 76.00/47.89 (v124(constB23)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3202, 1919, 3199, 3168, 3134])).
% 76.00/47.89 tff(3204,plain,
% 76.00/47.89 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23)))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3205,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3206,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23))),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 76.00/47.89 tff(3207,plain,
% 76.00/47.89 (v114(constB23)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3206, 1951, 3203])).
% 76.00/47.89 tff(3208,plain,
% 76.00/47.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23)))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3209,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3210,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23))),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 76.00/47.89 tff(3211,plain,
% 76.00/47.89 (v113(constB23)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3210, 541, 3207])).
% 76.00/47.89 tff(3212,assumption,(v26(constB23)), introduced(assumption)).
% 76.00/47.89 tff(3213,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3214,plain,
% 76.00/47.89 ($false),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3213, 14, 3212])).
% 76.00/47.89 tff(3215,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 76.00/47.89 tff(3216,plain,
% 76.00/47.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3217,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3218,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23)),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 76.00/47.89 tff(3219,plain,
% 76.00/47.89 ((~v113(constB23)) | v112(constB23)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3218, 555, 3215])).
% 76.00/47.89 tff(3220,plain,
% 76.00/47.89 (v112(constB23)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3219, 3211])).
% 76.00/47.89 tff(3221,plain,
% 76.00/47.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23)))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3222,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))),
% 76.00/47.89 inference(quant_inst,[status(thm)],[])).
% 76.00/47.89 tff(3223,plain,
% 76.00/47.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23))),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 76.00/47.89 tff(3224,plain,
% 76.00/47.89 (v108(constB23)),
% 76.00/47.89 inference(unit_resolution,[status(thm)],[3223, 464, 3220])).
% 76.00/47.89 tff(3225,plain,
% 76.00/47.89 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3226,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 76.00/47.89 tff(3227,plain,
% 76.00/47.89 (nextState(constB23, constB24)),
% 76.00/47.89 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 76.00/47.89 tff(3228,plain,
% 76.00/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3229,plain,
% 76.00/47.89 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 76.00/47.89 inference(rewrite,[status(thm)],[])).
% 76.00/47.89 tff(3230,plain,
% 76.00/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 76.00/47.89 inference(monotonicity,[status(thm)],[3229])).
% 76.00/47.89 tff(3231,plain,
% 76.00/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 76.09/47.89 inference(transitivity,[status(thm)],[3230, 3228])).
% 76.09/47.89 tff(3232,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 76.09/47.89 inference(quant_inst,[status(thm)],[])).
% 76.09/47.89 tff(3233,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3232, 3231])).
% 76.09/47.89 tff(3234,plain,
% 76.09/47.89 (v110(constB24) | (~v108(constB23))),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3233, 571, 3227])).
% 76.09/47.89 tff(3235,plain,
% 76.09/47.89 (v110(constB24)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3234, 3224])).
% 76.09/47.89 tff(3236,plain,
% 76.09/47.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3237,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 76.09/47.89 inference(quant_inst,[status(thm)],[])).
% 76.09/47.89 tff(3238,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3237, 3236])).
% 76.09/47.89 tff(3239,plain,
% 76.09/47.89 (~v104(constB24)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3238, 589, 3227, 3110])).
% 76.09/47.89 tff(3240,plain,
% 76.09/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3241,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 76.09/47.89 inference(quant_inst,[status(thm)],[])).
% 76.09/47.89 tff(3242,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 76.09/47.89 tff(3243,plain,
% 76.09/47.89 (v102(constB24) | v104(constB24)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3242, 603, 3227])).
% 76.09/47.89 tff(3244,plain,
% 76.09/47.89 (v102(constB24)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3243, 3239])).
% 76.09/47.89 tff(3245,plain,
% 76.09/47.89 (v1(constB24) <=> v1(constB24)),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3246,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 76.09/47.89 tff(3247,plain,
% 76.09/47.89 (v1(constB24)),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 76.09/47.89 tff(3248,plain,
% 76.09/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3249,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 76.09/47.89 inference(quant_inst,[status(thm)],[])).
% 76.09/47.89 tff(3250,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3249, 3248])).
% 76.09/47.89 tff(3251,plain,
% 76.09/47.89 (v101(constB24) | (~v102(constB24))),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3250, 621, 3227, 3247])).
% 76.09/47.89 tff(3252,plain,
% 76.09/47.89 (v101(constB24)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3251, 3244])).
% 76.09/47.89 tff(3253,plain,
% 76.09/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3254,plain,
% 76.09/47.89 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3255,plain,
% 76.09/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 76.09/47.89 inference(monotonicity,[status(thm)],[3254])).
% 76.09/47.89 tff(3256,plain,
% 76.09/47.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 76.09/47.89 inference(transitivity,[status(thm)],[3255, 3253])).
% 76.09/47.89 tff(3257,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 76.09/47.89 inference(quant_inst,[status(thm)],[])).
% 76.09/47.89 tff(3258,plain,
% 76.09/47.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 76.09/47.89 tff(3259,plain,
% 76.09/47.89 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3258, 636, 3227])).
% 76.09/47.89 tff(3260,plain,
% 76.09/47.89 (v100(constB24) | (~v110(constB24))),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3259, 3252])).
% 76.09/47.89 tff(3261,plain,
% 76.09/47.89 (v100(constB24)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3260, 3235])).
% 76.09/47.89 tff(3262,plain,
% 76.09/47.89 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2))),
% 76.09/47.89 inference(rewrite,[status(thm)],[])).
% 76.09/47.89 tff(3263,plain,
% 76.09/47.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))),
% 76.09/47.89 inference(quant_inst,[status(thm)],[])).
% 76.09/47.89 tff(3264,plain,
% 76.09/47.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2)),
% 76.09/47.89 inference(modus_ponens,[status(thm)],[3263, 3262])).
% 76.09/47.89 tff(3265,plain,
% 76.09/47.89 (v130(constB23, bitIndex2)),
% 76.09/47.89 inference(unit_resolution,[status(thm)],[3264, 2050, 3203])).
% 76.09/47.90 tff(3266,plain,
% 76.09/47.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3267,plain,
% 76.09/47.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3268,plain,
% 76.09/47.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3267, 3266])).
% 76.09/47.90 tff(3269,plain,
% 76.09/47.90 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3268, 1431, 3215])).
% 76.09/47.90 tff(3270,plain,
% 76.09/47.90 (v127(constB23, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3269, 3265])).
% 76.09/47.90 tff(3271,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3272,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3273,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3272, 3271])).
% 76.09/47.90 tff(3274,plain,
% 76.09/47.90 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3273, 1449, 3227])).
% 76.09/47.90 tff(3275,plain,
% 76.09/47.90 (v129(constB24, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3274, 3270])).
% 76.09/47.90 tff(3276,plain,
% 76.09/47.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3277,plain,
% 76.09/47.90 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3278,plain,
% 76.09/47.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 76.09/47.90 inference(monotonicity,[status(thm)],[3277])).
% 76.09/47.90 tff(3279,plain,
% 76.09/47.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 76.09/47.90 inference(transitivity,[status(thm)],[3278, 3276])).
% 76.09/47.90 tff(3280,plain,
% 76.09/47.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3281,plain,
% 76.09/47.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3280, 3279])).
% 76.09/47.90 tff(3282,plain,
% 76.09/47.90 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3281, 1539, 3275])).
% 76.09/47.90 tff(3283,plain,
% 76.09/47.90 (v90(constB24, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3282, 3261])).
% 76.09/47.90 tff(3284,plain,
% 76.09/47.90 ((~v1(constB25)) <=> (~v1(constB25))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3285,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 76.09/47.90 tff(3286,plain,
% 76.09/47.90 (~v1(constB25)),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 76.09/47.90 tff(3287,plain,
% 76.09/47.90 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3288,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 76.09/47.90 tff(3289,plain,
% 76.09/47.90 (nextState(constB24, constB25)),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 76.09/47.90 tff(3290,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3291,plain,
% 76.09/47.90 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3292,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 76.09/47.90 inference(monotonicity,[status(thm)],[3291])).
% 76.09/47.90 tff(3293,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 76.09/47.90 inference(transitivity,[status(thm)],[3292, 3290])).
% 76.09/47.90 tff(3294,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3295,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 76.09/47.90 tff(3296,plain,
% 76.09/47.90 (~v101(constB25)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3295, 307, 3289, 3286])).
% 76.09/47.90 tff(3297,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3298,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3299,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3298, 3297])).
% 76.09/47.90 tff(3300,plain,
% 76.09/47.90 (v101(constB25) | (~v100(constB25))),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3299, 324, 3289])).
% 76.09/47.90 tff(3301,plain,
% 76.09/47.90 (~v100(constB25)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3300, 3296])).
% 76.09/47.90 tff(3302,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3303,plain,
% 76.09/47.90 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3304,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 76.09/47.90 inference(monotonicity,[status(thm)],[3303])).
% 76.09/47.90 tff(3305,plain,
% 76.09/47.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 76.09/47.90 inference(transitivity,[status(thm)],[3304, 3302])).
% 76.09/47.90 tff(3306,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3307,plain,
% 76.09/47.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 76.09/47.90 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 76.09/47.90 tff(3308,plain,
% 76.09/47.90 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3307, 1575, 3289])).
% 76.09/47.90 tff(3309,plain,
% 76.09/47.90 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3308, 3301])).
% 76.09/47.90 tff(3310,plain,
% 76.09/47.90 (v90(constB25, bitIndex2)),
% 76.09/47.90 inference(unit_resolution,[status(thm)],[3309, 3283])).
% 76.09/47.90 tff(3311,plain,
% 76.09/47.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 76.09/47.90 inference(rewrite,[status(thm)],[])).
% 76.09/47.90 tff(3312,plain,
% 76.09/47.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 76.09/47.90 inference(quant_inst,[status(thm)],[])).
% 76.09/47.90 tff(3313,plain,
% 76.09/47.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25))),
% 76.09/47.91 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 76.09/47.91 tff(3314,plain,
% 76.09/47.91 (~v121(constB25)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3313, 2218, 3310])).
% 76.09/47.91 tff(3315,plain,
% 76.09/47.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3316,plain,
% 76.09/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 76.09/47.91 inference(quant_inst,[status(thm)],[])).
% 76.09/47.91 tff(3317,plain,
% 76.09/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25))),
% 76.09/47.91 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 76.09/47.91 tff(3318,plain,
% 76.09/47.91 (~v122(constB25)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3317, 2229, 3310])).
% 76.09/47.91 tff(3319,plain,
% 76.09/47.91 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3320,plain,
% 76.09/47.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))),
% 76.09/47.91 inference(quant_inst,[status(thm)],[])).
% 76.09/47.91 tff(3321,plain,
% 76.09/47.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1)),
% 76.09/47.91 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 76.09/47.91 tff(3322,plain,
% 76.09/47.91 (v130(constB23, bitIndex1)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3321, 1936, 3203])).
% 76.09/47.91 tff(3323,plain,
% 76.09/47.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3324,plain,
% 76.09/47.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 76.09/47.91 inference(quant_inst,[status(thm)],[])).
% 76.09/47.91 tff(3325,plain,
% 76.09/47.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 76.09/47.91 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 76.09/47.91 tff(3326,plain,
% 76.09/47.91 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3325, 1031, 3215])).
% 76.09/47.91 tff(3327,plain,
% 76.09/47.91 (v127(constB23, bitIndex1)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3326, 3322])).
% 76.09/47.91 tff(3328,plain,
% 76.09/47.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3329,plain,
% 76.09/47.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 76.09/47.91 inference(quant_inst,[status(thm)],[])).
% 76.09/47.91 tff(3330,plain,
% 76.09/47.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 76.09/47.91 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 76.09/47.91 tff(3331,plain,
% 76.09/47.91 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3330, 1046, 3227])).
% 76.09/47.91 tff(3332,plain,
% 76.09/47.91 (v129(constB24, bitIndex1)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3331, 3327])).
% 76.09/47.91 tff(3333,plain,
% 76.09/47.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3334,plain,
% 76.09/47.91 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3335,plain,
% 76.09/47.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 76.09/47.91 inference(monotonicity,[status(thm)],[3334])).
% 76.09/47.91 tff(3336,plain,
% 76.09/47.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 76.09/47.91 inference(transitivity,[status(thm)],[3335, 3333])).
% 76.09/47.91 tff(3337,plain,
% 76.09/47.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 76.09/47.91 inference(quant_inst,[status(thm)],[])).
% 76.09/47.91 tff(3338,plain,
% 76.09/47.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 76.09/47.91 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 76.09/47.91 tff(3339,plain,
% 76.09/47.91 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3338, 1061, 3332])).
% 76.09/47.91 tff(3340,plain,
% 76.09/47.91 (v90(constB24, bitIndex1)),
% 76.09/47.91 inference(unit_resolution,[status(thm)],[3339, 3261])).
% 76.09/47.91 tff(3341,plain,
% 76.09/47.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3342,plain,
% 76.09/47.91 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 76.09/47.91 inference(rewrite,[status(thm)],[])).
% 76.09/47.91 tff(3343,plain,
% 76.09/47.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 76.09/47.91 inference(monotonicity,[status(thm)],[3342])).
% 76.09/47.91 tff(3344,plain,
% 76.09/47.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 76.11/47.91 inference(transitivity,[status(thm)],[3343, 3341])).
% 76.11/47.91 tff(3345,plain,
% 76.11/47.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 76.11/47.91 inference(quant_inst,[status(thm)],[])).
% 76.11/47.91 tff(3346,plain,
% 76.11/47.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 76.11/47.91 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 76.11/47.91 tff(3347,plain,
% 76.11/47.91 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3346, 1079, 3289])).
% 76.11/47.91 tff(3348,plain,
% 76.11/47.91 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3347, 3301])).
% 76.11/47.91 tff(3349,plain,
% 76.11/47.91 (v90(constB25, bitIndex1)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3348, 3340])).
% 76.11/47.91 tff(3350,plain,
% 76.11/47.91 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3351,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 76.11/47.91 inference(quant_inst,[status(thm)],[])).
% 76.11/47.91 tff(3352,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 76.11/47.91 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 76.11/47.91 tff(3353,plain,
% 76.11/47.91 (~v119(constB25)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3352, 2243, 3349])).
% 76.11/47.91 tff(3354,plain,
% 76.11/47.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3355,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 76.11/47.91 inference(quant_inst,[status(thm)],[])).
% 76.11/47.91 tff(3356,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25))),
% 76.11/47.91 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 76.11/47.91 tff(3357,plain,
% 76.11/47.91 (~v120(constB25)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3356, 2254, 3349])).
% 76.11/47.91 tff(3358,plain,
% 76.11/47.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3359,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 76.11/47.91 inference(quant_inst,[status(thm)],[])).
% 76.11/47.91 tff(3360,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25))),
% 76.11/47.91 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 76.11/47.91 tff(3361,plain,
% 76.11/47.91 (~v123(constB25)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3360, 2265, 3349])).
% 76.11/47.91 tff(3362,plain,
% 76.11/47.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3363,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 76.11/47.91 inference(quant_inst,[status(thm)],[])).
% 76.11/47.91 tff(3364,plain,
% 76.11/47.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25))),
% 76.11/47.91 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 76.11/47.91 tff(3365,plain,
% 76.11/47.91 (~v124(constB25)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3364, 2276, 3349])).
% 76.11/47.91 tff(3366,plain,
% 76.11/47.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex2)))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3367,plain,
% 76.11/47.91 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))) <=> (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex2)))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3368,plain,
% 76.11/47.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex2))))),
% 76.11/47.91 inference(monotonicity,[status(thm)],[3367])).
% 76.11/47.91 tff(3369,plain,
% 76.11/47.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex2)))),
% 76.11/47.91 inference(transitivity,[status(thm)],[3368, 3366])).
% 76.11/47.91 tff(3370,plain,
% 76.11/47.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 76.11/47.91 inference(quant_inst,[status(thm)],[])).
% 76.11/47.91 tff(3371,plain,
% 76.11/47.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex2))),
% 76.11/47.91 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 76.11/47.91 tff(3372,plain,
% 76.11/47.91 (~v130(constB25, bitIndex2)),
% 76.11/47.91 inference(unit_resolution,[status(thm)],[3371, 2290, 3365, 3361, 3357, 3353, 3318, 3314])).
% 76.11/47.91 tff(3373,plain,
% 76.11/47.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 76.11/47.91 inference(rewrite,[status(thm)],[])).
% 76.11/47.91 tff(3374,plain,
% 76.12/47.92 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3375,plain,
% 76.12/47.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 76.12/47.92 inference(monotonicity,[status(thm)],[3374])).
% 76.12/47.92 tff(3376,plain,
% 76.12/47.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 76.12/47.92 inference(transitivity,[status(thm)],[3375, 3373])).
% 76.12/47.92 tff(3377,plain,
% 76.12/47.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 76.12/47.92 inference(quant_inst,[status(thm)],[])).
% 76.12/47.92 tff(3378,plain,
% 76.12/47.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 76.12/47.92 tff(3379,plain,
% 76.12/47.92 ((~v127(constB25, bitIndex2)) | v26(constB25)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3378, 430, 3372])).
% 76.12/47.92 tff(3380,plain,
% 76.12/47.92 (~v127(constB25, bitIndex2)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3379, 25])).
% 76.12/47.92 tff(3381,plain,
% 76.12/47.92 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3382,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 76.12/47.92 tff(3383,plain,
% 76.12/47.92 (nextState(constB25, constB26)),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3382, 3381])).
% 76.12/47.92 tff(3384,plain,
% 76.12/47.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3385,plain,
% 76.12/47.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 76.12/47.92 inference(quant_inst,[status(thm)],[])).
% 76.12/47.92 tff(3386,plain,
% 76.12/47.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 76.12/47.92 tff(3387,plain,
% 76.12/47.92 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3386, 451, 3383])).
% 76.12/47.92 tff(3388,plain,
% 76.12/47.92 (~v129(constB26, bitIndex2)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3387, 3380])).
% 76.12/47.92 tff(3389,plain,
% 76.12/47.92 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3390,plain,
% 76.12/47.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 76.12/47.92 inference(quant_inst,[status(thm)],[])).
% 76.12/47.92 tff(3391,plain,
% 76.12/47.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0))),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 76.12/47.92 tff(3392,plain,
% 76.12/47.92 (~v130(constB23, bitIndex0)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3391, 2112, 3203])).
% 76.12/47.92 tff(3393,plain,
% 76.12/47.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3394,plain,
% 76.12/47.92 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3395,plain,
% 76.12/47.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 76.12/47.92 inference(monotonicity,[status(thm)],[3394])).
% 76.12/47.92 tff(3396,plain,
% 76.12/47.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 76.12/47.92 inference(transitivity,[status(thm)],[3395, 3393])).
% 76.12/47.92 tff(3397,plain,
% 76.12/47.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 76.12/47.92 inference(quant_inst,[status(thm)],[])).
% 76.12/47.92 tff(3398,plain,
% 76.12/47.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 76.12/47.92 tff(3399,plain,
% 76.12/47.92 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3398, 1112, 3215])).
% 76.12/47.92 tff(3400,plain,
% 76.12/47.92 (~v127(constB23, bitIndex0)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3399, 3392])).
% 76.12/47.92 tff(3401,plain,
% 76.12/47.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3402,plain,
% 76.12/47.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 76.12/47.92 inference(quant_inst,[status(thm)],[])).
% 76.12/47.92 tff(3403,plain,
% 76.12/47.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 76.12/47.92 tff(3404,plain,
% 76.12/47.92 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3403, 1130, 3227])).
% 76.12/47.92 tff(3405,plain,
% 76.12/47.92 (~v129(constB24, bitIndex0)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3404, 3400])).
% 76.12/47.92 tff(3406,plain,
% 76.12/47.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3407,plain,
% 76.12/47.92 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3408,plain,
% 76.12/47.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 76.12/47.92 inference(monotonicity,[status(thm)],[3407])).
% 76.12/47.92 tff(3409,plain,
% 76.12/47.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 76.12/47.92 inference(transitivity,[status(thm)],[3408, 3406])).
% 76.12/47.92 tff(3410,plain,
% 76.12/47.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 76.12/47.92 inference(quant_inst,[status(thm)],[])).
% 76.12/47.92 tff(3411,plain,
% 76.12/47.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 76.12/47.92 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 76.12/47.92 tff(3412,plain,
% 76.12/47.92 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3411, 1145, 3405])).
% 76.12/47.92 tff(3413,plain,
% 76.12/47.92 (~v90(constB24, bitIndex0)),
% 76.12/47.92 inference(unit_resolution,[status(thm)],[3412, 3261])).
% 76.12/47.92 tff(3414,plain,
% 76.12/47.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3415,plain,
% 76.12/47.92 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 76.12/47.92 inference(rewrite,[status(thm)],[])).
% 76.12/47.92 tff(3416,plain,
% 76.12/47.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 76.12/47.92 inference(monotonicity,[status(thm)],[3415])).
% 76.12/47.92 tff(3417,plain,
% 76.12/47.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 76.12/47.92 inference(transitivity,[status(thm)],[3416, 3414])).
% 76.12/47.92 tff(3418,plain,
% 76.12/47.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3419,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 76.12/47.93 tff(3420,plain,
% 76.12/47.93 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3419, 381, 3289])).
% 76.12/47.93 tff(3421,plain,
% 76.12/47.93 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3420, 3301])).
% 76.12/47.93 tff(3422,plain,
% 76.12/47.93 (~v90(constB25, bitIndex0)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3421, 3413])).
% 76.12/47.93 tff(3423,plain,
% 76.12/47.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3424,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3425,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3424, 3423])).
% 76.12/47.93 tff(3426,plain,
% 76.12/47.93 (v125(constB25)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3425, 2156, 3422, 3349, 3310])).
% 76.12/47.93 tff(3427,plain,
% 76.12/47.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3428,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3429,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3428, 3427])).
% 76.12/47.93 tff(3430,plain,
% 76.12/47.93 (v113(constB25)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3429, 2167, 3426])).
% 76.12/47.93 tff(3431,assumption,(~v108(constB25)), introduced(assumption)).
% 76.12/47.93 tff(3432,plain,
% 76.12/47.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3433,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3434,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 76.12/47.93 tff(3435,plain,
% 76.12/47.93 (~v112(constB25)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3434, 464, 3431])).
% 76.12/47.93 tff(3436,plain,
% 76.12/47.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB25) | (~v26(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB25) | (~v26(constB25)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3437,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB25) | (~v26(constB25)))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3438,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB25) | (~v26(constB25))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3437, 3436])).
% 76.12/47.93 tff(3439,plain,
% 76.12/47.93 (~v26(constB25)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3438, 475, 3431])).
% 76.12/47.93 tff(3440,assumption,(v113(constB25)), introduced(assumption)).
% 76.12/47.93 tff(3441,plain,
% 76.12/47.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3442,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3443,plain,
% 76.12/47.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | (~v113(constB25)) | v112(constB25)),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3442, 3441])).
% 76.12/47.93 tff(3444,plain,
% 76.12/47.93 (v26(constB25) | v112(constB25)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3443, 555, 3440])).
% 76.12/47.93 tff(3445,plain,
% 76.12/47.93 ($false),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3444, 3439, 3435])).
% 76.12/47.93 tff(3446,plain,(v108(constB25) | (~v113(constB25))), inference(lemma,lemma(discharge,[]))).
% 76.12/47.93 tff(3447,plain,
% 76.12/47.93 (v108(constB25)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3446, 3430])).
% 76.12/47.93 tff(3448,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3449,plain,
% 76.12/47.93 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3450,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 76.12/47.93 inference(monotonicity,[status(thm)],[3449])).
% 76.12/47.93 tff(3451,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 76.12/47.93 inference(transitivity,[status(thm)],[3450, 3448])).
% 76.12/47.93 tff(3452,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3453,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 76.12/47.93 tff(3454,plain,
% 76.12/47.93 (v110(constB26) | (~v108(constB25))),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3453, 571, 3383])).
% 76.12/47.93 tff(3455,plain,
% 76.12/47.93 (v110(constB26)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3454, 3447])).
% 76.12/47.93 tff(3456,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3457,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3458,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 76.12/47.93 tff(3459,plain,
% 76.12/47.93 (~v104(constB26)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3458, 589, 3383, 3286])).
% 76.12/47.93 tff(3460,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3461,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3462,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 76.12/47.93 tff(3463,plain,
% 76.12/47.93 (v102(constB26) | v104(constB26)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3462, 603, 3383])).
% 76.12/47.93 tff(3464,plain,
% 76.12/47.93 (v102(constB26)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3463, 3459])).
% 76.12/47.93 tff(3465,plain,
% 76.12/47.93 (v1(constB26) <=> v1(constB26)),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3466,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 76.12/47.93 tff(3467,plain,
% 76.12/47.93 (v1(constB26)),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 76.12/47.93 tff(3468,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3469,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3470,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 76.12/47.93 tff(3471,plain,
% 76.12/47.93 (v101(constB26) | (~v102(constB26))),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3470, 621, 3383, 3467])).
% 76.12/47.93 tff(3472,plain,
% 76.12/47.93 (v101(constB26)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3471, 3464])).
% 76.12/47.93 tff(3473,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3474,plain,
% 76.12/47.93 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3475,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 76.12/47.93 inference(monotonicity,[status(thm)],[3474])).
% 76.12/47.93 tff(3476,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 76.12/47.93 inference(transitivity,[status(thm)],[3475, 3473])).
% 76.12/47.93 tff(3477,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3478,plain,
% 76.12/47.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 76.12/47.93 tff(3479,plain,
% 76.12/47.93 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3478, 636, 3383])).
% 76.12/47.93 tff(3480,plain,
% 76.12/47.93 (v100(constB26) | (~v110(constB26))),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3479, 3472])).
% 76.12/47.93 tff(3481,plain,
% 76.12/47.93 (v100(constB26)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3480, 3455])).
% 76.12/47.93 tff(3482,plain,
% 76.12/47.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3483,plain,
% 76.12/47.93 (((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3484,plain,
% 76.12/47.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))))),
% 76.12/47.93 inference(monotonicity,[status(thm)],[3483])).
% 76.12/47.93 tff(3485,plain,
% 76.12/47.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 76.12/47.93 inference(transitivity,[status(thm)],[3484, 3482])).
% 76.12/47.93 tff(3486,plain,
% 76.12/47.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))),
% 76.12/47.93 inference(quant_inst,[status(thm)],[])).
% 76.12/47.93 tff(3487,plain,
% 76.12/47.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 76.12/47.93 tff(3488,plain,
% 76.12/47.93 ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3487, 655, 3481])).
% 76.12/47.93 tff(3489,plain,
% 76.12/47.93 (~v90(constB26, bitIndex2)),
% 76.12/47.93 inference(unit_resolution,[status(thm)],[3488, 3388])).
% 76.12/47.93 tff(3490,plain,
% 76.12/47.93 ((~v1(constB27)) <=> (~v1(constB27))),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3491,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 76.12/47.93 tff(3492,plain,
% 76.12/47.93 (~v1(constB27)),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 76.12/47.93 tff(3493,plain,
% 76.12/47.93 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 76.12/47.93 inference(rewrite,[status(thm)],[])).
% 76.12/47.93 tff(3494,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 76.12/47.93 tff(3495,plain,
% 76.12/47.93 (nextState(constB26, constB27)),
% 76.12/47.93 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 76.12/47.93 tff(3496,plain,
% 76.12/47.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3497,plain,
% 76.12/47.94 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3498,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 76.12/47.94 inference(monotonicity,[status(thm)],[3497])).
% 76.12/47.94 tff(3499,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 76.12/47.94 inference(transitivity,[status(thm)],[3498, 3496])).
% 76.12/47.94 tff(3500,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3501,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 76.12/47.94 tff(3502,plain,
% 76.12/47.94 (~v101(constB27)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3501, 307, 3495, 3492])).
% 76.12/47.94 tff(3503,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3504,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3505,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 76.12/47.94 tff(3506,plain,
% 76.12/47.94 (v101(constB27) | (~v100(constB27))),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3505, 324, 3495])).
% 76.12/47.94 tff(3507,plain,
% 76.12/47.94 (~v100(constB27)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3506, 3502])).
% 76.12/47.94 tff(3508,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3509,plain,
% 76.12/47.94 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3510,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 76.12/47.94 inference(monotonicity,[status(thm)],[3509])).
% 76.12/47.94 tff(3511,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 76.12/47.94 inference(transitivity,[status(thm)],[3510, 3508])).
% 76.12/47.94 tff(3512,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3513,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3512, 3511])).
% 76.12/47.94 tff(3514,plain,
% 76.12/47.94 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3513, 339, 3495])).
% 76.12/47.94 tff(3515,plain,
% 76.12/47.94 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3514, 3507])).
% 76.12/47.94 tff(3516,plain,
% 76.12/47.94 (~v90(constB27, bitIndex2)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3515, 3489])).
% 76.12/47.94 tff(3517,plain,
% 76.12/47.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex1)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3518,plain,
% 76.12/47.94 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))) <=> (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex1)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3519,plain,
% 76.12/47.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex1))))),
% 76.12/47.94 inference(monotonicity,[status(thm)],[3518])).
% 76.12/47.94 tff(3520,plain,
% 76.12/47.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex1)))),
% 76.12/47.94 inference(transitivity,[status(thm)],[3519, 3517])).
% 76.12/47.94 tff(3521,plain,
% 76.12/47.94 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3522,plain,
% 76.12/47.94 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | (~v130(constB25, bitIndex1))),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3521, 3520])).
% 76.12/47.94 tff(3523,plain,
% 76.12/47.94 (~v130(constB25, bitIndex1)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3522, 2355, 3365, 3361, 3357, 3353, 3318, 3314])).
% 76.12/47.94 tff(3524,plain,
% 76.12/47.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3525,plain,
% 76.12/47.94 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3526,plain,
% 76.12/47.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 76.12/47.94 inference(monotonicity,[status(thm)],[3525])).
% 76.12/47.94 tff(3527,plain,
% 76.12/47.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 76.12/47.94 inference(transitivity,[status(thm)],[3526, 3524])).
% 76.12/47.94 tff(3528,plain,
% 76.12/47.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3529,plain,
% 76.12/47.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 76.12/47.94 tff(3530,plain,
% 76.12/47.94 ((~v127(constB25, bitIndex1)) | v26(constB25)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3529, 714, 3523])).
% 76.12/47.94 tff(3531,plain,
% 76.12/47.94 (~v127(constB25, bitIndex1)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3530, 25])).
% 76.12/47.94 tff(3532,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3533,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3534,plain,
% 76.12/47.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 76.12/47.94 tff(3535,plain,
% 76.12/47.94 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3534, 732, 3383])).
% 76.12/47.94 tff(3536,plain,
% 76.12/47.94 (~v129(constB26, bitIndex1)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3535, 3531])).
% 76.12/47.94 tff(3537,plain,
% 76.12/47.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3538,plain,
% 76.12/47.94 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.94 tff(3539,plain,
% 76.12/47.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 76.12/47.94 inference(monotonicity,[status(thm)],[3538])).
% 76.12/47.94 tff(3540,plain,
% 76.12/47.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 76.12/47.94 inference(transitivity,[status(thm)],[3539, 3537])).
% 76.12/47.94 tff(3541,plain,
% 76.12/47.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 76.12/47.94 inference(quant_inst,[status(thm)],[])).
% 76.12/47.94 tff(3542,plain,
% 76.12/47.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 76.12/47.94 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 76.12/47.94 tff(3543,plain,
% 76.12/47.94 ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3542, 747, 3481])).
% 76.12/47.94 tff(3544,plain,
% 76.12/47.94 (~v90(constB26, bitIndex1)),
% 76.12/47.94 inference(unit_resolution,[status(thm)],[3543, 3536])).
% 76.12/47.94 tff(3545,plain,
% 76.12/47.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 76.12/47.94 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3546,plain,
% 76.12/47.95 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3547,plain,
% 76.12/47.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 76.12/47.95 inference(monotonicity,[status(thm)],[3546])).
% 76.12/47.95 tff(3548,plain,
% 76.12/47.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 76.12/47.95 inference(transitivity,[status(thm)],[3547, 3545])).
% 76.12/47.95 tff(3549,plain,
% 76.12/47.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 76.12/47.95 inference(quant_inst,[status(thm)],[])).
% 76.12/47.95 tff(3550,plain,
% 76.12/47.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 76.12/47.95 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 76.12/47.95 tff(3551,plain,
% 76.12/47.95 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3550, 360, 3495])).
% 76.12/47.95 tff(3552,plain,
% 76.12/47.95 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3551, 3507])).
% 76.12/47.95 tff(3553,plain,
% 76.12/47.95 (~v90(constB27, bitIndex1)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3552, 3544])).
% 76.12/47.95 tff(3554,plain,
% 76.12/47.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v130(constB25, bitIndex0))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3555,plain,
% 76.12/47.95 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)) <=> (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v130(constB25, bitIndex0))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3556,plain,
% 76.12/47.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v130(constB25, bitIndex0)))),
% 76.12/47.95 inference(monotonicity,[status(thm)],[3555])).
% 76.12/47.95 tff(3557,plain,
% 76.12/47.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v130(constB25, bitIndex0))),
% 76.12/47.95 inference(transitivity,[status(thm)],[3556, 3554])).
% 76.12/47.95 tff(3558,plain,
% 76.12/47.95 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 76.12/47.95 inference(quant_inst,[status(thm)],[])).
% 76.12/47.95 tff(3559,plain,
% 76.12/47.95 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB25) | v124(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v130(constB25, bitIndex0)),
% 76.12/47.95 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 76.12/47.95 tff(3560,plain,
% 76.12/47.95 (v130(constB25, bitIndex0)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3559, 2402, 3365, 3361, 3357, 3353, 3318, 3314])).
% 76.12/47.95 tff(3561,plain,
% 76.12/47.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3562,plain,
% 76.12/47.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 76.12/47.95 inference(quant_inst,[status(thm)],[])).
% 76.12/47.95 tff(3563,plain,
% 76.12/47.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 76.12/47.95 inference(modus_ponens,[status(thm)],[3562, 3561])).
% 76.12/47.95 tff(3564,plain,
% 76.12/47.95 (v26(constB25) | v127(constB25, bitIndex0)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3563, 788, 3560])).
% 76.12/47.95 tff(3565,plain,
% 76.12/47.95 (v127(constB25, bitIndex0)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3564, 25])).
% 76.12/47.95 tff(3566,plain,
% 76.12/47.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3567,plain,
% 76.12/47.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 76.12/47.95 inference(quant_inst,[status(thm)],[])).
% 76.12/47.95 tff(3568,plain,
% 76.12/47.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 76.12/47.95 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 76.12/47.95 tff(3569,plain,
% 76.12/47.95 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3568, 803, 3383])).
% 76.12/47.95 tff(3570,plain,
% 76.12/47.95 (v129(constB26, bitIndex0)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3569, 3565])).
% 76.12/47.95 tff(3571,plain,
% 76.12/47.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3572,plain,
% 76.12/47.95 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3573,plain,
% 76.12/47.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 76.12/47.95 inference(monotonicity,[status(thm)],[3572])).
% 76.12/47.95 tff(3574,plain,
% 76.12/47.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 76.12/47.95 inference(transitivity,[status(thm)],[3573, 3571])).
% 76.12/47.95 tff(3575,plain,
% 76.12/47.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 76.12/47.95 inference(quant_inst,[status(thm)],[])).
% 76.12/47.95 tff(3576,plain,
% 76.12/47.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 76.12/47.95 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 76.12/47.95 tff(3577,plain,
% 76.12/47.95 (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3576, 818, 3481])).
% 76.12/47.95 tff(3578,plain,
% 76.12/47.95 (v90(constB26, bitIndex0)),
% 76.12/47.95 inference(unit_resolution,[status(thm)],[3577, 3570])).
% 76.12/47.95 tff(3579,plain,
% 76.12/47.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3580,plain,
% 76.12/47.95 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 76.12/47.95 inference(rewrite,[status(thm)],[])).
% 76.12/47.95 tff(3581,plain,
% 76.12/47.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 76.12/47.95 inference(monotonicity,[status(thm)],[3580])).
% 76.12/47.95 tff(3582,plain,
% 76.12/47.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 76.12/47.96 inference(transitivity,[status(thm)],[3581, 3579])).
% 76.12/47.96 tff(3583,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3584,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3583, 3582])).
% 76.12/47.96 tff(3585,plain,
% 76.12/47.96 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3584, 836, 3495])).
% 76.12/47.96 tff(3586,plain,
% 76.12/47.96 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3585, 3507])).
% 76.12/47.96 tff(3587,plain,
% 76.12/47.96 (v90(constB27, bitIndex0)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3586, 3578])).
% 76.12/47.96 tff(3588,plain,
% 76.12/47.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3589,plain,
% 76.12/47.96 (((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3590,plain,
% 76.12/47.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)))),
% 76.12/47.96 inference(monotonicity,[status(thm)],[3589])).
% 76.12/47.96 tff(3591,plain,
% 76.12/47.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 76.12/47.96 inference(transitivity,[status(thm)],[3590, 3588])).
% 76.12/47.96 tff(3592,plain,
% 76.12/47.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3593,plain,
% 76.12/47.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3592, 3591])).
% 76.12/47.96 tff(3594,plain,
% 76.12/47.96 (v120(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3593, 855, 3587, 3553, 3516])).
% 76.12/47.96 tff(3595,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3596,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3597,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3596, 3595])).
% 76.12/47.96 tff(3598,plain,
% 76.12/47.96 (v118(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3597, 908, 3594])).
% 76.12/47.96 tff(3599,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3600,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3601,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3600, 3599])).
% 76.12/47.96 tff(3602,plain,
% 76.12/47.96 (v117(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3601, 497, 3598])).
% 76.12/47.96 tff(3603,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3604,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3605,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 76.12/47.96 tff(3606,plain,
% 76.12/47.96 (v116(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3605, 508, 3602])).
% 76.12/47.96 tff(3607,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3608,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3609,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3608, 3607])).
% 76.12/47.96 tff(3610,plain,
% 76.12/47.96 (v115(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3609, 519, 3606])).
% 76.12/47.96 tff(3611,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3612,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3613,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3612, 3611])).
% 76.12/47.96 tff(3614,plain,
% 76.12/47.96 (v114(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3613, 530, 3610])).
% 76.12/47.96 tff(3615,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3616,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3617,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 76.12/47.96 tff(3618,plain,
% 76.12/47.96 (v113(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3617, 541, 3614])).
% 76.12/47.96 tff(3619,assumption,(v26(constB27)), introduced(assumption)).
% 76.12/47.96 tff(3620,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3621,plain,
% 76.12/47.96 ($false),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3620, 14, 3619])).
% 76.12/47.96 tff(3622,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 76.12/47.96 tff(3623,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3624,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3625,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 76.12/47.96 tff(3626,plain,
% 76.12/47.96 ((~v113(constB27)) | v112(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3625, 555, 3622])).
% 76.12/47.96 tff(3627,plain,
% 76.12/47.96 (v112(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3626, 3618])).
% 76.12/47.96 tff(3628,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3629,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3630,plain,
% 76.12/47.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3629, 3628])).
% 76.12/47.96 tff(3631,plain,
% 76.12/47.96 (v108(constB27)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3630, 464, 3627])).
% 76.12/47.96 tff(3632,plain,
% 76.12/47.96 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3633,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 76.12/47.96 tff(3634,plain,
% 76.12/47.96 (nextState(constB27, constB28)),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3633, 3632])).
% 76.12/47.96 tff(3635,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3636,plain,
% 76.12/47.96 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3637,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 76.12/47.96 inference(monotonicity,[status(thm)],[3636])).
% 76.12/47.96 tff(3638,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 76.12/47.96 inference(transitivity,[status(thm)],[3637, 3635])).
% 76.12/47.96 tff(3639,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3640,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 76.12/47.96 tff(3641,plain,
% 76.12/47.96 (v110(constB28) | (~v108(constB27))),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3640, 571, 3634])).
% 76.12/47.96 tff(3642,plain,
% 76.12/47.96 (v110(constB28)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3641, 3631])).
% 76.12/47.96 tff(3643,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3644,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3645,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 76.12/47.96 tff(3646,plain,
% 76.12/47.96 (~v104(constB28)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3645, 589, 3634, 3492])).
% 76.12/47.96 tff(3647,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3648,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3649,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 76.12/47.96 tff(3650,plain,
% 76.12/47.96 (v102(constB28) | v104(constB28)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3649, 603, 3634])).
% 76.12/47.96 tff(3651,plain,
% 76.12/47.96 (v102(constB28)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3650, 3646])).
% 76.12/47.96 tff(3652,plain,
% 76.12/47.96 (v1(constB28) <=> v1(constB28)),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3653,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 76.12/47.96 tff(3654,plain,
% 76.12/47.96 (v1(constB28)),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 76.12/47.96 tff(3655,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3656,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3657,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 76.12/47.96 tff(3658,plain,
% 76.12/47.96 (v101(constB28) | (~v102(constB28))),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3657, 621, 3634, 3654])).
% 76.12/47.96 tff(3659,plain,
% 76.12/47.96 (v101(constB28)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3658, 3651])).
% 76.12/47.96 tff(3660,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3661,plain,
% 76.12/47.96 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3662,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 76.12/47.96 inference(monotonicity,[status(thm)],[3661])).
% 76.12/47.96 tff(3663,plain,
% 76.12/47.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 76.12/47.96 inference(transitivity,[status(thm)],[3662, 3660])).
% 76.12/47.96 tff(3664,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3665,plain,
% 76.12/47.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3664, 3663])).
% 76.12/47.96 tff(3666,plain,
% 76.12/47.96 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3665, 636, 3634])).
% 76.12/47.96 tff(3667,plain,
% 76.12/47.96 (v100(constB28) | (~v110(constB28))),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3666, 3659])).
% 76.12/47.96 tff(3668,plain,
% 76.12/47.96 (v100(constB28)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3667, 3642])).
% 76.12/47.96 tff(3669,plain,
% 76.12/47.96 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3670,plain,
% 76.12/47.96 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 76.12/47.96 inference(quant_inst,[status(thm)],[])).
% 76.12/47.96 tff(3671,plain,
% 76.12/47.96 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 76.12/47.96 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 76.12/47.96 tff(3672,plain,
% 76.12/47.96 (~v130(constB27, bitIndex2)),
% 76.12/47.96 inference(unit_resolution,[status(thm)],[3671, 872, 3594])).
% 76.12/47.96 tff(3673,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3674,plain,
% 76.12/47.96 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 76.12/47.96 inference(rewrite,[status(thm)],[])).
% 76.12/47.96 tff(3675,plain,
% 76.12/47.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 76.12/47.97 inference(monotonicity,[status(thm)],[3674])).
% 76.12/47.97 tff(3676,plain,
% 76.12/47.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 76.12/47.97 inference(transitivity,[status(thm)],[3675, 3673])).
% 76.12/47.97 tff(3677,plain,
% 76.12/47.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 76.12/47.97 inference(quant_inst,[status(thm)],[])).
% 76.12/47.97 tff(3678,plain,
% 76.12/47.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 76.12/47.97 tff(3679,plain,
% 76.12/47.97 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3678, 430, 3622])).
% 76.12/47.97 tff(3680,plain,
% 76.12/47.97 (~v127(constB27, bitIndex2)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3679, 3672])).
% 76.12/47.97 tff(3681,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3682,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 76.12/47.97 inference(quant_inst,[status(thm)],[])).
% 76.12/47.97 tff(3683,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 76.12/47.97 tff(3684,plain,
% 76.12/47.97 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3683, 451, 3634])).
% 76.12/47.97 tff(3685,plain,
% 76.12/47.97 (~v129(constB28, bitIndex2)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3684, 3680])).
% 76.12/47.97 tff(3686,plain,
% 76.12/47.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3687,plain,
% 76.12/47.97 (((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3688,plain,
% 76.12/47.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))))),
% 76.12/47.97 inference(monotonicity,[status(thm)],[3687])).
% 76.12/47.97 tff(3689,plain,
% 76.12/47.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 76.12/47.97 inference(transitivity,[status(thm)],[3688, 3686])).
% 76.12/47.97 tff(3690,plain,
% 76.12/47.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))),
% 76.12/47.97 inference(quant_inst,[status(thm)],[])).
% 76.12/47.97 tff(3691,plain,
% 76.12/47.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 76.12/47.97 tff(3692,plain,
% 76.12/47.97 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3691, 655, 3685])).
% 76.12/47.97 tff(3693,plain,
% 76.12/47.97 (~v90(constB28, bitIndex2)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3692, 3668])).
% 76.12/47.97 tff(3694,plain,
% 76.12/47.97 ((~v1(constB29)) <=> (~v1(constB29))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3695,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 76.12/47.97 tff(3696,plain,
% 76.12/47.97 (~v1(constB29)),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3695, 3694])).
% 76.12/47.97 tff(3697,plain,
% 76.12/47.97 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3698,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 76.12/47.97 tff(3699,plain,
% 76.12/47.97 (nextState(constB28, constB29)),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 76.12/47.97 tff(3700,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3701,plain,
% 76.12/47.97 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3702,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 76.12/47.97 inference(monotonicity,[status(thm)],[3701])).
% 76.12/47.97 tff(3703,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 76.12/47.97 inference(transitivity,[status(thm)],[3702, 3700])).
% 76.12/47.97 tff(3704,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 76.12/47.97 inference(quant_inst,[status(thm)],[])).
% 76.12/47.97 tff(3705,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 76.12/47.97 tff(3706,plain,
% 76.12/47.97 (~v101(constB29)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3705, 307, 3699, 3696])).
% 76.12/47.97 tff(3707,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3708,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 76.12/47.97 inference(quant_inst,[status(thm)],[])).
% 76.12/47.97 tff(3709,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 76.12/47.97 tff(3710,plain,
% 76.12/47.97 (v101(constB29) | (~v100(constB29))),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3709, 324, 3699])).
% 76.12/47.97 tff(3711,plain,
% 76.12/47.97 (~v100(constB29)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3710, 3706])).
% 76.12/47.97 tff(3712,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3713,plain,
% 76.12/47.97 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3714,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 76.12/47.97 inference(monotonicity,[status(thm)],[3713])).
% 76.12/47.97 tff(3715,plain,
% 76.12/47.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 76.12/47.97 inference(transitivity,[status(thm)],[3714, 3712])).
% 76.12/47.97 tff(3716,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 76.12/47.97 inference(quant_inst,[status(thm)],[])).
% 76.12/47.97 tff(3717,plain,
% 76.12/47.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 76.12/47.97 inference(modus_ponens,[status(thm)],[3716, 3715])).
% 76.12/47.97 tff(3718,plain,
% 76.12/47.97 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3717, 339, 3699])).
% 76.12/47.97 tff(3719,plain,
% 76.12/47.97 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3718, 3711])).
% 76.12/47.97 tff(3720,plain,
% 76.12/47.97 (~v90(constB29, bitIndex2)),
% 76.12/47.97 inference(unit_resolution,[status(thm)],[3719, 3693])).
% 76.12/47.97 tff(3721,plain,
% 76.12/47.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 76.12/47.97 inference(rewrite,[status(thm)],[])).
% 76.12/47.97 tff(3722,plain,
% 76.12/47.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3723,plain,
% 76.12/47.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3722, 3721])).
% 76.12/47.98 tff(3724,plain,
% 76.12/47.98 (v130(constB27, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3723, 1017, 3594])).
% 76.12/47.98 tff(3725,plain,
% 76.12/47.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3726,plain,
% 76.12/47.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3727,plain,
% 76.12/47.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3726, 3725])).
% 76.12/47.98 tff(3728,plain,
% 76.12/47.98 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3727, 1031, 3622])).
% 76.12/47.98 tff(3729,plain,
% 76.12/47.98 (v127(constB27, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3728, 3724])).
% 76.12/47.98 tff(3730,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3731,plain,
% 76.12/47.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3732,plain,
% 76.12/47.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 76.12/47.98 tff(3733,plain,
% 76.12/47.98 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3732, 1046, 3634])).
% 76.12/47.98 tff(3734,plain,
% 76.12/47.98 (v129(constB28, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3733, 3729])).
% 76.12/47.98 tff(3735,plain,
% 76.12/47.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3736,plain,
% 76.12/47.98 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3737,plain,
% 76.12/47.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 76.12/47.98 inference(monotonicity,[status(thm)],[3736])).
% 76.12/47.98 tff(3738,plain,
% 76.12/47.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 76.12/47.98 inference(transitivity,[status(thm)],[3737, 3735])).
% 76.12/47.98 tff(3739,plain,
% 76.12/47.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3740,plain,
% 76.12/47.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 76.12/47.98 tff(3741,plain,
% 76.12/47.98 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3740, 1061, 3734])).
% 76.12/47.98 tff(3742,plain,
% 76.12/47.98 (v90(constB28, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3741, 3668])).
% 76.12/47.98 tff(3743,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3744,plain,
% 76.12/47.98 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3745,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 76.12/47.98 inference(monotonicity,[status(thm)],[3744])).
% 76.12/47.98 tff(3746,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 76.12/47.98 inference(transitivity,[status(thm)],[3745, 3743])).
% 76.12/47.98 tff(3747,plain,
% 76.12/47.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3748,plain,
% 76.12/47.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3747, 3746])).
% 76.12/47.98 tff(3749,plain,
% 76.12/47.98 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3748, 1079, 3699])).
% 76.12/47.98 tff(3750,plain,
% 76.12/47.98 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3749, 3711])).
% 76.12/47.98 tff(3751,plain,
% 76.12/47.98 (v90(constB29, bitIndex1)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3750, 3742])).
% 76.12/47.98 tff(3752,plain,
% 76.12/47.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3753,plain,
% 76.12/47.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3754,plain,
% 76.12/47.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3753, 3752])).
% 76.12/47.98 tff(3755,plain,
% 76.12/47.98 (~v130(constB27, bitIndex0)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3754, 1098, 3594])).
% 76.12/47.98 tff(3756,plain,
% 76.12/47.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3757,plain,
% 76.12/47.98 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3758,plain,
% 76.12/47.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 76.12/47.98 inference(monotonicity,[status(thm)],[3757])).
% 76.12/47.98 tff(3759,plain,
% 76.12/47.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 76.12/47.98 inference(transitivity,[status(thm)],[3758, 3756])).
% 76.12/47.98 tff(3760,plain,
% 76.12/47.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3761,plain,
% 76.12/47.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 76.12/47.98 tff(3762,plain,
% 76.12/47.98 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3761, 1112, 3622])).
% 76.12/47.98 tff(3763,plain,
% 76.12/47.98 (~v127(constB27, bitIndex0)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3762, 3755])).
% 76.12/47.98 tff(3764,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3765,plain,
% 76.12/47.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3766,plain,
% 76.12/47.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 76.12/47.98 tff(3767,plain,
% 76.12/47.98 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3766, 1130, 3634])).
% 76.12/47.98 tff(3768,plain,
% 76.12/47.98 (~v129(constB28, bitIndex0)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3767, 3763])).
% 76.12/47.98 tff(3769,plain,
% 76.12/47.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3770,plain,
% 76.12/47.98 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3771,plain,
% 76.12/47.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 76.12/47.98 inference(monotonicity,[status(thm)],[3770])).
% 76.12/47.98 tff(3772,plain,
% 76.12/47.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 76.12/47.98 inference(transitivity,[status(thm)],[3771, 3769])).
% 76.12/47.98 tff(3773,plain,
% 76.12/47.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 76.12/47.98 inference(quant_inst,[status(thm)],[])).
% 76.12/47.98 tff(3774,plain,
% 76.12/47.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 76.12/47.98 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 76.12/47.98 tff(3775,plain,
% 76.12/47.98 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3774, 1145, 3768])).
% 76.12/47.98 tff(3776,plain,
% 76.12/47.98 (~v90(constB28, bitIndex0)),
% 76.12/47.98 inference(unit_resolution,[status(thm)],[3775, 3668])).
% 76.12/47.98 tff(3777,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3778,plain,
% 76.12/47.98 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 76.12/47.98 inference(rewrite,[status(thm)],[])).
% 76.12/47.98 tff(3779,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 76.12/47.98 inference(monotonicity,[status(thm)],[3778])).
% 76.12/47.98 tff(3780,plain,
% 76.12/47.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 76.12/47.99 inference(transitivity,[status(thm)],[3779, 3777])).
% 76.12/47.99 tff(3781,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3782,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 76.12/47.99 tff(3783,plain,
% 76.12/47.99 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3782, 381, 3699])).
% 76.12/47.99 tff(3784,plain,
% 76.12/47.99 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3783, 3711])).
% 76.12/47.99 tff(3785,plain,
% 76.12/47.99 (~v90(constB29, bitIndex0)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3784, 3776])).
% 76.12/47.99 tff(3786,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3787,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3788,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3787, 3786])).
% 76.12/47.99 tff(3789,plain,
% 76.12/47.99 (v121(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3788, 1172, 3785, 3751, 3720])).
% 76.12/47.99 tff(3790,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3791,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3792,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 76.12/47.99 tff(3793,plain,
% 76.12/47.99 (v117(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3792, 1183, 3789])).
% 76.12/47.99 tff(3794,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3795,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3796,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 76.12/47.99 tff(3797,plain,
% 76.12/47.99 (v116(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3796, 508, 3793])).
% 76.12/47.99 tff(3798,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3799,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3800,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 76.12/47.99 tff(3801,plain,
% 76.12/47.99 (v115(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3800, 519, 3797])).
% 76.12/47.99 tff(3802,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3803,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3804,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 76.12/47.99 tff(3805,plain,
% 76.12/47.99 (v114(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3804, 530, 3801])).
% 76.12/47.99 tff(3806,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3807,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3808,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 76.12/47.99 tff(3809,plain,
% 76.12/47.99 (v113(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3808, 541, 3805])).
% 76.12/47.99 tff(3810,assumption,(v26(constB29)), introduced(assumption)).
% 76.12/47.99 tff(3811,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3812,plain,
% 76.12/47.99 ($false),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3811, 14, 3810])).
% 76.12/47.99 tff(3813,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 76.12/47.99 tff(3814,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3815,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3816,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29)),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3815, 3814])).
% 76.12/47.99 tff(3817,plain,
% 76.12/47.99 ((~v113(constB29)) | v112(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3816, 555, 3813])).
% 76.12/47.99 tff(3818,plain,
% 76.12/47.99 (v112(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3817, 3809])).
% 76.12/47.99 tff(3819,plain,
% 76.12/47.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3820,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3821,plain,
% 76.12/47.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 76.12/47.99 tff(3822,plain,
% 76.12/47.99 (v108(constB29)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3821, 464, 3818])).
% 76.12/47.99 tff(3823,plain,
% 76.12/47.99 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3824,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 76.12/47.99 tff(3825,plain,
% 76.12/47.99 (nextState(constB29, constB30)),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 76.12/47.99 tff(3826,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3827,plain,
% 76.12/47.99 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3828,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 76.12/47.99 inference(monotonicity,[status(thm)],[3827])).
% 76.12/47.99 tff(3829,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 76.12/47.99 inference(transitivity,[status(thm)],[3828, 3826])).
% 76.12/47.99 tff(3830,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3831,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 76.12/47.99 tff(3832,plain,
% 76.12/47.99 (v110(constB30) | (~v108(constB29))),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3831, 571, 3825])).
% 76.12/47.99 tff(3833,plain,
% 76.12/47.99 (v110(constB30)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3832, 3822])).
% 76.12/47.99 tff(3834,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3835,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3836,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 76.12/47.99 tff(3837,plain,
% 76.12/47.99 (~v104(constB30)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3836, 589, 3825, 3696])).
% 76.12/47.99 tff(3838,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3839,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3840,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 76.12/47.99 tff(3841,plain,
% 76.12/47.99 (v102(constB30) | v104(constB30)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3840, 603, 3825])).
% 76.12/47.99 tff(3842,plain,
% 76.12/47.99 (v102(constB30)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3841, 3837])).
% 76.12/47.99 tff(3843,plain,
% 76.12/47.99 (v1(constB30) <=> v1(constB30)),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3844,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 76.12/47.99 tff(3845,plain,
% 76.12/47.99 (v1(constB30)),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 76.12/47.99 tff(3846,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3847,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 76.12/47.99 inference(quant_inst,[status(thm)],[])).
% 76.12/47.99 tff(3848,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 76.12/47.99 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 76.12/47.99 tff(3849,plain,
% 76.12/47.99 (v101(constB30) | (~v102(constB30))),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3848, 621, 3825, 3845])).
% 76.12/47.99 tff(3850,plain,
% 76.12/47.99 (v101(constB30)),
% 76.12/47.99 inference(unit_resolution,[status(thm)],[3849, 3842])).
% 76.12/47.99 tff(3851,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3852,plain,
% 76.12/47.99 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 76.12/47.99 inference(rewrite,[status(thm)],[])).
% 76.12/47.99 tff(3853,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 76.12/47.99 inference(monotonicity,[status(thm)],[3852])).
% 76.12/47.99 tff(3854,plain,
% 76.12/47.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 76.12/47.99 inference(transitivity,[status(thm)],[3853, 3851])).
% 76.12/47.99 tff(3855,plain,
% 76.12/47.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 76.12/48.00 inference(quant_inst,[status(thm)],[])).
% 76.12/48.00 tff(3856,plain,
% 76.12/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 76.12/48.00 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 76.12/48.00 tff(3857,plain,
% 76.12/48.00 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 76.12/48.00 inference(unit_resolution,[status(thm)],[3856, 636, 3825])).
% 76.12/48.00 tff(3858,plain,
% 76.12/48.00 (v100(constB30) | (~v110(constB30))),
% 76.12/48.00 inference(unit_resolution,[status(thm)],[3857, 3850])).
% 76.12/48.00 tff(3859,plain,
% 76.12/48.00 (v100(constB30)),
% 76.12/48.00 inference(unit_resolution,[status(thm)],[3858, 3833])).
% 76.12/48.00 tff(3860,plain,
% 76.12/48.00 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 76.12/48.00 inference(rewrite,[status(thm)],[])).
% 76.12/48.00 tff(3861,plain,
% 76.12/48.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 76.12/48.00 inference(quant_inst,[status(thm)],[])).
% 76.12/48.00 tff(3862,plain,
% 76.12/48.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 76.12/48.00 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 76.12/48.00 tff(3863,plain,
% 76.12/48.00 (~v130(constB29, bitIndex2)),
% 76.12/48.00 inference(unit_resolution,[status(thm)],[3862, 1259, 3789])).
% 76.12/48.00 tff(3864,plain,
% 76.12/48.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 76.12/48.00 inference(rewrite,[status(thm)],[])).
% 76.12/48.00 tff(3865,plain,
% 76.12/48.00 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 76.12/48.00 inference(rewrite,[status(thm)],[])).
% 76.12/48.00 tff(3866,plain,
% 76.12/48.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 76.12/48.00 inference(monotonicity,[status(thm)],[3865])).
% 76.12/48.00 tff(3867,plain,
% 76.12/48.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 76.12/48.00 inference(transitivity,[status(thm)],[3866, 3864])).
% 76.12/48.00 tff(3868,plain,
% 76.12/48.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 76.12/48.00 inference(quant_inst,[status(thm)],[])).
% 76.12/48.00 tff(3869,plain,
% 76.12/48.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 76.12/48.00 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 76.12/48.00 tff(3870,plain,
% 76.12/48.00 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 76.12/48.00 inference(unit_resolution,[status(thm)],[3869, 430, 3813])).
% 76.12/48.00 tff(3871,plain,
% 76.12/48.00 (~v127(constB29, bitIndex2)),
% 76.12/48.00 inference(unit_resolution,[status(thm)],[3870, 3863])).
% 76.12/48.00 tff(3872,plain,
% 76.12/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3873,plain,
% 76.20/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 76.20/48.00 inference(quant_inst,[status(thm)],[])).
% 76.20/48.00 tff(3874,plain,
% 76.20/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 76.20/48.00 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 76.20/48.00 tff(3875,plain,
% 76.20/48.00 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3874, 451, 3825])).
% 76.20/48.00 tff(3876,plain,
% 76.20/48.00 (~v129(constB30, bitIndex2)),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3875, 3871])).
% 76.20/48.00 tff(3877,plain,
% 76.20/48.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3878,plain,
% 76.20/48.00 (((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3879,plain,
% 76.20/48.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))))),
% 76.20/48.00 inference(monotonicity,[status(thm)],[3878])).
% 76.20/48.00 tff(3880,plain,
% 76.20/48.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 76.20/48.00 inference(transitivity,[status(thm)],[3879, 3877])).
% 76.20/48.00 tff(3881,plain,
% 76.20/48.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))),
% 76.20/48.00 inference(quant_inst,[status(thm)],[])).
% 76.20/48.00 tff(3882,plain,
% 76.20/48.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 76.20/48.00 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 76.20/48.00 tff(3883,plain,
% 76.20/48.00 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3882, 655, 3876])).
% 76.20/48.00 tff(3884,plain,
% 76.20/48.00 (~v90(constB30, bitIndex2)),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3883, 3859])).
% 76.20/48.00 tff(3885,plain,
% 76.20/48.00 ((~v1(constB31)) <=> (~v1(constB31))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3886,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 76.20/48.00 tff(3887,plain,
% 76.20/48.00 (~v1(constB31)),
% 76.20/48.00 inference(modus_ponens,[status(thm)],[3886, 3885])).
% 76.20/48.00 tff(3888,plain,
% 76.20/48.00 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3889,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 76.20/48.00 tff(3890,plain,
% 76.20/48.00 (nextState(constB30, constB31)),
% 76.20/48.00 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 76.20/48.00 tff(3891,plain,
% 76.20/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3892,plain,
% 76.20/48.00 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3893,plain,
% 76.20/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 76.20/48.00 inference(monotonicity,[status(thm)],[3892])).
% 76.20/48.00 tff(3894,plain,
% 76.20/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 76.20/48.00 inference(transitivity,[status(thm)],[3893, 3891])).
% 76.20/48.00 tff(3895,plain,
% 76.20/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 76.20/48.00 inference(quant_inst,[status(thm)],[])).
% 76.20/48.00 tff(3896,plain,
% 76.20/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 76.20/48.00 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 76.20/48.00 tff(3897,plain,
% 76.20/48.00 (~v101(constB31)),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3896, 307, 3890, 3887])).
% 76.20/48.00 tff(3898,plain,
% 76.20/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3899,plain,
% 76.20/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 76.20/48.00 inference(quant_inst,[status(thm)],[])).
% 76.20/48.00 tff(3900,plain,
% 76.20/48.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 76.20/48.00 inference(modus_ponens,[status(thm)],[3899, 3898])).
% 76.20/48.00 tff(3901,plain,
% 76.20/48.00 (v101(constB31) | (~v100(constB31))),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3900, 324, 3890])).
% 76.20/48.00 tff(3902,plain,
% 76.20/48.00 (~v100(constB31)),
% 76.20/48.00 inference(unit_resolution,[status(thm)],[3901, 3897])).
% 76.20/48.00 tff(3903,plain,
% 76.20/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3904,plain,
% 76.20/48.00 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 76.20/48.00 inference(rewrite,[status(thm)],[])).
% 76.20/48.00 tff(3905,plain,
% 76.20/48.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 76.20/48.01 inference(monotonicity,[status(thm)],[3904])).
% 76.20/48.01 tff(3906,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 76.20/48.01 inference(transitivity,[status(thm)],[3905, 3903])).
% 76.20/48.01 tff(3907,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3908,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 76.20/48.01 tff(3909,plain,
% 76.20/48.01 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3908, 339, 3890])).
% 76.20/48.01 tff(3910,plain,
% 76.20/48.01 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3909, 3902])).
% 76.20/48.01 tff(3911,plain,
% 76.20/48.01 (~v90(constB31, bitIndex2)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3910, 3884])).
% 76.20/48.01 tff(3912,plain,
% 76.20/48.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3913,plain,
% 76.20/48.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3914,plain,
% 76.20/48.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 76.20/48.01 tff(3915,plain,
% 76.20/48.01 (v130(constB29, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3914, 1321, 3789])).
% 76.20/48.01 tff(3916,plain,
% 76.20/48.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3917,plain,
% 76.20/48.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3918,plain,
% 76.20/48.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 76.20/48.01 tff(3919,plain,
% 76.20/48.01 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3918, 1031, 3813])).
% 76.20/48.01 tff(3920,plain,
% 76.20/48.01 (v127(constB29, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3919, 3915])).
% 76.20/48.01 tff(3921,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3922,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3923,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3922, 3921])).
% 76.20/48.01 tff(3924,plain,
% 76.20/48.01 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3923, 1046, 3825])).
% 76.20/48.01 tff(3925,plain,
% 76.20/48.01 (v129(constB30, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3924, 3920])).
% 76.20/48.01 tff(3926,plain,
% 76.20/48.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3927,plain,
% 76.20/48.01 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3928,plain,
% 76.20/48.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 76.20/48.01 inference(monotonicity,[status(thm)],[3927])).
% 76.20/48.01 tff(3929,plain,
% 76.20/48.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 76.20/48.01 inference(transitivity,[status(thm)],[3928, 3926])).
% 76.20/48.01 tff(3930,plain,
% 76.20/48.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3931,plain,
% 76.20/48.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 76.20/48.01 tff(3932,plain,
% 76.20/48.01 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3931, 1061, 3925])).
% 76.20/48.01 tff(3933,plain,
% 76.20/48.01 (v90(constB30, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3932, 3859])).
% 76.20/48.01 tff(3934,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3935,plain,
% 76.20/48.01 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3936,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 76.20/48.01 inference(monotonicity,[status(thm)],[3935])).
% 76.20/48.01 tff(3937,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 76.20/48.01 inference(transitivity,[status(thm)],[3936, 3934])).
% 76.20/48.01 tff(3938,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3939,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3938, 3937])).
% 76.20/48.01 tff(3940,plain,
% 76.20/48.01 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3939, 1079, 3890])).
% 76.20/48.01 tff(3941,plain,
% 76.20/48.01 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3940, 3902])).
% 76.20/48.01 tff(3942,plain,
% 76.20/48.01 (v90(constB31, bitIndex1)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3941, 3933])).
% 76.20/48.01 tff(3943,plain,
% 76.20/48.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3944,plain,
% 76.20/48.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3945,plain,
% 76.20/48.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 76.20/48.01 tff(3946,plain,
% 76.20/48.01 (v130(constB29, bitIndex0)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3945, 1362, 3789])).
% 76.20/48.01 tff(3947,plain,
% 76.20/48.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3948,plain,
% 76.20/48.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3949,plain,
% 76.20/48.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 76.20/48.01 tff(3950,plain,
% 76.20/48.01 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3949, 788, 3813])).
% 76.20/48.01 tff(3951,plain,
% 76.20/48.01 (v127(constB29, bitIndex0)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3950, 3946])).
% 76.20/48.01 tff(3952,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3953,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3954,plain,
% 76.20/48.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 76.20/48.01 tff(3955,plain,
% 76.20/48.01 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3954, 803, 3825])).
% 76.20/48.01 tff(3956,plain,
% 76.20/48.01 (v129(constB30, bitIndex0)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3955, 3951])).
% 76.20/48.01 tff(3957,plain,
% 76.20/48.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3958,plain,
% 76.20/48.01 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 76.20/48.01 inference(rewrite,[status(thm)],[])).
% 76.20/48.01 tff(3959,plain,
% 76.20/48.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 76.20/48.01 inference(monotonicity,[status(thm)],[3958])).
% 76.20/48.01 tff(3960,plain,
% 76.20/48.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 76.20/48.01 inference(transitivity,[status(thm)],[3959, 3957])).
% 76.20/48.01 tff(3961,plain,
% 76.20/48.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 76.20/48.01 inference(quant_inst,[status(thm)],[])).
% 76.20/48.01 tff(3962,plain,
% 76.20/48.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 76.20/48.01 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 76.20/48.01 tff(3963,plain,
% 76.20/48.01 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3962, 818, 3956])).
% 76.20/48.01 tff(3964,plain,
% 76.20/48.01 (v90(constB30, bitIndex0)),
% 76.20/48.01 inference(unit_resolution,[status(thm)],[3963, 3859])).
% 76.20/48.01 tff(3965,plain,
% 76.20/48.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3966,plain,
% 76.20/48.02 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3967,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 76.20/48.02 inference(monotonicity,[status(thm)],[3966])).
% 76.20/48.02 tff(3968,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 76.20/48.02 inference(transitivity,[status(thm)],[3967, 3965])).
% 76.20/48.02 tff(3969,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3970,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 76.20/48.02 tff(3971,plain,
% 76.20/48.02 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3970, 836, 3890])).
% 76.20/48.02 tff(3972,plain,
% 76.20/48.02 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3971, 3902])).
% 76.20/48.02 tff(3973,plain,
% 76.20/48.02 (v90(constB31, bitIndex0)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3972, 3964])).
% 76.20/48.02 tff(3974,plain,
% 76.20/48.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3975,plain,
% 76.20/48.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3976,plain,
% 76.20/48.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 76.20/48.02 tff(3977,plain,
% 76.20/48.02 (v122(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3976, 1403, 3973, 3942, 3911])).
% 76.20/48.02 tff(3978,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3979,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3980,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 76.20/48.02 tff(3981,plain,
% 76.20/48.02 (v116(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3980, 1470, 3977])).
% 76.20/48.02 tff(3982,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3983,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3984,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 76.20/48.02 tff(3985,plain,
% 76.20/48.02 (v115(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3984, 519, 3981])).
% 76.20/48.02 tff(3986,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3987,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3988,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 76.20/48.02 tff(3989,plain,
% 76.20/48.02 (v114(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3988, 530, 3985])).
% 76.20/48.02 tff(3990,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3991,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3992,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[3991, 3990])).
% 76.20/48.02 tff(3993,plain,
% 76.20/48.02 (v113(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3992, 541, 3989])).
% 76.20/48.02 tff(3994,assumption,(v26(constB31)), introduced(assumption)).
% 76.20/48.02 tff(3995,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(3996,plain,
% 76.20/48.02 ($false),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[3995, 14, 3994])).
% 76.20/48.02 tff(3997,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 76.20/48.02 tff(3998,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(3999,plain,
% 76.20/48.02 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4000,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31))))),
% 76.20/48.02 inference(monotonicity,[status(thm)],[3999])).
% 76.20/48.02 tff(4001,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 76.20/48.02 inference(transitivity,[status(thm)],[4000, 3998])).
% 76.20/48.02 tff(4002,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(4003,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4002, 4001])).
% 76.20/48.02 tff(4004,plain,
% 76.20/48.02 (v112(constB31) | (~v113(constB31))),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4003, 555, 3997])).
% 76.20/48.02 tff(4005,plain,
% 76.20/48.02 (v112(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4004, 3993])).
% 76.20/48.02 tff(4006,plain,
% 76.20/48.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4007,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(4008,plain,
% 76.20/48.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 76.20/48.02 tff(4009,plain,
% 76.20/48.02 (v108(constB31)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4008, 464, 4005])).
% 76.20/48.02 tff(4010,plain,
% 76.20/48.02 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4011,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 76.20/48.02 tff(4012,plain,
% 76.20/48.02 (nextState(constB31, constB32)),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 76.20/48.02 tff(4013,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4014,plain,
% 76.20/48.02 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4015,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 76.20/48.02 inference(monotonicity,[status(thm)],[4014])).
% 76.20/48.02 tff(4016,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 76.20/48.02 inference(transitivity,[status(thm)],[4015, 4013])).
% 76.20/48.02 tff(4017,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(4018,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4017, 4016])).
% 76.20/48.02 tff(4019,plain,
% 76.20/48.02 (v110(constB32) | (~v108(constB31))),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4018, 571, 4012])).
% 76.20/48.02 tff(4020,plain,
% 76.20/48.02 (v110(constB32)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4019, 4009])).
% 76.20/48.02 tff(4021,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4022,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(4023,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 76.20/48.02 tff(4024,plain,
% 76.20/48.02 (~v104(constB32)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4023, 589, 4012, 3887])).
% 76.20/48.02 tff(4025,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4026,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(4027,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 76.20/48.02 tff(4028,plain,
% 76.20/48.02 (v102(constB32) | v104(constB32)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4027, 603, 4012])).
% 76.20/48.02 tff(4029,plain,
% 76.20/48.02 (v102(constB32)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4028, 4024])).
% 76.20/48.02 tff(4030,plain,
% 76.20/48.02 (v1(constB32) <=> v1(constB32)),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4031,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 76.20/48.02 tff(4032,plain,
% 76.20/48.02 (v1(constB32)),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 76.20/48.02 tff(4033,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 76.20/48.02 inference(rewrite,[status(thm)],[])).
% 76.20/48.02 tff(4034,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 76.20/48.02 inference(quant_inst,[status(thm)],[])).
% 76.20/48.02 tff(4035,plain,
% 76.20/48.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 76.20/48.02 inference(modus_ponens,[status(thm)],[4034, 4033])).
% 76.20/48.02 tff(4036,plain,
% 76.20/48.02 (v101(constB32) | (~v102(constB32))),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4035, 621, 4012, 4032])).
% 76.20/48.02 tff(4037,plain,
% 76.20/48.02 (v101(constB32)),
% 76.20/48.02 inference(unit_resolution,[status(thm)],[4036, 4029])).
% 76.20/48.02 tff(4038,plain,
% 76.20/48.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4039,plain,
% 76.20/48.03 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4040,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 76.20/48.03 inference(monotonicity,[status(thm)],[4039])).
% 76.20/48.03 tff(4041,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 76.20/48.03 inference(transitivity,[status(thm)],[4040, 4038])).
% 76.20/48.03 tff(4042,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4043,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 76.20/48.03 tff(4044,plain,
% 76.20/48.03 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4043, 636, 4012])).
% 76.20/48.03 tff(4045,plain,
% 76.20/48.03 (v100(constB32) | (~v110(constB32))),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4044, 4037])).
% 76.20/48.03 tff(4046,plain,
% 76.20/48.03 (v100(constB32)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4045, 4020])).
% 76.20/48.03 tff(4047,plain,
% 76.20/48.03 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4048,plain,
% 76.20/48.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4049,plain,
% 76.20/48.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4048, 4047])).
% 76.20/48.03 tff(4050,plain,
% 76.20/48.03 (v130(constB31, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4049, 1417, 3977])).
% 76.20/48.03 tff(4051,plain,
% 76.20/48.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4052,plain,
% 76.20/48.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4053,plain,
% 76.20/48.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 76.20/48.03 tff(4054,plain,
% 76.20/48.03 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4053, 1431, 3997])).
% 76.20/48.03 tff(4055,plain,
% 76.20/48.03 (v127(constB31, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4054, 4050])).
% 76.20/48.03 tff(4056,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4057,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4058,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 76.20/48.03 tff(4059,plain,
% 76.20/48.03 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4058, 1449, 4012])).
% 76.20/48.03 tff(4060,plain,
% 76.20/48.03 (v129(constB32, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4059, 4055])).
% 76.20/48.03 tff(4061,plain,
% 76.20/48.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4062,plain,
% 76.20/48.03 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4063,plain,
% 76.20/48.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 76.20/48.03 inference(monotonicity,[status(thm)],[4062])).
% 76.20/48.03 tff(4064,plain,
% 76.20/48.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 76.20/48.03 inference(transitivity,[status(thm)],[4063, 4061])).
% 76.20/48.03 tff(4065,plain,
% 76.20/48.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4066,plain,
% 76.20/48.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 76.20/48.03 tff(4067,plain,
% 76.20/48.03 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4066, 1539, 4060])).
% 76.20/48.03 tff(4068,plain,
% 76.20/48.03 (v90(constB32, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4067, 4046])).
% 76.20/48.03 tff(4069,plain,
% 76.20/48.03 ((~v1(constB33)) <=> (~v1(constB33))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4070,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 76.20/48.03 tff(4071,plain,
% 76.20/48.03 (~v1(constB33)),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 76.20/48.03 tff(4072,plain,
% 76.20/48.03 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4073,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 76.20/48.03 tff(4074,plain,
% 76.20/48.03 (nextState(constB32, constB33)),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 76.20/48.03 tff(4075,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4076,plain,
% 76.20/48.03 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4077,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 76.20/48.03 inference(monotonicity,[status(thm)],[4076])).
% 76.20/48.03 tff(4078,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 76.20/48.03 inference(transitivity,[status(thm)],[4077, 4075])).
% 76.20/48.03 tff(4079,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4080,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 76.20/48.03 tff(4081,plain,
% 76.20/48.03 (~v101(constB33)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4080, 307, 4074, 4071])).
% 76.20/48.03 tff(4082,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4083,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4084,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 76.20/48.03 tff(4085,plain,
% 76.20/48.03 (v101(constB33) | (~v100(constB33))),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4084, 324, 4074])).
% 76.20/48.03 tff(4086,plain,
% 76.20/48.03 (~v100(constB33)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4085, 4081])).
% 76.20/48.03 tff(4087,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4088,plain,
% 76.20/48.03 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4089,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 76.20/48.03 inference(monotonicity,[status(thm)],[4088])).
% 76.20/48.03 tff(4090,plain,
% 76.20/48.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 76.20/48.03 inference(transitivity,[status(thm)],[4089, 4087])).
% 76.20/48.03 tff(4091,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4092,plain,
% 76.20/48.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 76.20/48.03 tff(4093,plain,
% 76.20/48.03 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4092, 1575, 4074])).
% 76.20/48.03 tff(4094,plain,
% 76.20/48.03 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4093, 4086])).
% 76.20/48.03 tff(4095,plain,
% 76.20/48.03 (v90(constB33, bitIndex2)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4094, 4068])).
% 76.20/48.03 tff(4096,plain,
% 76.20/48.03 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4097,plain,
% 76.20/48.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 76.20/48.03 inference(quant_inst,[status(thm)],[])).
% 76.20/48.03 tff(4098,plain,
% 76.20/48.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 76.20/48.03 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 76.20/48.03 tff(4099,plain,
% 76.20/48.03 (~v130(constB31, bitIndex1)),
% 76.20/48.03 inference(unit_resolution,[status(thm)],[4098, 1594, 3977])).
% 76.20/48.03 tff(4100,plain,
% 76.20/48.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4101,plain,
% 76.20/48.03 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 76.20/48.03 inference(rewrite,[status(thm)],[])).
% 76.20/48.03 tff(4102,plain,
% 76.20/48.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 76.20/48.04 inference(monotonicity,[status(thm)],[4101])).
% 76.20/48.04 tff(4103,plain,
% 76.20/48.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 76.20/48.04 inference(transitivity,[status(thm)],[4102, 4100])).
% 76.20/48.04 tff(4104,plain,
% 76.20/48.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4105,plain,
% 76.20/48.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 76.20/48.04 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 76.20/48.04 tff(4106,plain,
% 76.20/48.04 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4105, 714, 3997])).
% 76.20/48.04 tff(4107,plain,
% 76.20/48.04 (~v127(constB31, bitIndex1)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4106, 4099])).
% 76.20/48.04 tff(4108,plain,
% 76.20/48.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4109,plain,
% 76.20/48.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4110,plain,
% 76.20/48.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 76.20/48.04 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 76.20/48.04 tff(4111,plain,
% 76.20/48.04 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4110, 732, 4012])).
% 76.20/48.04 tff(4112,plain,
% 76.20/48.04 (~v129(constB32, bitIndex1)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4111, 4107])).
% 76.20/48.04 tff(4113,plain,
% 76.20/48.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4114,plain,
% 76.20/48.04 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4115,plain,
% 76.20/48.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 76.20/48.04 inference(monotonicity,[status(thm)],[4114])).
% 76.20/48.04 tff(4116,plain,
% 76.20/48.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 76.20/48.04 inference(transitivity,[status(thm)],[4115, 4113])).
% 76.20/48.04 tff(4117,plain,
% 76.20/48.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4118,plain,
% 76.20/48.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 76.20/48.04 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 76.20/48.04 tff(4119,plain,
% 76.20/48.04 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4118, 747, 4112])).
% 76.20/48.04 tff(4120,plain,
% 76.20/48.04 (~v90(constB32, bitIndex1)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4119, 4046])).
% 76.20/48.04 tff(4121,plain,
% 76.20/48.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4122,plain,
% 76.20/48.04 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4123,plain,
% 76.20/48.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 76.20/48.04 inference(monotonicity,[status(thm)],[4122])).
% 76.20/48.04 tff(4124,plain,
% 76.20/48.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 76.20/48.04 inference(transitivity,[status(thm)],[4123, 4121])).
% 76.20/48.04 tff(4125,plain,
% 76.20/48.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4126,plain,
% 76.20/48.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 76.20/48.04 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 76.20/48.04 tff(4127,plain,
% 76.20/48.04 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4126, 360, 4074])).
% 76.20/48.04 tff(4128,plain,
% 76.20/48.04 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4127, 4086])).
% 76.20/48.04 tff(4129,plain,
% 76.20/48.04 (~v90(constB33, bitIndex1)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4128, 4120])).
% 76.20/48.04 tff(4130,plain,
% 76.20/48.04 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4131,plain,
% 76.20/48.04 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4132,plain,
% 76.20/48.04 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 76.20/48.04 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 76.20/48.04 tff(4133,plain,
% 76.20/48.04 (~v130(constB31, bitIndex0)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4132, 1638, 3977])).
% 76.20/48.04 tff(4134,plain,
% 76.20/48.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4135,plain,
% 76.20/48.04 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4136,plain,
% 76.20/48.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 76.20/48.04 inference(monotonicity,[status(thm)],[4135])).
% 76.20/48.04 tff(4137,plain,
% 76.20/48.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 76.20/48.04 inference(transitivity,[status(thm)],[4136, 4134])).
% 76.20/48.04 tff(4138,plain,
% 76.20/48.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4139,plain,
% 76.20/48.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 76.20/48.04 inference(modus_ponens,[status(thm)],[4138, 4137])).
% 76.20/48.04 tff(4140,plain,
% 76.20/48.04 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4139, 1112, 3997])).
% 76.20/48.04 tff(4141,plain,
% 76.20/48.04 (~v127(constB31, bitIndex0)),
% 76.20/48.04 inference(unit_resolution,[status(thm)],[4140, 4133])).
% 76.20/48.04 tff(4142,plain,
% 76.20/48.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 76.20/48.04 inference(rewrite,[status(thm)],[])).
% 76.20/48.04 tff(4143,plain,
% 76.20/48.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 76.20/48.04 inference(quant_inst,[status(thm)],[])).
% 76.20/48.04 tff(4144,plain,
% 76.20/48.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4143, 4142])).
% 76.20/48.05 tff(4145,plain,
% 76.20/48.05 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4144, 1130, 4012])).
% 76.20/48.05 tff(4146,plain,
% 76.20/48.05 (~v129(constB32, bitIndex0)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4145, 4141])).
% 76.20/48.05 tff(4147,plain,
% 76.20/48.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4148,plain,
% 76.20/48.05 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4149,plain,
% 76.20/48.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 76.20/48.05 inference(monotonicity,[status(thm)],[4148])).
% 76.20/48.05 tff(4150,plain,
% 76.20/48.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 76.20/48.05 inference(transitivity,[status(thm)],[4149, 4147])).
% 76.20/48.05 tff(4151,plain,
% 76.20/48.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4152,plain,
% 76.20/48.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4151, 4150])).
% 76.20/48.05 tff(4153,plain,
% 76.20/48.05 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4152, 1145, 4146])).
% 76.20/48.05 tff(4154,plain,
% 76.20/48.05 (~v90(constB32, bitIndex0)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4153, 4046])).
% 76.20/48.05 tff(4155,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4156,plain,
% 76.20/48.05 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4157,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 76.20/48.05 inference(monotonicity,[status(thm)],[4156])).
% 76.20/48.05 tff(4158,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 76.20/48.05 inference(transitivity,[status(thm)],[4157, 4155])).
% 76.20/48.05 tff(4159,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4160,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4159, 4158])).
% 76.20/48.05 tff(4161,plain,
% 76.20/48.05 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4160, 381, 4074])).
% 76.20/48.05 tff(4162,plain,
% 76.20/48.05 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4161, 4086])).
% 76.20/48.05 tff(4163,plain,
% 76.20/48.05 (~v90(constB33, bitIndex0)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4162, 4154])).
% 76.20/48.05 tff(4164,plain,
% 76.20/48.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4165,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4166,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 76.20/48.05 tff(4167,plain,
% 76.20/48.05 (v123(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4166, 1682, 4163, 4129, 4095])).
% 76.20/48.05 tff(4168,plain,
% 76.20/48.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4169,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4170,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 76.20/48.05 tff(4171,plain,
% 76.20/48.05 (v115(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4170, 1693, 4167])).
% 76.20/48.05 tff(4172,plain,
% 76.20/48.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4173,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4174,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 76.20/48.05 tff(4175,plain,
% 76.20/48.05 (v114(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4174, 530, 4171])).
% 76.20/48.05 tff(4176,plain,
% 76.20/48.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4177,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4178,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 76.20/48.05 tff(4179,plain,
% 76.20/48.05 (v113(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4178, 541, 4175])).
% 76.20/48.05 tff(4180,assumption,(v26(constB33)), introduced(assumption)).
% 76.20/48.05 tff(4181,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4182,plain,
% 76.20/48.05 ($false),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4181, 14, 4180])).
% 76.20/48.05 tff(4183,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 76.20/48.05 tff(4184,plain,
% 76.20/48.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4185,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4186,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 76.20/48.05 tff(4187,plain,
% 76.20/48.05 ((~v113(constB33)) | v112(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4186, 555, 4183])).
% 76.20/48.05 tff(4188,plain,
% 76.20/48.05 (v112(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4187, 4179])).
% 76.20/48.05 tff(4189,plain,
% 76.20/48.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4190,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4191,plain,
% 76.20/48.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4190, 4189])).
% 76.20/48.05 tff(4192,plain,
% 76.20/48.05 (v108(constB33)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4191, 464, 4188])).
% 76.20/48.05 tff(4193,plain,
% 76.20/48.05 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4194,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 76.20/48.05 tff(4195,plain,
% 76.20/48.05 (nextState(constB33, constB34)),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4194, 4193])).
% 76.20/48.05 tff(4196,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4197,plain,
% 76.20/48.05 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4198,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 76.20/48.05 inference(monotonicity,[status(thm)],[4197])).
% 76.20/48.05 tff(4199,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 76.20/48.05 inference(transitivity,[status(thm)],[4198, 4196])).
% 76.20/48.05 tff(4200,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4201,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 76.20/48.05 tff(4202,plain,
% 76.20/48.05 (v110(constB34) | (~v108(constB33))),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4201, 571, 4195])).
% 76.20/48.05 tff(4203,plain,
% 76.20/48.05 (v110(constB34)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4202, 4192])).
% 76.20/48.05 tff(4204,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4205,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4206,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 76.20/48.05 tff(4207,plain,
% 76.20/48.05 (~v104(constB34)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4206, 589, 4195, 4071])).
% 76.20/48.05 tff(4208,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4209,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 76.20/48.05 inference(quant_inst,[status(thm)],[])).
% 76.20/48.05 tff(4210,plain,
% 76.20/48.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 76.20/48.05 tff(4211,plain,
% 76.20/48.05 (v102(constB34) | v104(constB34)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4210, 603, 4195])).
% 76.20/48.05 tff(4212,plain,
% 76.20/48.05 (v102(constB34)),
% 76.20/48.05 inference(unit_resolution,[status(thm)],[4211, 4207])).
% 76.20/48.05 tff(4213,plain,
% 76.20/48.05 (v1(constB34) <=> v1(constB34)),
% 76.20/48.05 inference(rewrite,[status(thm)],[])).
% 76.20/48.05 tff(4214,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 76.20/48.05 tff(4215,plain,
% 76.20/48.05 (v1(constB34)),
% 76.20/48.05 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 76.20/48.05 tff(4216,plain,
% 76.20/48.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4217,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4218,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 76.20/48.06 tff(4219,plain,
% 76.20/48.06 (v101(constB34) | (~v102(constB34))),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4218, 621, 4195, 4215])).
% 76.20/48.06 tff(4220,plain,
% 76.20/48.06 (v101(constB34)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4219, 4212])).
% 76.20/48.06 tff(4221,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4222,plain,
% 76.20/48.06 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4223,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 76.20/48.06 inference(monotonicity,[status(thm)],[4222])).
% 76.20/48.06 tff(4224,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 76.20/48.06 inference(transitivity,[status(thm)],[4223, 4221])).
% 76.20/48.06 tff(4225,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4226,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 76.20/48.06 tff(4227,plain,
% 76.20/48.06 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4226, 636, 4195])).
% 76.20/48.06 tff(4228,plain,
% 76.20/48.06 (v100(constB34) | (~v110(constB34))),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4227, 4220])).
% 76.20/48.06 tff(4229,plain,
% 76.20/48.06 (v100(constB34)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4228, 4203])).
% 76.20/48.06 tff(4230,plain,
% 76.20/48.06 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4231,plain,
% 76.20/48.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4232,plain,
% 76.20/48.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 76.20/48.06 tff(4233,plain,
% 76.20/48.06 (v130(constB33, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4232, 1877, 4167])).
% 76.20/48.06 tff(4234,plain,
% 76.20/48.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4235,plain,
% 76.20/48.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4236,plain,
% 76.20/48.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 76.20/48.06 tff(4237,plain,
% 76.20/48.06 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4236, 1431, 4183])).
% 76.20/48.06 tff(4238,plain,
% 76.20/48.06 (v127(constB33, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4237, 4233])).
% 76.20/48.06 tff(4239,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4240,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4241,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4240, 4239])).
% 76.20/48.06 tff(4242,plain,
% 76.20/48.06 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4241, 1449, 4195])).
% 76.20/48.06 tff(4243,plain,
% 76.20/48.06 (v129(constB34, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4242, 4238])).
% 76.20/48.06 tff(4244,plain,
% 76.20/48.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4245,plain,
% 76.20/48.06 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4246,plain,
% 76.20/48.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 76.20/48.06 inference(monotonicity,[status(thm)],[4245])).
% 76.20/48.06 tff(4247,plain,
% 76.20/48.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 76.20/48.06 inference(transitivity,[status(thm)],[4246, 4244])).
% 76.20/48.06 tff(4248,plain,
% 76.20/48.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4249,plain,
% 76.20/48.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 76.20/48.06 tff(4250,plain,
% 76.20/48.06 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4249, 1539, 4243])).
% 76.20/48.06 tff(4251,plain,
% 76.20/48.06 (v90(constB34, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4250, 4229])).
% 76.20/48.06 tff(4252,plain,
% 76.20/48.06 ((~v1(constB35)) <=> (~v1(constB35))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4253,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 76.20/48.06 tff(4254,plain,
% 76.20/48.06 (~v1(constB35)),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4253, 4252])).
% 76.20/48.06 tff(4255,plain,
% 76.20/48.06 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4256,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 76.20/48.06 tff(4257,plain,
% 76.20/48.06 (nextState(constB34, constB35)),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4256, 4255])).
% 76.20/48.06 tff(4258,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4259,plain,
% 76.20/48.06 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4260,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 76.20/48.06 inference(monotonicity,[status(thm)],[4259])).
% 76.20/48.06 tff(4261,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 76.20/48.06 inference(transitivity,[status(thm)],[4260, 4258])).
% 76.20/48.06 tff(4262,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4263,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 76.20/48.06 tff(4264,plain,
% 76.20/48.06 (~v101(constB35)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4263, 307, 4257, 4254])).
% 76.20/48.06 tff(4265,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4266,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4267,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 76.20/48.06 tff(4268,plain,
% 76.20/48.06 (v101(constB35) | (~v100(constB35))),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4267, 324, 4257])).
% 76.20/48.06 tff(4269,plain,
% 76.20/48.06 (~v100(constB35)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4268, 4264])).
% 76.20/48.06 tff(4270,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4271,plain,
% 76.20/48.06 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4272,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 76.20/48.06 inference(monotonicity,[status(thm)],[4271])).
% 76.20/48.06 tff(4273,plain,
% 76.20/48.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 76.20/48.06 inference(transitivity,[status(thm)],[4272, 4270])).
% 76.20/48.06 tff(4274,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 76.20/48.06 inference(quant_inst,[status(thm)],[])).
% 76.20/48.06 tff(4275,plain,
% 76.20/48.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 76.20/48.06 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 76.20/48.06 tff(4276,plain,
% 76.20/48.06 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4275, 1575, 4257])).
% 76.20/48.06 tff(4277,plain,
% 76.20/48.06 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4276, 4269])).
% 76.20/48.06 tff(4278,plain,
% 76.20/48.06 (v90(constB35, bitIndex2)),
% 76.20/48.06 inference(unit_resolution,[status(thm)],[4277, 4251])).
% 76.20/48.06 tff(4279,plain,
% 76.20/48.06 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 76.20/48.06 inference(rewrite,[status(thm)],[])).
% 76.20/48.06 tff(4280,plain,
% 76.20/48.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4281,plain,
% 76.20/48.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1))),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4280, 4279])).
% 76.20/48.07 tff(4282,plain,
% 76.20/48.07 (~v130(constB33, bitIndex1)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4281, 1765, 4167])).
% 76.20/48.07 tff(4283,plain,
% 76.20/48.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4284,plain,
% 76.20/48.07 ((v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1))) <=> ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4285,plain,
% 76.20/48.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)))),
% 76.20/48.07 inference(monotonicity,[status(thm)],[4284])).
% 76.20/48.07 tff(4286,plain,
% 76.20/48.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 76.20/48.07 inference(transitivity,[status(thm)],[4285, 4283])).
% 76.20/48.07 tff(4287,plain,
% 76.20/48.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4288,plain,
% 76.20/48.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 76.20/48.07 tff(4289,plain,
% 76.20/48.07 ((~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4288, 714, 4183])).
% 76.20/48.07 tff(4290,plain,
% 76.20/48.07 (~v127(constB33, bitIndex1)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4289, 4282])).
% 76.20/48.07 tff(4291,plain,
% 76.20/48.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4292,plain,
% 76.20/48.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4293,plain,
% 76.20/48.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 76.20/48.07 tff(4294,plain,
% 76.20/48.07 (v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4293, 732, 4195])).
% 76.20/48.07 tff(4295,plain,
% 76.20/48.07 (~v129(constB34, bitIndex1)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4294, 4290])).
% 76.20/48.07 tff(4296,plain,
% 76.20/48.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4297,plain,
% 76.20/48.07 (((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4298,plain,
% 76.20/48.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))))),
% 76.20/48.07 inference(monotonicity,[status(thm)],[4297])).
% 76.20/48.07 tff(4299,plain,
% 76.20/48.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 76.20/48.07 inference(transitivity,[status(thm)],[4298, 4296])).
% 76.20/48.07 tff(4300,plain,
% 76.20/48.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4301,plain,
% 76.20/48.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4300, 4299])).
% 76.20/48.07 tff(4302,plain,
% 76.20/48.07 ((~v90(constB34, bitIndex1)) | (~v100(constB34))),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4301, 747, 4295])).
% 76.20/48.07 tff(4303,plain,
% 76.20/48.07 (~v90(constB34, bitIndex1)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4302, 4229])).
% 76.20/48.07 tff(4304,plain,
% 76.20/48.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4305,plain,
% 76.20/48.07 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4306,plain,
% 76.20/48.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))))),
% 76.20/48.07 inference(monotonicity,[status(thm)],[4305])).
% 76.20/48.07 tff(4307,plain,
% 76.20/48.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 76.20/48.07 inference(transitivity,[status(thm)],[4306, 4304])).
% 76.20/48.07 tff(4308,plain,
% 76.20/48.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4309,plain,
% 76.20/48.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 76.20/48.07 tff(4310,plain,
% 76.20/48.07 (v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4309, 360, 4257])).
% 76.20/48.07 tff(4311,plain,
% 76.20/48.07 (v90(constB34, bitIndex1) | (~v90(constB35, bitIndex1))),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4310, 4269])).
% 76.20/48.07 tff(4312,plain,
% 76.20/48.07 (~v90(constB35, bitIndex1)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4311, 4303])).
% 76.20/48.07 tff(4313,plain,
% 76.20/48.07 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4314,plain,
% 76.20/48.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4315,plain,
% 76.20/48.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0)),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 76.20/48.07 tff(4316,plain,
% 76.20/48.07 (v130(constB33, bitIndex0)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4315, 1836, 4167])).
% 76.20/48.07 tff(4317,plain,
% 76.20/48.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4318,plain,
% 76.20/48.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4319,plain,
% 76.20/48.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 76.20/48.07 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 76.20/48.07 tff(4320,plain,
% 76.20/48.07 ((~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4319, 788, 4183])).
% 76.20/48.07 tff(4321,plain,
% 76.20/48.07 (v127(constB33, bitIndex0)),
% 76.20/48.07 inference(unit_resolution,[status(thm)],[4320, 4316])).
% 76.20/48.07 tff(4322,plain,
% 76.20/48.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 76.20/48.07 inference(rewrite,[status(thm)],[])).
% 76.20/48.07 tff(4323,plain,
% 76.20/48.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 76.20/48.07 inference(quant_inst,[status(thm)],[])).
% 76.20/48.07 tff(4324,plain,
% 76.20/48.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 76.20/48.08 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 76.20/48.08 tff(4325,plain,
% 76.20/48.08 ((~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 76.20/48.08 inference(unit_resolution,[status(thm)],[4324, 803, 4195])).
% 76.20/48.08 tff(4326,plain,
% 76.20/48.08 (v129(constB34, bitIndex0)),
% 76.20/48.08 inference(unit_resolution,[status(thm)],[4325, 4321])).
% 76.20/48.08 tff(4327,plain,
% 76.20/48.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 76.20/48.08 inference(rewrite,[status(thm)],[])).
% 76.20/48.08 tff(4328,plain,
% 76.20/48.08 ((v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 76.20/48.08 inference(rewrite,[status(thm)],[])).
% 76.20/48.08 tff(4329,plain,
% 76.20/48.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))))),
% 76.20/48.08 inference(monotonicity,[status(thm)],[4328])).
% 76.20/48.08 tff(4330,plain,
% 76.20/48.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 76.20/48.08 inference(transitivity,[status(thm)],[4329, 4327])).
% 76.20/48.08 tff(4331,plain,
% 76.20/48.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))),
% 76.20/48.08 inference(quant_inst,[status(thm)],[])).
% 76.20/48.08 tff(4332,plain,
% 76.20/48.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))),
% 76.20/48.08 inference(modus_ponens,[status(thm)],[4331, 4330])).
% 76.20/48.08 tff(4333,plain,
% 76.20/48.08 (v90(constB34, bitIndex0) | (~v100(constB34))),
% 76.20/48.08 inference(unit_resolution,[status(thm)],[4332, 818, 4326])).
% 76.20/48.08 tff(4334,plain,
% 76.20/48.08 (v90(constB34, bitIndex0)),
% 76.20/48.08 inference(unit_resolution,[status(thm)],[4333, 4229])).
% 76.20/48.08 tff(4335,plain,
% 76.20/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4336,plain,
% 76.28/48.08 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4337,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)))),
% 76.28/48.08 inference(monotonicity,[status(thm)],[4336])).
% 76.28/48.08 tff(4338,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 76.28/48.08 inference(transitivity,[status(thm)],[4337, 4335])).
% 76.28/48.08 tff(4339,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4340,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4339, 4338])).
% 76.28/48.08 tff(4341,plain,
% 76.28/48.08 ((~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4340, 836, 4257])).
% 76.28/48.08 tff(4342,plain,
% 76.28/48.08 ((~v90(constB34, bitIndex0)) | v90(constB35, bitIndex0)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4341, 4269])).
% 76.28/48.08 tff(4343,plain,
% 76.28/48.08 (v90(constB35, bitIndex0)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4342, 4334])).
% 76.28/48.08 tff(4344,plain,
% 76.28/48.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4345,plain,
% 76.28/48.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4346,plain,
% 76.28/48.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35)),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 76.28/48.08 tff(4347,plain,
% 76.28/48.08 (v124(constB35)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4346, 1919, 4343, 4312, 4278])).
% 76.28/48.08 tff(4348,plain,
% 76.28/48.08 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4349,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4350,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35))),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 76.28/48.08 tff(4351,plain,
% 76.28/48.08 (v114(constB35)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4350, 1951, 4347])).
% 76.28/48.08 tff(4352,plain,
% 76.28/48.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4353,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4354,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35))),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 76.28/48.08 tff(4355,plain,
% 76.28/48.08 (v113(constB35)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4354, 541, 4351])).
% 76.28/48.08 tff(4356,assumption,(v26(constB35)), introduced(assumption)).
% 76.28/48.08 tff(4357,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4358,plain,
% 76.28/48.08 ($false),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4357, 14, 4356])).
% 76.28/48.08 tff(4359,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 76.28/48.08 tff(4360,plain,
% 76.28/48.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4361,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4362,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35)),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 76.28/48.08 tff(4363,plain,
% 76.28/48.08 ((~v113(constB35)) | v112(constB35)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4362, 555, 4359])).
% 76.28/48.08 tff(4364,plain,
% 76.28/48.08 (v112(constB35)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4363, 4355])).
% 76.28/48.08 tff(4365,plain,
% 76.28/48.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4366,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4367,plain,
% 76.28/48.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35))),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 76.28/48.08 tff(4368,plain,
% 76.28/48.08 (v108(constB35)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4367, 464, 4364])).
% 76.28/48.08 tff(4369,plain,
% 76.28/48.08 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4370,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 76.28/48.08 tff(4371,plain,
% 76.28/48.08 (nextState(constB35, constB36)),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4370, 4369])).
% 76.28/48.08 tff(4372,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4373,plain,
% 76.28/48.08 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4374,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 76.28/48.08 inference(monotonicity,[status(thm)],[4373])).
% 76.28/48.08 tff(4375,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 76.28/48.08 inference(transitivity,[status(thm)],[4374, 4372])).
% 76.28/48.08 tff(4376,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4377,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 76.28/48.08 tff(4378,plain,
% 76.28/48.08 (v110(constB36) | (~v108(constB35))),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4377, 571, 4371])).
% 76.28/48.08 tff(4379,plain,
% 76.28/48.08 (v110(constB36)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4378, 4368])).
% 76.28/48.08 tff(4380,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4381,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4382,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4381, 4380])).
% 76.28/48.08 tff(4383,plain,
% 76.28/48.08 (~v104(constB36)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4382, 589, 4371, 4254])).
% 76.28/48.08 tff(4384,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4385,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4386,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 76.28/48.08 tff(4387,plain,
% 76.28/48.08 (v102(constB36) | v104(constB36)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4386, 603, 4371])).
% 76.28/48.08 tff(4388,plain,
% 76.28/48.08 (v102(constB36)),
% 76.28/48.08 inference(unit_resolution,[status(thm)],[4387, 4383])).
% 76.28/48.08 tff(4389,plain,
% 76.28/48.08 (v1(constB36) <=> v1(constB36)),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4390,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 76.28/48.08 tff(4391,plain,
% 76.28/48.08 (v1(constB36)),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 76.28/48.08 tff(4392,plain,
% 76.28/48.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 76.28/48.08 inference(rewrite,[status(thm)],[])).
% 76.28/48.08 tff(4393,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 76.28/48.08 inference(quant_inst,[status(thm)],[])).
% 76.28/48.08 tff(4394,plain,
% 76.28/48.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 76.28/48.08 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 76.28/48.08 tff(4395,plain,
% 76.28/48.08 (v101(constB36) | (~v102(constB36))),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4394, 621, 4371, 4391])).
% 76.28/48.09 tff(4396,plain,
% 76.28/48.09 (v101(constB36)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4395, 4388])).
% 76.28/48.09 tff(4397,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4398,plain,
% 76.28/48.09 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4399,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 76.28/48.09 inference(monotonicity,[status(thm)],[4398])).
% 76.28/48.09 tff(4400,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 76.28/48.09 inference(transitivity,[status(thm)],[4399, 4397])).
% 76.28/48.09 tff(4401,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4402,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 76.28/48.09 tff(4403,plain,
% 76.28/48.09 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4402, 636, 4371])).
% 76.28/48.09 tff(4404,plain,
% 76.28/48.09 (v100(constB36) | (~v110(constB36))),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4403, 4396])).
% 76.28/48.09 tff(4405,plain,
% 76.28/48.09 (v100(constB36)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4404, 4379])).
% 76.28/48.09 tff(4406,plain,
% 76.28/48.09 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4407,plain,
% 76.28/48.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4408,plain,
% 76.28/48.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4407, 4406])).
% 76.28/48.09 tff(4409,plain,
% 76.28/48.09 (v130(constB35, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4408, 2050, 4347])).
% 76.28/48.09 tff(4410,plain,
% 76.28/48.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4411,plain,
% 76.28/48.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4412,plain,
% 76.28/48.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4411, 4410])).
% 76.28/48.09 tff(4413,plain,
% 76.28/48.09 ((~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4412, 1431, 4359])).
% 76.28/48.09 tff(4414,plain,
% 76.28/48.09 (v127(constB35, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4413, 4409])).
% 76.28/48.09 tff(4415,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4416,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4417,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 76.28/48.09 tff(4418,plain,
% 76.28/48.09 ((~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4417, 1449, 4371])).
% 76.28/48.09 tff(4419,plain,
% 76.28/48.09 (v129(constB36, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4418, 4414])).
% 76.28/48.09 tff(4420,plain,
% 76.28/48.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4421,plain,
% 76.28/48.09 ((v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4422,plain,
% 76.28/48.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))))),
% 76.28/48.09 inference(monotonicity,[status(thm)],[4421])).
% 76.28/48.09 tff(4423,plain,
% 76.28/48.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 76.28/48.09 inference(transitivity,[status(thm)],[4422, 4420])).
% 76.28/48.09 tff(4424,plain,
% 76.28/48.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4425,plain,
% 76.28/48.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 76.28/48.09 tff(4426,plain,
% 76.28/48.09 (v90(constB36, bitIndex2) | (~v100(constB36))),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4425, 1539, 4419])).
% 76.28/48.09 tff(4427,plain,
% 76.28/48.09 (v90(constB36, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4426, 4405])).
% 76.28/48.09 tff(4428,plain,
% 76.28/48.09 ((~v1(constB37)) <=> (~v1(constB37))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4429,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 76.28/48.09 tff(4430,plain,
% 76.28/48.09 (~v1(constB37)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 76.28/48.09 tff(4431,plain,
% 76.28/48.09 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4432,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 76.28/48.09 tff(4433,plain,
% 76.28/48.09 (nextState(constB36, constB37)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 76.28/48.09 tff(4434,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4435,plain,
% 76.28/48.09 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4436,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 76.28/48.09 inference(monotonicity,[status(thm)],[4435])).
% 76.28/48.09 tff(4437,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 76.28/48.09 inference(transitivity,[status(thm)],[4436, 4434])).
% 76.28/48.09 tff(4438,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4439,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 76.28/48.09 tff(4440,plain,
% 76.28/48.09 (~v101(constB37)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4439, 307, 4433, 4430])).
% 76.28/48.09 tff(4441,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4442,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4443,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 76.28/48.09 tff(4444,plain,
% 76.28/48.09 (v101(constB37) | (~v100(constB37))),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4443, 324, 4433])).
% 76.28/48.09 tff(4445,plain,
% 76.28/48.09 (~v100(constB37)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4444, 4440])).
% 76.28/48.09 tff(4446,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4447,plain,
% 76.28/48.09 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4448,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)))),
% 76.28/48.09 inference(monotonicity,[status(thm)],[4447])).
% 76.28/48.09 tff(4449,plain,
% 76.28/48.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 76.28/48.09 inference(transitivity,[status(thm)],[4448, 4446])).
% 76.28/48.09 tff(4450,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4451,plain,
% 76.28/48.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 76.28/48.09 tff(4452,plain,
% 76.28/48.09 ((~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4451, 1575, 4433])).
% 76.28/48.09 tff(4453,plain,
% 76.28/48.09 ((~v90(constB36, bitIndex2)) | v90(constB37, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4452, 4445])).
% 76.28/48.09 tff(4454,plain,
% 76.28/48.09 (v90(constB37, bitIndex2)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4453, 4427])).
% 76.28/48.09 tff(4455,plain,
% 76.28/48.09 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1))),
% 76.28/48.09 inference(rewrite,[status(thm)],[])).
% 76.28/48.09 tff(4456,plain,
% 76.28/48.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))),
% 76.28/48.09 inference(quant_inst,[status(thm)],[])).
% 76.28/48.09 tff(4457,plain,
% 76.28/48.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1)),
% 76.28/48.09 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 76.28/48.09 tff(4458,plain,
% 76.28/48.09 (v130(constB35, bitIndex1)),
% 76.28/48.09 inference(unit_resolution,[status(thm)],[4457, 1936, 4347])).
% 76.28/48.09 tff(4459,plain,
% 76.28/48.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4460,plain,
% 76.28/48.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4461,plain,
% 76.28/48.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 76.28/48.10 tff(4462,plain,
% 76.28/48.10 ((~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4461, 1031, 4359])).
% 76.28/48.10 tff(4463,plain,
% 76.28/48.10 (v127(constB35, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4462, 4458])).
% 76.28/48.10 tff(4464,plain,
% 76.28/48.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4465,plain,
% 76.28/48.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4466,plain,
% 76.28/48.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4465, 4464])).
% 76.28/48.10 tff(4467,plain,
% 76.28/48.10 ((~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4466, 1046, 4371])).
% 76.28/48.10 tff(4468,plain,
% 76.28/48.10 (v129(constB36, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4467, 4463])).
% 76.28/48.10 tff(4469,plain,
% 76.28/48.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4470,plain,
% 76.28/48.10 ((v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4471,plain,
% 76.28/48.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))))),
% 76.28/48.10 inference(monotonicity,[status(thm)],[4470])).
% 76.28/48.10 tff(4472,plain,
% 76.28/48.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 76.28/48.10 inference(transitivity,[status(thm)],[4471, 4469])).
% 76.28/48.10 tff(4473,plain,
% 76.28/48.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4474,plain,
% 76.28/48.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4473, 4472])).
% 76.28/48.10 tff(4475,plain,
% 76.28/48.10 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4474, 1061, 4468])).
% 76.28/48.10 tff(4476,plain,
% 76.28/48.10 (v90(constB36, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4475, 4405])).
% 76.28/48.10 tff(4477,plain,
% 76.28/48.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4478,plain,
% 76.28/48.10 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4479,plain,
% 76.28/48.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)))),
% 76.28/48.10 inference(monotonicity,[status(thm)],[4478])).
% 76.28/48.10 tff(4480,plain,
% 76.28/48.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 76.28/48.10 inference(transitivity,[status(thm)],[4479, 4477])).
% 76.28/48.10 tff(4481,plain,
% 76.28/48.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4482,plain,
% 76.28/48.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4481, 4480])).
% 76.28/48.10 tff(4483,plain,
% 76.28/48.10 ((~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4482, 1079, 4433])).
% 76.28/48.10 tff(4484,plain,
% 76.28/48.10 ((~v90(constB36, bitIndex1)) | v90(constB37, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4483, 4445])).
% 76.28/48.10 tff(4485,plain,
% 76.28/48.10 (v90(constB37, bitIndex1)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4484, 4476])).
% 76.28/48.10 tff(4486,plain,
% 76.28/48.10 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4487,plain,
% 76.28/48.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4488,plain,
% 76.28/48.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0))),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 76.28/48.10 tff(4489,plain,
% 76.28/48.10 (~v130(constB35, bitIndex0)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4488, 2112, 4347])).
% 76.28/48.10 tff(4490,plain,
% 76.28/48.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4491,plain,
% 76.28/48.10 ((v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0))) <=> ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4492,plain,
% 76.28/48.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)))),
% 76.28/48.10 inference(monotonicity,[status(thm)],[4491])).
% 76.28/48.10 tff(4493,plain,
% 76.28/48.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 76.28/48.10 inference(transitivity,[status(thm)],[4492, 4490])).
% 76.28/48.10 tff(4494,plain,
% 76.28/48.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4495,plain,
% 76.28/48.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 76.28/48.10 tff(4496,plain,
% 76.28/48.10 ((~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4495, 1112, 4359])).
% 76.28/48.10 tff(4497,plain,
% 76.28/48.10 (~v127(constB35, bitIndex0)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4496, 4489])).
% 76.28/48.10 tff(4498,plain,
% 76.28/48.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 76.28/48.10 inference(rewrite,[status(thm)],[])).
% 76.28/48.10 tff(4499,plain,
% 76.28/48.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 76.28/48.10 inference(quant_inst,[status(thm)],[])).
% 76.28/48.10 tff(4500,plain,
% 76.28/48.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 76.28/48.10 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 76.28/48.10 tff(4501,plain,
% 76.28/48.10 (v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4500, 1130, 4371])).
% 76.28/48.10 tff(4502,plain,
% 76.28/48.10 (~v129(constB36, bitIndex0)),
% 76.28/48.10 inference(unit_resolution,[status(thm)],[4501, 4497])).
% 76.28/48.10 tff(4503,plain,
% 76.28/48.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4504,plain,
% 76.28/48.11 (((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4505,plain,
% 76.28/48.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))))),
% 76.28/48.11 inference(monotonicity,[status(thm)],[4504])).
% 76.28/48.11 tff(4506,plain,
% 76.28/48.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 76.28/48.11 inference(transitivity,[status(thm)],[4505, 4503])).
% 76.28/48.11 tff(4507,plain,
% 76.28/48.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4508,plain,
% 76.28/48.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 76.28/48.11 tff(4509,plain,
% 76.28/48.11 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4508, 1145, 4502])).
% 76.28/48.11 tff(4510,plain,
% 76.28/48.11 (~v90(constB36, bitIndex0)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4509, 4405])).
% 76.28/48.11 tff(4511,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4512,plain,
% 76.28/48.11 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4513,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))))),
% 76.28/48.11 inference(monotonicity,[status(thm)],[4512])).
% 76.28/48.11 tff(4514,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 76.28/48.11 inference(transitivity,[status(thm)],[4513, 4511])).
% 76.28/48.11 tff(4515,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4516,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 76.28/48.11 tff(4517,plain,
% 76.28/48.11 (v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4516, 381, 4433])).
% 76.28/48.11 tff(4518,plain,
% 76.28/48.11 (v90(constB36, bitIndex0) | (~v90(constB37, bitIndex0))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4517, 4445])).
% 76.28/48.11 tff(4519,plain,
% 76.28/48.11 (~v90(constB37, bitIndex0)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4518, 4510])).
% 76.28/48.11 tff(4520,plain,
% 76.28/48.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4521,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4522,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37)),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 76.28/48.11 tff(4523,plain,
% 76.28/48.11 (v125(constB37)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4522, 2156, 4519, 4485, 4454])).
% 76.28/48.11 tff(4524,plain,
% 76.28/48.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4525,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4526,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4525, 4524])).
% 76.28/48.11 tff(4527,plain,
% 76.28/48.11 (v113(constB37)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4526, 2167, 4523])).
% 76.28/48.11 tff(4528,assumption,(v26(constB37)), introduced(assumption)).
% 76.28/48.11 tff(4529,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4530,plain,
% 76.28/48.11 ($false),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4529, 14, 4528])).
% 76.28/48.11 tff(4531,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 76.28/48.11 tff(4532,plain,
% 76.28/48.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4533,plain,
% 76.28/48.11 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4534,plain,
% 76.28/48.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 76.28/48.11 inference(monotonicity,[status(thm)],[4533])).
% 76.28/48.11 tff(4535,plain,
% 76.28/48.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 76.28/48.11 inference(transitivity,[status(thm)],[4534, 4532])).
% 76.28/48.11 tff(4536,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4537,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 76.28/48.11 tff(4538,plain,
% 76.28/48.11 (v112(constB37) | (~v113(constB37))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4537, 555, 4531])).
% 76.28/48.11 tff(4539,plain,
% 76.28/48.11 (v112(constB37)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4538, 4527])).
% 76.28/48.11 tff(4540,plain,
% 76.28/48.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4541,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4542,plain,
% 76.28/48.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 76.28/48.11 tff(4543,plain,
% 76.28/48.11 (v108(constB37)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4542, 464, 4539])).
% 76.28/48.11 tff(4544,plain,
% 76.28/48.11 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4545,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 76.28/48.11 tff(4546,plain,
% 76.28/48.11 (nextState(constB37, constB38)),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4545, 4544])).
% 76.28/48.11 tff(4547,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4548,plain,
% 76.28/48.11 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4549,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 76.28/48.11 inference(monotonicity,[status(thm)],[4548])).
% 76.28/48.11 tff(4550,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 76.28/48.11 inference(transitivity,[status(thm)],[4549, 4547])).
% 76.28/48.11 tff(4551,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4552,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 76.28/48.11 tff(4553,plain,
% 76.28/48.11 (v110(constB38) | (~v108(constB37))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4552, 571, 4546])).
% 76.28/48.11 tff(4554,plain,
% 76.28/48.11 (v110(constB38)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4553, 4543])).
% 76.28/48.11 tff(4555,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4556,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4557,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 76.28/48.11 tff(4558,plain,
% 76.28/48.11 (~v104(constB38)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4557, 589, 4546, 4430])).
% 76.28/48.11 tff(4559,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4560,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4561,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 76.28/48.11 tff(4562,plain,
% 76.28/48.11 (v102(constB38) | v104(constB38)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4561, 603, 4546])).
% 76.28/48.11 tff(4563,plain,
% 76.28/48.11 (v102(constB38)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4562, 4558])).
% 76.28/48.11 tff(4564,plain,
% 76.28/48.11 (v1(constB38) <=> v1(constB38)),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4565,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 76.28/48.11 tff(4566,plain,
% 76.28/48.11 (v1(constB38)),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 76.28/48.11 tff(4567,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4568,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4569,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 76.28/48.11 tff(4570,plain,
% 76.28/48.11 (v101(constB38) | (~v102(constB38))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4569, 621, 4546, 4566])).
% 76.28/48.11 tff(4571,plain,
% 76.28/48.11 (v101(constB38)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4570, 4563])).
% 76.28/48.11 tff(4572,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4573,plain,
% 76.28/48.11 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4574,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 76.28/48.11 inference(monotonicity,[status(thm)],[4573])).
% 76.28/48.11 tff(4575,plain,
% 76.28/48.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 76.28/48.11 inference(transitivity,[status(thm)],[4574, 4572])).
% 76.28/48.11 tff(4576,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4577,plain,
% 76.28/48.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 76.28/48.11 tff(4578,plain,
% 76.28/48.11 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4577, 636, 4546])).
% 76.28/48.11 tff(4579,plain,
% 76.28/48.11 (v100(constB38) | (~v110(constB38))),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4578, 4571])).
% 76.28/48.11 tff(4580,plain,
% 76.28/48.11 (v100(constB38)),
% 76.28/48.11 inference(unit_resolution,[status(thm)],[4579, 4554])).
% 76.28/48.11 tff(4581,plain,
% 76.28/48.11 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 76.28/48.11 inference(rewrite,[status(thm)],[])).
% 76.28/48.11 tff(4582,plain,
% 76.28/48.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 76.28/48.11 inference(quant_inst,[status(thm)],[])).
% 76.28/48.11 tff(4583,plain,
% 76.28/48.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1))),
% 76.28/48.11 inference(modus_ponens,[status(thm)],[4582, 4581])).
% 76.28/48.12 tff(4584,plain,
% 76.28/48.12 (~v119(constB37)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4583, 2243, 4485])).
% 76.28/48.12 tff(4585,plain,
% 76.28/48.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4586,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4587,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 76.28/48.12 tff(4588,plain,
% 76.28/48.12 (~v122(constB37)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4587, 2229, 4454])).
% 76.28/48.12 tff(4589,plain,
% 76.28/48.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4590,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4591,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 76.28/48.12 tff(4592,plain,
% 76.28/48.12 (~v123(constB37)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4591, 2265, 4485])).
% 76.28/48.12 tff(4593,plain,
% 76.28/48.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4594,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4595,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 76.28/48.12 tff(4596,plain,
% 76.28/48.12 (~v121(constB37)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4595, 2218, 4454])).
% 76.28/48.12 tff(4597,plain,
% 76.28/48.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4598,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4599,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4598, 4597])).
% 76.28/48.12 tff(4600,plain,
% 76.28/48.12 (~v124(constB37)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4599, 2276, 4485])).
% 76.28/48.12 tff(4601,plain,
% 76.28/48.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4602,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4603,plain,
% 76.28/48.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 76.28/48.12 tff(4604,plain,
% 76.28/48.12 (~v120(constB37)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4603, 2254, 4485])).
% 76.28/48.12 tff(4605,plain,
% 76.28/48.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB37, bitIndex2)) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB37, bitIndex2)) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4606,plain,
% 76.28/48.12 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2))) <=> ((~v130(constB37, bitIndex2)) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4607,plain,
% 76.28/48.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB37, bitIndex2)) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37)))),
% 76.28/48.12 inference(monotonicity,[status(thm)],[4606])).
% 76.28/48.12 tff(4608,plain,
% 76.28/48.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB37, bitIndex2)) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37))),
% 76.28/48.12 inference(transitivity,[status(thm)],[4607, 4605])).
% 76.28/48.12 tff(4609,plain,
% 76.28/48.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4610,plain,
% 76.28/48.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB37, bitIndex2)) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37)),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4609, 4608])).
% 76.28/48.12 tff(4611,plain,
% 76.28/48.12 (~v130(constB37, bitIndex2)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4610, 2290, 4604, 4600, 4596, 4592, 4588, 4584])).
% 76.28/48.12 tff(4612,plain,
% 76.28/48.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4613,plain,
% 76.28/48.12 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4614,plain,
% 76.28/48.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 76.28/48.12 inference(monotonicity,[status(thm)],[4613])).
% 76.28/48.12 tff(4615,plain,
% 76.28/48.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 76.28/48.12 inference(transitivity,[status(thm)],[4614, 4612])).
% 76.28/48.12 tff(4616,plain,
% 76.28/48.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4617,plain,
% 76.28/48.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 76.28/48.12 tff(4618,plain,
% 76.28/48.12 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4617, 430, 4531])).
% 76.28/48.12 tff(4619,plain,
% 76.28/48.12 (~v127(constB37, bitIndex2)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4618, 4611])).
% 76.28/48.12 tff(4620,plain,
% 76.28/48.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4621,plain,
% 76.28/48.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4622,plain,
% 76.28/48.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 76.28/48.12 tff(4623,plain,
% 76.28/48.12 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4622, 451, 4546])).
% 76.28/48.12 tff(4624,plain,
% 76.28/48.12 (~v129(constB38, bitIndex2)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4623, 4619])).
% 76.28/48.12 tff(4625,plain,
% 76.28/48.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4626,plain,
% 76.28/48.12 (((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4627,plain,
% 76.28/48.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))))),
% 76.28/48.12 inference(monotonicity,[status(thm)],[4626])).
% 76.28/48.12 tff(4628,plain,
% 76.28/48.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 76.28/48.12 inference(transitivity,[status(thm)],[4627, 4625])).
% 76.28/48.12 tff(4629,plain,
% 76.28/48.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))),
% 76.28/48.12 inference(quant_inst,[status(thm)],[])).
% 76.28/48.12 tff(4630,plain,
% 76.28/48.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 76.28/48.12 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 76.28/48.12 tff(4631,plain,
% 76.28/48.12 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4630, 655, 4624])).
% 76.28/48.12 tff(4632,plain,
% 76.28/48.12 (~v90(constB38, bitIndex2)),
% 76.28/48.12 inference(unit_resolution,[status(thm)],[4631, 4580])).
% 76.28/48.12 tff(4633,plain,
% 76.28/48.12 ((~v1(constB39)) <=> (~v1(constB39))),
% 76.28/48.12 inference(rewrite,[status(thm)],[])).
% 76.28/48.12 tff(4634,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 76.28/48.12 tff(4635,plain,
% 76.28/48.12 (~v1(constB39)),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 76.28/48.13 tff(4636,plain,
% 76.28/48.13 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4637,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 76.28/48.13 tff(4638,plain,
% 76.28/48.13 (nextState(constB38, constB39)),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4637, 4636])).
% 76.28/48.13 tff(4639,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4640,plain,
% 76.28/48.13 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4641,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 76.28/48.13 inference(monotonicity,[status(thm)],[4640])).
% 76.28/48.13 tff(4642,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 76.28/48.13 inference(transitivity,[status(thm)],[4641, 4639])).
% 76.28/48.13 tff(4643,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4644,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4643, 4642])).
% 76.28/48.13 tff(4645,plain,
% 76.28/48.13 (~v101(constB39)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4644, 307, 4638, 4635])).
% 76.28/48.13 tff(4646,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4647,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4648,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4647, 4646])).
% 76.28/48.13 tff(4649,plain,
% 76.28/48.13 (v101(constB39) | (~v100(constB39))),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4648, 324, 4638])).
% 76.28/48.13 tff(4650,plain,
% 76.28/48.13 (~v100(constB39)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4649, 4645])).
% 76.28/48.13 tff(4651,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4652,plain,
% 76.28/48.13 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4653,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 76.28/48.13 inference(monotonicity,[status(thm)],[4652])).
% 76.28/48.13 tff(4654,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 76.28/48.13 inference(transitivity,[status(thm)],[4653, 4651])).
% 76.28/48.13 tff(4655,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4656,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 76.28/48.13 tff(4657,plain,
% 76.28/48.13 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4656, 339, 4638])).
% 76.28/48.13 tff(4658,plain,
% 76.28/48.13 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4657, 4650])).
% 76.28/48.13 tff(4659,plain,
% 76.28/48.13 (~v90(constB39, bitIndex2)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4658, 4632])).
% 76.28/48.13 tff(4660,plain,
% 76.28/48.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4661,plain,
% 76.28/48.13 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1))) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4662,plain,
% 76.28/48.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1))))),
% 76.28/48.13 inference(monotonicity,[status(thm)],[4661])).
% 76.28/48.13 tff(4663,plain,
% 76.28/48.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 76.28/48.13 inference(transitivity,[status(thm)],[4662, 4660])).
% 76.28/48.13 tff(4664,plain,
% 76.28/48.13 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4665,plain,
% 76.28/48.13 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1))),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 76.28/48.13 tff(4666,plain,
% 76.28/48.13 (~v130(constB37, bitIndex1)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4665, 2355, 4604, 4600, 4596, 4592, 4588, 4584])).
% 76.28/48.13 tff(4667,plain,
% 76.28/48.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4668,plain,
% 76.28/48.13 ((v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1))) <=> ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4669,plain,
% 76.28/48.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)))),
% 76.28/48.13 inference(monotonicity,[status(thm)],[4668])).
% 76.28/48.13 tff(4670,plain,
% 76.28/48.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 76.28/48.13 inference(transitivity,[status(thm)],[4669, 4667])).
% 76.28/48.13 tff(4671,plain,
% 76.28/48.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4672,plain,
% 76.28/48.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 76.28/48.13 tff(4673,plain,
% 76.28/48.13 ((~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4672, 714, 4531])).
% 76.28/48.13 tff(4674,plain,
% 76.28/48.13 (~v127(constB37, bitIndex1)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4673, 4666])).
% 76.28/48.13 tff(4675,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4676,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4677,plain,
% 76.28/48.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 76.28/48.13 tff(4678,plain,
% 76.28/48.13 (v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4677, 732, 4546])).
% 76.28/48.13 tff(4679,plain,
% 76.28/48.13 (~v129(constB38, bitIndex1)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4678, 4674])).
% 76.28/48.13 tff(4680,plain,
% 76.28/48.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4681,plain,
% 76.28/48.13 (((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4682,plain,
% 76.28/48.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))))),
% 76.28/48.13 inference(monotonicity,[status(thm)],[4681])).
% 76.28/48.13 tff(4683,plain,
% 76.28/48.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 76.28/48.13 inference(transitivity,[status(thm)],[4682, 4680])).
% 76.28/48.13 tff(4684,plain,
% 76.28/48.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))),
% 76.28/48.13 inference(quant_inst,[status(thm)],[])).
% 76.28/48.13 tff(4685,plain,
% 76.28/48.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))),
% 76.28/48.13 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 76.28/48.13 tff(4686,plain,
% 76.28/48.13 ((~v90(constB38, bitIndex1)) | (~v100(constB38))),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4685, 747, 4679])).
% 76.28/48.13 tff(4687,plain,
% 76.28/48.13 (~v90(constB38, bitIndex1)),
% 76.28/48.13 inference(unit_resolution,[status(thm)],[4686, 4580])).
% 76.28/48.13 tff(4688,plain,
% 76.28/48.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 76.28/48.13 inference(rewrite,[status(thm)],[])).
% 76.28/48.13 tff(4689,plain,
% 76.28/48.13 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4690,plain,
% 76.28/48.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))))),
% 76.28/48.14 inference(monotonicity,[status(thm)],[4689])).
% 76.28/48.14 tff(4691,plain,
% 76.28/48.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 76.28/48.14 inference(transitivity,[status(thm)],[4690, 4688])).
% 76.28/48.14 tff(4692,plain,
% 76.28/48.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 76.28/48.14 inference(quant_inst,[status(thm)],[])).
% 76.28/48.14 tff(4693,plain,
% 76.28/48.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 76.28/48.14 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 76.28/48.14 tff(4694,plain,
% 76.28/48.14 (v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4693, 360, 4638])).
% 76.28/48.14 tff(4695,plain,
% 76.28/48.14 (v90(constB38, bitIndex1) | (~v90(constB39, bitIndex1))),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4694, 4650])).
% 76.28/48.14 tff(4696,plain,
% 76.28/48.14 (~v90(constB39, bitIndex1)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4695, 4687])).
% 76.28/48.14 tff(4697,assumption,(~v130(constB37, bitIndex0)), introduced(assumption)).
% 76.28/48.14 tff(4698,assumption,(~v122(constB37)), introduced(assumption)).
% 76.28/48.14 tff(4699,assumption,(~v123(constB37)), introduced(assumption)).
% 76.28/48.14 tff(4700,assumption,(~v121(constB37)), introduced(assumption)).
% 76.28/48.14 tff(4701,assumption,(~v124(constB37)), introduced(assumption)).
% 76.28/48.14 tff(4702,assumption,(~v120(constB37)), introduced(assumption)).
% 76.28/48.14 tff(4703,plain,
% 76.28/48.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4704,plain,
% 76.28/48.14 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0)) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4705,plain,
% 76.28/48.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)))),
% 76.28/48.14 inference(monotonicity,[status(thm)],[4704])).
% 76.28/48.14 tff(4706,plain,
% 76.28/48.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 76.28/48.14 inference(transitivity,[status(thm)],[4705, 4703])).
% 76.28/48.14 tff(4707,plain,
% 76.28/48.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 76.28/48.14 inference(quant_inst,[status(thm)],[])).
% 76.28/48.14 tff(4708,plain,
% 76.28/48.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)),
% 76.28/48.14 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 76.28/48.14 tff(4709,plain,
% 76.28/48.14 (v119(constB37) | v130(constB37, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4708, 2402, 4702, 4701, 4700, 4699, 4698])).
% 76.28/48.14 tff(4710,plain,
% 76.28/48.14 (v119(constB37)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4709, 4697])).
% 76.28/48.14 tff(4711,plain,
% 76.28/48.14 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB37)) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB37)) | v130(constB37, bitIndex0))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4712,plain,
% 76.28/48.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB37)) | v130(constB37, bitIndex0))),
% 76.28/48.14 inference(quant_inst,[status(thm)],[])).
% 76.28/48.14 tff(4713,plain,
% 76.28/48.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB37)) | v130(constB37, bitIndex0)),
% 76.28/48.14 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 76.28/48.14 tff(4714,plain,
% 76.28/48.14 ($false),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4713, 774, 4697, 4710])).
% 76.28/48.14 tff(4715,plain,(v130(constB37, bitIndex0) | v120(constB37) | v124(constB37) | v121(constB37) | v123(constB37) | v122(constB37)), inference(lemma,lemma(discharge,[]))).
% 76.28/48.14 tff(4716,plain,
% 76.28/48.14 (v130(constB37, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4715, 4600, 4588, 4596, 4592, 4604])).
% 76.28/48.14 tff(4717,plain,
% 76.28/48.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4718,plain,
% 76.28/48.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 76.28/48.14 inference(quant_inst,[status(thm)],[])).
% 76.28/48.14 tff(4719,plain,
% 76.28/48.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 76.28/48.14 inference(modus_ponens,[status(thm)],[4718, 4717])).
% 76.28/48.14 tff(4720,plain,
% 76.28/48.14 ((~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4719, 788, 4531])).
% 76.28/48.14 tff(4721,plain,
% 76.28/48.14 (v127(constB37, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4720, 4716])).
% 76.28/48.14 tff(4722,plain,
% 76.28/48.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4723,plain,
% 76.28/48.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 76.28/48.14 inference(quant_inst,[status(thm)],[])).
% 76.28/48.14 tff(4724,plain,
% 76.28/48.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 76.28/48.14 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 76.28/48.14 tff(4725,plain,
% 76.28/48.14 ((~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4724, 803, 4546])).
% 76.28/48.14 tff(4726,plain,
% 76.28/48.14 (v129(constB38, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4725, 4721])).
% 76.28/48.14 tff(4727,plain,
% 76.28/48.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4728,plain,
% 76.28/48.14 ((v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4729,plain,
% 76.28/48.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))))),
% 76.28/48.14 inference(monotonicity,[status(thm)],[4728])).
% 76.28/48.14 tff(4730,plain,
% 76.28/48.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 76.28/48.14 inference(transitivity,[status(thm)],[4729, 4727])).
% 76.28/48.14 tff(4731,plain,
% 76.28/48.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))),
% 76.28/48.14 inference(quant_inst,[status(thm)],[])).
% 76.28/48.14 tff(4732,plain,
% 76.28/48.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 76.28/48.14 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 76.28/48.14 tff(4733,plain,
% 76.28/48.14 (v90(constB38, bitIndex0) | (~v100(constB38))),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4732, 818, 4726])).
% 76.28/48.14 tff(4734,plain,
% 76.28/48.14 (v90(constB38, bitIndex0)),
% 76.28/48.14 inference(unit_resolution,[status(thm)],[4733, 4580])).
% 76.28/48.14 tff(4735,plain,
% 76.28/48.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 76.28/48.14 inference(rewrite,[status(thm)],[])).
% 76.28/48.14 tff(4736,plain,
% 76.28/48.15 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4737,plain,
% 76.28/48.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)))),
% 76.28/48.15 inference(monotonicity,[status(thm)],[4736])).
% 76.28/48.15 tff(4738,plain,
% 76.28/48.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 76.28/48.15 inference(transitivity,[status(thm)],[4737, 4735])).
% 76.28/48.15 tff(4739,plain,
% 76.28/48.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4740,plain,
% 76.28/48.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4739, 4738])).
% 76.28/48.15 tff(4741,plain,
% 76.28/48.15 ((~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4740, 836, 4638])).
% 76.28/48.15 tff(4742,plain,
% 76.28/48.15 ((~v90(constB38, bitIndex0)) | v90(constB39, bitIndex0)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4741, 4650])).
% 76.28/48.15 tff(4743,plain,
% 76.28/48.15 (v90(constB39, bitIndex0)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4742, 4734])).
% 76.28/48.15 tff(4744,plain,
% 76.28/48.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4745,plain,
% 76.28/48.15 (((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)) <=> ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4746,plain,
% 76.28/48.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)))),
% 76.28/48.15 inference(monotonicity,[status(thm)],[4745])).
% 76.28/48.15 tff(4747,plain,
% 76.28/48.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 76.28/48.15 inference(transitivity,[status(thm)],[4746, 4744])).
% 76.28/48.15 tff(4748,plain,
% 76.28/48.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4749,plain,
% 76.28/48.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4748, 4747])).
% 76.28/48.15 tff(4750,plain,
% 76.28/48.15 (v120(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4749, 855, 4743, 4696, 4659])).
% 76.28/48.15 tff(4751,assumption,(~v90(constB39, bitIndex2)), introduced(assumption)).
% 76.28/48.15 tff(4752,assumption,(~v90(constB39, bitIndex1)), introduced(assumption)).
% 76.28/48.15 tff(4753,assumption,(~v118(constB39)), introduced(assumption)).
% 76.28/48.15 tff(4754,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4755,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4756,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4755, 4754])).
% 76.28/48.15 tff(4757,plain,
% 76.28/48.15 (~v120(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4756, 908, 4753])).
% 76.28/48.15 tff(4758,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB39) | (~v119(constB39)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB39) | (~v119(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4759,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB39) | (~v119(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4760,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB39) | (~v119(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 76.28/48.15 tff(4761,plain,
% 76.28/48.15 (~v119(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4760, 486, 4753])).
% 76.28/48.15 tff(4762,assumption,(~v120(constB39)), introduced(assumption)).
% 76.28/48.15 tff(4763,plain,
% 76.28/48.15 ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4749, 855, 4762])).
% 76.28/48.15 tff(4764,plain,
% 76.28/48.15 (~v90(constB39, bitIndex0)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4763, 4752, 4751])).
% 76.28/48.15 tff(4765,assumption,(~v119(constB39)), introduced(assumption)).
% 76.28/48.15 tff(4766,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB39) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB39) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4767,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB39) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4768,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB39) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 76.28/48.15 tff(4769,plain,
% 76.28/48.15 (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4768, 402, 4765])).
% 76.28/48.15 tff(4770,plain,
% 76.28/48.15 ($false),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4769, 4764, 4752, 4751])).
% 76.28/48.15 tff(4771,plain,(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39) | v120(constB39)), inference(lemma,lemma(discharge,[]))).
% 76.28/48.15 tff(4772,plain,
% 76.28/48.15 ($false),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4771, 4761, 4757, 4752, 4751])).
% 76.28/48.15 tff(4773,plain,(v118(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 76.28/48.15 tff(4774,plain,
% 76.28/48.15 (v118(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4773, 4659, 4696])).
% 76.28/48.15 tff(4775,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4776,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4777,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 76.28/48.15 tff(4778,plain,
% 76.28/48.15 (v117(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4777, 497, 4774])).
% 76.28/48.15 tff(4779,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4780,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4781,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4780, 4779])).
% 76.28/48.15 tff(4782,plain,
% 76.28/48.15 (v116(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4781, 508, 4778])).
% 76.28/48.15 tff(4783,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4784,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4785,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 76.28/48.15 tff(4786,plain,
% 76.28/48.15 (v115(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4785, 519, 4782])).
% 76.28/48.15 tff(4787,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4788,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4789,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4788, 4787])).
% 76.28/48.15 tff(4790,plain,
% 76.28/48.15 (v114(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4789, 530, 4786])).
% 76.28/48.15 tff(4791,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4792,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4793,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 76.28/48.15 tff(4794,plain,
% 76.28/48.15 (v113(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4793, 541, 4790])).
% 76.28/48.15 tff(4795,assumption,(~v108(constB39)), introduced(assumption)).
% 76.28/48.15 tff(4796,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4797,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4798,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 76.28/48.15 tff(4799,plain,
% 76.28/48.15 (~v112(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4798, 464, 4795])).
% 76.28/48.15 tff(4800,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB39) | (~v26(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB39) | (~v26(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4801,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB39) | (~v26(constB39)))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4802,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB39) | (~v26(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 76.28/48.15 tff(4803,plain,
% 76.28/48.15 (~v26(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4802, 475, 4795])).
% 76.28/48.15 tff(4804,assumption,(v113(constB39)), introduced(assumption)).
% 76.28/48.15 tff(4805,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4806,plain,
% 76.28/48.15 ((v26(constB39) | (~v113(constB39)) | v112(constB39)) <=> (v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4807,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39))))),
% 76.28/48.15 inference(monotonicity,[status(thm)],[4806])).
% 76.28/48.15 tff(4808,plain,
% 76.28/48.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 76.28/48.15 inference(transitivity,[status(thm)],[4807, 4805])).
% 76.28/48.15 tff(4809,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 76.28/48.15 inference(quant_inst,[status(thm)],[])).
% 76.28/48.15 tff(4810,plain,
% 76.28/48.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39))),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 76.28/48.15 tff(4811,plain,
% 76.28/48.15 (v26(constB39) | v112(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4810, 555, 4804])).
% 76.28/48.15 tff(4812,plain,
% 76.28/48.15 ($false),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4811, 4803, 4799])).
% 76.28/48.15 tff(4813,plain,(v108(constB39) | (~v113(constB39))), inference(lemma,lemma(discharge,[]))).
% 76.28/48.15 tff(4814,plain,
% 76.28/48.15 (v108(constB39)),
% 76.28/48.15 inference(unit_resolution,[status(thm)],[4813, 4794])).
% 76.28/48.15 tff(4815,plain,
% 76.28/48.15 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 76.28/48.15 inference(rewrite,[status(thm)],[])).
% 76.28/48.15 tff(4816,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 76.28/48.15 tff(4817,plain,
% 76.28/48.15 (nextState(constB39, constB40)),
% 76.28/48.15 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 76.28/48.15 tff(4818,plain,
% 76.28/48.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4819,plain,
% 76.28/48.16 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4820,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 76.28/48.16 inference(monotonicity,[status(thm)],[4819])).
% 76.28/48.16 tff(4821,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 76.28/48.16 inference(transitivity,[status(thm)],[4820, 4818])).
% 76.28/48.16 tff(4822,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4823,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 76.28/48.16 tff(4824,plain,
% 76.28/48.16 (v110(constB40) | (~v108(constB39))),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4823, 571, 4817])).
% 76.28/48.16 tff(4825,plain,
% 76.28/48.16 (v110(constB40)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4824, 4814])).
% 76.28/48.16 tff(4826,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4827,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4828,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4827, 4826])).
% 76.28/48.16 tff(4829,plain,
% 76.28/48.16 (~v104(constB40)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4828, 589, 4817, 4635])).
% 76.28/48.16 tff(4830,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4831,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4832,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4831, 4830])).
% 76.28/48.16 tff(4833,plain,
% 76.28/48.16 (v102(constB40) | v104(constB40)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4832, 603, 4817])).
% 76.28/48.16 tff(4834,plain,
% 76.28/48.16 (v102(constB40)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4833, 4829])).
% 76.28/48.16 tff(4835,plain,
% 76.28/48.16 (v1(constB40) <=> v1(constB40)),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4836,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 76.28/48.16 tff(4837,plain,
% 76.28/48.16 (v1(constB40)),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 76.28/48.16 tff(4838,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4839,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4840,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4839, 4838])).
% 76.28/48.16 tff(4841,plain,
% 76.28/48.16 (v101(constB40) | (~v102(constB40))),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4840, 621, 4817, 4837])).
% 76.28/48.16 tff(4842,plain,
% 76.28/48.16 (v101(constB40)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4841, 4834])).
% 76.28/48.16 tff(4843,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4844,plain,
% 76.28/48.16 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4845,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 76.28/48.16 inference(monotonicity,[status(thm)],[4844])).
% 76.28/48.16 tff(4846,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 76.28/48.16 inference(transitivity,[status(thm)],[4845, 4843])).
% 76.28/48.16 tff(4847,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4848,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4847, 4846])).
% 76.28/48.16 tff(4849,plain,
% 76.28/48.16 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4848, 636, 4817])).
% 76.28/48.16 tff(4850,plain,
% 76.28/48.16 (v100(constB40) | (~v110(constB40))),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4849, 4842])).
% 76.28/48.16 tff(4851,plain,
% 76.28/48.16 (v100(constB40)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4850, 4825])).
% 76.28/48.16 tff(4852,assumption,(v120(constB39)), introduced(assumption)).
% 76.28/48.16 tff(4853,plain,
% 76.28/48.16 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4854,plain,
% 76.28/48.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4855,plain,
% 76.28/48.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4854, 4853])).
% 76.28/48.16 tff(4856,plain,
% 76.28/48.16 (~v130(constB39, bitIndex2)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4855, 872, 4852])).
% 76.28/48.16 tff(4857,assumption,(v26(constB39)), introduced(assumption)).
% 76.28/48.16 tff(4858,plain,
% 76.28/48.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4859,plain,
% 76.28/48.16 ($false),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4858, 14, 4857])).
% 76.28/48.16 tff(4860,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 76.28/48.16 tff(4861,plain,
% 76.28/48.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4862,plain,
% 76.28/48.16 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4863,plain,
% 76.28/48.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 76.28/48.16 inference(monotonicity,[status(thm)],[4862])).
% 76.28/48.16 tff(4864,plain,
% 76.28/48.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 76.28/48.16 inference(transitivity,[status(thm)],[4863, 4861])).
% 76.28/48.16 tff(4865,plain,
% 76.28/48.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4866,plain,
% 76.28/48.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4865, 4864])).
% 76.28/48.16 tff(4867,plain,
% 76.28/48.16 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4866, 430, 4860])).
% 76.28/48.16 tff(4868,plain,
% 76.28/48.16 (~v127(constB39, bitIndex2)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4867, 4856])).
% 76.28/48.16 tff(4869,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4870,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4871,plain,
% 76.28/48.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 76.28/48.16 tff(4872,plain,
% 76.28/48.16 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4871, 451, 4817])).
% 76.28/48.16 tff(4873,plain,
% 76.28/48.16 (~v129(constB40, bitIndex2)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4872, 4868])).
% 76.28/48.16 tff(4874,assumption,(v100(constB40)), introduced(assumption)).
% 76.28/48.16 tff(4875,plain,
% 76.28/48.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4876,plain,
% 76.28/48.16 (((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2)) <=> ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4877,plain,
% 76.28/48.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))))),
% 76.28/48.16 inference(monotonicity,[status(thm)],[4876])).
% 76.28/48.16 tff(4878,plain,
% 76.28/48.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 76.28/48.16 inference(transitivity,[status(thm)],[4877, 4875])).
% 76.28/48.16 tff(4879,plain,
% 76.28/48.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))),
% 76.28/48.16 inference(quant_inst,[status(thm)],[])).
% 76.28/48.16 tff(4880,plain,
% 76.28/48.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 76.28/48.16 tff(4881,plain,
% 76.28/48.16 ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4880, 655, 4874])).
% 76.28/48.16 tff(4882,plain,
% 76.28/48.16 (~v90(constB40, bitIndex2)),
% 76.28/48.16 inference(unit_resolution,[status(thm)],[4881, 4873])).
% 76.28/48.16 tff(4883,plain,
% 76.28/48.16 ((~v1(constB41)) <=> (~v1(constB41))),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4884,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 76.28/48.16 tff(4885,plain,
% 76.28/48.16 (~v1(constB41)),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 76.28/48.16 tff(4886,plain,
% 76.28/48.16 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 76.28/48.16 inference(rewrite,[status(thm)],[])).
% 76.28/48.16 tff(4887,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 76.28/48.16 tff(4888,plain,
% 76.28/48.16 (nextState(constB40, constB41)),
% 76.28/48.16 inference(modus_ponens,[status(thm)],[4887, 4886])).
% 76.28/48.16 tff(4889,plain,
% 76.28/48.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4890,plain,
% 76.28/48.17 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4891,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 76.28/48.17 inference(monotonicity,[status(thm)],[4890])).
% 76.28/48.17 tff(4892,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 76.28/48.17 inference(transitivity,[status(thm)],[4891, 4889])).
% 76.28/48.17 tff(4893,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4894,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 76.28/48.17 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 76.28/48.17 tff(4895,plain,
% 76.28/48.17 (~v101(constB41)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4894, 307, 4888, 4885])).
% 76.28/48.17 tff(4896,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4897,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4898,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 76.28/48.17 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 76.28/48.17 tff(4899,plain,
% 76.28/48.17 (v101(constB41) | (~v100(constB41))),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4898, 324, 4888])).
% 76.28/48.17 tff(4900,plain,
% 76.28/48.17 (~v100(constB41)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4899, 4895])).
% 76.28/48.17 tff(4901,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4902,plain,
% 76.28/48.17 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4903,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 76.28/48.17 inference(monotonicity,[status(thm)],[4902])).
% 76.28/48.17 tff(4904,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 76.28/48.17 inference(transitivity,[status(thm)],[4903, 4901])).
% 76.28/48.17 tff(4905,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4906,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 76.28/48.17 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 76.28/48.17 tff(4907,plain,
% 76.28/48.17 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4906, 339, 4888])).
% 76.28/48.17 tff(4908,plain,
% 76.28/48.17 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4907, 4900])).
% 76.28/48.17 tff(4909,plain,
% 76.28/48.17 (~v90(constB41, bitIndex2)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4908, 4882])).
% 76.28/48.17 tff(4910,plain,
% 76.28/48.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4911,plain,
% 76.28/48.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4912,plain,
% 76.28/48.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0))),
% 76.28/48.17 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 76.28/48.17 tff(4913,plain,
% 76.28/48.17 (~v130(constB39, bitIndex0)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4912, 1098, 4852])).
% 76.28/48.17 tff(4914,plain,
% 76.28/48.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4915,plain,
% 76.28/48.17 ((v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0))) <=> ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4916,plain,
% 76.28/48.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)))),
% 76.28/48.17 inference(monotonicity,[status(thm)],[4915])).
% 76.28/48.17 tff(4917,plain,
% 76.28/48.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 76.28/48.17 inference(transitivity,[status(thm)],[4916, 4914])).
% 76.28/48.17 tff(4918,plain,
% 76.28/48.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4919,plain,
% 76.28/48.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)),
% 76.28/48.17 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 76.28/48.17 tff(4920,plain,
% 76.28/48.17 ((~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4919, 1112, 4860])).
% 76.28/48.17 tff(4921,plain,
% 76.28/48.17 (~v127(constB39, bitIndex0)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4920, 4913])).
% 76.28/48.17 tff(4922,plain,
% 76.28/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4923,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4924,plain,
% 76.28/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 76.28/48.17 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 76.28/48.17 tff(4925,plain,
% 76.28/48.17 (v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4924, 1130, 4817])).
% 76.28/48.17 tff(4926,plain,
% 76.28/48.17 (~v129(constB40, bitIndex0)),
% 76.28/48.17 inference(unit_resolution,[status(thm)],[4925, 4921])).
% 76.28/48.17 tff(4927,plain,
% 76.28/48.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4928,plain,
% 76.28/48.17 (((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 76.28/48.17 inference(rewrite,[status(thm)],[])).
% 76.28/48.17 tff(4929,plain,
% 76.28/48.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))))),
% 76.28/48.17 inference(monotonicity,[status(thm)],[4928])).
% 76.28/48.17 tff(4930,plain,
% 76.28/48.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 76.28/48.17 inference(transitivity,[status(thm)],[4929, 4927])).
% 76.28/48.17 tff(4931,plain,
% 76.28/48.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))),
% 76.28/48.17 inference(quant_inst,[status(thm)],[])).
% 76.28/48.17 tff(4932,plain,
% 76.28/48.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))),
% 76.38/48.17 inference(modus_ponens,[status(thm)],[4931, 4930])).
% 76.38/48.17 tff(4933,plain,
% 76.38/48.17 ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0)),
% 76.38/48.17 inference(unit_resolution,[status(thm)],[4932, 1145, 4874])).
% 76.38/48.17 tff(4934,plain,
% 76.38/48.17 (~v90(constB40, bitIndex0)),
% 76.38/48.17 inference(unit_resolution,[status(thm)],[4933, 4926])).
% 76.38/48.17 tff(4935,plain,
% 76.38/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 76.38/48.17 inference(rewrite,[status(thm)],[])).
% 76.38/48.17 tff(4936,plain,
% 76.38/48.17 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 76.38/48.17 inference(rewrite,[status(thm)],[])).
% 76.38/48.17 tff(4937,plain,
% 76.38/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))))),
% 76.38/48.17 inference(monotonicity,[status(thm)],[4936])).
% 76.38/48.17 tff(4938,plain,
% 76.38/48.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 76.38/48.17 inference(transitivity,[status(thm)],[4937, 4935])).
% 76.38/48.17 tff(4939,plain,
% 76.38/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 76.38/48.17 inference(quant_inst,[status(thm)],[])).
% 76.38/48.17 tff(4940,plain,
% 76.38/48.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 76.38/48.17 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 76.38/48.17 tff(4941,plain,
% 76.38/48.17 (v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 76.38/48.17 inference(unit_resolution,[status(thm)],[4940, 381, 4888])).
% 76.38/48.17 tff(4942,plain,
% 76.38/48.17 (v90(constB40, bitIndex0) | (~v90(constB41, bitIndex0))),
% 76.38/48.17 inference(unit_resolution,[status(thm)],[4941, 4900])).
% 76.38/48.17 tff(4943,plain,
% 76.38/48.17 (~v90(constB41, bitIndex0)),
% 76.38/48.17 inference(unit_resolution,[status(thm)],[4942, 4934])).
% 76.38/48.17 tff(4944,plain,
% 76.38/48.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1))),
% 76.38/48.17 inference(rewrite,[status(thm)],[])).
% 76.38/48.17 tff(4945,plain,
% 76.38/48.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))),
% 76.38/48.17 inference(quant_inst,[status(thm)],[])).
% 76.38/48.17 tff(4946,plain,
% 76.38/48.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 76.38/48.18 tff(4947,plain,
% 76.38/48.18 (v130(constB39, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4946, 1017, 4852])).
% 76.38/48.18 tff(4948,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4949,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4950,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 76.38/48.18 tff(4951,plain,
% 76.38/48.18 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4950, 1031, 4860])).
% 76.38/48.18 tff(4952,plain,
% 76.38/48.18 (v127(constB39, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4951, 4947])).
% 76.38/48.18 tff(4953,plain,
% 76.38/48.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4954,plain,
% 76.38/48.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4955,plain,
% 76.38/48.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 76.38/48.18 tff(4956,plain,
% 76.38/48.18 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4955, 1046, 4817])).
% 76.38/48.18 tff(4957,plain,
% 76.38/48.18 (v129(constB40, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4956, 4952])).
% 76.38/48.18 tff(4958,plain,
% 76.38/48.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4959,plain,
% 76.38/48.18 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4960,plain,
% 76.38/48.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 76.38/48.18 inference(monotonicity,[status(thm)],[4959])).
% 76.38/48.18 tff(4961,plain,
% 76.38/48.18 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 76.38/48.18 inference(transitivity,[status(thm)],[4960, 4958])).
% 76.38/48.18 tff(4962,plain,
% 76.38/48.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4963,plain,
% 76.38/48.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 76.38/48.18 tff(4964,plain,
% 76.38/48.18 (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1))),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4963, 1061, 4874])).
% 76.38/48.18 tff(4965,plain,
% 76.38/48.18 (v90(constB40, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4964, 4957])).
% 76.38/48.18 tff(4966,plain,
% 76.38/48.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4967,plain,
% 76.38/48.18 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4968,plain,
% 76.38/48.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 76.38/48.18 inference(monotonicity,[status(thm)],[4967])).
% 76.38/48.18 tff(4969,plain,
% 76.38/48.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 76.38/48.18 inference(transitivity,[status(thm)],[4968, 4966])).
% 76.38/48.18 tff(4970,plain,
% 76.38/48.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4971,plain,
% 76.38/48.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4970, 4969])).
% 76.38/48.18 tff(4972,plain,
% 76.38/48.18 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4971, 1079, 4888])).
% 76.38/48.18 tff(4973,plain,
% 76.38/48.18 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4972, 4900])).
% 76.38/48.18 tff(4974,plain,
% 76.38/48.18 (v90(constB41, bitIndex1)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4973, 4965])).
% 76.38/48.18 tff(4975,assumption,(~v121(constB41)), introduced(assumption)).
% 76.38/48.18 tff(4976,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4977,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4978,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 76.38/48.18 tff(4979,plain,
% 76.38/48.18 (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4978, 1172, 4975])).
% 76.38/48.18 tff(4980,plain,
% 76.38/48.18 ($false),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4979, 4974, 4943, 4909])).
% 76.38/48.18 tff(4981,plain,((~v120(constB39)) | v121(constB41) | (~v100(constB40))), inference(lemma,lemma(discharge,[]))).
% 76.38/48.18 tff(4982,plain,
% 76.38/48.18 (v121(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4981, 4851, 4750])).
% 76.38/48.18 tff(4983,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4984,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4985,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 76.38/48.18 tff(4986,plain,
% 76.38/48.18 (v117(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4985, 1183, 4982])).
% 76.38/48.18 tff(4987,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4988,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4989,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 76.38/48.18 tff(4990,plain,
% 76.38/48.18 (v116(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4989, 508, 4986])).
% 76.38/48.18 tff(4991,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4992,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4993,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 76.38/48.18 tff(4994,plain,
% 76.38/48.18 (v115(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4993, 519, 4990])).
% 76.38/48.18 tff(4995,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(4996,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(4997,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 76.38/48.18 tff(4998,plain,
% 76.38/48.18 (v114(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[4997, 530, 4994])).
% 76.38/48.18 tff(4999,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(5000,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(5001,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[5000, 4999])).
% 76.38/48.18 tff(5002,plain,
% 76.38/48.18 (v113(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[5001, 541, 4998])).
% 76.38/48.18 tff(5003,assumption,(v26(constB41)), introduced(assumption)).
% 76.38/48.18 tff(5004,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(5005,plain,
% 76.38/48.18 ($false),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[5004, 14, 5003])).
% 76.38/48.18 tff(5006,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 76.38/48.18 tff(5007,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(5008,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(5009,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 76.38/48.18 tff(5010,plain,
% 76.38/48.18 ((~v113(constB41)) | v112(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[5009, 555, 5006])).
% 76.38/48.18 tff(5011,plain,
% 76.38/48.18 (v112(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[5010, 5002])).
% 76.38/48.18 tff(5012,plain,
% 76.38/48.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(5013,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))),
% 76.38/48.18 inference(quant_inst,[status(thm)],[])).
% 76.38/48.18 tff(5014,plain,
% 76.38/48.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41))),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 76.38/48.18 tff(5015,plain,
% 76.38/48.18 (v108(constB41)),
% 76.38/48.18 inference(unit_resolution,[status(thm)],[5014, 464, 5011])).
% 76.38/48.18 tff(5016,plain,
% 76.38/48.18 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(5017,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 76.38/48.18 tff(5018,plain,
% 76.38/48.18 (nextState(constB41, constB42)),
% 76.38/48.18 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 76.38/48.18 tff(5019,plain,
% 76.38/48.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(5020,plain,
% 76.38/48.18 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 76.38/48.18 inference(rewrite,[status(thm)],[])).
% 76.38/48.18 tff(5021,plain,
% 76.38/48.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 76.38/48.19 inference(monotonicity,[status(thm)],[5020])).
% 76.38/48.19 tff(5022,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 76.38/48.19 inference(transitivity,[status(thm)],[5021, 5019])).
% 76.38/48.19 tff(5023,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5024,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 76.38/48.19 tff(5025,plain,
% 76.38/48.19 (v110(constB42) | (~v108(constB41))),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5024, 571, 5018])).
% 76.38/48.19 tff(5026,plain,
% 76.38/48.19 (v110(constB42)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5025, 5015])).
% 76.38/48.19 tff(5027,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5028,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5029,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 76.38/48.19 tff(5030,plain,
% 76.38/48.19 (~v104(constB42)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5029, 589, 5018, 4885])).
% 76.38/48.19 tff(5031,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5032,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5033,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 76.38/48.19 tff(5034,plain,
% 76.38/48.19 (v102(constB42) | v104(constB42)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5033, 603, 5018])).
% 76.38/48.19 tff(5035,plain,
% 76.38/48.19 (v102(constB42)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5034, 5030])).
% 76.38/48.19 tff(5036,plain,
% 76.38/48.19 (v1(constB42) <=> v1(constB42)),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5037,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 76.38/48.19 tff(5038,plain,
% 76.38/48.19 (v1(constB42)),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 76.38/48.19 tff(5039,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5040,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5041,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 76.38/48.19 tff(5042,plain,
% 76.38/48.19 (v101(constB42) | (~v102(constB42))),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5041, 621, 5018, 5038])).
% 76.38/48.19 tff(5043,plain,
% 76.38/48.19 (v101(constB42)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5042, 5035])).
% 76.38/48.19 tff(5044,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5045,plain,
% 76.38/48.19 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5046,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 76.38/48.19 inference(monotonicity,[status(thm)],[5045])).
% 76.38/48.19 tff(5047,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 76.38/48.19 inference(transitivity,[status(thm)],[5046, 5044])).
% 76.38/48.19 tff(5048,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5049,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5048, 5047])).
% 76.38/48.19 tff(5050,plain,
% 76.38/48.19 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5049, 636, 5018])).
% 76.38/48.19 tff(5051,plain,
% 76.38/48.19 (v100(constB42) | (~v110(constB42))),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5050, 5043])).
% 76.38/48.19 tff(5052,plain,
% 76.38/48.19 (v100(constB42)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5051, 5026])).
% 76.38/48.19 tff(5053,plain,
% 76.38/48.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5054,plain,
% 76.38/48.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5055,plain,
% 76.38/48.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2))),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 76.38/48.19 tff(5056,plain,
% 76.38/48.19 (~v130(constB41, bitIndex2)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5055, 1259, 4982])).
% 76.38/48.19 tff(5057,plain,
% 76.38/48.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5058,plain,
% 76.38/48.19 ((v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2))) <=> ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5059,plain,
% 76.38/48.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)))),
% 76.38/48.19 inference(monotonicity,[status(thm)],[5058])).
% 76.38/48.19 tff(5060,plain,
% 76.38/48.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 76.38/48.19 inference(transitivity,[status(thm)],[5059, 5057])).
% 76.38/48.19 tff(5061,plain,
% 76.38/48.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5062,plain,
% 76.38/48.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 76.38/48.19 tff(5063,plain,
% 76.38/48.19 ((~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5062, 430, 5006])).
% 76.38/48.19 tff(5064,plain,
% 76.38/48.19 (~v127(constB41, bitIndex2)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5063, 5056])).
% 76.38/48.19 tff(5065,plain,
% 76.38/48.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 76.38/48.19 inference(rewrite,[status(thm)],[])).
% 76.38/48.19 tff(5066,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 76.38/48.19 inference(quant_inst,[status(thm)],[])).
% 76.38/48.19 tff(5067,plain,
% 76.38/48.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 76.38/48.19 inference(modus_ponens,[status(thm)],[5066, 5065])).
% 76.38/48.19 tff(5068,plain,
% 76.38/48.19 (v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5067, 451, 5018])).
% 76.38/48.19 tff(5069,plain,
% 76.38/48.19 (~v129(constB42, bitIndex2)),
% 76.38/48.19 inference(unit_resolution,[status(thm)],[5068, 5064])).
% 76.38/48.19 tff(5070,plain,
% 76.38/48.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5071,plain,
% 76.40/48.20 (((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5072,plain,
% 76.40/48.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))))),
% 76.40/48.20 inference(monotonicity,[status(thm)],[5071])).
% 76.40/48.20 tff(5073,plain,
% 76.40/48.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 76.40/48.20 inference(transitivity,[status(thm)],[5072, 5070])).
% 76.40/48.20 tff(5074,plain,
% 76.40/48.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5075,plain,
% 76.40/48.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 76.40/48.20 tff(5076,plain,
% 76.40/48.20 ((~v90(constB42, bitIndex2)) | (~v100(constB42))),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5075, 655, 5069])).
% 76.40/48.20 tff(5077,plain,
% 76.40/48.20 (~v90(constB42, bitIndex2)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5076, 5052])).
% 76.40/48.20 tff(5078,plain,
% 76.40/48.20 ((~v1(constB43)) <=> (~v1(constB43))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5079,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 76.40/48.20 tff(5080,plain,
% 76.40/48.20 (~v1(constB43)),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 76.40/48.20 tff(5081,plain,
% 76.40/48.20 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5082,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 76.40/48.20 tff(5083,plain,
% 76.40/48.20 (nextState(constB42, constB43)),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 76.40/48.20 tff(5084,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5085,plain,
% 76.40/48.20 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5086,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 76.40/48.20 inference(monotonicity,[status(thm)],[5085])).
% 76.40/48.20 tff(5087,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 76.40/48.20 inference(transitivity,[status(thm)],[5086, 5084])).
% 76.40/48.20 tff(5088,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5089,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 76.40/48.20 tff(5090,plain,
% 76.40/48.20 (~v101(constB43)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5089, 307, 5083, 5080])).
% 76.40/48.20 tff(5091,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5092,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5093,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 76.40/48.20 tff(5094,plain,
% 76.40/48.20 (v101(constB43) | (~v100(constB43))),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5093, 324, 5083])).
% 76.40/48.20 tff(5095,plain,
% 76.40/48.20 (~v100(constB43)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5094, 5090])).
% 76.40/48.20 tff(5096,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5097,plain,
% 76.40/48.20 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5098,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))))),
% 76.40/48.20 inference(monotonicity,[status(thm)],[5097])).
% 76.40/48.20 tff(5099,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 76.40/48.20 inference(transitivity,[status(thm)],[5098, 5096])).
% 76.40/48.20 tff(5100,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5101,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 76.40/48.20 tff(5102,plain,
% 76.40/48.20 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5101, 339, 5083])).
% 76.40/48.20 tff(5103,plain,
% 76.40/48.20 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5102, 5095])).
% 76.40/48.20 tff(5104,plain,
% 76.40/48.20 (~v90(constB43, bitIndex2)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5103, 5077])).
% 76.40/48.20 tff(5105,plain,
% 76.40/48.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5106,plain,
% 76.40/48.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5107,plain,
% 76.40/48.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1)),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 76.40/48.20 tff(5108,plain,
% 76.40/48.20 (v130(constB41, bitIndex1)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5107, 1321, 4982])).
% 76.40/48.20 tff(5109,plain,
% 76.40/48.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5110,plain,
% 76.40/48.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5111,plain,
% 76.40/48.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 76.40/48.20 tff(5112,plain,
% 76.40/48.20 ((~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5111, 1031, 5006])).
% 76.40/48.20 tff(5113,plain,
% 76.40/48.20 (v127(constB41, bitIndex1)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5112, 5108])).
% 76.40/48.20 tff(5114,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5115,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5116,plain,
% 76.40/48.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 76.40/48.20 tff(5117,plain,
% 76.40/48.20 ((~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5116, 1046, 5018])).
% 76.40/48.20 tff(5118,plain,
% 76.40/48.20 (v129(constB42, bitIndex1)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5117, 5113])).
% 76.40/48.20 tff(5119,plain,
% 76.40/48.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5120,plain,
% 76.40/48.20 ((v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5121,plain,
% 76.40/48.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))))),
% 76.40/48.20 inference(monotonicity,[status(thm)],[5120])).
% 76.40/48.20 tff(5122,plain,
% 76.40/48.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 76.40/48.20 inference(transitivity,[status(thm)],[5121, 5119])).
% 76.40/48.20 tff(5123,plain,
% 76.40/48.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))),
% 76.40/48.20 inference(quant_inst,[status(thm)],[])).
% 76.40/48.20 tff(5124,plain,
% 76.40/48.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))),
% 76.40/48.20 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 76.40/48.20 tff(5125,plain,
% 76.40/48.20 (v90(constB42, bitIndex1) | (~v100(constB42))),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5124, 1061, 5118])).
% 76.40/48.20 tff(5126,plain,
% 76.40/48.20 (v90(constB42, bitIndex1)),
% 76.40/48.20 inference(unit_resolution,[status(thm)],[5125, 5052])).
% 76.40/48.20 tff(5127,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5128,plain,
% 76.40/48.20 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 76.40/48.20 inference(rewrite,[status(thm)],[])).
% 76.40/48.20 tff(5129,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)))),
% 76.40/48.20 inference(monotonicity,[status(thm)],[5128])).
% 76.40/48.20 tff(5130,plain,
% 76.40/48.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 76.40/48.21 inference(transitivity,[status(thm)],[5129, 5127])).
% 76.40/48.21 tff(5131,plain,
% 76.40/48.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5132,plain,
% 76.40/48.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 76.40/48.21 tff(5133,plain,
% 76.40/48.21 ((~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5132, 1079, 5083])).
% 76.40/48.21 tff(5134,plain,
% 76.40/48.21 ((~v90(constB42, bitIndex1)) | v90(constB43, bitIndex1)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5133, 5095])).
% 76.40/48.21 tff(5135,plain,
% 76.40/48.21 (v90(constB43, bitIndex1)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5134, 5126])).
% 76.40/48.21 tff(5136,plain,
% 76.40/48.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5137,plain,
% 76.40/48.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5138,plain,
% 76.40/48.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0)),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5137, 5136])).
% 76.40/48.21 tff(5139,plain,
% 76.40/48.21 (v130(constB41, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5138, 1362, 4982])).
% 76.40/48.21 tff(5140,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5141,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5142,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5141, 5140])).
% 76.40/48.21 tff(5143,plain,
% 76.40/48.21 ((~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5142, 788, 5006])).
% 76.40/48.21 tff(5144,plain,
% 76.40/48.21 (v127(constB41, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5143, 5139])).
% 76.40/48.21 tff(5145,plain,
% 76.40/48.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5146,plain,
% 76.40/48.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5147,plain,
% 76.40/48.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 76.40/48.21 tff(5148,plain,
% 76.40/48.21 ((~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5147, 803, 5018])).
% 76.40/48.21 tff(5149,plain,
% 76.40/48.21 (v129(constB42, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5148, 5144])).
% 76.40/48.21 tff(5150,plain,
% 76.40/48.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5151,plain,
% 76.40/48.21 ((v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5152,plain,
% 76.40/48.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))))),
% 76.40/48.21 inference(monotonicity,[status(thm)],[5151])).
% 76.40/48.21 tff(5153,plain,
% 76.40/48.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 76.40/48.21 inference(transitivity,[status(thm)],[5152, 5150])).
% 76.40/48.21 tff(5154,plain,
% 76.40/48.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5155,plain,
% 76.40/48.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 76.40/48.21 tff(5156,plain,
% 76.40/48.21 (v90(constB42, bitIndex0) | (~v100(constB42))),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5155, 818, 5149])).
% 76.40/48.21 tff(5157,plain,
% 76.40/48.21 (v90(constB42, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5156, 5052])).
% 76.40/48.21 tff(5158,plain,
% 76.40/48.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5159,plain,
% 76.40/48.21 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5160,plain,
% 76.40/48.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)))),
% 76.40/48.21 inference(monotonicity,[status(thm)],[5159])).
% 76.40/48.21 tff(5161,plain,
% 76.40/48.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 76.40/48.21 inference(transitivity,[status(thm)],[5160, 5158])).
% 76.40/48.21 tff(5162,plain,
% 76.40/48.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5163,plain,
% 76.40/48.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 76.40/48.21 tff(5164,plain,
% 76.40/48.21 ((~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5163, 836, 5083])).
% 76.40/48.21 tff(5165,plain,
% 76.40/48.21 ((~v90(constB42, bitIndex0)) | v90(constB43, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5164, 5095])).
% 76.40/48.21 tff(5166,plain,
% 76.40/48.21 (v90(constB43, bitIndex0)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5165, 5157])).
% 76.40/48.21 tff(5167,plain,
% 76.40/48.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5168,plain,
% 76.40/48.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5169,plain,
% 76.40/48.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43)),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5168, 5167])).
% 76.40/48.21 tff(5170,plain,
% 76.40/48.21 (v122(constB43)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5169, 1403, 5166, 5135, 5104])).
% 76.40/48.21 tff(5171,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5172,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5173,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43))),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 76.40/48.21 tff(5174,plain,
% 76.40/48.21 (v116(constB43)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5173, 1470, 5170])).
% 76.40/48.21 tff(5175,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5176,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5177,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43))),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 76.40/48.21 tff(5178,plain,
% 76.40/48.21 (v115(constB43)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5177, 519, 5174])).
% 76.40/48.21 tff(5179,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5180,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5181,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43))),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 76.40/48.21 tff(5182,plain,
% 76.40/48.21 (v114(constB43)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5181, 530, 5178])).
% 76.40/48.21 tff(5183,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5184,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5185,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43))),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 76.40/48.21 tff(5186,plain,
% 76.40/48.21 (v113(constB43)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5185, 541, 5182])).
% 76.40/48.21 tff(5187,assumption,(v26(constB43)), introduced(assumption)).
% 76.40/48.21 tff(5188,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5189,plain,
% 76.40/48.21 ($false),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5188, 14, 5187])).
% 76.40/48.21 tff(5190,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 76.40/48.21 tff(5191,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5192,plain,
% 76.40/48.21 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5193,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43))))),
% 76.40/48.21 inference(monotonicity,[status(thm)],[5192])).
% 76.40/48.21 tff(5194,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 76.40/48.21 inference(transitivity,[status(thm)],[5193, 5191])).
% 76.40/48.21 tff(5195,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 76.40/48.21 inference(quant_inst,[status(thm)],[])).
% 76.40/48.21 tff(5196,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 76.40/48.21 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 76.40/48.21 tff(5197,plain,
% 76.40/48.21 (v112(constB43) | (~v113(constB43))),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5196, 555, 5190])).
% 76.40/48.21 tff(5198,plain,
% 76.40/48.21 (v112(constB43)),
% 76.40/48.21 inference(unit_resolution,[status(thm)],[5197, 5186])).
% 76.40/48.21 tff(5199,plain,
% 76.40/48.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43)))),
% 76.40/48.21 inference(rewrite,[status(thm)],[])).
% 76.40/48.21 tff(5200,plain,
% 76.40/48.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5201,plain,
% 76.42/48.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43))),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 76.42/48.22 tff(5202,plain,
% 76.42/48.22 (v108(constB43)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5201, 464, 5198])).
% 76.42/48.22 tff(5203,plain,
% 76.42/48.22 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5204,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 76.42/48.22 tff(5205,plain,
% 76.42/48.22 (nextState(constB43, constB44)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 76.42/48.22 tff(5206,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5207,plain,
% 76.42/48.22 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5208,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 76.42/48.22 inference(monotonicity,[status(thm)],[5207])).
% 76.42/48.22 tff(5209,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 76.42/48.22 inference(transitivity,[status(thm)],[5208, 5206])).
% 76.42/48.22 tff(5210,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5211,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 76.42/48.22 tff(5212,plain,
% 76.42/48.22 (v110(constB44) | (~v108(constB43))),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5211, 571, 5205])).
% 76.42/48.22 tff(5213,plain,
% 76.42/48.22 (v110(constB44)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5212, 5202])).
% 76.42/48.22 tff(5214,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5215,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5216,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 76.42/48.22 tff(5217,plain,
% 76.42/48.22 (~v104(constB44)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5216, 589, 5205, 5080])).
% 76.42/48.22 tff(5218,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5219,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5220,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 76.42/48.22 tff(5221,plain,
% 76.42/48.22 (v102(constB44) | v104(constB44)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5220, 603, 5205])).
% 76.42/48.22 tff(5222,plain,
% 76.42/48.22 (v102(constB44)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5221, 5217])).
% 76.42/48.22 tff(5223,plain,
% 76.42/48.22 (v1(constB44) <=> v1(constB44)),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5224,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 76.42/48.22 tff(5225,plain,
% 76.42/48.22 (v1(constB44)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 76.42/48.22 tff(5226,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5227,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5228,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 76.42/48.22 tff(5229,plain,
% 76.42/48.22 (v101(constB44) | (~v102(constB44))),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5228, 621, 5205, 5225])).
% 76.42/48.22 tff(5230,plain,
% 76.42/48.22 (v101(constB44)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5229, 5222])).
% 76.42/48.22 tff(5231,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5232,plain,
% 76.42/48.22 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5233,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 76.42/48.22 inference(monotonicity,[status(thm)],[5232])).
% 76.42/48.22 tff(5234,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 76.42/48.22 inference(transitivity,[status(thm)],[5233, 5231])).
% 76.42/48.22 tff(5235,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5236,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 76.42/48.22 tff(5237,plain,
% 76.42/48.22 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5236, 636, 5205])).
% 76.42/48.22 tff(5238,plain,
% 76.42/48.22 (v100(constB44) | (~v110(constB44))),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5237, 5230])).
% 76.42/48.22 tff(5239,plain,
% 76.42/48.22 (v100(constB44)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5238, 5213])).
% 76.42/48.22 tff(5240,plain,
% 76.42/48.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5241,plain,
% 76.42/48.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5242,plain,
% 76.42/48.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 76.42/48.22 tff(5243,plain,
% 76.42/48.22 (v130(constB43, bitIndex2)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5242, 1417, 5170])).
% 76.42/48.22 tff(5244,plain,
% 76.42/48.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5245,plain,
% 76.42/48.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5246,plain,
% 76.42/48.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5245, 5244])).
% 76.42/48.22 tff(5247,plain,
% 76.42/48.22 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5246, 1431, 5190])).
% 76.42/48.22 tff(5248,plain,
% 76.42/48.22 (v127(constB43, bitIndex2)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5247, 5243])).
% 76.42/48.22 tff(5249,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5250,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5251,plain,
% 76.42/48.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5250, 5249])).
% 76.42/48.22 tff(5252,plain,
% 76.42/48.22 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5251, 1449, 5205])).
% 76.42/48.22 tff(5253,plain,
% 76.42/48.22 (v129(constB44, bitIndex2)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5252, 5248])).
% 76.42/48.22 tff(5254,plain,
% 76.42/48.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5255,plain,
% 76.42/48.22 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5256,plain,
% 76.42/48.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 76.42/48.22 inference(monotonicity,[status(thm)],[5255])).
% 76.42/48.22 tff(5257,plain,
% 76.42/48.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 76.42/48.22 inference(transitivity,[status(thm)],[5256, 5254])).
% 76.42/48.22 tff(5258,plain,
% 76.42/48.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 76.42/48.22 inference(quant_inst,[status(thm)],[])).
% 76.42/48.22 tff(5259,plain,
% 76.42/48.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 76.42/48.22 tff(5260,plain,
% 76.42/48.22 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5259, 1539, 5253])).
% 76.42/48.22 tff(5261,plain,
% 76.42/48.22 (v90(constB44, bitIndex2)),
% 76.42/48.22 inference(unit_resolution,[status(thm)],[5260, 5239])).
% 76.42/48.22 tff(5262,plain,
% 76.42/48.22 ((~v1(constB45)) <=> (~v1(constB45))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5263,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 76.42/48.22 tff(5264,plain,
% 76.42/48.22 (~v1(constB45)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 76.42/48.22 tff(5265,plain,
% 76.42/48.22 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5266,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 76.42/48.22 tff(5267,plain,
% 76.42/48.22 (nextState(constB44, constB45)),
% 76.42/48.22 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 76.42/48.22 tff(5268,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5269,plain,
% 76.42/48.22 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 76.42/48.22 inference(rewrite,[status(thm)],[])).
% 76.42/48.22 tff(5270,plain,
% 76.42/48.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 76.42/48.23 inference(monotonicity,[status(thm)],[5269])).
% 76.42/48.23 tff(5271,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 76.42/48.23 inference(transitivity,[status(thm)],[5270, 5268])).
% 76.42/48.23 tff(5272,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5273,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 76.42/48.23 tff(5274,plain,
% 76.42/48.23 (~v101(constB45)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5273, 307, 5267, 5264])).
% 76.42/48.23 tff(5275,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5276,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5277,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 76.42/48.23 tff(5278,plain,
% 76.42/48.23 (v101(constB45) | (~v100(constB45))),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5277, 324, 5267])).
% 76.42/48.23 tff(5279,plain,
% 76.42/48.23 (~v100(constB45)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5278, 5274])).
% 76.42/48.23 tff(5280,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5281,plain,
% 76.42/48.23 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5282,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 76.42/48.23 inference(monotonicity,[status(thm)],[5281])).
% 76.42/48.23 tff(5283,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 76.42/48.23 inference(transitivity,[status(thm)],[5282, 5280])).
% 76.42/48.23 tff(5284,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5285,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 76.42/48.23 tff(5286,plain,
% 76.42/48.23 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5285, 1575, 5267])).
% 76.42/48.23 tff(5287,plain,
% 76.42/48.23 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5286, 5279])).
% 76.42/48.23 tff(5288,plain,
% 76.42/48.23 (v90(constB45, bitIndex2)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5287, 5261])).
% 76.42/48.23 tff(5289,plain,
% 76.42/48.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5290,plain,
% 76.42/48.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5291,plain,
% 76.42/48.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1))),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5290, 5289])).
% 76.42/48.23 tff(5292,plain,
% 76.42/48.23 (~v130(constB43, bitIndex1)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5291, 1594, 5170])).
% 76.42/48.23 tff(5293,plain,
% 76.42/48.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5294,plain,
% 76.42/48.23 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5295,plain,
% 76.42/48.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 76.42/48.23 inference(monotonicity,[status(thm)],[5294])).
% 76.42/48.23 tff(5296,plain,
% 76.42/48.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 76.42/48.23 inference(transitivity,[status(thm)],[5295, 5293])).
% 76.42/48.23 tff(5297,plain,
% 76.42/48.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5298,plain,
% 76.42/48.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 76.42/48.23 tff(5299,plain,
% 76.42/48.23 ((~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5298, 714, 5190])).
% 76.42/48.23 tff(5300,plain,
% 76.42/48.23 (~v127(constB43, bitIndex1)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5299, 5292])).
% 76.42/48.23 tff(5301,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5302,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5303,plain,
% 76.42/48.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 76.42/48.23 tff(5304,plain,
% 76.42/48.23 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5303, 732, 5205])).
% 76.42/48.23 tff(5305,plain,
% 76.42/48.23 (~v129(constB44, bitIndex1)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5304, 5300])).
% 76.42/48.23 tff(5306,plain,
% 76.42/48.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5307,plain,
% 76.42/48.23 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 76.42/48.23 inference(rewrite,[status(thm)],[])).
% 76.42/48.23 tff(5308,plain,
% 76.42/48.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))))),
% 76.42/48.23 inference(monotonicity,[status(thm)],[5307])).
% 76.42/48.23 tff(5309,plain,
% 76.42/48.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 76.42/48.23 inference(transitivity,[status(thm)],[5308, 5306])).
% 76.42/48.23 tff(5310,plain,
% 76.42/48.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 76.42/48.23 inference(quant_inst,[status(thm)],[])).
% 76.42/48.23 tff(5311,plain,
% 76.42/48.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 76.42/48.23 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 76.42/48.23 tff(5312,plain,
% 76.42/48.23 ((~v90(constB44, bitIndex1)) | (~v100(constB44))),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5311, 747, 5305])).
% 76.42/48.23 tff(5313,plain,
% 76.42/48.23 (~v90(constB44, bitIndex1)),
% 76.42/48.23 inference(unit_resolution,[status(thm)],[5312, 5239])).
% 76.42/48.23 tff(5314,plain,
% 76.42/48.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5315,plain,
% 76.42/48.24 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5316,plain,
% 76.42/48.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))))),
% 76.42/48.24 inference(monotonicity,[status(thm)],[5315])).
% 76.42/48.24 tff(5317,plain,
% 76.42/48.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 76.42/48.24 inference(transitivity,[status(thm)],[5316, 5314])).
% 76.42/48.24 tff(5318,plain,
% 76.42/48.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5319,plain,
% 76.42/48.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 76.42/48.24 tff(5320,plain,
% 76.42/48.24 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5319, 360, 5267])).
% 76.42/48.24 tff(5321,plain,
% 76.42/48.24 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5320, 5279])).
% 76.42/48.24 tff(5322,plain,
% 76.42/48.24 (~v90(constB45, bitIndex1)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5321, 5313])).
% 76.42/48.24 tff(5323,plain,
% 76.42/48.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5324,plain,
% 76.42/48.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5325,plain,
% 76.42/48.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0))),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 76.42/48.24 tff(5326,plain,
% 76.42/48.24 (~v130(constB43, bitIndex0)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5325, 1638, 5170])).
% 76.42/48.24 tff(5327,plain,
% 76.42/48.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5328,plain,
% 76.42/48.24 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5329,plain,
% 76.42/48.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 76.42/48.24 inference(monotonicity,[status(thm)],[5328])).
% 76.42/48.24 tff(5330,plain,
% 76.42/48.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 76.42/48.24 inference(transitivity,[status(thm)],[5329, 5327])).
% 76.42/48.24 tff(5331,plain,
% 76.42/48.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5332,plain,
% 76.42/48.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 76.42/48.24 tff(5333,plain,
% 76.42/48.24 ((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5332, 1112, 5190])).
% 76.42/48.24 tff(5334,plain,
% 76.42/48.24 (~v127(constB43, bitIndex0)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5333, 5326])).
% 76.42/48.24 tff(5335,plain,
% 76.42/48.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5336,plain,
% 76.42/48.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5337,plain,
% 76.42/48.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 76.42/48.24 tff(5338,plain,
% 76.42/48.24 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5337, 1130, 5205])).
% 76.42/48.24 tff(5339,plain,
% 76.42/48.24 (~v129(constB44, bitIndex0)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5338, 5334])).
% 76.42/48.24 tff(5340,plain,
% 76.42/48.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5341,plain,
% 76.42/48.24 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5342,plain,
% 76.42/48.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 76.42/48.24 inference(monotonicity,[status(thm)],[5341])).
% 76.42/48.24 tff(5343,plain,
% 76.42/48.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 76.42/48.24 inference(transitivity,[status(thm)],[5342, 5340])).
% 76.42/48.24 tff(5344,plain,
% 76.42/48.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5345,plain,
% 76.42/48.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 76.42/48.24 tff(5346,plain,
% 76.42/48.24 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5345, 1145, 5339])).
% 76.42/48.24 tff(5347,plain,
% 76.42/48.24 (~v90(constB44, bitIndex0)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5346, 5239])).
% 76.42/48.24 tff(5348,plain,
% 76.42/48.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5349,plain,
% 76.42/48.24 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5350,plain,
% 76.42/48.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 76.42/48.24 inference(monotonicity,[status(thm)],[5349])).
% 76.42/48.24 tff(5351,plain,
% 76.42/48.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 76.42/48.24 inference(transitivity,[status(thm)],[5350, 5348])).
% 76.42/48.24 tff(5352,plain,
% 76.42/48.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5353,plain,
% 76.42/48.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 76.42/48.24 tff(5354,plain,
% 76.42/48.24 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5353, 381, 5267])).
% 76.42/48.24 tff(5355,plain,
% 76.42/48.24 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5354, 5279])).
% 76.42/48.24 tff(5356,plain,
% 76.42/48.24 (~v90(constB45, bitIndex0)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5355, 5347])).
% 76.42/48.24 tff(5357,plain,
% 76.42/48.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5358,plain,
% 76.42/48.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5359,plain,
% 76.42/48.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 76.42/48.24 inference(modus_ponens,[status(thm)],[5358, 5357])).
% 76.42/48.24 tff(5360,plain,
% 76.42/48.24 (v123(constB45)),
% 76.42/48.24 inference(unit_resolution,[status(thm)],[5359, 1682, 5356, 5322, 5288])).
% 76.42/48.24 tff(5361,plain,
% 76.42/48.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45)))),
% 76.42/48.24 inference(rewrite,[status(thm)],[])).
% 76.42/48.24 tff(5362,plain,
% 76.42/48.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))),
% 76.42/48.24 inference(quant_inst,[status(thm)],[])).
% 76.42/48.24 tff(5363,plain,
% 76.42/48.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5362, 5361])).
% 76.42/48.25 tff(5364,plain,
% 76.42/48.25 (v115(constB45)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5363, 1693, 5360])).
% 76.42/48.25 tff(5365,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5366,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5367,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 76.42/48.25 tff(5368,plain,
% 76.42/48.25 (v114(constB45)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5367, 530, 5364])).
% 76.42/48.25 tff(5369,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5370,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5371,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 76.42/48.25 tff(5372,plain,
% 76.42/48.25 (v113(constB45)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5371, 541, 5368])).
% 76.42/48.25 tff(5373,assumption,(v26(constB45)), introduced(assumption)).
% 76.42/48.25 tff(5374,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5375,plain,
% 76.42/48.25 ($false),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5374, 14, 5373])).
% 76.42/48.25 tff(5376,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 76.42/48.25 tff(5377,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5378,plain,
% 76.42/48.25 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5379,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45))))),
% 76.42/48.25 inference(monotonicity,[status(thm)],[5378])).
% 76.42/48.25 tff(5380,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 76.42/48.25 inference(transitivity,[status(thm)],[5379, 5377])).
% 76.42/48.25 tff(5381,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5382,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 76.42/48.25 tff(5383,plain,
% 76.42/48.25 (v112(constB45) | (~v113(constB45))),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5382, 555, 5376])).
% 76.42/48.25 tff(5384,plain,
% 76.42/48.25 (v112(constB45)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5383, 5372])).
% 76.42/48.25 tff(5385,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5386,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5387,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 76.42/48.25 tff(5388,plain,
% 76.42/48.25 (v108(constB45)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5387, 464, 5384])).
% 76.42/48.25 tff(5389,plain,
% 76.42/48.25 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5390,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 76.42/48.25 tff(5391,plain,
% 76.42/48.25 (nextState(constB45, constB46)),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 76.42/48.25 tff(5392,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5393,plain,
% 76.42/48.25 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5394,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 76.42/48.25 inference(monotonicity,[status(thm)],[5393])).
% 76.42/48.25 tff(5395,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 76.42/48.25 inference(transitivity,[status(thm)],[5394, 5392])).
% 76.42/48.25 tff(5396,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5397,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 76.42/48.25 tff(5398,plain,
% 76.42/48.25 (v110(constB46) | (~v108(constB45))),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5397, 571, 5391])).
% 76.42/48.25 tff(5399,plain,
% 76.42/48.25 (v110(constB46)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5398, 5388])).
% 76.42/48.25 tff(5400,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5401,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5402,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 76.42/48.25 tff(5403,plain,
% 76.42/48.25 (~v104(constB46)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5402, 589, 5391, 5264])).
% 76.42/48.25 tff(5404,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5405,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5406,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5405, 5404])).
% 76.42/48.25 tff(5407,plain,
% 76.42/48.25 (v102(constB46) | v104(constB46)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5406, 603, 5391])).
% 76.42/48.25 tff(5408,plain,
% 76.42/48.25 (v102(constB46)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5407, 5403])).
% 76.42/48.25 tff(5409,plain,
% 76.42/48.25 (v1(constB46) <=> v1(constB46)),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5410,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 76.42/48.25 tff(5411,plain,
% 76.42/48.25 (v1(constB46)),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 76.42/48.25 tff(5412,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5413,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5414,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 76.42/48.25 tff(5415,plain,
% 76.42/48.25 (v101(constB46) | (~v102(constB46))),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5414, 621, 5391, 5411])).
% 76.42/48.25 tff(5416,plain,
% 76.42/48.25 (v101(constB46)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5415, 5408])).
% 76.42/48.25 tff(5417,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5418,plain,
% 76.42/48.25 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5419,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 76.42/48.25 inference(monotonicity,[status(thm)],[5418])).
% 76.42/48.25 tff(5420,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 76.42/48.25 inference(transitivity,[status(thm)],[5419, 5417])).
% 76.42/48.25 tff(5421,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5422,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 76.42/48.25 tff(5423,plain,
% 76.42/48.25 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5422, 636, 5391])).
% 76.42/48.25 tff(5424,plain,
% 76.42/48.25 (v100(constB46) | (~v110(constB46))),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5423, 5416])).
% 76.42/48.25 tff(5425,plain,
% 76.42/48.25 (v100(constB46)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5424, 5399])).
% 76.42/48.25 tff(5426,plain,
% 76.42/48.25 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5427,plain,
% 76.42/48.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5428,plain,
% 76.42/48.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0)),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 76.42/48.25 tff(5429,plain,
% 76.42/48.25 (v130(constB45, bitIndex0)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5428, 1836, 5360])).
% 76.42/48.25 tff(5430,plain,
% 76.42/48.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5431,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5432,plain,
% 76.42/48.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 76.42/48.25 tff(5433,plain,
% 76.42/48.25 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5432, 788, 5376])).
% 76.42/48.25 tff(5434,plain,
% 76.42/48.25 (v127(constB45, bitIndex0)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5433, 5429])).
% 76.42/48.25 tff(5435,plain,
% 76.42/48.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5436,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.25 tff(5437,plain,
% 76.42/48.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 76.42/48.25 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 76.42/48.25 tff(5438,plain,
% 76.42/48.25 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5437, 803, 5391])).
% 76.42/48.25 tff(5439,plain,
% 76.42/48.25 (v129(constB46, bitIndex0)),
% 76.42/48.25 inference(unit_resolution,[status(thm)],[5438, 5434])).
% 76.42/48.25 tff(5440,plain,
% 76.42/48.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5441,plain,
% 76.42/48.25 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 76.42/48.25 inference(rewrite,[status(thm)],[])).
% 76.42/48.25 tff(5442,plain,
% 76.42/48.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 76.42/48.25 inference(monotonicity,[status(thm)],[5441])).
% 76.42/48.25 tff(5443,plain,
% 76.42/48.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 76.42/48.25 inference(transitivity,[status(thm)],[5442, 5440])).
% 76.42/48.25 tff(5444,plain,
% 76.42/48.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 76.42/48.25 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5445,plain,
% 76.42/48.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5444, 5443])).
% 76.42/48.26 tff(5446,plain,
% 76.42/48.26 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5445, 818, 5439])).
% 76.42/48.26 tff(5447,plain,
% 76.42/48.26 (v90(constB46, bitIndex0)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5446, 5425])).
% 76.42/48.26 tff(5448,plain,
% 76.42/48.26 ((~v1(constB47)) <=> (~v1(constB47))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5449,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 76.42/48.26 tff(5450,plain,
% 76.42/48.26 (~v1(constB47)),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 76.42/48.26 tff(5451,plain,
% 76.42/48.26 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5452,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 76.42/48.26 tff(5453,plain,
% 76.42/48.26 (nextState(constB46, constB47)),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5452, 5451])).
% 76.42/48.26 tff(5454,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5455,plain,
% 76.42/48.26 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5456,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 76.42/48.26 inference(monotonicity,[status(thm)],[5455])).
% 76.42/48.26 tff(5457,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 76.42/48.26 inference(transitivity,[status(thm)],[5456, 5454])).
% 76.42/48.26 tff(5458,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 76.42/48.26 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5459,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 76.42/48.26 tff(5460,plain,
% 76.42/48.26 (~v101(constB47)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5459, 307, 5453, 5450])).
% 76.42/48.26 tff(5461,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5462,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 76.42/48.26 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5463,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 76.42/48.26 tff(5464,plain,
% 76.42/48.26 (v101(constB47) | (~v100(constB47))),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5463, 324, 5453])).
% 76.42/48.26 tff(5465,plain,
% 76.42/48.26 (~v100(constB47)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5464, 5460])).
% 76.42/48.26 tff(5466,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5467,plain,
% 76.42/48.26 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5468,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 76.42/48.26 inference(monotonicity,[status(thm)],[5467])).
% 76.42/48.26 tff(5469,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 76.42/48.26 inference(transitivity,[status(thm)],[5468, 5466])).
% 76.42/48.26 tff(5470,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 76.42/48.26 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5471,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 76.42/48.26 tff(5472,plain,
% 76.42/48.26 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5471, 836, 5453])).
% 76.42/48.26 tff(5473,plain,
% 76.42/48.26 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5472, 5465])).
% 76.42/48.26 tff(5474,plain,
% 76.42/48.26 (v90(constB47, bitIndex0)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5473, 5447])).
% 76.42/48.26 tff(5475,plain,
% 76.42/48.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5476,plain,
% 76.42/48.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 76.42/48.26 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5477,plain,
% 76.42/48.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1))),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5476, 5475])).
% 76.42/48.26 tff(5478,plain,
% 76.42/48.26 (~v130(constB45, bitIndex1)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5477, 1765, 5360])).
% 76.42/48.26 tff(5479,plain,
% 76.42/48.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5480,plain,
% 76.42/48.26 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5481,plain,
% 76.42/48.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 76.42/48.26 inference(monotonicity,[status(thm)],[5480])).
% 76.42/48.26 tff(5482,plain,
% 76.42/48.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 76.42/48.26 inference(transitivity,[status(thm)],[5481, 5479])).
% 76.42/48.26 tff(5483,plain,
% 76.42/48.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 76.42/48.26 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5484,plain,
% 76.42/48.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 76.42/48.26 tff(5485,plain,
% 76.42/48.26 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5484, 714, 5376])).
% 76.42/48.26 tff(5486,plain,
% 76.42/48.26 (~v127(constB45, bitIndex1)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5485, 5478])).
% 76.42/48.26 tff(5487,plain,
% 76.42/48.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5488,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 76.42/48.26 inference(quant_inst,[status(thm)],[])).
% 76.42/48.26 tff(5489,plain,
% 76.42/48.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 76.42/48.26 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 76.42/48.26 tff(5490,plain,
% 76.42/48.26 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5489, 732, 5391])).
% 76.42/48.26 tff(5491,plain,
% 76.42/48.26 (~v129(constB46, bitIndex1)),
% 76.42/48.26 inference(unit_resolution,[status(thm)],[5490, 5486])).
% 76.42/48.26 tff(5492,plain,
% 76.42/48.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 76.42/48.26 inference(rewrite,[status(thm)],[])).
% 76.42/48.26 tff(5493,plain,
% 76.42/48.26 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5494,plain,
% 76.42/48.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 76.42/48.27 inference(monotonicity,[status(thm)],[5493])).
% 76.42/48.27 tff(5495,plain,
% 76.42/48.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 76.42/48.27 inference(transitivity,[status(thm)],[5494, 5492])).
% 76.42/48.27 tff(5496,plain,
% 76.42/48.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5497,plain,
% 76.42/48.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 76.42/48.27 tff(5498,plain,
% 76.42/48.27 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5497, 747, 5491])).
% 76.42/48.27 tff(5499,plain,
% 76.42/48.27 (~v90(constB46, bitIndex1)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5498, 5425])).
% 76.42/48.27 tff(5500,plain,
% 76.42/48.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5501,plain,
% 76.42/48.27 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5502,plain,
% 76.42/48.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 76.42/48.27 inference(monotonicity,[status(thm)],[5501])).
% 76.42/48.27 tff(5503,plain,
% 76.42/48.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 76.42/48.27 inference(transitivity,[status(thm)],[5502, 5500])).
% 76.42/48.27 tff(5504,plain,
% 76.42/48.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5505,plain,
% 76.42/48.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5504, 5503])).
% 76.42/48.27 tff(5506,plain,
% 76.42/48.27 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5505, 360, 5453])).
% 76.42/48.27 tff(5507,plain,
% 76.42/48.27 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5506, 5465])).
% 76.42/48.27 tff(5508,plain,
% 76.42/48.27 (~v90(constB47, bitIndex1)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5507, 5499])).
% 76.42/48.27 tff(5509,plain,
% 76.42/48.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5510,plain,
% 76.42/48.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5511,plain,
% 76.42/48.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2)),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 76.42/48.27 tff(5512,plain,
% 76.42/48.27 (v130(constB45, bitIndex2)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5511, 1877, 5360])).
% 76.42/48.27 tff(5513,plain,
% 76.42/48.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5514,plain,
% 76.42/48.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5515,plain,
% 76.42/48.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 76.42/48.27 tff(5516,plain,
% 76.42/48.27 ((~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5515, 1431, 5376])).
% 76.42/48.27 tff(5517,plain,
% 76.42/48.27 (v127(constB45, bitIndex2)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5516, 5512])).
% 76.42/48.27 tff(5518,plain,
% 76.42/48.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5519,plain,
% 76.42/48.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5520,plain,
% 76.42/48.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 76.42/48.27 tff(5521,plain,
% 76.42/48.27 ((~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5520, 1449, 5391])).
% 76.42/48.27 tff(5522,plain,
% 76.42/48.27 (v129(constB46, bitIndex2)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5521, 5517])).
% 76.42/48.27 tff(5523,assumption,(~v90(constB46, bitIndex2)), introduced(assumption)).
% 76.42/48.27 tff(5524,assumption,(v129(constB46, bitIndex2)), introduced(assumption)).
% 76.42/48.27 tff(5525,plain,
% 76.42/48.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5526,plain,
% 76.42/48.27 ((v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5527,plain,
% 76.42/48.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))))),
% 76.42/48.27 inference(monotonicity,[status(thm)],[5526])).
% 76.42/48.27 tff(5528,plain,
% 76.42/48.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 76.42/48.27 inference(transitivity,[status(thm)],[5527, 5525])).
% 76.42/48.27 tff(5529,plain,
% 76.42/48.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5530,plain,
% 76.42/48.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 76.42/48.27 tff(5531,plain,
% 76.42/48.27 (v90(constB46, bitIndex2) | (~v100(constB46))),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5530, 1539, 5524])).
% 76.42/48.27 tff(5532,plain,
% 76.42/48.27 (~v100(constB46)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5531, 5523])).
% 76.42/48.27 tff(5533,plain,
% 76.42/48.27 (~v110(constB46)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5424, 5532])).
% 76.42/48.27 tff(5534,plain,
% 76.42/48.27 (~v108(constB45)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5398, 5533])).
% 76.42/48.27 tff(5535,plain,
% 76.42/48.27 (~v112(constB45)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5387, 464, 5534])).
% 76.42/48.27 tff(5536,plain,
% 76.42/48.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5537,plain,
% 76.42/48.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5538,plain,
% 76.42/48.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 76.42/48.27 tff(5539,plain,
% 76.42/48.27 (v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5538, 451, 5391])).
% 76.42/48.27 tff(5540,plain,
% 76.42/48.27 (v127(constB45, bitIndex2)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5539, 5524])).
% 76.42/48.27 tff(5541,plain,
% 76.42/48.27 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 76.42/48.27 inference(bind,[status(th)],[])).
% 76.42/48.27 tff(5542,plain,
% 76.42/48.27 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(quant_intro,[status(thm)],[5541])).
% 76.42/48.27 tff(5543,plain,
% 76.42/48.27 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5544,plain,
% 76.42/48.27 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 76.42/48.27 inference(bind,[status(th)],[])).
% 76.42/48.27 tff(5545,plain,
% 76.42/48.27 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(quant_intro,[status(thm)],[5544])).
% 76.42/48.27 tff(5546,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 76.42/48.27 tff(5547,plain,
% 76.42/48.27 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 76.42/48.27 tff(5548,plain,
% 76.42/48.27 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5547, 5543])).
% 76.42/48.27 tff(5549,plain,(
% 76.42/48.27 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(skolemize,[status(sab)],[5548])).
% 76.42/48.27 tff(5550,plain,
% 76.42/48.27 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5549, 5542])).
% 76.42/48.27 tff(5551,plain,
% 76.42/48.27 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB45)) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB45)) | (~v127(constB45, bitIndex2)))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5552,plain,
% 76.42/48.27 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB45)) | (~v127(constB45, bitIndex2)))),
% 76.42/48.27 inference(quant_inst,[status(thm)],[])).
% 76.42/48.27 tff(5553,plain,
% 76.42/48.27 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB45)) | (~v127(constB45, bitIndex2))),
% 76.42/48.27 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 76.42/48.27 tff(5554,plain,
% 76.42/48.27 (~v26(constB45)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5553, 5550, 5540])).
% 76.42/48.27 tff(5555,plain,
% 76.42/48.27 (v112(constB45) | (~v113(constB45))),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5382, 555, 5554])).
% 76.42/48.27 tff(5556,plain,
% 76.42/48.27 (~v113(constB45)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5555, 5535])).
% 76.42/48.27 tff(5557,plain,
% 76.42/48.27 (~v114(constB45)),
% 76.42/48.27 inference(unit_resolution,[status(thm)],[5371, 541, 5556])).
% 76.42/48.27 tff(5558,assumption,(~v123(constB45)), introduced(assumption)).
% 76.42/48.27 tff(5559,plain,
% 76.42/48.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5560,plain,
% 76.42/48.27 ((v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2))) <=> ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 76.42/48.27 inference(rewrite,[status(thm)],[])).
% 76.42/48.27 tff(5561,plain,
% 76.42/48.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)))),
% 76.42/48.27 inference(monotonicity,[status(thm)],[5560])).
% 76.42/48.27 tff(5562,plain,
% 76.42/48.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 76.42/48.28 inference(transitivity,[status(thm)],[5561, 5559])).
% 76.42/48.28 tff(5563,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5564,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 76.42/48.28 tff(5565,plain,
% 76.42/48.28 (v130(constB45, bitIndex2)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5564, 430, 5540, 5554])).
% 76.42/48.28 tff(5566,plain,
% 76.42/48.28 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5567,plain,
% 76.42/48.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5568,plain,
% 76.42/48.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v130(constB45, bitIndex2))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5567, 5566])).
% 76.42/48.28 tff(5569,plain,
% 76.42/48.28 (~v121(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5568, 1259, 5565])).
% 76.42/48.28 tff(5570,plain,
% 76.42/48.28 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB45)) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5571,plain,
% 76.42/48.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB45)) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5572,plain,
% 76.42/48.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB45)) | (~v130(constB45, bitIndex2))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 76.42/48.28 tff(5573,plain,
% 76.42/48.28 (~v119(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5572, 416, 5565])).
% 76.42/48.28 tff(5574,plain,
% 76.42/48.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB45)) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5575,plain,
% 76.42/48.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB45)) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5576,plain,
% 76.42/48.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB45)) | (~v130(constB45, bitIndex2))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 76.42/48.28 tff(5577,plain,
% 76.42/48.28 (~v120(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5576, 872, 5565])).
% 76.42/48.28 tff(5578,plain,
% 76.42/48.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5579,plain,
% 76.42/48.28 (((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2)) <=> ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5580,plain,
% 76.42/48.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2)))),
% 76.42/48.28 inference(monotonicity,[status(thm)],[5579])).
% 76.42/48.28 tff(5581,plain,
% 76.42/48.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 76.42/48.28 inference(transitivity,[status(thm)],[5580, 5578])).
% 76.42/48.28 tff(5582,plain,
% 76.42/48.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5583,plain,
% 76.42/48.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2)),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 76.42/48.28 tff(5584,plain,
% 76.42/48.28 ((~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5583, 1575, 5391])).
% 76.42/48.28 tff(5585,plain,
% 76.42/48.28 (~v90(constB45, bitIndex2)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5584, 5532, 5523])).
% 76.42/48.28 tff(5586,plain,
% 76.42/48.28 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v124(VarCurr))))),
% 76.42/48.28 inference(bind,[status(th)],[])).
% 76.42/48.28 tff(5587,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 76.42/48.28 inference(quant_intro,[status(thm)],[5586])).
% 76.42/48.28 tff(5588,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5589,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 76.42/48.28 tff(5590,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 76.42/48.28 tff(5591,plain,(
% 76.42/48.28 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 76.42/48.28 inference(skolemize,[status(sab)],[5590])).
% 76.42/48.28 tff(5592,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5591, 5587])).
% 76.42/48.28 tff(5593,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB45, bitIndex2) | (~v124(constB45)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB45, bitIndex2) | (~v124(constB45)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5594,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB45, bitIndex2) | (~v124(constB45)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5595,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB45, bitIndex2) | (~v124(constB45))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 76.42/48.28 tff(5596,plain,
% 76.42/48.28 (~v124(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5595, 5592, 5585])).
% 76.42/48.28 tff(5597,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB45, bitIndex2)) | v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB45, bitIndex2)) | v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5598,plain,
% 76.42/48.28 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2))) <=> ((~v130(constB45, bitIndex2)) | v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5599,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB45, bitIndex2)) | v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45)))),
% 76.42/48.28 inference(monotonicity,[status(thm)],[5598])).
% 76.42/48.28 tff(5600,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB45, bitIndex2)) | v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45))),
% 76.42/48.28 inference(transitivity,[status(thm)],[5599, 5597])).
% 76.42/48.28 tff(5601,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5602,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB45, bitIndex2)) | v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45)),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 76.42/48.28 tff(5603,plain,
% 76.42/48.28 (v123(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | v122(constB45) | v124(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5602, 2290, 5565])).
% 76.42/48.28 tff(5604,plain,
% 76.42/48.28 (v122(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5603, 5596, 5577, 5573, 5569, 5558])).
% 76.42/48.28 tff(5605,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB45) | (~v122(constB45)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB45) | (~v122(constB45)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5606,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB45) | (~v122(constB45)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5607,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB45) | (~v122(constB45))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5606, 5605])).
% 76.42/48.28 tff(5608,plain,
% 76.42/48.28 (v116(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5607, 1470, 5604])).
% 76.42/48.28 tff(5609,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB45) | (~v116(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB45) | (~v116(constB45)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5610,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB45) | (~v116(constB45)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5611,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB45) | (~v116(constB45))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 76.42/48.28 tff(5612,plain,
% 76.42/48.28 (v115(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5611, 519, 5608])).
% 76.42/48.28 tff(5613,plain,
% 76.42/48.28 ($false),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5367, 530, 5612, 5557])).
% 76.42/48.28 tff(5614,plain,(v90(constB46, bitIndex2) | v123(constB45) | (~v129(constB46, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 76.42/48.28 tff(5615,plain,
% 76.42/48.28 (v123(constB45)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5614, 5524, 5523])).
% 76.42/48.28 tff(5616,plain,
% 76.42/48.28 ((~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5530, 1539, 5523])).
% 76.42/48.28 tff(5617,plain,
% 76.42/48.28 (~v100(constB46)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5616, 5524])).
% 76.42/48.28 tff(5618,plain,
% 76.42/48.28 (~v90(constB45, bitIndex2)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5584, 5617, 5523])).
% 76.42/48.28 tff(5619,plain,
% 76.42/48.28 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v123(VarCurr))))),
% 76.42/48.28 inference(bind,[status(th)],[])).
% 76.42/48.28 tff(5620,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 76.42/48.28 inference(quant_intro,[status(thm)],[5619])).
% 76.42/48.28 tff(5621,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5622,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 76.42/48.28 tff(5623,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 76.42/48.28 tff(5624,plain,(
% 76.42/48.28 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 76.42/48.28 inference(skolemize,[status(sab)],[5623])).
% 76.42/48.28 tff(5625,plain,
% 76.42/48.28 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5624, 5620])).
% 76.42/48.28 tff(5626,plain,
% 76.42/48.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB45, bitIndex2) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB45, bitIndex2) | (~v123(constB45)))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5627,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB45, bitIndex2) | (~v123(constB45)))),
% 76.42/48.28 inference(quant_inst,[status(thm)],[])).
% 76.42/48.28 tff(5628,plain,
% 76.42/48.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB45, bitIndex2) | (~v123(constB45))),
% 76.42/48.28 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 76.42/48.28 tff(5629,plain,
% 76.42/48.28 ($false),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5628, 5625, 5618, 5615])).
% 76.42/48.28 tff(5630,plain,((~v129(constB46, bitIndex2)) | v90(constB46, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 76.42/48.28 tff(5631,plain,
% 76.42/48.28 (v90(constB46, bitIndex2)),
% 76.42/48.28 inference(unit_resolution,[status(thm)],[5630, 5522])).
% 76.42/48.28 tff(5632,plain,
% 76.42/48.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 76.42/48.28 inference(rewrite,[status(thm)],[])).
% 76.42/48.28 tff(5633,plain,
% 76.42/48.28 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5634,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)))),
% 76.42/48.29 inference(monotonicity,[status(thm)],[5633])).
% 76.42/48.29 tff(5635,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 76.42/48.29 inference(transitivity,[status(thm)],[5634, 5632])).
% 76.42/48.29 tff(5636,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5637,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 76.42/48.29 tff(5638,plain,
% 76.42/48.29 ((~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5637, 1575, 5453])).
% 76.42/48.29 tff(5639,plain,
% 76.42/48.29 ((~v90(constB46, bitIndex2)) | v90(constB47, bitIndex2)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5638, 5465])).
% 76.42/48.29 tff(5640,plain,
% 76.42/48.29 (v90(constB47, bitIndex2)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5639, 5631])).
% 76.42/48.29 tff(5641,plain,
% 76.42/48.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5642,plain,
% 76.42/48.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5643,plain,
% 76.42/48.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47)),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 76.42/48.29 tff(5644,plain,
% 76.42/48.29 ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v124(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5643, 1919, 5640])).
% 76.42/48.29 tff(5645,plain,
% 76.42/48.29 (v124(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5644, 5508, 5474])).
% 76.42/48.29 tff(5646,plain,
% 76.42/48.29 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5647,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5648,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 76.42/48.29 tff(5649,plain,
% 76.42/48.29 (v114(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5648, 1951, 5645])).
% 76.42/48.29 tff(5650,plain,
% 76.42/48.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5651,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5652,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5651, 5650])).
% 76.42/48.29 tff(5653,plain,
% 76.42/48.29 (v113(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5652, 541, 5649])).
% 76.42/48.29 tff(5654,assumption,(v26(constB47)), introduced(assumption)).
% 76.42/48.29 tff(5655,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5656,plain,
% 76.42/48.29 ($false),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5655, 14, 5654])).
% 76.42/48.29 tff(5657,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 76.42/48.29 tff(5658,plain,
% 76.42/48.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5659,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5660,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | (~v113(constB47)) | v112(constB47)),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 76.42/48.29 tff(5661,plain,
% 76.42/48.29 ((~v113(constB47)) | v112(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5660, 555, 5657])).
% 76.42/48.29 tff(5662,plain,
% 76.42/48.29 (v112(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5661, 5653])).
% 76.42/48.29 tff(5663,plain,
% 76.42/48.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5664,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5665,plain,
% 76.42/48.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5664, 5663])).
% 76.42/48.29 tff(5666,plain,
% 76.42/48.29 (v108(constB47)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5665, 464, 5662])).
% 76.42/48.29 tff(5667,plain,
% 76.42/48.29 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5668,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 76.42/48.29 tff(5669,plain,
% 76.42/48.29 (nextState(constB47, constB48)),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5668, 5667])).
% 76.42/48.29 tff(5670,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5671,plain,
% 76.42/48.29 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5672,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 76.42/48.29 inference(monotonicity,[status(thm)],[5671])).
% 76.42/48.29 tff(5673,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 76.42/48.29 inference(transitivity,[status(thm)],[5672, 5670])).
% 76.42/48.29 tff(5674,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5675,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5674, 5673])).
% 76.42/48.29 tff(5676,plain,
% 76.42/48.29 (v110(constB48) | (~v108(constB47))),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5675, 571, 5669])).
% 76.42/48.29 tff(5677,plain,
% 76.42/48.29 (v110(constB48)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5676, 5666])).
% 76.42/48.29 tff(5678,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5679,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5680,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 76.42/48.29 tff(5681,plain,
% 76.42/48.29 (~v104(constB48)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5680, 589, 5669, 5450])).
% 76.42/48.29 tff(5682,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5683,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5684,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5683, 5682])).
% 76.42/48.29 tff(5685,plain,
% 76.42/48.29 (v102(constB48) | v104(constB48)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5684, 603, 5669])).
% 76.42/48.29 tff(5686,plain,
% 76.42/48.29 (v102(constB48)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5685, 5681])).
% 76.42/48.29 tff(5687,plain,
% 76.42/48.29 (v1(constB48) <=> v1(constB48)),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5688,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 76.42/48.29 tff(5689,plain,
% 76.42/48.29 (v1(constB48)),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 76.42/48.29 tff(5690,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5691,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5692,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 76.42/48.29 tff(5693,plain,
% 76.42/48.29 (v101(constB48) | (~v102(constB48))),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5692, 621, 5669, 5689])).
% 76.42/48.29 tff(5694,plain,
% 76.42/48.29 (v101(constB48)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5693, 5686])).
% 76.42/48.29 tff(5695,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5696,plain,
% 76.42/48.29 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.29 tff(5697,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 76.42/48.29 inference(monotonicity,[status(thm)],[5696])).
% 76.42/48.29 tff(5698,plain,
% 76.42/48.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 76.42/48.29 inference(transitivity,[status(thm)],[5697, 5695])).
% 76.42/48.29 tff(5699,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 76.42/48.29 inference(quant_inst,[status(thm)],[])).
% 76.42/48.29 tff(5700,plain,
% 76.42/48.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 76.42/48.29 inference(modus_ponens,[status(thm)],[5699, 5698])).
% 76.42/48.29 tff(5701,plain,
% 76.42/48.29 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5700, 636, 5669])).
% 76.42/48.29 tff(5702,plain,
% 76.42/48.29 (v100(constB48) | (~v110(constB48))),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5701, 5694])).
% 76.42/48.29 tff(5703,plain,
% 76.42/48.29 (v100(constB48)),
% 76.42/48.29 inference(unit_resolution,[status(thm)],[5702, 5677])).
% 76.42/48.29 tff(5704,plain,
% 76.42/48.29 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2))),
% 76.42/48.29 inference(rewrite,[status(thm)],[])).
% 76.42/48.30 tff(5705,plain,
% 76.42/48.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))),
% 76.42/48.30 inference(quant_inst,[status(thm)],[])).
% 76.42/48.30 tff(5706,plain,
% 76.42/48.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2)),
% 76.42/48.30 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 76.42/48.30 tff(5707,plain,
% 76.42/48.30 (v130(constB47, bitIndex2)),
% 76.42/48.30 inference(unit_resolution,[status(thm)],[5706, 2050, 5645])).
% 76.42/48.30 tff(5708,plain,
% 76.42/48.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 76.42/48.30 inference(rewrite,[status(thm)],[])).
% 76.42/48.30 tff(5709,plain,
% 76.42/48.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 76.42/48.30 inference(quant_inst,[status(thm)],[])).
% 76.42/48.30 tff(5710,plain,
% 76.42/48.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 76.42/48.30 inference(modus_ponens,[status(thm)],[5709, 5708])).
% 76.42/48.30 tff(5711,plain,
% 76.42/48.30 ((~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 76.42/48.30 inference(unit_resolution,[status(thm)],[5710, 1431, 5657])).
% 76.42/48.30 tff(5712,plain,
% 76.42/48.30 (v127(constB47, bitIndex2)),
% 76.42/48.30 inference(unit_resolution,[status(thm)],[5711, 5707])).
% 76.42/48.30 tff(5713,plain,
% 76.42/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 76.42/48.30 inference(rewrite,[status(thm)],[])).
% 76.42/48.30 tff(5714,plain,
% 76.42/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 76.42/48.30 inference(quant_inst,[status(thm)],[])).
% 76.42/48.30 tff(5715,plain,
% 76.42/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 76.42/48.30 inference(modus_ponens,[status(thm)],[5714, 5713])).
% 76.42/48.30 tff(5716,plain,
% 76.42/48.30 ((~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 76.42/48.30 inference(unit_resolution,[status(thm)],[5715, 1449, 5669])).
% 76.42/48.30 tff(5717,plain,
% 76.42/48.30 (v129(constB48, bitIndex2)),
% 76.42/48.30 inference(unit_resolution,[status(thm)],[5716, 5712])).
% 76.42/48.30 tff(5718,plain,
% 76.42/48.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 76.42/48.30 inference(rewrite,[status(thm)],[])).
% 76.42/48.30 tff(5719,plain,
% 76.42/48.30 ((v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 76.42/48.30 inference(rewrite,[status(thm)],[])).
% 76.42/48.30 tff(5720,plain,
% 76.42/48.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))))),
% 76.42/48.30 inference(monotonicity,[status(thm)],[5719])).
% 76.42/48.30 tff(5721,plain,
% 76.50/48.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 76.50/48.30 inference(transitivity,[status(thm)],[5720, 5718])).
% 76.50/48.30 tff(5722,plain,
% 76.50/48.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5723,plain,
% 76.50/48.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 76.50/48.30 tff(5724,plain,
% 76.50/48.30 (v90(constB48, bitIndex2) | (~v100(constB48))),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5723, 1539, 5717])).
% 76.50/48.30 tff(5725,plain,
% 76.50/48.30 (v90(constB48, bitIndex2)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5724, 5703])).
% 76.50/48.30 tff(5726,plain,
% 76.50/48.30 ((~v1(constB49)) <=> (~v1(constB49))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5727,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 76.50/48.30 tff(5728,plain,
% 76.50/48.30 (~v1(constB49)),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 76.50/48.30 tff(5729,plain,
% 76.50/48.30 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5730,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 76.50/48.30 tff(5731,plain,
% 76.50/48.30 (nextState(constB48, constB49)),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5730, 5729])).
% 76.50/48.30 tff(5732,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5733,plain,
% 76.50/48.30 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5734,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 76.50/48.30 inference(monotonicity,[status(thm)],[5733])).
% 76.50/48.30 tff(5735,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 76.50/48.30 inference(transitivity,[status(thm)],[5734, 5732])).
% 76.50/48.30 tff(5736,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5737,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 76.50/48.30 tff(5738,plain,
% 76.50/48.30 (~v101(constB49)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5737, 307, 5731, 5728])).
% 76.50/48.30 tff(5739,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5740,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5741,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 76.50/48.30 tff(5742,plain,
% 76.50/48.30 (v101(constB49) | (~v100(constB49))),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5741, 324, 5731])).
% 76.50/48.30 tff(5743,plain,
% 76.50/48.30 (~v100(constB49)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5742, 5738])).
% 76.50/48.30 tff(5744,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5745,plain,
% 76.50/48.30 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5746,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)))),
% 76.50/48.30 inference(monotonicity,[status(thm)],[5745])).
% 76.50/48.30 tff(5747,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 76.50/48.30 inference(transitivity,[status(thm)],[5746, 5744])).
% 76.50/48.30 tff(5748,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5749,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 76.50/48.30 tff(5750,plain,
% 76.50/48.30 ((~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5749, 1575, 5731])).
% 76.50/48.30 tff(5751,plain,
% 76.50/48.30 ((~v90(constB48, bitIndex2)) | v90(constB49, bitIndex2)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5750, 5743])).
% 76.50/48.30 tff(5752,plain,
% 76.50/48.30 (v90(constB49, bitIndex2)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5751, 5725])).
% 76.50/48.30 tff(5753,plain,
% 76.50/48.30 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5754,plain,
% 76.50/48.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5755,plain,
% 76.50/48.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1)),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 76.50/48.30 tff(5756,plain,
% 76.50/48.30 (v130(constB47, bitIndex1)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5755, 1936, 5645])).
% 76.50/48.30 tff(5757,plain,
% 76.50/48.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5758,plain,
% 76.50/48.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5759,plain,
% 76.50/48.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 76.50/48.30 tff(5760,plain,
% 76.50/48.30 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5759, 1031, 5657])).
% 76.50/48.30 tff(5761,plain,
% 76.50/48.30 (v127(constB47, bitIndex1)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5760, 5756])).
% 76.50/48.30 tff(5762,plain,
% 76.50/48.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5763,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 76.50/48.30 inference(quant_inst,[status(thm)],[])).
% 76.50/48.30 tff(5764,plain,
% 76.50/48.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 76.50/48.30 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 76.50/48.30 tff(5765,plain,
% 76.50/48.30 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5764, 1046, 5669])).
% 76.50/48.30 tff(5766,plain,
% 76.50/48.30 (v129(constB48, bitIndex1)),
% 76.50/48.30 inference(unit_resolution,[status(thm)],[5765, 5761])).
% 76.50/48.30 tff(5767,plain,
% 76.50/48.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5768,plain,
% 76.50/48.30 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 76.50/48.30 inference(rewrite,[status(thm)],[])).
% 76.50/48.30 tff(5769,plain,
% 76.50/48.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 76.50/48.31 inference(monotonicity,[status(thm)],[5768])).
% 76.50/48.31 tff(5770,plain,
% 76.50/48.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 76.50/48.31 inference(transitivity,[status(thm)],[5769, 5767])).
% 76.50/48.31 tff(5771,plain,
% 76.50/48.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 76.50/48.31 inference(quant_inst,[status(thm)],[])).
% 76.50/48.31 tff(5772,plain,
% 76.50/48.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 76.50/48.31 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 76.50/48.31 tff(5773,plain,
% 76.50/48.31 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5772, 1061, 5766])).
% 76.50/48.31 tff(5774,plain,
% 76.50/48.31 (v90(constB48, bitIndex1)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5773, 5703])).
% 76.50/48.31 tff(5775,plain,
% 76.50/48.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5776,plain,
% 76.50/48.31 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5777,plain,
% 76.50/48.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 76.50/48.31 inference(monotonicity,[status(thm)],[5776])).
% 76.50/48.31 tff(5778,plain,
% 76.50/48.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 76.50/48.31 inference(transitivity,[status(thm)],[5777, 5775])).
% 76.50/48.31 tff(5779,plain,
% 76.50/48.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 76.50/48.31 inference(quant_inst,[status(thm)],[])).
% 76.50/48.31 tff(5780,plain,
% 76.50/48.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 76.50/48.31 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 76.50/48.31 tff(5781,plain,
% 76.50/48.31 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5780, 1079, 5731])).
% 76.50/48.31 tff(5782,plain,
% 76.50/48.31 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5781, 5743])).
% 76.50/48.31 tff(5783,plain,
% 76.50/48.31 (v90(constB49, bitIndex1)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5782, 5774])).
% 76.50/48.31 tff(5784,plain,
% 76.50/48.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5785,plain,
% 76.50/48.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 76.50/48.31 inference(quant_inst,[status(thm)],[])).
% 76.50/48.31 tff(5786,plain,
% 76.50/48.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0))),
% 76.50/48.31 inference(modus_ponens,[status(thm)],[5785, 5784])).
% 76.50/48.31 tff(5787,plain,
% 76.50/48.31 (~v130(constB47, bitIndex0)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5786, 2112, 5645])).
% 76.50/48.31 tff(5788,plain,
% 76.50/48.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5789,plain,
% 76.50/48.31 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5790,plain,
% 76.50/48.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 76.50/48.31 inference(monotonicity,[status(thm)],[5789])).
% 76.50/48.31 tff(5791,plain,
% 76.50/48.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 76.50/48.31 inference(transitivity,[status(thm)],[5790, 5788])).
% 76.50/48.31 tff(5792,plain,
% 76.50/48.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 76.50/48.31 inference(quant_inst,[status(thm)],[])).
% 76.50/48.31 tff(5793,plain,
% 76.50/48.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 76.50/48.31 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 76.50/48.31 tff(5794,plain,
% 76.50/48.31 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5793, 1112, 5657])).
% 76.50/48.31 tff(5795,plain,
% 76.50/48.31 (~v127(constB47, bitIndex0)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5794, 5787])).
% 76.50/48.31 tff(5796,plain,
% 76.50/48.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5797,plain,
% 76.50/48.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 76.50/48.31 inference(quant_inst,[status(thm)],[])).
% 76.50/48.31 tff(5798,plain,
% 76.50/48.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 76.50/48.31 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 76.50/48.31 tff(5799,plain,
% 76.50/48.31 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5798, 1130, 5669])).
% 76.50/48.31 tff(5800,plain,
% 76.50/48.31 (~v129(constB48, bitIndex0)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5799, 5795])).
% 76.50/48.31 tff(5801,plain,
% 76.50/48.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5802,plain,
% 76.50/48.31 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5803,plain,
% 76.50/48.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 76.50/48.31 inference(monotonicity,[status(thm)],[5802])).
% 76.50/48.31 tff(5804,plain,
% 76.50/48.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 76.50/48.31 inference(transitivity,[status(thm)],[5803, 5801])).
% 76.50/48.31 tff(5805,plain,
% 76.50/48.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 76.50/48.31 inference(quant_inst,[status(thm)],[])).
% 76.50/48.31 tff(5806,plain,
% 76.50/48.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 76.50/48.31 inference(modus_ponens,[status(thm)],[5805, 5804])).
% 76.50/48.31 tff(5807,plain,
% 76.50/48.31 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5806, 1145, 5800])).
% 76.50/48.31 tff(5808,plain,
% 76.50/48.31 (~v90(constB48, bitIndex0)),
% 76.50/48.31 inference(unit_resolution,[status(thm)],[5807, 5703])).
% 76.50/48.31 tff(5809,plain,
% 76.50/48.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5810,plain,
% 76.50/48.31 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 76.50/48.31 inference(rewrite,[status(thm)],[])).
% 76.50/48.31 tff(5811,plain,
% 76.50/48.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 76.50/48.32 inference(monotonicity,[status(thm)],[5810])).
% 76.50/48.32 tff(5812,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 76.50/48.32 inference(transitivity,[status(thm)],[5811, 5809])).
% 76.50/48.32 tff(5813,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5814,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5813, 5812])).
% 76.50/48.32 tff(5815,plain,
% 76.50/48.32 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5814, 381, 5731])).
% 76.50/48.32 tff(5816,plain,
% 76.50/48.32 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5815, 5743])).
% 76.50/48.32 tff(5817,plain,
% 76.50/48.32 (~v90(constB49, bitIndex0)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5816, 5808])).
% 76.50/48.32 tff(5818,plain,
% 76.50/48.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5819,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5820,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49)),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5819, 5818])).
% 76.50/48.32 tff(5821,plain,
% 76.50/48.32 (v125(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5820, 2156, 5817, 5783, 5752])).
% 76.50/48.32 tff(5822,plain,
% 76.50/48.32 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5823,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5824,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 76.50/48.32 tff(5825,plain,
% 76.50/48.32 (v113(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5824, 2167, 5821])).
% 76.50/48.32 tff(5826,assumption,(v26(constB49)), introduced(assumption)).
% 76.50/48.32 tff(5827,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5828,plain,
% 76.50/48.32 ($false),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5827, 14, 5826])).
% 76.50/48.32 tff(5829,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 76.50/48.32 tff(5830,plain,
% 76.50/48.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5831,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5832,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49)),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5831, 5830])).
% 76.50/48.32 tff(5833,plain,
% 76.50/48.32 ((~v113(constB49)) | v112(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5832, 555, 5829])).
% 76.50/48.32 tff(5834,plain,
% 76.50/48.32 (v112(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5833, 5825])).
% 76.50/48.32 tff(5835,plain,
% 76.50/48.32 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5836,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5837,plain,
% 76.50/48.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 76.50/48.32 tff(5838,plain,
% 76.50/48.32 (v108(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5837, 464, 5834])).
% 76.50/48.32 tff(5839,plain,
% 76.50/48.32 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5840,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 76.50/48.32 tff(5841,plain,
% 76.50/48.32 (nextState(constB49, constB50)),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5840, 5839])).
% 76.50/48.32 tff(5842,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5843,plain,
% 76.50/48.32 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5844,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 76.50/48.32 inference(monotonicity,[status(thm)],[5843])).
% 76.50/48.32 tff(5845,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 76.50/48.32 inference(transitivity,[status(thm)],[5844, 5842])).
% 76.50/48.32 tff(5846,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5847,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5846, 5845])).
% 76.50/48.32 tff(5848,plain,
% 76.50/48.32 (v110(constB50) | (~v108(constB49))),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5847, 571, 5841])).
% 76.50/48.32 tff(5849,plain,
% 76.50/48.32 (v110(constB50)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5848, 5838])).
% 76.50/48.32 tff(5850,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5851,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5852,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 76.50/48.32 tff(5853,plain,
% 76.50/48.32 (~v104(constB50)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5852, 589, 5841, 5728])).
% 76.50/48.32 tff(5854,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5855,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5856,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 76.50/48.32 tff(5857,plain,
% 76.50/48.32 (v102(constB50) | v104(constB50)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5856, 603, 5841])).
% 76.50/48.32 tff(5858,plain,
% 76.50/48.32 (v102(constB50)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5857, 5853])).
% 76.50/48.32 tff(5859,plain,
% 76.50/48.32 (v1(constB50) <=> v1(constB50)),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5860,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 76.50/48.32 tff(5861,plain,
% 76.50/48.32 (v1(constB50)),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 76.50/48.32 tff(5862,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5863,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5864,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 76.50/48.32 tff(5865,plain,
% 76.50/48.32 (v101(constB50) | (~v102(constB50))),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5864, 621, 5841, 5861])).
% 76.50/48.32 tff(5866,plain,
% 76.50/48.32 (v101(constB50)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5865, 5858])).
% 76.50/48.32 tff(5867,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5868,plain,
% 76.50/48.32 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5869,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 76.50/48.32 inference(monotonicity,[status(thm)],[5868])).
% 76.50/48.32 tff(5870,plain,
% 76.50/48.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 76.50/48.32 inference(transitivity,[status(thm)],[5869, 5867])).
% 76.50/48.32 tff(5871,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5872,plain,
% 76.50/48.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 76.50/48.32 tff(5873,plain,
% 76.50/48.32 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5872, 636, 5841])).
% 76.50/48.32 tff(5874,plain,
% 76.50/48.32 (v100(constB50) | (~v110(constB50))),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5873, 5866])).
% 76.50/48.32 tff(5875,plain,
% 76.50/48.32 (v100(constB50)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5874, 5849])).
% 76.50/48.32 tff(5876,plain,
% 76.50/48.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5877,plain,
% 76.50/48.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5878,plain,
% 76.50/48.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5877, 5876])).
% 76.50/48.32 tff(5879,plain,
% 76.50/48.32 (~v121(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5878, 2218, 5752])).
% 76.50/48.32 tff(5880,plain,
% 76.50/48.32 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 76.50/48.32 inference(rewrite,[status(thm)],[])).
% 76.50/48.32 tff(5881,plain,
% 76.50/48.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 76.50/48.32 inference(quant_inst,[status(thm)],[])).
% 76.50/48.32 tff(5882,plain,
% 76.50/48.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1))),
% 76.50/48.32 inference(modus_ponens,[status(thm)],[5881, 5880])).
% 76.50/48.32 tff(5883,plain,
% 76.50/48.32 (~v119(constB49)),
% 76.50/48.32 inference(unit_resolution,[status(thm)],[5882, 2243, 5783])).
% 76.50/48.32 tff(5884,plain,
% 76.50/48.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5885,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5886,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5885, 5884])).
% 76.50/48.33 tff(5887,plain,
% 76.50/48.33 (~v122(constB49)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5886, 2229, 5752])).
% 76.50/48.33 tff(5888,plain,
% 76.50/48.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5889,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5890,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 76.50/48.33 tff(5891,plain,
% 76.50/48.33 (~v124(constB49)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5890, 2276, 5783])).
% 76.50/48.33 tff(5892,plain,
% 76.50/48.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5893,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5894,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5893, 5892])).
% 76.50/48.33 tff(5895,plain,
% 76.50/48.33 (~v123(constB49)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5894, 2265, 5783])).
% 76.50/48.33 tff(5896,plain,
% 76.50/48.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5897,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5898,plain,
% 76.50/48.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5897, 5896])).
% 76.50/48.33 tff(5899,plain,
% 76.50/48.33 (~v120(constB49)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5898, 2254, 5783])).
% 76.50/48.33 tff(5900,plain,
% 76.50/48.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | v130(constB49, bitIndex0))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5901,plain,
% 76.50/48.33 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0)) <=> (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | v130(constB49, bitIndex0))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5902,plain,
% 76.50/48.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | v130(constB49, bitIndex0)))),
% 76.50/48.33 inference(monotonicity,[status(thm)],[5901])).
% 76.50/48.33 tff(5903,plain,
% 76.50/48.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | v130(constB49, bitIndex0))),
% 76.50/48.33 inference(transitivity,[status(thm)],[5902, 5900])).
% 76.50/48.33 tff(5904,plain,
% 76.50/48.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5905,plain,
% 76.50/48.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | v130(constB49, bitIndex0)),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 76.50/48.33 tff(5906,plain,
% 76.50/48.33 (v130(constB49, bitIndex0)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5905, 2402, 5899, 5895, 5891, 5887, 5883, 5879])).
% 76.50/48.33 tff(5907,plain,
% 76.50/48.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5908,plain,
% 76.50/48.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5909,plain,
% 76.50/48.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 76.50/48.33 tff(5910,plain,
% 76.50/48.33 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5909, 788, 5829])).
% 76.50/48.33 tff(5911,plain,
% 76.50/48.33 (v127(constB49, bitIndex0)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5910, 5906])).
% 76.50/48.33 tff(5912,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5913,plain,
% 76.50/48.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5914,plain,
% 76.50/48.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5913, 5912])).
% 76.50/48.33 tff(5915,plain,
% 76.50/48.33 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5914, 803, 5841])).
% 76.50/48.33 tff(5916,plain,
% 76.50/48.33 (v129(constB50, bitIndex0)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5915, 5911])).
% 76.50/48.33 tff(5917,plain,
% 76.50/48.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5918,plain,
% 76.50/48.33 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5919,plain,
% 76.50/48.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 76.50/48.33 inference(monotonicity,[status(thm)],[5918])).
% 76.50/48.33 tff(5920,plain,
% 76.50/48.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 76.50/48.33 inference(transitivity,[status(thm)],[5919, 5917])).
% 76.50/48.33 tff(5921,plain,
% 76.50/48.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5922,plain,
% 76.50/48.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 76.50/48.33 tff(5923,plain,
% 76.50/48.33 (v90(constB50, bitIndex0) | (~v100(constB50))),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5922, 818, 5916])).
% 76.50/48.33 tff(5924,plain,
% 76.50/48.33 (v90(constB50, bitIndex0)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5923, 5875])).
% 76.50/48.33 tff(5925,plain,
% 76.50/48.33 ((~v1(constB51)) <=> (~v1(constB51))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5926,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 76.50/48.33 tff(5927,plain,
% 76.50/48.33 (~v1(constB51)),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5926, 5925])).
% 76.50/48.33 tff(5928,plain,
% 76.50/48.33 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5929,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 76.50/48.33 tff(5930,plain,
% 76.50/48.33 (nextState(constB50, constB51)),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 76.50/48.33 tff(5931,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5932,plain,
% 76.50/48.33 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5933,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 76.50/48.33 inference(monotonicity,[status(thm)],[5932])).
% 76.50/48.33 tff(5934,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 76.50/48.33 inference(transitivity,[status(thm)],[5933, 5931])).
% 76.50/48.33 tff(5935,plain,
% 76.50/48.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5936,plain,
% 76.50/48.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 76.50/48.33 tff(5937,plain,
% 76.50/48.33 (~v101(constB51)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5936, 307, 5930, 5927])).
% 76.50/48.33 tff(5938,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5939,plain,
% 76.50/48.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 76.50/48.33 inference(quant_inst,[status(thm)],[])).
% 76.50/48.33 tff(5940,plain,
% 76.50/48.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 76.50/48.33 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 76.50/48.33 tff(5941,plain,
% 76.50/48.33 (v101(constB51) | (~v100(constB51))),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5940, 324, 5930])).
% 76.50/48.33 tff(5942,plain,
% 76.50/48.33 (~v100(constB51)),
% 76.50/48.33 inference(unit_resolution,[status(thm)],[5941, 5937])).
% 76.50/48.33 tff(5943,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5944,plain,
% 76.50/48.33 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 76.50/48.33 inference(rewrite,[status(thm)],[])).
% 76.50/48.33 tff(5945,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 76.50/48.33 inference(monotonicity,[status(thm)],[5944])).
% 76.50/48.33 tff(5946,plain,
% 76.50/48.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 76.50/48.34 inference(transitivity,[status(thm)],[5945, 5943])).
% 76.50/48.34 tff(5947,plain,
% 76.50/48.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 76.50/48.34 inference(quant_inst,[status(thm)],[])).
% 76.50/48.34 tff(5948,plain,
% 76.50/48.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 76.50/48.34 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 76.50/48.34 tff(5949,plain,
% 76.50/48.34 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5948, 836, 5930])).
% 76.50/48.34 tff(5950,plain,
% 76.50/48.34 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5949, 5942])).
% 76.50/48.34 tff(5951,plain,
% 76.50/48.34 (v90(constB51, bitIndex0)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5950, 5924])).
% 76.50/48.34 tff(5952,plain,
% 76.50/48.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex2)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5953,plain,
% 76.50/48.34 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2))) <=> (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex2)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5954,plain,
% 76.50/48.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex2))))),
% 76.50/48.34 inference(monotonicity,[status(thm)],[5953])).
% 76.50/48.34 tff(5955,plain,
% 76.50/48.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex2)))),
% 76.50/48.34 inference(transitivity,[status(thm)],[5954, 5952])).
% 76.50/48.34 tff(5956,plain,
% 76.50/48.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 76.50/48.34 inference(quant_inst,[status(thm)],[])).
% 76.50/48.34 tff(5957,plain,
% 76.50/48.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex2))),
% 76.50/48.34 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 76.50/48.34 tff(5958,plain,
% 76.50/48.34 (~v130(constB49, bitIndex2)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5957, 2290, 5899, 5895, 5891, 5887, 5883, 5879])).
% 76.50/48.34 tff(5959,plain,
% 76.50/48.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5960,plain,
% 76.50/48.34 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5961,plain,
% 76.50/48.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 76.50/48.34 inference(monotonicity,[status(thm)],[5960])).
% 76.50/48.34 tff(5962,plain,
% 76.50/48.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 76.50/48.34 inference(transitivity,[status(thm)],[5961, 5959])).
% 76.50/48.34 tff(5963,plain,
% 76.50/48.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 76.50/48.34 inference(quant_inst,[status(thm)],[])).
% 76.50/48.34 tff(5964,plain,
% 76.50/48.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 76.50/48.34 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 76.50/48.34 tff(5965,plain,
% 76.50/48.34 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5964, 430, 5829])).
% 76.50/48.34 tff(5966,plain,
% 76.50/48.34 (~v127(constB49, bitIndex2)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5965, 5958])).
% 76.50/48.34 tff(5967,plain,
% 76.50/48.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5968,plain,
% 76.50/48.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 76.50/48.34 inference(quant_inst,[status(thm)],[])).
% 76.50/48.34 tff(5969,plain,
% 76.50/48.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 76.50/48.34 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 76.50/48.34 tff(5970,plain,
% 76.50/48.34 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5969, 451, 5841])).
% 76.50/48.34 tff(5971,plain,
% 76.50/48.34 (~v129(constB50, bitIndex2)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5970, 5966])).
% 76.50/48.34 tff(5972,plain,
% 76.50/48.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5973,plain,
% 76.50/48.34 (((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5974,plain,
% 76.50/48.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))))),
% 76.50/48.34 inference(monotonicity,[status(thm)],[5973])).
% 76.50/48.34 tff(5975,plain,
% 76.50/48.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 76.50/48.34 inference(transitivity,[status(thm)],[5974, 5972])).
% 76.50/48.34 tff(5976,plain,
% 76.50/48.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))),
% 76.50/48.34 inference(quant_inst,[status(thm)],[])).
% 76.50/48.34 tff(5977,plain,
% 76.50/48.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 76.50/48.34 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 76.50/48.34 tff(5978,plain,
% 76.50/48.34 ((~v90(constB50, bitIndex2)) | (~v100(constB50))),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5977, 655, 5971])).
% 76.50/48.34 tff(5979,plain,
% 76.50/48.34 (~v90(constB50, bitIndex2)),
% 76.50/48.34 inference(unit_resolution,[status(thm)],[5978, 5875])).
% 76.50/48.34 tff(5980,plain,
% 76.50/48.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5981,plain,
% 76.50/48.34 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 76.50/48.34 inference(rewrite,[status(thm)],[])).
% 76.50/48.34 tff(5982,plain,
% 76.50/48.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 76.50/48.34 inference(monotonicity,[status(thm)],[5981])).
% 76.50/48.34 tff(5983,plain,
% 76.50/48.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 76.50/48.35 inference(transitivity,[status(thm)],[5982, 5980])).
% 76.50/48.35 tff(5984,plain,
% 76.50/48.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(5985,plain,
% 76.50/48.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 76.50/48.35 tff(5986,plain,
% 76.50/48.35 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[5985, 339, 5930])).
% 76.50/48.35 tff(5987,plain,
% 76.50/48.35 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[5986, 5942])).
% 76.50/48.35 tff(5988,plain,
% 76.50/48.35 (~v90(constB51, bitIndex2)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[5987, 5979])).
% 76.50/48.35 tff(5989,plain,
% 76.50/48.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex1)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(5990,plain,
% 76.50/48.35 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))) <=> (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex1)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(5991,plain,
% 76.50/48.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex1))))),
% 76.50/48.35 inference(monotonicity,[status(thm)],[5990])).
% 76.50/48.35 tff(5992,plain,
% 76.50/48.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex1)))),
% 76.50/48.35 inference(transitivity,[status(thm)],[5991, 5989])).
% 76.50/48.35 tff(5993,plain,
% 76.50/48.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(5994,plain,
% 76.50/48.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB49) | v124(constB49) | v120(constB49) | v122(constB49) | v119(constB49) | v121(constB49) | (~v130(constB49, bitIndex1))),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 76.50/48.35 tff(5995,plain,
% 76.50/48.35 (~v130(constB49, bitIndex1)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[5994, 2355, 5899, 5895, 5891, 5887, 5883, 5879])).
% 76.50/48.35 tff(5996,plain,
% 76.50/48.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(5997,plain,
% 76.50/48.35 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(5998,plain,
% 76.50/48.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 76.50/48.35 inference(monotonicity,[status(thm)],[5997])).
% 76.50/48.35 tff(5999,plain,
% 76.50/48.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 76.50/48.35 inference(transitivity,[status(thm)],[5998, 5996])).
% 76.50/48.35 tff(6000,plain,
% 76.50/48.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(6001,plain,
% 76.50/48.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 76.50/48.35 tff(6002,plain,
% 76.50/48.35 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6001, 714, 5829])).
% 76.50/48.35 tff(6003,plain,
% 76.50/48.35 (~v127(constB49, bitIndex1)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6002, 5995])).
% 76.50/48.35 tff(6004,plain,
% 76.50/48.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6005,plain,
% 76.50/48.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(6006,plain,
% 76.50/48.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 76.50/48.35 tff(6007,plain,
% 76.50/48.35 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6006, 732, 5841])).
% 76.50/48.35 tff(6008,plain,
% 76.50/48.35 (~v129(constB50, bitIndex1)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6007, 6003])).
% 76.50/48.35 tff(6009,plain,
% 76.50/48.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6010,plain,
% 76.50/48.35 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6011,plain,
% 76.50/48.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))))),
% 76.50/48.35 inference(monotonicity,[status(thm)],[6010])).
% 76.50/48.35 tff(6012,plain,
% 76.50/48.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 76.50/48.35 inference(transitivity,[status(thm)],[6011, 6009])).
% 76.50/48.35 tff(6013,plain,
% 76.50/48.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(6014,plain,
% 76.50/48.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 76.50/48.35 tff(6015,plain,
% 76.50/48.35 ((~v90(constB50, bitIndex1)) | (~v100(constB50))),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6014, 747, 6008])).
% 76.50/48.35 tff(6016,plain,
% 76.50/48.35 (~v90(constB50, bitIndex1)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6015, 5875])).
% 76.50/48.35 tff(6017,plain,
% 76.50/48.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6018,plain,
% 76.50/48.35 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6019,plain,
% 76.50/48.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))))),
% 76.50/48.35 inference(monotonicity,[status(thm)],[6018])).
% 76.50/48.35 tff(6020,plain,
% 76.50/48.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 76.50/48.35 inference(transitivity,[status(thm)],[6019, 6017])).
% 76.50/48.35 tff(6021,plain,
% 76.50/48.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(6022,plain,
% 76.50/48.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 76.50/48.35 tff(6023,plain,
% 76.50/48.35 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6022, 360, 5930])).
% 76.50/48.35 tff(6024,plain,
% 76.50/48.35 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6023, 5942])).
% 76.50/48.35 tff(6025,plain,
% 76.50/48.35 (~v90(constB51, bitIndex1)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6024, 6016])).
% 76.50/48.35 tff(6026,plain,
% 76.50/48.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6027,plain,
% 76.50/48.35 (((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2)) <=> ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6028,plain,
% 76.50/48.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)))),
% 76.50/48.35 inference(monotonicity,[status(thm)],[6027])).
% 76.50/48.35 tff(6029,plain,
% 76.50/48.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 76.50/48.35 inference(transitivity,[status(thm)],[6028, 6026])).
% 76.50/48.35 tff(6030,plain,
% 76.50/48.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(6031,plain,
% 76.50/48.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 76.50/48.35 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 76.50/48.35 tff(6032,plain,
% 76.50/48.35 (v120(constB51)),
% 76.50/48.35 inference(unit_resolution,[status(thm)],[6031, 855, 5951, 6025, 5988])).
% 76.50/48.35 tff(6033,plain,
% 76.50/48.35 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 76.50/48.35 inference(rewrite,[status(thm)],[])).
% 76.50/48.35 tff(6034,plain,
% 76.50/48.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 76.50/48.35 inference(quant_inst,[status(thm)],[])).
% 76.50/48.35 tff(6035,plain,
% 76.50/48.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 76.50/48.36 tff(6036,plain,
% 76.50/48.36 (~v130(constB51, bitIndex0)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6035, 1098, 6032])).
% 76.50/48.36 tff(6037,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6038,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6039,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 76.50/48.36 tff(6040,plain,
% 76.50/48.36 (v118(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6039, 908, 6032])).
% 76.50/48.36 tff(6041,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6042,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6043,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 76.50/48.36 tff(6044,plain,
% 76.50/48.36 (v117(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6043, 497, 6040])).
% 76.50/48.36 tff(6045,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6046,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6047,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 76.50/48.36 tff(6048,plain,
% 76.50/48.36 (v116(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6047, 508, 6044])).
% 76.50/48.36 tff(6049,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6050,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6051,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 76.50/48.36 tff(6052,plain,
% 76.50/48.36 (v115(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6051, 519, 6048])).
% 76.50/48.36 tff(6053,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6054,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6055,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 76.50/48.36 tff(6056,plain,
% 76.50/48.36 (v114(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6055, 530, 6052])).
% 76.50/48.36 tff(6057,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6058,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6059,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 76.50/48.36 tff(6060,plain,
% 76.50/48.36 (v113(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6059, 541, 6056])).
% 76.50/48.36 tff(6061,assumption,(v26(constB51)), introduced(assumption)).
% 76.50/48.36 tff(6062,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6063,plain,
% 76.50/48.36 ($false),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6062, 14, 6061])).
% 76.50/48.36 tff(6064,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 76.50/48.36 tff(6065,assumption,(~v26(constB51)), introduced(assumption)).
% 76.50/48.36 tff(6066,assumption,(v113(constB51)), introduced(assumption)).
% 76.50/48.36 tff(6067,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6068,plain,
% 76.50/48.36 ((v26(constB51) | (~v113(constB51)) | v112(constB51)) <=> (v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6069,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51))))),
% 76.50/48.36 inference(monotonicity,[status(thm)],[6068])).
% 76.50/48.36 tff(6070,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 76.50/48.36 inference(transitivity,[status(thm)],[6069, 6067])).
% 76.50/48.36 tff(6071,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6072,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 76.50/48.36 tff(6073,plain,
% 76.50/48.36 (v26(constB51) | v112(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6072, 555, 6066])).
% 76.50/48.36 tff(6074,plain,
% 76.50/48.36 (v112(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6073, 6065])).
% 76.50/48.36 tff(6075,assumption,(~v130(constB51, bitIndex0)), introduced(assumption)).
% 76.50/48.36 tff(6076,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6077,plain,
% 76.50/48.36 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6078,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 76.50/48.36 inference(monotonicity,[status(thm)],[6077])).
% 76.50/48.36 tff(6079,plain,
% 76.50/48.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 76.50/48.36 inference(transitivity,[status(thm)],[6078, 6076])).
% 76.50/48.36 tff(6080,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6081,plain,
% 76.50/48.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6080, 6079])).
% 76.50/48.36 tff(6082,plain,
% 76.50/48.36 ((~v127(constB51, bitIndex0)) | v26(constB51)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6081, 1112, 6075])).
% 76.50/48.36 tff(6083,plain,
% 76.50/48.36 (~v127(constB51, bitIndex0)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6082, 6065])).
% 76.50/48.36 tff(6084,plain,
% 76.50/48.36 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6085,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 76.50/48.36 tff(6086,plain,
% 76.50/48.36 (nextState(constB51, constB52)),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 76.50/48.36 tff(6087,plain,
% 76.50/48.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6088,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6089,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 76.50/48.36 tff(6090,plain,
% 76.50/48.36 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6089, 1130, 6086])).
% 76.50/48.36 tff(6091,plain,
% 76.50/48.36 (~v129(constB52, bitIndex0)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6090, 6083])).
% 76.50/48.36 tff(6092,assumption,(v90(constB52, bitIndex0)), introduced(assumption)).
% 76.50/48.36 tff(6093,plain,
% 76.50/48.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6094,plain,
% 76.50/48.36 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6095,plain,
% 76.50/48.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 76.50/48.36 inference(monotonicity,[status(thm)],[6094])).
% 76.50/48.36 tff(6096,plain,
% 76.50/48.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 76.50/48.36 inference(transitivity,[status(thm)],[6095, 6093])).
% 76.50/48.36 tff(6097,plain,
% 76.50/48.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6098,plain,
% 76.50/48.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 76.50/48.36 tff(6099,plain,
% 76.50/48.36 (v129(constB52, bitIndex0) | (~v100(constB52))),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6098, 1145, 6092])).
% 76.50/48.36 tff(6100,plain,
% 76.50/48.36 (~v100(constB52)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6099, 6091])).
% 76.50/48.36 tff(6101,plain,
% 76.50/48.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6102,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6103,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6102, 6101])).
% 76.50/48.36 tff(6104,plain,
% 76.50/48.36 (~v104(constB52)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6103, 589, 6086, 5927])).
% 76.50/48.36 tff(6105,plain,
% 76.50/48.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6106,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6107,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 76.50/48.36 tff(6108,plain,
% 76.50/48.36 (v102(constB52) | v104(constB52)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6107, 603, 6086])).
% 76.50/48.36 tff(6109,plain,
% 76.50/48.36 (v102(constB52)),
% 76.50/48.36 inference(unit_resolution,[status(thm)],[6108, 6104])).
% 76.50/48.36 tff(6110,plain,
% 76.50/48.36 (v1(constB52) <=> v1(constB52)),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6111,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 76.50/48.36 tff(6112,plain,
% 76.50/48.36 (v1(constB52)),
% 76.50/48.36 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 76.50/48.36 tff(6113,plain,
% 76.50/48.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 76.50/48.36 inference(rewrite,[status(thm)],[])).
% 76.50/48.36 tff(6114,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 76.50/48.36 inference(quant_inst,[status(thm)],[])).
% 76.50/48.36 tff(6115,plain,
% 76.50/48.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6114, 6113])).
% 76.50/48.37 tff(6116,plain,
% 76.50/48.37 (v101(constB52) | (~v102(constB52))),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6115, 621, 6086, 6112])).
% 76.50/48.37 tff(6117,plain,
% 76.50/48.37 (v101(constB52)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6116, 6109])).
% 76.50/48.37 tff(6118,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6119,plain,
% 76.50/48.37 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6120,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 76.50/48.37 inference(monotonicity,[status(thm)],[6119])).
% 76.50/48.37 tff(6121,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 76.50/48.37 inference(transitivity,[status(thm)],[6120, 6118])).
% 76.50/48.37 tff(6122,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6123,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 76.50/48.37 tff(6124,plain,
% 76.50/48.37 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6123, 636, 6086])).
% 76.50/48.37 tff(6125,plain,
% 76.50/48.37 (v100(constB52) | (~v110(constB52))),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6124, 6117])).
% 76.50/48.37 tff(6126,plain,
% 76.50/48.37 (~v110(constB52)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6125, 6100])).
% 76.50/48.37 tff(6127,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6128,plain,
% 76.50/48.37 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6129,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 76.50/48.37 inference(monotonicity,[status(thm)],[6128])).
% 76.50/48.37 tff(6130,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 76.50/48.37 inference(transitivity,[status(thm)],[6129, 6127])).
% 76.50/48.37 tff(6131,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6132,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 76.50/48.37 tff(6133,plain,
% 76.50/48.37 (v110(constB52) | (~v108(constB51))),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6132, 571, 6086])).
% 76.50/48.37 tff(6134,plain,
% 76.50/48.37 (~v108(constB51)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6133, 6126])).
% 76.50/48.37 tff(6135,plain,
% 76.50/48.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6136,plain,
% 76.50/48.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6137,plain,
% 76.50/48.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6136, 6135])).
% 76.50/48.37 tff(6138,plain,
% 76.50/48.37 ($false),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6137, 464, 6134, 6074])).
% 76.50/48.37 tff(6139,plain,(v26(constB51) | (~v90(constB52, bitIndex0)) | (~v113(constB51)) | v130(constB51, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 76.50/48.37 tff(6140,plain,
% 76.50/48.37 ((~v90(constB52, bitIndex0)) | (~v113(constB51)) | v130(constB51, bitIndex0)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6139, 6064])).
% 76.50/48.37 tff(6141,plain,
% 76.50/48.37 (~v90(constB52, bitIndex0)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6140, 6060, 6036])).
% 76.50/48.37 tff(6142,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB51, bitIndex0)) | (~nextState(constB51, constB52)) | v100(constB52) | v90(constB52, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB51, bitIndex0)) | (~nextState(constB51, constB52)) | v100(constB52) | v90(constB52, bitIndex0))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6143,plain,
% 76.50/48.37 (((~nextState(constB51, constB52)) | (~v90(constB51, bitIndex0)) | v100(constB52) | v90(constB52, bitIndex0)) <=> ((~v90(constB51, bitIndex0)) | (~nextState(constB51, constB52)) | v100(constB52) | v90(constB52, bitIndex0))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6144,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB51, constB52)) | (~v90(constB51, bitIndex0)) | v100(constB52) | v90(constB52, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB51, bitIndex0)) | (~nextState(constB51, constB52)) | v100(constB52) | v90(constB52, bitIndex0)))),
% 76.50/48.37 inference(monotonicity,[status(thm)],[6143])).
% 76.50/48.37 tff(6145,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB51, constB52)) | (~v90(constB51, bitIndex0)) | v100(constB52) | v90(constB52, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB51, bitIndex0)) | (~nextState(constB51, constB52)) | v100(constB52) | v90(constB52, bitIndex0))),
% 76.50/48.37 inference(transitivity,[status(thm)],[6144, 6142])).
% 76.50/48.37 tff(6146,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB51, constB52)) | (~v90(constB51, bitIndex0)) | v100(constB52) | v90(constB52, bitIndex0))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6147,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB51, bitIndex0)) | (~nextState(constB51, constB52)) | v100(constB52) | v90(constB52, bitIndex0)),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 76.50/48.37 tff(6148,plain,
% 76.50/48.37 ((~v90(constB51, bitIndex0)) | v100(constB52) | v90(constB52, bitIndex0)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6147, 836, 6086])).
% 76.50/48.37 tff(6149,plain,
% 76.50/48.37 (v100(constB52)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6148, 6141, 5951])).
% 76.50/48.37 tff(6150,plain,
% 76.50/48.37 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6151,plain,
% 76.50/48.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6152,plain,
% 76.50/48.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 76.50/48.37 tff(6153,plain,
% 76.50/48.37 (~v130(constB51, bitIndex2)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6152, 872, 6032])).
% 76.50/48.37 tff(6154,plain,
% 76.50/48.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6155,plain,
% 76.50/48.37 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6156,plain,
% 76.50/48.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 76.50/48.37 inference(monotonicity,[status(thm)],[6155])).
% 76.50/48.37 tff(6157,plain,
% 76.50/48.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 76.50/48.37 inference(transitivity,[status(thm)],[6156, 6154])).
% 76.50/48.37 tff(6158,plain,
% 76.50/48.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6159,plain,
% 76.50/48.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 76.50/48.37 tff(6160,plain,
% 76.50/48.37 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6159, 430, 6064])).
% 76.50/48.37 tff(6161,plain,
% 76.50/48.37 (~v127(constB51, bitIndex2)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6160, 6153])).
% 76.50/48.37 tff(6162,plain,
% 76.50/48.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6163,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6164,plain,
% 76.50/48.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 76.50/48.37 tff(6165,plain,
% 76.50/48.37 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6164, 451, 6086])).
% 76.50/48.37 tff(6166,plain,
% 76.50/48.37 (~v129(constB52, bitIndex2)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6165, 6161])).
% 76.50/48.37 tff(6167,plain,
% 76.50/48.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6168,plain,
% 76.50/48.37 (((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6169,plain,
% 76.50/48.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))))),
% 76.50/48.37 inference(monotonicity,[status(thm)],[6168])).
% 76.50/48.37 tff(6170,plain,
% 76.50/48.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 76.50/48.37 inference(transitivity,[status(thm)],[6169, 6167])).
% 76.50/48.37 tff(6171,plain,
% 76.50/48.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))),
% 76.50/48.37 inference(quant_inst,[status(thm)],[])).
% 76.50/48.37 tff(6172,plain,
% 76.50/48.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 76.50/48.37 tff(6173,plain,
% 76.50/48.37 ((~v90(constB52, bitIndex2)) | (~v100(constB52))),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6172, 655, 6166])).
% 76.50/48.37 tff(6174,plain,
% 76.50/48.37 (~v90(constB52, bitIndex2)),
% 76.50/48.37 inference(unit_resolution,[status(thm)],[6173, 6149])).
% 76.50/48.37 tff(6175,plain,
% 76.50/48.37 ((~v1(constB53)) <=> (~v1(constB53))),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6176,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 76.50/48.37 tff(6177,plain,
% 76.50/48.37 (~v1(constB53)),
% 76.50/48.37 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 76.50/48.37 tff(6178,plain,
% 76.50/48.37 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 76.50/48.37 inference(rewrite,[status(thm)],[])).
% 76.50/48.37 tff(6179,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 76.58/48.38 tff(6180,plain,
% 76.58/48.38 (nextState(constB52, constB53)),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6179, 6178])).
% 76.58/48.38 tff(6181,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6182,plain,
% 76.58/48.38 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6183,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 76.58/48.38 inference(monotonicity,[status(thm)],[6182])).
% 76.58/48.38 tff(6184,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 76.58/48.38 inference(transitivity,[status(thm)],[6183, 6181])).
% 76.58/48.38 tff(6185,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6186,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6185, 6184])).
% 76.58/48.38 tff(6187,plain,
% 76.58/48.38 (~v101(constB53)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6186, 307, 6180, 6177])).
% 76.58/48.38 tff(6188,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6189,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6190,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6189, 6188])).
% 76.58/48.38 tff(6191,plain,
% 76.58/48.38 (v101(constB53) | (~v100(constB53))),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6190, 324, 6180])).
% 76.58/48.38 tff(6192,plain,
% 76.58/48.38 (~v100(constB53)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6191, 6187])).
% 76.58/48.38 tff(6193,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6194,plain,
% 76.58/48.38 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6195,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))))),
% 76.58/48.38 inference(monotonicity,[status(thm)],[6194])).
% 76.58/48.38 tff(6196,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 76.58/48.38 inference(transitivity,[status(thm)],[6195, 6193])).
% 76.58/48.38 tff(6197,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6198,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 76.58/48.38 tff(6199,plain,
% 76.58/48.38 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6198, 339, 6180])).
% 76.58/48.38 tff(6200,plain,
% 76.58/48.38 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6199, 6192])).
% 76.58/48.38 tff(6201,plain,
% 76.58/48.38 (~v90(constB53, bitIndex2)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6200, 6174])).
% 76.58/48.38 tff(6202,plain,
% 76.58/48.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6203,plain,
% 76.58/48.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6204,plain,
% 76.58/48.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1)),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 76.58/48.38 tff(6205,plain,
% 76.58/48.38 (v130(constB51, bitIndex1)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6204, 1017, 6032])).
% 76.58/48.38 tff(6206,plain,
% 76.58/48.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6207,plain,
% 76.58/48.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6208,plain,
% 76.58/48.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 76.58/48.38 tff(6209,plain,
% 76.58/48.38 ((~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6208, 1031, 6064])).
% 76.58/48.38 tff(6210,plain,
% 76.58/48.38 (v127(constB51, bitIndex1)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6209, 6205])).
% 76.58/48.38 tff(6211,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6212,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6213,plain,
% 76.58/48.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6212, 6211])).
% 76.58/48.38 tff(6214,plain,
% 76.58/48.38 ((~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6213, 1046, 6086])).
% 76.58/48.38 tff(6215,plain,
% 76.58/48.38 (v129(constB52, bitIndex1)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6214, 6210])).
% 76.58/48.38 tff(6216,plain,
% 76.58/48.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6217,plain,
% 76.58/48.38 ((v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 76.58/48.38 inference(rewrite,[status(thm)],[])).
% 76.58/48.38 tff(6218,plain,
% 76.58/48.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))))),
% 76.58/48.38 inference(monotonicity,[status(thm)],[6217])).
% 76.58/48.38 tff(6219,plain,
% 76.58/48.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 76.58/48.38 inference(transitivity,[status(thm)],[6218, 6216])).
% 76.58/48.38 tff(6220,plain,
% 76.58/48.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))),
% 76.58/48.38 inference(quant_inst,[status(thm)],[])).
% 76.58/48.38 tff(6221,plain,
% 76.58/48.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))),
% 76.58/48.38 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 76.58/48.38 tff(6222,plain,
% 76.58/48.38 (v90(constB52, bitIndex1) | (~v100(constB52))),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6221, 1061, 6215])).
% 76.58/48.38 tff(6223,plain,
% 76.58/48.38 (v90(constB52, bitIndex1)),
% 76.58/48.38 inference(unit_resolution,[status(thm)],[6222, 6149])).
% 76.58/48.38 tff(6224,plain,
% 76.58/48.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6225,plain,
% 76.58/48.39 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6226,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)))),
% 76.58/48.39 inference(monotonicity,[status(thm)],[6225])).
% 76.58/48.39 tff(6227,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 76.58/48.39 inference(transitivity,[status(thm)],[6226, 6224])).
% 76.58/48.39 tff(6228,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6229,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6228, 6227])).
% 76.58/48.39 tff(6230,plain,
% 76.58/48.39 ((~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6229, 1079, 6180])).
% 76.58/48.39 tff(6231,plain,
% 76.58/48.39 ((~v90(constB52, bitIndex1)) | v90(constB53, bitIndex1)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6230, 6192])).
% 76.58/48.39 tff(6232,plain,
% 76.58/48.39 (v90(constB53, bitIndex1)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6231, 6223])).
% 76.58/48.39 tff(6233,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6234,plain,
% 76.58/48.39 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6235,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 76.58/48.39 inference(monotonicity,[status(thm)],[6234])).
% 76.58/48.39 tff(6236,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 76.58/48.39 inference(transitivity,[status(thm)],[6235, 6233])).
% 76.58/48.39 tff(6237,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6238,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 76.58/48.39 tff(6239,plain,
% 76.58/48.39 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6238, 381, 6180])).
% 76.58/48.39 tff(6240,plain,
% 76.58/48.39 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6239, 6192])).
% 76.58/48.39 tff(6241,plain,
% 76.58/48.39 (~v90(constB53, bitIndex0)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6240, 6141])).
% 76.58/48.39 tff(6242,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6243,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6244,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53)),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6243, 6242])).
% 76.58/48.39 tff(6245,plain,
% 76.58/48.39 (v121(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6244, 1172, 6241, 6232, 6201])).
% 76.58/48.39 tff(6246,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6247,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6248,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 76.58/48.39 tff(6249,plain,
% 76.58/48.39 (v117(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6248, 1183, 6245])).
% 76.58/48.39 tff(6250,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6251,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6252,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6251, 6250])).
% 76.58/48.39 tff(6253,plain,
% 76.58/48.39 (v116(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6252, 508, 6249])).
% 76.58/48.39 tff(6254,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6255,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6256,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 76.58/48.39 tff(6257,plain,
% 76.58/48.39 (v115(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6256, 519, 6253])).
% 76.58/48.39 tff(6258,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6259,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6260,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6259, 6258])).
% 76.58/48.39 tff(6261,plain,
% 76.58/48.39 (v114(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6260, 530, 6257])).
% 76.58/48.39 tff(6262,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6263,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6264,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6263, 6262])).
% 76.58/48.39 tff(6265,plain,
% 76.58/48.39 (v113(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6264, 541, 6261])).
% 76.58/48.39 tff(6266,assumption,(v26(constB53)), introduced(assumption)).
% 76.58/48.39 tff(6267,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6268,plain,
% 76.58/48.39 ($false),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6267, 14, 6266])).
% 76.58/48.39 tff(6269,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 76.58/48.39 tff(6270,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6271,plain,
% 76.58/48.39 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6272,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 76.58/48.39 inference(monotonicity,[status(thm)],[6271])).
% 76.58/48.39 tff(6273,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 76.58/48.39 inference(transitivity,[status(thm)],[6272, 6270])).
% 76.58/48.39 tff(6274,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6275,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 76.58/48.39 tff(6276,plain,
% 76.58/48.39 (v112(constB53) | (~v113(constB53))),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6275, 555, 6269])).
% 76.58/48.39 tff(6277,plain,
% 76.58/48.39 (v112(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6276, 6265])).
% 76.58/48.39 tff(6278,plain,
% 76.58/48.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6279,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6280,plain,
% 76.58/48.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6279, 6278])).
% 76.58/48.39 tff(6281,plain,
% 76.58/48.39 (v108(constB53)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6280, 464, 6277])).
% 76.58/48.39 tff(6282,plain,
% 76.58/48.39 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6283,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 76.58/48.39 tff(6284,plain,
% 76.58/48.39 (nextState(constB53, constB54)),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 76.58/48.39 tff(6285,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6286,plain,
% 76.58/48.39 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6287,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 76.58/48.39 inference(monotonicity,[status(thm)],[6286])).
% 76.58/48.39 tff(6288,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 76.58/48.39 inference(transitivity,[status(thm)],[6287, 6285])).
% 76.58/48.39 tff(6289,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 76.58/48.39 inference(quant_inst,[status(thm)],[])).
% 76.58/48.39 tff(6290,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 76.58/48.39 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 76.58/48.39 tff(6291,plain,
% 76.58/48.39 (v110(constB54) | (~v108(constB53))),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6290, 571, 6284])).
% 76.58/48.39 tff(6292,plain,
% 76.58/48.39 (v110(constB54)),
% 76.58/48.39 inference(unit_resolution,[status(thm)],[6291, 6281])).
% 76.58/48.39 tff(6293,plain,
% 76.58/48.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 76.58/48.39 inference(rewrite,[status(thm)],[])).
% 76.58/48.39 tff(6294,plain,
% 76.58/48.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6295,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 76.58/48.40 tff(6296,plain,
% 76.58/48.40 (~v104(constB54)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6295, 589, 6284, 6177])).
% 76.58/48.40 tff(6297,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6298,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6299,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 76.58/48.40 tff(6300,plain,
% 76.58/48.40 (v102(constB54) | v104(constB54)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6299, 603, 6284])).
% 76.58/48.40 tff(6301,plain,
% 76.58/48.40 (v102(constB54)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6300, 6296])).
% 76.58/48.40 tff(6302,plain,
% 76.58/48.40 (v1(constB54) <=> v1(constB54)),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6303,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 76.58/48.40 tff(6304,plain,
% 76.58/48.40 (v1(constB54)),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 76.58/48.40 tff(6305,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6306,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6307,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6306, 6305])).
% 76.58/48.40 tff(6308,plain,
% 76.58/48.40 (v101(constB54) | (~v102(constB54))),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6307, 621, 6284, 6304])).
% 76.58/48.40 tff(6309,plain,
% 76.58/48.40 (v101(constB54)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6308, 6301])).
% 76.58/48.40 tff(6310,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6311,plain,
% 76.58/48.40 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6312,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 76.58/48.40 inference(monotonicity,[status(thm)],[6311])).
% 76.58/48.40 tff(6313,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 76.58/48.40 inference(transitivity,[status(thm)],[6312, 6310])).
% 76.58/48.40 tff(6314,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6315,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 76.58/48.40 tff(6316,plain,
% 76.58/48.40 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6315, 636, 6284])).
% 76.58/48.40 tff(6317,plain,
% 76.58/48.40 (v100(constB54) | (~v110(constB54))),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6316, 6309])).
% 76.58/48.40 tff(6318,plain,
% 76.58/48.40 (v100(constB54)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6317, 6292])).
% 76.58/48.40 tff(6319,plain,
% 76.58/48.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6320,plain,
% 76.58/48.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6321,plain,
% 76.58/48.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6320, 6319])).
% 76.58/48.40 tff(6322,plain,
% 76.58/48.40 (~v130(constB53, bitIndex2)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6321, 1259, 6245])).
% 76.58/48.40 tff(6323,plain,
% 76.58/48.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6324,plain,
% 76.58/48.40 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6325,plain,
% 76.58/48.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 76.58/48.40 inference(monotonicity,[status(thm)],[6324])).
% 76.58/48.40 tff(6326,plain,
% 76.58/48.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 76.58/48.40 inference(transitivity,[status(thm)],[6325, 6323])).
% 76.58/48.40 tff(6327,plain,
% 76.58/48.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6328,plain,
% 76.58/48.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 76.58/48.40 tff(6329,plain,
% 76.58/48.40 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6328, 430, 6269])).
% 76.58/48.40 tff(6330,plain,
% 76.58/48.40 (~v127(constB53, bitIndex2)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6329, 6322])).
% 76.58/48.40 tff(6331,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6332,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6333,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 76.58/48.40 tff(6334,plain,
% 76.58/48.40 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6333, 451, 6284])).
% 76.58/48.40 tff(6335,plain,
% 76.58/48.40 (~v129(constB54, bitIndex2)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6334, 6330])).
% 76.58/48.40 tff(6336,plain,
% 76.58/48.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6337,plain,
% 76.58/48.40 (((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6338,plain,
% 76.58/48.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))))),
% 76.58/48.40 inference(monotonicity,[status(thm)],[6337])).
% 76.58/48.40 tff(6339,plain,
% 76.58/48.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 76.58/48.40 inference(transitivity,[status(thm)],[6338, 6336])).
% 76.58/48.40 tff(6340,plain,
% 76.58/48.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6341,plain,
% 76.58/48.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 76.58/48.40 tff(6342,plain,
% 76.58/48.40 ((~v90(constB54, bitIndex2)) | (~v100(constB54))),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6341, 655, 6335])).
% 76.58/48.40 tff(6343,plain,
% 76.58/48.40 (~v90(constB54, bitIndex2)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6342, 6318])).
% 76.58/48.40 tff(6344,plain,
% 76.58/48.40 ((~v1(constB55)) <=> (~v1(constB55))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6345,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 76.58/48.40 tff(6346,plain,
% 76.58/48.40 (~v1(constB55)),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6345, 6344])).
% 76.58/48.40 tff(6347,plain,
% 76.58/48.40 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6348,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 76.58/48.40 tff(6349,plain,
% 76.58/48.40 (nextState(constB54, constB55)),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 76.58/48.40 tff(6350,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6351,plain,
% 76.58/48.40 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6352,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 76.58/48.40 inference(monotonicity,[status(thm)],[6351])).
% 76.58/48.40 tff(6353,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 76.58/48.40 inference(transitivity,[status(thm)],[6352, 6350])).
% 76.58/48.40 tff(6354,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6355,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 76.58/48.40 tff(6356,plain,
% 76.58/48.40 (~v101(constB55)),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6355, 307, 6349, 6346])).
% 76.58/48.40 tff(6357,plain,
% 76.58/48.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 76.58/48.40 inference(rewrite,[status(thm)],[])).
% 76.58/48.40 tff(6358,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 76.58/48.40 inference(quant_inst,[status(thm)],[])).
% 76.58/48.40 tff(6359,plain,
% 76.58/48.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 76.58/48.40 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 76.58/48.40 tff(6360,plain,
% 76.58/48.40 (v101(constB55) | (~v100(constB55))),
% 76.58/48.40 inference(unit_resolution,[status(thm)],[6359, 324, 6349])).
% 76.58/48.41 tff(6361,plain,
% 76.58/48.41 (~v100(constB55)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6360, 6356])).
% 76.58/48.41 tff(6362,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6363,plain,
% 76.58/48.41 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6364,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))))),
% 76.58/48.41 inference(monotonicity,[status(thm)],[6363])).
% 76.58/48.41 tff(6365,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 76.58/48.41 inference(transitivity,[status(thm)],[6364, 6362])).
% 76.58/48.41 tff(6366,plain,
% 76.58/48.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6367,plain,
% 76.58/48.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 76.58/48.41 inference(modus_ponens,[status(thm)],[6366, 6365])).
% 76.58/48.41 tff(6368,plain,
% 76.58/48.41 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6367, 339, 6349])).
% 76.58/48.41 tff(6369,plain,
% 76.58/48.41 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6368, 6361])).
% 76.58/48.41 tff(6370,plain,
% 76.58/48.41 (~v90(constB55, bitIndex2)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6369, 6343])).
% 76.58/48.41 tff(6371,plain,
% 76.58/48.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6372,plain,
% 76.58/48.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6373,plain,
% 76.58/48.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1)),
% 76.58/48.41 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 76.58/48.41 tff(6374,plain,
% 76.58/48.41 (v130(constB53, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6373, 1321, 6245])).
% 76.58/48.41 tff(6375,plain,
% 76.58/48.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6376,plain,
% 76.58/48.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6377,plain,
% 76.58/48.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 76.58/48.41 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 76.58/48.41 tff(6378,plain,
% 76.58/48.41 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6377, 1031, 6269])).
% 76.58/48.41 tff(6379,plain,
% 76.58/48.41 (v127(constB53, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6378, 6374])).
% 76.58/48.41 tff(6380,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6381,plain,
% 76.58/48.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6382,plain,
% 76.58/48.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 76.58/48.41 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 76.58/48.41 tff(6383,plain,
% 76.58/48.41 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6382, 1046, 6284])).
% 76.58/48.41 tff(6384,plain,
% 76.58/48.41 (v129(constB54, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6383, 6379])).
% 76.58/48.41 tff(6385,plain,
% 76.58/48.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6386,plain,
% 76.58/48.41 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6387,plain,
% 76.58/48.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 76.58/48.41 inference(monotonicity,[status(thm)],[6386])).
% 76.58/48.41 tff(6388,plain,
% 76.58/48.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 76.58/48.41 inference(transitivity,[status(thm)],[6387, 6385])).
% 76.58/48.41 tff(6389,plain,
% 76.58/48.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6390,plain,
% 76.58/48.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 76.58/48.41 inference(modus_ponens,[status(thm)],[6389, 6388])).
% 76.58/48.41 tff(6391,plain,
% 76.58/48.41 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6390, 1061, 6384])).
% 76.58/48.41 tff(6392,plain,
% 76.58/48.41 (v90(constB54, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6391, 6318])).
% 76.58/48.41 tff(6393,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6394,plain,
% 76.58/48.41 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6395,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 76.58/48.41 inference(monotonicity,[status(thm)],[6394])).
% 76.58/48.41 tff(6396,plain,
% 76.58/48.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 76.58/48.41 inference(transitivity,[status(thm)],[6395, 6393])).
% 76.58/48.41 tff(6397,plain,
% 76.58/48.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6398,plain,
% 76.58/48.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 76.58/48.41 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 76.58/48.41 tff(6399,plain,
% 76.58/48.41 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6398, 1079, 6349])).
% 76.58/48.41 tff(6400,plain,
% 76.58/48.41 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6399, 6361])).
% 76.58/48.41 tff(6401,plain,
% 76.58/48.41 (v90(constB55, bitIndex1)),
% 76.58/48.41 inference(unit_resolution,[status(thm)],[6400, 6392])).
% 76.58/48.41 tff(6402,plain,
% 76.58/48.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0))),
% 76.58/48.41 inference(rewrite,[status(thm)],[])).
% 76.58/48.41 tff(6403,plain,
% 76.58/48.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))),
% 76.58/48.41 inference(quant_inst,[status(thm)],[])).
% 76.58/48.41 tff(6404,plain,
% 76.58/48.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 76.58/48.42 tff(6405,plain,
% 76.58/48.42 (v130(constB53, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6404, 1362, 6245])).
% 76.58/48.42 tff(6406,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6407,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6408,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 76.58/48.42 tff(6409,plain,
% 76.58/48.42 ((~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6408, 788, 6269])).
% 76.58/48.42 tff(6410,plain,
% 76.58/48.42 (v127(constB53, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6409, 6405])).
% 76.58/48.42 tff(6411,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6412,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6413,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6412, 6411])).
% 76.58/48.42 tff(6414,plain,
% 76.58/48.42 ((~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6413, 803, 6284])).
% 76.58/48.42 tff(6415,plain,
% 76.58/48.42 (v129(constB54, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6414, 6410])).
% 76.58/48.42 tff(6416,plain,
% 76.58/48.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6417,plain,
% 76.58/48.42 ((v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6418,plain,
% 76.58/48.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))))),
% 76.58/48.42 inference(monotonicity,[status(thm)],[6417])).
% 76.58/48.42 tff(6419,plain,
% 76.58/48.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 76.58/48.42 inference(transitivity,[status(thm)],[6418, 6416])).
% 76.58/48.42 tff(6420,plain,
% 76.58/48.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6421,plain,
% 76.58/48.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6420, 6419])).
% 76.58/48.42 tff(6422,plain,
% 76.58/48.42 (v90(constB54, bitIndex0) | (~v100(constB54))),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6421, 818, 6415])).
% 76.58/48.42 tff(6423,plain,
% 76.58/48.42 (v90(constB54, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6422, 6318])).
% 76.58/48.42 tff(6424,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6425,plain,
% 76.58/48.42 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6426,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)))),
% 76.58/48.42 inference(monotonicity,[status(thm)],[6425])).
% 76.58/48.42 tff(6427,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 76.58/48.42 inference(transitivity,[status(thm)],[6426, 6424])).
% 76.58/48.42 tff(6428,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6429,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 76.58/48.42 tff(6430,plain,
% 76.58/48.42 ((~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6429, 836, 6349])).
% 76.58/48.42 tff(6431,plain,
% 76.58/48.42 ((~v90(constB54, bitIndex0)) | v90(constB55, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6430, 6361])).
% 76.58/48.42 tff(6432,plain,
% 76.58/48.42 (v90(constB55, bitIndex0)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6431, 6423])).
% 76.58/48.42 tff(6433,plain,
% 76.58/48.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6434,plain,
% 76.58/48.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6435,plain,
% 76.58/48.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 76.58/48.42 tff(6436,plain,
% 76.58/48.42 (v122(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6435, 1403, 6432, 6401, 6370])).
% 76.58/48.42 tff(6437,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6438,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6439,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 76.58/48.42 tff(6440,plain,
% 76.58/48.42 (v116(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6439, 1470, 6436])).
% 76.58/48.42 tff(6441,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6442,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6443,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 76.58/48.42 tff(6444,plain,
% 76.58/48.42 (v115(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6443, 519, 6440])).
% 76.58/48.42 tff(6445,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6446,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6447,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6446, 6445])).
% 76.58/48.42 tff(6448,plain,
% 76.58/48.42 (v114(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6447, 530, 6444])).
% 76.58/48.42 tff(6449,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6450,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6451,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6450, 6449])).
% 76.58/48.42 tff(6452,plain,
% 76.58/48.42 (v113(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6451, 541, 6448])).
% 76.58/48.42 tff(6453,assumption,(v26(constB55)), introduced(assumption)).
% 76.58/48.42 tff(6454,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6455,plain,
% 76.58/48.42 ($false),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6454, 14, 6453])).
% 76.58/48.42 tff(6456,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 76.58/48.42 tff(6457,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6458,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6459,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 76.58/48.42 tff(6460,plain,
% 76.58/48.42 ((~v113(constB55)) | v112(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6459, 555, 6456])).
% 76.58/48.42 tff(6461,plain,
% 76.58/48.42 (v112(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6460, 6452])).
% 76.58/48.42 tff(6462,plain,
% 76.58/48.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6463,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6464,plain,
% 76.58/48.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 76.58/48.42 tff(6465,plain,
% 76.58/48.42 (v108(constB55)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6464, 464, 6461])).
% 76.58/48.42 tff(6466,plain,
% 76.58/48.42 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6467,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 76.58/48.42 tff(6468,plain,
% 76.58/48.42 (nextState(constB55, constB56)),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 76.58/48.42 tff(6469,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6470,plain,
% 76.58/48.42 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6471,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 76.58/48.42 inference(monotonicity,[status(thm)],[6470])).
% 76.58/48.42 tff(6472,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 76.58/48.42 inference(transitivity,[status(thm)],[6471, 6469])).
% 76.58/48.42 tff(6473,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6474,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6473, 6472])).
% 76.58/48.42 tff(6475,plain,
% 76.58/48.42 (v110(constB56) | (~v108(constB55))),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6474, 571, 6468])).
% 76.58/48.42 tff(6476,plain,
% 76.58/48.42 (v110(constB56)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6475, 6465])).
% 76.58/48.42 tff(6477,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6478,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6479,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 76.58/48.42 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 76.58/48.42 tff(6480,plain,
% 76.58/48.42 (~v104(constB56)),
% 76.58/48.42 inference(unit_resolution,[status(thm)],[6479, 589, 6468, 6346])).
% 76.58/48.42 tff(6481,plain,
% 76.58/48.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 76.58/48.42 inference(rewrite,[status(thm)],[])).
% 76.58/48.42 tff(6482,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 76.58/48.42 inference(quant_inst,[status(thm)],[])).
% 76.58/48.42 tff(6483,plain,
% 76.58/48.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6482, 6481])).
% 76.58/48.43 tff(6484,plain,
% 76.58/48.43 (v102(constB56) | v104(constB56)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6483, 603, 6468])).
% 76.58/48.43 tff(6485,plain,
% 76.58/48.43 (v102(constB56)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6484, 6480])).
% 76.58/48.43 tff(6486,plain,
% 76.58/48.43 (v1(constB56) <=> v1(constB56)),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6487,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 76.58/48.43 tff(6488,plain,
% 76.58/48.43 (v1(constB56)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 76.58/48.43 tff(6489,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6490,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6491,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6490, 6489])).
% 76.58/48.43 tff(6492,plain,
% 76.58/48.43 (v101(constB56) | (~v102(constB56))),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6491, 621, 6468, 6488])).
% 76.58/48.43 tff(6493,plain,
% 76.58/48.43 (v101(constB56)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6492, 6485])).
% 76.58/48.43 tff(6494,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6495,plain,
% 76.58/48.43 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6496,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 76.58/48.43 inference(monotonicity,[status(thm)],[6495])).
% 76.58/48.43 tff(6497,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 76.58/48.43 inference(transitivity,[status(thm)],[6496, 6494])).
% 76.58/48.43 tff(6498,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6499,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6498, 6497])).
% 76.58/48.43 tff(6500,plain,
% 76.58/48.43 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6499, 636, 6468])).
% 76.58/48.43 tff(6501,plain,
% 76.58/48.43 (v100(constB56) | (~v110(constB56))),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6500, 6493])).
% 76.58/48.43 tff(6502,plain,
% 76.58/48.43 (v100(constB56)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6501, 6476])).
% 76.58/48.43 tff(6503,plain,
% 76.58/48.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6504,plain,
% 76.58/48.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6505,plain,
% 76.58/48.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 76.58/48.43 tff(6506,plain,
% 76.58/48.43 (v130(constB55, bitIndex2)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6505, 1417, 6436])).
% 76.58/48.43 tff(6507,plain,
% 76.58/48.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6508,plain,
% 76.58/48.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6509,plain,
% 76.58/48.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 76.58/48.43 tff(6510,plain,
% 76.58/48.43 ((~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6509, 1431, 6456])).
% 76.58/48.43 tff(6511,plain,
% 76.58/48.43 (v127(constB55, bitIndex2)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6510, 6506])).
% 76.58/48.43 tff(6512,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6513,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6514,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 76.58/48.43 tff(6515,plain,
% 76.58/48.43 ((~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6514, 1449, 6468])).
% 76.58/48.43 tff(6516,plain,
% 76.58/48.43 (v129(constB56, bitIndex2)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6515, 6511])).
% 76.58/48.43 tff(6517,plain,
% 76.58/48.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6518,plain,
% 76.58/48.43 ((v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6519,plain,
% 76.58/48.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))))),
% 76.58/48.43 inference(monotonicity,[status(thm)],[6518])).
% 76.58/48.43 tff(6520,plain,
% 76.58/48.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 76.58/48.43 inference(transitivity,[status(thm)],[6519, 6517])).
% 76.58/48.43 tff(6521,plain,
% 76.58/48.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6522,plain,
% 76.58/48.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6521, 6520])).
% 76.58/48.43 tff(6523,plain,
% 76.58/48.43 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6522, 1539, 6516])).
% 76.58/48.43 tff(6524,plain,
% 76.58/48.43 (v90(constB56, bitIndex2)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6523, 6502])).
% 76.58/48.43 tff(6525,plain,
% 76.58/48.43 ((~v1(constB57)) <=> (~v1(constB57))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6526,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 76.58/48.43 tff(6527,plain,
% 76.58/48.43 (~v1(constB57)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6526, 6525])).
% 76.58/48.43 tff(6528,plain,
% 76.58/48.43 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6529,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 76.58/48.43 tff(6530,plain,
% 76.58/48.43 (nextState(constB56, constB57)),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6529, 6528])).
% 76.58/48.43 tff(6531,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6532,plain,
% 76.58/48.43 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6533,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 76.58/48.43 inference(monotonicity,[status(thm)],[6532])).
% 76.58/48.43 tff(6534,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 76.58/48.43 inference(transitivity,[status(thm)],[6533, 6531])).
% 76.58/48.43 tff(6535,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6536,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 76.58/48.43 tff(6537,plain,
% 76.58/48.43 (~v101(constB57)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6536, 307, 6530, 6527])).
% 76.58/48.43 tff(6538,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 76.58/48.43 inference(rewrite,[status(thm)],[])).
% 76.58/48.43 tff(6539,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 76.58/48.43 inference(quant_inst,[status(thm)],[])).
% 76.58/48.43 tff(6540,plain,
% 76.58/48.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 76.58/48.43 inference(modus_ponens,[status(thm)],[6539, 6538])).
% 76.58/48.43 tff(6541,plain,
% 76.58/48.43 (v101(constB57) | (~v100(constB57))),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6540, 324, 6530])).
% 76.58/48.43 tff(6542,plain,
% 76.58/48.43 (~v100(constB57)),
% 76.58/48.43 inference(unit_resolution,[status(thm)],[6541, 6537])).
% 76.58/48.43 tff(6543,plain,
% 76.58/48.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6544,plain,
% 76.58/48.44 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6545,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)))),
% 76.58/48.44 inference(monotonicity,[status(thm)],[6544])).
% 76.58/48.44 tff(6546,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 76.58/48.44 inference(transitivity,[status(thm)],[6545, 6543])).
% 76.58/48.44 tff(6547,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6548,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 76.58/48.44 tff(6549,plain,
% 76.58/48.44 ((~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6548, 1575, 6530])).
% 76.58/48.44 tff(6550,plain,
% 76.58/48.44 ((~v90(constB56, bitIndex2)) | v90(constB57, bitIndex2)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6549, 6542])).
% 76.58/48.44 tff(6551,plain,
% 76.58/48.44 (v90(constB57, bitIndex2)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6550, 6524])).
% 76.58/48.44 tff(6552,plain,
% 76.58/48.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6553,plain,
% 76.58/48.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6554,plain,
% 76.58/48.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 76.58/48.44 tff(6555,plain,
% 76.58/48.44 (~v130(constB55, bitIndex1)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6554, 1594, 6436])).
% 76.58/48.44 tff(6556,plain,
% 76.58/48.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6557,plain,
% 76.58/48.44 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6558,plain,
% 76.58/48.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 76.58/48.44 inference(monotonicity,[status(thm)],[6557])).
% 76.58/48.44 tff(6559,plain,
% 76.58/48.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 76.58/48.44 inference(transitivity,[status(thm)],[6558, 6556])).
% 76.58/48.44 tff(6560,plain,
% 76.58/48.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6561,plain,
% 76.58/48.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 76.58/48.44 tff(6562,plain,
% 76.58/48.44 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6561, 714, 6456])).
% 76.58/48.44 tff(6563,plain,
% 76.58/48.44 (~v127(constB55, bitIndex1)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6562, 6555])).
% 76.58/48.44 tff(6564,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6565,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6566,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6565, 6564])).
% 76.58/48.44 tff(6567,plain,
% 76.58/48.44 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6566, 732, 6468])).
% 76.58/48.44 tff(6568,plain,
% 76.58/48.44 (~v129(constB56, bitIndex1)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6567, 6563])).
% 76.58/48.44 tff(6569,plain,
% 76.58/48.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6570,plain,
% 76.58/48.44 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6571,plain,
% 76.58/48.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 76.58/48.44 inference(monotonicity,[status(thm)],[6570])).
% 76.58/48.44 tff(6572,plain,
% 76.58/48.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 76.58/48.44 inference(transitivity,[status(thm)],[6571, 6569])).
% 76.58/48.44 tff(6573,plain,
% 76.58/48.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6574,plain,
% 76.58/48.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6573, 6572])).
% 76.58/48.44 tff(6575,plain,
% 76.58/48.44 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6574, 747, 6568])).
% 76.58/48.44 tff(6576,plain,
% 76.58/48.44 (~v90(constB56, bitIndex1)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6575, 6502])).
% 76.58/48.44 tff(6577,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6578,plain,
% 76.58/48.44 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6579,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 76.58/48.44 inference(monotonicity,[status(thm)],[6578])).
% 76.58/48.44 tff(6580,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 76.58/48.44 inference(transitivity,[status(thm)],[6579, 6577])).
% 76.58/48.44 tff(6581,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6582,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 76.58/48.44 tff(6583,plain,
% 76.58/48.44 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6582, 360, 6530])).
% 76.58/48.44 tff(6584,plain,
% 76.58/48.44 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6583, 6542])).
% 76.58/48.44 tff(6585,plain,
% 76.58/48.44 (~v90(constB57, bitIndex1)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6584, 6576])).
% 76.58/48.44 tff(6586,plain,
% 76.58/48.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6587,plain,
% 76.58/48.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6588,plain,
% 76.58/48.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6587, 6586])).
% 76.58/48.44 tff(6589,plain,
% 76.58/48.44 (~v130(constB55, bitIndex0)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6588, 1638, 6436])).
% 76.58/48.44 tff(6590,plain,
% 76.58/48.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6591,plain,
% 76.58/48.44 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6592,plain,
% 76.58/48.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 76.58/48.44 inference(monotonicity,[status(thm)],[6591])).
% 76.58/48.44 tff(6593,plain,
% 76.58/48.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 76.58/48.44 inference(transitivity,[status(thm)],[6592, 6590])).
% 76.58/48.44 tff(6594,plain,
% 76.58/48.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6595,plain,
% 76.58/48.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 76.58/48.44 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 76.58/48.44 tff(6596,plain,
% 76.58/48.44 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6595, 1112, 6456])).
% 76.58/48.44 tff(6597,plain,
% 76.58/48.44 (~v127(constB55, bitIndex0)),
% 76.58/48.44 inference(unit_resolution,[status(thm)],[6596, 6589])).
% 76.58/48.44 tff(6598,plain,
% 76.58/48.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 76.58/48.44 inference(rewrite,[status(thm)],[])).
% 76.58/48.44 tff(6599,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 76.58/48.44 inference(quant_inst,[status(thm)],[])).
% 76.58/48.44 tff(6600,plain,
% 76.58/48.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 76.58/48.45 tff(6601,plain,
% 76.58/48.45 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6600, 1130, 6468])).
% 76.58/48.45 tff(6602,plain,
% 76.58/48.45 (~v129(constB56, bitIndex0)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6601, 6597])).
% 76.58/48.45 tff(6603,plain,
% 76.58/48.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6604,plain,
% 76.58/48.45 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6605,plain,
% 76.58/48.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))))),
% 76.58/48.45 inference(monotonicity,[status(thm)],[6604])).
% 76.58/48.45 tff(6606,plain,
% 76.58/48.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 76.58/48.45 inference(transitivity,[status(thm)],[6605, 6603])).
% 76.58/48.45 tff(6607,plain,
% 76.58/48.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6608,plain,
% 76.58/48.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 76.58/48.45 tff(6609,plain,
% 76.58/48.45 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6608, 1145, 6602])).
% 76.58/48.45 tff(6610,plain,
% 76.58/48.45 (~v90(constB56, bitIndex0)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6609, 6502])).
% 76.58/48.45 tff(6611,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6612,plain,
% 76.58/48.45 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6613,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))))),
% 76.58/48.45 inference(monotonicity,[status(thm)],[6612])).
% 76.58/48.45 tff(6614,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 76.58/48.45 inference(transitivity,[status(thm)],[6613, 6611])).
% 76.58/48.45 tff(6615,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6616,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 76.58/48.45 tff(6617,plain,
% 76.58/48.45 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6616, 381, 6530])).
% 76.58/48.45 tff(6618,plain,
% 76.58/48.45 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6617, 6542])).
% 76.58/48.45 tff(6619,plain,
% 76.58/48.45 (~v90(constB57, bitIndex0)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6618, 6610])).
% 76.58/48.45 tff(6620,plain,
% 76.58/48.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6621,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6622,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 76.58/48.45 tff(6623,plain,
% 76.58/48.45 (v123(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6622, 1682, 6619, 6585, 6551])).
% 76.58/48.45 tff(6624,plain,
% 76.58/48.45 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6625,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6626,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 76.58/48.45 tff(6627,plain,
% 76.58/48.45 (v115(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6626, 1693, 6623])).
% 76.58/48.45 tff(6628,plain,
% 76.58/48.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6629,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6630,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 76.58/48.45 tff(6631,plain,
% 76.58/48.45 (v114(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6630, 530, 6627])).
% 76.58/48.45 tff(6632,plain,
% 76.58/48.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6633,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6634,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 76.58/48.45 tff(6635,plain,
% 76.58/48.45 (v113(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6634, 541, 6631])).
% 76.58/48.45 tff(6636,assumption,(v26(constB57)), introduced(assumption)).
% 76.58/48.45 tff(6637,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6638,plain,
% 76.58/48.45 ($false),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6637, 14, 6636])).
% 76.58/48.45 tff(6639,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 76.58/48.45 tff(6640,plain,
% 76.58/48.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6641,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6642,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6641, 6640])).
% 76.58/48.45 tff(6643,plain,
% 76.58/48.45 ((~v113(constB57)) | v112(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6642, 555, 6639])).
% 76.58/48.45 tff(6644,plain,
% 76.58/48.45 (v112(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6643, 6635])).
% 76.58/48.45 tff(6645,plain,
% 76.58/48.45 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6646,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6647,plain,
% 76.58/48.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 76.58/48.45 tff(6648,plain,
% 76.58/48.45 (v108(constB57)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6647, 464, 6644])).
% 76.58/48.45 tff(6649,plain,
% 76.58/48.45 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6650,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 76.58/48.45 tff(6651,plain,
% 76.58/48.45 (nextState(constB57, constB58)),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6650, 6649])).
% 76.58/48.45 tff(6652,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6653,plain,
% 76.58/48.45 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6654,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 76.58/48.45 inference(monotonicity,[status(thm)],[6653])).
% 76.58/48.45 tff(6655,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 76.58/48.45 inference(transitivity,[status(thm)],[6654, 6652])).
% 76.58/48.45 tff(6656,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6657,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6656, 6655])).
% 76.58/48.45 tff(6658,plain,
% 76.58/48.45 (v110(constB58) | (~v108(constB57))),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6657, 571, 6651])).
% 76.58/48.45 tff(6659,plain,
% 76.58/48.45 (v110(constB58)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6658, 6648])).
% 76.58/48.45 tff(6660,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6661,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6662,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6661, 6660])).
% 76.58/48.45 tff(6663,plain,
% 76.58/48.45 (~v104(constB58)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6662, 589, 6651, 6527])).
% 76.58/48.45 tff(6664,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6665,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 76.58/48.45 inference(quant_inst,[status(thm)],[])).
% 76.58/48.45 tff(6666,plain,
% 76.58/48.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 76.58/48.45 tff(6667,plain,
% 76.58/48.45 (v102(constB58) | v104(constB58)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6666, 603, 6651])).
% 76.58/48.45 tff(6668,plain,
% 76.58/48.45 (v102(constB58)),
% 76.58/48.45 inference(unit_resolution,[status(thm)],[6667, 6663])).
% 76.58/48.45 tff(6669,plain,
% 76.58/48.45 (v1(constB58) <=> v1(constB58)),
% 76.58/48.45 inference(rewrite,[status(thm)],[])).
% 76.58/48.45 tff(6670,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 76.58/48.45 tff(6671,plain,
% 76.58/48.45 (v1(constB58)),
% 76.58/48.45 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 76.58/48.45 tff(6672,plain,
% 76.58/48.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6673,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6674,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6673, 6672])).
% 76.58/48.46 tff(6675,plain,
% 76.58/48.46 (v101(constB58) | (~v102(constB58))),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6674, 621, 6651, 6671])).
% 76.58/48.46 tff(6676,plain,
% 76.58/48.46 (v101(constB58)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6675, 6668])).
% 76.58/48.46 tff(6677,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6678,plain,
% 76.58/48.46 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6679,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 76.58/48.46 inference(monotonicity,[status(thm)],[6678])).
% 76.58/48.46 tff(6680,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 76.58/48.46 inference(transitivity,[status(thm)],[6679, 6677])).
% 76.58/48.46 tff(6681,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6682,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 76.58/48.46 tff(6683,plain,
% 76.58/48.46 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6682, 636, 6651])).
% 76.58/48.46 tff(6684,plain,
% 76.58/48.46 (v100(constB58) | (~v110(constB58))),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6683, 6676])).
% 76.58/48.46 tff(6685,plain,
% 76.58/48.46 (v100(constB58)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6684, 6659])).
% 76.58/48.46 tff(6686,plain,
% 76.58/48.46 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6687,plain,
% 76.58/48.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6688,plain,
% 76.58/48.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 76.58/48.46 tff(6689,plain,
% 76.58/48.46 (v130(constB57, bitIndex2)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6688, 1877, 6623])).
% 76.58/48.46 tff(6690,plain,
% 76.58/48.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6691,plain,
% 76.58/48.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6692,plain,
% 76.58/48.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6691, 6690])).
% 76.58/48.46 tff(6693,plain,
% 76.58/48.46 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6692, 1431, 6639])).
% 76.58/48.46 tff(6694,plain,
% 76.58/48.46 (v127(constB57, bitIndex2)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6693, 6689])).
% 76.58/48.46 tff(6695,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6696,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6697,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 76.58/48.46 tff(6698,plain,
% 76.58/48.46 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6697, 1449, 6651])).
% 76.58/48.46 tff(6699,plain,
% 76.58/48.46 (v129(constB58, bitIndex2)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6698, 6694])).
% 76.58/48.46 tff(6700,plain,
% 76.58/48.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6701,plain,
% 76.58/48.46 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6702,plain,
% 76.58/48.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))))),
% 76.58/48.46 inference(monotonicity,[status(thm)],[6701])).
% 76.58/48.46 tff(6703,plain,
% 76.58/48.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 76.58/48.46 inference(transitivity,[status(thm)],[6702, 6700])).
% 76.58/48.46 tff(6704,plain,
% 76.58/48.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6705,plain,
% 76.58/48.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 76.58/48.46 tff(6706,plain,
% 76.58/48.46 (v90(constB58, bitIndex2) | (~v100(constB58))),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6705, 1539, 6699])).
% 76.58/48.46 tff(6707,plain,
% 76.58/48.46 (v90(constB58, bitIndex2)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6706, 6685])).
% 76.58/48.46 tff(6708,plain,
% 76.58/48.46 ((~v1(constB59)) <=> (~v1(constB59))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6709,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 76.58/48.46 tff(6710,plain,
% 76.58/48.46 (~v1(constB59)),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 76.58/48.46 tff(6711,plain,
% 76.58/48.46 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6712,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 76.58/48.46 tff(6713,plain,
% 76.58/48.46 (nextState(constB58, constB59)),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 76.58/48.46 tff(6714,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6715,plain,
% 76.58/48.46 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 76.58/48.46 inference(rewrite,[status(thm)],[])).
% 76.58/48.46 tff(6716,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 76.58/48.46 inference(monotonicity,[status(thm)],[6715])).
% 76.58/48.46 tff(6717,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 76.58/48.46 inference(transitivity,[status(thm)],[6716, 6714])).
% 76.58/48.46 tff(6718,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 76.58/48.46 inference(quant_inst,[status(thm)],[])).
% 76.58/48.46 tff(6719,plain,
% 76.58/48.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 76.58/48.46 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 76.58/48.46 tff(6720,plain,
% 76.58/48.46 (~v101(constB59)),
% 76.58/48.46 inference(unit_resolution,[status(thm)],[6719, 307, 6713, 6710])).
% 76.58/48.46 tff(6721,plain,
% 76.58/48.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6722,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6723,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 76.58/48.47 tff(6724,plain,
% 76.58/48.47 (v101(constB59) | (~v100(constB59))),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6723, 324, 6713])).
% 76.58/48.47 tff(6725,plain,
% 76.58/48.47 (~v100(constB59)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6724, 6720])).
% 76.58/48.47 tff(6726,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6727,plain,
% 76.58/48.47 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6728,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)))),
% 76.58/48.47 inference(monotonicity,[status(thm)],[6727])).
% 76.58/48.47 tff(6729,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 76.58/48.47 inference(transitivity,[status(thm)],[6728, 6726])).
% 76.58/48.47 tff(6730,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6731,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 76.58/48.47 tff(6732,plain,
% 76.58/48.47 ((~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6731, 1575, 6713])).
% 76.58/48.47 tff(6733,plain,
% 76.58/48.47 ((~v90(constB58, bitIndex2)) | v90(constB59, bitIndex2)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6732, 6725])).
% 76.58/48.47 tff(6734,plain,
% 76.58/48.47 (v90(constB59, bitIndex2)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6733, 6707])).
% 76.58/48.47 tff(6735,plain,
% 76.58/48.47 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6736,plain,
% 76.58/48.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6737,plain,
% 76.58/48.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1))),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 76.58/48.47 tff(6738,plain,
% 76.58/48.47 (~v130(constB57, bitIndex1)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6737, 1765, 6623])).
% 76.58/48.47 tff(6739,plain,
% 76.58/48.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6740,plain,
% 76.58/48.47 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6741,plain,
% 76.58/48.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 76.58/48.47 inference(monotonicity,[status(thm)],[6740])).
% 76.58/48.47 tff(6742,plain,
% 76.58/48.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 76.58/48.47 inference(transitivity,[status(thm)],[6741, 6739])).
% 76.58/48.47 tff(6743,plain,
% 76.58/48.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6744,plain,
% 76.58/48.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 76.58/48.47 tff(6745,plain,
% 76.58/48.47 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6744, 714, 6639])).
% 76.58/48.47 tff(6746,plain,
% 76.58/48.47 (~v127(constB57, bitIndex1)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6745, 6738])).
% 76.58/48.47 tff(6747,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6748,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6749,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6748, 6747])).
% 76.58/48.47 tff(6750,plain,
% 76.58/48.47 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6749, 732, 6651])).
% 76.58/48.47 tff(6751,plain,
% 76.58/48.47 (~v129(constB58, bitIndex1)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6750, 6746])).
% 76.58/48.47 tff(6752,plain,
% 76.58/48.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6753,plain,
% 76.58/48.47 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6754,plain,
% 76.58/48.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))))),
% 76.58/48.47 inference(monotonicity,[status(thm)],[6753])).
% 76.58/48.47 tff(6755,plain,
% 76.58/48.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 76.58/48.47 inference(transitivity,[status(thm)],[6754, 6752])).
% 76.58/48.47 tff(6756,plain,
% 76.58/48.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6757,plain,
% 76.58/48.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 76.58/48.47 tff(6758,plain,
% 76.58/48.47 ((~v90(constB58, bitIndex1)) | (~v100(constB58))),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6757, 747, 6751])).
% 76.58/48.47 tff(6759,plain,
% 76.58/48.47 (~v90(constB58, bitIndex1)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6758, 6685])).
% 76.58/48.47 tff(6760,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6761,plain,
% 76.58/48.47 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6762,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))))),
% 76.58/48.47 inference(monotonicity,[status(thm)],[6761])).
% 76.58/48.47 tff(6763,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 76.58/48.47 inference(transitivity,[status(thm)],[6762, 6760])).
% 76.58/48.47 tff(6764,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6765,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6764, 6763])).
% 76.58/48.47 tff(6766,plain,
% 76.58/48.47 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6765, 360, 6713])).
% 76.58/48.47 tff(6767,plain,
% 76.58/48.47 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6766, 6725])).
% 76.58/48.47 tff(6768,plain,
% 76.58/48.47 (~v90(constB59, bitIndex1)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6767, 6759])).
% 76.58/48.47 tff(6769,plain,
% 76.58/48.47 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6770,plain,
% 76.58/48.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6771,plain,
% 76.58/48.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0)),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 76.58/48.47 tff(6772,plain,
% 76.58/48.47 (v130(constB57, bitIndex0)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6771, 1836, 6623])).
% 76.58/48.47 tff(6773,plain,
% 76.58/48.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6774,plain,
% 76.58/48.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.47 tff(6775,plain,
% 76.58/48.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 76.58/48.47 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 76.58/48.47 tff(6776,plain,
% 76.58/48.47 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6775, 788, 6639])).
% 76.58/48.47 tff(6777,plain,
% 76.58/48.47 (v127(constB57, bitIndex0)),
% 76.58/48.47 inference(unit_resolution,[status(thm)],[6776, 6772])).
% 76.58/48.47 tff(6778,plain,
% 76.58/48.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 76.58/48.47 inference(rewrite,[status(thm)],[])).
% 76.58/48.47 tff(6779,plain,
% 76.58/48.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 76.58/48.47 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6780,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 76.58/48.48 tff(6781,plain,
% 76.58/48.48 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6780, 803, 6651])).
% 76.58/48.48 tff(6782,plain,
% 76.58/48.48 (v129(constB58, bitIndex0)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6781, 6777])).
% 76.58/48.48 tff(6783,plain,
% 76.58/48.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6784,plain,
% 76.58/48.48 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6785,plain,
% 76.58/48.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))))),
% 76.58/48.48 inference(monotonicity,[status(thm)],[6784])).
% 76.58/48.48 tff(6786,plain,
% 76.58/48.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 76.58/48.48 inference(transitivity,[status(thm)],[6785, 6783])).
% 76.58/48.48 tff(6787,plain,
% 76.58/48.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6788,plain,
% 76.58/48.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6787, 6786])).
% 76.58/48.48 tff(6789,plain,
% 76.58/48.48 (v90(constB58, bitIndex0) | (~v100(constB58))),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6788, 818, 6782])).
% 76.58/48.48 tff(6790,plain,
% 76.58/48.48 (v90(constB58, bitIndex0)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6789, 6685])).
% 76.58/48.48 tff(6791,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6792,plain,
% 76.58/48.48 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6793,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)))),
% 76.58/48.48 inference(monotonicity,[status(thm)],[6792])).
% 76.58/48.48 tff(6794,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 76.58/48.48 inference(transitivity,[status(thm)],[6793, 6791])).
% 76.58/48.48 tff(6795,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6796,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6795, 6794])).
% 76.58/48.48 tff(6797,plain,
% 76.58/48.48 ((~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6796, 836, 6713])).
% 76.58/48.48 tff(6798,plain,
% 76.58/48.48 ((~v90(constB58, bitIndex0)) | v90(constB59, bitIndex0)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6797, 6725])).
% 76.58/48.48 tff(6799,plain,
% 76.58/48.48 (v90(constB59, bitIndex0)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6798, 6790])).
% 76.58/48.48 tff(6800,plain,
% 76.58/48.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6801,plain,
% 76.58/48.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6802,plain,
% 76.58/48.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 76.58/48.48 tff(6803,plain,
% 76.58/48.48 (v124(constB59)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6802, 1919, 6799, 6768, 6734])).
% 76.58/48.48 tff(6804,plain,
% 76.58/48.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6805,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6806,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59))),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 76.58/48.48 tff(6807,plain,
% 76.58/48.48 (v114(constB59)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6806, 1951, 6803])).
% 76.58/48.48 tff(6808,plain,
% 76.58/48.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6809,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6810,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59))),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 76.58/48.48 tff(6811,plain,
% 76.58/48.48 (v113(constB59)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6810, 541, 6807])).
% 76.58/48.48 tff(6812,assumption,(v26(constB59)), introduced(assumption)).
% 76.58/48.48 tff(6813,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6814,plain,
% 76.58/48.48 ($false),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6813, 14, 6812])).
% 76.58/48.48 tff(6815,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 76.58/48.48 tff(6816,plain,
% 76.58/48.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6817,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6818,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 76.58/48.48 tff(6819,plain,
% 76.58/48.48 ((~v113(constB59)) | v112(constB59)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6818, 555, 6815])).
% 76.58/48.48 tff(6820,plain,
% 76.58/48.48 (v112(constB59)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6819, 6811])).
% 76.58/48.48 tff(6821,plain,
% 76.58/48.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6822,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6823,plain,
% 76.58/48.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59))),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 76.58/48.48 tff(6824,plain,
% 76.58/48.48 (v108(constB59)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6823, 464, 6820])).
% 76.58/48.48 tff(6825,plain,
% 76.58/48.48 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6826,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 76.58/48.48 tff(6827,plain,
% 76.58/48.48 (nextState(constB59, constB60)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 76.58/48.48 tff(6828,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6829,plain,
% 76.58/48.48 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6830,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 76.58/48.48 inference(monotonicity,[status(thm)],[6829])).
% 76.58/48.48 tff(6831,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 76.58/48.48 inference(transitivity,[status(thm)],[6830, 6828])).
% 76.58/48.48 tff(6832,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6833,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6832, 6831])).
% 76.58/48.48 tff(6834,plain,
% 76.58/48.48 (v110(constB60) | (~v108(constB59))),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6833, 571, 6827])).
% 76.58/48.48 tff(6835,plain,
% 76.58/48.48 (v110(constB60)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6834, 6824])).
% 76.58/48.48 tff(6836,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6837,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6838,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 76.58/48.48 tff(6839,plain,
% 76.58/48.48 (~v104(constB60)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6838, 589, 6827, 6710])).
% 76.58/48.48 tff(6840,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6841,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6842,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6841, 6840])).
% 76.58/48.48 tff(6843,plain,
% 76.58/48.48 (v102(constB60) | v104(constB60)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6842, 603, 6827])).
% 76.58/48.48 tff(6844,plain,
% 76.58/48.48 (v102(constB60)),
% 76.58/48.48 inference(unit_resolution,[status(thm)],[6843, 6839])).
% 76.58/48.48 tff(6845,plain,
% 76.58/48.48 (v1(constB60) <=> v1(constB60)),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6846,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 76.58/48.48 tff(6847,plain,
% 76.58/48.48 (v1(constB60)),
% 76.58/48.48 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 76.58/48.48 tff(6848,plain,
% 76.58/48.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 76.58/48.48 inference(rewrite,[status(thm)],[])).
% 76.58/48.48 tff(6849,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 76.58/48.48 inference(quant_inst,[status(thm)],[])).
% 76.58/48.48 tff(6850,plain,
% 76.58/48.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 76.58/48.49 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 76.58/48.49 tff(6851,plain,
% 76.58/48.49 (v101(constB60) | (~v102(constB60))),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6850, 621, 6827, 6847])).
% 76.58/48.49 tff(6852,plain,
% 76.58/48.49 (v101(constB60)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6851, 6844])).
% 76.58/48.49 tff(6853,plain,
% 76.58/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6854,plain,
% 76.58/48.49 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6855,plain,
% 76.58/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 76.58/48.49 inference(monotonicity,[status(thm)],[6854])).
% 76.58/48.49 tff(6856,plain,
% 76.58/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 76.58/48.49 inference(transitivity,[status(thm)],[6855, 6853])).
% 76.58/48.49 tff(6857,plain,
% 76.58/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 76.58/48.49 inference(quant_inst,[status(thm)],[])).
% 76.58/48.49 tff(6858,plain,
% 76.58/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 76.58/48.49 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 76.58/48.49 tff(6859,plain,
% 76.58/48.49 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6858, 636, 6827])).
% 76.58/48.49 tff(6860,plain,
% 76.58/48.49 (v100(constB60) | (~v110(constB60))),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6859, 6852])).
% 76.58/48.49 tff(6861,plain,
% 76.58/48.49 (v100(constB60)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6860, 6835])).
% 76.58/48.49 tff(6862,plain,
% 76.58/48.49 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6863,plain,
% 76.58/48.49 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))),
% 76.58/48.49 inference(quant_inst,[status(thm)],[])).
% 76.58/48.49 tff(6864,plain,
% 76.58/48.49 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2)),
% 76.58/48.49 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 76.58/48.49 tff(6865,plain,
% 76.58/48.49 (v130(constB59, bitIndex2)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6864, 2050, 6803])).
% 76.58/48.49 tff(6866,plain,
% 76.58/48.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6867,plain,
% 76.58/48.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 76.58/48.49 inference(quant_inst,[status(thm)],[])).
% 76.58/48.49 tff(6868,plain,
% 76.58/48.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 76.58/48.49 inference(modus_ponens,[status(thm)],[6867, 6866])).
% 76.58/48.49 tff(6869,plain,
% 76.58/48.49 ((~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6868, 1431, 6815])).
% 76.58/48.49 tff(6870,plain,
% 76.58/48.49 (v127(constB59, bitIndex2)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6869, 6865])).
% 76.58/48.49 tff(6871,plain,
% 76.58/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6872,plain,
% 76.58/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 76.58/48.49 inference(quant_inst,[status(thm)],[])).
% 76.58/48.49 tff(6873,plain,
% 76.58/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 76.58/48.49 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 76.58/48.49 tff(6874,plain,
% 76.58/48.49 ((~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6873, 1449, 6827])).
% 76.58/48.49 tff(6875,plain,
% 76.58/48.49 (v129(constB60, bitIndex2)),
% 76.58/48.49 inference(unit_resolution,[status(thm)],[6874, 6870])).
% 76.58/48.49 tff(6876,plain,
% 76.58/48.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6877,plain,
% 76.58/48.49 ((v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 76.58/48.49 inference(rewrite,[status(thm)],[])).
% 76.58/48.49 tff(6878,plain,
% 76.58/48.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))))),
% 76.58/48.49 inference(monotonicity,[status(thm)],[6877])).
% 76.58/48.49 tff(6879,plain,
% 76.58/48.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 76.58/48.49 inference(transitivity,[status(thm)],[6878, 6876])).
% 76.58/48.49 tff(6880,plain,
% 76.58/48.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))),
% 76.58/48.49 inference(quant_inst,[status(thm)],[])).
% 76.58/48.49 tff(6881,plain,
% 76.58/48.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 76.69/48.49 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 76.69/48.49 tff(6882,plain,
% 76.69/48.49 (v90(constB60, bitIndex2) | (~v100(constB60))),
% 76.69/48.49 inference(unit_resolution,[status(thm)],[6881, 1539, 6875])).
% 76.69/48.49 tff(6883,plain,
% 76.69/48.49 (v90(constB60, bitIndex2)),
% 76.69/48.49 inference(unit_resolution,[status(thm)],[6882, 6861])).
% 76.69/48.49 tff(6884,plain,
% 76.69/48.49 ((~v1(constB61)) <=> (~v1(constB61))),
% 76.69/48.49 inference(rewrite,[status(thm)],[])).
% 76.69/48.49 tff(6885,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 76.69/48.49 tff(6886,plain,
% 76.69/48.49 (~v1(constB61)),
% 76.69/48.49 inference(modus_ponens,[status(thm)],[6885, 6884])).
% 76.69/48.49 tff(6887,plain,
% 76.69/48.49 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 76.69/48.49 inference(rewrite,[status(thm)],[])).
% 76.69/48.49 tff(6888,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 76.69/48.49 tff(6889,plain,
% 76.69/48.49 (nextState(constB60, constB61)),
% 76.69/48.49 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 76.69/48.49 tff(6890,plain,
% 76.69/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 76.69/48.49 inference(rewrite,[status(thm)],[])).
% 76.69/48.49 tff(6891,plain,
% 76.69/48.49 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 76.69/48.49 inference(rewrite,[status(thm)],[])).
% 76.69/48.49 tff(6892,plain,
% 76.69/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 76.69/48.49 inference(monotonicity,[status(thm)],[6891])).
% 76.69/48.49 tff(6893,plain,
% 76.69/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 76.69/48.49 inference(transitivity,[status(thm)],[6892, 6890])).
% 76.69/48.49 tff(6894,plain,
% 76.69/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 76.69/48.49 inference(quant_inst,[status(thm)],[])).
% 76.69/48.49 tff(6895,plain,
% 76.69/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 76.69/48.49 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 76.69/48.49 tff(6896,plain,
% 76.69/48.49 (~v101(constB61)),
% 76.69/48.49 inference(unit_resolution,[status(thm)],[6895, 307, 6889, 6886])).
% 76.69/48.49 tff(6897,plain,
% 76.69/48.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 76.69/48.49 inference(rewrite,[status(thm)],[])).
% 76.69/48.49 tff(6898,plain,
% 76.69/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 76.69/48.49 inference(quant_inst,[status(thm)],[])).
% 76.69/48.49 tff(6899,plain,
% 76.69/48.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 76.69/48.49 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 76.69/48.50 tff(6900,plain,
% 76.69/48.50 (v101(constB61) | (~v100(constB61))),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6899, 324, 6889])).
% 76.69/48.50 tff(6901,plain,
% 76.69/48.50 (~v100(constB61)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6900, 6896])).
% 76.69/48.50 tff(6902,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6903,plain,
% 76.69/48.50 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6904,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)))),
% 76.69/48.50 inference(monotonicity,[status(thm)],[6903])).
% 76.69/48.50 tff(6905,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 76.69/48.50 inference(transitivity,[status(thm)],[6904, 6902])).
% 76.69/48.50 tff(6906,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6907,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 76.69/48.50 tff(6908,plain,
% 76.69/48.50 ((~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6907, 1575, 6889])).
% 76.69/48.50 tff(6909,plain,
% 76.69/48.50 ((~v90(constB60, bitIndex2)) | v90(constB61, bitIndex2)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6908, 6901])).
% 76.69/48.50 tff(6910,plain,
% 76.69/48.50 (v90(constB61, bitIndex2)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6909, 6883])).
% 76.69/48.50 tff(6911,plain,
% 76.69/48.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6912,plain,
% 76.69/48.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6913,plain,
% 76.69/48.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1)),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6912, 6911])).
% 76.69/48.50 tff(6914,plain,
% 76.69/48.50 (v130(constB59, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6913, 1936, 6803])).
% 76.69/48.50 tff(6915,plain,
% 76.69/48.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6916,plain,
% 76.69/48.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6917,plain,
% 76.69/48.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 76.69/48.50 tff(6918,plain,
% 76.69/48.50 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6917, 1031, 6815])).
% 76.69/48.50 tff(6919,plain,
% 76.69/48.50 (v127(constB59, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6918, 6914])).
% 76.69/48.50 tff(6920,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6921,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6922,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 76.69/48.50 tff(6923,plain,
% 76.69/48.50 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6922, 1046, 6827])).
% 76.69/48.50 tff(6924,plain,
% 76.69/48.50 (v129(constB60, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6923, 6919])).
% 76.69/48.50 tff(6925,plain,
% 76.69/48.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6926,plain,
% 76.69/48.50 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6927,plain,
% 76.69/48.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 76.69/48.50 inference(monotonicity,[status(thm)],[6926])).
% 76.69/48.50 tff(6928,plain,
% 76.69/48.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 76.69/48.50 inference(transitivity,[status(thm)],[6927, 6925])).
% 76.69/48.50 tff(6929,plain,
% 76.69/48.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6930,plain,
% 76.69/48.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 76.69/48.50 tff(6931,plain,
% 76.69/48.50 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6930, 1061, 6924])).
% 76.69/48.50 tff(6932,plain,
% 76.69/48.50 (v90(constB60, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6931, 6861])).
% 76.69/48.50 tff(6933,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6934,plain,
% 76.69/48.50 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6935,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 76.69/48.50 inference(monotonicity,[status(thm)],[6934])).
% 76.69/48.50 tff(6936,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 76.69/48.50 inference(transitivity,[status(thm)],[6935, 6933])).
% 76.69/48.50 tff(6937,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6938,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6937, 6936])).
% 76.69/48.50 tff(6939,plain,
% 76.69/48.50 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6938, 1079, 6889])).
% 76.69/48.50 tff(6940,plain,
% 76.69/48.50 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6939, 6901])).
% 76.69/48.50 tff(6941,plain,
% 76.69/48.50 (v90(constB61, bitIndex1)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6940, 6932])).
% 76.69/48.50 tff(6942,plain,
% 76.69/48.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6943,plain,
% 76.69/48.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6944,plain,
% 76.69/48.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0))),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 76.69/48.50 tff(6945,plain,
% 76.69/48.50 (~v130(constB59, bitIndex0)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6944, 2112, 6803])).
% 76.69/48.50 tff(6946,plain,
% 76.69/48.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6947,plain,
% 76.69/48.50 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6948,plain,
% 76.69/48.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 76.69/48.50 inference(monotonicity,[status(thm)],[6947])).
% 76.69/48.50 tff(6949,plain,
% 76.69/48.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 76.69/48.50 inference(transitivity,[status(thm)],[6948, 6946])).
% 76.69/48.50 tff(6950,plain,
% 76.69/48.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6951,plain,
% 76.69/48.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 76.69/48.50 tff(6952,plain,
% 76.69/48.50 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6951, 1112, 6815])).
% 76.69/48.50 tff(6953,plain,
% 76.69/48.50 (~v127(constB59, bitIndex0)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6952, 6945])).
% 76.69/48.50 tff(6954,plain,
% 76.69/48.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 76.69/48.50 inference(rewrite,[status(thm)],[])).
% 76.69/48.50 tff(6955,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 76.69/48.50 inference(quant_inst,[status(thm)],[])).
% 76.69/48.50 tff(6956,plain,
% 76.69/48.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 76.69/48.50 inference(modus_ponens,[status(thm)],[6955, 6954])).
% 76.69/48.50 tff(6957,plain,
% 76.69/48.50 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6956, 1130, 6827])).
% 76.69/48.50 tff(6958,plain,
% 76.69/48.50 (~v129(constB60, bitIndex0)),
% 76.69/48.50 inference(unit_resolution,[status(thm)],[6957, 6953])).
% 76.69/48.50 tff(6959,plain,
% 76.69/48.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6960,plain,
% 76.69/48.51 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6961,plain,
% 76.69/48.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))))),
% 76.69/48.51 inference(monotonicity,[status(thm)],[6960])).
% 76.69/48.51 tff(6962,plain,
% 76.69/48.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 76.69/48.51 inference(transitivity,[status(thm)],[6961, 6959])).
% 76.69/48.51 tff(6963,plain,
% 76.69/48.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 76.69/48.51 inference(quant_inst,[status(thm)],[])).
% 76.69/48.51 tff(6964,plain,
% 76.69/48.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 76.69/48.51 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 76.69/48.51 tff(6965,plain,
% 76.69/48.51 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6964, 1145, 6958])).
% 76.69/48.51 tff(6966,plain,
% 76.69/48.51 (~v90(constB60, bitIndex0)),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6965, 6861])).
% 76.69/48.51 tff(6967,plain,
% 76.69/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6968,plain,
% 76.69/48.51 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6969,plain,
% 76.69/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))))),
% 76.69/48.51 inference(monotonicity,[status(thm)],[6968])).
% 76.69/48.51 tff(6970,plain,
% 76.69/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 76.69/48.51 inference(transitivity,[status(thm)],[6969, 6967])).
% 76.69/48.51 tff(6971,plain,
% 76.69/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 76.69/48.51 inference(quant_inst,[status(thm)],[])).
% 76.69/48.51 tff(6972,plain,
% 76.69/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 76.69/48.51 inference(modus_ponens,[status(thm)],[6971, 6970])).
% 76.69/48.51 tff(6973,plain,
% 76.69/48.51 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6972, 381, 6889])).
% 76.69/48.51 tff(6974,plain,
% 76.69/48.51 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6973, 6901])).
% 76.69/48.51 tff(6975,plain,
% 76.69/48.51 (~v90(constB61, bitIndex0)),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6974, 6966])).
% 76.69/48.51 tff(6976,plain,
% 76.69/48.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6977,plain,
% 76.69/48.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 76.69/48.51 inference(quant_inst,[status(thm)],[])).
% 76.69/48.51 tff(6978,plain,
% 76.69/48.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61)),
% 76.69/48.51 inference(modus_ponens,[status(thm)],[6977, 6976])).
% 76.69/48.51 tff(6979,plain,
% 76.69/48.51 (v125(constB61)),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6978, 2156, 6975, 6941, 6910])).
% 76.69/48.51 tff(6980,plain,
% 76.69/48.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6981,plain,
% 76.69/48.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))),
% 76.69/48.51 inference(quant_inst,[status(thm)],[])).
% 76.69/48.51 tff(6982,plain,
% 76.69/48.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61))),
% 76.69/48.51 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 76.69/48.51 tff(6983,plain,
% 76.69/48.51 (v113(constB61)),
% 76.69/48.51 inference(unit_resolution,[status(thm)],[6982, 2167, 6979])).
% 76.69/48.51 tff(6984,plain,
% 76.69/48.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6985,plain,
% 76.69/48.51 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 76.69/48.51 inference(rewrite,[status(thm)],[])).
% 76.69/48.51 tff(6986,plain,
% 76.69/48.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 76.69/48.51 inference(monotonicity,[status(thm)],[6985])).
% 76.69/48.51 tff(6987,plain,
% 76.69/48.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 76.71/48.51 inference(transitivity,[status(thm)],[6986, 6984])).
% 76.71/48.51 tff(6988,plain,
% 76.71/48.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 76.71/48.51 inference(quant_inst,[status(thm)],[])).
% 76.71/48.51 tff(6989,plain,
% 76.71/48.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 76.71/48.51 tff(6990,plain,
% 76.71/48.51 (v26(constB61) | v112(constB61)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[6989, 555, 6983])).
% 76.71/48.51 tff(6991,plain,
% 76.71/48.51 (v112(constB61)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[6990, 21])).
% 76.71/48.51 tff(6992,plain,
% 76.71/48.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61)))),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(6993,plain,
% 76.71/48.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))),
% 76.71/48.51 inference(quant_inst,[status(thm)],[])).
% 76.71/48.51 tff(6994,plain,
% 76.71/48.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61))),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[6993, 6992])).
% 76.71/48.51 tff(6995,plain,
% 76.71/48.51 (v108(constB61)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[6994, 464, 6991])).
% 76.71/48.51 tff(6996,plain,
% 76.71/48.51 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(6997,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 76.71/48.51 tff(6998,plain,
% 76.71/48.51 (nextState(constB61, constB62)),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 76.71/48.51 tff(6999,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(7000,plain,
% 76.71/48.51 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(7001,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 76.71/48.51 inference(monotonicity,[status(thm)],[7000])).
% 76.71/48.51 tff(7002,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 76.71/48.51 inference(transitivity,[status(thm)],[7001, 6999])).
% 76.71/48.51 tff(7003,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 76.71/48.51 inference(quant_inst,[status(thm)],[])).
% 76.71/48.51 tff(7004,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 76.71/48.51 tff(7005,plain,
% 76.71/48.51 (v110(constB62) | (~v108(constB61))),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7004, 571, 6998])).
% 76.71/48.51 tff(7006,plain,
% 76.71/48.51 (v110(constB62)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7005, 6995])).
% 76.71/48.51 tff(7007,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(7008,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 76.71/48.51 inference(quant_inst,[status(thm)],[])).
% 76.71/48.51 tff(7009,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 76.71/48.51 tff(7010,plain,
% 76.71/48.51 (~v104(constB62)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7009, 589, 6998, 6886])).
% 76.71/48.51 tff(7011,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(7012,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 76.71/48.51 inference(quant_inst,[status(thm)],[])).
% 76.71/48.51 tff(7013,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 76.71/48.51 tff(7014,plain,
% 76.71/48.51 (v102(constB62) | v104(constB62)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7013, 603, 6998])).
% 76.71/48.51 tff(7015,plain,
% 76.71/48.51 (v102(constB62)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7014, 7010])).
% 76.71/48.51 tff(7016,plain,
% 76.71/48.51 (v1(constB62) <=> v1(constB62)),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(7017,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 76.71/48.51 tff(7018,plain,
% 76.71/48.51 (v1(constB62)),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 76.71/48.51 tff(7019,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 76.71/48.51 inference(rewrite,[status(thm)],[])).
% 76.71/48.51 tff(7020,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 76.71/48.51 inference(quant_inst,[status(thm)],[])).
% 76.71/48.51 tff(7021,plain,
% 76.71/48.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 76.71/48.51 inference(modus_ponens,[status(thm)],[7020, 7019])).
% 76.71/48.51 tff(7022,plain,
% 76.71/48.51 (v101(constB62) | (~v102(constB62))),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7021, 621, 6998, 7018])).
% 76.71/48.51 tff(7023,plain,
% 76.71/48.51 (v101(constB62)),
% 76.71/48.51 inference(unit_resolution,[status(thm)],[7022, 7015])).
% 76.71/48.51 tff(7024,plain,
% 76.71/48.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7025,plain,
% 76.71/48.52 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7026,plain,
% 76.71/48.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 76.71/48.52 inference(monotonicity,[status(thm)],[7025])).
% 76.71/48.52 tff(7027,plain,
% 76.71/48.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 76.71/48.52 inference(transitivity,[status(thm)],[7026, 7024])).
% 76.71/48.52 tff(7028,plain,
% 76.71/48.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7029,plain,
% 76.71/48.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 76.71/48.52 tff(7030,plain,
% 76.71/48.52 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7029, 636, 6998])).
% 76.71/48.52 tff(7031,plain,
% 76.71/48.52 (v100(constB62) | (~v110(constB62))),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7030, 7023])).
% 76.71/48.52 tff(7032,plain,
% 76.71/48.52 (v100(constB62)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7031, 7006])).
% 76.71/48.52 tff(7033,plain,
% 76.71/48.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7034,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7035,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 76.71/48.52 tff(7036,plain,
% 76.71/48.52 (~v122(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7035, 2229, 6910])).
% 76.71/48.52 tff(7037,plain,
% 76.71/48.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7038,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7039,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 76.71/48.52 tff(7040,plain,
% 76.71/48.52 (~v120(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7039, 2254, 6941])).
% 76.71/48.52 tff(7041,plain,
% 76.71/48.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7042,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7043,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7042, 7041])).
% 76.71/48.52 tff(7044,plain,
% 76.71/48.52 (~v124(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7043, 2276, 6941])).
% 76.71/48.52 tff(7045,plain,
% 76.71/48.52 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7046,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7047,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 76.71/48.52 tff(7048,plain,
% 76.71/48.52 (~v119(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7047, 2243, 6941])).
% 76.71/48.52 tff(7049,plain,
% 76.71/48.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7050,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7051,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 76.71/48.52 tff(7052,plain,
% 76.71/48.52 (~v121(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7051, 2218, 6910])).
% 76.71/48.52 tff(7053,plain,
% 76.71/48.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7054,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7055,plain,
% 76.71/48.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 76.71/48.52 tff(7056,plain,
% 76.71/48.52 (~v123(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7055, 2265, 6941])).
% 76.71/48.52 tff(7057,plain,
% 76.71/48.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7058,plain,
% 76.71/48.52 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))) <=> (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7059,plain,
% 76.71/48.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))))),
% 76.71/48.52 inference(monotonicity,[status(thm)],[7058])).
% 76.71/48.52 tff(7060,plain,
% 76.71/48.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 76.71/48.52 inference(transitivity,[status(thm)],[7059, 7057])).
% 76.71/48.52 tff(7061,plain,
% 76.71/48.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7062,plain,
% 76.71/48.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7061, 7060])).
% 76.71/48.52 tff(7063,plain,
% 76.71/48.52 (~v130(constB61, bitIndex2)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7062, 2290, 7056, 7052, 7048, 7044, 7040, 7036])).
% 76.71/48.52 tff(7064,plain,
% 76.71/48.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7065,plain,
% 76.71/48.52 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7066,plain,
% 76.71/48.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)))),
% 76.71/48.52 inference(monotonicity,[status(thm)],[7065])).
% 76.71/48.52 tff(7067,plain,
% 76.71/48.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 76.71/48.52 inference(transitivity,[status(thm)],[7066, 7064])).
% 76.71/48.52 tff(7068,plain,
% 76.71/48.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7069,plain,
% 76.71/48.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 76.71/48.52 tff(7070,plain,
% 76.71/48.52 ((~v127(constB61, bitIndex2)) | v26(constB61)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7069, 430, 7063])).
% 76.71/48.52 tff(7071,plain,
% 76.71/48.52 (~v127(constB61, bitIndex2)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7070, 21])).
% 76.71/48.52 tff(7072,plain,
% 76.71/48.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7073,plain,
% 76.71/48.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 76.71/48.52 inference(quant_inst,[status(thm)],[])).
% 76.71/48.52 tff(7074,plain,
% 76.71/48.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 76.71/48.52 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 76.71/48.52 tff(7075,plain,
% 76.71/48.52 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7074, 451, 6998])).
% 76.71/48.52 tff(7076,plain,
% 76.71/48.52 (~v129(constB62, bitIndex2)),
% 76.71/48.52 inference(unit_resolution,[status(thm)],[7075, 7071])).
% 76.71/48.52 tff(7077,plain,
% 76.71/48.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.52 tff(7078,plain,
% 76.71/48.52 (((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 76.71/48.52 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7079,plain,
% 76.71/48.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))))),
% 76.71/48.53 inference(monotonicity,[status(thm)],[7078])).
% 76.71/48.53 tff(7080,plain,
% 76.71/48.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 76.71/48.53 inference(transitivity,[status(thm)],[7079, 7077])).
% 76.71/48.53 tff(7081,plain,
% 76.71/48.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))),
% 76.71/48.53 inference(quant_inst,[status(thm)],[])).
% 76.71/48.53 tff(7082,plain,
% 76.71/48.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 76.71/48.53 inference(modus_ponens,[status(thm)],[7081, 7080])).
% 76.71/48.53 tff(7083,plain,
% 76.71/48.53 ((~v90(constB62, bitIndex2)) | (~v100(constB62))),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7082, 655, 7076])).
% 76.71/48.53 tff(7084,plain,
% 76.71/48.53 (~v90(constB62, bitIndex2)),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7083, 7032])).
% 76.71/48.53 tff(7085,plain,
% 76.71/48.53 ((~v1(constB63)) <=> (~v1(constB63))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7086,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 76.71/48.53 tff(7087,plain,
% 76.71/48.53 (~v1(constB63)),
% 76.71/48.53 inference(modus_ponens,[status(thm)],[7086, 7085])).
% 76.71/48.53 tff(7088,plain,
% 76.71/48.53 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7089,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 76.71/48.53 tff(7090,plain,
% 76.71/48.53 (nextState(constB62, constB63)),
% 76.71/48.53 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 76.71/48.53 tff(7091,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7092,plain,
% 76.71/48.53 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7093,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 76.71/48.53 inference(monotonicity,[status(thm)],[7092])).
% 76.71/48.53 tff(7094,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 76.71/48.53 inference(transitivity,[status(thm)],[7093, 7091])).
% 76.71/48.53 tff(7095,plain,
% 76.71/48.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 76.71/48.53 inference(quant_inst,[status(thm)],[])).
% 76.71/48.53 tff(7096,plain,
% 76.71/48.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 76.71/48.53 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 76.71/48.53 tff(7097,plain,
% 76.71/48.53 (~v101(constB63)),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7096, 307, 7090, 7087])).
% 76.71/48.53 tff(7098,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7099,plain,
% 76.71/48.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 76.71/48.53 inference(quant_inst,[status(thm)],[])).
% 76.71/48.53 tff(7100,plain,
% 76.71/48.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 76.71/48.53 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 76.71/48.53 tff(7101,plain,
% 76.71/48.53 (v101(constB63) | (~v100(constB63))),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7100, 324, 7090])).
% 76.71/48.53 tff(7102,plain,
% 76.71/48.53 (~v100(constB63)),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7101, 7097])).
% 76.71/48.53 tff(7103,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7104,plain,
% 76.71/48.53 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7105,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))))),
% 76.71/48.53 inference(monotonicity,[status(thm)],[7104])).
% 76.71/48.53 tff(7106,plain,
% 76.71/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 76.71/48.53 inference(transitivity,[status(thm)],[7105, 7103])).
% 76.71/48.53 tff(7107,plain,
% 76.71/48.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 76.71/48.53 inference(quant_inst,[status(thm)],[])).
% 76.71/48.53 tff(7108,plain,
% 76.71/48.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 76.71/48.53 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 76.71/48.53 tff(7109,plain,
% 76.71/48.53 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7108, 339, 7090])).
% 76.71/48.53 tff(7110,plain,
% 76.71/48.53 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7109, 7102])).
% 76.71/48.53 tff(7111,plain,
% 76.71/48.53 (~v90(constB63, bitIndex2)),
% 76.71/48.53 inference(unit_resolution,[status(thm)],[7110, 7084])).
% 76.71/48.53 tff(7112,plain,
% 76.71/48.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7113,plain,
% 76.71/48.53 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))) <=> (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 76.71/48.53 inference(rewrite,[status(thm)],[])).
% 76.71/48.53 tff(7114,plain,
% 76.71/48.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))))),
% 76.71/48.53 inference(monotonicity,[status(thm)],[7113])).
% 76.71/48.53 tff(7115,plain,
% 76.71/48.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 76.73/48.53 inference(transitivity,[status(thm)],[7114, 7112])).
% 76.73/48.53 tff(7116,plain,
% 76.73/48.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 76.73/48.53 inference(quant_inst,[status(thm)],[])).
% 76.73/48.53 tff(7117,plain,
% 76.73/48.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))),
% 76.73/48.53 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 76.73/48.53 tff(7118,plain,
% 76.73/48.53 (~v130(constB61, bitIndex1)),
% 76.73/48.53 inference(unit_resolution,[status(thm)],[7117, 2355, 7056, 7052, 7048, 7044, 7040, 7036])).
% 76.73/48.53 tff(7119,plain,
% 76.73/48.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 76.73/48.53 inference(rewrite,[status(thm)],[])).
% 76.73/48.53 tff(7120,plain,
% 76.73/48.53 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 76.73/48.53 inference(rewrite,[status(thm)],[])).
% 76.73/48.53 tff(7121,plain,
% 76.73/48.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 76.73/48.53 inference(monotonicity,[status(thm)],[7120])).
% 76.73/48.53 tff(7122,plain,
% 76.73/48.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 76.73/48.53 inference(transitivity,[status(thm)],[7121, 7119])).
% 76.73/48.53 tff(7123,plain,
% 76.73/48.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 76.73/48.53 inference(quant_inst,[status(thm)],[])).
% 76.73/48.53 tff(7124,plain,
% 76.73/48.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 76.73/48.53 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 76.73/48.53 tff(7125,plain,
% 76.73/48.53 ((~v127(constB61, bitIndex1)) | v26(constB61)),
% 76.73/48.53 inference(unit_resolution,[status(thm)],[7124, 714, 7118])).
% 76.73/48.53 tff(7126,plain,
% 76.73/48.53 (~v127(constB61, bitIndex1)),
% 76.73/48.53 inference(unit_resolution,[status(thm)],[7125, 21])).
% 76.73/48.53 tff(7127,plain,
% 76.73/48.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7128,plain,
% 76.73/48.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 76.73/48.54 inference(quant_inst,[status(thm)],[])).
% 76.73/48.54 tff(7129,plain,
% 76.73/48.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 76.73/48.54 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 76.73/48.54 tff(7130,plain,
% 76.73/48.54 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7129, 732, 6998])).
% 76.73/48.54 tff(7131,plain,
% 76.73/48.54 (~v129(constB62, bitIndex1)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7130, 7126])).
% 76.73/48.54 tff(7132,plain,
% 76.73/48.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7133,plain,
% 76.73/48.54 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7134,plain,
% 76.73/48.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 76.73/48.54 inference(monotonicity,[status(thm)],[7133])).
% 76.73/48.54 tff(7135,plain,
% 76.73/48.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 76.73/48.54 inference(transitivity,[status(thm)],[7134, 7132])).
% 76.73/48.54 tff(7136,plain,
% 76.73/48.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 76.73/48.54 inference(quant_inst,[status(thm)],[])).
% 76.73/48.54 tff(7137,plain,
% 76.73/48.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 76.73/48.54 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 76.73/48.54 tff(7138,plain,
% 76.73/48.54 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7137, 747, 7131])).
% 76.73/48.54 tff(7139,plain,
% 76.73/48.54 (~v90(constB62, bitIndex1)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7138, 7032])).
% 76.73/48.54 tff(7140,plain,
% 76.73/48.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7141,plain,
% 76.73/48.54 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7142,plain,
% 76.73/48.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 76.73/48.54 inference(monotonicity,[status(thm)],[7141])).
% 76.73/48.54 tff(7143,plain,
% 76.73/48.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 76.73/48.54 inference(transitivity,[status(thm)],[7142, 7140])).
% 76.73/48.54 tff(7144,plain,
% 76.73/48.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 76.73/48.54 inference(quant_inst,[status(thm)],[])).
% 76.73/48.54 tff(7145,plain,
% 76.73/48.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 76.73/48.54 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 76.73/48.54 tff(7146,plain,
% 76.73/48.54 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7145, 360, 7090])).
% 76.73/48.54 tff(7147,plain,
% 76.73/48.54 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7146, 7102])).
% 76.73/48.54 tff(7148,plain,
% 76.73/48.54 (~v90(constB63, bitIndex1)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7147, 7139])).
% 76.73/48.54 tff(7149,plain,
% 76.73/48.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7150,plain,
% 76.73/48.54 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0)) <=> (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7151,plain,
% 76.73/48.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | v130(constB61, bitIndex0)))),
% 76.73/48.54 inference(monotonicity,[status(thm)],[7150])).
% 76.73/48.54 tff(7152,plain,
% 76.73/48.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 76.73/48.54 inference(transitivity,[status(thm)],[7151, 7149])).
% 76.73/48.54 tff(7153,plain,
% 76.73/48.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 76.73/48.54 inference(quant_inst,[status(thm)],[])).
% 76.73/48.54 tff(7154,plain,
% 76.73/48.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v121(constB61) | v124(constB61) | v130(constB61, bitIndex0)),
% 76.73/48.54 inference(modus_ponens,[status(thm)],[7153, 7152])).
% 76.73/48.54 tff(7155,plain,
% 76.73/48.54 (v130(constB61, bitIndex0)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7154, 2402, 7056, 7052, 7048, 7044, 7040, 7036])).
% 76.73/48.54 tff(7156,plain,
% 76.73/48.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7157,plain,
% 76.73/48.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 76.73/48.54 inference(quant_inst,[status(thm)],[])).
% 76.73/48.54 tff(7158,plain,
% 76.73/48.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 76.73/48.54 inference(modus_ponens,[status(thm)],[7157, 7156])).
% 76.73/48.54 tff(7159,plain,
% 76.73/48.54 (v26(constB61) | v127(constB61, bitIndex0)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7158, 788, 7155])).
% 76.73/48.54 tff(7160,plain,
% 76.73/48.54 (v127(constB61, bitIndex0)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7159, 21])).
% 76.73/48.54 tff(7161,plain,
% 76.73/48.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7162,plain,
% 76.73/48.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 76.73/48.54 inference(quant_inst,[status(thm)],[])).
% 76.73/48.54 tff(7163,plain,
% 76.73/48.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 76.73/48.54 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 76.73/48.54 tff(7164,plain,
% 76.73/48.54 ((~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7163, 803, 6998])).
% 76.73/48.54 tff(7165,plain,
% 76.73/48.54 (v129(constB62, bitIndex0)),
% 76.73/48.54 inference(unit_resolution,[status(thm)],[7164, 7160])).
% 76.73/48.54 tff(7166,plain,
% 76.73/48.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 76.73/48.54 inference(rewrite,[status(thm)],[])).
% 76.73/48.54 tff(7167,plain,
% 76.73/48.54 ((v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7168,plain,
% 76.73/48.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))))),
% 76.73/48.55 inference(monotonicity,[status(thm)],[7167])).
% 76.73/48.55 tff(7169,plain,
% 76.73/48.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 76.73/48.55 inference(transitivity,[status(thm)],[7168, 7166])).
% 76.73/48.55 tff(7170,plain,
% 76.73/48.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7171,plain,
% 76.73/48.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 76.73/48.55 tff(7172,plain,
% 76.73/48.55 (v90(constB62, bitIndex0) | (~v100(constB62))),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7171, 818, 7165])).
% 76.73/48.55 tff(7173,plain,
% 76.73/48.55 (v90(constB62, bitIndex0)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7172, 7032])).
% 76.73/48.55 tff(7174,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7175,plain,
% 76.73/48.55 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7176,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)))),
% 76.73/48.55 inference(monotonicity,[status(thm)],[7175])).
% 76.73/48.55 tff(7177,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 76.73/48.55 inference(transitivity,[status(thm)],[7176, 7174])).
% 76.73/48.55 tff(7178,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7179,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 76.73/48.55 tff(7180,plain,
% 76.73/48.55 ((~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7179, 836, 7090])).
% 76.73/48.55 tff(7181,plain,
% 76.73/48.55 ((~v90(constB62, bitIndex0)) | v90(constB63, bitIndex0)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7180, 7102])).
% 76.73/48.55 tff(7182,plain,
% 76.73/48.55 (v90(constB63, bitIndex0)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7181, 7173])).
% 76.73/48.55 tff(7183,plain,
% 76.73/48.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7184,plain,
% 76.73/48.55 (((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)) <=> ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7185,plain,
% 76.73/48.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)))),
% 76.73/48.55 inference(monotonicity,[status(thm)],[7184])).
% 76.73/48.55 tff(7186,plain,
% 76.73/48.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 76.73/48.55 inference(transitivity,[status(thm)],[7185, 7183])).
% 76.73/48.55 tff(7187,plain,
% 76.73/48.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7188,plain,
% 76.73/48.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 76.73/48.55 tff(7189,plain,
% 76.73/48.55 (v120(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7188, 855, 7182, 7148, 7111])).
% 76.73/48.55 tff(7190,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7191,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7192,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 76.73/48.55 tff(7193,plain,
% 76.73/48.55 (v118(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7192, 908, 7189])).
% 76.73/48.55 tff(7194,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7195,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7196,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 76.73/48.55 tff(7197,plain,
% 76.73/48.55 (v117(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7196, 497, 7193])).
% 76.73/48.55 tff(7198,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7199,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7200,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 76.73/48.55 tff(7201,plain,
% 76.73/48.55 (v116(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7200, 508, 7197])).
% 76.73/48.55 tff(7202,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7203,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7204,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 76.73/48.55 tff(7205,plain,
% 76.73/48.55 (v115(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7204, 519, 7201])).
% 76.73/48.55 tff(7206,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7207,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7208,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 76.73/48.55 tff(7209,plain,
% 76.73/48.55 (v114(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7208, 530, 7205])).
% 76.73/48.55 tff(7210,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7211,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7212,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 76.73/48.55 tff(7213,plain,
% 76.73/48.55 (v113(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7212, 541, 7209])).
% 76.73/48.55 tff(7214,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7215,plain,
% 76.73/48.55 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7216,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63))))),
% 76.73/48.55 inference(monotonicity,[status(thm)],[7215])).
% 76.73/48.55 tff(7217,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 76.73/48.55 inference(transitivity,[status(thm)],[7216, 7214])).
% 76.73/48.55 tff(7218,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7219,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 76.73/48.55 tff(7220,plain,
% 76.73/48.55 (v26(constB63) | v112(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7219, 555, 7213])).
% 76.73/48.55 tff(7221,plain,
% 76.73/48.55 (v112(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7220, 17])).
% 76.73/48.55 tff(7222,plain,
% 76.73/48.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7223,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7224,plain,
% 76.73/48.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 76.73/48.55 tff(7225,plain,
% 76.73/48.55 (v108(constB63)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7224, 464, 7221])).
% 76.73/48.55 tff(7226,plain,
% 76.73/48.55 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7227,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 76.73/48.55 tff(7228,plain,
% 76.73/48.55 (nextState(constB63, constB64)),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 76.73/48.55 tff(7229,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7230,plain,
% 76.73/48.55 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7231,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 76.73/48.55 inference(monotonicity,[status(thm)],[7230])).
% 76.73/48.55 tff(7232,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 76.73/48.55 inference(transitivity,[status(thm)],[7231, 7229])).
% 76.73/48.55 tff(7233,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7234,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7233, 7232])).
% 76.73/48.55 tff(7235,plain,
% 76.73/48.55 (v110(constB64) | (~v108(constB63))),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7234, 571, 7228])).
% 76.73/48.55 tff(7236,plain,
% 76.73/48.55 (v110(constB64)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7235, 7225])).
% 76.73/48.55 tff(7237,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7238,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7239,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7238, 7237])).
% 76.73/48.55 tff(7240,plain,
% 76.73/48.55 (~v104(constB64)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7239, 589, 7228, 7087])).
% 76.73/48.55 tff(7241,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7242,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7243,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 76.73/48.55 tff(7244,plain,
% 76.73/48.55 (v102(constB64) | v104(constB64)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7243, 603, 7228])).
% 76.73/48.55 tff(7245,plain,
% 76.73/48.55 (v102(constB64)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7244, 7240])).
% 76.73/48.55 tff(7246,plain,
% 76.73/48.55 (v1(constB64) <=> v1(constB64)),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7247,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 76.73/48.55 tff(7248,plain,
% 76.73/48.55 (v1(constB64)),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 76.73/48.55 tff(7249,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 76.73/48.55 inference(rewrite,[status(thm)],[])).
% 76.73/48.55 tff(7250,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 76.73/48.55 inference(quant_inst,[status(thm)],[])).
% 76.73/48.55 tff(7251,plain,
% 76.73/48.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 76.73/48.55 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 76.73/48.55 tff(7252,plain,
% 76.73/48.55 (v101(constB64) | (~v102(constB64))),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7251, 621, 7228, 7248])).
% 76.73/48.55 tff(7253,plain,
% 76.73/48.55 (v101(constB64)),
% 76.73/48.55 inference(unit_resolution,[status(thm)],[7252, 7245])).
% 76.73/48.55 tff(7254,plain,
% 76.73/48.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7255,plain,
% 76.73/48.56 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7256,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 76.73/48.56 inference(monotonicity,[status(thm)],[7255])).
% 76.73/48.56 tff(7257,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 76.73/48.56 inference(transitivity,[status(thm)],[7256, 7254])).
% 76.73/48.56 tff(7258,plain,
% 76.73/48.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 76.73/48.56 inference(quant_inst,[status(thm)],[])).
% 76.73/48.56 tff(7259,plain,
% 76.73/48.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 76.73/48.56 tff(7260,plain,
% 76.73/48.56 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7259, 636, 7228])).
% 76.73/48.56 tff(7261,plain,
% 76.73/48.56 (v100(constB64) | (~v110(constB64))),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7260, 7253])).
% 76.73/48.56 tff(7262,plain,
% 76.73/48.56 (v100(constB64)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7261, 7236])).
% 76.73/48.56 tff(7263,plain,
% 76.73/48.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7264,plain,
% 76.73/48.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 76.73/48.56 inference(quant_inst,[status(thm)],[])).
% 76.73/48.56 tff(7265,plain,
% 76.73/48.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2))),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 76.73/48.56 tff(7266,plain,
% 76.73/48.56 (~v130(constB63, bitIndex2)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7265, 872, 7189])).
% 76.73/48.56 tff(7267,plain,
% 76.73/48.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7268,plain,
% 76.73/48.56 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7269,plain,
% 76.73/48.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)))),
% 76.73/48.56 inference(monotonicity,[status(thm)],[7268])).
% 76.73/48.56 tff(7270,plain,
% 76.73/48.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 76.73/48.56 inference(transitivity,[status(thm)],[7269, 7267])).
% 76.73/48.56 tff(7271,plain,
% 76.73/48.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 76.73/48.56 inference(quant_inst,[status(thm)],[])).
% 76.73/48.56 tff(7272,plain,
% 76.73/48.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7271, 7270])).
% 76.73/48.56 tff(7273,plain,
% 76.73/48.56 ((~v127(constB63, bitIndex2)) | v26(constB63)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7272, 430, 7266])).
% 76.73/48.56 tff(7274,plain,
% 76.73/48.56 (~v127(constB63, bitIndex2)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7273, 17])).
% 76.73/48.56 tff(7275,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7276,plain,
% 76.73/48.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 76.73/48.56 inference(quant_inst,[status(thm)],[])).
% 76.73/48.56 tff(7277,plain,
% 76.73/48.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 76.73/48.56 tff(7278,plain,
% 76.73/48.56 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7277, 451, 7228])).
% 76.73/48.56 tff(7279,plain,
% 76.73/48.56 (~v129(constB64, bitIndex2)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7278, 7274])).
% 76.73/48.56 tff(7280,plain,
% 76.73/48.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7281,plain,
% 76.73/48.56 (((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7282,plain,
% 76.73/48.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))))),
% 76.73/48.56 inference(monotonicity,[status(thm)],[7281])).
% 76.73/48.56 tff(7283,plain,
% 76.73/48.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 76.73/48.56 inference(transitivity,[status(thm)],[7282, 7280])).
% 76.73/48.56 tff(7284,plain,
% 76.73/48.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))),
% 76.73/48.56 inference(quant_inst,[status(thm)],[])).
% 76.73/48.56 tff(7285,plain,
% 76.73/48.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7284, 7283])).
% 76.73/48.56 tff(7286,plain,
% 76.73/48.56 ((~v90(constB64, bitIndex2)) | (~v100(constB64))),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7285, 655, 7279])).
% 76.73/48.56 tff(7287,plain,
% 76.73/48.56 (~v90(constB64, bitIndex2)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7286, 7262])).
% 76.73/48.56 tff(7288,plain,
% 76.73/48.56 ((~v1(constB65)) <=> (~v1(constB65))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7289,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 76.73/48.56 tff(7290,plain,
% 76.73/48.56 (~v1(constB65)),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 76.73/48.56 tff(7291,plain,
% 76.73/48.56 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7292,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 76.73/48.56 tff(7293,plain,
% 76.73/48.56 (nextState(constB64, constB65)),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7292, 7291])).
% 76.73/48.56 tff(7294,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7295,plain,
% 76.73/48.56 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7296,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 76.73/48.56 inference(monotonicity,[status(thm)],[7295])).
% 76.73/48.56 tff(7297,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 76.73/48.56 inference(transitivity,[status(thm)],[7296, 7294])).
% 76.73/48.56 tff(7298,plain,
% 76.73/48.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 76.73/48.56 inference(quant_inst,[status(thm)],[])).
% 76.73/48.56 tff(7299,plain,
% 76.73/48.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 76.73/48.56 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 76.73/48.56 tff(7300,plain,
% 76.73/48.56 (~v101(constB65)),
% 76.73/48.56 inference(unit_resolution,[status(thm)],[7299, 307, 7293, 7290])).
% 76.73/48.56 tff(7301,plain,
% 76.73/48.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 76.73/48.56 inference(rewrite,[status(thm)],[])).
% 76.73/48.56 tff(7302,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7303,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 76.73/48.57 tff(7304,plain,
% 76.73/48.57 (v101(constB65) | (~v100(constB65))),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7303, 324, 7293])).
% 76.73/48.57 tff(7305,plain,
% 76.73/48.57 (~v100(constB65)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7304, 7300])).
% 76.73/48.57 tff(7306,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7307,plain,
% 76.73/48.57 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7308,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))))),
% 76.73/48.57 inference(monotonicity,[status(thm)],[7307])).
% 76.73/48.57 tff(7309,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 76.73/48.57 inference(transitivity,[status(thm)],[7308, 7306])).
% 76.73/48.57 tff(7310,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7311,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 76.73/48.57 tff(7312,plain,
% 76.73/48.57 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7311, 339, 7293])).
% 76.73/48.57 tff(7313,plain,
% 76.73/48.57 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7312, 7305])).
% 76.73/48.57 tff(7314,plain,
% 76.73/48.57 (~v90(constB65, bitIndex2)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7313, 7287])).
% 76.73/48.57 tff(7315,plain,
% 76.73/48.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7316,plain,
% 76.73/48.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7317,plain,
% 76.73/48.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1)),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7316, 7315])).
% 76.73/48.57 tff(7318,plain,
% 76.73/48.57 (v130(constB63, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7317, 1017, 7189])).
% 76.73/48.57 tff(7319,plain,
% 76.73/48.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7320,plain,
% 76.73/48.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7321,plain,
% 76.73/48.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 76.73/48.57 tff(7322,plain,
% 76.73/48.57 (v26(constB63) | v127(constB63, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7321, 1031, 7318])).
% 76.73/48.57 tff(7323,plain,
% 76.73/48.57 (v127(constB63, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7322, 17])).
% 76.73/48.57 tff(7324,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7325,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7326,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 76.73/48.57 tff(7327,plain,
% 76.73/48.57 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7326, 1046, 7228])).
% 76.73/48.57 tff(7328,plain,
% 76.73/48.57 (v129(constB64, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7327, 7323])).
% 76.73/48.57 tff(7329,plain,
% 76.73/48.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7330,plain,
% 76.73/48.57 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7331,plain,
% 76.73/48.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 76.73/48.57 inference(monotonicity,[status(thm)],[7330])).
% 76.73/48.57 tff(7332,plain,
% 76.73/48.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 76.73/48.57 inference(transitivity,[status(thm)],[7331, 7329])).
% 76.73/48.57 tff(7333,plain,
% 76.73/48.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7334,plain,
% 76.73/48.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 76.73/48.57 tff(7335,plain,
% 76.73/48.57 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7334, 1061, 7328])).
% 76.73/48.57 tff(7336,plain,
% 76.73/48.57 (v90(constB64, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7335, 7262])).
% 76.73/48.57 tff(7337,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7338,plain,
% 76.73/48.57 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7339,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 76.73/48.57 inference(monotonicity,[status(thm)],[7338])).
% 76.73/48.57 tff(7340,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 76.73/48.57 inference(transitivity,[status(thm)],[7339, 7337])).
% 76.73/48.57 tff(7341,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7342,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 76.73/48.57 tff(7343,plain,
% 76.73/48.57 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7342, 1079, 7293])).
% 76.73/48.57 tff(7344,plain,
% 76.73/48.57 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7343, 7305])).
% 76.73/48.57 tff(7345,plain,
% 76.73/48.57 (v90(constB65, bitIndex1)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7344, 7336])).
% 76.73/48.57 tff(7346,plain,
% 76.73/48.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7347,plain,
% 76.73/48.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7348,plain,
% 76.73/48.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 76.73/48.57 tff(7349,plain,
% 76.73/48.57 (~v130(constB63, bitIndex0)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7348, 1098, 7189])).
% 76.73/48.57 tff(7350,plain,
% 76.73/48.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7351,plain,
% 76.73/48.57 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7352,plain,
% 76.73/48.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 76.73/48.57 inference(monotonicity,[status(thm)],[7351])).
% 76.73/48.57 tff(7353,plain,
% 76.73/48.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 76.73/48.57 inference(transitivity,[status(thm)],[7352, 7350])).
% 76.73/48.57 tff(7354,plain,
% 76.73/48.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7355,plain,
% 76.73/48.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 76.73/48.57 inference(modus_ponens,[status(thm)],[7354, 7353])).
% 76.73/48.57 tff(7356,plain,
% 76.73/48.57 ((~v127(constB63, bitIndex0)) | v26(constB63)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7355, 1112, 7349])).
% 76.73/48.57 tff(7357,plain,
% 76.73/48.57 (~v127(constB63, bitIndex0)),
% 76.73/48.57 inference(unit_resolution,[status(thm)],[7356, 17])).
% 76.73/48.57 tff(7358,plain,
% 76.73/48.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 76.73/48.57 inference(rewrite,[status(thm)],[])).
% 76.73/48.57 tff(7359,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 76.73/48.57 inference(quant_inst,[status(thm)],[])).
% 76.73/48.57 tff(7360,plain,
% 76.73/48.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 76.73/48.58 tff(7361,plain,
% 76.73/48.58 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7360, 1130, 7228])).
% 76.73/48.58 tff(7362,plain,
% 76.73/48.58 (~v129(constB64, bitIndex0)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7361, 7357])).
% 76.73/48.58 tff(7363,plain,
% 76.73/48.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7364,plain,
% 76.73/48.58 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7365,plain,
% 76.73/48.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 76.73/48.58 inference(monotonicity,[status(thm)],[7364])).
% 76.73/48.58 tff(7366,plain,
% 76.73/48.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 76.73/48.58 inference(transitivity,[status(thm)],[7365, 7363])).
% 76.73/48.58 tff(7367,plain,
% 76.73/48.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7368,plain,
% 76.73/48.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 76.73/48.58 tff(7369,plain,
% 76.73/48.58 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7368, 1145, 7362])).
% 76.73/48.58 tff(7370,plain,
% 76.73/48.58 (~v90(constB64, bitIndex0)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7369, 7262])).
% 76.73/48.58 tff(7371,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7372,plain,
% 76.73/48.58 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7373,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 76.73/48.58 inference(monotonicity,[status(thm)],[7372])).
% 76.73/48.58 tff(7374,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 76.73/48.58 inference(transitivity,[status(thm)],[7373, 7371])).
% 76.73/48.58 tff(7375,plain,
% 76.73/48.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7376,plain,
% 76.73/48.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7375, 7374])).
% 76.73/48.58 tff(7377,plain,
% 76.73/48.58 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7376, 381, 7293])).
% 76.73/48.58 tff(7378,plain,
% 76.73/48.58 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7377, 7305])).
% 76.73/48.58 tff(7379,plain,
% 76.73/48.58 (~v90(constB65, bitIndex0)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7378, 7370])).
% 76.73/48.58 tff(7380,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7381,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7382,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 76.73/48.58 tff(7383,plain,
% 76.73/48.58 (v121(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7382, 1172, 7379, 7345, 7314])).
% 76.73/48.58 tff(7384,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7385,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7386,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 76.73/48.58 tff(7387,plain,
% 76.73/48.58 (v117(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7386, 1183, 7383])).
% 76.73/48.58 tff(7388,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7389,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7390,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 76.73/48.58 tff(7391,plain,
% 76.73/48.58 (v116(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7390, 508, 7387])).
% 76.73/48.58 tff(7392,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7393,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7394,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7393, 7392])).
% 76.73/48.58 tff(7395,plain,
% 76.73/48.58 (v115(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7394, 519, 7391])).
% 76.73/48.58 tff(7396,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7397,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7398,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 76.73/48.58 tff(7399,plain,
% 76.73/48.58 (v114(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7398, 530, 7395])).
% 76.73/48.58 tff(7400,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7401,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7402,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 76.73/48.58 tff(7403,plain,
% 76.73/48.58 (v113(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7402, 541, 7399])).
% 76.73/48.58 tff(7404,assumption,(v26(constB65)), introduced(assumption)).
% 76.73/48.58 tff(7405,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7406,plain,
% 76.73/48.58 ($false),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7405, 14, 7404])).
% 76.73/48.58 tff(7407,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 76.73/48.58 tff(7408,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7409,plain,
% 76.73/48.58 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7410,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65))))),
% 76.73/48.58 inference(monotonicity,[status(thm)],[7409])).
% 76.73/48.58 tff(7411,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 76.73/48.58 inference(transitivity,[status(thm)],[7410, 7408])).
% 76.73/48.58 tff(7412,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7413,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7412, 7411])).
% 76.73/48.58 tff(7414,plain,
% 76.73/48.58 (v112(constB65) | (~v113(constB65))),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7413, 555, 7407])).
% 76.73/48.58 tff(7415,plain,
% 76.73/48.58 (v112(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7414, 7403])).
% 76.73/48.58 tff(7416,plain,
% 76.73/48.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7417,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7418,plain,
% 76.73/48.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 76.73/48.58 tff(7419,plain,
% 76.73/48.58 (v108(constB65)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7418, 464, 7415])).
% 76.73/48.58 tff(7420,plain,
% 76.73/48.58 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7421,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 76.73/48.58 tff(7422,plain,
% 76.73/48.58 (nextState(constB65, constB66)),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 76.73/48.58 tff(7423,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7424,plain,
% 76.73/48.58 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7425,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 76.73/48.58 inference(monotonicity,[status(thm)],[7424])).
% 76.73/48.58 tff(7426,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 76.73/48.58 inference(transitivity,[status(thm)],[7425, 7423])).
% 76.73/48.58 tff(7427,plain,
% 76.73/48.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 76.73/48.58 inference(quant_inst,[status(thm)],[])).
% 76.73/48.58 tff(7428,plain,
% 76.73/48.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 76.73/48.58 inference(modus_ponens,[status(thm)],[7427, 7426])).
% 76.73/48.58 tff(7429,plain,
% 76.73/48.58 (v110(constB66) | (~v108(constB65))),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7428, 571, 7422])).
% 76.73/48.58 tff(7430,plain,
% 76.73/48.58 (v110(constB66)),
% 76.73/48.58 inference(unit_resolution,[status(thm)],[7429, 7419])).
% 76.73/48.58 tff(7431,plain,
% 76.73/48.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 76.73/48.58 inference(rewrite,[status(thm)],[])).
% 76.73/48.58 tff(7432,plain,
% 76.73/48.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7433,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 76.73/48.59 tff(7434,plain,
% 76.73/48.59 (~v104(constB66)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7433, 589, 7422, 7290])).
% 76.73/48.59 tff(7435,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7436,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7437,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 76.73/48.59 tff(7438,plain,
% 76.73/48.59 (v102(constB66) | v104(constB66)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7437, 603, 7422])).
% 76.73/48.59 tff(7439,plain,
% 76.73/48.59 (v102(constB66)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7438, 7434])).
% 76.73/48.59 tff(7440,plain,
% 76.73/48.59 (v1(constB66) <=> v1(constB66)),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7441,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 76.73/48.59 tff(7442,plain,
% 76.73/48.59 (v1(constB66)),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7441, 7440])).
% 76.73/48.59 tff(7443,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7444,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7445,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 76.73/48.59 tff(7446,plain,
% 76.73/48.59 (v101(constB66) | (~v102(constB66))),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7445, 621, 7422, 7442])).
% 76.73/48.59 tff(7447,plain,
% 76.73/48.59 (v101(constB66)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7446, 7439])).
% 76.73/48.59 tff(7448,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7449,plain,
% 76.73/48.59 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7450,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 76.73/48.59 inference(monotonicity,[status(thm)],[7449])).
% 76.73/48.59 tff(7451,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 76.73/48.59 inference(transitivity,[status(thm)],[7450, 7448])).
% 76.73/48.59 tff(7452,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7453,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 76.73/48.59 tff(7454,plain,
% 76.73/48.59 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7453, 636, 7422])).
% 76.73/48.59 tff(7455,plain,
% 76.73/48.59 (v100(constB66) | (~v110(constB66))),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7454, 7447])).
% 76.73/48.59 tff(7456,plain,
% 76.73/48.59 (v100(constB66)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7455, 7430])).
% 76.73/48.59 tff(7457,plain,
% 76.73/48.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7458,plain,
% 76.73/48.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7459,plain,
% 76.73/48.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1)),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 76.73/48.59 tff(7460,plain,
% 76.73/48.59 (v130(constB65, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7459, 1321, 7383])).
% 76.73/48.59 tff(7461,plain,
% 76.73/48.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7462,plain,
% 76.73/48.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7463,plain,
% 76.73/48.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 76.73/48.59 tff(7464,plain,
% 76.73/48.59 ((~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7463, 1031, 7407])).
% 76.73/48.59 tff(7465,plain,
% 76.73/48.59 (v127(constB65, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7464, 7460])).
% 76.73/48.59 tff(7466,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7467,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7468,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 76.73/48.59 tff(7469,plain,
% 76.73/48.59 ((~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7468, 1046, 7422])).
% 76.73/48.59 tff(7470,plain,
% 76.73/48.59 (v129(constB66, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7469, 7465])).
% 76.73/48.59 tff(7471,plain,
% 76.73/48.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7472,plain,
% 76.73/48.59 ((v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7473,plain,
% 76.73/48.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))))),
% 76.73/48.59 inference(monotonicity,[status(thm)],[7472])).
% 76.73/48.59 tff(7474,plain,
% 76.73/48.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 76.73/48.59 inference(transitivity,[status(thm)],[7473, 7471])).
% 76.73/48.59 tff(7475,plain,
% 76.73/48.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7476,plain,
% 76.73/48.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 76.73/48.59 tff(7477,plain,
% 76.73/48.59 (v90(constB66, bitIndex1) | (~v100(constB66))),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7476, 1061, 7470])).
% 76.73/48.59 tff(7478,plain,
% 76.73/48.59 (v90(constB66, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7477, 7456])).
% 76.73/48.59 tff(7479,assumption,(v90(constB66, bitIndex1)), introduced(assumption)).
% 76.73/48.59 tff(7480,assumption,(~v90(constB65, bitIndex0)), introduced(assumption)).
% 76.73/48.59 tff(7481,plain,
% 76.73/48.59 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v124(VarCurr))))),
% 76.73/48.59 inference(bind,[status(th)],[])).
% 76.73/48.59 tff(7482,plain,
% 76.73/48.59 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 76.73/48.59 inference(quant_intro,[status(thm)],[7481])).
% 76.73/48.59 tff(7483,plain,
% 76.73/48.59 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7484,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 76.73/48.59 tff(7485,plain,
% 76.73/48.59 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 76.73/48.59 tff(7486,plain,(
% 76.73/48.59 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 76.73/48.59 inference(skolemize,[status(sab)],[7485])).
% 76.73/48.59 tff(7487,plain,
% 76.73/48.59 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7486, 7482])).
% 76.73/48.59 tff(7488,plain,
% 76.73/48.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB65, bitIndex0) | (~v124(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB65, bitIndex0) | (~v124(constB65)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7489,plain,
% 76.73/48.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB65, bitIndex0) | (~v124(constB65)))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7490,plain,
% 76.73/48.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB65, bitIndex0) | (~v124(constB65))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 76.73/48.59 tff(7491,plain,
% 76.73/48.59 (~v124(constB65)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7490, 7487, 7480])).
% 76.73/48.59 tff(7492,assumption,(v100(constB66)), introduced(assumption)).
% 76.73/48.59 tff(7493,plain,
% 76.73/48.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7494,plain,
% 76.73/48.59 (((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7495,plain,
% 76.73/48.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))))),
% 76.73/48.59 inference(monotonicity,[status(thm)],[7494])).
% 76.73/48.59 tff(7496,plain,
% 76.73/48.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 76.73/48.59 inference(transitivity,[status(thm)],[7495, 7493])).
% 76.73/48.59 tff(7497,plain,
% 76.73/48.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))),
% 76.73/48.59 inference(quant_inst,[status(thm)],[])).
% 76.73/48.59 tff(7498,plain,
% 76.73/48.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))),
% 76.73/48.59 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 76.73/48.59 tff(7499,plain,
% 76.73/48.59 (v129(constB66, bitIndex1) | (~v100(constB66))),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7498, 747, 7479])).
% 76.73/48.59 tff(7500,plain,
% 76.73/48.59 (v129(constB66, bitIndex1)),
% 76.73/48.59 inference(unit_resolution,[status(thm)],[7499, 7492])).
% 76.73/48.59 tff(7501,plain,
% 76.73/48.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 76.73/48.59 inference(rewrite,[status(thm)],[])).
% 76.73/48.59 tff(7502,plain,
% 76.73/48.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7503,plain,
% 76.73/48.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7502, 7501])).
% 76.73/48.60 tff(7504,plain,
% 76.73/48.60 (v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7503, 732, 7422])).
% 76.73/48.60 tff(7505,plain,
% 76.73/48.60 (v127(constB65, bitIndex1)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7504, 7500])).
% 76.73/48.60 tff(7506,plain,
% 76.73/48.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7507,plain,
% 76.73/48.60 ((v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1))) <=> ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7508,plain,
% 76.73/48.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(monotonicity,[status(thm)],[7507])).
% 76.73/48.60 tff(7509,plain,
% 76.73/48.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 76.73/48.60 inference(transitivity,[status(thm)],[7508, 7506])).
% 76.73/48.60 tff(7510,plain,
% 76.73/48.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7511,plain,
% 76.73/48.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7510, 7509])).
% 76.73/48.60 tff(7512,plain,
% 76.73/48.60 ((~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7511, 714, 7407])).
% 76.73/48.60 tff(7513,plain,
% 76.73/48.60 (v130(constB65, bitIndex1)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7512, 7505])).
% 76.73/48.60 tff(7514,plain,
% 76.73/48.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB65)) | (~v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7515,plain,
% 76.73/48.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7516,plain,
% 76.73/48.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB65)) | (~v130(constB65, bitIndex1))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 76.73/48.60 tff(7517,plain,
% 76.73/48.60 (~v122(constB65)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7516, 1594, 7513])).
% 76.73/48.60 tff(7518,plain,
% 76.73/48.60 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v120(VarCurr))))),
% 76.73/48.60 inference(bind,[status(th)],[])).
% 76.73/48.60 tff(7519,plain,
% 76.73/48.60 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 76.73/48.60 inference(quant_intro,[status(thm)],[7518])).
% 76.73/48.60 tff(7520,plain,
% 76.73/48.60 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7521,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 76.73/48.60 tff(7522,plain,
% 76.73/48.60 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 76.73/48.60 tff(7523,plain,(
% 76.73/48.60 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 76.73/48.60 inference(skolemize,[status(sab)],[7522])).
% 76.73/48.60 tff(7524,plain,
% 76.73/48.60 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7523, 7519])).
% 76.73/48.60 tff(7525,plain,
% 76.73/48.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB65, bitIndex0) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB65, bitIndex0) | (~v120(constB65)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7526,plain,
% 76.73/48.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB65, bitIndex0) | (~v120(constB65)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7527,plain,
% 76.73/48.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB65, bitIndex0) | (~v120(constB65))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7526, 7525])).
% 76.73/48.60 tff(7528,plain,
% 76.73/48.60 (~v120(constB65)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7527, 7524, 7480])).
% 76.73/48.60 tff(7529,plain,
% 76.73/48.60 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7530,plain,
% 76.73/48.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7531,plain,
% 76.73/48.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v130(constB65, bitIndex1))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 76.73/48.60 tff(7532,plain,
% 76.73/48.60 (~v119(constB65)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7531, 700, 7513])).
% 76.73/48.60 tff(7533,assumption,(~v90(constB66, bitIndex0)), introduced(assumption)).
% 76.73/48.60 tff(7534,plain,
% 76.73/48.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7535,plain,
% 76.73/48.60 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7536,plain,
% 76.73/48.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 76.73/48.60 inference(monotonicity,[status(thm)],[7535])).
% 76.73/48.60 tff(7537,plain,
% 76.73/48.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 76.73/48.60 inference(transitivity,[status(thm)],[7536, 7534])).
% 76.73/48.60 tff(7538,plain,
% 76.73/48.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7539,plain,
% 76.73/48.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 76.73/48.60 tff(7540,plain,
% 76.73/48.60 ((~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7539, 818, 7533])).
% 76.73/48.60 tff(7541,plain,
% 76.73/48.60 (~v129(constB66, bitIndex0)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7540, 7492])).
% 76.73/48.60 tff(7542,plain,
% 76.73/48.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7543,plain,
% 76.73/48.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7544,plain,
% 76.73/48.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 76.73/48.60 tff(7545,plain,
% 76.73/48.60 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7544, 803, 7422])).
% 76.73/48.60 tff(7546,plain,
% 76.73/48.60 (~v127(constB65, bitIndex0)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7545, 7541])).
% 76.73/48.60 tff(7547,plain,
% 76.73/48.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7548,plain,
% 76.73/48.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7549,plain,
% 76.73/48.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 76.73/48.60 tff(7550,plain,
% 76.73/48.60 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7549, 788, 7407])).
% 76.73/48.60 tff(7551,plain,
% 76.73/48.60 (~v130(constB65, bitIndex0)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7550, 7546])).
% 76.73/48.60 tff(7552,plain,
% 76.73/48.60 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(rewrite,[status(thm)],[])).
% 76.73/48.60 tff(7553,plain,
% 76.73/48.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex1)))),
% 76.73/48.60 inference(quant_inst,[status(thm)],[])).
% 76.73/48.60 tff(7554,plain,
% 76.73/48.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v130(constB65, bitIndex1))),
% 76.73/48.60 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 76.73/48.60 tff(7555,plain,
% 76.73/48.60 (~v123(constB65)),
% 76.73/48.60 inference(unit_resolution,[status(thm)],[7554, 1765, 7513])).
% 76.73/48.60 tff(7556,plain,
% 76.73/48.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7557,plain,
% 76.73/48.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7558,plain,
% 76.73/48.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 76.73/48.61 tff(7559,plain,
% 76.73/48.61 (~v121(constB65)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7558, 1362, 7551])).
% 76.73/48.61 tff(7560,assumption,(~v120(constB65)), introduced(assumption)).
% 76.73/48.61 tff(7561,assumption,(~v122(constB65)), introduced(assumption)).
% 76.73/48.61 tff(7562,assumption,(~v124(constB65)), introduced(assumption)).
% 76.73/48.61 tff(7563,plain,
% 76.73/48.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7564,plain,
% 76.73/48.61 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0)) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7565,plain,
% 76.73/48.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0)))),
% 76.73/48.61 inference(monotonicity,[status(thm)],[7564])).
% 76.73/48.61 tff(7566,plain,
% 76.73/48.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 76.73/48.61 inference(transitivity,[status(thm)],[7565, 7563])).
% 76.73/48.61 tff(7567,plain,
% 76.73/48.61 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7568,plain,
% 76.73/48.61 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 76.73/48.61 tff(7569,plain,
% 76.73/48.61 (v123(constB65) | v121(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7568, 2402, 7562, 7561, 7560])).
% 76.73/48.61 tff(7570,plain,
% 76.73/48.61 ($false),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7569, 7559, 7555, 7551, 7532])).
% 76.73/48.61 tff(7571,plain,((~v100(constB66)) | v124(constB65) | v122(constB65) | v120(constB65) | v90(constB66, bitIndex0) | (~v90(constB66, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 76.73/48.61 tff(7572,plain,
% 76.73/48.61 (v90(constB66, bitIndex0)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7571, 7528, 7479, 7492, 7517, 7491])).
% 76.73/48.61 tff(7573,assumption,(v90(constB66, bitIndex0)), introduced(assumption)).
% 76.73/48.61 tff(7574,plain,
% 76.73/48.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7575,plain,
% 76.73/48.61 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))) <=> (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7576,plain,
% 76.73/48.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))))),
% 76.73/48.61 inference(monotonicity,[status(thm)],[7575])).
% 76.73/48.61 tff(7577,plain,
% 76.73/48.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 76.73/48.61 inference(transitivity,[status(thm)],[7576, 7574])).
% 76.73/48.61 tff(7578,plain,
% 76.73/48.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7579,plain,
% 76.73/48.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7578, 7577])).
% 76.73/48.61 tff(7580,plain,
% 76.73/48.61 (v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7579, 381, 7422])).
% 76.73/48.61 tff(7581,plain,
% 76.73/48.61 (v100(constB66)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7580, 7480, 7573])).
% 76.73/48.61 tff(7582,plain,
% 76.73/48.61 (v129(constB66, bitIndex1)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7499, 7581])).
% 76.73/48.61 tff(7583,plain,
% 76.73/48.61 (v127(constB65, bitIndex1)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7504, 7582])).
% 76.73/48.61 tff(7584,plain,
% 76.73/48.61 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 76.73/48.61 inference(bind,[status(th)],[])).
% 76.73/48.61 tff(7585,plain,
% 76.73/48.61 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(quant_intro,[status(thm)],[7584])).
% 76.73/48.61 tff(7586,plain,
% 76.73/48.61 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7587,plain,
% 76.73/48.61 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 76.73/48.61 inference(bind,[status(th)],[])).
% 76.73/48.61 tff(7588,plain,
% 76.73/48.61 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(quant_intro,[status(thm)],[7587])).
% 76.73/48.61 tff(7589,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 76.73/48.61 tff(7590,plain,
% 76.73/48.61 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 76.73/48.61 tff(7591,plain,
% 76.73/48.61 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7590, 7586])).
% 76.73/48.61 tff(7592,plain,(
% 76.73/48.61 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(skolemize,[status(sab)],[7591])).
% 76.73/48.61 tff(7593,plain,
% 76.73/48.61 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7592, 7585])).
% 76.73/48.61 tff(7594,plain,
% 76.73/48.61 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB65)) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB65)) | (~v127(constB65, bitIndex1)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7595,plain,
% 76.73/48.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB65)) | (~v127(constB65, bitIndex1)))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7596,plain,
% 76.73/48.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB65)) | (~v127(constB65, bitIndex1))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7595, 7594])).
% 76.73/48.61 tff(7597,plain,
% 76.73/48.61 (~v26(constB65)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7596, 7593, 7583])).
% 76.73/48.61 tff(7598,plain,
% 76.73/48.61 (v130(constB65, bitIndex1)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7511, 714, 7583, 7597])).
% 76.73/48.61 tff(7599,plain,
% 76.73/48.61 (~v119(constB65)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7531, 700, 7598])).
% 76.73/48.61 tff(7600,plain,
% 76.73/48.61 (~v123(constB65)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7554, 1765, 7598])).
% 76.73/48.61 tff(7601,assumption,(v90(constB66, bitIndex2)), introduced(assumption)).
% 76.73/48.61 tff(7602,plain,
% 76.73/48.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7603,plain,
% 76.73/48.61 (((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7604,plain,
% 76.73/48.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))))),
% 76.73/48.61 inference(monotonicity,[status(thm)],[7603])).
% 76.73/48.61 tff(7605,plain,
% 76.73/48.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 76.73/48.61 inference(transitivity,[status(thm)],[7604, 7602])).
% 76.73/48.61 tff(7606,plain,
% 76.73/48.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7607,plain,
% 76.73/48.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 76.73/48.61 tff(7608,plain,
% 76.73/48.61 (v129(constB66, bitIndex2) | (~v100(constB66))),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7607, 655, 7601])).
% 76.73/48.61 tff(7609,plain,
% 76.73/48.61 (v129(constB66, bitIndex2)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7608, 7581])).
% 76.73/48.61 tff(7610,plain,
% 76.73/48.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7611,plain,
% 76.73/48.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7612,plain,
% 76.73/48.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 76.73/48.61 tff(7613,plain,
% 76.73/48.61 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7612, 451, 7422])).
% 76.73/48.61 tff(7614,plain,
% 76.73/48.61 (v127(constB65, bitIndex2)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7613, 7609])).
% 76.73/48.61 tff(7615,plain,
% 76.73/48.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7616,plain,
% 76.73/48.61 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 76.73/48.61 inference(rewrite,[status(thm)],[])).
% 76.73/48.61 tff(7617,plain,
% 76.73/48.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 76.73/48.61 inference(monotonicity,[status(thm)],[7616])).
% 76.73/48.61 tff(7618,plain,
% 76.73/48.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 76.73/48.61 inference(transitivity,[status(thm)],[7617, 7615])).
% 76.73/48.61 tff(7619,plain,
% 76.73/48.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 76.73/48.61 inference(quant_inst,[status(thm)],[])).
% 76.73/48.61 tff(7620,plain,
% 76.73/48.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 76.73/48.61 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 76.73/48.61 tff(7621,plain,
% 76.73/48.61 (v130(constB65, bitIndex2)),
% 76.73/48.61 inference(unit_resolution,[status(thm)],[7620, 430, 7614, 7597])).
% 76.73/48.61 tff(7622,plain,
% 76.73/48.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 76.73/48.62 inference(rewrite,[status(thm)],[])).
% 76.73/48.62 tff(7623,plain,
% 76.73/48.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 76.73/48.62 inference(quant_inst,[status(thm)],[])).
% 76.73/48.62 tff(7624,plain,
% 76.73/48.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 76.73/48.62 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 76.73/48.62 tff(7625,plain,
% 76.73/48.62 (~v121(constB65)),
% 76.73/48.62 inference(unit_resolution,[status(thm)],[7624, 1259, 7621])).
% 76.73/48.62 tff(7626,plain,
% 76.73/48.62 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v122(VarCurr))))),
% 76.73/48.62 inference(bind,[status(th)],[])).
% 76.73/48.62 tff(7627,plain,
% 76.73/48.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 76.73/48.62 inference(quant_intro,[status(thm)],[7626])).
% 76.73/48.62 tff(7628,plain,
% 76.73/48.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 76.73/48.62 inference(rewrite,[status(thm)],[])).
% 76.73/48.62 tff(7629,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 76.73/48.62 tff(7630,plain,
% 76.73/48.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 76.73/48.62 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 76.73/48.62 tff(7631,plain,(
% 76.73/48.62 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 76.73/48.62 inference(skolemize,[status(sab)],[7630])).
% 76.73/48.62 tff(7632,plain,
% 76.73/48.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 76.73/48.62 inference(modus_ponens,[status(thm)],[7631, 7627])).
% 76.73/48.62 tff(7633,plain,
% 76.73/48.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB65, bitIndex0) | (~v122(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB65, bitIndex0) | (~v122(constB65)))),
% 76.73/48.62 inference(rewrite,[status(thm)],[])).
% 76.73/48.62 tff(7634,plain,
% 76.73/48.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB65, bitIndex0) | (~v122(constB65)))),
% 76.73/48.62 inference(quant_inst,[status(thm)],[])).
% 76.73/48.62 tff(7635,plain,
% 76.73/48.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB65, bitIndex0) | (~v122(constB65))),
% 76.73/48.62 inference(modus_ponens,[status(thm)],[7634, 7633])).
% 76.73/48.62 tff(7636,plain,
% 76.73/48.62 (~v122(constB65)),
% 76.73/48.62 inference(unit_resolution,[status(thm)],[7635, 7632, 7480])).
% 76.73/48.62 tff(7637,plain,
% 76.73/48.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))),
% 76.73/48.62 inference(rewrite,[status(thm)],[])).
% 76.73/48.62 tff(7638,plain,
% 76.73/48.62 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1))) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))),
% 76.73/48.62 inference(rewrite,[status(thm)],[])).
% 76.73/48.62 tff(7639,plain,
% 76.73/48.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1))))),
% 76.82/48.62 inference(monotonicity,[status(thm)],[7638])).
% 76.82/48.62 tff(7640,plain,
% 76.82/48.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1)))),
% 76.82/48.62 inference(transitivity,[status(thm)],[7639, 7637])).
% 76.82/48.62 tff(7641,plain,
% 76.82/48.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 76.82/48.62 inference(quant_inst,[status(thm)],[])).
% 76.82/48.62 tff(7642,plain,
% 76.82/48.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~v130(constB65, bitIndex1))),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 76.82/48.62 tff(7643,plain,
% 76.82/48.62 (v123(constB65) | v121(constB65) | v119(constB65)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7642, 2355, 7598, 7491, 7636, 7528])).
% 76.82/48.62 tff(7644,plain,
% 76.82/48.62 ($false),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7643, 7625, 7600, 7599])).
% 76.82/48.62 tff(7645,plain,(v90(constB65, bitIndex0) | (~v90(constB66, bitIndex2)) | (~v90(constB66, bitIndex1)) | (~v90(constB66, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 76.82/48.62 tff(7646,plain,
% 76.82/48.62 (~v90(constB66, bitIndex2)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7645, 7572, 7480, 7479])).
% 76.82/48.62 tff(7647,assumption,(~v122(constB67)), introduced(assumption)).
% 76.82/48.62 tff(7648,plain,
% 76.82/48.62 ((~v1(constB67)) <=> (~v1(constB67))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7649,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 76.82/48.62 tff(7650,plain,
% 76.82/48.62 (~v1(constB67)),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 76.82/48.62 tff(7651,plain,
% 76.82/48.62 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7652,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 76.82/48.62 tff(7653,plain,
% 76.82/48.62 (nextState(constB66, constB67)),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 76.82/48.62 tff(7654,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7655,plain,
% 76.82/48.62 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7656,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 76.82/48.62 inference(monotonicity,[status(thm)],[7655])).
% 76.82/48.62 tff(7657,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 76.82/48.62 inference(transitivity,[status(thm)],[7656, 7654])).
% 76.82/48.62 tff(7658,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 76.82/48.62 inference(quant_inst,[status(thm)],[])).
% 76.82/48.62 tff(7659,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 76.82/48.62 tff(7660,plain,
% 76.82/48.62 (~v101(constB67)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7659, 307, 7653, 7650])).
% 76.82/48.62 tff(7661,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7662,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 76.82/48.62 inference(quant_inst,[status(thm)],[])).
% 76.82/48.62 tff(7663,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 76.82/48.62 tff(7664,plain,
% 76.82/48.62 (v101(constB67) | (~v100(constB67))),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7663, 324, 7653])).
% 76.82/48.62 tff(7665,plain,
% 76.82/48.62 (~v100(constB67)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7664, 7660])).
% 76.82/48.62 tff(7666,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7667,plain,
% 76.82/48.62 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7668,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 76.82/48.62 inference(monotonicity,[status(thm)],[7667])).
% 76.82/48.62 tff(7669,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 76.82/48.62 inference(transitivity,[status(thm)],[7668, 7666])).
% 76.82/48.62 tff(7670,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 76.82/48.62 inference(quant_inst,[status(thm)],[])).
% 76.82/48.62 tff(7671,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7670, 7669])).
% 76.82/48.62 tff(7672,plain,
% 76.82/48.62 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7671, 836, 7653])).
% 76.82/48.62 tff(7673,plain,
% 76.82/48.62 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7672, 7665])).
% 76.82/48.62 tff(7674,plain,
% 76.82/48.62 (v90(constB67, bitIndex0)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7673, 7572])).
% 76.82/48.62 tff(7675,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7676,plain,
% 76.82/48.62 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 76.82/48.62 inference(rewrite,[status(thm)],[])).
% 76.82/48.62 tff(7677,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)))),
% 76.82/48.62 inference(monotonicity,[status(thm)],[7676])).
% 76.82/48.62 tff(7678,plain,
% 76.82/48.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 76.82/48.62 inference(transitivity,[status(thm)],[7677, 7675])).
% 76.82/48.62 tff(7679,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))),
% 76.82/48.62 inference(quant_inst,[status(thm)],[])).
% 76.82/48.62 tff(7680,plain,
% 76.82/48.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)),
% 76.82/48.62 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 76.82/48.62 tff(7681,plain,
% 76.82/48.62 ((~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7680, 1079, 7653])).
% 76.82/48.62 tff(7682,plain,
% 76.82/48.62 ((~v90(constB66, bitIndex1)) | v90(constB67, bitIndex1)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7681, 7665])).
% 76.82/48.62 tff(7683,plain,
% 76.82/48.62 (v90(constB67, bitIndex1)),
% 76.82/48.62 inference(unit_resolution,[status(thm)],[7682, 7479])).
% 76.82/48.62 tff(7684,plain,
% 76.82/48.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7685,plain,
% 76.82/48.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7686,plain,
% 76.82/48.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67)),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 76.82/48.63 tff(7687,plain,
% 76.82/48.63 ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex2) | v122(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7686, 1403, 7683])).
% 76.82/48.63 tff(7688,plain,
% 76.82/48.63 (v90(constB67, bitIndex2)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7687, 7674, 7647])).
% 76.82/48.63 tff(7689,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7690,plain,
% 76.82/48.63 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7691,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 76.82/48.63 inference(monotonicity,[status(thm)],[7690])).
% 76.82/48.63 tff(7692,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 76.82/48.63 inference(transitivity,[status(thm)],[7691, 7689])).
% 76.82/48.63 tff(7693,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7694,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 76.82/48.63 tff(7695,plain,
% 76.82/48.63 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7694, 339, 7653])).
% 76.82/48.63 tff(7696,plain,
% 76.82/48.63 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7695, 7665])).
% 76.82/48.63 tff(7697,plain,
% 76.82/48.63 ($false),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7696, 7688, 7646])).
% 76.82/48.63 tff(7698,plain,(v90(constB65, bitIndex0) | v122(constB67) | (~v90(constB66, bitIndex1)) | (~v100(constB66))), inference(lemma,lemma(discharge,[]))).
% 76.82/48.63 tff(7699,plain,
% 76.82/48.63 (v122(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7698, 7478, 7379, 7456])).
% 76.82/48.63 tff(7700,assumption,(v122(constB67)), introduced(assumption)).
% 76.82/48.63 tff(7701,plain,
% 76.82/48.63 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7702,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7703,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 76.82/48.63 tff(7704,plain,
% 76.82/48.63 (v116(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7703, 1470, 7700])).
% 76.82/48.63 tff(7705,plain,
% 76.82/48.63 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7706,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7707,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 76.82/48.63 tff(7708,plain,
% 76.82/48.63 (v115(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7707, 519, 7704])).
% 76.82/48.63 tff(7709,plain,
% 76.82/48.63 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7710,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7711,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 76.82/48.63 tff(7712,plain,
% 76.82/48.63 (v114(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7711, 530, 7708])).
% 76.82/48.63 tff(7713,plain,
% 76.82/48.63 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7714,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7715,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7714, 7713])).
% 76.82/48.63 tff(7716,plain,
% 76.82/48.63 (v113(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7715, 541, 7712])).
% 76.82/48.63 tff(7717,assumption,(v26(constB67)), introduced(assumption)).
% 76.82/48.63 tff(7718,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7719,plain,
% 76.82/48.63 ($false),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7718, 14, 7717])).
% 76.82/48.63 tff(7720,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 76.82/48.63 tff(7721,plain,
% 76.82/48.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7722,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7723,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | (~v113(constB67)) | v112(constB67)),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 76.82/48.63 tff(7724,plain,
% 76.82/48.63 ((~v113(constB67)) | v112(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7723, 555, 7720])).
% 76.82/48.63 tff(7725,plain,
% 76.82/48.63 (v112(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7724, 7716])).
% 76.82/48.63 tff(7726,plain,
% 76.82/48.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7727,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7728,plain,
% 76.82/48.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 76.82/48.63 tff(7729,plain,
% 76.82/48.63 (v108(constB67)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7728, 464, 7725])).
% 76.82/48.63 tff(7730,plain,
% 76.82/48.63 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7731,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 76.82/48.63 tff(7732,plain,
% 76.82/48.63 (nextState(constB67, constB68)),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7731, 7730])).
% 76.82/48.63 tff(7733,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7734,plain,
% 76.82/48.63 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7735,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 76.82/48.63 inference(monotonicity,[status(thm)],[7734])).
% 76.82/48.63 tff(7736,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 76.82/48.63 inference(transitivity,[status(thm)],[7735, 7733])).
% 76.82/48.63 tff(7737,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7738,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 76.82/48.63 tff(7739,plain,
% 76.82/48.63 (v110(constB68) | (~v108(constB67))),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7738, 571, 7732])).
% 76.82/48.63 tff(7740,plain,
% 76.82/48.63 (v110(constB68)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7739, 7729])).
% 76.82/48.63 tff(7741,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7742,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7743,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 76.82/48.63 tff(7744,plain,
% 76.82/48.63 (~v104(constB68)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7743, 589, 7732, 7650])).
% 76.82/48.63 tff(7745,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7746,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7747,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 76.82/48.63 tff(7748,plain,
% 76.82/48.63 (v102(constB68) | v104(constB68)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7747, 603, 7732])).
% 76.82/48.63 tff(7749,plain,
% 76.82/48.63 (v102(constB68)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7748, 7744])).
% 76.82/48.63 tff(7750,plain,
% 76.82/48.63 (v1(constB68) <=> v1(constB68)),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7751,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 76.82/48.63 tff(7752,plain,
% 76.82/48.63 (v1(constB68)),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 76.82/48.63 tff(7753,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7754,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 76.82/48.63 inference(quant_inst,[status(thm)],[])).
% 76.82/48.63 tff(7755,plain,
% 76.82/48.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 76.82/48.63 inference(modus_ponens,[status(thm)],[7754, 7753])).
% 76.82/48.63 tff(7756,plain,
% 76.82/48.63 (v101(constB68) | (~v102(constB68))),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7755, 621, 7732, 7752])).
% 76.82/48.63 tff(7757,plain,
% 76.82/48.63 (v101(constB68)),
% 76.82/48.63 inference(unit_resolution,[status(thm)],[7756, 7749])).
% 76.82/48.63 tff(7758,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7759,plain,
% 76.82/48.63 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 76.82/48.63 inference(rewrite,[status(thm)],[])).
% 76.82/48.63 tff(7760,plain,
% 76.82/48.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 76.82/48.64 inference(monotonicity,[status(thm)],[7759])).
% 76.82/48.64 tff(7761,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 76.82/48.64 inference(transitivity,[status(thm)],[7760, 7758])).
% 76.82/48.64 tff(7762,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7763,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7762, 7761])).
% 76.82/48.64 tff(7764,plain,
% 76.82/48.64 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7763, 636, 7732])).
% 76.82/48.64 tff(7765,plain,
% 76.82/48.64 (v100(constB68) | (~v110(constB68))),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7764, 7757])).
% 76.82/48.64 tff(7766,plain,
% 76.82/48.64 (v100(constB68)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7765, 7740])).
% 76.82/48.64 tff(7767,plain,
% 76.82/48.64 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7768,plain,
% 76.82/48.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7769,plain,
% 76.82/48.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2)),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 76.82/48.64 tff(7770,plain,
% 76.82/48.64 (v130(constB67, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7769, 1417, 7700])).
% 76.82/48.64 tff(7771,plain,
% 76.82/48.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7772,plain,
% 76.82/48.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7773,plain,
% 76.82/48.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 76.82/48.64 tff(7774,plain,
% 76.82/48.64 ((~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7773, 1431, 7720])).
% 76.82/48.64 tff(7775,plain,
% 76.82/48.64 (v127(constB67, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7774, 7770])).
% 76.82/48.64 tff(7776,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7777,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7778,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7777, 7776])).
% 76.82/48.64 tff(7779,plain,
% 76.82/48.64 ((~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7778, 1449, 7732])).
% 76.82/48.64 tff(7780,plain,
% 76.82/48.64 (v129(constB68, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7779, 7775])).
% 76.82/48.64 tff(7781,plain,
% 76.82/48.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7782,plain,
% 76.82/48.64 ((v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7783,plain,
% 76.82/48.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))))),
% 76.82/48.64 inference(monotonicity,[status(thm)],[7782])).
% 76.82/48.64 tff(7784,plain,
% 76.82/48.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 76.82/48.64 inference(transitivity,[status(thm)],[7783, 7781])).
% 76.82/48.64 tff(7785,plain,
% 76.82/48.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7786,plain,
% 76.82/48.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 76.82/48.64 tff(7787,plain,
% 76.82/48.64 (v90(constB68, bitIndex2) | (~v100(constB68))),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7786, 1539, 7780])).
% 76.82/48.64 tff(7788,plain,
% 76.82/48.64 (v90(constB68, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7787, 7766])).
% 76.82/48.64 tff(7789,plain,
% 76.82/48.64 ((~v1(constB69)) <=> (~v1(constB69))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7790,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 76.82/48.64 tff(7791,plain,
% 76.82/48.64 (~v1(constB69)),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 76.82/48.64 tff(7792,plain,
% 76.82/48.64 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7793,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 76.82/48.64 tff(7794,plain,
% 76.82/48.64 (nextState(constB68, constB69)),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7793, 7792])).
% 76.82/48.64 tff(7795,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7796,plain,
% 76.82/48.64 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7797,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 76.82/48.64 inference(monotonicity,[status(thm)],[7796])).
% 76.82/48.64 tff(7798,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 76.82/48.64 inference(transitivity,[status(thm)],[7797, 7795])).
% 76.82/48.64 tff(7799,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7800,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 76.82/48.64 tff(7801,plain,
% 76.82/48.64 (~v101(constB69)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7800, 307, 7794, 7791])).
% 76.82/48.64 tff(7802,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7803,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7804,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 76.82/48.64 tff(7805,plain,
% 76.82/48.64 (v101(constB69) | (~v100(constB69))),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7804, 324, 7794])).
% 76.82/48.64 tff(7806,plain,
% 76.82/48.64 (~v100(constB69)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7805, 7801])).
% 76.82/48.64 tff(7807,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7808,plain,
% 76.82/48.64 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7809,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)))),
% 76.82/48.64 inference(monotonicity,[status(thm)],[7808])).
% 76.82/48.64 tff(7810,plain,
% 76.82/48.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 76.82/48.64 inference(transitivity,[status(thm)],[7809, 7807])).
% 76.82/48.64 tff(7811,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7812,plain,
% 76.82/48.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 76.82/48.64 tff(7813,plain,
% 76.82/48.64 ((~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7812, 1575, 7794])).
% 76.82/48.64 tff(7814,plain,
% 76.82/48.64 ((~v90(constB68, bitIndex2)) | v90(constB69, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7813, 7806])).
% 76.82/48.64 tff(7815,plain,
% 76.82/48.64 (v90(constB69, bitIndex2)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7814, 7788])).
% 76.82/48.64 tff(7816,plain,
% 76.82/48.64 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7817,plain,
% 76.82/48.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 76.82/48.64 inference(quant_inst,[status(thm)],[])).
% 76.82/48.64 tff(7818,plain,
% 76.82/48.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0))),
% 76.82/48.64 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 76.82/48.64 tff(7819,plain,
% 76.82/48.64 (~v130(constB67, bitIndex0)),
% 76.82/48.64 inference(unit_resolution,[status(thm)],[7818, 1638, 7700])).
% 76.82/48.64 tff(7820,plain,
% 76.82/48.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7821,plain,
% 76.82/48.64 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 76.82/48.64 inference(rewrite,[status(thm)],[])).
% 76.82/48.64 tff(7822,plain,
% 76.82/48.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 76.82/48.64 inference(monotonicity,[status(thm)],[7821])).
% 76.82/48.64 tff(7823,plain,
% 76.82/48.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 76.82/48.65 inference(transitivity,[status(thm)],[7822, 7820])).
% 76.82/48.65 tff(7824,plain,
% 76.82/48.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7825,plain,
% 76.82/48.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7824, 7823])).
% 76.82/48.65 tff(7826,plain,
% 76.82/48.65 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7825, 1112, 7720])).
% 76.82/48.65 tff(7827,plain,
% 76.82/48.65 (~v127(constB67, bitIndex0)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7826, 7819])).
% 76.82/48.65 tff(7828,plain,
% 76.82/48.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7829,plain,
% 76.82/48.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7830,plain,
% 76.82/48.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7829, 7828])).
% 76.82/48.65 tff(7831,plain,
% 76.82/48.65 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7830, 1130, 7732])).
% 76.82/48.65 tff(7832,plain,
% 76.82/48.65 (~v129(constB68, bitIndex0)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7831, 7827])).
% 76.82/48.65 tff(7833,plain,
% 76.82/48.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7834,plain,
% 76.82/48.65 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7835,plain,
% 76.82/48.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 76.82/48.65 inference(monotonicity,[status(thm)],[7834])).
% 76.82/48.65 tff(7836,plain,
% 76.82/48.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 76.82/48.65 inference(transitivity,[status(thm)],[7835, 7833])).
% 76.82/48.65 tff(7837,plain,
% 76.82/48.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7838,plain,
% 76.82/48.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7837, 7836])).
% 76.82/48.65 tff(7839,plain,
% 76.82/48.65 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7838, 1145, 7832])).
% 76.82/48.65 tff(7840,plain,
% 76.82/48.65 (~v90(constB68, bitIndex0)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7839, 7766])).
% 76.82/48.65 tff(7841,plain,
% 76.82/48.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7842,plain,
% 76.82/48.65 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7843,plain,
% 76.82/48.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 76.82/48.65 inference(monotonicity,[status(thm)],[7842])).
% 76.82/48.65 tff(7844,plain,
% 76.82/48.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 76.82/48.65 inference(transitivity,[status(thm)],[7843, 7841])).
% 76.82/48.65 tff(7845,plain,
% 76.82/48.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7846,plain,
% 76.82/48.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 76.82/48.65 tff(7847,plain,
% 76.82/48.65 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7846, 381, 7794])).
% 76.82/48.65 tff(7848,plain,
% 76.82/48.65 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7847, 7806])).
% 76.82/48.65 tff(7849,plain,
% 76.82/48.65 (~v90(constB69, bitIndex0)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7848, 7840])).
% 76.82/48.65 tff(7850,plain,
% 76.82/48.65 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7851,plain,
% 76.82/48.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7852,plain,
% 76.82/48.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1))),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 76.82/48.65 tff(7853,plain,
% 76.82/48.65 (~v130(constB67, bitIndex1)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7852, 1594, 7700])).
% 76.82/48.65 tff(7854,plain,
% 76.82/48.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7855,plain,
% 76.82/48.65 ((v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1))) <=> ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7856,plain,
% 76.82/48.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)))),
% 76.82/48.65 inference(monotonicity,[status(thm)],[7855])).
% 76.82/48.65 tff(7857,plain,
% 76.82/48.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 76.82/48.65 inference(transitivity,[status(thm)],[7856, 7854])).
% 76.82/48.65 tff(7858,plain,
% 76.82/48.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7859,plain,
% 76.82/48.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7858, 7857])).
% 76.82/48.65 tff(7860,plain,
% 76.82/48.65 ((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7859, 714, 7720])).
% 76.82/48.65 tff(7861,plain,
% 76.82/48.65 (~v127(constB67, bitIndex1)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7860, 7853])).
% 76.82/48.65 tff(7862,plain,
% 76.82/48.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 76.82/48.65 inference(rewrite,[status(thm)],[])).
% 76.82/48.65 tff(7863,plain,
% 76.82/48.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 76.82/48.65 inference(quant_inst,[status(thm)],[])).
% 76.82/48.65 tff(7864,plain,
% 76.82/48.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 76.82/48.65 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 76.82/48.65 tff(7865,plain,
% 76.82/48.65 (v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7864, 732, 7732])).
% 76.82/48.65 tff(7866,plain,
% 76.82/48.65 (~v129(constB68, bitIndex1)),
% 76.82/48.65 inference(unit_resolution,[status(thm)],[7865, 7861])).
% 76.82/48.65 tff(7867,plain,
% 76.82/48.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7868,plain,
% 76.82/48.66 (((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7869,plain,
% 76.82/48.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))))),
% 76.82/48.66 inference(monotonicity,[status(thm)],[7868])).
% 76.82/48.66 tff(7870,plain,
% 76.82/48.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 76.82/48.66 inference(transitivity,[status(thm)],[7869, 7867])).
% 76.82/48.66 tff(7871,plain,
% 76.82/48.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7872,plain,
% 76.82/48.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 76.82/48.66 tff(7873,plain,
% 76.82/48.66 ((~v90(constB68, bitIndex1)) | (~v100(constB68))),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7872, 747, 7866])).
% 76.82/48.66 tff(7874,plain,
% 76.82/48.66 (~v90(constB68, bitIndex1)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7873, 7766])).
% 76.82/48.66 tff(7875,plain,
% 76.82/48.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7876,plain,
% 76.82/48.66 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7877,plain,
% 76.82/48.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))))),
% 76.82/48.66 inference(monotonicity,[status(thm)],[7876])).
% 76.82/48.66 tff(7878,plain,
% 76.82/48.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 76.82/48.66 inference(transitivity,[status(thm)],[7877, 7875])).
% 76.82/48.66 tff(7879,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7880,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7879, 7878])).
% 76.82/48.66 tff(7881,plain,
% 76.82/48.66 (v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7880, 360, 7794])).
% 76.82/48.66 tff(7882,plain,
% 76.82/48.66 (v90(constB68, bitIndex1) | (~v90(constB69, bitIndex1))),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7881, 7806])).
% 76.82/48.66 tff(7883,plain,
% 76.82/48.66 (~v90(constB69, bitIndex1)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7882, 7874])).
% 76.82/48.66 tff(7884,assumption,(~v123(constB69)), introduced(assumption)).
% 76.82/48.66 tff(7885,plain,
% 76.82/48.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7886,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7887,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 76.82/48.66 tff(7888,plain,
% 76.82/48.66 (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2))),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7887, 1682, 7884])).
% 76.82/48.66 tff(7889,plain,
% 76.82/48.66 ($false),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7888, 7883, 7849, 7815])).
% 76.82/48.66 tff(7890,plain,((~v122(constB67)) | v123(constB69)), inference(lemma,lemma(discharge,[]))).
% 76.82/48.66 tff(7891,plain,
% 76.82/48.66 (v123(constB69)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7890, 7699])).
% 76.82/48.66 tff(7892,assumption,(v123(constB69)), introduced(assumption)).
% 76.82/48.66 tff(7893,plain,
% 76.82/48.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7894,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7895,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69))),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 76.82/48.66 tff(7896,plain,
% 76.82/48.66 (v115(constB69)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7895, 1693, 7892])).
% 76.82/48.66 tff(7897,plain,
% 76.82/48.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7898,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7899,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69))),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 76.82/48.66 tff(7900,plain,
% 76.82/48.66 (v114(constB69)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7899, 530, 7896])).
% 76.82/48.66 tff(7901,plain,
% 76.82/48.66 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7902,plain,
% 76.82/48.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7903,plain,
% 76.82/48.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0)),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 76.82/48.66 tff(7904,plain,
% 76.82/48.66 (v130(constB69, bitIndex0)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7903, 1836, 7892])).
% 76.82/48.66 tff(7905,assumption,(v26(constB69)), introduced(assumption)).
% 76.82/48.66 tff(7906,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7907,plain,
% 76.82/48.66 ($false),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7906, 14, 7905])).
% 76.82/48.66 tff(7908,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 76.82/48.66 tff(7909,plain,
% 76.82/48.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7910,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7911,plain,
% 76.82/48.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 76.82/48.66 tff(7912,plain,
% 76.82/48.66 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7911, 788, 7908])).
% 76.82/48.66 tff(7913,plain,
% 76.82/48.66 (v127(constB69, bitIndex0)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7912, 7904])).
% 76.82/48.66 tff(7914,plain,
% 76.82/48.66 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7915,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 76.82/48.66 tff(7916,plain,
% 76.82/48.66 (nextState(constB69, constB70)),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 76.82/48.66 tff(7917,plain,
% 76.82/48.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7918,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7919,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 76.82/48.66 tff(7920,plain,
% 76.82/48.66 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7919, 803, 7916])).
% 76.82/48.66 tff(7921,plain,
% 76.82/48.66 (v129(constB70, bitIndex0)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7920, 7913])).
% 76.82/48.66 tff(7922,assumption,(~v90(constB70, bitIndex0)), introduced(assumption)).
% 76.82/48.66 tff(7923,plain,
% 76.82/48.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7924,plain,
% 76.82/48.66 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7925,plain,
% 76.82/48.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 76.82/48.66 inference(monotonicity,[status(thm)],[7924])).
% 76.82/48.66 tff(7926,plain,
% 76.82/48.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 76.82/48.66 inference(transitivity,[status(thm)],[7925, 7923])).
% 76.82/48.66 tff(7927,plain,
% 76.82/48.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7928,plain,
% 76.82/48.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 76.82/48.66 tff(7929,plain,
% 76.82/48.66 ((~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7928, 818, 7922])).
% 76.82/48.66 tff(7930,plain,
% 76.82/48.66 (~v100(constB70)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7929, 7921])).
% 76.82/48.66 tff(7931,plain,
% 76.82/48.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7932,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7933,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 76.82/48.66 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 76.82/48.66 tff(7934,plain,
% 76.82/48.66 (~v104(constB70)),
% 76.82/48.66 inference(unit_resolution,[status(thm)],[7933, 589, 7916, 7791])).
% 76.82/48.66 tff(7935,plain,
% 76.82/48.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 76.82/48.66 inference(rewrite,[status(thm)],[])).
% 76.82/48.66 tff(7936,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 76.82/48.66 inference(quant_inst,[status(thm)],[])).
% 76.82/48.66 tff(7937,plain,
% 76.82/48.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 76.82/48.67 tff(7938,plain,
% 76.82/48.67 (v102(constB70) | v104(constB70)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7937, 603, 7916])).
% 76.82/48.67 tff(7939,plain,
% 76.82/48.67 (v102(constB70)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7938, 7934])).
% 76.82/48.67 tff(7940,plain,
% 76.82/48.67 (v1(constB70) <=> v1(constB70)),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7941,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 76.82/48.67 tff(7942,plain,
% 76.82/48.67 (v1(constB70)),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7941, 7940])).
% 76.82/48.67 tff(7943,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7944,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(7945,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 76.82/48.67 tff(7946,plain,
% 76.82/48.67 (v101(constB70) | (~v102(constB70))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7945, 621, 7916, 7942])).
% 76.82/48.67 tff(7947,plain,
% 76.82/48.67 (v101(constB70)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7946, 7939])).
% 76.82/48.67 tff(7948,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7949,plain,
% 76.82/48.67 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7950,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 76.82/48.67 inference(monotonicity,[status(thm)],[7949])).
% 76.82/48.67 tff(7951,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 76.82/48.67 inference(transitivity,[status(thm)],[7950, 7948])).
% 76.82/48.67 tff(7952,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(7953,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7952, 7951])).
% 76.82/48.67 tff(7954,plain,
% 76.82/48.67 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7953, 636, 7916])).
% 76.82/48.67 tff(7955,plain,
% 76.82/48.67 (v100(constB70) | (~v110(constB70))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7954, 7947])).
% 76.82/48.67 tff(7956,plain,
% 76.82/48.67 (~v110(constB70)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7955, 7930])).
% 76.82/48.67 tff(7957,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7958,plain,
% 76.82/48.67 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7959,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 76.82/48.67 inference(monotonicity,[status(thm)],[7958])).
% 76.82/48.67 tff(7960,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 76.82/48.67 inference(transitivity,[status(thm)],[7959, 7957])).
% 76.82/48.67 tff(7961,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(7962,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 76.82/48.67 tff(7963,plain,
% 76.82/48.67 (v110(constB70) | (~v108(constB69))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7962, 571, 7916])).
% 76.82/48.67 tff(7964,plain,
% 76.82/48.67 (~v108(constB69)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7963, 7956])).
% 76.82/48.67 tff(7965,plain,
% 76.82/48.67 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7966,plain,
% 76.82/48.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(7967,plain,
% 76.82/48.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 76.82/48.67 tff(7968,plain,
% 76.82/48.67 (~v112(constB69)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7967, 464, 7964])).
% 76.82/48.67 tff(7969,plain,
% 76.82/48.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7970,plain,
% 76.82/48.67 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7971,plain,
% 76.82/48.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69))))),
% 76.82/48.67 inference(monotonicity,[status(thm)],[7970])).
% 76.82/48.67 tff(7972,plain,
% 76.82/48.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 76.82/48.67 inference(transitivity,[status(thm)],[7971, 7969])).
% 76.82/48.67 tff(7973,plain,
% 76.82/48.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(7974,plain,
% 76.82/48.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 76.82/48.67 tff(7975,plain,
% 76.82/48.67 (v112(constB69) | (~v113(constB69))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7974, 555, 7908])).
% 76.82/48.67 tff(7976,plain,
% 76.82/48.67 (~v113(constB69)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7975, 7968])).
% 76.82/48.67 tff(7977,plain,
% 76.82/48.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7978,plain,
% 76.82/48.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(7979,plain,
% 76.82/48.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 76.82/48.67 tff(7980,plain,
% 76.82/48.67 ($false),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7979, 541, 7976, 7900])).
% 76.82/48.67 tff(7981,plain,((~v123(constB69)) | v90(constB70, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 76.82/48.67 tff(7982,plain,
% 76.82/48.67 (v90(constB70, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7981, 7891])).
% 76.82/48.67 tff(7983,plain,
% 76.82/48.67 (v116(constB67)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7703, 1470, 7699])).
% 76.82/48.67 tff(7984,plain,
% 76.82/48.67 (v115(constB67)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7707, 519, 7983])).
% 76.82/48.67 tff(7985,plain,
% 76.82/48.67 (v114(constB67)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7711, 530, 7984])).
% 76.82/48.67 tff(7986,plain,
% 76.82/48.67 (v113(constB67)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7715, 541, 7985])).
% 76.82/48.67 tff(7987,plain,
% 76.82/48.67 (v112(constB67)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7724, 7986])).
% 76.82/48.67 tff(7988,plain,
% 76.82/48.67 (v108(constB67)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7728, 464, 7987])).
% 76.82/48.67 tff(7989,plain,
% 76.82/48.67 (v110(constB68)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7739, 7988])).
% 76.82/48.67 tff(7990,plain,
% 76.82/48.67 (v100(constB68)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7765, 7989])).
% 76.82/48.67 tff(7991,plain,
% 76.82/48.67 (~v130(constB67, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7818, 1638, 7699])).
% 76.82/48.67 tff(7992,plain,
% 76.82/48.67 (~v127(constB67, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7826, 7991])).
% 76.82/48.67 tff(7993,plain,
% 76.82/48.67 (~v129(constB68, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7831, 7992])).
% 76.82/48.67 tff(7994,plain,
% 76.82/48.67 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7838, 1145, 7993])).
% 76.82/48.67 tff(7995,plain,
% 76.82/48.67 (~v90(constB68, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7994, 7990])).
% 76.82/48.67 tff(7996,plain,
% 76.82/48.67 (~v90(constB69, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7848, 7995])).
% 76.82/48.67 tff(7997,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7998,plain,
% 76.82/48.67 (((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0))) <=> (v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(7999,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0))))),
% 76.82/48.67 inference(monotonicity,[status(thm)],[7998])).
% 76.82/48.67 tff(8000,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 76.82/48.67 inference(transitivity,[status(thm)],[7999, 7997])).
% 76.82/48.67 tff(8001,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 76.82/48.67 inference(quant_inst,[status(thm)],[])).
% 76.82/48.67 tff(8002,plain,
% 76.82/48.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0))),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[8001, 8000])).
% 76.82/48.67 tff(8003,plain,
% 76.82/48.67 (v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0))),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[8002, 381, 7916])).
% 76.82/48.67 tff(8004,plain,
% 76.82/48.67 (v100(constB70)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[8003, 7996, 7982])).
% 76.82/48.67 tff(8005,plain,
% 76.82/48.67 (v90(constB70, bitIndex0)),
% 76.82/48.67 inference(unit_resolution,[status(thm)],[7981, 7892])).
% 76.82/48.67 tff(8006,plain,
% 76.82/48.67 ((~v1(constB71)) <=> (~v1(constB71))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(8007,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 76.82/48.67 tff(8008,plain,
% 76.82/48.67 (~v1(constB71)),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[8007, 8006])).
% 76.82/48.67 tff(8009,plain,
% 76.82/48.67 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(8010,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 76.82/48.67 tff(8011,plain,
% 76.82/48.67 (nextState(constB70, constB71)),
% 76.82/48.67 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 76.82/48.67 tff(8012,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(8013,plain,
% 76.82/48.67 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 76.82/48.67 inference(rewrite,[status(thm)],[])).
% 76.82/48.67 tff(8014,plain,
% 76.82/48.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 76.82/48.68 inference(monotonicity,[status(thm)],[8013])).
% 76.82/48.68 tff(8015,plain,
% 76.82/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 76.82/48.68 inference(transitivity,[status(thm)],[8014, 8012])).
% 76.82/48.68 tff(8016,plain,
% 76.82/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 76.82/48.68 inference(quant_inst,[status(thm)],[])).
% 76.82/48.68 tff(8017,plain,
% 76.82/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 76.82/48.68 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 76.82/48.68 tff(8018,plain,
% 76.82/48.68 (~v101(constB71)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8017, 307, 8011, 8008])).
% 76.82/48.68 tff(8019,plain,
% 76.82/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 76.82/48.68 inference(rewrite,[status(thm)],[])).
% 76.82/48.68 tff(8020,plain,
% 76.82/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 76.82/48.68 inference(quant_inst,[status(thm)],[])).
% 76.82/48.68 tff(8021,plain,
% 76.82/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 76.82/48.68 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 76.82/48.68 tff(8022,plain,
% 76.82/48.68 (v101(constB71) | (~v100(constB71))),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8021, 324, 8011])).
% 76.82/48.68 tff(8023,plain,
% 76.82/48.68 (~v100(constB71)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8022, 8018])).
% 76.82/48.68 tff(8024,plain,
% 76.82/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 76.82/48.68 inference(rewrite,[status(thm)],[])).
% 76.82/48.68 tff(8025,plain,
% 76.82/48.68 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 76.82/48.68 inference(rewrite,[status(thm)],[])).
% 76.82/48.68 tff(8026,plain,
% 76.82/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 76.82/48.68 inference(monotonicity,[status(thm)],[8025])).
% 76.82/48.68 tff(8027,plain,
% 76.82/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 76.82/48.68 inference(transitivity,[status(thm)],[8026, 8024])).
% 76.82/48.68 tff(8028,plain,
% 76.82/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 76.82/48.68 inference(quant_inst,[status(thm)],[])).
% 76.82/48.68 tff(8029,plain,
% 76.82/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 76.82/48.68 inference(modus_ponens,[status(thm)],[8028, 8027])).
% 76.82/48.68 tff(8030,plain,
% 76.82/48.68 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8029, 836, 8011])).
% 76.82/48.68 tff(8031,plain,
% 76.82/48.68 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8030, 8023])).
% 76.82/48.68 tff(8032,plain,
% 76.82/48.68 (v90(constB71, bitIndex0)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8031, 8005])).
% 76.82/48.68 tff(8033,plain,
% 76.82/48.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 76.82/48.68 inference(rewrite,[status(thm)],[])).
% 76.82/48.68 tff(8034,plain,
% 76.82/48.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 76.82/48.68 inference(quant_inst,[status(thm)],[])).
% 76.82/48.68 tff(8035,plain,
% 76.82/48.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1))),
% 76.82/48.68 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 76.82/48.68 tff(8036,plain,
% 76.82/48.68 (~v130(constB69, bitIndex1)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8035, 1765, 7892])).
% 76.82/48.68 tff(8037,plain,
% 76.82/48.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 76.82/48.68 inference(rewrite,[status(thm)],[])).
% 76.82/48.68 tff(8038,plain,
% 76.82/48.68 ((v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1))) <=> ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 76.82/48.68 inference(rewrite,[status(thm)],[])).
% 76.82/48.68 tff(8039,plain,
% 76.82/48.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)))),
% 76.82/48.68 inference(monotonicity,[status(thm)],[8038])).
% 76.82/48.68 tff(8040,plain,
% 76.82/48.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 76.82/48.68 inference(transitivity,[status(thm)],[8039, 8037])).
% 76.82/48.68 tff(8041,plain,
% 76.82/48.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))),
% 76.82/48.68 inference(quant_inst,[status(thm)],[])).
% 76.82/48.68 tff(8042,plain,
% 76.82/48.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)),
% 76.82/48.68 inference(modus_ponens,[status(thm)],[8041, 8040])).
% 76.82/48.68 tff(8043,plain,
% 76.82/48.68 ((~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 76.82/48.68 inference(unit_resolution,[status(thm)],[8042, 714, 7908])).
% 76.88/48.68 tff(8044,plain,
% 76.88/48.68 (~v127(constB69, bitIndex1)),
% 76.88/48.68 inference(unit_resolution,[status(thm)],[8043, 8036])).
% 76.88/48.68 tff(8045,plain,
% 76.88/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 76.88/48.68 inference(rewrite,[status(thm)],[])).
% 76.88/48.68 tff(8046,plain,
% 76.88/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 76.88/48.68 inference(quant_inst,[status(thm)],[])).
% 76.88/48.68 tff(8047,plain,
% 76.88/48.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 76.88/48.68 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 76.88/48.68 tff(8048,plain,
% 76.88/48.68 (v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 76.88/48.68 inference(unit_resolution,[status(thm)],[8047, 732, 7916])).
% 76.88/48.68 tff(8049,plain,
% 76.88/48.68 (~v129(constB70, bitIndex1)),
% 76.88/48.68 inference(unit_resolution,[status(thm)],[8048, 8044])).
% 76.88/48.68 tff(8050,assumption,(v100(constB70)), introduced(assumption)).
% 76.88/48.68 tff(8051,plain,
% 76.88/48.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 76.88/48.68 inference(rewrite,[status(thm)],[])).
% 76.88/48.68 tff(8052,plain,
% 76.88/48.68 (((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 76.88/48.68 inference(rewrite,[status(thm)],[])).
% 76.88/48.68 tff(8053,plain,
% 76.88/48.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))))),
% 76.88/48.68 inference(monotonicity,[status(thm)],[8052])).
% 76.88/48.68 tff(8054,plain,
% 76.88/48.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 76.88/48.68 inference(transitivity,[status(thm)],[8053, 8051])).
% 76.88/48.68 tff(8055,plain,
% 76.88/48.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))),
% 76.88/48.68 inference(quant_inst,[status(thm)],[])).
% 76.88/48.68 tff(8056,plain,
% 76.88/48.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))),
% 76.88/48.68 inference(modus_ponens,[status(thm)],[8055, 8054])).
% 76.88/48.68 tff(8057,plain,
% 76.88/48.68 ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1)),
% 76.88/48.68 inference(unit_resolution,[status(thm)],[8056, 747, 8050])).
% 76.88/48.68 tff(8058,plain,
% 76.88/48.68 (~v90(constB70, bitIndex1)),
% 76.88/48.68 inference(unit_resolution,[status(thm)],[8057, 8049])).
% 76.88/48.68 tff(8059,plain,
% 76.88/48.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8060,plain,
% 76.88/48.69 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8061,plain,
% 76.88/48.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))))),
% 76.88/48.69 inference(monotonicity,[status(thm)],[8060])).
% 76.88/48.69 tff(8062,plain,
% 76.88/48.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 76.88/48.69 inference(transitivity,[status(thm)],[8061, 8059])).
% 76.88/48.69 tff(8063,plain,
% 76.88/48.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8064,plain,
% 76.88/48.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8063, 8062])).
% 76.88/48.69 tff(8065,plain,
% 76.88/48.69 (v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8064, 360, 8011])).
% 76.88/48.69 tff(8066,plain,
% 76.88/48.69 (v90(constB70, bitIndex1) | (~v90(constB71, bitIndex1))),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8065, 8023])).
% 76.88/48.69 tff(8067,plain,
% 76.88/48.69 (~v90(constB71, bitIndex1)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8066, 8058])).
% 76.88/48.69 tff(8068,plain,
% 76.88/48.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8069,plain,
% 76.88/48.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8070,plain,
% 76.88/48.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2)),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 76.88/48.69 tff(8071,plain,
% 76.88/48.69 (v130(constB69, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8070, 1877, 7892])).
% 76.88/48.69 tff(8072,plain,
% 76.88/48.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8073,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8074,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8073, 8072])).
% 76.88/48.69 tff(8075,plain,
% 76.88/48.69 ((~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8074, 1431, 7908])).
% 76.88/48.69 tff(8076,plain,
% 76.88/48.69 (v127(constB69, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8075, 8071])).
% 76.88/48.69 tff(8077,plain,
% 76.88/48.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8078,plain,
% 76.88/48.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8079,plain,
% 76.88/48.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 76.88/48.69 tff(8080,plain,
% 76.88/48.69 ((~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8079, 1449, 7916])).
% 76.88/48.69 tff(8081,plain,
% 76.88/48.69 (v129(constB70, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8080, 8076])).
% 76.88/48.69 tff(8082,plain,
% 76.88/48.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8083,plain,
% 76.88/48.69 ((v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8084,plain,
% 76.88/48.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))))),
% 76.88/48.69 inference(monotonicity,[status(thm)],[8083])).
% 76.88/48.69 tff(8085,plain,
% 76.88/48.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 76.88/48.69 inference(transitivity,[status(thm)],[8084, 8082])).
% 76.88/48.69 tff(8086,plain,
% 76.88/48.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8087,plain,
% 76.88/48.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 76.88/48.69 tff(8088,plain,
% 76.88/48.69 (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2))),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8087, 1539, 8050])).
% 76.88/48.69 tff(8089,plain,
% 76.88/48.69 (v90(constB70, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8088, 8081])).
% 76.88/48.69 tff(8090,plain,
% 76.88/48.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8091,plain,
% 76.88/48.69 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8092,plain,
% 76.88/48.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)))),
% 76.88/48.69 inference(monotonicity,[status(thm)],[8091])).
% 76.88/48.69 tff(8093,plain,
% 76.88/48.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 76.88/48.69 inference(transitivity,[status(thm)],[8092, 8090])).
% 76.88/48.69 tff(8094,plain,
% 76.88/48.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8095,plain,
% 76.88/48.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 76.88/48.69 tff(8096,plain,
% 76.88/48.69 ((~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8095, 1575, 8011])).
% 76.88/48.69 tff(8097,plain,
% 76.88/48.69 ((~v90(constB70, bitIndex2)) | v90(constB71, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8096, 8023])).
% 76.88/48.69 tff(8098,plain,
% 76.88/48.69 (v90(constB71, bitIndex2)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8097, 8089])).
% 76.88/48.69 tff(8099,assumption,(~v124(constB71)), introduced(assumption)).
% 76.88/48.69 tff(8100,plain,
% 76.88/48.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8101,plain,
% 76.88/48.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8102,plain,
% 76.88/48.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71)),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 76.88/48.69 tff(8103,plain,
% 76.88/48.69 ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2))),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8102, 1919, 8099])).
% 76.88/48.69 tff(8104,plain,
% 76.88/48.69 ($false),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8103, 8098, 8067, 8032])).
% 76.88/48.69 tff(8105,plain,((~v123(constB69)) | v124(constB71) | (~v100(constB70))), inference(lemma,lemma(discharge,[]))).
% 76.88/48.69 tff(8106,plain,
% 76.88/48.69 (v124(constB71)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8105, 8004, 7891])).
% 76.88/48.69 tff(8107,plain,
% 76.88/48.69 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8108,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8109,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71))),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 76.88/48.69 tff(8110,plain,
% 76.88/48.69 (v114(constB71)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8109, 1951, 8106])).
% 76.88/48.69 tff(8111,plain,
% 76.88/48.69 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8112,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8113,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71))),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 76.88/48.69 tff(8114,plain,
% 76.88/48.69 (v113(constB71)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8113, 541, 8110])).
% 76.88/48.69 tff(8115,assumption,(v26(constB71)), introduced(assumption)).
% 76.88/48.69 tff(8116,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8117,plain,
% 76.88/48.69 ($false),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8116, 14, 8115])).
% 76.88/48.69 tff(8118,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 76.88/48.69 tff(8119,plain,
% 76.88/48.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8120,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8121,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 76.88/48.69 tff(8122,plain,
% 76.88/48.69 ((~v113(constB71)) | v112(constB71)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8121, 555, 8118])).
% 76.88/48.69 tff(8123,plain,
% 76.88/48.69 (v112(constB71)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8122, 8114])).
% 76.88/48.69 tff(8124,plain,
% 76.88/48.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71)))),
% 76.88/48.69 inference(rewrite,[status(thm)],[])).
% 76.88/48.69 tff(8125,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))),
% 76.88/48.69 inference(quant_inst,[status(thm)],[])).
% 76.88/48.69 tff(8126,plain,
% 76.88/48.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71))),
% 76.88/48.69 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 76.88/48.69 tff(8127,plain,
% 76.88/48.69 (v108(constB71)),
% 76.88/48.69 inference(unit_resolution,[status(thm)],[8126, 464, 8123])).
% 76.88/48.70 tff(8128,plain,
% 76.88/48.70 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8129,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 76.88/48.70 tff(8130,plain,
% 76.88/48.70 (nextState(constB71, constB72)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 76.88/48.70 tff(8131,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8132,plain,
% 76.88/48.70 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8133,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 76.88/48.70 inference(monotonicity,[status(thm)],[8132])).
% 76.88/48.70 tff(8134,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 76.88/48.70 inference(transitivity,[status(thm)],[8133, 8131])).
% 76.88/48.70 tff(8135,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8136,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8135, 8134])).
% 76.88/48.70 tff(8137,plain,
% 76.88/48.70 (v110(constB72) | (~v108(constB71))),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8136, 571, 8130])).
% 76.88/48.70 tff(8138,plain,
% 76.88/48.70 (v110(constB72)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8137, 8127])).
% 76.88/48.70 tff(8139,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8140,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8141,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 76.88/48.70 tff(8142,plain,
% 76.88/48.70 (~v104(constB72)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8141, 589, 8130, 8008])).
% 76.88/48.70 tff(8143,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8144,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8145,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 76.88/48.70 tff(8146,plain,
% 76.88/48.70 (v102(constB72) | v104(constB72)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8145, 603, 8130])).
% 76.88/48.70 tff(8147,plain,
% 76.88/48.70 (v102(constB72)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8146, 8142])).
% 76.88/48.70 tff(8148,plain,
% 76.88/48.70 (v1(constB72) <=> v1(constB72)),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8149,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 76.88/48.70 tff(8150,plain,
% 76.88/48.70 (v1(constB72)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8149, 8148])).
% 76.88/48.70 tff(8151,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8152,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8153,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8152, 8151])).
% 76.88/48.70 tff(8154,plain,
% 76.88/48.70 (v101(constB72) | (~v102(constB72))),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8153, 621, 8130, 8150])).
% 76.88/48.70 tff(8155,plain,
% 76.88/48.70 (v101(constB72)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8154, 8147])).
% 76.88/48.70 tff(8156,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8157,plain,
% 76.88/48.70 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8158,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 76.88/48.70 inference(monotonicity,[status(thm)],[8157])).
% 76.88/48.70 tff(8159,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 76.88/48.70 inference(transitivity,[status(thm)],[8158, 8156])).
% 76.88/48.70 tff(8160,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8161,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8160, 8159])).
% 76.88/48.70 tff(8162,plain,
% 76.88/48.70 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8161, 636, 8130])).
% 76.88/48.70 tff(8163,plain,
% 76.88/48.70 (v100(constB72) | (~v110(constB72))),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8162, 8155])).
% 76.88/48.70 tff(8164,plain,
% 76.88/48.70 (v100(constB72)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8163, 8138])).
% 76.88/48.70 tff(8165,plain,
% 76.88/48.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8166,plain,
% 76.88/48.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8167,plain,
% 76.88/48.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8166, 8165])).
% 76.88/48.70 tff(8168,plain,
% 76.88/48.70 (v130(constB71, bitIndex2)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8167, 2050, 8106])).
% 76.88/48.70 tff(8169,plain,
% 76.88/48.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8170,plain,
% 76.88/48.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8171,plain,
% 76.88/48.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 76.88/48.70 tff(8172,plain,
% 76.88/48.70 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8171, 1431, 8118])).
% 76.88/48.70 tff(8173,plain,
% 76.88/48.70 (v127(constB71, bitIndex2)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8172, 8168])).
% 76.88/48.70 tff(8174,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8175,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8176,plain,
% 76.88/48.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 76.88/48.70 tff(8177,plain,
% 76.88/48.70 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8176, 1449, 8130])).
% 76.88/48.70 tff(8178,plain,
% 76.88/48.70 (v129(constB72, bitIndex2)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8177, 8173])).
% 76.88/48.70 tff(8179,plain,
% 76.88/48.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8180,plain,
% 76.88/48.70 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8181,plain,
% 76.88/48.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 76.88/48.70 inference(monotonicity,[status(thm)],[8180])).
% 76.88/48.70 tff(8182,plain,
% 76.88/48.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 76.88/48.70 inference(transitivity,[status(thm)],[8181, 8179])).
% 76.88/48.70 tff(8183,plain,
% 76.88/48.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 76.88/48.70 inference(quant_inst,[status(thm)],[])).
% 76.88/48.70 tff(8184,plain,
% 76.88/48.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 76.88/48.70 tff(8185,plain,
% 76.88/48.70 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8184, 1539, 8178])).
% 76.88/48.70 tff(8186,plain,
% 76.88/48.70 (v90(constB72, bitIndex2)),
% 76.88/48.70 inference(unit_resolution,[status(thm)],[8185, 8164])).
% 76.88/48.70 tff(8187,plain,
% 76.88/48.70 ((~v1(constB73)) <=> (~v1(constB73))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8188,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 76.88/48.70 tff(8189,plain,
% 76.88/48.70 (~v1(constB73)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 76.88/48.70 tff(8190,plain,
% 76.88/48.70 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8191,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 76.88/48.70 tff(8192,plain,
% 76.88/48.70 (nextState(constB72, constB73)),
% 76.88/48.70 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 76.88/48.70 tff(8193,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8194,plain,
% 76.88/48.70 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 76.88/48.70 inference(rewrite,[status(thm)],[])).
% 76.88/48.70 tff(8195,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 76.88/48.70 inference(monotonicity,[status(thm)],[8194])).
% 76.88/48.70 tff(8196,plain,
% 76.88/48.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 76.88/48.71 inference(transitivity,[status(thm)],[8195, 8193])).
% 76.88/48.71 tff(8197,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8198,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 76.88/48.71 tff(8199,plain,
% 76.88/48.71 (~v101(constB73)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8198, 307, 8192, 8189])).
% 76.88/48.71 tff(8200,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8201,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8202,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 76.88/48.71 tff(8203,plain,
% 76.88/48.71 (v101(constB73) | (~v100(constB73))),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8202, 324, 8192])).
% 76.88/48.71 tff(8204,plain,
% 76.88/48.71 (~v100(constB73)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8203, 8199])).
% 76.88/48.71 tff(8205,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8206,plain,
% 76.88/48.71 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8207,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 76.88/48.71 inference(monotonicity,[status(thm)],[8206])).
% 76.88/48.71 tff(8208,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 76.88/48.71 inference(transitivity,[status(thm)],[8207, 8205])).
% 76.88/48.71 tff(8209,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8210,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 76.88/48.71 tff(8211,plain,
% 76.88/48.71 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8210, 1575, 8192])).
% 76.88/48.71 tff(8212,plain,
% 76.88/48.71 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8211, 8204])).
% 76.88/48.71 tff(8213,plain,
% 76.88/48.71 (v90(constB73, bitIndex2)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8212, 8186])).
% 76.88/48.71 tff(8214,plain,
% 76.88/48.71 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8215,plain,
% 76.88/48.71 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8216,plain,
% 76.88/48.71 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1)),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8215, 8214])).
% 76.88/48.71 tff(8217,plain,
% 76.88/48.71 (v130(constB71, bitIndex1)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8216, 1936, 8106])).
% 76.88/48.71 tff(8218,plain,
% 76.88/48.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8219,plain,
% 76.88/48.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8220,plain,
% 76.88/48.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 76.88/48.71 tff(8221,plain,
% 76.88/48.71 ((~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8220, 1031, 8118])).
% 76.88/48.71 tff(8222,plain,
% 76.88/48.71 (v127(constB71, bitIndex1)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8221, 8217])).
% 76.88/48.71 tff(8223,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8224,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8225,plain,
% 76.88/48.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 76.88/48.71 tff(8226,plain,
% 76.88/48.71 ((~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8225, 1046, 8130])).
% 76.88/48.71 tff(8227,plain,
% 76.88/48.71 (v129(constB72, bitIndex1)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8226, 8222])).
% 76.88/48.71 tff(8228,plain,
% 76.88/48.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8229,plain,
% 76.88/48.71 ((v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8230,plain,
% 76.88/48.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))))),
% 76.88/48.71 inference(monotonicity,[status(thm)],[8229])).
% 76.88/48.71 tff(8231,plain,
% 76.88/48.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 76.88/48.71 inference(transitivity,[status(thm)],[8230, 8228])).
% 76.88/48.71 tff(8232,plain,
% 76.88/48.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))),
% 76.88/48.71 inference(quant_inst,[status(thm)],[])).
% 76.88/48.71 tff(8233,plain,
% 76.88/48.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))),
% 76.88/48.71 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 76.88/48.71 tff(8234,plain,
% 76.88/48.71 (v90(constB72, bitIndex1) | (~v100(constB72))),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8233, 1061, 8227])).
% 76.88/48.71 tff(8235,plain,
% 76.88/48.71 (v90(constB72, bitIndex1)),
% 76.88/48.71 inference(unit_resolution,[status(thm)],[8234, 8164])).
% 76.88/48.71 tff(8236,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8237,plain,
% 76.88/48.71 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 76.88/48.71 inference(rewrite,[status(thm)],[])).
% 76.88/48.71 tff(8238,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)))),
% 76.88/48.71 inference(monotonicity,[status(thm)],[8237])).
% 76.88/48.71 tff(8239,plain,
% 76.88/48.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 76.88/48.72 inference(transitivity,[status(thm)],[8238, 8236])).
% 76.88/48.72 tff(8240,plain,
% 76.88/48.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8241,plain,
% 76.88/48.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 76.88/48.72 tff(8242,plain,
% 76.88/48.72 ((~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8241, 1079, 8192])).
% 76.88/48.72 tff(8243,plain,
% 76.88/48.72 ((~v90(constB72, bitIndex1)) | v90(constB73, bitIndex1)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8242, 8204])).
% 76.88/48.72 tff(8244,plain,
% 76.88/48.72 (v90(constB73, bitIndex1)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8243, 8235])).
% 76.88/48.72 tff(8245,plain,
% 76.88/48.72 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8246,plain,
% 76.88/48.72 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8247,plain,
% 76.88/48.72 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0))),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 76.88/48.72 tff(8248,plain,
% 76.88/48.72 (~v130(constB71, bitIndex0)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8247, 2112, 8106])).
% 76.88/48.72 tff(8249,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8250,plain,
% 76.88/48.72 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8251,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 76.88/48.72 inference(monotonicity,[status(thm)],[8250])).
% 76.88/48.72 tff(8252,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 76.88/48.72 inference(transitivity,[status(thm)],[8251, 8249])).
% 76.88/48.72 tff(8253,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8254,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8253, 8252])).
% 76.88/48.72 tff(8255,plain,
% 76.88/48.72 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8254, 1112, 8118])).
% 76.88/48.72 tff(8256,plain,
% 76.88/48.72 (~v127(constB71, bitIndex0)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8255, 8248])).
% 76.88/48.72 tff(8257,plain,
% 76.88/48.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8258,plain,
% 76.88/48.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8259,plain,
% 76.88/48.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8258, 8257])).
% 76.88/48.72 tff(8260,plain,
% 76.88/48.72 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8259, 1130, 8130])).
% 76.88/48.72 tff(8261,plain,
% 76.88/48.72 (~v129(constB72, bitIndex0)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8260, 8256])).
% 76.88/48.72 tff(8262,plain,
% 76.88/48.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8263,plain,
% 76.88/48.72 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8264,plain,
% 76.88/48.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 76.88/48.72 inference(monotonicity,[status(thm)],[8263])).
% 76.88/48.72 tff(8265,plain,
% 76.88/48.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 76.88/48.72 inference(transitivity,[status(thm)],[8264, 8262])).
% 76.88/48.72 tff(8266,plain,
% 76.88/48.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8267,plain,
% 76.88/48.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8266, 8265])).
% 76.88/48.72 tff(8268,plain,
% 76.88/48.72 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8267, 1145, 8261])).
% 76.88/48.72 tff(8269,plain,
% 76.88/48.72 (~v90(constB72, bitIndex0)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8268, 8164])).
% 76.88/48.72 tff(8270,plain,
% 76.88/48.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8271,plain,
% 76.88/48.72 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8272,plain,
% 76.88/48.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 76.88/48.72 inference(monotonicity,[status(thm)],[8271])).
% 76.88/48.72 tff(8273,plain,
% 76.88/48.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 76.88/48.72 inference(transitivity,[status(thm)],[8272, 8270])).
% 76.88/48.72 tff(8274,plain,
% 76.88/48.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8275,plain,
% 76.88/48.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 76.88/48.72 tff(8276,plain,
% 76.88/48.72 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8275, 381, 8192])).
% 76.88/48.72 tff(8277,plain,
% 76.88/48.72 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8276, 8204])).
% 76.88/48.72 tff(8278,plain,
% 76.88/48.72 (~v90(constB73, bitIndex0)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8277, 8269])).
% 76.88/48.72 tff(8279,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8280,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8281,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73)),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 76.88/48.72 tff(8282,plain,
% 76.88/48.72 (v125(constB73)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8281, 2156, 8278, 8244, 8213])).
% 76.88/48.72 tff(8283,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8284,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8285,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73))),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 76.88/48.72 tff(8286,plain,
% 76.88/48.72 (v113(constB73)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8285, 2167, 8282])).
% 76.88/48.72 tff(8287,assumption,(v26(constB73)), introduced(assumption)).
% 76.88/48.72 tff(8288,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8289,plain,
% 76.88/48.72 ($false),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8288, 14, 8287])).
% 76.88/48.72 tff(8290,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 76.88/48.72 tff(8291,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8292,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8293,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73)),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8292, 8291])).
% 76.88/48.72 tff(8294,plain,
% 76.88/48.72 ((~v113(constB73)) | v112(constB73)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8293, 555, 8290])).
% 76.88/48.72 tff(8295,plain,
% 76.88/48.72 (v112(constB73)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8294, 8286])).
% 76.88/48.72 tff(8296,plain,
% 76.88/48.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8297,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))),
% 76.88/48.72 inference(quant_inst,[status(thm)],[])).
% 76.88/48.72 tff(8298,plain,
% 76.88/48.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73))),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 76.88/48.72 tff(8299,plain,
% 76.88/48.72 (v108(constB73)),
% 76.88/48.72 inference(unit_resolution,[status(thm)],[8298, 464, 8295])).
% 76.88/48.72 tff(8300,plain,
% 76.88/48.72 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8301,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 76.88/48.72 tff(8302,plain,
% 76.88/48.72 (nextState(constB73, constB74)),
% 76.88/48.72 inference(modus_ponens,[status(thm)],[8301, 8300])).
% 76.88/48.72 tff(8303,plain,
% 76.88/48.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8304,plain,
% 76.88/48.72 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 76.88/48.72 inference(rewrite,[status(thm)],[])).
% 76.88/48.72 tff(8305,plain,
% 76.88/48.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 76.88/48.73 inference(monotonicity,[status(thm)],[8304])).
% 76.88/48.73 tff(8306,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 76.88/48.73 inference(transitivity,[status(thm)],[8305, 8303])).
% 76.88/48.73 tff(8307,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8308,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 76.88/48.73 tff(8309,plain,
% 76.88/48.73 (v110(constB74) | (~v108(constB73))),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8308, 571, 8302])).
% 76.88/48.73 tff(8310,plain,
% 76.88/48.73 (v110(constB74)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8309, 8299])).
% 76.88/48.73 tff(8311,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8312,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8313,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8312, 8311])).
% 76.88/48.73 tff(8314,plain,
% 76.88/48.73 (~v104(constB74)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8313, 589, 8302, 8189])).
% 76.88/48.73 tff(8315,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8316,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8317,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 76.88/48.73 tff(8318,plain,
% 76.88/48.73 (v102(constB74) | v104(constB74)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8317, 603, 8302])).
% 76.88/48.73 tff(8319,plain,
% 76.88/48.73 (v102(constB74)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8318, 8314])).
% 76.88/48.73 tff(8320,plain,
% 76.88/48.73 (v1(constB74) <=> v1(constB74)),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8321,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 76.88/48.73 tff(8322,plain,
% 76.88/48.73 (v1(constB74)),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8321, 8320])).
% 76.88/48.73 tff(8323,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8324,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8325,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 76.88/48.73 tff(8326,plain,
% 76.88/48.73 (v101(constB74) | (~v102(constB74))),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8325, 621, 8302, 8322])).
% 76.88/48.73 tff(8327,plain,
% 76.88/48.73 (v101(constB74)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8326, 8319])).
% 76.88/48.73 tff(8328,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8329,plain,
% 76.88/48.73 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8330,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 76.88/48.73 inference(monotonicity,[status(thm)],[8329])).
% 76.88/48.73 tff(8331,plain,
% 76.88/48.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 76.88/48.73 inference(transitivity,[status(thm)],[8330, 8328])).
% 76.88/48.73 tff(8332,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8333,plain,
% 76.88/48.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 76.88/48.73 tff(8334,plain,
% 76.88/48.73 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8333, 636, 8302])).
% 76.88/48.73 tff(8335,plain,
% 76.88/48.73 (v100(constB74) | (~v110(constB74))),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8334, 8327])).
% 76.88/48.73 tff(8336,plain,
% 76.88/48.73 (v100(constB74)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8335, 8310])).
% 76.88/48.73 tff(8337,plain,
% 76.88/48.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8338,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8339,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 76.88/48.73 tff(8340,plain,
% 76.88/48.73 (~v121(constB73)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8339, 2218, 8213])).
% 76.88/48.73 tff(8341,plain,
% 76.88/48.73 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8342,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8343,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8342, 8341])).
% 76.88/48.73 tff(8344,plain,
% 76.88/48.73 (~v119(constB73)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8343, 2243, 8244])).
% 76.88/48.73 tff(8345,plain,
% 76.88/48.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8346,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8347,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8346, 8345])).
% 76.88/48.73 tff(8348,plain,
% 76.88/48.73 (~v120(constB73)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8347, 2254, 8244])).
% 76.88/48.73 tff(8349,plain,
% 76.88/48.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8350,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8351,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 76.88/48.73 tff(8352,plain,
% 76.88/48.73 (~v122(constB73)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8351, 2229, 8213])).
% 76.88/48.73 tff(8353,plain,
% 76.88/48.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8354,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8355,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8354, 8353])).
% 76.88/48.73 tff(8356,plain,
% 76.88/48.73 (~v124(constB73)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8355, 2276, 8244])).
% 76.88/48.73 tff(8357,plain,
% 76.88/48.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8358,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8359,plain,
% 76.88/48.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73))),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 76.88/48.73 tff(8360,plain,
% 76.88/48.73 (~v123(constB73)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8359, 2265, 8244])).
% 76.88/48.73 tff(8361,plain,
% 76.88/48.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB73, bitIndex2)) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB73, bitIndex2)) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8362,plain,
% 76.88/48.73 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2))) <=> ((~v130(constB73, bitIndex2)) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8363,plain,
% 76.88/48.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB73, bitIndex2)) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73)))),
% 76.88/48.73 inference(monotonicity,[status(thm)],[8362])).
% 76.88/48.73 tff(8364,plain,
% 76.88/48.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB73, bitIndex2)) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))),
% 76.88/48.73 inference(transitivity,[status(thm)],[8363, 8361])).
% 76.88/48.73 tff(8365,plain,
% 76.88/48.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))),
% 76.88/48.73 inference(quant_inst,[status(thm)],[])).
% 76.88/48.73 tff(8366,plain,
% 76.88/48.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB73, bitIndex2)) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73)),
% 76.88/48.73 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 76.88/48.73 tff(8367,plain,
% 76.88/48.73 (~v130(constB73, bitIndex2)),
% 76.88/48.73 inference(unit_resolution,[status(thm)],[8366, 2290, 8360, 8356, 8352, 8348, 8344, 8340])).
% 76.88/48.73 tff(8368,plain,
% 76.88/48.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8369,plain,
% 76.88/48.73 ((v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2))) <=> ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 76.88/48.73 inference(rewrite,[status(thm)],[])).
% 76.88/48.73 tff(8370,plain,
% 76.88/48.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)))),
% 76.88/48.74 inference(monotonicity,[status(thm)],[8369])).
% 76.88/48.74 tff(8371,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 76.88/48.74 inference(transitivity,[status(thm)],[8370, 8368])).
% 76.88/48.74 tff(8372,plain,
% 76.88/48.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8373,plain,
% 76.88/48.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 76.88/48.74 tff(8374,plain,
% 76.88/48.74 ((~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8373, 430, 8290])).
% 76.88/48.74 tff(8375,plain,
% 76.88/48.74 (~v127(constB73, bitIndex2)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8374, 8367])).
% 76.88/48.74 tff(8376,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8377,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8378,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8377, 8376])).
% 76.88/48.74 tff(8379,plain,
% 76.88/48.74 (v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8378, 451, 8302])).
% 76.88/48.74 tff(8380,plain,
% 76.88/48.74 (~v129(constB74, bitIndex2)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8379, 8375])).
% 76.88/48.74 tff(8381,plain,
% 76.88/48.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8382,plain,
% 76.88/48.74 (((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8383,plain,
% 76.88/48.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))))),
% 76.88/48.74 inference(monotonicity,[status(thm)],[8382])).
% 76.88/48.74 tff(8384,plain,
% 76.88/48.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 76.88/48.74 inference(transitivity,[status(thm)],[8383, 8381])).
% 76.88/48.74 tff(8385,plain,
% 76.88/48.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8386,plain,
% 76.88/48.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8385, 8384])).
% 76.88/48.74 tff(8387,plain,
% 76.88/48.74 ((~v90(constB74, bitIndex2)) | (~v100(constB74))),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8386, 655, 8380])).
% 76.88/48.74 tff(8388,plain,
% 76.88/48.74 (~v90(constB74, bitIndex2)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8387, 8336])).
% 76.88/48.74 tff(8389,plain,
% 76.88/48.74 ((~v1(constB75)) <=> (~v1(constB75))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8390,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 76.88/48.74 tff(8391,plain,
% 76.88/48.74 (~v1(constB75)),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 76.88/48.74 tff(8392,plain,
% 76.88/48.74 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8393,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 76.88/48.74 tff(8394,plain,
% 76.88/48.74 (nextState(constB74, constB75)),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 76.88/48.74 tff(8395,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8396,plain,
% 76.88/48.74 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8397,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 76.88/48.74 inference(monotonicity,[status(thm)],[8396])).
% 76.88/48.74 tff(8398,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 76.88/48.74 inference(transitivity,[status(thm)],[8397, 8395])).
% 76.88/48.74 tff(8399,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8400,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8399, 8398])).
% 76.88/48.74 tff(8401,plain,
% 76.88/48.74 (~v101(constB75)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8400, 307, 8394, 8391])).
% 76.88/48.74 tff(8402,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8403,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8404,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8403, 8402])).
% 76.88/48.74 tff(8405,plain,
% 76.88/48.74 (v101(constB75) | (~v100(constB75))),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8404, 324, 8394])).
% 76.88/48.74 tff(8406,plain,
% 76.88/48.74 (~v100(constB75)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8405, 8401])).
% 76.88/48.74 tff(8407,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8408,plain,
% 76.88/48.74 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8409,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))))),
% 76.88/48.74 inference(monotonicity,[status(thm)],[8408])).
% 76.88/48.74 tff(8410,plain,
% 76.88/48.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 76.88/48.74 inference(transitivity,[status(thm)],[8409, 8407])).
% 76.88/48.74 tff(8411,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8412,plain,
% 76.88/48.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 76.88/48.74 tff(8413,plain,
% 76.88/48.74 (v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8412, 339, 8394])).
% 76.88/48.74 tff(8414,plain,
% 76.88/48.74 (v90(constB74, bitIndex2) | (~v90(constB75, bitIndex2))),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8413, 8406])).
% 76.88/48.74 tff(8415,plain,
% 76.88/48.74 (~v90(constB75, bitIndex2)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8414, 8388])).
% 76.88/48.74 tff(8416,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8417,plain,
% 76.88/48.74 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))) <=> (v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8418,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))))),
% 76.88/48.74 inference(monotonicity,[status(thm)],[8417])).
% 76.88/48.74 tff(8419,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 76.88/48.74 inference(transitivity,[status(thm)],[8418, 8416])).
% 76.88/48.74 tff(8420,plain,
% 76.88/48.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 76.88/48.74 inference(quant_inst,[status(thm)],[])).
% 76.88/48.74 tff(8421,plain,
% 76.88/48.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))),
% 76.88/48.74 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 76.88/48.74 tff(8422,plain,
% 76.88/48.74 (~v130(constB73, bitIndex1)),
% 76.88/48.74 inference(unit_resolution,[status(thm)],[8421, 2355, 8360, 8356, 8352, 8348, 8344, 8340])).
% 76.88/48.74 tff(8423,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8424,plain,
% 76.88/48.74 ((v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1))) <=> ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 76.88/48.74 inference(rewrite,[status(thm)],[])).
% 76.88/48.74 tff(8425,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)))),
% 76.88/48.74 inference(monotonicity,[status(thm)],[8424])).
% 76.88/48.74 tff(8426,plain,
% 76.88/48.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 76.88/48.75 inference(transitivity,[status(thm)],[8425, 8423])).
% 76.88/48.75 tff(8427,plain,
% 76.88/48.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))),
% 76.88/48.75 inference(quant_inst,[status(thm)],[])).
% 76.88/48.75 tff(8428,plain,
% 76.88/48.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)),
% 76.88/48.75 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 76.88/48.75 tff(8429,plain,
% 76.88/48.75 ((~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8428, 714, 8290])).
% 76.88/48.75 tff(8430,plain,
% 76.88/48.75 (~v127(constB73, bitIndex1)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8429, 8422])).
% 76.88/48.75 tff(8431,plain,
% 76.88/48.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8432,plain,
% 76.88/48.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 76.88/48.75 inference(quant_inst,[status(thm)],[])).
% 76.88/48.75 tff(8433,plain,
% 76.88/48.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 76.88/48.75 inference(modus_ponens,[status(thm)],[8432, 8431])).
% 76.88/48.75 tff(8434,plain,
% 76.88/48.75 (v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8433, 732, 8302])).
% 76.88/48.75 tff(8435,plain,
% 76.88/48.75 (~v129(constB74, bitIndex1)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8434, 8430])).
% 76.88/48.75 tff(8436,plain,
% 76.88/48.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8437,plain,
% 76.88/48.75 (((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8438,plain,
% 76.88/48.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))))),
% 76.88/48.75 inference(monotonicity,[status(thm)],[8437])).
% 76.88/48.75 tff(8439,plain,
% 76.88/48.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 76.88/48.75 inference(transitivity,[status(thm)],[8438, 8436])).
% 76.88/48.75 tff(8440,plain,
% 76.88/48.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))),
% 76.88/48.75 inference(quant_inst,[status(thm)],[])).
% 76.88/48.75 tff(8441,plain,
% 76.88/48.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))),
% 76.88/48.75 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 76.88/48.75 tff(8442,plain,
% 76.88/48.75 ((~v90(constB74, bitIndex1)) | (~v100(constB74))),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8441, 747, 8435])).
% 76.88/48.75 tff(8443,plain,
% 76.88/48.75 (~v90(constB74, bitIndex1)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8442, 8336])).
% 76.88/48.75 tff(8444,plain,
% 76.88/48.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8445,plain,
% 76.88/48.75 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8446,plain,
% 76.88/48.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))))),
% 76.88/48.75 inference(monotonicity,[status(thm)],[8445])).
% 76.88/48.75 tff(8447,plain,
% 76.88/48.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 76.88/48.75 inference(transitivity,[status(thm)],[8446, 8444])).
% 76.88/48.75 tff(8448,plain,
% 76.88/48.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 76.88/48.75 inference(quant_inst,[status(thm)],[])).
% 76.88/48.75 tff(8449,plain,
% 76.88/48.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 76.88/48.75 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 76.88/48.75 tff(8450,plain,
% 76.88/48.75 (v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8449, 360, 8394])).
% 76.88/48.75 tff(8451,plain,
% 76.88/48.75 (v90(constB74, bitIndex1) | (~v90(constB75, bitIndex1))),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8450, 8406])).
% 76.88/48.75 tff(8452,plain,
% 76.88/48.75 (~v90(constB75, bitIndex1)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8451, 8443])).
% 76.88/48.75 tff(8453,plain,
% 76.88/48.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB73, bitIndex0) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB73, bitIndex0) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8454,plain,
% 76.88/48.75 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0)) <=> (v130(constB73, bitIndex0) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8455,plain,
% 76.88/48.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB73, bitIndex0) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73)))),
% 76.88/48.75 inference(monotonicity,[status(thm)],[8454])).
% 76.88/48.75 tff(8456,plain,
% 76.88/48.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB73, bitIndex0) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73))),
% 76.88/48.75 inference(transitivity,[status(thm)],[8455, 8453])).
% 76.88/48.75 tff(8457,plain,
% 76.88/48.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))),
% 76.88/48.75 inference(quant_inst,[status(thm)],[])).
% 76.88/48.75 tff(8458,plain,
% 76.88/48.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB73, bitIndex0) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v124(constB73)),
% 76.88/48.75 inference(modus_ponens,[status(thm)],[8457, 8456])).
% 76.88/48.75 tff(8459,plain,
% 76.88/48.75 (v130(constB73, bitIndex0)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8458, 2402, 8360, 8356, 8352, 8348, 8344, 8340])).
% 76.88/48.75 tff(8460,plain,
% 76.88/48.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 76.88/48.75 inference(rewrite,[status(thm)],[])).
% 76.88/48.75 tff(8461,plain,
% 76.88/48.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 76.88/48.75 inference(quant_inst,[status(thm)],[])).
% 76.88/48.75 tff(8462,plain,
% 76.88/48.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 76.88/48.75 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 76.88/48.75 tff(8463,plain,
% 76.88/48.75 ((~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8462, 788, 8290])).
% 76.88/48.75 tff(8464,plain,
% 76.88/48.75 (v127(constB73, bitIndex0)),
% 76.88/48.75 inference(unit_resolution,[status(thm)],[8463, 8459])).
% 76.88/48.75 tff(8465,plain,
% 76.88/48.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 76.88/48.76 inference(rewrite,[status(thm)],[])).
% 76.88/48.76 tff(8466,plain,
% 76.88/48.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 76.88/48.76 inference(quant_inst,[status(thm)],[])).
% 76.88/48.76 tff(8467,plain,
% 76.88/48.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 76.88/48.76 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 76.88/48.76 tff(8468,plain,
% 76.88/48.76 ((~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 76.88/48.76 inference(unit_resolution,[status(thm)],[8467, 803, 8302])).
% 76.88/48.76 tff(8469,plain,
% 76.88/48.76 (v129(constB74, bitIndex0)),
% 76.88/48.76 inference(unit_resolution,[status(thm)],[8468, 8464])).
% 76.88/48.76 tff(8470,plain,
% 76.88/48.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 76.88/48.76 inference(rewrite,[status(thm)],[])).
% 76.88/48.76 tff(8471,plain,
% 76.88/48.76 ((v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 76.88/48.76 inference(rewrite,[status(thm)],[])).
% 76.88/48.76 tff(8472,plain,
% 76.88/48.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))))),
% 76.88/48.76 inference(monotonicity,[status(thm)],[8471])).
% 76.88/48.76 tff(8473,plain,
% 76.88/48.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 76.88/48.76 inference(transitivity,[status(thm)],[8472, 8470])).
% 76.88/48.76 tff(8474,plain,
% 76.88/48.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))),
% 76.88/48.76 inference(quant_inst,[status(thm)],[])).
% 76.88/48.76 tff(8475,plain,
% 76.88/48.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))),
% 76.88/48.76 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 76.88/48.76 tff(8476,plain,
% 76.88/48.76 (v90(constB74, bitIndex0) | (~v100(constB74))),
% 76.88/48.76 inference(unit_resolution,[status(thm)],[8475, 818, 8469])).
% 76.88/48.76 tff(8477,plain,
% 76.88/48.76 (v90(constB74, bitIndex0)),
% 76.88/48.76 inference(unit_resolution,[status(thm)],[8476, 8336])).
% 76.88/48.76 tff(8478,plain,
% 76.88/48.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 76.88/48.76 inference(rewrite,[status(thm)],[])).
% 76.88/48.76 tff(8479,plain,
% 76.88/48.76 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 76.88/48.76 inference(rewrite,[status(thm)],[])).
% 76.88/48.76 tff(8480,plain,
% 76.88/48.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)))),
% 76.96/48.76 inference(monotonicity,[status(thm)],[8479])).
% 76.96/48.76 tff(8481,plain,
% 76.96/48.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 76.96/48.76 inference(transitivity,[status(thm)],[8480, 8478])).
% 76.96/48.76 tff(8482,plain,
% 76.96/48.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8483,plain,
% 76.96/48.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 76.96/48.76 tff(8484,plain,
% 76.96/48.76 ((~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8483, 836, 8394])).
% 76.96/48.76 tff(8485,plain,
% 76.96/48.76 ((~v90(constB74, bitIndex0)) | v90(constB75, bitIndex0)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8484, 8406])).
% 76.96/48.76 tff(8486,plain,
% 76.96/48.76 (v90(constB75, bitIndex0)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8485, 8477])).
% 76.96/48.76 tff(8487,plain,
% 76.96/48.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8488,plain,
% 76.96/48.76 (((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)) <=> ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8489,plain,
% 76.96/48.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)))),
% 76.96/48.76 inference(monotonicity,[status(thm)],[8488])).
% 76.96/48.76 tff(8490,plain,
% 76.96/48.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 76.96/48.76 inference(transitivity,[status(thm)],[8489, 8487])).
% 76.96/48.76 tff(8491,plain,
% 76.96/48.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8492,plain,
% 76.96/48.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 76.96/48.76 tff(8493,plain,
% 76.96/48.76 (v120(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8492, 855, 8486, 8452, 8415])).
% 76.96/48.76 tff(8494,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8495,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8496,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 76.96/48.76 tff(8497,plain,
% 76.96/48.76 (v118(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8496, 908, 8493])).
% 76.96/48.76 tff(8498,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8499,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8500,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8499, 8498])).
% 76.96/48.76 tff(8501,plain,
% 76.96/48.76 (v117(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8500, 497, 8497])).
% 76.96/48.76 tff(8502,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8503,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8504,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 76.96/48.76 tff(8505,plain,
% 76.96/48.76 (v116(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8504, 508, 8501])).
% 76.96/48.76 tff(8506,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8507,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8508,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8507, 8506])).
% 76.96/48.76 tff(8509,plain,
% 76.96/48.76 (v115(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8508, 519, 8505])).
% 76.96/48.76 tff(8510,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8511,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8512,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8511, 8510])).
% 76.96/48.76 tff(8513,plain,
% 76.96/48.76 (v114(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8512, 530, 8509])).
% 76.96/48.76 tff(8514,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8515,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8516,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 76.96/48.76 tff(8517,plain,
% 76.96/48.76 (v113(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8516, 541, 8513])).
% 76.96/48.76 tff(8518,assumption,(v26(constB75)), introduced(assumption)).
% 76.96/48.76 tff(8519,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8520,plain,
% 76.96/48.76 ($false),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8519, 14, 8518])).
% 76.96/48.76 tff(8521,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 76.96/48.76 tff(8522,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8523,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8524,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75)),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 76.96/48.76 tff(8525,plain,
% 76.96/48.76 ((~v113(constB75)) | v112(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8524, 555, 8521])).
% 76.96/48.76 tff(8526,plain,
% 76.96/48.76 (v112(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8525, 8517])).
% 76.96/48.76 tff(8527,plain,
% 76.96/48.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8528,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))),
% 76.96/48.76 inference(quant_inst,[status(thm)],[])).
% 76.96/48.76 tff(8529,plain,
% 76.96/48.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75))),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8528, 8527])).
% 76.96/48.76 tff(8530,plain,
% 76.96/48.76 (v108(constB75)),
% 76.96/48.76 inference(unit_resolution,[status(thm)],[8529, 464, 8526])).
% 76.96/48.76 tff(8531,plain,
% 76.96/48.76 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8532,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 76.96/48.76 tff(8533,plain,
% 76.96/48.76 (nextState(constB75, constB76)),
% 76.96/48.76 inference(modus_ponens,[status(thm)],[8532, 8531])).
% 76.96/48.76 tff(8534,plain,
% 76.96/48.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8535,plain,
% 76.96/48.76 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 76.96/48.76 inference(rewrite,[status(thm)],[])).
% 76.96/48.76 tff(8536,plain,
% 76.96/48.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 76.96/48.76 inference(monotonicity,[status(thm)],[8535])).
% 76.96/48.76 tff(8537,plain,
% 76.96/48.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 76.96/48.77 inference(transitivity,[status(thm)],[8536, 8534])).
% 76.96/48.77 tff(8538,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8539,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 76.96/48.77 tff(8540,plain,
% 76.96/48.77 (v110(constB76) | (~v108(constB75))),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8539, 571, 8533])).
% 76.96/48.77 tff(8541,plain,
% 76.96/48.77 (v110(constB76)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8540, 8530])).
% 76.96/48.77 tff(8542,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8543,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8544,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8543, 8542])).
% 76.96/48.77 tff(8545,plain,
% 76.96/48.77 (~v104(constB76)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8544, 589, 8533, 8391])).
% 76.96/48.77 tff(8546,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8547,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8548,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 76.96/48.77 tff(8549,plain,
% 76.96/48.77 (v102(constB76) | v104(constB76)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8548, 603, 8533])).
% 76.96/48.77 tff(8550,plain,
% 76.96/48.77 (v102(constB76)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8549, 8545])).
% 76.96/48.77 tff(8551,plain,
% 76.96/48.77 (v1(constB76) <=> v1(constB76)),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8552,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 76.96/48.77 tff(8553,plain,
% 76.96/48.77 (v1(constB76)),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 76.96/48.77 tff(8554,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8555,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8556,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8555, 8554])).
% 76.96/48.77 tff(8557,plain,
% 76.96/48.77 (v101(constB76) | (~v102(constB76))),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8556, 621, 8533, 8553])).
% 76.96/48.77 tff(8558,plain,
% 76.96/48.77 (v101(constB76)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8557, 8550])).
% 76.96/48.77 tff(8559,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8560,plain,
% 76.96/48.77 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8561,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 76.96/48.77 inference(monotonicity,[status(thm)],[8560])).
% 76.96/48.77 tff(8562,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 76.96/48.77 inference(transitivity,[status(thm)],[8561, 8559])).
% 76.96/48.77 tff(8563,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8564,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 76.96/48.77 tff(8565,plain,
% 76.96/48.77 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8564, 636, 8533])).
% 76.96/48.77 tff(8566,plain,
% 76.96/48.77 (v100(constB76) | (~v110(constB76))),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8565, 8558])).
% 76.96/48.77 tff(8567,plain,
% 76.96/48.77 (v100(constB76)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8566, 8541])).
% 76.96/48.77 tff(8568,plain,
% 76.96/48.77 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8569,plain,
% 76.96/48.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8570,plain,
% 76.96/48.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2))),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 76.96/48.77 tff(8571,plain,
% 76.96/48.77 (~v130(constB75, bitIndex2)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8570, 872, 8493])).
% 76.96/48.77 tff(8572,plain,
% 76.96/48.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8573,plain,
% 76.96/48.77 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8574,plain,
% 76.96/48.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 76.96/48.77 inference(monotonicity,[status(thm)],[8573])).
% 76.96/48.77 tff(8575,plain,
% 76.96/48.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 76.96/48.77 inference(transitivity,[status(thm)],[8574, 8572])).
% 76.96/48.77 tff(8576,plain,
% 76.96/48.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8577,plain,
% 76.96/48.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8576, 8575])).
% 76.96/48.77 tff(8578,plain,
% 76.96/48.77 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8577, 430, 8521])).
% 76.96/48.77 tff(8579,plain,
% 76.96/48.77 (~v127(constB75, bitIndex2)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8578, 8571])).
% 76.96/48.77 tff(8580,plain,
% 76.96/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.96/48.77 tff(8581,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 76.96/48.77 inference(quant_inst,[status(thm)],[])).
% 76.96/48.77 tff(8582,plain,
% 76.96/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 76.96/48.77 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 76.96/48.77 tff(8583,plain,
% 76.96/48.77 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8582, 451, 8533])).
% 76.96/48.77 tff(8584,plain,
% 76.96/48.77 (~v129(constB76, bitIndex2)),
% 76.96/48.77 inference(unit_resolution,[status(thm)],[8583, 8579])).
% 76.96/48.77 tff(8585,plain,
% 76.96/48.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 76.96/48.77 inference(rewrite,[status(thm)],[])).
% 76.98/48.77 tff(8586,plain,
% 76.98/48.77 (((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2)) <=> ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 76.98/48.77 inference(rewrite,[status(thm)],[])).
% 76.98/48.77 tff(8587,plain,
% 76.98/48.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))))),
% 76.98/48.77 inference(monotonicity,[status(thm)],[8586])).
% 76.98/48.77 tff(8588,plain,
% 76.98/48.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 76.98/48.77 inference(transitivity,[status(thm)],[8587, 8585])).
% 76.98/48.77 tff(8589,plain,
% 76.98/48.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))),
% 76.98/48.77 inference(quant_inst,[status(thm)],[])).
% 76.98/48.77 tff(8590,plain,
% 76.98/48.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 76.98/48.77 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 76.98/48.77 tff(8591,plain,
% 76.98/48.77 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 76.98/48.77 inference(unit_resolution,[status(thm)],[8590, 655, 8584])).
% 76.98/48.77 tff(8592,plain,
% 76.98/48.77 (~v90(constB76, bitIndex2)),
% 76.98/48.77 inference(unit_resolution,[status(thm)],[8591, 8567])).
% 76.98/48.77 tff(8593,plain,
% 76.98/48.77 ((~v1(constB77)) <=> (~v1(constB77))),
% 76.98/48.77 inference(rewrite,[status(thm)],[])).
% 76.98/48.77 tff(8594,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 76.98/48.77 tff(8595,plain,
% 76.98/48.77 (~v1(constB77)),
% 76.98/48.77 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 76.98/48.77 tff(8596,plain,
% 76.98/48.77 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 76.98/48.77 inference(rewrite,[status(thm)],[])).
% 76.98/48.77 tff(8597,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 76.98/48.77 tff(8598,plain,
% 76.98/48.77 (nextState(constB76, constB77)),
% 76.98/48.77 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 76.98/48.77 tff(8599,plain,
% 76.98/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 76.98/48.77 inference(rewrite,[status(thm)],[])).
% 76.98/48.77 tff(8600,plain,
% 76.98/48.77 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 76.98/48.77 inference(rewrite,[status(thm)],[])).
% 76.98/48.77 tff(8601,plain,
% 76.98/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 76.98/48.77 inference(monotonicity,[status(thm)],[8600])).
% 76.98/48.77 tff(8602,plain,
% 76.98/48.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 76.98/48.77 inference(transitivity,[status(thm)],[8601, 8599])).
% 76.98/48.77 tff(8603,plain,
% 76.98/48.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8604,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8603, 8602])).
% 76.98/48.78 tff(8605,plain,
% 76.98/48.78 (~v101(constB77)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8604, 307, 8598, 8595])).
% 76.98/48.78 tff(8606,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8607,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8608,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8607, 8606])).
% 76.98/48.78 tff(8609,plain,
% 76.98/48.78 (v101(constB77) | (~v100(constB77))),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8608, 324, 8598])).
% 76.98/48.78 tff(8610,plain,
% 76.98/48.78 (~v100(constB77)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8609, 8605])).
% 76.98/48.78 tff(8611,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8612,plain,
% 76.98/48.78 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8613,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 76.98/48.78 inference(monotonicity,[status(thm)],[8612])).
% 76.98/48.78 tff(8614,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 76.98/48.78 inference(transitivity,[status(thm)],[8613, 8611])).
% 76.98/48.78 tff(8615,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8616,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 76.98/48.78 tff(8617,plain,
% 76.98/48.78 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8616, 339, 8598])).
% 76.98/48.78 tff(8618,plain,
% 76.98/48.78 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8617, 8610])).
% 76.98/48.78 tff(8619,plain,
% 76.98/48.78 (~v90(constB77, bitIndex2)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8618, 8592])).
% 76.98/48.78 tff(8620,plain,
% 76.98/48.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8621,plain,
% 76.98/48.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8622,plain,
% 76.98/48.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1)),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 76.98/48.78 tff(8623,plain,
% 76.98/48.78 (v130(constB75, bitIndex1)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8622, 1017, 8493])).
% 76.98/48.78 tff(8624,plain,
% 76.98/48.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8625,plain,
% 76.98/48.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8626,plain,
% 76.98/48.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8625, 8624])).
% 76.98/48.78 tff(8627,plain,
% 76.98/48.78 ((~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8626, 1031, 8521])).
% 76.98/48.78 tff(8628,plain,
% 76.98/48.78 (v127(constB75, bitIndex1)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8627, 8623])).
% 76.98/48.78 tff(8629,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8630,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8631,plain,
% 76.98/48.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 76.98/48.78 tff(8632,plain,
% 76.98/48.78 ((~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8631, 1046, 8533])).
% 76.98/48.78 tff(8633,plain,
% 76.98/48.78 (v129(constB76, bitIndex1)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8632, 8628])).
% 76.98/48.78 tff(8634,plain,
% 76.98/48.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8635,plain,
% 76.98/48.78 ((v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8636,plain,
% 76.98/48.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))))),
% 76.98/48.78 inference(monotonicity,[status(thm)],[8635])).
% 76.98/48.78 tff(8637,plain,
% 76.98/48.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 76.98/48.78 inference(transitivity,[status(thm)],[8636, 8634])).
% 76.98/48.78 tff(8638,plain,
% 76.98/48.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))),
% 76.98/48.78 inference(quant_inst,[status(thm)],[])).
% 76.98/48.78 tff(8639,plain,
% 76.98/48.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))),
% 76.98/48.78 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 76.98/48.78 tff(8640,plain,
% 76.98/48.78 (v90(constB76, bitIndex1) | (~v100(constB76))),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8639, 1061, 8633])).
% 76.98/48.78 tff(8641,plain,
% 76.98/48.78 (v90(constB76, bitIndex1)),
% 76.98/48.78 inference(unit_resolution,[status(thm)],[8640, 8567])).
% 76.98/48.78 tff(8642,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8643,plain,
% 76.98/48.78 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 76.98/48.78 inference(rewrite,[status(thm)],[])).
% 76.98/48.78 tff(8644,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)))),
% 76.98/48.78 inference(monotonicity,[status(thm)],[8643])).
% 76.98/48.78 tff(8645,plain,
% 76.98/48.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 76.98/48.78 inference(transitivity,[status(thm)],[8644, 8642])).
% 76.98/48.78 tff(8646,plain,
% 76.98/48.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8647,plain,
% 76.98/48.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 76.98/48.79 tff(8648,plain,
% 76.98/48.79 ((~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8647, 1079, 8598])).
% 76.98/48.79 tff(8649,plain,
% 76.98/48.79 ((~v90(constB76, bitIndex1)) | v90(constB77, bitIndex1)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8648, 8610])).
% 76.98/48.79 tff(8650,plain,
% 76.98/48.79 (v90(constB77, bitIndex1)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8649, 8641])).
% 76.98/48.79 tff(8651,plain,
% 76.98/48.79 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8652,plain,
% 76.98/48.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8653,plain,
% 76.98/48.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 76.98/48.79 tff(8654,plain,
% 76.98/48.79 (~v130(constB75, bitIndex0)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8653, 1098, 8493])).
% 76.98/48.79 tff(8655,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8656,plain,
% 76.98/48.79 ((v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0))) <=> ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8657,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)))),
% 76.98/48.79 inference(monotonicity,[status(thm)],[8656])).
% 76.98/48.79 tff(8658,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 76.98/48.79 inference(transitivity,[status(thm)],[8657, 8655])).
% 76.98/48.79 tff(8659,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8660,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 76.98/48.79 tff(8661,plain,
% 76.98/48.79 ((~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8660, 1112, 8521])).
% 76.98/48.79 tff(8662,plain,
% 76.98/48.79 (~v127(constB75, bitIndex0)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8661, 8654])).
% 76.98/48.79 tff(8663,plain,
% 76.98/48.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8664,plain,
% 76.98/48.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8665,plain,
% 76.98/48.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 76.98/48.79 tff(8666,plain,
% 76.98/48.79 (v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8665, 1130, 8533])).
% 76.98/48.79 tff(8667,plain,
% 76.98/48.79 (~v129(constB76, bitIndex0)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8666, 8662])).
% 76.98/48.79 tff(8668,plain,
% 76.98/48.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8669,plain,
% 76.98/48.79 (((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8670,plain,
% 76.98/48.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))))),
% 76.98/48.79 inference(monotonicity,[status(thm)],[8669])).
% 76.98/48.79 tff(8671,plain,
% 76.98/48.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 76.98/48.79 inference(transitivity,[status(thm)],[8670, 8668])).
% 76.98/48.79 tff(8672,plain,
% 76.98/48.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8673,plain,
% 76.98/48.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 76.98/48.79 tff(8674,plain,
% 76.98/48.79 ((~v90(constB76, bitIndex0)) | (~v100(constB76))),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8673, 1145, 8667])).
% 76.98/48.79 tff(8675,plain,
% 76.98/48.79 (~v90(constB76, bitIndex0)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8674, 8567])).
% 76.98/48.79 tff(8676,plain,
% 76.98/48.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8677,plain,
% 76.98/48.79 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8678,plain,
% 76.98/48.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))))),
% 76.98/48.79 inference(monotonicity,[status(thm)],[8677])).
% 76.98/48.79 tff(8679,plain,
% 76.98/48.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 76.98/48.79 inference(transitivity,[status(thm)],[8678, 8676])).
% 76.98/48.79 tff(8680,plain,
% 76.98/48.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8681,plain,
% 76.98/48.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8680, 8679])).
% 76.98/48.79 tff(8682,plain,
% 76.98/48.79 (v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8681, 381, 8598])).
% 76.98/48.79 tff(8683,plain,
% 76.98/48.79 (v90(constB76, bitIndex0) | (~v90(constB77, bitIndex0))),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8682, 8610])).
% 76.98/48.79 tff(8684,plain,
% 76.98/48.79 (~v90(constB77, bitIndex0)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8683, 8675])).
% 76.98/48.79 tff(8685,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8686,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8687,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77)),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 76.98/48.79 tff(8688,plain,
% 76.98/48.79 (v121(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8687, 1172, 8684, 8650, 8619])).
% 76.98/48.79 tff(8689,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8690,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8691,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 76.98/48.79 tff(8692,plain,
% 76.98/48.79 (v117(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8691, 1183, 8688])).
% 76.98/48.79 tff(8693,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8694,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8695,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 76.98/48.79 tff(8696,plain,
% 76.98/48.79 (v116(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8695, 508, 8692])).
% 76.98/48.79 tff(8697,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8698,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8699,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 76.98/48.79 tff(8700,plain,
% 76.98/48.79 (v115(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8699, 519, 8696])).
% 76.98/48.79 tff(8701,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8702,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8703,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 76.98/48.79 tff(8704,plain,
% 76.98/48.79 (v114(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8703, 530, 8700])).
% 76.98/48.79 tff(8705,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8706,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8707,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 76.98/48.79 tff(8708,plain,
% 76.98/48.79 (v113(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8707, 541, 8704])).
% 76.98/48.79 tff(8709,assumption,(~v108(constB77)), introduced(assumption)).
% 76.98/48.79 tff(8710,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77)))),
% 76.98/48.79 inference(rewrite,[status(thm)],[])).
% 76.98/48.79 tff(8711,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))),
% 76.98/48.79 inference(quant_inst,[status(thm)],[])).
% 76.98/48.79 tff(8712,plain,
% 76.98/48.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77))),
% 76.98/48.79 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 76.98/48.79 tff(8713,plain,
% 76.98/48.79 (~v112(constB77)),
% 76.98/48.79 inference(unit_resolution,[status(thm)],[8712, 464, 8709])).
% 76.98/48.79 tff(8714,plain,
% 76.98/48.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB77) | (~v26(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB77) | (~v26(constB77)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8715,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB77) | (~v26(constB77)))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8716,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB77) | (~v26(constB77))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8715, 8714])).
% 76.98/48.80 tff(8717,plain,
% 76.98/48.80 (~v26(constB77)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8716, 475, 8709])).
% 76.98/48.80 tff(8718,assumption,(v113(constB77)), introduced(assumption)).
% 76.98/48.80 tff(8719,plain,
% 76.98/48.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8720,plain,
% 76.98/48.80 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8721,plain,
% 76.98/48.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 76.98/48.80 inference(monotonicity,[status(thm)],[8720])).
% 76.98/48.80 tff(8722,plain,
% 76.98/48.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 76.98/48.80 inference(transitivity,[status(thm)],[8721, 8719])).
% 76.98/48.80 tff(8723,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8724,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8723, 8722])).
% 76.98/48.80 tff(8725,plain,
% 76.98/48.80 (v26(constB77) | v112(constB77)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8724, 555, 8718])).
% 76.98/48.80 tff(8726,plain,
% 76.98/48.80 ($false),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8725, 8717, 8713])).
% 76.98/48.80 tff(8727,plain,(v108(constB77) | (~v113(constB77))), inference(lemma,lemma(discharge,[]))).
% 76.98/48.80 tff(8728,plain,
% 76.98/48.80 (v108(constB77)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8727, 8708])).
% 76.98/48.80 tff(8729,plain,
% 76.98/48.80 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8730,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 76.98/48.80 tff(8731,plain,
% 76.98/48.80 (nextState(constB77, constB78)),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 76.98/48.80 tff(8732,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8733,plain,
% 76.98/48.80 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8734,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 76.98/48.80 inference(monotonicity,[status(thm)],[8733])).
% 76.98/48.80 tff(8735,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 76.98/48.80 inference(transitivity,[status(thm)],[8734, 8732])).
% 76.98/48.80 tff(8736,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8737,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 76.98/48.80 tff(8738,plain,
% 76.98/48.80 (v110(constB78) | (~v108(constB77))),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8737, 571, 8731])).
% 76.98/48.80 tff(8739,plain,
% 76.98/48.80 (v110(constB78)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8738, 8728])).
% 76.98/48.80 tff(8740,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8741,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8742,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 76.98/48.80 tff(8743,plain,
% 76.98/48.80 (~v104(constB78)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8742, 589, 8731, 8595])).
% 76.98/48.80 tff(8744,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8745,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8746,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 76.98/48.80 tff(8747,plain,
% 76.98/48.80 (v102(constB78) | v104(constB78)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8746, 603, 8731])).
% 76.98/48.80 tff(8748,plain,
% 76.98/48.80 (v102(constB78)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8747, 8743])).
% 76.98/48.80 tff(8749,plain,
% 76.98/48.80 (v1(constB78) <=> v1(constB78)),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8750,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 76.98/48.80 tff(8751,plain,
% 76.98/48.80 (v1(constB78)),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 76.98/48.80 tff(8752,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8753,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8754,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 76.98/48.80 tff(8755,plain,
% 76.98/48.80 (v101(constB78) | (~v102(constB78))),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8754, 621, 8731, 8751])).
% 76.98/48.80 tff(8756,plain,
% 76.98/48.80 (v101(constB78)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8755, 8748])).
% 76.98/48.80 tff(8757,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8758,plain,
% 76.98/48.80 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8759,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 76.98/48.80 inference(monotonicity,[status(thm)],[8758])).
% 76.98/48.80 tff(8760,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 76.98/48.80 inference(transitivity,[status(thm)],[8759, 8757])).
% 76.98/48.80 tff(8761,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8762,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 76.98/48.80 tff(8763,plain,
% 76.98/48.80 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8762, 636, 8731])).
% 76.98/48.80 tff(8764,plain,
% 76.98/48.80 (v100(constB78) | (~v110(constB78))),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8763, 8756])).
% 76.98/48.80 tff(8765,plain,
% 76.98/48.80 (v100(constB78)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8764, 8739])).
% 76.98/48.80 tff(8766,plain,
% 76.98/48.80 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8767,plain,
% 76.98/48.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8768,plain,
% 76.98/48.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 76.98/48.80 tff(8769,plain,
% 76.98/48.80 (~v130(constB77, bitIndex2)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8768, 1259, 8688])).
% 76.98/48.80 tff(8770,assumption,(v26(constB77)), introduced(assumption)).
% 76.98/48.80 tff(8771,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8772,plain,
% 76.98/48.80 ($false),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8771, 14, 8770])).
% 76.98/48.80 tff(8773,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 76.98/48.80 tff(8774,plain,
% 76.98/48.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8775,plain,
% 76.98/48.80 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8776,plain,
% 76.98/48.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 76.98/48.80 inference(monotonicity,[status(thm)],[8775])).
% 76.98/48.80 tff(8777,plain,
% 76.98/48.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 76.98/48.80 inference(transitivity,[status(thm)],[8776, 8774])).
% 76.98/48.80 tff(8778,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8779,plain,
% 76.98/48.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 76.98/48.80 tff(8780,plain,
% 76.98/48.80 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8779, 430, 8773])).
% 76.98/48.80 tff(8781,plain,
% 76.98/48.80 (~v127(constB77, bitIndex2)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8780, 8769])).
% 76.98/48.80 tff(8782,plain,
% 76.98/48.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 76.98/48.80 inference(rewrite,[status(thm)],[])).
% 76.98/48.80 tff(8783,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 76.98/48.80 inference(quant_inst,[status(thm)],[])).
% 76.98/48.80 tff(8784,plain,
% 76.98/48.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 76.98/48.80 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 76.98/48.80 tff(8785,plain,
% 76.98/48.80 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8784, 451, 8731])).
% 76.98/48.80 tff(8786,plain,
% 76.98/48.80 (~v129(constB78, bitIndex2)),
% 76.98/48.80 inference(unit_resolution,[status(thm)],[8785, 8781])).
% 76.98/48.80 tff(8787,plain,
% 76.98/48.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8788,plain,
% 76.98/48.81 (((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2)) <=> ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8789,plain,
% 76.98/48.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))))),
% 76.98/48.81 inference(monotonicity,[status(thm)],[8788])).
% 76.98/48.81 tff(8790,plain,
% 76.98/48.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 76.98/48.81 inference(transitivity,[status(thm)],[8789, 8787])).
% 76.98/48.81 tff(8791,plain,
% 76.98/48.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))),
% 76.98/48.81 inference(quant_inst,[status(thm)],[])).
% 76.98/48.81 tff(8792,plain,
% 76.98/48.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 76.98/48.81 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 76.98/48.81 tff(8793,plain,
% 76.98/48.81 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 76.98/48.81 inference(unit_resolution,[status(thm)],[8792, 655, 8786])).
% 76.98/48.81 tff(8794,plain,
% 76.98/48.81 (~v90(constB78, bitIndex2)),
% 76.98/48.81 inference(unit_resolution,[status(thm)],[8793, 8765])).
% 76.98/48.81 tff(8795,plain,
% 76.98/48.81 ((~v1(constB79)) <=> (~v1(constB79))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8796,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 76.98/48.81 tff(8797,plain,
% 76.98/48.81 (~v1(constB79)),
% 76.98/48.81 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 76.98/48.81 tff(8798,plain,
% 76.98/48.81 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8799,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 76.98/48.81 tff(8800,plain,
% 76.98/48.81 (nextState(constB78, constB79)),
% 76.98/48.81 inference(modus_ponens,[status(thm)],[8799, 8798])).
% 76.98/48.81 tff(8801,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8802,plain,
% 76.98/48.81 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8803,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 76.98/48.81 inference(monotonicity,[status(thm)],[8802])).
% 76.98/48.81 tff(8804,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 76.98/48.81 inference(transitivity,[status(thm)],[8803, 8801])).
% 76.98/48.81 tff(8805,plain,
% 76.98/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 76.98/48.81 inference(quant_inst,[status(thm)],[])).
% 76.98/48.81 tff(8806,plain,
% 76.98/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 76.98/48.81 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 76.98/48.81 tff(8807,plain,
% 76.98/48.81 (~v101(constB79)),
% 76.98/48.81 inference(unit_resolution,[status(thm)],[8806, 307, 8800, 8797])).
% 76.98/48.81 tff(8808,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8809,plain,
% 76.98/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 76.98/48.81 inference(quant_inst,[status(thm)],[])).
% 76.98/48.81 tff(8810,plain,
% 76.98/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 76.98/48.81 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 76.98/48.81 tff(8811,plain,
% 76.98/48.81 (v101(constB79) | (~v100(constB79))),
% 76.98/48.81 inference(unit_resolution,[status(thm)],[8810, 324, 8800])).
% 76.98/48.81 tff(8812,plain,
% 76.98/48.81 (~v100(constB79)),
% 76.98/48.81 inference(unit_resolution,[status(thm)],[8811, 8807])).
% 76.98/48.81 tff(8813,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8814,plain,
% 76.98/48.81 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 76.98/48.81 inference(rewrite,[status(thm)],[])).
% 76.98/48.81 tff(8815,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 76.98/48.81 inference(monotonicity,[status(thm)],[8814])).
% 76.98/48.81 tff(8816,plain,
% 76.98/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 76.98/48.81 inference(transitivity,[status(thm)],[8815, 8813])).
% 76.98/48.81 tff(8817,plain,
% 76.98/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 77.01/48.81 inference(quant_inst,[status(thm)],[])).
% 77.01/48.81 tff(8818,plain,
% 77.01/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 77.01/48.81 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 77.01/48.81 tff(8819,plain,
% 77.01/48.81 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8818, 339, 8800])).
% 77.01/48.81 tff(8820,plain,
% 77.01/48.81 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8819, 8812])).
% 77.01/48.81 tff(8821,plain,
% 77.01/48.81 (~v90(constB79, bitIndex2)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8820, 8794])).
% 77.01/48.81 tff(8822,plain,
% 77.01/48.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8823,plain,
% 77.01/48.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))),
% 77.01/48.81 inference(quant_inst,[status(thm)],[])).
% 77.01/48.81 tff(8824,plain,
% 77.01/48.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1)),
% 77.01/48.81 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 77.01/48.81 tff(8825,plain,
% 77.01/48.81 (v130(constB77, bitIndex1)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8824, 1321, 8688])).
% 77.01/48.81 tff(8826,plain,
% 77.01/48.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8827,plain,
% 77.01/48.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 77.01/48.81 inference(quant_inst,[status(thm)],[])).
% 77.01/48.81 tff(8828,plain,
% 77.01/48.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 77.01/48.81 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 77.01/48.81 tff(8829,plain,
% 77.01/48.81 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8828, 1031, 8773])).
% 77.01/48.81 tff(8830,plain,
% 77.01/48.81 (v127(constB77, bitIndex1)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8829, 8825])).
% 77.01/48.81 tff(8831,plain,
% 77.01/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8832,plain,
% 77.01/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 77.01/48.81 inference(quant_inst,[status(thm)],[])).
% 77.01/48.81 tff(8833,plain,
% 77.01/48.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 77.01/48.81 inference(modus_ponens,[status(thm)],[8832, 8831])).
% 77.01/48.81 tff(8834,plain,
% 77.01/48.81 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8833, 1046, 8731])).
% 77.01/48.81 tff(8835,plain,
% 77.01/48.81 (v129(constB78, bitIndex1)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8834, 8830])).
% 77.01/48.81 tff(8836,plain,
% 77.01/48.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8837,plain,
% 77.01/48.81 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8838,plain,
% 77.01/48.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 77.01/48.81 inference(monotonicity,[status(thm)],[8837])).
% 77.01/48.81 tff(8839,plain,
% 77.01/48.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 77.01/48.81 inference(transitivity,[status(thm)],[8838, 8836])).
% 77.01/48.81 tff(8840,plain,
% 77.01/48.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 77.01/48.81 inference(quant_inst,[status(thm)],[])).
% 77.01/48.81 tff(8841,plain,
% 77.01/48.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 77.01/48.81 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 77.01/48.81 tff(8842,plain,
% 77.01/48.81 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8841, 1061, 8835])).
% 77.01/48.81 tff(8843,plain,
% 77.01/48.81 (v90(constB78, bitIndex1)),
% 77.01/48.81 inference(unit_resolution,[status(thm)],[8842, 8765])).
% 77.01/48.81 tff(8844,plain,
% 77.01/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8845,plain,
% 77.01/48.81 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 77.01/48.81 inference(rewrite,[status(thm)],[])).
% 77.01/48.81 tff(8846,plain,
% 77.01/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 77.01/48.81 inference(monotonicity,[status(thm)],[8845])).
% 77.01/48.81 tff(8847,plain,
% 77.01/48.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 77.01/48.82 inference(transitivity,[status(thm)],[8846, 8844])).
% 77.01/48.82 tff(8848,plain,
% 77.01/48.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8849,plain,
% 77.01/48.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 77.01/48.82 tff(8850,plain,
% 77.01/48.82 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8849, 1079, 8800])).
% 77.01/48.82 tff(8851,plain,
% 77.01/48.82 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8850, 8812])).
% 77.01/48.82 tff(8852,plain,
% 77.01/48.82 (v90(constB79, bitIndex1)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8851, 8843])).
% 77.01/48.82 tff(8853,plain,
% 77.01/48.82 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8854,plain,
% 77.01/48.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8855,plain,
% 77.01/48.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0)),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8854, 8853])).
% 77.01/48.82 tff(8856,plain,
% 77.01/48.82 (v130(constB77, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8855, 1362, 8688])).
% 77.01/48.82 tff(8857,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8858,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8859,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8858, 8857])).
% 77.01/48.82 tff(8860,plain,
% 77.01/48.82 ((~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8859, 788, 8773])).
% 77.01/48.82 tff(8861,plain,
% 77.01/48.82 (v127(constB77, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8860, 8856])).
% 77.01/48.82 tff(8862,plain,
% 77.01/48.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8863,plain,
% 77.01/48.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8864,plain,
% 77.01/48.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 77.01/48.82 tff(8865,plain,
% 77.01/48.82 ((~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8864, 803, 8731])).
% 77.01/48.82 tff(8866,plain,
% 77.01/48.82 (v129(constB78, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8865, 8861])).
% 77.01/48.82 tff(8867,plain,
% 77.01/48.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8868,plain,
% 77.01/48.82 ((v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8869,plain,
% 77.01/48.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))))),
% 77.01/48.82 inference(monotonicity,[status(thm)],[8868])).
% 77.01/48.82 tff(8870,plain,
% 77.01/48.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 77.01/48.82 inference(transitivity,[status(thm)],[8869, 8867])).
% 77.01/48.82 tff(8871,plain,
% 77.01/48.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8872,plain,
% 77.01/48.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 77.01/48.82 tff(8873,plain,
% 77.01/48.82 (v90(constB78, bitIndex0) | (~v100(constB78))),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8872, 818, 8866])).
% 77.01/48.82 tff(8874,plain,
% 77.01/48.82 (v90(constB78, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8873, 8765])).
% 77.01/48.82 tff(8875,plain,
% 77.01/48.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8876,plain,
% 77.01/48.82 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8877,plain,
% 77.01/48.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)))),
% 77.01/48.82 inference(monotonicity,[status(thm)],[8876])).
% 77.01/48.82 tff(8878,plain,
% 77.01/48.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 77.01/48.82 inference(transitivity,[status(thm)],[8877, 8875])).
% 77.01/48.82 tff(8879,plain,
% 77.01/48.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8880,plain,
% 77.01/48.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 77.01/48.82 tff(8881,plain,
% 77.01/48.82 ((~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8880, 836, 8800])).
% 77.01/48.82 tff(8882,plain,
% 77.01/48.82 ((~v90(constB78, bitIndex0)) | v90(constB79, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8881, 8812])).
% 77.01/48.82 tff(8883,plain,
% 77.01/48.82 (v90(constB79, bitIndex0)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8882, 8874])).
% 77.01/48.82 tff(8884,plain,
% 77.01/48.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8885,plain,
% 77.01/48.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8886,plain,
% 77.01/48.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 77.01/48.82 tff(8887,plain,
% 77.01/48.82 (v122(constB79)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8886, 1403, 8883, 8852, 8821])).
% 77.01/48.82 tff(8888,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8889,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8890,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79))),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 77.01/48.82 tff(8891,plain,
% 77.01/48.82 (v116(constB79)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8890, 1470, 8887])).
% 77.01/48.82 tff(8892,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8893,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8894,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79))),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 77.01/48.82 tff(8895,plain,
% 77.01/48.82 (v115(constB79)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8894, 519, 8891])).
% 77.01/48.82 tff(8896,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8897,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8898,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79))),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8897, 8896])).
% 77.01/48.82 tff(8899,plain,
% 77.01/48.82 (v114(constB79)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8898, 530, 8895])).
% 77.01/48.82 tff(8900,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8901,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8902,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79))),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8901, 8900])).
% 77.01/48.82 tff(8903,plain,
% 77.01/48.82 (v113(constB79)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8902, 541, 8899])).
% 77.01/48.82 tff(8904,assumption,(v26(constB79)), introduced(assumption)).
% 77.01/48.82 tff(8905,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8906,plain,
% 77.01/48.82 ($false),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8905, 14, 8904])).
% 77.01/48.82 tff(8907,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 77.01/48.82 tff(8908,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8909,plain,
% 77.01/48.82 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8910,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 77.01/48.82 inference(monotonicity,[status(thm)],[8909])).
% 77.01/48.82 tff(8911,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 77.01/48.82 inference(transitivity,[status(thm)],[8910, 8908])).
% 77.01/48.82 tff(8912,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 77.01/48.82 inference(quant_inst,[status(thm)],[])).
% 77.01/48.82 tff(8913,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 77.01/48.82 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 77.01/48.82 tff(8914,plain,
% 77.01/48.82 (v112(constB79) | (~v113(constB79))),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8913, 555, 8907])).
% 77.01/48.82 tff(8915,plain,
% 77.01/48.82 (v112(constB79)),
% 77.01/48.82 inference(unit_resolution,[status(thm)],[8914, 8903])).
% 77.01/48.82 tff(8916,plain,
% 77.01/48.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79)))),
% 77.01/48.82 inference(rewrite,[status(thm)],[])).
% 77.01/48.82 tff(8917,plain,
% 77.01/48.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))),
% 77.01/48.83 inference(quant_inst,[status(thm)],[])).
% 77.01/48.83 tff(8918,plain,
% 77.01/48.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79))),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 77.01/48.83 tff(8919,plain,
% 77.01/48.83 (v108(constB79)),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8918, 464, 8915])).
% 77.01/48.83 tff(8920,plain,
% 77.01/48.83 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8921,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 77.01/48.83 tff(8922,plain,
% 77.01/48.83 (nextState(constB79, constB80)),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 77.01/48.83 tff(8923,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8924,plain,
% 77.01/48.83 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8925,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 77.01/48.83 inference(monotonicity,[status(thm)],[8924])).
% 77.01/48.83 tff(8926,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 77.01/48.83 inference(transitivity,[status(thm)],[8925, 8923])).
% 77.01/48.83 tff(8927,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 77.01/48.83 inference(quant_inst,[status(thm)],[])).
% 77.01/48.83 tff(8928,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 77.01/48.83 tff(8929,plain,
% 77.01/48.83 (v110(constB80) | (~v108(constB79))),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8928, 571, 8922])).
% 77.01/48.83 tff(8930,plain,
% 77.01/48.83 (v110(constB80)),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8929, 8919])).
% 77.01/48.83 tff(8931,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8932,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 77.01/48.83 inference(quant_inst,[status(thm)],[])).
% 77.01/48.83 tff(8933,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 77.01/48.83 tff(8934,plain,
% 77.01/48.83 (~v104(constB80)),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8933, 589, 8922, 8797])).
% 77.01/48.83 tff(8935,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8936,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 77.01/48.83 inference(quant_inst,[status(thm)],[])).
% 77.01/48.83 tff(8937,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 77.01/48.83 tff(8938,plain,
% 77.01/48.83 (v102(constB80) | v104(constB80)),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8937, 603, 8922])).
% 77.01/48.83 tff(8939,plain,
% 77.01/48.83 (v102(constB80)),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8938, 8934])).
% 77.01/48.83 tff(8940,plain,
% 77.01/48.83 (v1(constB80) <=> v1(constB80)),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8941,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 77.01/48.83 tff(8942,plain,
% 77.01/48.83 (v1(constB80)),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 77.01/48.83 tff(8943,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8944,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 77.01/48.83 inference(quant_inst,[status(thm)],[])).
% 77.01/48.83 tff(8945,plain,
% 77.01/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 77.01/48.83 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 77.01/48.83 tff(8946,plain,
% 77.01/48.83 (v101(constB80) | (~v102(constB80))),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8945, 621, 8922, 8942])).
% 77.01/48.83 tff(8947,plain,
% 77.01/48.83 (v101(constB80)),
% 77.01/48.83 inference(unit_resolution,[status(thm)],[8946, 8939])).
% 77.01/48.83 tff(8948,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8949,plain,
% 77.01/48.83 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 77.01/48.83 inference(rewrite,[status(thm)],[])).
% 77.01/48.83 tff(8950,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 77.01/48.83 inference(monotonicity,[status(thm)],[8949])).
% 77.01/48.83 tff(8951,plain,
% 77.01/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 77.03/48.83 inference(transitivity,[status(thm)],[8950, 8948])).
% 77.03/48.83 tff(8952,plain,
% 77.03/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 77.03/48.83 inference(quant_inst,[status(thm)],[])).
% 77.03/48.83 tff(8953,plain,
% 77.03/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 77.03/48.83 tff(8954,plain,
% 77.03/48.83 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8953, 636, 8922])).
% 77.03/48.83 tff(8955,plain,
% 77.03/48.83 (v100(constB80) | (~v110(constB80))),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8954, 8947])).
% 77.03/48.83 tff(8956,plain,
% 77.03/48.83 (v100(constB80)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8955, 8930])).
% 77.03/48.83 tff(8957,plain,
% 77.03/48.83 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8958,plain,
% 77.03/48.83 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))),
% 77.03/48.83 inference(quant_inst,[status(thm)],[])).
% 77.03/48.83 tff(8959,plain,
% 77.03/48.83 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2)),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 77.03/48.83 tff(8960,plain,
% 77.03/48.83 (v130(constB79, bitIndex2)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8959, 1417, 8887])).
% 77.03/48.83 tff(8961,plain,
% 77.03/48.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8962,plain,
% 77.03/48.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 77.03/48.83 inference(quant_inst,[status(thm)],[])).
% 77.03/48.83 tff(8963,plain,
% 77.03/48.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8962, 8961])).
% 77.03/48.83 tff(8964,plain,
% 77.03/48.83 ((~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8963, 1431, 8907])).
% 77.03/48.83 tff(8965,plain,
% 77.03/48.83 (v127(constB79, bitIndex2)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8964, 8960])).
% 77.03/48.83 tff(8966,plain,
% 77.03/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8967,plain,
% 77.03/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 77.03/48.83 inference(quant_inst,[status(thm)],[])).
% 77.03/48.83 tff(8968,plain,
% 77.03/48.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 77.03/48.83 tff(8969,plain,
% 77.03/48.83 ((~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8968, 1449, 8922])).
% 77.03/48.83 tff(8970,plain,
% 77.03/48.83 (v129(constB80, bitIndex2)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8969, 8965])).
% 77.03/48.83 tff(8971,plain,
% 77.03/48.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8972,plain,
% 77.03/48.83 ((v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8973,plain,
% 77.03/48.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))))),
% 77.03/48.83 inference(monotonicity,[status(thm)],[8972])).
% 77.03/48.83 tff(8974,plain,
% 77.03/48.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 77.03/48.83 inference(transitivity,[status(thm)],[8973, 8971])).
% 77.03/48.83 tff(8975,plain,
% 77.03/48.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))),
% 77.03/48.83 inference(quant_inst,[status(thm)],[])).
% 77.03/48.83 tff(8976,plain,
% 77.03/48.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 77.03/48.83 tff(8977,plain,
% 77.03/48.83 (v90(constB80, bitIndex2) | (~v100(constB80))),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8976, 1539, 8970])).
% 77.03/48.83 tff(8978,plain,
% 77.03/48.83 (v90(constB80, bitIndex2)),
% 77.03/48.83 inference(unit_resolution,[status(thm)],[8977, 8956])).
% 77.03/48.83 tff(8979,plain,
% 77.03/48.83 ((~v1(constB81)) <=> (~v1(constB81))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8980,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 77.03/48.83 tff(8981,plain,
% 77.03/48.83 (~v1(constB81)),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 77.03/48.83 tff(8982,plain,
% 77.03/48.83 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8983,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 77.03/48.83 tff(8984,plain,
% 77.03/48.83 (nextState(constB80, constB81)),
% 77.03/48.83 inference(modus_ponens,[status(thm)],[8983, 8982])).
% 77.03/48.83 tff(8985,plain,
% 77.03/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8986,plain,
% 77.03/48.83 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 77.03/48.83 inference(rewrite,[status(thm)],[])).
% 77.03/48.83 tff(8987,plain,
% 77.03/48.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 77.03/48.84 inference(monotonicity,[status(thm)],[8986])).
% 77.03/48.84 tff(8988,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 77.03/48.84 inference(transitivity,[status(thm)],[8987, 8985])).
% 77.03/48.84 tff(8989,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(8990,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[8989, 8988])).
% 77.03/48.84 tff(8991,plain,
% 77.03/48.84 (~v101(constB81)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[8990, 307, 8984, 8981])).
% 77.03/48.84 tff(8992,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(8993,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(8994,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 77.03/48.84 tff(8995,plain,
% 77.03/48.84 (v101(constB81) | (~v100(constB81))),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[8994, 324, 8984])).
% 77.03/48.84 tff(8996,plain,
% 77.03/48.84 (~v100(constB81)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[8995, 8991])).
% 77.03/48.84 tff(8997,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(8998,plain,
% 77.03/48.84 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(8999,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)))),
% 77.03/48.84 inference(monotonicity,[status(thm)],[8998])).
% 77.03/48.84 tff(9000,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 77.03/48.84 inference(transitivity,[status(thm)],[8999, 8997])).
% 77.03/48.84 tff(9001,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(9002,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[9001, 9000])).
% 77.03/48.84 tff(9003,plain,
% 77.03/48.84 ((~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9002, 1575, 8984])).
% 77.03/48.84 tff(9004,plain,
% 77.03/48.84 ((~v90(constB80, bitIndex2)) | v90(constB81, bitIndex2)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9003, 8996])).
% 77.03/48.84 tff(9005,plain,
% 77.03/48.84 (v90(constB81, bitIndex2)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9004, 8978])).
% 77.03/48.84 tff(9006,plain,
% 77.03/48.84 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(9007,plain,
% 77.03/48.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(9008,plain,
% 77.03/48.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1))),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 77.03/48.84 tff(9009,plain,
% 77.03/48.84 (~v130(constB79, bitIndex1)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9008, 1594, 8887])).
% 77.03/48.84 tff(9010,plain,
% 77.03/48.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(9011,plain,
% 77.03/48.84 ((v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1))) <=> ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(9012,plain,
% 77.03/48.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)))),
% 77.03/48.84 inference(monotonicity,[status(thm)],[9011])).
% 77.03/48.84 tff(9013,plain,
% 77.03/48.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 77.03/48.84 inference(transitivity,[status(thm)],[9012, 9010])).
% 77.03/48.84 tff(9014,plain,
% 77.03/48.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(9015,plain,
% 77.03/48.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[9014, 9013])).
% 77.03/48.84 tff(9016,plain,
% 77.03/48.84 ((~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9015, 714, 8907])).
% 77.03/48.84 tff(9017,plain,
% 77.03/48.84 (~v127(constB79, bitIndex1)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9016, 9009])).
% 77.03/48.84 tff(9018,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(9019,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(9020,plain,
% 77.03/48.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 77.03/48.84 tff(9021,plain,
% 77.03/48.84 (v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9020, 732, 8922])).
% 77.03/48.84 tff(9022,plain,
% 77.03/48.84 (~v129(constB80, bitIndex1)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9021, 9017])).
% 77.03/48.84 tff(9023,plain,
% 77.03/48.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(9024,plain,
% 77.03/48.84 (((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 77.03/48.84 inference(rewrite,[status(thm)],[])).
% 77.03/48.84 tff(9025,plain,
% 77.03/48.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))))),
% 77.03/48.84 inference(monotonicity,[status(thm)],[9024])).
% 77.03/48.84 tff(9026,plain,
% 77.03/48.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 77.03/48.84 inference(transitivity,[status(thm)],[9025, 9023])).
% 77.03/48.84 tff(9027,plain,
% 77.03/48.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))),
% 77.03/48.84 inference(quant_inst,[status(thm)],[])).
% 77.03/48.84 tff(9028,plain,
% 77.03/48.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))),
% 77.03/48.84 inference(modus_ponens,[status(thm)],[9027, 9026])).
% 77.03/48.84 tff(9029,plain,
% 77.03/48.84 ((~v90(constB80, bitIndex1)) | (~v100(constB80))),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9028, 747, 9022])).
% 77.03/48.84 tff(9030,plain,
% 77.03/48.84 (~v90(constB80, bitIndex1)),
% 77.03/48.84 inference(unit_resolution,[status(thm)],[9029, 8956])).
% 77.03/48.84 tff(9031,plain,
% 77.03/48.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9032,plain,
% 77.03/48.85 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9033,plain,
% 77.03/48.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))))),
% 77.03/48.85 inference(monotonicity,[status(thm)],[9032])).
% 77.03/48.85 tff(9034,plain,
% 77.03/48.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 77.03/48.85 inference(transitivity,[status(thm)],[9033, 9031])).
% 77.03/48.85 tff(9035,plain,
% 77.03/48.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9036,plain,
% 77.03/48.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9035, 9034])).
% 77.03/48.85 tff(9037,plain,
% 77.03/48.85 (v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9036, 360, 8984])).
% 77.03/48.85 tff(9038,plain,
% 77.03/48.85 (v90(constB80, bitIndex1) | (~v90(constB81, bitIndex1))),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9037, 8996])).
% 77.03/48.85 tff(9039,plain,
% 77.03/48.85 (~v90(constB81, bitIndex1)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9038, 9030])).
% 77.03/48.85 tff(9040,plain,
% 77.03/48.85 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9041,plain,
% 77.03/48.85 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9042,plain,
% 77.03/48.85 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 77.03/48.85 tff(9043,plain,
% 77.03/48.85 (~v130(constB79, bitIndex0)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9042, 1638, 8887])).
% 77.03/48.85 tff(9044,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9045,plain,
% 77.03/48.85 ((v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0))) <=> ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9046,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)))),
% 77.03/48.85 inference(monotonicity,[status(thm)],[9045])).
% 77.03/48.85 tff(9047,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 77.03/48.85 inference(transitivity,[status(thm)],[9046, 9044])).
% 77.03/48.85 tff(9048,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9049,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 77.03/48.85 tff(9050,plain,
% 77.03/48.85 ((~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9049, 1112, 8907])).
% 77.03/48.85 tff(9051,plain,
% 77.03/48.85 (~v127(constB79, bitIndex0)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9050, 9043])).
% 77.03/48.85 tff(9052,plain,
% 77.03/48.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9053,plain,
% 77.03/48.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9054,plain,
% 77.03/48.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9053, 9052])).
% 77.03/48.85 tff(9055,plain,
% 77.03/48.85 (v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9054, 1130, 8922])).
% 77.03/48.85 tff(9056,plain,
% 77.03/48.85 (~v129(constB80, bitIndex0)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9055, 9051])).
% 77.03/48.85 tff(9057,plain,
% 77.03/48.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9058,plain,
% 77.03/48.85 (((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9059,plain,
% 77.03/48.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))))),
% 77.03/48.85 inference(monotonicity,[status(thm)],[9058])).
% 77.03/48.85 tff(9060,plain,
% 77.03/48.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 77.03/48.85 inference(transitivity,[status(thm)],[9059, 9057])).
% 77.03/48.85 tff(9061,plain,
% 77.03/48.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9062,plain,
% 77.03/48.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 77.03/48.85 tff(9063,plain,
% 77.03/48.85 ((~v90(constB80, bitIndex0)) | (~v100(constB80))),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9062, 1145, 9056])).
% 77.03/48.85 tff(9064,plain,
% 77.03/48.85 (~v90(constB80, bitIndex0)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9063, 8956])).
% 77.03/48.85 tff(9065,plain,
% 77.03/48.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9066,plain,
% 77.03/48.85 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9067,plain,
% 77.03/48.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))))),
% 77.03/48.85 inference(monotonicity,[status(thm)],[9066])).
% 77.03/48.85 tff(9068,plain,
% 77.03/48.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 77.03/48.85 inference(transitivity,[status(thm)],[9067, 9065])).
% 77.03/48.85 tff(9069,plain,
% 77.03/48.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9070,plain,
% 77.03/48.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 77.03/48.85 tff(9071,plain,
% 77.03/48.85 (v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9070, 381, 8984])).
% 77.03/48.85 tff(9072,plain,
% 77.03/48.85 (v90(constB80, bitIndex0) | (~v90(constB81, bitIndex0))),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9071, 8996])).
% 77.03/48.85 tff(9073,plain,
% 77.03/48.85 (~v90(constB81, bitIndex0)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9072, 9064])).
% 77.03/48.85 tff(9074,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9075,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9076,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81)),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9075, 9074])).
% 77.03/48.85 tff(9077,plain,
% 77.03/48.85 (v123(constB81)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9076, 1682, 9073, 9039, 9005])).
% 77.03/48.85 tff(9078,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9079,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9080,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 77.03/48.85 tff(9081,plain,
% 77.03/48.85 (v115(constB81)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9080, 1693, 9077])).
% 77.03/48.85 tff(9082,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9083,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9084,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 77.03/48.85 tff(9085,plain,
% 77.03/48.85 (v114(constB81)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9084, 530, 9081])).
% 77.03/48.85 tff(9086,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81)))),
% 77.03/48.85 inference(rewrite,[status(thm)],[])).
% 77.03/48.85 tff(9087,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9088,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81))),
% 77.03/48.85 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 77.03/48.85 tff(9089,plain,
% 77.03/48.85 (v113(constB81)),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9088, 541, 9085])).
% 77.03/48.85 tff(9090,assumption,(v26(constB81)), introduced(assumption)).
% 77.03/48.85 tff(9091,plain,
% 77.03/48.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 77.03/48.85 inference(quant_inst,[status(thm)],[])).
% 77.03/48.85 tff(9092,plain,
% 77.03/48.85 ($false),
% 77.03/48.85 inference(unit_resolution,[status(thm)],[9091, 14, 9090])).
% 77.03/48.85 tff(9093,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 77.03/48.85 tff(9094,plain,
% 77.03/48.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9095,plain,
% 77.03/48.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9096,plain,
% 77.03/48.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 77.03/48.86 tff(9097,plain,
% 77.03/48.86 ((~v113(constB81)) | v112(constB81)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9096, 555, 9093])).
% 77.03/48.86 tff(9098,plain,
% 77.03/48.86 (v112(constB81)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9097, 9089])).
% 77.03/48.86 tff(9099,plain,
% 77.03/48.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9100,plain,
% 77.03/48.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9101,plain,
% 77.03/48.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81))),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9100, 9099])).
% 77.03/48.86 tff(9102,plain,
% 77.03/48.86 (v108(constB81)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9101, 464, 9098])).
% 77.03/48.86 tff(9103,plain,
% 77.03/48.86 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9104,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 77.03/48.86 tff(9105,plain,
% 77.03/48.86 (nextState(constB81, constB82)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 77.03/48.86 tff(9106,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9107,plain,
% 77.03/48.86 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9108,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 77.03/48.86 inference(monotonicity,[status(thm)],[9107])).
% 77.03/48.86 tff(9109,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 77.03/48.86 inference(transitivity,[status(thm)],[9108, 9106])).
% 77.03/48.86 tff(9110,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9111,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9110, 9109])).
% 77.03/48.86 tff(9112,plain,
% 77.03/48.86 (v110(constB82) | (~v108(constB81))),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9111, 571, 9105])).
% 77.03/48.86 tff(9113,plain,
% 77.03/48.86 (v110(constB82)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9112, 9102])).
% 77.03/48.86 tff(9114,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9115,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9116,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 77.03/48.86 tff(9117,plain,
% 77.03/48.86 (~v104(constB82)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9116, 589, 9105, 8981])).
% 77.03/48.86 tff(9118,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9119,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9120,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 77.03/48.86 tff(9121,plain,
% 77.03/48.86 (v102(constB82) | v104(constB82)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9120, 603, 9105])).
% 77.03/48.86 tff(9122,plain,
% 77.03/48.86 (v102(constB82)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9121, 9117])).
% 77.03/48.86 tff(9123,plain,
% 77.03/48.86 (v1(constB82) <=> v1(constB82)),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9124,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 77.03/48.86 tff(9125,plain,
% 77.03/48.86 (v1(constB82)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 77.03/48.86 tff(9126,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9127,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9128,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 77.03/48.86 tff(9129,plain,
% 77.03/48.86 (v101(constB82) | (~v102(constB82))),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9128, 621, 9105, 9125])).
% 77.03/48.86 tff(9130,plain,
% 77.03/48.86 (v101(constB82)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9129, 9122])).
% 77.03/48.86 tff(9131,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9132,plain,
% 77.03/48.86 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9133,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 77.03/48.86 inference(monotonicity,[status(thm)],[9132])).
% 77.03/48.86 tff(9134,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 77.03/48.86 inference(transitivity,[status(thm)],[9133, 9131])).
% 77.03/48.86 tff(9135,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9136,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9135, 9134])).
% 77.03/48.86 tff(9137,plain,
% 77.03/48.86 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9136, 636, 9105])).
% 77.03/48.86 tff(9138,plain,
% 77.03/48.86 (v100(constB82) | (~v110(constB82))),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9137, 9130])).
% 77.03/48.86 tff(9139,plain,
% 77.03/48.86 (v100(constB82)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9138, 9113])).
% 77.03/48.86 tff(9140,plain,
% 77.03/48.86 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9141,plain,
% 77.03/48.86 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9142,plain,
% 77.03/48.86 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 77.03/48.86 tff(9143,plain,
% 77.03/48.86 (v130(constB81, bitIndex2)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9142, 1877, 9077])).
% 77.03/48.86 tff(9144,plain,
% 77.03/48.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9145,plain,
% 77.03/48.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9146,plain,
% 77.03/48.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 77.03/48.86 tff(9147,plain,
% 77.03/48.86 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9146, 1431, 9093])).
% 77.03/48.86 tff(9148,plain,
% 77.03/48.86 (v127(constB81, bitIndex2)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9147, 9143])).
% 77.03/48.86 tff(9149,plain,
% 77.03/48.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9150,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9151,plain,
% 77.03/48.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 77.03/48.86 tff(9152,plain,
% 77.03/48.86 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9151, 1449, 9105])).
% 77.03/48.86 tff(9153,plain,
% 77.03/48.86 (v129(constB82, bitIndex2)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9152, 9148])).
% 77.03/48.86 tff(9154,plain,
% 77.03/48.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9155,plain,
% 77.03/48.86 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9156,plain,
% 77.03/48.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 77.03/48.86 inference(monotonicity,[status(thm)],[9155])).
% 77.03/48.86 tff(9157,plain,
% 77.03/48.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 77.03/48.86 inference(transitivity,[status(thm)],[9156, 9154])).
% 77.03/48.86 tff(9158,plain,
% 77.03/48.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 77.03/48.86 inference(quant_inst,[status(thm)],[])).
% 77.03/48.86 tff(9159,plain,
% 77.03/48.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9158, 9157])).
% 77.03/48.86 tff(9160,plain,
% 77.03/48.86 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9159, 1539, 9153])).
% 77.03/48.86 tff(9161,plain,
% 77.03/48.86 (v90(constB82, bitIndex2)),
% 77.03/48.86 inference(unit_resolution,[status(thm)],[9160, 9139])).
% 77.03/48.86 tff(9162,plain,
% 77.03/48.86 ((~v1(constB83)) <=> (~v1(constB83))),
% 77.03/48.86 inference(rewrite,[status(thm)],[])).
% 77.03/48.86 tff(9163,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 77.03/48.86 tff(9164,plain,
% 77.03/48.86 (~v1(constB83)),
% 77.03/48.86 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 77.03/48.86 tff(9165,plain,
% 77.03/48.86 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9166,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 77.03/48.87 tff(9167,plain,
% 77.03/48.87 (nextState(constB82, constB83)),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 77.03/48.87 tff(9168,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9169,plain,
% 77.03/48.87 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9170,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 77.03/48.87 inference(monotonicity,[status(thm)],[9169])).
% 77.03/48.87 tff(9171,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 77.03/48.87 inference(transitivity,[status(thm)],[9170, 9168])).
% 77.03/48.87 tff(9172,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 77.03/48.87 inference(quant_inst,[status(thm)],[])).
% 77.03/48.87 tff(9173,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9172, 9171])).
% 77.03/48.87 tff(9174,plain,
% 77.03/48.87 (~v101(constB83)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9173, 307, 9167, 9164])).
% 77.03/48.87 tff(9175,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9176,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 77.03/48.87 inference(quant_inst,[status(thm)],[])).
% 77.03/48.87 tff(9177,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9176, 9175])).
% 77.03/48.87 tff(9178,plain,
% 77.03/48.87 (v101(constB83) | (~v100(constB83))),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9177, 324, 9167])).
% 77.03/48.87 tff(9179,plain,
% 77.03/48.87 (~v100(constB83)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9178, 9174])).
% 77.03/48.87 tff(9180,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9181,plain,
% 77.03/48.87 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9182,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 77.03/48.87 inference(monotonicity,[status(thm)],[9181])).
% 77.03/48.87 tff(9183,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 77.03/48.87 inference(transitivity,[status(thm)],[9182, 9180])).
% 77.03/48.87 tff(9184,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 77.03/48.87 inference(quant_inst,[status(thm)],[])).
% 77.03/48.87 tff(9185,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 77.03/48.87 tff(9186,plain,
% 77.03/48.87 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9185, 1575, 9167])).
% 77.03/48.87 tff(9187,plain,
% 77.03/48.87 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9186, 9179])).
% 77.03/48.87 tff(9188,plain,
% 77.03/48.87 (v90(constB83, bitIndex2)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9187, 9161])).
% 77.03/48.87 tff(9189,plain,
% 77.03/48.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9190,plain,
% 77.03/48.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 77.03/48.87 inference(quant_inst,[status(thm)],[])).
% 77.03/48.87 tff(9191,plain,
% 77.03/48.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1))),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 77.03/48.87 tff(9192,plain,
% 77.03/48.87 (~v130(constB81, bitIndex1)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9191, 1765, 9077])).
% 77.03/48.87 tff(9193,plain,
% 77.03/48.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9194,plain,
% 77.03/48.87 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9195,plain,
% 77.03/48.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 77.03/48.87 inference(monotonicity,[status(thm)],[9194])).
% 77.03/48.87 tff(9196,plain,
% 77.03/48.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 77.03/48.87 inference(transitivity,[status(thm)],[9195, 9193])).
% 77.03/48.87 tff(9197,plain,
% 77.03/48.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 77.03/48.87 inference(quant_inst,[status(thm)],[])).
% 77.03/48.87 tff(9198,plain,
% 77.03/48.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 77.03/48.87 tff(9199,plain,
% 77.03/48.87 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9198, 714, 9093])).
% 77.03/48.87 tff(9200,plain,
% 77.03/48.87 (~v127(constB81, bitIndex1)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9199, 9192])).
% 77.03/48.87 tff(9201,plain,
% 77.03/48.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9202,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 77.03/48.87 inference(quant_inst,[status(thm)],[])).
% 77.03/48.87 tff(9203,plain,
% 77.03/48.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 77.03/48.87 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 77.03/48.87 tff(9204,plain,
% 77.03/48.87 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9203, 732, 9105])).
% 77.03/48.87 tff(9205,plain,
% 77.03/48.87 (~v129(constB82, bitIndex1)),
% 77.03/48.87 inference(unit_resolution,[status(thm)],[9204, 9200])).
% 77.03/48.87 tff(9206,plain,
% 77.03/48.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9207,plain,
% 77.03/48.87 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 77.03/48.87 inference(rewrite,[status(thm)],[])).
% 77.03/48.87 tff(9208,plain,
% 77.03/48.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 77.03/48.87 inference(monotonicity,[status(thm)],[9207])).
% 77.03/48.87 tff(9209,plain,
% 77.03/48.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 77.03/48.88 inference(transitivity,[status(thm)],[9208, 9206])).
% 77.03/48.88 tff(9210,plain,
% 77.03/48.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9211,plain,
% 77.03/48.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9210, 9209])).
% 77.03/48.88 tff(9212,plain,
% 77.03/48.88 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9211, 747, 9205])).
% 77.03/48.88 tff(9213,plain,
% 77.03/48.88 (~v90(constB82, bitIndex1)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9212, 9139])).
% 77.03/48.88 tff(9214,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9215,plain,
% 77.03/48.88 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9216,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 77.03/48.88 inference(monotonicity,[status(thm)],[9215])).
% 77.03/48.88 tff(9217,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 77.03/48.88 inference(transitivity,[status(thm)],[9216, 9214])).
% 77.03/48.88 tff(9218,plain,
% 77.03/48.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9219,plain,
% 77.03/48.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9218, 9217])).
% 77.03/48.88 tff(9220,plain,
% 77.03/48.88 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9219, 360, 9167])).
% 77.03/48.88 tff(9221,plain,
% 77.03/48.88 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9220, 9179])).
% 77.03/48.88 tff(9222,plain,
% 77.03/48.88 (~v90(constB83, bitIndex1)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9221, 9213])).
% 77.03/48.88 tff(9223,plain,
% 77.03/48.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9224,plain,
% 77.03/48.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9225,plain,
% 77.03/48.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0)),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 77.03/48.88 tff(9226,plain,
% 77.03/48.88 (v130(constB81, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9225, 1836, 9077])).
% 77.03/48.88 tff(9227,plain,
% 77.03/48.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9228,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9229,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 77.03/48.88 tff(9230,plain,
% 77.03/48.88 ((~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9229, 788, 9093])).
% 77.03/48.88 tff(9231,plain,
% 77.03/48.88 (v127(constB81, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9230, 9226])).
% 77.03/48.88 tff(9232,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9233,plain,
% 77.03/48.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9234,plain,
% 77.03/48.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 77.03/48.88 tff(9235,plain,
% 77.03/48.88 ((~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9234, 803, 9105])).
% 77.03/48.88 tff(9236,plain,
% 77.03/48.88 (v129(constB82, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9235, 9231])).
% 77.03/48.88 tff(9237,plain,
% 77.03/48.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9238,plain,
% 77.03/48.88 ((v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9239,plain,
% 77.03/48.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))))),
% 77.03/48.88 inference(monotonicity,[status(thm)],[9238])).
% 77.03/48.88 tff(9240,plain,
% 77.03/48.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 77.03/48.88 inference(transitivity,[status(thm)],[9239, 9237])).
% 77.03/48.88 tff(9241,plain,
% 77.03/48.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9242,plain,
% 77.03/48.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 77.03/48.88 tff(9243,plain,
% 77.03/48.88 (v90(constB82, bitIndex0) | (~v100(constB82))),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9242, 818, 9236])).
% 77.03/48.88 tff(9244,plain,
% 77.03/48.88 (v90(constB82, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9243, 9139])).
% 77.03/48.88 tff(9245,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9246,plain,
% 77.03/48.88 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9247,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)))),
% 77.03/48.88 inference(monotonicity,[status(thm)],[9246])).
% 77.03/48.88 tff(9248,plain,
% 77.03/48.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 77.03/48.88 inference(transitivity,[status(thm)],[9247, 9245])).
% 77.03/48.88 tff(9249,plain,
% 77.03/48.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9250,plain,
% 77.03/48.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 77.03/48.88 tff(9251,plain,
% 77.03/48.88 ((~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9250, 836, 9167])).
% 77.03/48.88 tff(9252,plain,
% 77.03/48.88 ((~v90(constB82, bitIndex0)) | v90(constB83, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9251, 9179])).
% 77.03/48.88 tff(9253,plain,
% 77.03/48.88 (v90(constB83, bitIndex0)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9252, 9244])).
% 77.03/48.88 tff(9254,plain,
% 77.03/48.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9255,plain,
% 77.03/48.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9256,plain,
% 77.03/48.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83)),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 77.03/48.88 tff(9257,plain,
% 77.03/48.88 (v124(constB83)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9256, 1919, 9253, 9222, 9188])).
% 77.03/48.88 tff(9258,plain,
% 77.03/48.88 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9259,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9260,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83))),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 77.03/48.88 tff(9261,plain,
% 77.03/48.88 (v114(constB83)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9260, 1951, 9257])).
% 77.03/48.88 tff(9262,plain,
% 77.03/48.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9263,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9264,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83))),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 77.03/48.88 tff(9265,plain,
% 77.03/48.88 (v113(constB83)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9264, 541, 9261])).
% 77.03/48.88 tff(9266,assumption,(~v108(constB83)), introduced(assumption)).
% 77.03/48.88 tff(9267,plain,
% 77.03/48.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9268,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.88 tff(9269,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83))),
% 77.03/48.88 inference(modus_ponens,[status(thm)],[9268, 9267])).
% 77.03/48.88 tff(9270,plain,
% 77.03/48.88 (~v112(constB83)),
% 77.03/48.88 inference(unit_resolution,[status(thm)],[9269, 464, 9266])).
% 77.03/48.88 tff(9271,plain,
% 77.03/48.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB83) | (~v26(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB83) | (~v26(constB83)))),
% 77.03/48.88 inference(rewrite,[status(thm)],[])).
% 77.03/48.88 tff(9272,plain,
% 77.03/48.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB83) | (~v26(constB83)))),
% 77.03/48.88 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9273,plain,
% 77.03/48.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB83) | (~v26(constB83))),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 77.03/48.89 tff(9274,plain,
% 77.03/48.89 (~v26(constB83)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9273, 475, 9266])).
% 77.03/48.89 tff(9275,assumption,(v113(constB83)), introduced(assumption)).
% 77.03/48.89 tff(9276,plain,
% 77.03/48.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9277,plain,
% 77.03/48.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9278,plain,
% 77.03/48.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 77.03/48.89 tff(9279,plain,
% 77.03/48.89 (v26(constB83) | v112(constB83)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9278, 555, 9275])).
% 77.03/48.89 tff(9280,plain,
% 77.03/48.89 ($false),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9279, 9274, 9270])).
% 77.03/48.89 tff(9281,plain,(v108(constB83) | (~v113(constB83))), inference(lemma,lemma(discharge,[]))).
% 77.03/48.89 tff(9282,plain,
% 77.03/48.89 (v108(constB83)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9281, 9265])).
% 77.03/48.89 tff(9283,plain,
% 77.03/48.89 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9284,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 77.03/48.89 tff(9285,plain,
% 77.03/48.89 (nextState(constB83, constB84)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 77.03/48.89 tff(9286,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9287,plain,
% 77.03/48.89 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9288,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 77.03/48.89 inference(monotonicity,[status(thm)],[9287])).
% 77.03/48.89 tff(9289,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 77.03/48.89 inference(transitivity,[status(thm)],[9288, 9286])).
% 77.03/48.89 tff(9290,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9291,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 77.03/48.89 tff(9292,plain,
% 77.03/48.89 (v110(constB84) | (~v108(constB83))),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9291, 571, 9285])).
% 77.03/48.89 tff(9293,plain,
% 77.03/48.89 (v110(constB84)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9292, 9282])).
% 77.03/48.89 tff(9294,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9295,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9296,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 77.03/48.89 tff(9297,plain,
% 77.03/48.89 (~v104(constB84)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9296, 589, 9285, 9164])).
% 77.03/48.89 tff(9298,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9299,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9300,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 77.03/48.89 tff(9301,plain,
% 77.03/48.89 (v102(constB84) | v104(constB84)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9300, 603, 9285])).
% 77.03/48.89 tff(9302,plain,
% 77.03/48.89 (v102(constB84)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9301, 9297])).
% 77.03/48.89 tff(9303,plain,
% 77.03/48.89 (v1(constB84) <=> v1(constB84)),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9304,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 77.03/48.89 tff(9305,plain,
% 77.03/48.89 (v1(constB84)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9304, 9303])).
% 77.03/48.89 tff(9306,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9307,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9308,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 77.03/48.89 tff(9309,plain,
% 77.03/48.89 (v101(constB84) | (~v102(constB84))),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9308, 621, 9285, 9305])).
% 77.03/48.89 tff(9310,plain,
% 77.03/48.89 (v101(constB84)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9309, 9302])).
% 77.03/48.89 tff(9311,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9312,plain,
% 77.03/48.89 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9313,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 77.03/48.89 inference(monotonicity,[status(thm)],[9312])).
% 77.03/48.89 tff(9314,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 77.03/48.89 inference(transitivity,[status(thm)],[9313, 9311])).
% 77.03/48.89 tff(9315,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9316,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 77.03/48.89 tff(9317,plain,
% 77.03/48.89 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9316, 636, 9285])).
% 77.03/48.89 tff(9318,plain,
% 77.03/48.89 (v100(constB84) | (~v110(constB84))),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9317, 9310])).
% 77.03/48.89 tff(9319,plain,
% 77.03/48.89 (v100(constB84)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9318, 9293])).
% 77.03/48.89 tff(9320,plain,
% 77.03/48.89 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9321,plain,
% 77.03/48.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9322,plain,
% 77.03/48.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 77.03/48.89 tff(9323,plain,
% 77.03/48.89 (v130(constB83, bitIndex2)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9322, 2050, 9257])).
% 77.03/48.89 tff(9324,assumption,(v26(constB83)), introduced(assumption)).
% 77.03/48.89 tff(9325,plain,
% 77.03/48.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9326,plain,
% 77.03/48.89 ($false),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9325, 14, 9324])).
% 77.03/48.89 tff(9327,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 77.03/48.89 tff(9328,plain,
% 77.03/48.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9329,plain,
% 77.03/48.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9330,plain,
% 77.03/48.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 77.03/48.89 tff(9331,plain,
% 77.03/48.89 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9330, 1431, 9327])).
% 77.03/48.89 tff(9332,plain,
% 77.03/48.89 (v127(constB83, bitIndex2)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9331, 9323])).
% 77.03/48.89 tff(9333,plain,
% 77.03/48.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9334,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9335,plain,
% 77.03/48.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 77.03/48.89 tff(9336,plain,
% 77.03/48.89 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9335, 1449, 9285])).
% 77.03/48.89 tff(9337,plain,
% 77.03/48.89 (v129(constB84, bitIndex2)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9336, 9332])).
% 77.03/48.89 tff(9338,plain,
% 77.03/48.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9339,plain,
% 77.03/48.89 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 77.03/48.89 inference(rewrite,[status(thm)],[])).
% 77.03/48.89 tff(9340,plain,
% 77.03/48.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 77.03/48.89 inference(monotonicity,[status(thm)],[9339])).
% 77.03/48.89 tff(9341,plain,
% 77.03/48.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 77.03/48.89 inference(transitivity,[status(thm)],[9340, 9338])).
% 77.03/48.89 tff(9342,plain,
% 77.03/48.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 77.03/48.89 inference(quant_inst,[status(thm)],[])).
% 77.03/48.89 tff(9343,plain,
% 77.03/48.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 77.03/48.89 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 77.03/48.89 tff(9344,plain,
% 77.03/48.89 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9343, 1539, 9337])).
% 77.03/48.89 tff(9345,plain,
% 77.03/48.89 (v90(constB84, bitIndex2)),
% 77.03/48.89 inference(unit_resolution,[status(thm)],[9344, 9319])).
% 77.03/48.90 tff(9346,plain,
% 77.03/48.90 ((~v1(constB85)) <=> (~v1(constB85))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9347,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 77.03/48.90 tff(9348,plain,
% 77.03/48.90 (~v1(constB85)),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 77.03/48.90 tff(9349,plain,
% 77.03/48.90 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9350,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 77.03/48.90 tff(9351,plain,
% 77.03/48.90 (nextState(constB84, constB85)),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 77.03/48.90 tff(9352,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9353,plain,
% 77.03/48.90 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9354,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 77.03/48.90 inference(monotonicity,[status(thm)],[9353])).
% 77.03/48.90 tff(9355,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 77.03/48.90 inference(transitivity,[status(thm)],[9354, 9352])).
% 77.03/48.90 tff(9356,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9357,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9356, 9355])).
% 77.03/48.90 tff(9358,plain,
% 77.03/48.90 (~v101(constB85)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9357, 307, 9351, 9348])).
% 77.03/48.90 tff(9359,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9360,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9361,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 77.03/48.90 tff(9362,plain,
% 77.03/48.90 (v101(constB85) | (~v100(constB85))),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9361, 324, 9351])).
% 77.03/48.90 tff(9363,plain,
% 77.03/48.90 (~v100(constB85)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9362, 9358])).
% 77.03/48.90 tff(9364,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9365,plain,
% 77.03/48.90 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9366,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 77.03/48.90 inference(monotonicity,[status(thm)],[9365])).
% 77.03/48.90 tff(9367,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 77.03/48.90 inference(transitivity,[status(thm)],[9366, 9364])).
% 77.03/48.90 tff(9368,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9369,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9368, 9367])).
% 77.03/48.90 tff(9370,plain,
% 77.03/48.90 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9369, 1575, 9351])).
% 77.03/48.90 tff(9371,plain,
% 77.03/48.90 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9370, 9363])).
% 77.03/48.90 tff(9372,plain,
% 77.03/48.90 (v90(constB85, bitIndex2)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9371, 9345])).
% 77.03/48.90 tff(9373,plain,
% 77.03/48.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9374,plain,
% 77.03/48.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9375,plain,
% 77.03/48.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85))),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 77.03/48.90 tff(9376,plain,
% 77.03/48.90 (~v121(constB85)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9375, 2218, 9372])).
% 77.03/48.90 tff(9377,plain,
% 77.03/48.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9378,plain,
% 77.03/48.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9379,plain,
% 77.03/48.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85))),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9378, 9377])).
% 77.03/48.90 tff(9380,plain,
% 77.03/48.90 (~v122(constB85)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9379, 2229, 9372])).
% 77.03/48.90 tff(9381,plain,
% 77.03/48.90 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9382,plain,
% 77.03/48.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9383,plain,
% 77.03/48.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1)),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 77.03/48.90 tff(9384,plain,
% 77.03/48.90 (v130(constB83, bitIndex1)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9383, 1936, 9257])).
% 77.03/48.90 tff(9385,plain,
% 77.03/48.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9386,plain,
% 77.03/48.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9387,plain,
% 77.03/48.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 77.03/48.90 tff(9388,plain,
% 77.03/48.90 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9387, 1031, 9327])).
% 77.03/48.90 tff(9389,plain,
% 77.03/48.90 (v127(constB83, bitIndex1)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9388, 9384])).
% 77.03/48.90 tff(9390,plain,
% 77.03/48.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9391,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 77.03/48.90 inference(quant_inst,[status(thm)],[])).
% 77.03/48.90 tff(9392,plain,
% 77.03/48.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 77.03/48.90 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 77.03/48.90 tff(9393,plain,
% 77.03/48.90 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9392, 1046, 9285])).
% 77.03/48.90 tff(9394,plain,
% 77.03/48.90 (v129(constB84, bitIndex1)),
% 77.03/48.90 inference(unit_resolution,[status(thm)],[9393, 9389])).
% 77.03/48.90 tff(9395,plain,
% 77.03/48.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 77.03/48.90 inference(rewrite,[status(thm)],[])).
% 77.03/48.90 tff(9396,plain,
% 77.03/48.91 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9397,plain,
% 77.03/48.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 77.03/48.91 inference(monotonicity,[status(thm)],[9396])).
% 77.03/48.91 tff(9398,plain,
% 77.03/48.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 77.03/48.91 inference(transitivity,[status(thm)],[9397, 9395])).
% 77.03/48.91 tff(9399,plain,
% 77.03/48.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9400,plain,
% 77.03/48.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9399, 9398])).
% 77.03/48.91 tff(9401,plain,
% 77.03/48.91 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9400, 1061, 9394])).
% 77.03/48.91 tff(9402,plain,
% 77.03/48.91 (v90(constB84, bitIndex1)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9401, 9319])).
% 77.03/48.91 tff(9403,plain,
% 77.03/48.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9404,plain,
% 77.03/48.91 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9405,plain,
% 77.03/48.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 77.03/48.91 inference(monotonicity,[status(thm)],[9404])).
% 77.03/48.91 tff(9406,plain,
% 77.03/48.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 77.03/48.91 inference(transitivity,[status(thm)],[9405, 9403])).
% 77.03/48.91 tff(9407,plain,
% 77.03/48.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9408,plain,
% 77.03/48.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 77.03/48.91 tff(9409,plain,
% 77.03/48.91 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9408, 1079, 9351])).
% 77.03/48.91 tff(9410,plain,
% 77.03/48.91 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9409, 9363])).
% 77.03/48.91 tff(9411,plain,
% 77.03/48.91 (v90(constB85, bitIndex1)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9410, 9402])).
% 77.03/48.91 tff(9412,plain,
% 77.03/48.91 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9413,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9414,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9413, 9412])).
% 77.03/48.91 tff(9415,plain,
% 77.03/48.91 (~v119(constB85)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9414, 2243, 9411])).
% 77.03/48.91 tff(9416,plain,
% 77.03/48.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9417,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9418,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85))),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 77.03/48.91 tff(9419,plain,
% 77.03/48.91 (~v120(constB85)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9418, 2254, 9411])).
% 77.03/48.91 tff(9420,plain,
% 77.03/48.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9421,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9422,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85))),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 77.03/48.91 tff(9423,plain,
% 77.03/48.91 (~v124(constB85)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9422, 2276, 9411])).
% 77.03/48.91 tff(9424,plain,
% 77.03/48.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9425,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9426,plain,
% 77.03/48.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85))),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 77.03/48.91 tff(9427,plain,
% 77.03/48.91 (~v123(constB85)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9426, 2265, 9411])).
% 77.03/48.91 tff(9428,plain,
% 77.03/48.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB85, bitIndex1)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB85, bitIndex1)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9429,plain,
% 77.03/48.91 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))) <=> ((~v130(constB85, bitIndex1)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9430,plain,
% 77.03/48.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB85, bitIndex1)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85)))),
% 77.03/48.91 inference(monotonicity,[status(thm)],[9429])).
% 77.03/48.91 tff(9431,plain,
% 77.03/48.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB85, bitIndex1)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.03/48.91 inference(transitivity,[status(thm)],[9430, 9428])).
% 77.03/48.91 tff(9432,plain,
% 77.03/48.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9433,plain,
% 77.03/48.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB85, bitIndex1)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85)),
% 77.03/48.91 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 77.03/48.91 tff(9434,plain,
% 77.03/48.91 (~v130(constB85, bitIndex1)),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9433, 2355, 9427, 9423, 9419, 9415, 9380, 9376])).
% 77.03/48.91 tff(9435,assumption,(v26(constB85)), introduced(assumption)).
% 77.03/48.91 tff(9436,plain,
% 77.03/48.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 77.03/48.91 inference(quant_inst,[status(thm)],[])).
% 77.03/48.91 tff(9437,plain,
% 77.03/48.91 ($false),
% 77.03/48.91 inference(unit_resolution,[status(thm)],[9436, 14, 9435])).
% 77.03/48.91 tff(9438,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 77.03/48.91 tff(9439,plain,
% 77.03/48.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9440,plain,
% 77.03/48.91 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 77.03/48.91 inference(rewrite,[status(thm)],[])).
% 77.03/48.91 tff(9441,plain,
% 77.03/48.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 77.03/48.92 inference(monotonicity,[status(thm)],[9440])).
% 77.03/48.92 tff(9442,plain,
% 77.03/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 77.03/48.92 inference(transitivity,[status(thm)],[9441, 9439])).
% 77.03/48.92 tff(9443,plain,
% 77.03/48.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 77.03/48.92 inference(quant_inst,[status(thm)],[])).
% 77.03/48.92 tff(9444,plain,
% 77.03/48.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 77.03/48.92 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 77.03/48.92 tff(9445,plain,
% 77.03/48.92 ((~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9444, 714, 9438])).
% 77.03/48.92 tff(9446,plain,
% 77.03/48.92 (~v127(constB85, bitIndex1)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9445, 9434])).
% 77.03/48.92 tff(9447,plain,
% 77.03/48.92 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9448,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 77.03/48.92 tff(9449,plain,
% 77.03/48.92 (nextState(constB85, constB86)),
% 77.03/48.92 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 77.03/48.92 tff(9450,plain,
% 77.03/48.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9451,plain,
% 77.03/48.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 77.03/48.92 inference(quant_inst,[status(thm)],[])).
% 77.03/48.92 tff(9452,plain,
% 77.03/48.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 77.03/48.92 inference(modus_ponens,[status(thm)],[9451, 9450])).
% 77.03/48.92 tff(9453,plain,
% 77.03/48.92 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9452, 732, 9449])).
% 77.03/48.92 tff(9454,plain,
% 77.03/48.92 (~v129(constB86, bitIndex1)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9453, 9446])).
% 77.03/48.92 tff(9455,plain,
% 77.03/48.92 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9456,plain,
% 77.03/48.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 77.03/48.92 inference(quant_inst,[status(thm)],[])).
% 77.03/48.92 tff(9457,plain,
% 77.03/48.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0))),
% 77.03/48.92 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 77.03/48.92 tff(9458,plain,
% 77.03/48.92 (~v130(constB83, bitIndex0)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9457, 2112, 9257])).
% 77.03/48.92 tff(9459,plain,
% 77.03/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9460,plain,
% 77.03/48.92 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9461,plain,
% 77.03/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 77.03/48.92 inference(monotonicity,[status(thm)],[9460])).
% 77.03/48.92 tff(9462,plain,
% 77.03/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 77.03/48.92 inference(transitivity,[status(thm)],[9461, 9459])).
% 77.03/48.92 tff(9463,plain,
% 77.03/48.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 77.03/48.92 inference(quant_inst,[status(thm)],[])).
% 77.03/48.92 tff(9464,plain,
% 77.03/48.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 77.03/48.92 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 77.03/48.92 tff(9465,plain,
% 77.03/48.92 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9464, 1112, 9327])).
% 77.03/48.92 tff(9466,plain,
% 77.03/48.92 (~v127(constB83, bitIndex0)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9465, 9458])).
% 77.03/48.92 tff(9467,plain,
% 77.03/48.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9468,plain,
% 77.03/48.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 77.03/48.92 inference(quant_inst,[status(thm)],[])).
% 77.03/48.92 tff(9469,plain,
% 77.03/48.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 77.03/48.92 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 77.03/48.92 tff(9470,plain,
% 77.03/48.92 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9469, 1130, 9285])).
% 77.03/48.92 tff(9471,plain,
% 77.03/48.92 (~v129(constB84, bitIndex0)),
% 77.03/48.92 inference(unit_resolution,[status(thm)],[9470, 9466])).
% 77.03/48.92 tff(9472,plain,
% 77.03/48.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.03/48.92 tff(9473,plain,
% 77.03/48.92 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 77.03/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9474,plain,
% 77.12/48.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 77.12/48.92 inference(monotonicity,[status(thm)],[9473])).
% 77.12/48.92 tff(9475,plain,
% 77.12/48.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 77.12/48.92 inference(transitivity,[status(thm)],[9474, 9472])).
% 77.12/48.92 tff(9476,plain,
% 77.12/48.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9477,plain,
% 77.12/48.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 77.12/48.92 tff(9478,plain,
% 77.12/48.92 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9477, 1145, 9471])).
% 77.12/48.92 tff(9479,plain,
% 77.12/48.92 (~v90(constB84, bitIndex0)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9478, 9319])).
% 77.12/48.92 tff(9480,plain,
% 77.12/48.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9481,plain,
% 77.12/48.92 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9482,plain,
% 77.12/48.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 77.12/48.92 inference(monotonicity,[status(thm)],[9481])).
% 77.12/48.92 tff(9483,plain,
% 77.12/48.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 77.12/48.92 inference(transitivity,[status(thm)],[9482, 9480])).
% 77.12/48.92 tff(9484,plain,
% 77.12/48.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9485,plain,
% 77.12/48.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 77.12/48.92 tff(9486,plain,
% 77.12/48.92 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9485, 381, 9351])).
% 77.12/48.92 tff(9487,plain,
% 77.12/48.92 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9486, 9363])).
% 77.12/48.92 tff(9488,plain,
% 77.12/48.92 (~v90(constB85, bitIndex0)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9487, 9479])).
% 77.12/48.92 tff(9489,assumption,(~v26(constB83)), introduced(assumption)).
% 77.12/48.92 tff(9490,assumption,(v130(constB83, bitIndex1)), introduced(assumption)).
% 77.12/48.92 tff(9491,plain,
% 77.12/48.92 (v26(constB83) | v127(constB83, bitIndex1)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9387, 1031, 9490])).
% 77.12/48.92 tff(9492,plain,
% 77.12/48.92 (v127(constB83, bitIndex1)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9491, 9489])).
% 77.12/48.92 tff(9493,plain,
% 77.12/48.92 (v129(constB84, bitIndex1)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9393, 9492])).
% 77.12/48.92 tff(9494,assumption,(v100(constB84)), introduced(assumption)).
% 77.12/48.92 tff(9495,plain,
% 77.12/48.92 (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9400, 1061, 9494])).
% 77.12/48.92 tff(9496,plain,
% 77.12/48.92 (v90(constB84, bitIndex1)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9495, 9493])).
% 77.12/48.92 tff(9497,plain,
% 77.12/48.92 (v90(constB85, bitIndex1)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9410, 9496])).
% 77.12/48.92 tff(9498,assumption,(v130(constB83, bitIndex2)), introduced(assumption)).
% 77.12/48.92 tff(9499,plain,
% 77.12/48.92 (v26(constB83) | v127(constB83, bitIndex2)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9330, 1431, 9498])).
% 77.12/48.92 tff(9500,plain,
% 77.12/48.92 (v127(constB83, bitIndex2)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9499, 9489])).
% 77.12/48.92 tff(9501,plain,
% 77.12/48.92 (v129(constB84, bitIndex2)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9336, 9500])).
% 77.12/48.92 tff(9502,plain,
% 77.12/48.92 (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9343, 1539, 9494])).
% 77.12/48.92 tff(9503,plain,
% 77.12/48.92 (v90(constB84, bitIndex2)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9502, 9501])).
% 77.12/48.92 tff(9504,plain,
% 77.12/48.92 (v90(constB85, bitIndex2)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9371, 9503])).
% 77.12/48.92 tff(9505,assumption,(~v90(constB85, bitIndex0)), introduced(assumption)).
% 77.12/48.92 tff(9506,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9507,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9508,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 77.12/48.92 tff(9509,plain,
% 77.12/48.92 ((~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9508, 2156, 9505])).
% 77.12/48.92 tff(9510,plain,
% 77.12/48.92 (v125(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9509, 9504, 9497])).
% 77.12/48.92 tff(9511,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9512,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9513,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85))),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 77.12/48.92 tff(9514,plain,
% 77.12/48.92 (v113(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9513, 2167, 9510])).
% 77.12/48.92 tff(9515,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9516,plain,
% 77.12/48.92 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9517,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 77.12/48.92 inference(monotonicity,[status(thm)],[9516])).
% 77.12/48.92 tff(9518,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 77.12/48.92 inference(transitivity,[status(thm)],[9517, 9515])).
% 77.12/48.92 tff(9519,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9520,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 77.12/48.92 tff(9521,plain,
% 77.12/48.92 (v112(constB85) | (~v113(constB85))),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9520, 555, 9438])).
% 77.12/48.92 tff(9522,plain,
% 77.12/48.92 (v112(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9521, 9514])).
% 77.12/48.92 tff(9523,plain,
% 77.12/48.92 (~v119(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9414, 2243, 9497])).
% 77.12/48.92 tff(9524,plain,
% 77.12/48.92 (~v121(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9375, 2218, 9504])).
% 77.12/48.92 tff(9525,plain,
% 77.12/48.92 (~v123(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9426, 2265, 9497])).
% 77.12/48.92 tff(9526,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB85, bitIndex0) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB85, bitIndex0) | (~v120(constB85)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9527,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB85, bitIndex0) | (~v120(constB85)))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9528,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB85, bitIndex0) | (~v120(constB85))),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 77.12/48.92 tff(9529,plain,
% 77.12/48.92 (~v120(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9528, 7524, 9505])).
% 77.12/48.92 tff(9530,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB85, bitIndex0) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB85, bitIndex0) | (~v122(constB85)))),
% 77.12/48.92 inference(rewrite,[status(thm)],[])).
% 77.12/48.92 tff(9531,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB85, bitIndex0) | (~v122(constB85)))),
% 77.12/48.92 inference(quant_inst,[status(thm)],[])).
% 77.12/48.92 tff(9532,plain,
% 77.12/48.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB85, bitIndex0) | (~v122(constB85))),
% 77.12/48.92 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 77.12/48.92 tff(9533,plain,
% 77.12/48.92 (~v122(constB85)),
% 77.12/48.92 inference(unit_resolution,[status(thm)],[9532, 7632, 9505])).
% 77.12/48.92 tff(9534,plain,
% 77.12/48.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB85, bitIndex0) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB85, bitIndex0) | (~v124(constB85)))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9535,plain,
% 77.12/48.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB85, bitIndex0) | (~v124(constB85)))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9536,plain,
% 77.12/48.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB85, bitIndex0) | (~v124(constB85))),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 77.12/48.93 tff(9537,plain,
% 77.12/48.93 (~v124(constB85)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9536, 7487, 9505])).
% 77.12/48.93 tff(9538,plain,
% 77.12/48.93 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9539,plain,
% 77.12/48.93 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)) <=> (v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9540,plain,
% 77.12/48.93 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85)))),
% 77.12/48.93 inference(monotonicity,[status(thm)],[9539])).
% 77.12/48.93 tff(9541,plain,
% 77.12/48.93 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.12/48.93 inference(transitivity,[status(thm)],[9540, 9538])).
% 77.12/48.93 tff(9542,plain,
% 77.12/48.93 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9543,plain,
% 77.12/48.93 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85)),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 77.12/48.93 tff(9544,plain,
% 77.12/48.93 (v130(constB85, bitIndex0) | v119(constB85) | v123(constB85) | v121(constB85)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9543, 2402, 9537, 9533, 9529])).
% 77.12/48.93 tff(9545,plain,
% 77.12/48.93 (v130(constB85, bitIndex0)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9544, 9525, 9524, 9523])).
% 77.12/48.93 tff(9546,plain,
% 77.12/48.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9547,plain,
% 77.12/48.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9548,plain,
% 77.12/48.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9547, 9546])).
% 77.12/48.93 tff(9549,plain,
% 77.12/48.93 ((~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9548, 788, 9438])).
% 77.12/48.93 tff(9550,plain,
% 77.12/48.93 (v127(constB85, bitIndex0)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9549, 9545])).
% 77.12/48.93 tff(9551,plain,
% 77.12/48.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9552,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9553,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 77.12/48.93 tff(9554,plain,
% 77.12/48.93 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9553, 803, 9449])).
% 77.12/48.93 tff(9555,plain,
% 77.12/48.93 (v129(constB86, bitIndex0)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9554, 9550])).
% 77.12/48.93 tff(9556,assumption,(~v90(constB86, bitIndex0)), introduced(assumption)).
% 77.12/48.93 tff(9557,plain,
% 77.12/48.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9558,plain,
% 77.12/48.93 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9559,plain,
% 77.12/48.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 77.12/48.93 inference(monotonicity,[status(thm)],[9558])).
% 77.12/48.93 tff(9560,plain,
% 77.12/48.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 77.12/48.93 inference(transitivity,[status(thm)],[9559, 9557])).
% 77.12/48.93 tff(9561,plain,
% 77.12/48.93 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9562,plain,
% 77.12/48.93 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 77.12/48.93 tff(9563,plain,
% 77.12/48.93 ((~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9562, 818, 9556])).
% 77.12/48.93 tff(9564,plain,
% 77.12/48.93 (~v100(constB86)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9563, 9555])).
% 77.12/48.93 tff(9565,plain,
% 77.12/48.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9566,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9567,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 77.12/48.93 tff(9568,plain,
% 77.12/48.93 (~v104(constB86)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9567, 589, 9449, 9348])).
% 77.12/48.93 tff(9569,plain,
% 77.12/48.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9570,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9571,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9570, 9569])).
% 77.12/48.93 tff(9572,plain,
% 77.12/48.93 (v102(constB86) | v104(constB86)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9571, 603, 9449])).
% 77.12/48.93 tff(9573,plain,
% 77.12/48.93 (v102(constB86)),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9572, 9568])).
% 77.12/48.93 tff(9574,plain,
% 77.12/48.93 (v1(constB86) <=> v1(constB86)),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9575,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 77.12/48.93 tff(9576,plain,
% 77.12/48.93 (v1(constB86)),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 77.12/48.93 tff(9577,plain,
% 77.12/48.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 77.12/48.93 inference(rewrite,[status(thm)],[])).
% 77.12/48.93 tff(9578,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 77.12/48.93 inference(quant_inst,[status(thm)],[])).
% 77.12/48.93 tff(9579,plain,
% 77.12/48.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 77.12/48.93 inference(modus_ponens,[status(thm)],[9578, 9577])).
% 77.12/48.93 tff(9580,plain,
% 77.12/48.93 (v101(constB86) | (~v102(constB86))),
% 77.12/48.93 inference(unit_resolution,[status(thm)],[9579, 621, 9449, 9576])).
% 77.12/48.94 tff(9581,plain,
% 77.12/48.94 (v101(constB86)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9580, 9573])).
% 77.12/48.94 tff(9582,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9583,plain,
% 77.12/48.94 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9584,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 77.12/48.94 inference(monotonicity,[status(thm)],[9583])).
% 77.12/48.94 tff(9585,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 77.12/48.94 inference(transitivity,[status(thm)],[9584, 9582])).
% 77.12/48.94 tff(9586,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9587,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9586, 9585])).
% 77.12/48.94 tff(9588,plain,
% 77.12/48.94 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9587, 636, 9449])).
% 77.12/48.94 tff(9589,plain,
% 77.12/48.94 (v100(constB86) | (~v110(constB86))),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9588, 9581])).
% 77.12/48.94 tff(9590,plain,
% 77.12/48.94 (~v110(constB86)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9589, 9564])).
% 77.12/48.94 tff(9591,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9592,plain,
% 77.12/48.94 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9593,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 77.12/48.94 inference(monotonicity,[status(thm)],[9592])).
% 77.12/48.94 tff(9594,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 77.12/48.94 inference(transitivity,[status(thm)],[9593, 9591])).
% 77.12/48.94 tff(9595,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9596,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 77.12/48.94 tff(9597,plain,
% 77.12/48.94 (v110(constB86) | (~v108(constB85))),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9596, 571, 9449])).
% 77.12/48.94 tff(9598,plain,
% 77.12/48.94 (~v108(constB85)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9597, 9590])).
% 77.12/48.94 tff(9599,plain,
% 77.12/48.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9600,plain,
% 77.12/48.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9601,plain,
% 77.12/48.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 77.12/48.94 tff(9602,plain,
% 77.12/48.94 ($false),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9601, 464, 9598, 9522])).
% 77.12/48.94 tff(9603,plain,(v26(constB83) | v90(constB86, bitIndex0) | v90(constB85, bitIndex0) | (~v100(constB84)) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 77.12/48.94 tff(9604,plain,
% 77.12/48.94 (v90(constB86, bitIndex0) | v90(constB85, bitIndex0) | (~v100(constB84)) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9603, 9327])).
% 77.12/48.94 tff(9605,plain,
% 77.12/48.94 (v90(constB86, bitIndex0)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9604, 9488, 9384, 9323, 9319])).
% 77.12/48.94 tff(9606,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9607,plain,
% 77.12/48.94 (((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0))) <=> (v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9608,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0))))),
% 77.12/48.94 inference(monotonicity,[status(thm)],[9607])).
% 77.12/48.94 tff(9609,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 77.12/48.94 inference(transitivity,[status(thm)],[9608, 9606])).
% 77.12/48.94 tff(9610,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9611,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 77.12/48.94 tff(9612,plain,
% 77.12/48.94 (v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0))),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9611, 381, 9449])).
% 77.12/48.94 tff(9613,plain,
% 77.12/48.94 (v100(constB86)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9612, 9488, 9605])).
% 77.12/48.94 tff(9614,plain,
% 77.12/48.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9615,plain,
% 77.12/48.94 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9616,plain,
% 77.12/48.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 77.12/48.94 inference(monotonicity,[status(thm)],[9615])).
% 77.12/48.94 tff(9617,plain,
% 77.12/48.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 77.12/48.94 inference(transitivity,[status(thm)],[9616, 9614])).
% 77.12/48.94 tff(9618,plain,
% 77.12/48.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9619,plain,
% 77.12/48.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 77.12/48.94 tff(9620,plain,
% 77.12/48.94 ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9619, 747, 9613])).
% 77.12/48.94 tff(9621,plain,
% 77.12/48.94 (~v90(constB86, bitIndex1)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9620, 9454])).
% 77.12/48.94 tff(9622,plain,
% 77.12/48.94 ((~v1(constB87)) <=> (~v1(constB87))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9623,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 77.12/48.94 tff(9624,plain,
% 77.12/48.94 (~v1(constB87)),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 77.12/48.94 tff(9625,plain,
% 77.12/48.94 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9626,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 77.12/48.94 tff(9627,plain,
% 77.12/48.94 (nextState(constB86, constB87)),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9626, 9625])).
% 77.12/48.94 tff(9628,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9629,plain,
% 77.12/48.94 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9630,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 77.12/48.94 inference(monotonicity,[status(thm)],[9629])).
% 77.12/48.94 tff(9631,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 77.12/48.94 inference(transitivity,[status(thm)],[9630, 9628])).
% 77.12/48.94 tff(9632,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9633,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9632, 9631])).
% 77.12/48.94 tff(9634,plain,
% 77.12/48.94 (~v101(constB87)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9633, 307, 9627, 9624])).
% 77.12/48.94 tff(9635,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9636,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 77.12/48.94 inference(quant_inst,[status(thm)],[])).
% 77.12/48.94 tff(9637,plain,
% 77.12/48.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 77.12/48.94 inference(modus_ponens,[status(thm)],[9636, 9635])).
% 77.12/48.94 tff(9638,plain,
% 77.12/48.94 (v101(constB87) | (~v100(constB87))),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9637, 324, 9627])).
% 77.12/48.94 tff(9639,plain,
% 77.12/48.94 (~v100(constB87)),
% 77.12/48.94 inference(unit_resolution,[status(thm)],[9638, 9634])).
% 77.12/48.94 tff(9640,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9641,plain,
% 77.12/48.94 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 77.12/48.94 inference(rewrite,[status(thm)],[])).
% 77.12/48.94 tff(9642,plain,
% 77.12/48.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 77.12/48.95 inference(monotonicity,[status(thm)],[9641])).
% 77.12/48.95 tff(9643,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 77.12/48.95 inference(transitivity,[status(thm)],[9642, 9640])).
% 77.12/48.95 tff(9644,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.95 tff(9645,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 77.12/48.95 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 77.12/48.95 tff(9646,plain,
% 77.12/48.95 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9645, 360, 9627])).
% 77.12/48.95 tff(9647,plain,
% 77.12/48.95 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9646, 9639])).
% 77.12/48.95 tff(9648,plain,
% 77.12/48.95 (~v90(constB87, bitIndex1)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9647, 9621])).
% 77.12/48.95 tff(9649,plain,
% 77.12/48.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB85, bitIndex2)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB85, bitIndex2)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9650,plain,
% 77.12/48.95 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))) <=> ((~v130(constB85, bitIndex2)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9651,plain,
% 77.12/48.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB85, bitIndex2)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85)))),
% 77.12/48.95 inference(monotonicity,[status(thm)],[9650])).
% 77.12/48.95 tff(9652,plain,
% 77.12/48.95 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB85, bitIndex2)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85))),
% 77.12/48.95 inference(transitivity,[status(thm)],[9651, 9649])).
% 77.12/48.95 tff(9653,plain,
% 77.12/48.95 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.95 tff(9654,plain,
% 77.12/48.95 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB85, bitIndex2)) | v119(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v124(constB85) | v120(constB85)),
% 77.12/48.95 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 77.12/48.95 tff(9655,plain,
% 77.12/48.95 (~v130(constB85, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9654, 2290, 9427, 9423, 9419, 9415, 9380, 9376])).
% 77.12/48.95 tff(9656,plain,
% 77.12/48.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9657,plain,
% 77.12/48.95 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9658,plain,
% 77.12/48.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 77.12/48.95 inference(monotonicity,[status(thm)],[9657])).
% 77.12/48.95 tff(9659,plain,
% 77.12/48.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 77.12/48.95 inference(transitivity,[status(thm)],[9658, 9656])).
% 77.12/48.95 tff(9660,plain,
% 77.12/48.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.95 tff(9661,plain,
% 77.12/48.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 77.12/48.95 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 77.12/48.95 tff(9662,plain,
% 77.12/48.95 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9661, 430, 9438])).
% 77.12/48.95 tff(9663,plain,
% 77.12/48.95 (~v127(constB85, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9662, 9655])).
% 77.12/48.95 tff(9664,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9665,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.95 tff(9666,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 77.12/48.95 inference(modus_ponens,[status(thm)],[9665, 9664])).
% 77.12/48.95 tff(9667,plain,
% 77.12/48.95 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9666, 451, 9449])).
% 77.12/48.95 tff(9668,plain,
% 77.12/48.95 (~v129(constB86, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9667, 9663])).
% 77.12/48.95 tff(9669,plain,
% 77.12/48.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9670,plain,
% 77.12/48.95 (((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2)) <=> ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9671,plain,
% 77.12/48.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))))),
% 77.12/48.95 inference(monotonicity,[status(thm)],[9670])).
% 77.12/48.95 tff(9672,plain,
% 77.12/48.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 77.12/48.95 inference(transitivity,[status(thm)],[9671, 9669])).
% 77.12/48.95 tff(9673,plain,
% 77.12/48.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.95 tff(9674,plain,
% 77.12/48.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 77.12/48.95 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 77.12/48.95 tff(9675,plain,
% 77.12/48.95 ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9674, 655, 9613])).
% 77.12/48.95 tff(9676,plain,
% 77.12/48.95 (~v90(constB86, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9675, 9668])).
% 77.12/48.95 tff(9677,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9678,plain,
% 77.12/48.95 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9679,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 77.12/48.95 inference(monotonicity,[status(thm)],[9678])).
% 77.12/48.95 tff(9680,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 77.12/48.95 inference(transitivity,[status(thm)],[9679, 9677])).
% 77.12/48.95 tff(9681,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.95 tff(9682,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 77.12/48.95 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 77.12/48.95 tff(9683,plain,
% 77.12/48.95 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9682, 339, 9627])).
% 77.12/48.95 tff(9684,plain,
% 77.12/48.95 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9683, 9639])).
% 77.12/48.95 tff(9685,plain,
% 77.12/48.95 (~v90(constB87, bitIndex2)),
% 77.12/48.95 inference(unit_resolution,[status(thm)],[9684, 9676])).
% 77.12/48.95 tff(9686,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9687,plain,
% 77.12/48.95 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 77.12/48.95 inference(rewrite,[status(thm)],[])).
% 77.12/48.95 tff(9688,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 77.12/48.95 inference(monotonicity,[status(thm)],[9687])).
% 77.12/48.95 tff(9689,plain,
% 77.12/48.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 77.12/48.95 inference(transitivity,[status(thm)],[9688, 9686])).
% 77.12/48.95 tff(9690,plain,
% 77.12/48.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 77.12/48.95 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9691,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 77.12/48.96 tff(9692,plain,
% 77.12/48.96 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9691, 836, 9627])).
% 77.12/48.96 tff(9693,plain,
% 77.12/48.96 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9692, 9639])).
% 77.12/48.96 tff(9694,plain,
% 77.12/48.96 (v90(constB87, bitIndex0)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9693, 9605])).
% 77.12/48.96 tff(9695,plain,
% 77.12/48.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9696,plain,
% 77.12/48.96 (((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)) <=> ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9697,plain,
% 77.12/48.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)))),
% 77.12/48.96 inference(monotonicity,[status(thm)],[9696])).
% 77.12/48.96 tff(9698,plain,
% 77.12/48.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 77.12/48.96 inference(transitivity,[status(thm)],[9697, 9695])).
% 77.12/48.96 tff(9699,plain,
% 77.12/48.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9700,plain,
% 77.12/48.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9699, 9698])).
% 77.12/48.96 tff(9701,plain,
% 77.12/48.96 (v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9700, 855, 9694])).
% 77.12/48.96 tff(9702,plain,
% 77.12/48.96 (v120(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9701, 9685, 9648])).
% 77.12/48.96 tff(9703,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9704,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9705,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9704, 9703])).
% 77.12/48.96 tff(9706,plain,
% 77.12/48.96 (v118(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9705, 908, 9702])).
% 77.12/48.96 tff(9707,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9708,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9709,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9708, 9707])).
% 77.12/48.96 tff(9710,plain,
% 77.12/48.96 (v117(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9709, 497, 9706])).
% 77.12/48.96 tff(9711,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9712,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9713,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 77.12/48.96 tff(9714,plain,
% 77.12/48.96 (v116(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9713, 508, 9710])).
% 77.12/48.96 tff(9715,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9716,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9717,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 77.12/48.96 tff(9718,plain,
% 77.12/48.96 (v115(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9717, 519, 9714])).
% 77.12/48.96 tff(9719,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9720,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9721,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 77.12/48.96 tff(9722,plain,
% 77.12/48.96 (v114(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9721, 530, 9718])).
% 77.12/48.96 tff(9723,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9724,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9725,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 77.12/48.96 tff(9726,plain,
% 77.12/48.96 (v113(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9725, 541, 9722])).
% 77.12/48.96 tff(9727,assumption,(v26(constB87)), introduced(assumption)).
% 77.12/48.96 tff(9728,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9729,plain,
% 77.12/48.96 ($false),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9728, 14, 9727])).
% 77.12/48.96 tff(9730,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 77.12/48.96 tff(9731,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9732,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9733,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | (~v113(constB87)) | v112(constB87)),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9732, 9731])).
% 77.12/48.96 tff(9734,plain,
% 77.12/48.96 ((~v113(constB87)) | v112(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9733, 555, 9730])).
% 77.12/48.96 tff(9735,plain,
% 77.12/48.96 (v112(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9734, 9726])).
% 77.12/48.96 tff(9736,plain,
% 77.12/48.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9737,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9738,plain,
% 77.12/48.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9737, 9736])).
% 77.12/48.96 tff(9739,plain,
% 77.12/48.96 (v108(constB87)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9738, 464, 9735])).
% 77.12/48.96 tff(9740,plain,
% 77.12/48.96 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9741,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 77.12/48.96 tff(9742,plain,
% 77.12/48.96 (nextState(constB87, constB88)),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 77.12/48.96 tff(9743,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9744,plain,
% 77.12/48.96 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9745,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 77.12/48.96 inference(monotonicity,[status(thm)],[9744])).
% 77.12/48.96 tff(9746,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 77.12/48.96 inference(transitivity,[status(thm)],[9745, 9743])).
% 77.12/48.96 tff(9747,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9748,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 77.12/48.96 tff(9749,plain,
% 77.12/48.96 (v110(constB88) | (~v108(constB87))),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9748, 571, 9742])).
% 77.12/48.96 tff(9750,plain,
% 77.12/48.96 (v110(constB88)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9749, 9739])).
% 77.12/48.96 tff(9751,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9752,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9753,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9752, 9751])).
% 77.12/48.96 tff(9754,plain,
% 77.12/48.96 (~v104(constB88)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9753, 589, 9742, 9624])).
% 77.12/48.96 tff(9755,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9756,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9757,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 77.12/48.96 tff(9758,plain,
% 77.12/48.96 (v102(constB88) | v104(constB88)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9757, 603, 9742])).
% 77.12/48.96 tff(9759,plain,
% 77.12/48.96 (v102(constB88)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9758, 9754])).
% 77.12/48.96 tff(9760,plain,
% 77.12/48.96 (v1(constB88) <=> v1(constB88)),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9761,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 77.12/48.96 tff(9762,plain,
% 77.12/48.96 (v1(constB88)),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9761, 9760])).
% 77.12/48.96 tff(9763,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9764,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 77.12/48.96 inference(quant_inst,[status(thm)],[])).
% 77.12/48.96 tff(9765,plain,
% 77.12/48.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 77.12/48.96 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 77.12/48.96 tff(9766,plain,
% 77.12/48.96 (v101(constB88) | (~v102(constB88))),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9765, 621, 9742, 9762])).
% 77.12/48.96 tff(9767,plain,
% 77.12/48.96 (v101(constB88)),
% 77.12/48.96 inference(unit_resolution,[status(thm)],[9766, 9759])).
% 77.12/48.96 tff(9768,plain,
% 77.12/48.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 77.12/48.96 inference(rewrite,[status(thm)],[])).
% 77.12/48.96 tff(9769,plain,
% 77.12/48.97 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9770,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 77.12/48.97 inference(monotonicity,[status(thm)],[9769])).
% 77.12/48.97 tff(9771,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 77.12/48.97 inference(transitivity,[status(thm)],[9770, 9768])).
% 77.12/48.97 tff(9772,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9773,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 77.12/48.97 tff(9774,plain,
% 77.12/48.97 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9773, 636, 9742])).
% 77.12/48.97 tff(9775,plain,
% 77.12/48.97 (v100(constB88) | (~v110(constB88))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9774, 9767])).
% 77.12/48.97 tff(9776,plain,
% 77.12/48.97 (v100(constB88)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9775, 9750])).
% 77.12/48.97 tff(9777,plain,
% 77.12/48.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9778,plain,
% 77.12/48.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9779,plain,
% 77.12/48.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 77.12/48.97 tff(9780,plain,
% 77.12/48.97 (~v130(constB87, bitIndex2)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9779, 872, 9702])).
% 77.12/48.97 tff(9781,plain,
% 77.12/48.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9782,plain,
% 77.12/48.97 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9783,plain,
% 77.12/48.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 77.12/48.97 inference(monotonicity,[status(thm)],[9782])).
% 77.12/48.97 tff(9784,plain,
% 77.12/48.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 77.12/48.97 inference(transitivity,[status(thm)],[9783, 9781])).
% 77.12/48.97 tff(9785,plain,
% 77.12/48.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9786,plain,
% 77.12/48.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9785, 9784])).
% 77.12/48.97 tff(9787,plain,
% 77.12/48.97 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9786, 430, 9730])).
% 77.12/48.97 tff(9788,plain,
% 77.12/48.97 (~v127(constB87, bitIndex2)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9787, 9780])).
% 77.12/48.97 tff(9789,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9790,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9791,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9790, 9789])).
% 77.12/48.97 tff(9792,plain,
% 77.12/48.97 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9791, 451, 9742])).
% 77.12/48.97 tff(9793,plain,
% 77.12/48.97 (~v129(constB88, bitIndex2)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9792, 9788])).
% 77.12/48.97 tff(9794,plain,
% 77.12/48.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9795,plain,
% 77.12/48.97 (((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9796,plain,
% 77.12/48.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))))),
% 77.12/48.97 inference(monotonicity,[status(thm)],[9795])).
% 77.12/48.97 tff(9797,plain,
% 77.12/48.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 77.12/48.97 inference(transitivity,[status(thm)],[9796, 9794])).
% 77.12/48.97 tff(9798,plain,
% 77.12/48.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9799,plain,
% 77.12/48.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 77.12/48.97 tff(9800,plain,
% 77.12/48.97 ((~v90(constB88, bitIndex2)) | (~v100(constB88))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9799, 655, 9793])).
% 77.12/48.97 tff(9801,plain,
% 77.12/48.97 (~v90(constB88, bitIndex2)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9800, 9776])).
% 77.12/48.97 tff(9802,plain,
% 77.12/48.97 ((~v1(constB89)) <=> (~v1(constB89))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9803,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 77.12/48.97 tff(9804,plain,
% 77.12/48.97 (~v1(constB89)),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9803, 9802])).
% 77.12/48.97 tff(9805,plain,
% 77.12/48.97 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9806,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 77.12/48.97 tff(9807,plain,
% 77.12/48.97 (nextState(constB88, constB89)),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 77.12/48.97 tff(9808,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9809,plain,
% 77.12/48.97 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9810,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 77.12/48.97 inference(monotonicity,[status(thm)],[9809])).
% 77.12/48.97 tff(9811,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 77.12/48.97 inference(transitivity,[status(thm)],[9810, 9808])).
% 77.12/48.97 tff(9812,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9813,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 77.12/48.97 tff(9814,plain,
% 77.12/48.97 (~v101(constB89)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9813, 307, 9807, 9804])).
% 77.12/48.97 tff(9815,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9816,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9817,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9816, 9815])).
% 77.12/48.97 tff(9818,plain,
% 77.12/48.97 (v101(constB89) | (~v100(constB89))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9817, 324, 9807])).
% 77.12/48.97 tff(9819,plain,
% 77.12/48.97 (~v100(constB89)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9818, 9814])).
% 77.12/48.97 tff(9820,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9821,plain,
% 77.12/48.97 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9822,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 77.12/48.97 inference(monotonicity,[status(thm)],[9821])).
% 77.12/48.97 tff(9823,plain,
% 77.12/48.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 77.12/48.97 inference(transitivity,[status(thm)],[9822, 9820])).
% 77.12/48.97 tff(9824,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9825,plain,
% 77.12/48.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 77.12/48.97 inference(modus_ponens,[status(thm)],[9824, 9823])).
% 77.12/48.97 tff(9826,plain,
% 77.12/48.97 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9825, 339, 9807])).
% 77.12/48.97 tff(9827,plain,
% 77.12/48.97 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9826, 9819])).
% 77.12/48.97 tff(9828,plain,
% 77.12/48.97 (~v90(constB89, bitIndex2)),
% 77.12/48.97 inference(unit_resolution,[status(thm)],[9827, 9801])).
% 77.12/48.97 tff(9829,plain,
% 77.12/48.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 77.12/48.97 inference(rewrite,[status(thm)],[])).
% 77.12/48.97 tff(9830,plain,
% 77.12/48.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 77.12/48.97 inference(quant_inst,[status(thm)],[])).
% 77.12/48.97 tff(9831,plain,
% 77.12/48.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 77.12/48.98 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 77.12/48.98 tff(9832,plain,
% 77.12/48.98 (v130(constB87, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9831, 1017, 9702])).
% 77.12/48.98 tff(9833,plain,
% 77.12/48.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 77.12/48.98 inference(rewrite,[status(thm)],[])).
% 77.12/48.98 tff(9834,plain,
% 77.12/48.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 77.12/48.98 inference(quant_inst,[status(thm)],[])).
% 77.12/48.98 tff(9835,plain,
% 77.12/48.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 77.12/48.98 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 77.12/48.98 tff(9836,plain,
% 77.12/48.98 ((~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9835, 1031, 9730])).
% 77.12/48.98 tff(9837,plain,
% 77.12/48.98 (v127(constB87, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9836, 9832])).
% 77.12/48.98 tff(9838,plain,
% 77.12/48.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 77.12/48.98 inference(rewrite,[status(thm)],[])).
% 77.12/48.98 tff(9839,plain,
% 77.12/48.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 77.12/48.98 inference(quant_inst,[status(thm)],[])).
% 77.12/48.98 tff(9840,plain,
% 77.12/48.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 77.12/48.98 inference(modus_ponens,[status(thm)],[9839, 9838])).
% 77.12/48.98 tff(9841,plain,
% 77.12/48.98 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9840, 1046, 9742])).
% 77.12/48.98 tff(9842,plain,
% 77.12/48.98 (v129(constB88, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9841, 9837])).
% 77.12/48.98 tff(9843,plain,
% 77.12/48.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 77.12/48.98 inference(rewrite,[status(thm)],[])).
% 77.12/48.98 tff(9844,plain,
% 77.12/48.98 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 77.12/48.98 inference(rewrite,[status(thm)],[])).
% 77.12/48.98 tff(9845,plain,
% 77.12/48.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 77.12/48.98 inference(monotonicity,[status(thm)],[9844])).
% 77.12/48.98 tff(9846,plain,
% 77.12/48.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 77.12/48.98 inference(transitivity,[status(thm)],[9845, 9843])).
% 77.12/48.98 tff(9847,plain,
% 77.12/48.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 77.12/48.98 inference(quant_inst,[status(thm)],[])).
% 77.12/48.98 tff(9848,plain,
% 77.12/48.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 77.12/48.98 inference(modus_ponens,[status(thm)],[9847, 9846])).
% 77.12/48.98 tff(9849,plain,
% 77.12/48.98 (v90(constB88, bitIndex1) | (~v100(constB88))),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9848, 1061, 9842])).
% 77.12/48.98 tff(9850,plain,
% 77.12/48.98 (v90(constB88, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9849, 9776])).
% 77.12/48.98 tff(9851,plain,
% 77.12/48.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 77.12/48.98 inference(rewrite,[status(thm)],[])).
% 77.12/48.98 tff(9852,plain,
% 77.12/48.98 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 77.12/48.98 inference(rewrite,[status(thm)],[])).
% 77.12/48.98 tff(9853,plain,
% 77.12/48.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 77.12/48.98 inference(monotonicity,[status(thm)],[9852])).
% 77.12/48.98 tff(9854,plain,
% 77.12/48.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 77.12/48.98 inference(transitivity,[status(thm)],[9853, 9851])).
% 77.12/48.98 tff(9855,plain,
% 77.12/48.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 77.12/48.98 inference(quant_inst,[status(thm)],[])).
% 77.12/48.98 tff(9856,plain,
% 77.12/48.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 77.12/48.98 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 77.12/48.98 tff(9857,plain,
% 77.12/48.98 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9856, 1079, 9807])).
% 77.12/48.98 tff(9858,plain,
% 77.12/48.98 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9857, 9819])).
% 77.12/48.98 tff(9859,plain,
% 77.12/48.98 (v90(constB89, bitIndex1)),
% 77.12/48.98 inference(unit_resolution,[status(thm)],[9858, 9850])).
% 77.12/48.98 tff(9860,plain,
% 77.12/48.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 77.18/48.98 inference(rewrite,[status(thm)],[])).
% 77.18/48.98 tff(9861,plain,
% 77.18/48.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 77.18/48.98 inference(quant_inst,[status(thm)],[])).
% 77.18/48.98 tff(9862,plain,
% 77.18/48.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 77.18/48.98 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 77.18/48.98 tff(9863,plain,
% 77.18/48.98 (~v130(constB87, bitIndex0)),
% 77.18/48.98 inference(unit_resolution,[status(thm)],[9862, 1098, 9702])).
% 77.18/48.98 tff(9864,plain,
% 77.18/48.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 77.18/48.98 inference(rewrite,[status(thm)],[])).
% 77.18/48.98 tff(9865,plain,
% 77.18/48.98 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 77.18/48.98 inference(rewrite,[status(thm)],[])).
% 77.18/48.98 tff(9866,plain,
% 77.18/48.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 77.18/48.98 inference(monotonicity,[status(thm)],[9865])).
% 77.18/48.98 tff(9867,plain,
% 77.18/48.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 77.18/48.98 inference(transitivity,[status(thm)],[9866, 9864])).
% 77.18/48.98 tff(9868,plain,
% 77.18/48.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 77.18/48.98 inference(quant_inst,[status(thm)],[])).
% 77.18/48.98 tff(9869,plain,
% 77.18/48.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 77.18/48.98 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 77.18/48.98 tff(9870,plain,
% 77.18/48.98 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 77.18/48.98 inference(unit_resolution,[status(thm)],[9869, 1112, 9730])).
% 77.18/48.98 tff(9871,plain,
% 77.18/48.98 (~v127(constB87, bitIndex0)),
% 77.18/48.98 inference(unit_resolution,[status(thm)],[9870, 9863])).
% 77.18/48.98 tff(9872,plain,
% 77.18/48.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 77.18/48.98 inference(rewrite,[status(thm)],[])).
% 77.18/48.98 tff(9873,plain,
% 77.18/48.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 77.18/48.98 inference(quant_inst,[status(thm)],[])).
% 77.18/48.98 tff(9874,plain,
% 77.18/48.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 77.18/48.98 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 77.18/48.98 tff(9875,plain,
% 77.18/48.98 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 77.18/48.98 inference(unit_resolution,[status(thm)],[9874, 1130, 9742])).
% 77.18/48.98 tff(9876,plain,
% 77.18/48.99 (~v129(constB88, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9875, 9871])).
% 77.18/48.99 tff(9877,plain,
% 77.18/48.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9878,plain,
% 77.18/48.99 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9879,plain,
% 77.18/48.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 77.18/48.99 inference(monotonicity,[status(thm)],[9878])).
% 77.18/48.99 tff(9880,plain,
% 77.18/48.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 77.18/48.99 inference(transitivity,[status(thm)],[9879, 9877])).
% 77.18/48.99 tff(9881,plain,
% 77.18/48.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9882,plain,
% 77.18/48.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 77.18/48.99 tff(9883,plain,
% 77.18/48.99 ((~v90(constB88, bitIndex0)) | (~v100(constB88))),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9882, 1145, 9876])).
% 77.18/48.99 tff(9884,plain,
% 77.18/48.99 (~v90(constB88, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9883, 9776])).
% 77.18/48.99 tff(9885,plain,
% 77.18/48.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9886,plain,
% 77.18/48.99 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9887,plain,
% 77.18/48.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 77.18/48.99 inference(monotonicity,[status(thm)],[9886])).
% 77.18/48.99 tff(9888,plain,
% 77.18/48.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 77.18/48.99 inference(transitivity,[status(thm)],[9887, 9885])).
% 77.18/48.99 tff(9889,plain,
% 77.18/48.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9890,plain,
% 77.18/48.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 77.18/48.99 tff(9891,plain,
% 77.18/48.99 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9890, 381, 9807])).
% 77.18/48.99 tff(9892,plain,
% 77.18/48.99 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9891, 9819])).
% 77.18/48.99 tff(9893,plain,
% 77.18/48.99 (~v90(constB89, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9892, 9884])).
% 77.18/48.99 tff(9894,plain,
% 77.18/48.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9895,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9896,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 77.18/48.99 tff(9897,plain,
% 77.18/48.99 (v121(constB89)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9896, 1172, 9893, 9859, 9828])).
% 77.18/48.99 tff(9898,plain,
% 77.18/48.99 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9899,plain,
% 77.18/48.99 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9900,plain,
% 77.18/48.99 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9899, 9898])).
% 77.18/48.99 tff(9901,plain,
% 77.18/48.99 (v130(constB89, bitIndex1)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9900, 1321, 9897])).
% 77.18/48.99 tff(9902,assumption,(v26(constB89)), introduced(assumption)).
% 77.18/48.99 tff(9903,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9904,plain,
% 77.18/48.99 ($false),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9903, 14, 9902])).
% 77.18/48.99 tff(9905,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 77.18/48.99 tff(9906,plain,
% 77.18/48.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9907,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9908,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 77.18/48.99 tff(9909,plain,
% 77.18/48.99 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9908, 1031, 9905])).
% 77.18/48.99 tff(9910,plain,
% 77.18/48.99 (v127(constB89, bitIndex1)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9909, 9901])).
% 77.18/48.99 tff(9911,plain,
% 77.18/48.99 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9912,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 77.18/48.99 tff(9913,plain,
% 77.18/48.99 (nextState(constB89, constB90)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9912, 9911])).
% 77.18/48.99 tff(9914,plain,
% 77.18/48.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9915,plain,
% 77.18/48.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9916,plain,
% 77.18/48.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 77.18/48.99 tff(9917,plain,
% 77.18/48.99 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9916, 1046, 9913])).
% 77.18/48.99 tff(9918,plain,
% 77.18/48.99 (v129(constB90, bitIndex1)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9917, 9910])).
% 77.18/48.99 tff(9919,assumption,(v121(constB89)), introduced(assumption)).
% 77.18/48.99 tff(9920,plain,
% 77.18/48.99 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9921,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9922,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89))),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 77.18/48.99 tff(9923,plain,
% 77.18/48.99 (v117(constB89)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9922, 1183, 9919])).
% 77.18/48.99 tff(9924,plain,
% 77.18/48.99 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9925,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9926,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89))),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 77.18/48.99 tff(9927,plain,
% 77.18/48.99 (v116(constB89)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9926, 508, 9923])).
% 77.18/48.99 tff(9928,plain,
% 77.18/48.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89)))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9929,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9930,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89))),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9929, 9928])).
% 77.18/48.99 tff(9931,plain,
% 77.18/48.99 (v115(constB89)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9930, 519, 9927])).
% 77.18/48.99 tff(9932,plain,
% 77.18/48.99 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9933,plain,
% 77.18/48.99 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9934,plain,
% 77.18/48.99 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 77.18/48.99 tff(9935,plain,
% 77.18/48.99 (v130(constB89, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9934, 1362, 9919])).
% 77.18/48.99 tff(9936,plain,
% 77.18/48.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9937,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9938,plain,
% 77.18/48.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 77.18/48.99 tff(9939,plain,
% 77.18/48.99 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9938, 788, 9905])).
% 77.18/48.99 tff(9940,plain,
% 77.18/48.99 (v127(constB89, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9939, 9935])).
% 77.18/48.99 tff(9941,plain,
% 77.18/48.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 77.18/48.99 inference(rewrite,[status(thm)],[])).
% 77.18/48.99 tff(9942,plain,
% 77.18/48.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 77.18/48.99 inference(quant_inst,[status(thm)],[])).
% 77.18/48.99 tff(9943,plain,
% 77.18/48.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 77.18/48.99 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 77.18/48.99 tff(9944,plain,
% 77.18/48.99 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9943, 803, 9913])).
% 77.18/48.99 tff(9945,plain,
% 77.18/48.99 (v129(constB90, bitIndex0)),
% 77.18/48.99 inference(unit_resolution,[status(thm)],[9944, 9940])).
% 77.18/48.99 tff(9946,assumption,(~v90(constB90, bitIndex0)), introduced(assumption)).
% 77.18/48.99 tff(9947,plain,
% 77.18/48.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9948,plain,
% 77.18/49.00 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9949,plain,
% 77.18/49.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 77.18/49.00 inference(monotonicity,[status(thm)],[9948])).
% 77.18/49.00 tff(9950,plain,
% 77.18/49.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 77.18/49.00 inference(transitivity,[status(thm)],[9949, 9947])).
% 77.18/49.00 tff(9951,plain,
% 77.18/49.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9952,plain,
% 77.18/49.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 77.18/49.00 tff(9953,plain,
% 77.18/49.00 ((~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9952, 818, 9946])).
% 77.18/49.00 tff(9954,plain,
% 77.18/49.00 (~v100(constB90)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9953, 9945])).
% 77.18/49.00 tff(9955,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9956,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9957,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9956, 9955])).
% 77.18/49.00 tff(9958,plain,
% 77.18/49.00 (~v104(constB90)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9957, 589, 9913, 9804])).
% 77.18/49.00 tff(9959,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9960,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9961,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9960, 9959])).
% 77.18/49.00 tff(9962,plain,
% 77.18/49.00 (v102(constB90) | v104(constB90)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9961, 603, 9913])).
% 77.18/49.00 tff(9963,plain,
% 77.18/49.00 (v102(constB90)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9962, 9958])).
% 77.18/49.00 tff(9964,plain,
% 77.18/49.00 (v1(constB90) <=> v1(constB90)),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9965,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 77.18/49.00 tff(9966,plain,
% 77.18/49.00 (v1(constB90)),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9965, 9964])).
% 77.18/49.00 tff(9967,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9968,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9969,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 77.18/49.00 tff(9970,plain,
% 77.18/49.00 (v101(constB90) | (~v102(constB90))),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9969, 621, 9913, 9966])).
% 77.18/49.00 tff(9971,plain,
% 77.18/49.00 (v101(constB90)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9970, 9963])).
% 77.18/49.00 tff(9972,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9973,plain,
% 77.18/49.00 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9974,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 77.18/49.00 inference(monotonicity,[status(thm)],[9973])).
% 77.18/49.00 tff(9975,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 77.18/49.00 inference(transitivity,[status(thm)],[9974, 9972])).
% 77.18/49.00 tff(9976,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9977,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9976, 9975])).
% 77.18/49.00 tff(9978,plain,
% 77.18/49.00 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9977, 636, 9913])).
% 77.18/49.00 tff(9979,plain,
% 77.18/49.00 (v100(constB90) | (~v110(constB90))),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9978, 9971])).
% 77.18/49.00 tff(9980,plain,
% 77.18/49.00 (~v110(constB90)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9979, 9954])).
% 77.18/49.00 tff(9981,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9982,plain,
% 77.18/49.00 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9983,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 77.18/49.00 inference(monotonicity,[status(thm)],[9982])).
% 77.18/49.00 tff(9984,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 77.18/49.00 inference(transitivity,[status(thm)],[9983, 9981])).
% 77.18/49.00 tff(9985,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9986,plain,
% 77.18/49.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9985, 9984])).
% 77.18/49.00 tff(9987,plain,
% 77.18/49.00 (v110(constB90) | (~v108(constB89))),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9986, 571, 9913])).
% 77.18/49.00 tff(9988,plain,
% 77.18/49.00 (~v108(constB89)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9987, 9980])).
% 77.18/49.00 tff(9989,plain,
% 77.18/49.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9990,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9991,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 77.18/49.00 tff(9992,plain,
% 77.18/49.00 (~v112(constB89)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9991, 464, 9988])).
% 77.18/49.00 tff(9993,plain,
% 77.18/49.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9994,plain,
% 77.18/49.00 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(9995,plain,
% 77.18/49.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 77.18/49.00 inference(monotonicity,[status(thm)],[9994])).
% 77.18/49.00 tff(9996,plain,
% 77.18/49.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 77.18/49.00 inference(transitivity,[status(thm)],[9995, 9993])).
% 77.18/49.00 tff(9997,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(9998,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 77.18/49.00 tff(9999,plain,
% 77.18/49.00 (v112(constB89) | (~v113(constB89))),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9998, 555, 9905])).
% 77.18/49.00 tff(10000,plain,
% 77.18/49.00 (~v113(constB89)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[9999, 9992])).
% 77.18/49.00 tff(10001,plain,
% 77.18/49.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(10002,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(10003,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 77.18/49.00 tff(10004,plain,
% 77.18/49.00 (~v114(constB89)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[10003, 541, 10000])).
% 77.18/49.00 tff(10005,plain,
% 77.18/49.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(10006,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))),
% 77.18/49.00 inference(quant_inst,[status(thm)],[])).
% 77.18/49.00 tff(10007,plain,
% 77.18/49.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89))),
% 77.18/49.00 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 77.18/49.00 tff(10008,plain,
% 77.18/49.00 ($false),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[10007, 530, 10004, 9931])).
% 77.18/49.00 tff(10009,plain,((~v121(constB89)) | v90(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 77.18/49.00 tff(10010,plain,
% 77.18/49.00 (v90(constB90, bitIndex0)),
% 77.18/49.00 inference(unit_resolution,[status(thm)],[10009, 9897])).
% 77.18/49.00 tff(10011,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(10012,plain,
% 77.18/49.00 (((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0))) <=> (v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 77.18/49.00 inference(rewrite,[status(thm)],[])).
% 77.18/49.00 tff(10013,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0))))),
% 77.18/49.00 inference(monotonicity,[status(thm)],[10012])).
% 77.18/49.00 tff(10014,plain,
% 77.18/49.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 77.18/49.01 inference(transitivity,[status(thm)],[10013, 10011])).
% 77.18/49.01 tff(10015,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10016,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0))),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 77.18/49.01 tff(10017,plain,
% 77.18/49.01 (v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0))),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10016, 381, 9913])).
% 77.18/49.01 tff(10018,plain,
% 77.18/49.01 (v100(constB90)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10017, 10010, 9893])).
% 77.18/49.01 tff(10019,plain,
% 77.18/49.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10020,plain,
% 77.18/49.01 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10021,plain,
% 77.18/49.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 77.18/49.01 inference(monotonicity,[status(thm)],[10020])).
% 77.18/49.01 tff(10022,plain,
% 77.18/49.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 77.18/49.01 inference(transitivity,[status(thm)],[10021, 10019])).
% 77.18/49.01 tff(10023,plain,
% 77.18/49.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10024,plain,
% 77.18/49.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 77.18/49.01 tff(10025,plain,
% 77.18/49.01 (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10024, 1061, 10018])).
% 77.18/49.01 tff(10026,plain,
% 77.18/49.01 (v90(constB90, bitIndex1)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10025, 9918])).
% 77.18/49.01 tff(10027,plain,
% 77.18/49.01 ((~v1(constB91)) <=> (~v1(constB91))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10028,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 77.18/49.01 tff(10029,plain,
% 77.18/49.01 (~v1(constB91)),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10028, 10027])).
% 77.18/49.01 tff(10030,plain,
% 77.18/49.01 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10031,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 77.18/49.01 tff(10032,plain,
% 77.18/49.01 (nextState(constB90, constB91)),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10031, 10030])).
% 77.18/49.01 tff(10033,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10034,plain,
% 77.18/49.01 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10035,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 77.18/49.01 inference(monotonicity,[status(thm)],[10034])).
% 77.18/49.01 tff(10036,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 77.18/49.01 inference(transitivity,[status(thm)],[10035, 10033])).
% 77.18/49.01 tff(10037,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10038,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 77.18/49.01 tff(10039,plain,
% 77.18/49.01 (~v101(constB91)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10038, 307, 10032, 10029])).
% 77.18/49.01 tff(10040,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10041,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10042,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 77.18/49.01 tff(10043,plain,
% 77.18/49.01 (v101(constB91) | (~v100(constB91))),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10042, 324, 10032])).
% 77.18/49.01 tff(10044,plain,
% 77.18/49.01 (~v100(constB91)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10043, 10039])).
% 77.18/49.01 tff(10045,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10046,plain,
% 77.18/49.01 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10047,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 77.18/49.01 inference(monotonicity,[status(thm)],[10046])).
% 77.18/49.01 tff(10048,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 77.18/49.01 inference(transitivity,[status(thm)],[10047, 10045])).
% 77.18/49.01 tff(10049,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10050,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 77.18/49.01 tff(10051,plain,
% 77.18/49.01 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10050, 1079, 10032])).
% 77.18/49.01 tff(10052,plain,
% 77.18/49.01 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10051, 10044])).
% 77.18/49.01 tff(10053,plain,
% 77.18/49.01 (v90(constB91, bitIndex1)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10052, 10026])).
% 77.18/49.01 tff(10054,plain,
% 77.18/49.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10055,plain,
% 77.18/49.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10056,plain,
% 77.18/49.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10055, 10054])).
% 77.18/49.01 tff(10057,plain,
% 77.18/49.01 (~v130(constB89, bitIndex2)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10056, 1259, 9897])).
% 77.18/49.01 tff(10058,plain,
% 77.18/49.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10059,plain,
% 77.18/49.01 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10060,plain,
% 77.18/49.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 77.18/49.01 inference(monotonicity,[status(thm)],[10059])).
% 77.18/49.01 tff(10061,plain,
% 77.18/49.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 77.18/49.01 inference(transitivity,[status(thm)],[10060, 10058])).
% 77.18/49.01 tff(10062,plain,
% 77.18/49.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10063,plain,
% 77.18/49.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10062, 10061])).
% 77.18/49.01 tff(10064,plain,
% 77.18/49.01 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10063, 430, 9905])).
% 77.18/49.01 tff(10065,plain,
% 77.18/49.01 (~v127(constB89, bitIndex2)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10064, 10057])).
% 77.18/49.01 tff(10066,plain,
% 77.18/49.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10067,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 77.18/49.01 inference(quant_inst,[status(thm)],[])).
% 77.18/49.01 tff(10068,plain,
% 77.18/49.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 77.18/49.01 inference(modus_ponens,[status(thm)],[10067, 10066])).
% 77.18/49.01 tff(10069,plain,
% 77.18/49.01 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10068, 451, 9913])).
% 77.18/49.01 tff(10070,plain,
% 77.18/49.01 (~v129(constB90, bitIndex2)),
% 77.18/49.01 inference(unit_resolution,[status(thm)],[10069, 10065])).
% 77.18/49.01 tff(10071,plain,
% 77.18/49.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10072,plain,
% 77.18/49.01 (((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2)) <=> ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 77.18/49.01 inference(rewrite,[status(thm)],[])).
% 77.18/49.01 tff(10073,plain,
% 77.18/49.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))))),
% 77.18/49.01 inference(monotonicity,[status(thm)],[10072])).
% 77.18/49.01 tff(10074,plain,
% 77.18/49.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 77.18/49.02 inference(transitivity,[status(thm)],[10073, 10071])).
% 77.18/49.02 tff(10075,plain,
% 77.18/49.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10076,plain,
% 77.18/49.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10075, 10074])).
% 77.18/49.02 tff(10077,plain,
% 77.18/49.02 ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10076, 655, 10018])).
% 77.18/49.02 tff(10078,plain,
% 77.18/49.02 (~v90(constB90, bitIndex2)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10077, 10070])).
% 77.18/49.02 tff(10079,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10080,plain,
% 77.18/49.02 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10081,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 77.18/49.02 inference(monotonicity,[status(thm)],[10080])).
% 77.18/49.02 tff(10082,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 77.18/49.02 inference(transitivity,[status(thm)],[10081, 10079])).
% 77.18/49.02 tff(10083,plain,
% 77.18/49.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10084,plain,
% 77.18/49.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10083, 10082])).
% 77.18/49.02 tff(10085,plain,
% 77.18/49.02 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10084, 339, 10032])).
% 77.18/49.02 tff(10086,plain,
% 77.18/49.02 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10085, 10044])).
% 77.18/49.02 tff(10087,plain,
% 77.18/49.02 (~v90(constB91, bitIndex2)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10086, 10078])).
% 77.18/49.02 tff(10088,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10089,plain,
% 77.18/49.02 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10090,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 77.18/49.02 inference(monotonicity,[status(thm)],[10089])).
% 77.18/49.02 tff(10091,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 77.18/49.02 inference(transitivity,[status(thm)],[10090, 10088])).
% 77.18/49.02 tff(10092,plain,
% 77.18/49.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10093,plain,
% 77.18/49.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 77.18/49.02 tff(10094,plain,
% 77.18/49.02 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10093, 836, 10032])).
% 77.18/49.02 tff(10095,plain,
% 77.18/49.02 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10094, 10044])).
% 77.18/49.02 tff(10096,plain,
% 77.18/49.02 (v90(constB91, bitIndex0)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10095, 10010])).
% 77.18/49.02 tff(10097,plain,
% 77.18/49.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10098,plain,
% 77.18/49.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10099,plain,
% 77.18/49.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 77.18/49.02 tff(10100,plain,
% 77.18/49.02 ((~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10099, 1403, 10096])).
% 77.18/49.02 tff(10101,plain,
% 77.18/49.02 (v122(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10100, 10087, 10053])).
% 77.18/49.02 tff(10102,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10103,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10104,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 77.18/49.02 tff(10105,plain,
% 77.18/49.02 (v116(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10104, 1470, 10101])).
% 77.18/49.02 tff(10106,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10107,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10108,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 77.18/49.02 tff(10109,plain,
% 77.18/49.02 (v115(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10108, 519, 10105])).
% 77.18/49.02 tff(10110,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10111,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10112,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10111, 10110])).
% 77.18/49.02 tff(10113,plain,
% 77.18/49.02 (v114(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10112, 530, 10109])).
% 77.18/49.02 tff(10114,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10115,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10116,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10115, 10114])).
% 77.18/49.02 tff(10117,plain,
% 77.18/49.02 (v113(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10116, 541, 10113])).
% 77.18/49.02 tff(10118,assumption,(~v108(constB91)), introduced(assumption)).
% 77.18/49.02 tff(10119,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10120,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10121,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10120, 10119])).
% 77.18/49.02 tff(10122,plain,
% 77.18/49.02 (~v112(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10121, 464, 10118])).
% 77.18/49.02 tff(10123,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB91) | (~v26(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB91) | (~v26(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10124,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB91) | (~v26(constB91)))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10125,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB91) | (~v26(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 77.18/49.02 tff(10126,plain,
% 77.18/49.02 (~v26(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10125, 475, 10118])).
% 77.18/49.02 tff(10127,assumption,(v113(constB91)), introduced(assumption)).
% 77.18/49.02 tff(10128,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10129,plain,
% 77.18/49.02 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10130,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 77.18/49.02 inference(monotonicity,[status(thm)],[10129])).
% 77.18/49.02 tff(10131,plain,
% 77.18/49.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 77.18/49.02 inference(transitivity,[status(thm)],[10130, 10128])).
% 77.18/49.02 tff(10132,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 77.18/49.02 inference(quant_inst,[status(thm)],[])).
% 77.18/49.02 tff(10133,plain,
% 77.18/49.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10132, 10131])).
% 77.18/49.02 tff(10134,plain,
% 77.18/49.02 (v26(constB91) | v112(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10133, 555, 10127])).
% 77.18/49.02 tff(10135,plain,
% 77.18/49.02 ($false),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10134, 10126, 10122])).
% 77.18/49.02 tff(10136,plain,(v108(constB91) | (~v113(constB91))), inference(lemma,lemma(discharge,[]))).
% 77.18/49.02 tff(10137,plain,
% 77.18/49.02 (v108(constB91)),
% 77.18/49.02 inference(unit_resolution,[status(thm)],[10136, 10117])).
% 77.18/49.02 tff(10138,plain,
% 77.18/49.02 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10139,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 77.18/49.02 tff(10140,plain,
% 77.18/49.02 (nextState(constB91, constB92)),
% 77.18/49.02 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 77.18/49.02 tff(10141,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10142,plain,
% 77.18/49.02 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 77.18/49.02 inference(rewrite,[status(thm)],[])).
% 77.18/49.02 tff(10143,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 77.18/49.02 inference(monotonicity,[status(thm)],[10142])).
% 77.18/49.02 tff(10144,plain,
% 77.18/49.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 77.18/49.03 inference(transitivity,[status(thm)],[10143, 10141])).
% 77.18/49.03 tff(10145,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10146,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10145, 10144])).
% 77.18/49.03 tff(10147,plain,
% 77.18/49.03 (v110(constB92) | (~v108(constB91))),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10146, 571, 10140])).
% 77.18/49.03 tff(10148,plain,
% 77.18/49.03 (v110(constB92)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10147, 10137])).
% 77.18/49.03 tff(10149,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10150,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10151,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10150, 10149])).
% 77.18/49.03 tff(10152,plain,
% 77.18/49.03 (~v104(constB92)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10151, 589, 10140, 10029])).
% 77.18/49.03 tff(10153,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10154,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10155,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10154, 10153])).
% 77.18/49.03 tff(10156,plain,
% 77.18/49.03 (v102(constB92) | v104(constB92)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10155, 603, 10140])).
% 77.18/49.03 tff(10157,plain,
% 77.18/49.03 (v102(constB92)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10156, 10152])).
% 77.18/49.03 tff(10158,plain,
% 77.18/49.03 (v1(constB92) <=> v1(constB92)),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10159,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 77.18/49.03 tff(10160,plain,
% 77.18/49.03 (v1(constB92)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 77.18/49.03 tff(10161,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10162,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10163,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10162, 10161])).
% 77.18/49.03 tff(10164,plain,
% 77.18/49.03 (v101(constB92) | (~v102(constB92))),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10163, 621, 10140, 10160])).
% 77.18/49.03 tff(10165,plain,
% 77.18/49.03 (v101(constB92)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10164, 10157])).
% 77.18/49.03 tff(10166,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10167,plain,
% 77.18/49.03 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10168,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 77.18/49.03 inference(monotonicity,[status(thm)],[10167])).
% 77.18/49.03 tff(10169,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 77.18/49.03 inference(transitivity,[status(thm)],[10168, 10166])).
% 77.18/49.03 tff(10170,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10171,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 77.18/49.03 tff(10172,plain,
% 77.18/49.03 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10171, 636, 10140])).
% 77.18/49.03 tff(10173,plain,
% 77.18/49.03 (v100(constB92) | (~v110(constB92))),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10172, 10165])).
% 77.18/49.03 tff(10174,plain,
% 77.18/49.03 (v100(constB92)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10173, 10148])).
% 77.18/49.03 tff(10175,plain,
% 77.18/49.03 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10176,plain,
% 77.18/49.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10177,plain,
% 77.18/49.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 77.18/49.03 tff(10178,plain,
% 77.18/49.03 (v130(constB91, bitIndex2)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10177, 1417, 10101])).
% 77.18/49.03 tff(10179,assumption,(v26(constB91)), introduced(assumption)).
% 77.18/49.03 tff(10180,plain,
% 77.18/49.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10181,plain,
% 77.18/49.03 ($false),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10180, 14, 10179])).
% 77.18/49.03 tff(10182,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 77.18/49.03 tff(10183,plain,
% 77.18/49.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10184,plain,
% 77.18/49.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10185,plain,
% 77.18/49.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 77.18/49.03 tff(10186,plain,
% 77.18/49.03 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10185, 1431, 10182])).
% 77.18/49.03 tff(10187,plain,
% 77.18/49.03 (v127(constB91, bitIndex2)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10186, 10178])).
% 77.18/49.03 tff(10188,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10189,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10190,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 77.18/49.03 tff(10191,plain,
% 77.18/49.03 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10190, 1449, 10140])).
% 77.18/49.03 tff(10192,plain,
% 77.18/49.03 (v129(constB92, bitIndex2)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10191, 10187])).
% 77.18/49.03 tff(10193,plain,
% 77.18/49.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10194,plain,
% 77.18/49.03 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10195,plain,
% 77.18/49.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 77.18/49.03 inference(monotonicity,[status(thm)],[10194])).
% 77.18/49.03 tff(10196,plain,
% 77.18/49.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 77.18/49.03 inference(transitivity,[status(thm)],[10195, 10193])).
% 77.18/49.03 tff(10197,plain,
% 77.18/49.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10198,plain,
% 77.18/49.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10197, 10196])).
% 77.18/49.03 tff(10199,plain,
% 77.18/49.03 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10198, 1539, 10192])).
% 77.18/49.03 tff(10200,plain,
% 77.18/49.03 (v90(constB92, bitIndex2)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10199, 10174])).
% 77.18/49.03 tff(10201,plain,
% 77.18/49.03 ((~v1(constB93)) <=> (~v1(constB93))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10202,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 77.18/49.03 tff(10203,plain,
% 77.18/49.03 (~v1(constB93)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 77.18/49.03 tff(10204,plain,
% 77.18/49.03 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10205,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 77.18/49.03 tff(10206,plain,
% 77.18/49.03 (nextState(constB92, constB93)),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 77.18/49.03 tff(10207,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10208,plain,
% 77.18/49.03 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 77.18/49.03 inference(rewrite,[status(thm)],[])).
% 77.18/49.03 tff(10209,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 77.18/49.03 inference(monotonicity,[status(thm)],[10208])).
% 77.18/49.03 tff(10210,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 77.18/49.03 inference(transitivity,[status(thm)],[10209, 10207])).
% 77.18/49.03 tff(10211,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 77.18/49.03 inference(quant_inst,[status(thm)],[])).
% 77.18/49.03 tff(10212,plain,
% 77.18/49.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 77.18/49.03 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 77.18/49.03 tff(10213,plain,
% 77.18/49.03 (~v101(constB93)),
% 77.18/49.03 inference(unit_resolution,[status(thm)],[10212, 307, 10206, 10203])).
% 77.18/49.03 tff(10214,plain,
% 77.18/49.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10215,plain,
% 77.18/49.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10216,plain,
% 77.18/49.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10215, 10214])).
% 77.18/49.04 tff(10217,plain,
% 77.18/49.04 (v101(constB93) | (~v100(constB93))),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10216, 324, 10206])).
% 77.18/49.04 tff(10218,plain,
% 77.18/49.04 (~v100(constB93)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10217, 10213])).
% 77.18/49.04 tff(10219,plain,
% 77.18/49.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10220,plain,
% 77.18/49.04 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10221,plain,
% 77.18/49.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 77.18/49.04 inference(monotonicity,[status(thm)],[10220])).
% 77.18/49.04 tff(10222,plain,
% 77.18/49.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 77.18/49.04 inference(transitivity,[status(thm)],[10221, 10219])).
% 77.18/49.04 tff(10223,plain,
% 77.18/49.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10224,plain,
% 77.18/49.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 77.18/49.04 tff(10225,plain,
% 77.18/49.04 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10224, 1575, 10206])).
% 77.18/49.04 tff(10226,plain,
% 77.18/49.04 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10225, 10218])).
% 77.18/49.04 tff(10227,plain,
% 77.18/49.04 (v90(constB93, bitIndex2)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10226, 10200])).
% 77.18/49.04 tff(10228,plain,
% 77.18/49.04 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10229,plain,
% 77.18/49.04 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10230,plain,
% 77.18/49.04 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 77.18/49.04 tff(10231,plain,
% 77.18/49.04 (~v130(constB91, bitIndex1)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10230, 1594, 10101])).
% 77.18/49.04 tff(10232,assumption,(v127(constB91, bitIndex1)), introduced(assumption)).
% 77.18/49.04 tff(10233,assumption,(~v130(constB91, bitIndex1)), introduced(assumption)).
% 77.18/49.04 tff(10234,plain,
% 77.18/49.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10235,plain,
% 77.18/49.04 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10236,plain,
% 77.18/49.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 77.18/49.04 inference(monotonicity,[status(thm)],[10235])).
% 77.18/49.04 tff(10237,plain,
% 77.18/49.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 77.18/49.04 inference(transitivity,[status(thm)],[10236, 10234])).
% 77.18/49.04 tff(10238,plain,
% 77.18/49.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10239,plain,
% 77.18/49.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10238, 10237])).
% 77.18/49.04 tff(10240,plain,
% 77.18/49.04 ((~v127(constB91, bitIndex1)) | v26(constB91)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10239, 714, 10233])).
% 77.18/49.04 tff(10241,plain,
% 77.18/49.04 (v26(constB91)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10240, 10232])).
% 77.18/49.04 tff(10242,plain,
% 77.18/49.04 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB91)) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB91)) | (~v127(constB91, bitIndex1)))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10243,plain,
% 77.18/49.04 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB91)) | (~v127(constB91, bitIndex1)))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10244,plain,
% 77.18/49.04 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB91)) | (~v127(constB91, bitIndex1))),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10243, 10242])).
% 77.18/49.04 tff(10245,plain,
% 77.18/49.04 ($false),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10244, 7593, 10232, 10241])).
% 77.18/49.04 tff(10246,plain,((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 77.18/49.04 tff(10247,plain,
% 77.18/49.04 (~v127(constB91, bitIndex1)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10246, 10231])).
% 77.18/49.04 tff(10248,plain,
% 77.18/49.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10249,plain,
% 77.18/49.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10250,plain,
% 77.18/49.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10249, 10248])).
% 77.18/49.04 tff(10251,plain,
% 77.18/49.04 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10250, 732, 10140])).
% 77.18/49.04 tff(10252,plain,
% 77.18/49.04 (~v129(constB92, bitIndex1)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10251, 10247])).
% 77.18/49.04 tff(10253,plain,
% 77.18/49.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10254,plain,
% 77.18/49.04 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 77.18/49.04 inference(rewrite,[status(thm)],[])).
% 77.18/49.04 tff(10255,plain,
% 77.18/49.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 77.18/49.04 inference(monotonicity,[status(thm)],[10254])).
% 77.18/49.04 tff(10256,plain,
% 77.18/49.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 77.18/49.04 inference(transitivity,[status(thm)],[10255, 10253])).
% 77.18/49.04 tff(10257,plain,
% 77.18/49.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 77.18/49.04 inference(quant_inst,[status(thm)],[])).
% 77.18/49.04 tff(10258,plain,
% 77.18/49.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 77.18/49.04 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 77.18/49.04 tff(10259,plain,
% 77.18/49.04 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10258, 747, 10252])).
% 77.18/49.04 tff(10260,plain,
% 77.18/49.04 (~v90(constB92, bitIndex1)),
% 77.18/49.04 inference(unit_resolution,[status(thm)],[10259, 10174])).
% 77.18/49.04 tff(10261,plain,
% 77.18/49.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10262,plain,
% 77.18/49.05 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10263,plain,
% 77.18/49.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 77.18/49.05 inference(monotonicity,[status(thm)],[10262])).
% 77.18/49.05 tff(10264,plain,
% 77.18/49.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 77.18/49.05 inference(transitivity,[status(thm)],[10263, 10261])).
% 77.18/49.05 tff(10265,plain,
% 77.18/49.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10266,plain,
% 77.18/49.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10265, 10264])).
% 77.18/49.05 tff(10267,plain,
% 77.18/49.05 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10266, 360, 10206])).
% 77.18/49.05 tff(10268,plain,
% 77.18/49.05 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10267, 10218])).
% 77.18/49.05 tff(10269,plain,
% 77.18/49.05 (~v90(constB93, bitIndex1)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10268, 10260])).
% 77.18/49.05 tff(10270,plain,
% 77.18/49.05 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10271,plain,
% 77.18/49.05 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10272,plain,
% 77.18/49.05 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 77.18/49.05 tff(10273,plain,
% 77.18/49.05 (~v130(constB91, bitIndex0)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10272, 1638, 10101])).
% 77.18/49.05 tff(10274,assumption,(v127(constB91, bitIndex0)), introduced(assumption)).
% 77.18/49.05 tff(10275,assumption,(~v130(constB91, bitIndex0)), introduced(assumption)).
% 77.18/49.05 tff(10276,plain,
% 77.18/49.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10277,plain,
% 77.18/49.05 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10278,plain,
% 77.18/49.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 77.18/49.05 inference(monotonicity,[status(thm)],[10277])).
% 77.18/49.05 tff(10279,plain,
% 77.18/49.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 77.18/49.05 inference(transitivity,[status(thm)],[10278, 10276])).
% 77.18/49.05 tff(10280,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10281,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 77.18/49.05 tff(10282,plain,
% 77.18/49.05 ((~v127(constB91, bitIndex0)) | v26(constB91)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10281, 1112, 10275])).
% 77.18/49.05 tff(10283,plain,
% 77.18/49.05 (v26(constB91)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10282, 10274])).
% 77.18/49.05 tff(10284,plain,
% 77.18/49.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB91)) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB91)) | (~v127(constB91, bitIndex0)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10285,plain,
% 77.18/49.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB91)) | (~v127(constB91, bitIndex0)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10286,plain,
% 77.18/49.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB91)) | (~v127(constB91, bitIndex0))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 77.18/49.05 tff(10287,plain,
% 77.18/49.05 ($false),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10286, 2992, 10274, 10283])).
% 77.18/49.05 tff(10288,plain,((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 77.18/49.05 tff(10289,plain,
% 77.18/49.05 (~v127(constB91, bitIndex0)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10288, 10273])).
% 77.18/49.05 tff(10290,plain,
% 77.18/49.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10291,plain,
% 77.18/49.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10292,plain,
% 77.18/49.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 77.18/49.05 tff(10293,plain,
% 77.18/49.05 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10292, 1130, 10140])).
% 77.18/49.05 tff(10294,plain,
% 77.18/49.05 (~v129(constB92, bitIndex0)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10293, 10289])).
% 77.18/49.05 tff(10295,plain,
% 77.18/49.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10296,plain,
% 77.18/49.05 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10297,plain,
% 77.18/49.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 77.18/49.05 inference(monotonicity,[status(thm)],[10296])).
% 77.18/49.05 tff(10298,plain,
% 77.18/49.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 77.18/49.05 inference(transitivity,[status(thm)],[10297, 10295])).
% 77.18/49.05 tff(10299,plain,
% 77.18/49.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10300,plain,
% 77.18/49.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10299, 10298])).
% 77.18/49.05 tff(10301,plain,
% 77.18/49.05 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10300, 1145, 10294])).
% 77.18/49.05 tff(10302,plain,
% 77.18/49.05 (~v90(constB92, bitIndex0)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10301, 10174])).
% 77.18/49.05 tff(10303,plain,
% 77.18/49.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10304,plain,
% 77.18/49.05 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10305,plain,
% 77.18/49.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 77.18/49.05 inference(monotonicity,[status(thm)],[10304])).
% 77.18/49.05 tff(10306,plain,
% 77.18/49.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 77.18/49.05 inference(transitivity,[status(thm)],[10305, 10303])).
% 77.18/49.05 tff(10307,plain,
% 77.18/49.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10308,plain,
% 77.18/49.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 77.18/49.05 tff(10309,plain,
% 77.18/49.05 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10308, 381, 10206])).
% 77.18/49.05 tff(10310,plain,
% 77.18/49.05 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10309, 10218])).
% 77.18/49.05 tff(10311,plain,
% 77.18/49.05 (~v90(constB93, bitIndex0)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10310, 10302])).
% 77.18/49.05 tff(10312,plain,
% 77.18/49.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10313,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10314,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 77.18/49.05 tff(10315,plain,
% 77.18/49.05 (v123(constB93)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10314, 1682, 10311, 10269, 10227])).
% 77.18/49.05 tff(10316,assumption,(v123(constB93)), introduced(assumption)).
% 77.18/49.05 tff(10317,plain,
% 77.18/49.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10318,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10319,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 77.18/49.05 tff(10320,plain,
% 77.18/49.05 (v115(constB93)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10319, 1693, 10316])).
% 77.18/49.05 tff(10321,plain,
% 77.18/49.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93)))),
% 77.18/49.05 inference(rewrite,[status(thm)],[])).
% 77.18/49.05 tff(10322,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))),
% 77.18/49.05 inference(quant_inst,[status(thm)],[])).
% 77.18/49.05 tff(10323,plain,
% 77.18/49.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93))),
% 77.18/49.05 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 77.18/49.05 tff(10324,plain,
% 77.18/49.05 (v114(constB93)),
% 77.18/49.05 inference(unit_resolution,[status(thm)],[10323, 530, 10320])).
% 77.18/49.05 tff(10325,plain,
% 77.18/49.05 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10326,plain,
% 77.18/49.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10327,plain,
% 77.18/49.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0)),
% 77.18/49.06 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 77.18/49.06 tff(10328,plain,
% 77.18/49.06 (v130(constB93, bitIndex0)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10327, 1836, 10316])).
% 77.18/49.06 tff(10329,assumption,(v26(constB93)), introduced(assumption)).
% 77.18/49.06 tff(10330,plain,
% 77.18/49.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10331,plain,
% 77.18/49.06 ($false),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10330, 14, 10329])).
% 77.18/49.06 tff(10332,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 77.18/49.06 tff(10333,plain,
% 77.18/49.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10334,plain,
% 77.18/49.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10335,plain,
% 77.18/49.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 77.18/49.06 inference(modus_ponens,[status(thm)],[10334, 10333])).
% 77.18/49.06 tff(10336,plain,
% 77.18/49.06 ((~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10335, 788, 10332])).
% 77.18/49.06 tff(10337,plain,
% 77.18/49.06 (v127(constB93, bitIndex0)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10336, 10328])).
% 77.18/49.06 tff(10338,plain,
% 77.18/49.06 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10339,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 77.18/49.06 tff(10340,plain,
% 77.18/49.06 (nextState(constB93, constB94)),
% 77.18/49.06 inference(modus_ponens,[status(thm)],[10339, 10338])).
% 77.18/49.06 tff(10341,plain,
% 77.18/49.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10342,plain,
% 77.18/49.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10343,plain,
% 77.18/49.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 77.18/49.06 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 77.18/49.06 tff(10344,plain,
% 77.18/49.06 ((~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10343, 803, 10340])).
% 77.18/49.06 tff(10345,plain,
% 77.18/49.06 (v129(constB94, bitIndex0)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10344, 10337])).
% 77.18/49.06 tff(10346,assumption,(~v90(constB94, bitIndex0)), introduced(assumption)).
% 77.18/49.06 tff(10347,plain,
% 77.18/49.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10348,plain,
% 77.18/49.06 ((v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10349,plain,
% 77.18/49.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))))),
% 77.18/49.06 inference(monotonicity,[status(thm)],[10348])).
% 77.18/49.06 tff(10350,plain,
% 77.18/49.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 77.18/49.06 inference(transitivity,[status(thm)],[10349, 10347])).
% 77.18/49.06 tff(10351,plain,
% 77.18/49.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10352,plain,
% 77.18/49.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 77.18/49.06 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 77.18/49.06 tff(10353,plain,
% 77.18/49.06 ((~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10352, 818, 10346])).
% 77.18/49.06 tff(10354,plain,
% 77.18/49.06 (~v100(constB94)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10353, 10345])).
% 77.18/49.06 tff(10355,plain,
% 77.18/49.06 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10356,plain,
% 77.18/49.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10357,plain,
% 77.18/49.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 77.18/49.06 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 77.18/49.06 tff(10358,plain,
% 77.18/49.06 (~v104(constB94)),
% 77.18/49.06 inference(unit_resolution,[status(thm)],[10357, 589, 10340, 10203])).
% 77.18/49.06 tff(10359,plain,
% 77.18/49.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 77.18/49.06 inference(rewrite,[status(thm)],[])).
% 77.18/49.06 tff(10360,plain,
% 77.18/49.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 77.18/49.06 inference(quant_inst,[status(thm)],[])).
% 77.18/49.06 tff(10361,plain,
% 77.18/49.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10360, 10359])).
% 77.18/49.07 tff(10362,plain,
% 77.18/49.07 (v102(constB94) | v104(constB94)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10361, 603, 10340])).
% 77.18/49.07 tff(10363,plain,
% 77.18/49.07 (v102(constB94)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10362, 10358])).
% 77.18/49.07 tff(10364,plain,
% 77.18/49.07 (v1(constB94) <=> v1(constB94)),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10365,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 77.18/49.07 tff(10366,plain,
% 77.18/49.07 (v1(constB94)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10365, 10364])).
% 77.18/49.07 tff(10367,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10368,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10369,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 77.18/49.07 tff(10370,plain,
% 77.18/49.07 (v101(constB94) | (~v102(constB94))),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10369, 621, 10340, 10366])).
% 77.18/49.07 tff(10371,plain,
% 77.18/49.07 (v101(constB94)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10370, 10363])).
% 77.18/49.07 tff(10372,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10373,plain,
% 77.18/49.07 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10374,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 77.18/49.07 inference(monotonicity,[status(thm)],[10373])).
% 77.18/49.07 tff(10375,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 77.18/49.07 inference(transitivity,[status(thm)],[10374, 10372])).
% 77.18/49.07 tff(10376,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10377,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 77.18/49.07 tff(10378,plain,
% 77.18/49.07 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10377, 636, 10340])).
% 77.18/49.07 tff(10379,plain,
% 77.18/49.07 (v100(constB94) | (~v110(constB94))),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10378, 10371])).
% 77.18/49.07 tff(10380,plain,
% 77.18/49.07 (~v110(constB94)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10379, 10354])).
% 77.18/49.07 tff(10381,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10382,plain,
% 77.18/49.07 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10383,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 77.18/49.07 inference(monotonicity,[status(thm)],[10382])).
% 77.18/49.07 tff(10384,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 77.18/49.07 inference(transitivity,[status(thm)],[10383, 10381])).
% 77.18/49.07 tff(10385,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10386,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 77.18/49.07 tff(10387,plain,
% 77.18/49.07 (v110(constB94) | (~v108(constB93))),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10386, 571, 10340])).
% 77.18/49.07 tff(10388,plain,
% 77.18/49.07 (~v108(constB93)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10387, 10380])).
% 77.18/49.07 tff(10389,plain,
% 77.18/49.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10390,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10391,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 77.18/49.07 tff(10392,plain,
% 77.18/49.07 (~v112(constB93)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10391, 464, 10388])).
% 77.18/49.07 tff(10393,plain,
% 77.18/49.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10394,plain,
% 77.18/49.07 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10395,plain,
% 77.18/49.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 77.18/49.07 inference(monotonicity,[status(thm)],[10394])).
% 77.18/49.07 tff(10396,plain,
% 77.18/49.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 77.18/49.07 inference(transitivity,[status(thm)],[10395, 10393])).
% 77.18/49.07 tff(10397,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10398,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10397, 10396])).
% 77.18/49.07 tff(10399,plain,
% 77.18/49.07 (v112(constB93) | (~v113(constB93))),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10398, 555, 10332])).
% 77.18/49.07 tff(10400,plain,
% 77.18/49.07 (~v113(constB93)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10399, 10392])).
% 77.18/49.07 tff(10401,plain,
% 77.18/49.07 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10402,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10403,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10402, 10401])).
% 77.18/49.07 tff(10404,plain,
% 77.18/49.07 ($false),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10403, 541, 10400, 10324])).
% 77.18/49.07 tff(10405,plain,((~v123(constB93)) | v90(constB94, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 77.18/49.07 tff(10406,plain,
% 77.18/49.07 (v90(constB94, bitIndex0)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10405, 10315])).
% 77.18/49.07 tff(10407,plain,
% 77.18/49.07 ((~v1(constB95)) <=> (~v1(constB95))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10408,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 77.18/49.07 tff(10409,plain,
% 77.18/49.07 (~v1(constB95)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 77.18/49.07 tff(10410,plain,
% 77.18/49.07 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10411,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 77.18/49.07 tff(10412,plain,
% 77.18/49.07 (nextState(constB94, constB95)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10411, 10410])).
% 77.18/49.07 tff(10413,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10414,plain,
% 77.18/49.07 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10415,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 77.18/49.07 inference(monotonicity,[status(thm)],[10414])).
% 77.18/49.07 tff(10416,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 77.18/49.07 inference(transitivity,[status(thm)],[10415, 10413])).
% 77.18/49.07 tff(10417,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10418,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 77.18/49.07 tff(10419,plain,
% 77.18/49.07 (~v101(constB95)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10418, 307, 10412, 10409])).
% 77.18/49.07 tff(10420,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10421,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10422,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10421, 10420])).
% 77.18/49.07 tff(10423,plain,
% 77.18/49.07 (v101(constB95) | (~v100(constB95))),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10422, 324, 10412])).
% 77.18/49.07 tff(10424,plain,
% 77.18/49.07 (~v100(constB95)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10423, 10419])).
% 77.18/49.07 tff(10425,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10426,plain,
% 77.18/49.07 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10427,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)))),
% 77.18/49.07 inference(monotonicity,[status(thm)],[10426])).
% 77.18/49.07 tff(10428,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 77.18/49.07 inference(transitivity,[status(thm)],[10427, 10425])).
% 77.18/49.07 tff(10429,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10430,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 77.18/49.07 tff(10431,plain,
% 77.18/49.07 ((~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10430, 836, 10412])).
% 77.18/49.07 tff(10432,plain,
% 77.18/49.07 ((~v90(constB94, bitIndex0)) | v90(constB95, bitIndex0)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10431, 10424])).
% 77.18/49.07 tff(10433,plain,
% 77.18/49.07 (v90(constB95, bitIndex0)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10432, 10406])).
% 77.18/49.07 tff(10434,plain,
% 77.18/49.07 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))))),
% 77.18/49.07 inference(bind,[status(th)],[])).
% 77.18/49.07 tff(10435,plain,
% 77.18/49.07 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 77.18/49.07 inference(quant_intro,[status(thm)],[10434])).
% 77.18/49.07 tff(10436,plain,
% 77.18/49.07 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10437,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 77.18/49.07 tff(10438,plain,
% 77.18/49.07 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 77.18/49.07 tff(10439,plain,(
% 77.18/49.07 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 77.18/49.07 inference(skolemize,[status(sab)],[10438])).
% 77.18/49.07 tff(10440,plain,
% 77.18/49.07 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10439, 10435])).
% 77.18/49.07 tff(10441,plain,
% 77.18/49.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB95, bitIndex0)) | (~v123(constB95)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB95, bitIndex0)) | (~v123(constB95)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10442,plain,
% 77.18/49.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB95, bitIndex0)) | (~v123(constB95)))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10443,plain,
% 77.18/49.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB95, bitIndex0)) | (~v123(constB95))),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 77.18/49.07 tff(10444,plain,
% 77.18/49.07 (~v123(constB95)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10443, 10440, 10433])).
% 77.18/49.07 tff(10445,plain,
% 77.18/49.07 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10446,plain,
% 77.18/49.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10447,plain,
% 77.18/49.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 77.18/49.07 tff(10448,plain,
% 77.18/49.07 (v130(constB93, bitIndex2)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10447, 1877, 10315])).
% 77.18/49.07 tff(10449,plain,
% 77.18/49.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10450,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10451,plain,
% 77.18/49.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 77.18/49.07 tff(10452,plain,
% 77.18/49.07 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10451, 1431, 10332])).
% 77.18/49.07 tff(10453,plain,
% 77.18/49.07 (v127(constB93, bitIndex2)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10452, 10448])).
% 77.18/49.07 tff(10454,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10455,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 77.18/49.07 inference(quant_inst,[status(thm)],[])).
% 77.18/49.07 tff(10456,plain,
% 77.18/49.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 77.18/49.07 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 77.18/49.07 tff(10457,plain,
% 77.18/49.07 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10456, 1449, 10340])).
% 77.18/49.07 tff(10458,plain,
% 77.18/49.07 (v129(constB94, bitIndex2)),
% 77.18/49.07 inference(unit_resolution,[status(thm)],[10457, 10453])).
% 77.18/49.07 tff(10459,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10460,plain,
% 77.18/49.07 (((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))) <=> (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 77.18/49.07 inference(rewrite,[status(thm)],[])).
% 77.18/49.07 tff(10461,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))))),
% 77.18/49.07 inference(monotonicity,[status(thm)],[10460])).
% 77.18/49.07 tff(10462,plain,
% 77.18/49.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 77.27/49.08 inference(transitivity,[status(thm)],[10461, 10459])).
% 77.27/49.08 tff(10463,plain,
% 77.27/49.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 77.27/49.08 inference(quant_inst,[status(thm)],[])).
% 77.27/49.08 tff(10464,plain,
% 77.27/49.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 77.27/49.08 inference(modus_ponens,[status(thm)],[10463, 10462])).
% 77.27/49.08 tff(10465,plain,
% 77.27/49.08 (v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10464, 381, 10340])).
% 77.27/49.08 tff(10466,plain,
% 77.27/49.08 (v100(constB94)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10465, 10406, 10311])).
% 77.27/49.08 tff(10467,plain,
% 77.27/49.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10468,plain,
% 77.27/49.08 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10469,plain,
% 77.27/49.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 77.27/49.08 inference(monotonicity,[status(thm)],[10468])).
% 77.27/49.08 tff(10470,plain,
% 77.27/49.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 77.27/49.08 inference(transitivity,[status(thm)],[10469, 10467])).
% 77.27/49.08 tff(10471,plain,
% 77.27/49.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 77.27/49.08 inference(quant_inst,[status(thm)],[])).
% 77.27/49.08 tff(10472,plain,
% 77.27/49.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 77.27/49.08 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 77.27/49.08 tff(10473,plain,
% 77.27/49.08 (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2))),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10472, 1539, 10466])).
% 77.27/49.08 tff(10474,plain,
% 77.27/49.08 (v90(constB94, bitIndex2)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10473, 10458])).
% 77.27/49.08 tff(10475,plain,
% 77.27/49.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10476,plain,
% 77.27/49.08 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10477,plain,
% 77.27/49.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 77.27/49.08 inference(monotonicity,[status(thm)],[10476])).
% 77.27/49.08 tff(10478,plain,
% 77.27/49.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 77.27/49.08 inference(transitivity,[status(thm)],[10477, 10475])).
% 77.27/49.08 tff(10479,plain,
% 77.27/49.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 77.27/49.08 inference(quant_inst,[status(thm)],[])).
% 77.27/49.08 tff(10480,plain,
% 77.27/49.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 77.27/49.08 inference(modus_ponens,[status(thm)],[10479, 10478])).
% 77.27/49.08 tff(10481,plain,
% 77.27/49.08 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10480, 1575, 10412])).
% 77.27/49.08 tff(10482,plain,
% 77.27/49.08 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10481, 10424])).
% 77.27/49.08 tff(10483,plain,
% 77.27/49.08 (v90(constB95, bitIndex2)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10482, 10474])).
% 77.27/49.08 tff(10484,plain,
% 77.27/49.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10485,plain,
% 77.27/49.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 77.27/49.08 inference(quant_inst,[status(thm)],[])).
% 77.27/49.08 tff(10486,plain,
% 77.27/49.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1))),
% 77.27/49.08 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 77.27/49.08 tff(10487,plain,
% 77.27/49.08 (~v130(constB93, bitIndex1)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10486, 1765, 10315])).
% 77.27/49.08 tff(10488,plain,
% 77.27/49.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10489,plain,
% 77.27/49.08 ((v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1))) <=> ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10490,plain,
% 77.27/49.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)))),
% 77.27/49.08 inference(monotonicity,[status(thm)],[10489])).
% 77.27/49.08 tff(10491,plain,
% 77.27/49.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 77.27/49.08 inference(transitivity,[status(thm)],[10490, 10488])).
% 77.27/49.08 tff(10492,plain,
% 77.27/49.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))),
% 77.27/49.08 inference(quant_inst,[status(thm)],[])).
% 77.27/49.08 tff(10493,plain,
% 77.27/49.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)),
% 77.27/49.08 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 77.27/49.08 tff(10494,plain,
% 77.27/49.08 ((~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10493, 714, 10332])).
% 77.27/49.08 tff(10495,plain,
% 77.27/49.08 (~v127(constB93, bitIndex1)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10494, 10487])).
% 77.27/49.08 tff(10496,plain,
% 77.27/49.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10497,plain,
% 77.27/49.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 77.27/49.08 inference(quant_inst,[status(thm)],[])).
% 77.27/49.08 tff(10498,plain,
% 77.27/49.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 77.27/49.08 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 77.27/49.08 tff(10499,plain,
% 77.27/49.08 (v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10498, 732, 10340])).
% 77.27/49.08 tff(10500,plain,
% 77.27/49.08 (~v129(constB94, bitIndex1)),
% 77.27/49.08 inference(unit_resolution,[status(thm)],[10499, 10495])).
% 77.27/49.08 tff(10501,plain,
% 77.27/49.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10502,plain,
% 77.27/49.08 (((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 77.27/49.08 inference(rewrite,[status(thm)],[])).
% 77.27/49.08 tff(10503,plain,
% 77.27/49.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))))),
% 77.27/49.08 inference(monotonicity,[status(thm)],[10502])).
% 77.27/49.08 tff(10504,plain,
% 77.27/49.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 77.27/49.08 inference(transitivity,[status(thm)],[10503, 10501])).
% 77.27/49.09 tff(10505,plain,
% 77.27/49.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))),
% 77.27/49.09 inference(quant_inst,[status(thm)],[])).
% 77.27/49.09 tff(10506,plain,
% 77.27/49.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))),
% 77.27/49.09 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 77.27/49.09 tff(10507,plain,
% 77.27/49.09 ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10506, 747, 10466])).
% 77.27/49.09 tff(10508,plain,
% 77.27/49.09 (~v90(constB94, bitIndex1)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10507, 10500])).
% 77.27/49.09 tff(10509,plain,
% 77.27/49.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 77.27/49.09 inference(rewrite,[status(thm)],[])).
% 77.27/49.09 tff(10510,plain,
% 77.27/49.09 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 77.27/49.09 inference(rewrite,[status(thm)],[])).
% 77.27/49.09 tff(10511,plain,
% 77.27/49.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))))),
% 77.27/49.09 inference(monotonicity,[status(thm)],[10510])).
% 77.27/49.09 tff(10512,plain,
% 77.27/49.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 77.27/49.09 inference(transitivity,[status(thm)],[10511, 10509])).
% 77.27/49.09 tff(10513,plain,
% 77.27/49.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 77.27/49.09 inference(quant_inst,[status(thm)],[])).
% 77.27/49.09 tff(10514,plain,
% 77.27/49.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 77.27/49.09 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 77.27/49.09 tff(10515,plain,
% 77.27/49.09 (v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10514, 360, 10412])).
% 77.27/49.09 tff(10516,plain,
% 77.27/49.09 (v90(constB94, bitIndex1) | (~v90(constB95, bitIndex1))),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10515, 10424])).
% 77.27/49.09 tff(10517,plain,
% 77.27/49.09 (~v90(constB95, bitIndex1)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10516, 10508])).
% 77.27/49.09 tff(10518,assumption,(~v123(constB95)), introduced(assumption)).
% 77.27/49.09 tff(10519,assumption,(~v90(constB95, bitIndex1)), introduced(assumption)).
% 77.27/49.09 tff(10520,assumption,(~v124(constB95)), introduced(assumption)).
% 77.27/49.09 tff(10521,assumption,(v90(constB95, bitIndex2)), introduced(assumption)).
% 77.27/49.09 tff(10522,plain,
% 77.27/49.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 77.27/49.09 inference(rewrite,[status(thm)],[])).
% 77.27/49.09 tff(10523,plain,
% 77.27/49.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 77.27/49.09 inference(quant_inst,[status(thm)],[])).
% 77.27/49.09 tff(10524,plain,
% 77.27/49.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95)),
% 77.27/49.09 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 77.27/49.09 tff(10525,plain,
% 77.27/49.09 ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | v124(constB95)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10524, 1919, 10521])).
% 77.27/49.09 tff(10526,plain,
% 77.27/49.09 (~v90(constB95, bitIndex0)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10525, 10519, 10520])).
% 77.27/49.09 tff(10527,plain,
% 77.27/49.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95))),
% 77.27/49.09 inference(rewrite,[status(thm)],[])).
% 77.27/49.09 tff(10528,plain,
% 77.27/49.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95))),
% 77.27/49.09 inference(quant_inst,[status(thm)],[])).
% 77.27/49.09 tff(10529,plain,
% 77.27/49.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v123(constB95)),
% 77.27/49.09 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 77.27/49.09 tff(10530,plain,
% 77.27/49.09 (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v123(constB95)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10529, 1682, 10521])).
% 77.27/49.09 tff(10531,plain,
% 77.27/49.09 ($false),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10530, 10526, 10519, 10518])).
% 77.27/49.09 tff(10532,plain,(v90(constB95, bitIndex1) | v123(constB95) | (~v90(constB95, bitIndex2)) | v124(constB95)), inference(lemma,lemma(discharge,[]))).
% 77.27/49.09 tff(10533,plain,
% 77.27/49.09 (v124(constB95)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10532, 10517, 10483, 10444])).
% 77.27/49.09 tff(10534,plain,
% 77.27/49.09 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1))),
% 77.27/49.09 inference(rewrite,[status(thm)],[])).
% 77.27/49.09 tff(10535,plain,
% 77.27/49.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))),
% 77.27/49.09 inference(quant_inst,[status(thm)],[])).
% 77.27/49.09 tff(10536,plain,
% 77.27/49.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1)),
% 77.27/49.09 inference(modus_ponens,[status(thm)],[10535, 10534])).
% 77.27/49.09 tff(10537,plain,
% 77.27/49.09 (v130(constB95, bitIndex1)),
% 77.27/49.09 inference(unit_resolution,[status(thm)],[10536, 1936, 10533])).
% 77.27/49.09 tff(10538,assumption,(v26(constB95)), introduced(assumption)).
% 77.27/49.09 tff(10539,plain,
% 77.27/49.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 77.27/49.09 inference(quant_inst,[status(thm)],[])).
% 77.27/49.09 tff(10540,plain,
% 77.27/49.09 ($false),
% 77.29/49.09 inference(unit_resolution,[status(thm)],[10539, 14, 10538])).
% 77.29/49.09 tff(10541,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 77.29/49.09 tff(10542,plain,
% 77.29/49.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 77.29/49.09 inference(rewrite,[status(thm)],[])).
% 77.29/49.09 tff(10543,plain,
% 77.29/49.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 77.29/49.09 inference(quant_inst,[status(thm)],[])).
% 77.29/49.09 tff(10544,plain,
% 77.29/49.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 77.29/49.09 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 77.29/49.09 tff(10545,plain,
% 77.29/49.09 ((~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 77.29/49.09 inference(unit_resolution,[status(thm)],[10544, 1031, 10541])).
% 77.29/49.09 tff(10546,plain,
% 77.29/49.09 (v127(constB95, bitIndex1)),
% 77.29/49.09 inference(unit_resolution,[status(thm)],[10545, 10537])).
% 77.29/49.09 tff(10547,plain,
% 77.29/49.09 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 77.29/49.09 inference(rewrite,[status(thm)],[])).
% 77.29/49.09 tff(10548,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 77.29/49.09 tff(10549,plain,
% 77.29/49.09 (nextState(constB95, constB96)),
% 77.29/49.09 inference(modus_ponens,[status(thm)],[10548, 10547])).
% 77.29/49.09 tff(10550,plain,
% 77.29/49.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 77.29/49.09 inference(rewrite,[status(thm)],[])).
% 77.29/49.09 tff(10551,plain,
% 77.29/49.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 77.29/49.09 inference(quant_inst,[status(thm)],[])).
% 77.29/49.09 tff(10552,plain,
% 77.29/49.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 77.29/49.09 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 77.29/49.09 tff(10553,plain,
% 77.29/49.09 ((~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 77.29/49.09 inference(unit_resolution,[status(thm)],[10552, 1046, 10549])).
% 77.29/49.09 tff(10554,plain,
% 77.29/49.09 (v129(constB96, bitIndex1)),
% 77.29/49.09 inference(unit_resolution,[status(thm)],[10553, 10546])).
% 77.29/49.09 tff(10555,assumption,(v124(constB95)), introduced(assumption)).
% 77.29/49.09 tff(10556,plain,
% 77.29/49.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95)))),
% 77.29/49.09 inference(rewrite,[status(thm)],[])).
% 77.29/49.09 tff(10557,plain,
% 77.29/49.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))),
% 77.29/49.09 inference(quant_inst,[status(thm)],[])).
% 77.29/49.09 tff(10558,plain,
% 77.29/49.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95))),
% 77.29/49.09 inference(modus_ponens,[status(thm)],[10557, 10556])).
% 77.29/49.09 tff(10559,plain,
% 77.29/49.09 (v114(constB95)),
% 77.29/49.09 inference(unit_resolution,[status(thm)],[10558, 1951, 10555])).
% 77.29/49.09 tff(10560,plain,
% 77.29/49.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95)))),
% 77.29/49.09 inference(rewrite,[status(thm)],[])).
% 77.29/49.09 tff(10561,plain,
% 77.29/49.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10562,plain,
% 77.29/49.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10561, 10560])).
% 77.29/49.10 tff(10563,plain,
% 77.29/49.10 (v113(constB95)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10562, 541, 10559])).
% 77.29/49.10 tff(10564,plain,
% 77.29/49.10 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10565,plain,
% 77.29/49.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10566,plain,
% 77.29/49.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 77.29/49.10 tff(10567,plain,
% 77.29/49.10 (~v130(constB95, bitIndex0)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10566, 2112, 10555])).
% 77.29/49.10 tff(10568,plain,
% 77.29/49.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10569,plain,
% 77.29/49.10 ((v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0))) <=> ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10570,plain,
% 77.29/49.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)))),
% 77.29/49.10 inference(monotonicity,[status(thm)],[10569])).
% 77.29/49.10 tff(10571,plain,
% 77.29/49.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 77.29/49.10 inference(transitivity,[status(thm)],[10570, 10568])).
% 77.29/49.10 tff(10572,plain,
% 77.29/49.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10573,plain,
% 77.29/49.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 77.29/49.10 tff(10574,plain,
% 77.29/49.10 ((~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10573, 1112, 10541])).
% 77.29/49.10 tff(10575,plain,
% 77.29/49.10 (~v127(constB95, bitIndex0)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10574, 10567])).
% 77.29/49.10 tff(10576,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10577,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10578,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 77.29/49.10 tff(10579,plain,
% 77.29/49.10 (v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10578, 1130, 10549])).
% 77.29/49.10 tff(10580,plain,
% 77.29/49.10 (~v129(constB96, bitIndex0)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10579, 10575])).
% 77.29/49.10 tff(10581,assumption,(v90(constB96, bitIndex0)), introduced(assumption)).
% 77.29/49.10 tff(10582,plain,
% 77.29/49.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10583,plain,
% 77.29/49.10 (((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10584,plain,
% 77.29/49.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))))),
% 77.29/49.10 inference(monotonicity,[status(thm)],[10583])).
% 77.29/49.10 tff(10585,plain,
% 77.29/49.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 77.29/49.10 inference(transitivity,[status(thm)],[10584, 10582])).
% 77.29/49.10 tff(10586,plain,
% 77.29/49.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10587,plain,
% 77.29/49.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 77.29/49.10 tff(10588,plain,
% 77.29/49.10 (v129(constB96, bitIndex0) | (~v100(constB96))),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10587, 1145, 10581])).
% 77.29/49.10 tff(10589,plain,
% 77.29/49.10 (~v100(constB96)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10588, 10580])).
% 77.29/49.10 tff(10590,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10591,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10592,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10591, 10590])).
% 77.29/49.10 tff(10593,plain,
% 77.29/49.10 (~v104(constB96)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10592, 589, 10549, 10409])).
% 77.29/49.10 tff(10594,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10595,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10596,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10595, 10594])).
% 77.29/49.10 tff(10597,plain,
% 77.29/49.10 (v102(constB96) | v104(constB96)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10596, 603, 10549])).
% 77.29/49.10 tff(10598,plain,
% 77.29/49.10 (v102(constB96)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10597, 10593])).
% 77.29/49.10 tff(10599,plain,
% 77.29/49.10 (v1(constB96) <=> v1(constB96)),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10600,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 77.29/49.10 tff(10601,plain,
% 77.29/49.10 (v1(constB96)),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 77.29/49.10 tff(10602,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10603,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10604,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 77.29/49.10 tff(10605,plain,
% 77.29/49.10 (v101(constB96) | (~v102(constB96))),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10604, 621, 10549, 10601])).
% 77.29/49.10 tff(10606,plain,
% 77.29/49.10 (v101(constB96)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10605, 10598])).
% 77.29/49.10 tff(10607,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10608,plain,
% 77.29/49.10 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10609,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 77.29/49.10 inference(monotonicity,[status(thm)],[10608])).
% 77.29/49.10 tff(10610,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 77.29/49.10 inference(transitivity,[status(thm)],[10609, 10607])).
% 77.29/49.10 tff(10611,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10612,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 77.29/49.10 tff(10613,plain,
% 77.29/49.10 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10612, 636, 10549])).
% 77.29/49.10 tff(10614,plain,
% 77.29/49.10 (v100(constB96) | (~v110(constB96))),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10613, 10606])).
% 77.29/49.10 tff(10615,plain,
% 77.29/49.10 (~v110(constB96)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10614, 10589])).
% 77.29/49.10 tff(10616,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10617,plain,
% 77.29/49.10 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10618,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 77.29/49.10 inference(monotonicity,[status(thm)],[10617])).
% 77.29/49.10 tff(10619,plain,
% 77.29/49.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 77.29/49.10 inference(transitivity,[status(thm)],[10618, 10616])).
% 77.29/49.10 tff(10620,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10621,plain,
% 77.29/49.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 77.29/49.10 inference(modus_ponens,[status(thm)],[10620, 10619])).
% 77.29/49.10 tff(10622,plain,
% 77.29/49.10 (v110(constB96) | (~v108(constB95))),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10621, 571, 10549])).
% 77.29/49.10 tff(10623,plain,
% 77.29/49.10 (~v108(constB95)),
% 77.29/49.10 inference(unit_resolution,[status(thm)],[10622, 10615])).
% 77.29/49.10 tff(10624,plain,
% 77.29/49.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95)))),
% 77.29/49.10 inference(rewrite,[status(thm)],[])).
% 77.29/49.10 tff(10625,plain,
% 77.29/49.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))),
% 77.29/49.10 inference(quant_inst,[status(thm)],[])).
% 77.29/49.10 tff(10626,plain,
% 77.29/49.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95))),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 77.29/49.11 tff(10627,plain,
% 77.29/49.11 (~v112(constB95)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10626, 464, 10623])).
% 77.29/49.11 tff(10628,plain,
% 77.29/49.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10629,plain,
% 77.29/49.11 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10630,plain,
% 77.29/49.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 77.29/49.11 inference(monotonicity,[status(thm)],[10629])).
% 77.29/49.11 tff(10631,plain,
% 77.29/49.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 77.29/49.11 inference(transitivity,[status(thm)],[10630, 10628])).
% 77.29/49.11 tff(10632,plain,
% 77.29/49.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 77.29/49.11 inference(quant_inst,[status(thm)],[])).
% 77.29/49.11 tff(10633,plain,
% 77.29/49.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 77.29/49.11 tff(10634,plain,
% 77.29/49.11 (v112(constB95) | (~v113(constB95))),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10633, 555, 10541])).
% 77.29/49.11 tff(10635,plain,
% 77.29/49.11 ($false),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10634, 10627, 10563])).
% 77.29/49.11 tff(10636,plain,((~v124(constB95)) | (~v90(constB96, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.29/49.11 tff(10637,plain,
% 77.29/49.11 (~v90(constB96, bitIndex0)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10636, 10533])).
% 77.29/49.11 tff(10638,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10639,plain,
% 77.29/49.11 (((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0)) <=> ((~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10640,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0)))),
% 77.29/49.11 inference(monotonicity,[status(thm)],[10639])).
% 77.29/49.11 tff(10641,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0))),
% 77.29/49.11 inference(transitivity,[status(thm)],[10640, 10638])).
% 77.29/49.11 tff(10642,plain,
% 77.29/49.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0))),
% 77.29/49.11 inference(quant_inst,[status(thm)],[])).
% 77.29/49.11 tff(10643,plain,
% 77.29/49.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB95, bitIndex0)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, bitIndex0)),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 77.29/49.11 tff(10644,plain,
% 77.29/49.11 ((~v90(constB95, bitIndex0)) | v100(constB96) | v90(constB96, bitIndex0)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10643, 836, 10549])).
% 77.29/49.11 tff(10645,plain,
% 77.29/49.11 (v100(constB96)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10644, 10637, 10433])).
% 77.29/49.11 tff(10646,plain,
% 77.29/49.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10647,plain,
% 77.29/49.11 ((v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10648,plain,
% 77.29/49.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))))),
% 77.29/49.11 inference(monotonicity,[status(thm)],[10647])).
% 77.29/49.11 tff(10649,plain,
% 77.29/49.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 77.29/49.11 inference(transitivity,[status(thm)],[10648, 10646])).
% 77.29/49.11 tff(10650,plain,
% 77.29/49.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))),
% 77.29/49.11 inference(quant_inst,[status(thm)],[])).
% 77.29/49.11 tff(10651,plain,
% 77.29/49.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 77.29/49.11 tff(10652,plain,
% 77.29/49.11 (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1))),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10651, 1061, 10645])).
% 77.29/49.11 tff(10653,plain,
% 77.29/49.11 (v90(constB96, bitIndex1)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10652, 10554])).
% 77.29/49.11 tff(10654,plain,
% 77.29/49.11 ((~v1(constB97)) <=> (~v1(constB97))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10655,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 77.29/49.11 tff(10656,plain,
% 77.29/49.11 (~v1(constB97)),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 77.29/49.11 tff(10657,plain,
% 77.29/49.11 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10658,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 77.29/49.11 tff(10659,plain,
% 77.29/49.11 (nextState(constB96, constB97)),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 77.29/49.11 tff(10660,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10661,plain,
% 77.29/49.11 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10662,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 77.29/49.11 inference(monotonicity,[status(thm)],[10661])).
% 77.29/49.11 tff(10663,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 77.29/49.11 inference(transitivity,[status(thm)],[10662, 10660])).
% 77.29/49.11 tff(10664,plain,
% 77.29/49.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 77.29/49.11 inference(quant_inst,[status(thm)],[])).
% 77.29/49.11 tff(10665,plain,
% 77.29/49.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 77.29/49.11 tff(10666,plain,
% 77.29/49.11 (~v101(constB97)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10665, 307, 10659, 10656])).
% 77.29/49.11 tff(10667,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10668,plain,
% 77.29/49.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 77.29/49.11 inference(quant_inst,[status(thm)],[])).
% 77.29/49.11 tff(10669,plain,
% 77.29/49.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 77.29/49.11 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 77.29/49.11 tff(10670,plain,
% 77.29/49.11 (v101(constB97) | (~v100(constB97))),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10669, 324, 10659])).
% 77.29/49.11 tff(10671,plain,
% 77.29/49.11 (~v100(constB97)),
% 77.29/49.11 inference(unit_resolution,[status(thm)],[10670, 10666])).
% 77.29/49.11 tff(10672,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10673,plain,
% 77.29/49.11 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 77.29/49.11 inference(rewrite,[status(thm)],[])).
% 77.29/49.11 tff(10674,plain,
% 77.29/49.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)))),
% 77.29/49.12 inference(monotonicity,[status(thm)],[10673])).
% 77.29/49.12 tff(10675,plain,
% 77.29/49.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 77.29/49.12 inference(transitivity,[status(thm)],[10674, 10672])).
% 77.29/49.12 tff(10676,plain,
% 77.29/49.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10677,plain,
% 77.29/49.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 77.29/49.12 tff(10678,plain,
% 77.29/49.12 ((~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10677, 1079, 10659])).
% 77.29/49.12 tff(10679,plain,
% 77.29/49.12 ((~v90(constB96, bitIndex1)) | v90(constB97, bitIndex1)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10678, 10671])).
% 77.29/49.12 tff(10680,plain,
% 77.29/49.12 (v90(constB97, bitIndex1)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10679, 10653])).
% 77.29/49.12 tff(10681,plain,
% 77.29/49.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 77.29/49.12 inference(bind,[status(th)],[])).
% 77.29/49.12 tff(10682,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(quant_intro,[status(thm)],[10681])).
% 77.29/49.12 tff(10683,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10684,plain,
% 77.29/49.12 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 77.29/49.12 inference(bind,[status(th)],[])).
% 77.29/49.12 tff(10685,plain,
% 77.29/49.12 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(quant_intro,[status(thm)],[10684])).
% 77.29/49.12 tff(10686,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 77.29/49.12 tff(10687,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 77.29/49.12 tff(10688,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10687, 10683])).
% 77.29/49.12 tff(10689,plain,(
% 77.29/49.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(skolemize,[status(sab)],[10688])).
% 77.29/49.12 tff(10690,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10689, 10682])).
% 77.29/49.12 tff(10691,plain,
% 77.29/49.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10692,plain,
% 77.29/49.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10693,plain,
% 77.29/49.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10692, 10691])).
% 77.29/49.12 tff(10694,plain,
% 77.29/49.12 (v88(constB97, bitIndex1)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10693, 10690, 10680])).
% 77.29/49.12 tff(10695,plain,
% 77.29/49.12 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10696,plain,
% 77.29/49.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10697,plain,
% 77.29/49.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 77.29/49.12 tff(10698,plain,
% 77.29/49.12 (v130(constB95, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10697, 2050, 10533])).
% 77.29/49.12 tff(10699,plain,
% 77.29/49.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10700,plain,
% 77.29/49.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10701,plain,
% 77.29/49.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 77.29/49.12 tff(10702,plain,
% 77.29/49.12 ((~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10701, 1431, 10541])).
% 77.29/49.12 tff(10703,plain,
% 77.29/49.12 (v127(constB95, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10702, 10698])).
% 77.29/49.12 tff(10704,plain,
% 77.29/49.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10705,plain,
% 77.29/49.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10706,plain,
% 77.29/49.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10705, 10704])).
% 77.29/49.12 tff(10707,plain,
% 77.29/49.12 ((~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10706, 1449, 10549])).
% 77.29/49.12 tff(10708,plain,
% 77.29/49.12 (v129(constB96, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10707, 10703])).
% 77.29/49.12 tff(10709,plain,
% 77.29/49.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10710,plain,
% 77.29/49.12 ((v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10711,plain,
% 77.29/49.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))))),
% 77.29/49.12 inference(monotonicity,[status(thm)],[10710])).
% 77.29/49.12 tff(10712,plain,
% 77.29/49.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 77.29/49.12 inference(transitivity,[status(thm)],[10711, 10709])).
% 77.29/49.12 tff(10713,plain,
% 77.29/49.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10714,plain,
% 77.29/49.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 77.29/49.12 tff(10715,plain,
% 77.29/49.12 (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2))),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10714, 1539, 10645])).
% 77.29/49.12 tff(10716,plain,
% 77.29/49.12 (v90(constB96, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10715, 10708])).
% 77.29/49.12 tff(10717,plain,
% 77.29/49.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10718,plain,
% 77.29/49.12 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10719,plain,
% 77.29/49.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)))),
% 77.29/49.12 inference(monotonicity,[status(thm)],[10718])).
% 77.29/49.12 tff(10720,plain,
% 77.29/49.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 77.29/49.12 inference(transitivity,[status(thm)],[10719, 10717])).
% 77.29/49.12 tff(10721,plain,
% 77.29/49.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10722,plain,
% 77.29/49.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 77.29/49.12 tff(10723,plain,
% 77.29/49.12 ((~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10722, 1575, 10659])).
% 77.29/49.12 tff(10724,plain,
% 77.29/49.12 ((~v90(constB96, bitIndex2)) | v90(constB97, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10723, 10671])).
% 77.29/49.12 tff(10725,plain,
% 77.29/49.12 (v90(constB97, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10724, 10716])).
% 77.29/49.12 tff(10726,plain,
% 77.29/49.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 77.29/49.12 inference(bind,[status(th)],[])).
% 77.29/49.12 tff(10727,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(quant_intro,[status(thm)],[10726])).
% 77.29/49.12 tff(10728,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10729,plain,
% 77.29/49.12 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 77.29/49.12 inference(bind,[status(th)],[])).
% 77.29/49.12 tff(10730,plain,
% 77.29/49.12 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(quant_intro,[status(thm)],[10729])).
% 77.29/49.12 tff(10731,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 77.29/49.12 tff(10732,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10731, 10730])).
% 77.29/49.12 tff(10733,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10732, 10728])).
% 77.29/49.12 tff(10734,plain,(
% 77.29/49.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(skolemize,[status(sab)],[10733])).
% 77.29/49.12 tff(10735,plain,
% 77.29/49.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10734, 10727])).
% 77.29/49.12 tff(10736,plain,
% 77.29/49.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 77.29/49.12 inference(rewrite,[status(thm)],[])).
% 77.29/49.12 tff(10737,plain,
% 77.29/49.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 77.29/49.12 inference(quant_inst,[status(thm)],[])).
% 77.29/49.12 tff(10738,plain,
% 77.29/49.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2)),
% 77.29/49.12 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 77.29/49.12 tff(10739,plain,
% 77.29/49.12 (v88(constB97, bitIndex2)),
% 77.29/49.12 inference(unit_resolution,[status(thm)],[10738, 10735, 10725])).
% 77.29/49.12 tff(10740,plain,
% 77.29/49.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10741,plain,
% 77.33/49.13 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10742,plain,
% 77.33/49.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))))),
% 77.33/49.13 inference(monotonicity,[status(thm)],[10741])).
% 77.33/49.13 tff(10743,plain,
% 77.33/49.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 77.33/49.13 inference(transitivity,[status(thm)],[10742, 10740])).
% 77.33/49.13 tff(10744,plain,
% 77.33/49.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 77.33/49.13 inference(quant_inst,[status(thm)],[])).
% 77.33/49.13 tff(10745,plain,
% 77.33/49.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 77.33/49.13 tff(10746,plain,
% 77.33/49.13 (v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10745, 381, 10659])).
% 77.33/49.13 tff(10747,plain,
% 77.33/49.13 (v90(constB96, bitIndex0) | (~v90(constB97, bitIndex0))),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10746, 10671])).
% 77.33/49.13 tff(10748,plain,
% 77.33/49.13 (~v90(constB97, bitIndex0)),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10747, 10637])).
% 77.33/49.13 tff(10749,plain,
% 77.33/49.13 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))))),
% 77.33/49.13 inference(bind,[status(th)],[])).
% 77.33/49.13 tff(10750,plain,
% 77.33/49.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 77.33/49.13 inference(quant_intro,[status(thm)],[10749])).
% 77.33/49.13 tff(10751,plain,
% 77.33/49.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10752,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 77.33/49.13 tff(10753,plain,
% 77.33/49.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 77.33/49.13 tff(10754,plain,(
% 77.33/49.13 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 77.33/49.13 inference(skolemize,[status(sab)],[10753])).
% 77.33/49.13 tff(10755,plain,
% 77.33/49.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10754, 10750])).
% 77.33/49.13 tff(10756,plain,
% 77.33/49.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10757,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))),
% 77.33/49.13 inference(quant_inst,[status(thm)],[])).
% 77.33/49.13 tff(10758,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 77.33/49.13 tff(10759,plain,
% 77.33/49.13 (~v88(constB97, bitIndex0)),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10758, 10755, 10748])).
% 77.33/49.13 tff(10760,plain,
% 77.33/49.13 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 77.33/49.13 inference(bind,[status(th)],[])).
% 77.33/49.13 tff(10761,plain,
% 77.33/49.13 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(quant_intro,[status(thm)],[10760])).
% 77.33/49.13 tff(10762,plain,
% 77.33/49.13 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10763,plain,
% 77.33/49.13 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 77.33/49.13 inference(bind,[status(th)],[])).
% 77.33/49.13 tff(10764,plain,
% 77.33/49.13 (![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(quant_intro,[status(thm)],[10763])).
% 77.33/49.13 tff(10765,axiom,(![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 77.33/49.13 tff(10766,plain,
% 77.33/49.13 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 77.33/49.13 tff(10767,plain,
% 77.33/49.13 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10766, 10762])).
% 77.33/49.13 tff(10768,plain,(
% 77.33/49.13 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(skolemize,[status(sab)],[10767])).
% 77.33/49.13 tff(10769,plain,
% 77.33/49.13 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10768, 10761])).
% 77.33/49.13 tff(10770,plain,
% 77.33/49.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10771,plain,
% 77.33/49.13 (((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97)) <=> ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10772,plain,
% 77.33/49.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)))),
% 77.33/49.13 inference(monotonicity,[status(thm)],[10771])).
% 77.33/49.13 tff(10773,plain,
% 77.33/49.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 77.33/49.13 inference(transitivity,[status(thm)],[10772, 10770])).
% 77.33/49.13 tff(10774,plain,
% 77.33/49.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))),
% 77.33/49.13 inference(quant_inst,[status(thm)],[])).
% 77.33/49.13 tff(10775,plain,
% 77.33/49.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10774, 10773])).
% 77.33/49.13 tff(10776,plain,
% 77.33/49.13 ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1))),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10775, 10769, 10759])).
% 77.33/49.13 tff(10777,plain,
% 77.33/49.13 (v144(constB97)),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10776, 10739, 10694])).
% 77.33/49.13 tff(10778,plain,
% 77.33/49.13 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v144(VarCurr))) <=> (v142(VarCurr) | (~v144(VarCurr))))),
% 77.33/49.13 inference(bind,[status(th)],[])).
% 77.33/49.13 tff(10779,plain,
% 77.33/49.13 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 77.33/49.13 inference(quant_intro,[status(thm)],[10778])).
% 77.33/49.13 tff(10780,plain,
% 77.33/49.13 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10781,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 77.33/49.13 tff(10782,plain,
% 77.33/49.13 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10781, 10780])).
% 77.33/49.13 tff(10783,plain,(
% 77.33/49.13 ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 77.33/49.13 inference(skolemize,[status(sab)],[10782])).
% 77.33/49.13 tff(10784,plain,
% 77.33/49.13 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10783, 10779])).
% 77.33/49.13 tff(10785,plain,
% 77.33/49.13 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB97) | (~v144(constB97)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB97) | (~v144(constB97)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10786,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB97) | (~v144(constB97)))),
% 77.33/49.13 inference(quant_inst,[status(thm)],[])).
% 77.33/49.13 tff(10787,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB97) | (~v144(constB97))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 77.33/49.13 tff(10788,plain,
% 77.33/49.13 (v142(constB97)),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10787, 10784, 10777])).
% 77.33/49.13 tff(10789,plain,
% 77.33/49.13 (^[VarCurr: $i] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 77.33/49.13 inference(bind,[status(th)],[])).
% 77.33/49.13 tff(10790,plain,
% 77.33/49.13 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(quant_intro,[status(thm)],[10789])).
% 77.33/49.13 tff(10791,plain,
% 77.33/49.13 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10792,axiom,(![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 77.33/49.13 tff(10793,plain,
% 77.33/49.13 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 77.33/49.13 tff(10794,plain,(
% 77.33/49.13 ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(skolemize,[status(sab)],[10793])).
% 77.33/49.13 tff(10795,plain,
% 77.33/49.13 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10794, 10790])).
% 77.33/49.13 tff(10796,plain,
% 77.33/49.13 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10797,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))),
% 77.33/49.13 inference(quant_inst,[status(thm)],[])).
% 77.33/49.13 tff(10798,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10797, 10796])).
% 77.33/49.13 tff(10799,plain,
% 77.33/49.13 (v148(constB97)),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10798, 10795, 10788])).
% 77.33/49.13 tff(10800,plain,
% 77.33/49.13 (^[VarCurr: $i] : refl((v227(VarCurr) | (~v142(VarCurr))) <=> (v227(VarCurr) | (~v142(VarCurr))))),
% 77.33/49.13 inference(bind,[status(th)],[])).
% 77.33/49.13 tff(10801,plain,
% 77.33/49.13 (![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(quant_intro,[status(thm)],[10800])).
% 77.33/49.13 tff(10802,plain,
% 77.33/49.13 (![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10803,axiom,(![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_1_2')).
% 77.33/49.13 tff(10804,plain,
% 77.33/49.13 (![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 77.33/49.13 tff(10805,plain,(
% 77.33/49.13 ![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(skolemize,[status(sab)],[10804])).
% 77.33/49.13 tff(10806,plain,
% 77.33/49.13 (![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10805, 10801])).
% 77.33/49.13 tff(10807,plain,
% 77.33/49.13 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB97) | (~v142(constB97)))),
% 77.33/49.13 inference(rewrite,[status(thm)],[])).
% 77.33/49.13 tff(10808,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB97) | (~v142(constB97)))),
% 77.33/49.13 inference(quant_inst,[status(thm)],[])).
% 77.33/49.13 tff(10809,plain,
% 77.33/49.13 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB97) | (~v142(constB97))),
% 77.33/49.13 inference(modus_ponens,[status(thm)],[10808, 10807])).
% 77.33/49.13 tff(10810,plain,
% 77.33/49.13 (v227(constB97)),
% 77.33/49.13 inference(unit_resolution,[status(thm)],[10809, 10806, 10788])).
% 77.33/49.14 tff(10811,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl((v226(VarCurr) | (~v227(VarCurr))) <=> (v226(VarCurr) | (~v227(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10812,plain,
% 77.33/49.14 (![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10811])).
% 77.33/49.14 tff(10813,plain,
% 77.33/49.14 (![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10814,axiom,(![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_1_1')).
% 77.33/49.14 tff(10815,plain,
% 77.33/49.14 (![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 77.33/49.14 tff(10816,plain,(
% 77.33/49.14 ![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10815])).
% 77.33/49.14 tff(10817,plain,
% 77.33/49.14 (![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10816, 10812])).
% 77.33/49.14 tff(10818,plain,
% 77.33/49.14 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB97) | (~v227(constB97)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB97) | (~v227(constB97)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10819,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB97) | (~v227(constB97)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10820,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB97) | (~v227(constB97))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 77.33/49.14 tff(10821,plain,
% 77.33/49.14 (v226(constB97)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10820, 10817, 10810])).
% 77.33/49.14 tff(10822,plain,
% 77.33/49.14 (^[VarNext: $i] : refl(((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext)) <=> ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext)))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10823,plain,
% 77.33/49.14 (![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext)) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10822])).
% 77.33/49.14 tff(10824,plain,
% 77.33/49.14 (![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext)) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10825,plain,
% 77.33/49.14 (^[VarNext: $i] : rewrite(((v86(VarNext) | (~v148(VarNext))) | (~v226(VarNext))) <=> ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext)))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10826,plain,
% 77.33/49.14 (![VarNext: $i] : ((v86(VarNext) | (~v148(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10825])).
% 77.33/49.14 tff(10827,axiom,(![VarNext: $i] : ((v86(VarNext) | (~v148(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 77.33/49.14 tff(10828,plain,
% 77.33/49.14 (![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10827, 10826])).
% 77.33/49.14 tff(10829,plain,
% 77.33/49.14 (![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10828, 10824])).
% 77.33/49.14 tff(10830,plain,(
% 77.33/49.14 ![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10829])).
% 77.33/49.14 tff(10831,plain,
% 77.33/49.14 (![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10830, 10823])).
% 77.33/49.14 tff(10832,plain,
% 77.33/49.14 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB97) | (~v148(constB97)) | (~v226(constB97)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB97) | (~v148(constB97)) | (~v226(constB97)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10833,plain,
% 77.33/49.14 (((~v148(constB97)) | (~v226(constB97)) | v86(constB97)) <=> (v86(constB97) | (~v148(constB97)) | (~v226(constB97)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10834,plain,
% 77.33/49.14 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB97)) | (~v226(constB97)) | v86(constB97))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB97) | (~v148(constB97)) | (~v226(constB97))))),
% 77.33/49.14 inference(monotonicity,[status(thm)],[10833])).
% 77.33/49.14 tff(10835,plain,
% 77.33/49.14 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB97)) | (~v226(constB97)) | v86(constB97))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB97) | (~v148(constB97)) | (~v226(constB97)))),
% 77.33/49.14 inference(transitivity,[status(thm)],[10834, 10832])).
% 77.33/49.14 tff(10836,plain,
% 77.33/49.14 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB97)) | (~v226(constB97)) | v86(constB97))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10837,plain,
% 77.33/49.14 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB97) | (~v148(constB97)) | (~v226(constB97))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 77.33/49.14 tff(10838,plain,
% 77.33/49.14 (v86(constB97)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10837, 10831, 10821, 10799])).
% 77.33/49.14 tff(10839,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl(((~v86(VarCurr)) | (~v295(VarCurr))) <=> ((~v86(VarCurr)) | (~v295(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10840,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr))) <=> ![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10839])).
% 77.33/49.14 tff(10841,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr))) <=> ![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10842,axiom,(![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_81_1_1_1_2')).
% 77.33/49.14 tff(10843,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 77.33/49.14 tff(10844,plain,(
% 77.33/49.14 ![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10843])).
% 77.33/49.14 tff(10845,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10844, 10840])).
% 77.33/49.14 tff(10846,plain,
% 77.33/49.14 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB97)) | (~v295(constB97)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB97)) | (~v295(constB97)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10847,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB97)) | (~v295(constB97)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10848,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB97)) | (~v295(constB97))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10847, 10846])).
% 77.33/49.14 tff(10849,plain,
% 77.33/49.14 (~v295(constB97)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10848, 10845, 10838])).
% 77.33/49.14 tff(10850,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl((v295(VarCurr) | (~v294(VarCurr))) <=> (v295(VarCurr) | (~v294(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10851,plain,
% 77.33/49.14 (![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr))) <=> ![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10850])).
% 77.33/49.14 tff(10852,plain,
% 77.33/49.14 (![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr))) <=> ![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10853,axiom,(![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_82_1_1_1_1')).
% 77.33/49.14 tff(10854,plain,
% 77.33/49.14 (![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10853, 10852])).
% 77.33/49.14 tff(10855,plain,(
% 77.33/49.14 ![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10854])).
% 77.33/49.14 tff(10856,plain,
% 77.33/49.14 (![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10855, 10851])).
% 77.33/49.14 tff(10857,plain,
% 77.33/49.14 (((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB97) | (~v294(constB97)))) <=> ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB97) | (~v294(constB97)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10858,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB97) | (~v294(constB97)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10859,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB97) | (~v294(constB97))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10858, 10857])).
% 77.33/49.14 tff(10860,plain,
% 77.33/49.14 (~v294(constB97)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10859, 10856, 10849])).
% 77.33/49.14 tff(10861,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl((v294(VarCurr) | (~v307(VarCurr))) <=> (v294(VarCurr) | (~v307(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10862,plain,
% 77.33/49.14 (![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10861])).
% 77.33/49.14 tff(10863,plain,
% 77.33/49.14 (![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10864,axiom,(![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_92_1_1_1_1')).
% 77.33/49.14 tff(10865,plain,
% 77.33/49.14 (![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 77.33/49.14 tff(10866,plain,(
% 77.33/49.14 ![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10865])).
% 77.33/49.14 tff(10867,plain,
% 77.33/49.14 (![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10866, 10862])).
% 77.33/49.14 tff(10868,plain,
% 77.33/49.14 (((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB97) | (~v307(constB97)))) <=> ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB97) | (~v307(constB97)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10869,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB97) | (~v307(constB97)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10870,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB97) | (~v307(constB97))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10869, 10868])).
% 77.33/49.14 tff(10871,plain,
% 77.33/49.14 (~v307(constB97)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10870, 10867, 10860])).
% 77.33/49.14 tff(10872,plain,
% 77.33/49.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10873,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10874,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2)),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10873, 10872])).
% 77.33/49.14 tff(10875,plain,
% 77.33/49.14 (v88(constB93, bitIndex2)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10874, 10735, 10227])).
% 77.33/49.14 tff(10876,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10877,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10876])).
% 77.33/49.14 tff(10878,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10879,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 77.33/49.14 tff(10880,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 77.33/49.14 tff(10881,plain,(
% 77.33/49.14 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10880])).
% 77.33/49.14 tff(10882,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10881, 10877])).
% 77.33/49.14 tff(10883,plain,
% 77.33/49.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v139(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v139(constB93)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10884,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v139(constB93)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10885,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v139(constB93))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 77.33/49.14 tff(10886,plain,
% 77.33/49.14 (~v139(constB93)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10885, 10882, 10875])).
% 77.33/49.14 tff(10887,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10888,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10887])).
% 77.33/49.14 tff(10889,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10890,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 77.33/49.14 tff(10891,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10890, 10889])).
% 77.33/49.14 tff(10892,plain,(
% 77.33/49.14 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10891])).
% 77.33/49.14 tff(10893,plain,
% 77.33/49.14 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10892, 10888])).
% 77.33/49.14 tff(10894,plain,
% 77.33/49.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v140(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v140(constB93)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10895,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v140(constB93)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.14 tff(10896,plain,
% 77.33/49.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v140(constB93))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 77.33/49.14 tff(10897,plain,
% 77.33/49.14 (~v140(constB93)),
% 77.33/49.14 inference(unit_resolution,[status(thm)],[10896, 10893, 10875])).
% 77.33/49.14 tff(10898,plain,
% 77.33/49.14 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10899,plain,
% 77.33/49.14 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10898])).
% 77.33/49.14 tff(10900,plain,
% 77.33/49.14 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10901,plain,
% 77.33/49.14 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v168(VarCurr)) | v140(VarCurr)) <=> (v140(VarCurr) | (~v168(VarCurr)))), ((((~v168(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> ((v140(VarCurr) | (~v168(VarCurr))) | v139(VarCurr)))), rewrite(((v140(VarCurr) | (~v168(VarCurr))) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))), ((((~v168(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))))),
% 77.33/49.14 inference(bind,[status(th)],[])).
% 77.33/49.14 tff(10902,plain,
% 77.33/49.14 (![VarCurr: $i] : (((~v168(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(quant_intro,[status(thm)],[10901])).
% 77.33/49.14 tff(10903,axiom,(![VarCurr: $i] : (((~v168(VarCurr)) | v140(VarCurr)) | v139(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1')).
% 77.33/49.14 tff(10904,plain,
% 77.33/49.14 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10903, 10902])).
% 77.33/49.14 tff(10905,plain,
% 77.33/49.14 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10904, 10900])).
% 77.33/49.14 tff(10906,plain,(
% 77.33/49.14 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(skolemize,[status(sab)],[10905])).
% 77.33/49.14 tff(10907,plain,
% 77.33/49.14 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 77.33/49.14 inference(modus_ponens,[status(thm)],[10906, 10899])).
% 77.33/49.14 tff(10908,plain,
% 77.33/49.14 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v168(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB93) | v139(constB93) | (~v168(constB93)))),
% 77.33/49.14 inference(rewrite,[status(thm)],[])).
% 77.33/49.14 tff(10909,plain,
% 77.33/49.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v168(constB93)))),
% 77.33/49.14 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10910,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB93) | v139(constB93) | (~v168(constB93))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 77.33/49.15 tff(10911,plain,
% 77.33/49.15 (~v168(constB93)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10910, 10907, 10897, 10886])).
% 77.33/49.15 tff(10912,plain,
% 77.33/49.15 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10913,plain,
% 77.33/49.15 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10912])).
% 77.33/49.15 tff(10914,plain,
% 77.33/49.15 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10915,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 77.33/49.15 tff(10916,plain,
% 77.33/49.15 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 77.33/49.15 tff(10917,plain,(
% 77.33/49.15 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 77.33/49.15 inference(skolemize,[status(sab)],[10916])).
% 77.33/49.15 tff(10918,plain,
% 77.33/49.15 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10917, 10913])).
% 77.33/49.15 tff(10919,plain,
% 77.33/49.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10920,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1)))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10921,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 77.33/49.15 tff(10922,plain,
% 77.33/49.15 (~v88(constB93, bitIndex1)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10921, 10918, 10269])).
% 77.33/49.15 tff(10923,plain,
% 77.33/49.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10924,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0)))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10925,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 77.33/49.15 tff(10926,plain,
% 77.33/49.15 (~v88(constB93, bitIndex0)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10925, 10755, 10311])).
% 77.33/49.15 tff(10927,plain,
% 77.33/49.15 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10928,plain,
% 77.33/49.15 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10927])).
% 77.33/49.15 tff(10929,plain,
% 77.33/49.15 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10930,plain,
% 77.33/49.15 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr))), ((((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))), ((((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10931,plain,
% 77.33/49.15 (![VarCurr: $i] : (((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10930])).
% 77.33/49.15 tff(10932,axiom,(![VarCurr: $i] : (((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 77.33/49.15 tff(10933,plain,
% 77.33/49.15 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 77.33/49.15 tff(10934,plain,
% 77.33/49.15 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10933, 10929])).
% 77.33/49.15 tff(10935,plain,(
% 77.33/49.15 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(skolemize,[status(sab)],[10934])).
% 77.33/49.15 tff(10936,plain,
% 77.33/49.15 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10935, 10928])).
% 77.33/49.15 tff(10937,plain,
% 77.33/49.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10938,plain,
% 77.33/49.15 (((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93)) <=> (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10939,plain,
% 77.33/49.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93)))),
% 77.33/49.15 inference(monotonicity,[status(thm)],[10938])).
% 77.33/49.15 tff(10940,plain,
% 77.33/49.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))),
% 77.33/49.15 inference(transitivity,[status(thm)],[10939, 10937])).
% 77.33/49.15 tff(10941,plain,
% 77.33/49.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10942,plain,
% 77.33/49.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93)),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10941, 10940])).
% 77.33/49.15 tff(10943,plain,
% 77.33/49.15 (v146(constB93)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10942, 10936, 10875, 10926, 10922])).
% 77.33/49.15 tff(10944,plain,
% 77.33/49.15 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v146(VarCurr))) <=> (v145(VarCurr) | (~v146(VarCurr))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10945,plain,
% 77.33/49.15 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10944])).
% 77.33/49.15 tff(10946,plain,
% 77.33/49.15 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10947,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 77.33/49.15 tff(10948,plain,
% 77.33/49.15 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 77.33/49.15 tff(10949,plain,(
% 77.33/49.15 ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 77.33/49.15 inference(skolemize,[status(sab)],[10948])).
% 77.33/49.15 tff(10950,plain,
% 77.33/49.15 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10949, 10945])).
% 77.33/49.15 tff(10951,plain,
% 77.33/49.15 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB93) | (~v146(constB93)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB93) | (~v146(constB93)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10952,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB93) | (~v146(constB93)))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10953,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB93) | (~v146(constB93))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10952, 10951])).
% 77.33/49.15 tff(10954,plain,
% 77.33/49.15 (v145(constB93)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10953, 10950, 10943])).
% 77.33/49.15 tff(10955,plain,
% 77.33/49.15 (^[VarCurr: $i] : refl((v226(VarCurr) | (~v145(VarCurr))) <=> (v226(VarCurr) | (~v145(VarCurr))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10956,plain,
% 77.33/49.15 (![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10955])).
% 77.33/49.15 tff(10957,plain,
% 77.33/49.15 (![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10958,axiom,(![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_1_2')).
% 77.33/49.15 tff(10959,plain,
% 77.33/49.15 (![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 77.33/49.15 tff(10960,plain,(
% 77.33/49.15 ![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))),
% 77.33/49.15 inference(skolemize,[status(sab)],[10959])).
% 77.33/49.15 tff(10961,plain,
% 77.33/49.15 (![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10960, 10956])).
% 77.33/49.15 tff(10962,plain,
% 77.33/49.15 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB93) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB93) | (~v145(constB93)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10963,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB93) | (~v145(constB93)))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10964,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB93) | (~v145(constB93))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 77.33/49.15 tff(10965,plain,
% 77.33/49.15 (v226(constB93)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10964, 10961, 10954])).
% 77.33/49.15 tff(10966,plain,
% 77.33/49.15 (^[VarNext: $i] : refl((v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext))) <=> (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10967,plain,
% 77.33/49.15 (![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext))) <=> ![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10966])).
% 77.33/49.15 tff(10968,plain,
% 77.33/49.15 (![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext))) <=> ![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10969,plain,
% 77.33/49.15 (^[VarNext: $i] : rewrite(((v168(VarNext) | (~v161(VarNext))) | (~v226(VarNext))) <=> (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10970,plain,
% 77.33/49.15 (![VarNext: $i] : ((v168(VarNext) | (~v161(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10969])).
% 77.33/49.15 tff(10971,axiom,(![VarNext: $i] : ((v168(VarNext) | (~v161(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_2')).
% 77.33/49.15 tff(10972,plain,
% 77.33/49.15 (![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 77.33/49.15 tff(10973,plain,
% 77.33/49.15 (![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10972, 10968])).
% 77.33/49.15 tff(10974,plain,(
% 77.33/49.15 ![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(skolemize,[status(sab)],[10973])).
% 77.33/49.15 tff(10975,plain,
% 77.33/49.15 (![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10974, 10967])).
% 77.33/49.15 tff(10976,plain,
% 77.33/49.15 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB93)) | v168(constB93) | (~v226(constB93)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB93)) | v168(constB93) | (~v226(constB93)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10977,plain,
% 77.33/49.15 ((v168(constB93) | (~v226(constB93)) | (~v161(constB93))) <=> ((~v161(constB93)) | v168(constB93) | (~v226(constB93)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10978,plain,
% 77.33/49.15 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB93) | (~v226(constB93)) | (~v161(constB93)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB93)) | v168(constB93) | (~v226(constB93))))),
% 77.33/49.15 inference(monotonicity,[status(thm)],[10977])).
% 77.33/49.15 tff(10979,plain,
% 77.33/49.15 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB93) | (~v226(constB93)) | (~v161(constB93)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB93)) | v168(constB93) | (~v226(constB93)))),
% 77.33/49.15 inference(transitivity,[status(thm)],[10978, 10976])).
% 77.33/49.15 tff(10980,plain,
% 77.33/49.15 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB93) | (~v226(constB93)) | (~v161(constB93)))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10981,plain,
% 77.33/49.15 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB93)) | v168(constB93) | (~v226(constB93))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 77.33/49.15 tff(10982,plain,
% 77.33/49.15 (~v161(constB93)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10981, 10975, 10965, 10911])).
% 77.33/49.15 tff(10983,plain,
% 77.33/49.15 (^[VarCurr: $i] : refl((v161(VarCurr) | (~v187(VarCurr))) <=> (v161(VarCurr) | (~v187(VarCurr))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10984,plain,
% 77.33/49.15 (![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10983])).
% 77.33/49.15 tff(10985,plain,
% 77.33/49.15 (![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10986,axiom,(![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_3')).
% 77.33/49.15 tff(10987,plain,
% 77.33/49.15 (![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 77.33/49.15 tff(10988,plain,(
% 77.33/49.15 ![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.15 inference(skolemize,[status(sab)],[10987])).
% 77.33/49.15 tff(10989,plain,
% 77.33/49.15 (![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10988, 10984])).
% 77.33/49.15 tff(10990,plain,
% 77.33/49.15 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB93) | (~v187(constB93)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB93) | (~v187(constB93)))),
% 77.33/49.15 inference(rewrite,[status(thm)],[])).
% 77.33/49.15 tff(10991,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB93) | (~v187(constB93)))),
% 77.33/49.15 inference(quant_inst,[status(thm)],[])).
% 77.33/49.15 tff(10992,plain,
% 77.33/49.15 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB93) | (~v187(constB93))),
% 77.33/49.15 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 77.33/49.15 tff(10993,plain,
% 77.33/49.15 (~v187(constB93)),
% 77.33/49.15 inference(unit_resolution,[status(thm)],[10992, 10989, 10982])).
% 77.33/49.15 tff(10994,plain,
% 77.33/49.15 (^[VarCurr: $i] : refl((v187(VarCurr) | (~v185(VarCurr))) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 77.33/49.15 inference(bind,[status(th)],[])).
% 77.33/49.15 tff(10995,plain,
% 77.33/49.15 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 77.33/49.15 inference(quant_intro,[status(thm)],[10994])).
% 77.33/49.15 tff(10996,plain,
% 77.33/49.15 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(10997,axiom,(![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 77.33/49.16 tff(10998,plain,
% 77.33/49.16 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 77.33/49.16 tff(10999,plain,(
% 77.33/49.16 ![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 77.33/49.16 inference(skolemize,[status(sab)],[10998])).
% 77.33/49.16 tff(11000,plain,
% 77.33/49.16 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[10999, 10995])).
% 77.33/49.16 tff(11001,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11002,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11003,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 77.33/49.16 tff(11004,plain,
% 77.33/49.16 (~v185(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11003, 11000, 10993])).
% 77.33/49.16 tff(11005,assumption,(v18(constB94)), introduced(assumption)).
% 77.33/49.16 tff(11006,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB94))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11007,plain,
% 77.33/49.16 ($false),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11006, 70, 11005])).
% 77.33/49.16 tff(11008,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 77.33/49.16 tff(11009,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11010,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11011,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11010, 11009])).
% 77.33/49.16 tff(11012,plain,
% 77.33/49.16 (v22(constB94)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11011, 83, 10366])).
% 77.33/49.16 tff(11013,plain,
% 77.33/49.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11014,plain,
% 77.33/49.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11015,plain,
% 77.33/49.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94)),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11014, 11013])).
% 77.33/49.16 tff(11016,plain,
% 77.33/49.16 ((~v19(constB94)) | v18(constB94)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11015, 97, 11012])).
% 77.33/49.16 tff(11017,plain,
% 77.33/49.16 (~v19(constB94)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11016, 11008])).
% 77.33/49.16 tff(11018,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11019,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11020,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 77.33/49.16 tff(11021,plain,
% 77.33/49.16 (v13(constB94)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11020, 112, 11017])).
% 77.33/49.16 tff(11022,plain,
% 77.33/49.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11023,plain,
% 77.33/49.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11024,plain,
% 77.33/49.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93)),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 77.33/49.16 tff(11025,plain,
% 77.33/49.16 ((~v13(constB94)) | v9(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11024, 129, 10340])).
% 77.33/49.16 tff(11026,plain,
% 77.33/49.16 (v9(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11025, 11021])).
% 77.33/49.16 tff(11027,plain,
% 77.33/49.16 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11028,plain,
% 77.33/49.16 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11027])).
% 77.33/49.16 tff(11029,plain,
% 77.33/49.16 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11030,plain,
% 77.33/49.16 (^[VarCurr: $i] : trans(monotonicity(rewrite((v184(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v184(VarCurr))), (((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v184(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v184(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))), (((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11031,plain,
% 77.33/49.16 (![VarCurr: $i] : ((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11030])).
% 77.33/49.16 tff(11032,axiom,(![VarCurr: $i] : ((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1')).
% 77.33/49.16 tff(11033,plain,
% 77.33/49.16 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11032, 11031])).
% 77.33/49.16 tff(11034,plain,
% 77.33/49.16 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11033, 11029])).
% 77.33/49.16 tff(11035,plain,(
% 77.33/49.16 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(skolemize,[status(sab)],[11034])).
% 77.33/49.16 tff(11036,plain,
% 77.33/49.16 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11035, 11028])).
% 77.33/49.16 tff(11037,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11038,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11039,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93)),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11038, 11037])).
% 77.33/49.16 tff(11040,plain,
% 77.33/49.16 ((~v9(constB93)) | v184(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11039, 11036, 10203])).
% 77.33/49.16 tff(11041,plain,
% 77.33/49.16 (v184(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11040, 11026])).
% 77.33/49.16 tff(11042,plain,
% 77.33/49.16 (^[VarCurr: $i] : refl((v183(VarCurr) | (~v184(VarCurr))) <=> (v183(VarCurr) | (~v184(VarCurr))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11043,plain,
% 77.33/49.16 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11042])).
% 77.33/49.16 tff(11044,plain,
% 77.33/49.16 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11045,axiom,(![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1')).
% 77.33/49.16 tff(11046,plain,
% 77.33/49.16 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11045, 11044])).
% 77.33/49.16 tff(11047,plain,(
% 77.33/49.16 ![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 77.33/49.16 inference(skolemize,[status(sab)],[11046])).
% 77.33/49.16 tff(11048,plain,
% 77.33/49.16 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11047, 11043])).
% 77.33/49.16 tff(11049,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB93) | (~v184(constB93)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB93) | (~v184(constB93)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11050,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB93) | (~v184(constB93)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11051,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB93) | (~v184(constB93))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 77.33/49.16 tff(11052,plain,
% 77.33/49.16 (v183(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11051, 11048, 11041])).
% 77.33/49.16 tff(11053,plain,
% 77.33/49.16 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v181(VarCurr))) <=> ((~v183(VarCurr)) | (~v181(VarCurr))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11054,plain,
% 77.33/49.16 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11053])).
% 77.33/49.16 tff(11055,plain,
% 77.33/49.16 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11056,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_3')).
% 77.33/49.16 tff(11057,plain,
% 77.33/49.16 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11056, 11055])).
% 77.33/49.16 tff(11058,plain,(
% 77.33/49.16 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 77.33/49.16 inference(skolemize,[status(sab)],[11057])).
% 77.33/49.16 tff(11059,plain,
% 77.33/49.16 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11058, 11054])).
% 77.33/49.16 tff(11060,plain,
% 77.33/49.16 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB93)) | (~v181(constB93)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB93)) | (~v181(constB93)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11061,plain,
% 77.33/49.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB93)) | (~v181(constB93)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11062,plain,
% 77.33/49.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB93)) | (~v181(constB93))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11061, 11060])).
% 77.33/49.16 tff(11063,plain,
% 77.33/49.16 (~v181(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11062, 11059, 11052])).
% 77.33/49.16 tff(11064,plain,
% 77.33/49.16 (^[VarCurr: $i] : refl((v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11065,plain,
% 77.33/49.16 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11064])).
% 77.33/49.16 tff(11066,plain,
% 77.33/49.16 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11067,plain,
% 77.33/49.16 (^[VarCurr: $i] : trans(monotonicity(rewrite((v185(VarCurr) | v181(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr))), (((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr))) <=> ((v181(VarCurr) | v185(VarCurr)) | (~v178(VarCurr))))), rewrite(((v181(VarCurr) | v185(VarCurr)) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))), (((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11068,plain,
% 77.33/49.16 (![VarCurr: $i] : ((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11067])).
% 77.33/49.16 tff(11069,axiom,(![VarCurr: $i] : ((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_3')).
% 77.33/49.16 tff(11070,plain,
% 77.33/49.16 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11069, 11068])).
% 77.33/49.16 tff(11071,plain,
% 77.33/49.16 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11070, 11066])).
% 77.33/49.16 tff(11072,plain,(
% 77.33/49.16 ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(skolemize,[status(sab)],[11071])).
% 77.33/49.16 tff(11073,plain,
% 77.33/49.16 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11072, 11065])).
% 77.33/49.16 tff(11074,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11075,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11076,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11075, 11074])).
% 77.33/49.16 tff(11077,plain,
% 77.33/49.16 (v185(constB93) | (~v178(constB93))),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11076, 11073, 11063])).
% 77.33/49.16 tff(11078,plain,
% 77.33/49.16 (~v178(constB93)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11077, 11004])).
% 77.33/49.16 tff(11079,plain,
% 77.33/49.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11080,plain,
% 77.33/49.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11079])).
% 77.33/49.16 tff(11081,plain,
% 77.33/49.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11082,plain,
% 77.33/49.16 (^[VarNext: $i, VarCurr: $i] : rewrite(((v178(VarCurr) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11083,plain,
% 77.33/49.16 (![VarNext: $i, VarCurr: $i] : ((v178(VarCurr) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11082])).
% 77.33/49.16 tff(11084,axiom,(![VarNext: $i, VarCurr: $i] : ((v178(VarCurr) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_1_2')).
% 77.33/49.16 tff(11085,plain,
% 77.33/49.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11084, 11083])).
% 77.33/49.16 tff(11086,plain,
% 77.33/49.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11085, 11081])).
% 77.33/49.16 tff(11087,plain,(
% 77.33/49.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(skolemize,[status(sab)],[11086])).
% 77.33/49.16 tff(11088,plain,
% 77.33/49.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11087, 11080])).
% 77.33/49.16 tff(11089,plain,
% 77.33/49.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11090,plain,
% 77.33/49.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11091,plain,
% 77.33/49.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 77.33/49.16 tff(11092,plain,
% 77.33/49.16 (v178(constB93) | (~v180(constB94))),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11091, 11088, 10340])).
% 77.33/49.16 tff(11093,plain,
% 77.33/49.16 (~v180(constB94)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11092, 11078])).
% 77.33/49.16 tff(11094,plain,
% 77.33/49.16 (^[VarCurr: $i] : refl((v180(VarCurr) | (~v181(VarCurr))) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11095,plain,
% 77.33/49.16 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11094])).
% 77.33/49.16 tff(11096,plain,
% 77.33/49.16 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11097,axiom,(![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 77.33/49.16 tff(11098,plain,
% 77.33/49.16 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 77.33/49.16 tff(11099,plain,(
% 77.33/49.16 ![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 77.33/49.16 inference(skolemize,[status(sab)],[11098])).
% 77.33/49.16 tff(11100,plain,
% 77.33/49.16 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11099, 11095])).
% 77.33/49.16 tff(11101,plain,
% 77.33/49.16 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94)))),
% 77.33/49.16 inference(rewrite,[status(thm)],[])).
% 77.33/49.16 tff(11102,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))),
% 77.33/49.16 inference(quant_inst,[status(thm)],[])).
% 77.33/49.16 tff(11103,plain,
% 77.33/49.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94))),
% 77.33/49.16 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 77.33/49.16 tff(11104,plain,
% 77.33/49.16 (~v181(constB94)),
% 77.33/49.16 inference(unit_resolution,[status(thm)],[11103, 11100, 11093])).
% 77.33/49.16 tff(11105,plain,
% 77.33/49.16 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v184(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 77.33/49.16 inference(bind,[status(th)],[])).
% 77.33/49.16 tff(11106,plain,
% 77.33/49.16 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 77.33/49.16 inference(quant_intro,[status(thm)],[11105])).
% 77.33/49.16 tff(11107,plain,
% 77.33/49.16 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11108,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_2')).
% 77.33/49.17 tff(11109,plain,
% 77.33/49.17 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11108, 11107])).
% 77.33/49.17 tff(11110,plain,(
% 77.33/49.17 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 77.33/49.17 inference(skolemize,[status(sab)],[11109])).
% 77.33/49.17 tff(11111,plain,
% 77.33/49.17 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11110, 11106])).
% 77.33/49.17 tff(11112,plain,
% 77.33/49.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11113,plain,
% 77.33/49.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11114,plain,
% 77.33/49.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 77.33/49.17 tff(11115,plain,
% 77.33/49.17 (~v184(constB94)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11114, 11111, 10366])).
% 77.33/49.17 tff(11116,plain,
% 77.33/49.17 (^[VarCurr: $i] : refl((v184(VarCurr) | (~v187(VarCurr))) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11117,plain,
% 77.33/49.17 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11116])).
% 77.33/49.17 tff(11118,plain,
% 77.33/49.17 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11119,axiom,(![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_2')).
% 77.33/49.17 tff(11120,plain,
% 77.33/49.17 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11119, 11118])).
% 77.33/49.17 tff(11121,plain,(
% 77.33/49.17 ![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.17 inference(skolemize,[status(sab)],[11120])).
% 77.33/49.17 tff(11122,plain,
% 77.33/49.17 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11121, 11117])).
% 77.33/49.17 tff(11123,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11124,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11125,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11124, 11123])).
% 77.33/49.17 tff(11126,plain,
% 77.33/49.17 (~v187(constB94)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11125, 11122, 11115])).
% 77.33/49.17 tff(11127,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11128,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11129,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11128, 11127])).
% 77.33/49.17 tff(11130,plain,
% 77.33/49.17 (~v185(constB94)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11129, 11000, 11126])).
% 77.33/49.17 tff(11131,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11132,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11133,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11132, 11131])).
% 77.33/49.17 tff(11134,plain,
% 77.33/49.17 (v181(constB94) | (~v178(constB94))),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11133, 11073, 11130])).
% 77.33/49.17 tff(11135,plain,
% 77.33/49.17 (~v178(constB94)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11134, 11104])).
% 77.33/49.17 tff(11136,plain,
% 77.33/49.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11137,plain,
% 77.33/49.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11138,plain,
% 77.33/49.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 77.33/49.17 tff(11139,plain,
% 77.33/49.17 (v178(constB94) | (~v180(constB95))),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11138, 11088, 10412])).
% 77.33/49.17 tff(11140,plain,
% 77.33/49.17 (~v180(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11139, 11135])).
% 77.33/49.17 tff(11141,plain,
% 77.33/49.17 (^[VarCurr: $i] : refl((v180(VarCurr) | (~v215(VarCurr))) <=> (v180(VarCurr) | (~v215(VarCurr))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11142,plain,
% 77.33/49.17 (![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11141])).
% 77.33/49.17 tff(11143,plain,
% 77.33/49.17 (![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11144,axiom,(![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_1_3')).
% 77.33/49.17 tff(11145,plain,
% 77.33/49.17 (![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11144, 11143])).
% 77.33/49.17 tff(11146,plain,(
% 77.33/49.17 ![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.17 inference(skolemize,[status(sab)],[11145])).
% 77.33/49.17 tff(11147,plain,
% 77.33/49.17 (![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11146, 11142])).
% 77.33/49.17 tff(11148,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB95) | (~v215(constB95)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB95) | (~v215(constB95)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11149,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB95) | (~v215(constB95)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11150,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB95) | (~v215(constB95))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 77.33/49.17 tff(11151,plain,
% 77.33/49.17 (~v215(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11150, 11147, 11140])).
% 77.33/49.17 tff(11152,assumption,(v18(constB96)), introduced(assumption)).
% 77.33/49.17 tff(11153,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB96))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11154,plain,
% 77.33/49.17 ($false),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11153, 70, 11152])).
% 77.33/49.17 tff(11155,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 77.33/49.17 tff(11156,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11157,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11158,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11157, 11156])).
% 77.33/49.17 tff(11159,plain,
% 77.33/49.17 (v22(constB96)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11158, 83, 10601])).
% 77.33/49.17 tff(11160,plain,
% 77.33/49.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11161,plain,
% 77.33/49.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11162,plain,
% 77.33/49.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96)),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11161, 11160])).
% 77.33/49.17 tff(11163,plain,
% 77.33/49.17 ((~v19(constB96)) | v18(constB96)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11162, 97, 11159])).
% 77.33/49.17 tff(11164,plain,
% 77.33/49.17 (~v19(constB96)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11163, 11155])).
% 77.33/49.17 tff(11165,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11166,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11167,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11166, 11165])).
% 77.33/49.17 tff(11168,plain,
% 77.33/49.17 (v13(constB96)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11167, 112, 11164])).
% 77.33/49.17 tff(11169,plain,
% 77.33/49.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11170,plain,
% 77.33/49.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11171,plain,
% 77.33/49.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95)),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11170, 11169])).
% 77.33/49.17 tff(11172,plain,
% 77.33/49.17 ((~v13(constB96)) | v9(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11171, 129, 10549])).
% 77.33/49.17 tff(11173,plain,
% 77.33/49.17 (v9(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11172, 11168])).
% 77.33/49.17 tff(11174,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v184(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB95) | (~v9(constB95)) | v184(constB95))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11175,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v184(constB95))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11176,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB95) | (~v9(constB95)) | v184(constB95)),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 77.33/49.17 tff(11177,plain,
% 77.33/49.17 ((~v9(constB95)) | v184(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11176, 11036, 10409])).
% 77.33/49.17 tff(11178,plain,
% 77.33/49.17 (v184(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11177, 11173])).
% 77.33/49.17 tff(11179,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB95) | (~v184(constB95)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB95) | (~v184(constB95)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11180,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB95) | (~v184(constB95)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11181,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB95) | (~v184(constB95))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11180, 11179])).
% 77.33/49.17 tff(11182,plain,
% 77.33/49.17 (v183(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11181, 11048, 11178])).
% 77.33/49.17 tff(11183,plain,
% 77.33/49.17 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v214(VarCurr))) <=> ((~v183(VarCurr)) | (~v214(VarCurr))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11184,plain,
% 77.33/49.17 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11183])).
% 77.33/49.17 tff(11185,plain,
% 77.33/49.17 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11186,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_3')).
% 77.33/49.17 tff(11187,plain,
% 77.33/49.17 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 77.33/49.17 tff(11188,plain,(
% 77.33/49.17 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 77.33/49.17 inference(skolemize,[status(sab)],[11187])).
% 77.33/49.17 tff(11189,plain,
% 77.33/49.17 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11188, 11184])).
% 77.33/49.17 tff(11190,plain,
% 77.33/49.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB95)) | (~v214(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB95)) | (~v214(constB95)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11191,plain,
% 77.33/49.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB95)) | (~v214(constB95)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11192,plain,
% 77.33/49.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB95)) | (~v214(constB95))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11191, 11190])).
% 77.33/49.17 tff(11193,plain,
% 77.33/49.17 (~v214(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11192, 11189, 11182])).
% 77.33/49.17 tff(11194,plain,
% 77.33/49.17 (^[VarCurr: $i] : refl((v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))) <=> (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11195,plain,
% 77.33/49.17 (![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11194])).
% 77.33/49.17 tff(11196,plain,
% 77.33/49.17 (![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11197,plain,
% 77.33/49.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v215(VarCurr) | v214(VarCurr)) <=> (v214(VarCurr) | v215(VarCurr))), (((v215(VarCurr) | v214(VarCurr)) | (~v211(VarCurr))) <=> ((v214(VarCurr) | v215(VarCurr)) | (~v211(VarCurr))))), rewrite(((v214(VarCurr) | v215(VarCurr)) | (~v211(VarCurr))) <=> (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))), (((v215(VarCurr) | v214(VarCurr)) | (~v211(VarCurr))) <=> (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11198,plain,
% 77.33/49.17 (![VarCurr: $i] : ((v215(VarCurr) | v214(VarCurr)) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11197])).
% 77.33/49.17 tff(11199,axiom,(![VarCurr: $i] : ((v215(VarCurr) | v214(VarCurr)) | (~v211(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_3')).
% 77.33/49.17 tff(11200,plain,
% 77.33/49.17 (![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11199, 11198])).
% 77.33/49.17 tff(11201,plain,
% 77.33/49.17 (![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11200, 11196])).
% 77.33/49.17 tff(11202,plain,(
% 77.33/49.17 ![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(skolemize,[status(sab)],[11201])).
% 77.33/49.17 tff(11203,plain,
% 77.33/49.17 (![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11202, 11195])).
% 77.33/49.17 tff(11204,plain,
% 77.33/49.17 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB95) | v215(constB95) | (~v211(constB95)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB95) | v215(constB95) | (~v211(constB95)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11205,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB95) | v215(constB95) | (~v211(constB95)))),
% 77.33/49.17 inference(quant_inst,[status(thm)],[])).
% 77.33/49.17 tff(11206,plain,
% 77.33/49.17 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB95) | v215(constB95) | (~v211(constB95))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 77.33/49.17 tff(11207,plain,
% 77.33/49.17 (v215(constB95) | (~v211(constB95))),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11206, 11203, 11193])).
% 77.33/49.17 tff(11208,plain,
% 77.33/49.17 (~v211(constB95)),
% 77.33/49.17 inference(unit_resolution,[status(thm)],[11207, 11151])).
% 77.33/49.17 tff(11209,plain,
% 77.33/49.17 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11210,plain,
% 77.33/49.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11209])).
% 77.33/49.17 tff(11211,plain,
% 77.33/49.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(rewrite,[status(thm)],[])).
% 77.33/49.17 tff(11212,plain,
% 77.33/49.17 (^[VarNext: $i, VarCurr: $i] : rewrite(((v211(VarCurr) | (~v213(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))))),
% 77.33/49.17 inference(bind,[status(th)],[])).
% 77.33/49.17 tff(11213,plain,
% 77.33/49.17 (![VarNext: $i, VarCurr: $i] : ((v211(VarCurr) | (~v213(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(quant_intro,[status(thm)],[11212])).
% 77.33/49.17 tff(11214,axiom,(![VarNext: $i, VarCurr: $i] : ((v211(VarCurr) | (~v213(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_13_1_2')).
% 77.33/49.17 tff(11215,plain,
% 77.33/49.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 77.33/49.17 tff(11216,plain,
% 77.33/49.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11215, 11211])).
% 77.33/49.17 tff(11217,plain,(
% 77.33/49.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(skolemize,[status(sab)],[11216])).
% 77.33/49.17 tff(11218,plain,
% 77.33/49.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 77.33/49.17 inference(modus_ponens,[status(thm)],[11217, 11210])).
% 77.33/49.17 tff(11219,plain,
% 77.33/49.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB95, constB96)) | v211(constB95) | (~v213(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB95, constB96)) | v211(constB95) | (~v213(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11220,plain,
% 77.33/49.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB95, constB96)) | v211(constB95) | (~v213(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11221,plain,
% 77.33/49.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB95, constB96)) | v211(constB95) | (~v213(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 77.33/49.18 tff(11222,plain,
% 77.33/49.18 (v211(constB95) | (~v213(constB96))),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11221, 11218, 10549])).
% 77.33/49.18 tff(11223,plain,
% 77.33/49.18 (~v213(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11222, 11208])).
% 77.33/49.18 tff(11224,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl((v213(VarCurr) | (~v214(VarCurr))) <=> (v213(VarCurr) | (~v214(VarCurr))))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11225,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr))) <=> ![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11224])).
% 77.33/49.18 tff(11226,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr))) <=> ![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11227,axiom,(![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 77.33/49.18 tff(11228,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 77.33/49.18 tff(11229,plain,(
% 77.33/49.18 ![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))),
% 77.33/49.18 inference(skolemize,[status(sab)],[11228])).
% 77.33/49.18 tff(11230,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11229, 11225])).
% 77.33/49.18 tff(11231,plain,
% 77.33/49.18 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB96) | (~v214(constB96)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB96) | (~v214(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11232,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB96) | (~v214(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11233,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB96) | (~v214(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 77.33/49.18 tff(11234,plain,
% 77.33/49.18 (~v214(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11233, 11230, 11223])).
% 77.33/49.18 tff(11235,plain,
% 77.33/49.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11236,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11237,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11236, 11235])).
% 77.33/49.18 tff(11238,plain,
% 77.33/49.18 (~v184(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11237, 11111, 10601])).
% 77.33/49.18 tff(11239,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl((v184(VarCurr) | (~v217(VarCurr))) <=> (v184(VarCurr) | (~v217(VarCurr))))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11240,plain,
% 77.33/49.18 (![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11239])).
% 77.33/49.18 tff(11241,plain,
% 77.33/49.18 (![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11242,axiom,(![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_55_1_1_2')).
% 77.33/49.18 tff(11243,plain,
% 77.33/49.18 (![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 77.33/49.18 tff(11244,plain,(
% 77.33/49.18 ![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))),
% 77.33/49.18 inference(skolemize,[status(sab)],[11243])).
% 77.33/49.18 tff(11245,plain,
% 77.33/49.18 (![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11244, 11240])).
% 77.33/49.18 tff(11246,plain,
% 77.33/49.18 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB96) | (~v217(constB96)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB96) | (~v217(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11247,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB96) | (~v217(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11248,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB96) | (~v217(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11247, 11246])).
% 77.33/49.18 tff(11249,plain,
% 77.33/49.18 (~v217(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11248, 11245, 11238])).
% 77.33/49.18 tff(11250,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl((v217(VarCurr) | (~v216(VarCurr))) <=> (v217(VarCurr) | (~v216(VarCurr))))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11251,plain,
% 77.33/49.18 (![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr))) <=> ![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11250])).
% 77.33/49.18 tff(11252,plain,
% 77.33/49.18 (![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr))) <=> ![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11253,axiom,(![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_1_2')).
% 77.33/49.18 tff(11254,plain,
% 77.33/49.18 (![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 77.33/49.18 tff(11255,plain,(
% 77.33/49.18 ![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))),
% 77.33/49.18 inference(skolemize,[status(sab)],[11254])).
% 77.33/49.18 tff(11256,plain,
% 77.33/49.18 (![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11255, 11251])).
% 77.33/49.18 tff(11257,plain,
% 77.33/49.18 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB96) | (~v216(constB96)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB96) | (~v216(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11258,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB96) | (~v216(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11259,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB96) | (~v216(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 77.33/49.18 tff(11260,plain,
% 77.33/49.18 (~v216(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11259, 11256, 11249])).
% 77.33/49.18 tff(11261,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl((v216(VarCurr) | (~v215(VarCurr))) <=> (v216(VarCurr) | (~v215(VarCurr))))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11262,plain,
% 77.33/49.18 (![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11261])).
% 77.33/49.18 tff(11263,plain,
% 77.33/49.18 (![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11264,axiom,(![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_1_2')).
% 77.33/49.18 tff(11265,plain,
% 77.33/49.18 (![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 77.33/49.18 tff(11266,plain,(
% 77.33/49.18 ![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.18 inference(skolemize,[status(sab)],[11265])).
% 77.33/49.18 tff(11267,plain,
% 77.33/49.18 (![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11266, 11262])).
% 77.33/49.18 tff(11268,plain,
% 77.33/49.18 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB96) | (~v215(constB96)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB96) | (~v215(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11269,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB96) | (~v215(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11270,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB96) | (~v215(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 77.33/49.18 tff(11271,plain,
% 77.33/49.18 (~v215(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11270, 11267, 11260])).
% 77.33/49.18 tff(11272,plain,
% 77.33/49.18 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB96) | v215(constB96) | (~v211(constB96)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB96) | v215(constB96) | (~v211(constB96)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11273,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB96) | v215(constB96) | (~v211(constB96)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11274,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB96) | v215(constB96) | (~v211(constB96))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 77.33/49.18 tff(11275,plain,
% 77.33/49.18 (v214(constB96) | (~v211(constB96))),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11274, 11203, 11271])).
% 77.33/49.18 tff(11276,plain,
% 77.33/49.18 (~v211(constB96)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11275, 11234])).
% 77.33/49.18 tff(11277,plain,
% 77.33/49.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB96, constB97)) | v211(constB96) | (~v213(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB96, constB97)) | v211(constB96) | (~v213(constB97)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11278,plain,
% 77.33/49.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB96, constB97)) | v211(constB96) | (~v213(constB97)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11279,plain,
% 77.33/49.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB96, constB97)) | v211(constB96) | (~v213(constB97))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 77.33/49.18 tff(11280,plain,
% 77.33/49.18 (v211(constB96) | (~v213(constB97))),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11279, 11218, 10659])).
% 77.33/49.18 tff(11281,plain,
% 77.33/49.18 (~v213(constB97)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11280, 11276])).
% 77.33/49.18 tff(11282,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl((v213(VarCurr) | (~v297(VarCurr))) <=> (v213(VarCurr) | (~v297(VarCurr))))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11283,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11282])).
% 77.33/49.18 tff(11284,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11285,axiom,(![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_86_1_1_1_2')).
% 77.33/49.18 tff(11286,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 77.33/49.18 tff(11287,plain,(
% 77.33/49.18 ![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))),
% 77.33/49.18 inference(skolemize,[status(sab)],[11286])).
% 77.33/49.18 tff(11288,plain,
% 77.33/49.18 (![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11287, 11283])).
% 77.33/49.18 tff(11289,plain,
% 77.33/49.18 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB97) | (~v297(constB97)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB97) | (~v297(constB97)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11290,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB97) | (~v297(constB97)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11291,plain,
% 77.33/49.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB97) | (~v297(constB97))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 77.33/49.18 tff(11292,plain,
% 77.33/49.18 (~v297(constB97)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11291, 11288, 11281])).
% 77.33/49.18 tff(11293,plain,
% 77.33/49.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11294,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11295,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2)),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 77.33/49.18 tff(11296,plain,
% 77.33/49.18 (v88(constB95, bitIndex2)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11295, 10735, 10483])).
% 77.33/49.18 tff(11297,plain,
% 77.33/49.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB95)) | (~v88(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB95)) | (~v88(constB95, bitIndex2)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11298,plain,
% 77.33/49.18 (((~v88(constB95, bitIndex2)) | (~v140(constB95))) <=> ((~v140(constB95)) | (~v88(constB95, bitIndex2)))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11299,plain,
% 77.33/49.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB95)) | (~v88(constB95, bitIndex2))))),
% 77.33/49.18 inference(monotonicity,[status(thm)],[11298])).
% 77.33/49.18 tff(11300,plain,
% 77.33/49.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB95)) | (~v88(constB95, bitIndex2)))),
% 77.33/49.18 inference(transitivity,[status(thm)],[11299, 11297])).
% 77.33/49.18 tff(11301,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11302,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB95)) | (~v88(constB95, bitIndex2))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11301, 11300])).
% 77.33/49.18 tff(11303,plain,
% 77.33/49.18 (~v140(constB95)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11302, 10893, 11296])).
% 77.33/49.18 tff(11304,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11305,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11304])).
% 77.33/49.18 tff(11306,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11307,plain,
% 77.33/49.18 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11308,plain,
% 77.33/49.18 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11307])).
% 77.33/49.18 tff(11309,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 77.33/49.18 tff(11310,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 77.33/49.18 tff(11311,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11310, 11306])).
% 77.33/49.18 tff(11312,plain,(
% 77.33/49.18 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(skolemize,[status(sab)],[11311])).
% 77.33/49.18 tff(11313,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11312, 11305])).
% 77.33/49.18 tff(11314,plain,
% 77.33/49.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))),
% 77.33/49.18 inference(rewrite,[status(thm)],[])).
% 77.33/49.18 tff(11315,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))),
% 77.33/49.18 inference(quant_inst,[status(thm)],[])).
% 77.33/49.18 tff(11316,plain,
% 77.33/49.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0)),
% 77.33/49.18 inference(modus_ponens,[status(thm)],[11315, 11314])).
% 77.33/49.18 tff(11317,plain,
% 77.33/49.18 (v88(constB95, bitIndex0)),
% 77.33/49.18 inference(unit_resolution,[status(thm)],[11316, 11313, 10433])).
% 77.33/49.18 tff(11318,plain,
% 77.33/49.18 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))))),
% 77.33/49.18 inference(bind,[status(th)],[])).
% 77.33/49.18 tff(11319,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 77.33/49.18 inference(quant_intro,[status(thm)],[11318])).
% 77.33/49.18 tff(11320,plain,
% 77.33/49.18 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11321,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 77.33/49.19 tff(11322,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 77.33/49.19 tff(11323,plain,(
% 77.33/49.19 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 77.33/49.19 inference(skolemize,[status(sab)],[11322])).
% 77.33/49.19 tff(11324,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11323, 11319])).
% 77.33/49.19 tff(11325,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB95)) | (~v88(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB95)) | (~v88(constB95, bitIndex0)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11326,plain,
% 77.33/49.19 (((~v88(constB95, bitIndex0)) | (~v139(constB95))) <=> ((~v139(constB95)) | (~v88(constB95, bitIndex0)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11327,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB95)) | (~v88(constB95, bitIndex0))))),
% 77.33/49.19 inference(monotonicity,[status(thm)],[11326])).
% 77.33/49.19 tff(11328,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB95)) | (~v88(constB95, bitIndex0)))),
% 77.33/49.19 inference(transitivity,[status(thm)],[11327, 11325])).
% 77.33/49.19 tff(11329,plain,
% 77.33/49.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11330,plain,
% 77.33/49.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB95)) | (~v88(constB95, bitIndex0))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 77.33/49.19 tff(11331,plain,
% 77.33/49.19 (~v139(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11330, 11324, 11317])).
% 77.33/49.19 tff(11332,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB95)) | v140(constB95) | v139(constB95))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB95)) | v140(constB95) | v139(constB95))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11333,plain,
% 77.33/49.19 ((v140(constB95) | v139(constB95) | (~v168(constB95))) <=> ((~v168(constB95)) | v140(constB95) | v139(constB95))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11334,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v168(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB95)) | v140(constB95) | v139(constB95)))),
% 77.33/49.19 inference(monotonicity,[status(thm)],[11333])).
% 77.33/49.19 tff(11335,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v168(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB95)) | v140(constB95) | v139(constB95))),
% 77.33/49.19 inference(transitivity,[status(thm)],[11334, 11332])).
% 77.33/49.19 tff(11336,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v168(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11337,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB95)) | v140(constB95) | v139(constB95)),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 77.33/49.19 tff(11338,plain,
% 77.33/49.19 ((~v168(constB95)) | v140(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11337, 10907, 11331])).
% 77.33/49.19 tff(11339,plain,
% 77.33/49.19 (~v168(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11338, 11303])).
% 77.33/49.19 tff(11340,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11341,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11342,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 77.33/49.19 tff(11343,plain,
% 77.33/49.19 (~v88(constB95, bitIndex1)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11342, 10918, 10517])).
% 77.33/49.19 tff(11344,plain,
% 77.33/49.19 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)))),
% 77.33/49.19 inference(bind,[status(th)],[])).
% 77.33/49.19 tff(11345,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(quant_intro,[status(thm)],[11344])).
% 77.33/49.19 tff(11346,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11347,plain,
% 77.33/49.19 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))), ((((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))), ((((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))))),
% 77.33/49.19 inference(bind,[status(th)],[])).
% 77.33/49.19 tff(11348,plain,
% 77.33/49.19 (![VarCurr: $i] : (((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(quant_intro,[status(thm)],[11347])).
% 77.33/49.19 tff(11349,axiom,(![VarCurr: $i] : (((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15_1_1_1')).
% 77.33/49.19 tff(11350,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 77.33/49.19 tff(11351,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11350, 11346])).
% 77.33/49.19 tff(11352,plain,(
% 77.33/49.19 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(skolemize,[status(sab)],[11351])).
% 77.33/49.19 tff(11353,plain,
% 77.33/49.19 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11352, 11345])).
% 77.33/49.19 tff(11354,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11355,plain,
% 77.33/49.19 (((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95)) <=> ((~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11356,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))))),
% 77.33/49.19 inference(monotonicity,[status(thm)],[11355])).
% 77.33/49.19 tff(11357,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)))),
% 77.33/49.19 inference(transitivity,[status(thm)],[11356, 11354])).
% 77.33/49.19 tff(11358,plain,
% 77.33/49.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11359,plain,
% 77.33/49.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 77.33/49.19 tff(11360,plain,
% 77.33/49.19 ((~v88(constB95, bitIndex2)) | v147(constB95) | v88(constB95, bitIndex1)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11359, 11353, 11317])).
% 77.33/49.19 tff(11361,plain,
% 77.33/49.19 (v147(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11360, 11296, 11343])).
% 77.33/49.19 tff(11362,plain,
% 77.33/49.19 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v147(VarCurr))) <=> (v145(VarCurr) | (~v147(VarCurr))))),
% 77.33/49.19 inference(bind,[status(th)],[])).
% 77.33/49.19 tff(11363,plain,
% 77.33/49.19 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 77.33/49.19 inference(quant_intro,[status(thm)],[11362])).
% 77.33/49.19 tff(11364,plain,
% 77.33/49.19 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11365,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1')).
% 77.33/49.19 tff(11366,plain,
% 77.33/49.19 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 77.33/49.19 tff(11367,plain,(
% 77.33/49.19 ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 77.33/49.19 inference(skolemize,[status(sab)],[11366])).
% 77.33/49.19 tff(11368,plain,
% 77.33/49.19 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11367, 11363])).
% 77.33/49.19 tff(11369,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB95) | (~v147(constB95)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB95) | (~v147(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11370,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB95) | (~v147(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11371,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB95) | (~v147(constB95))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11370, 11369])).
% 77.33/49.19 tff(11372,plain,
% 77.33/49.19 (v145(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11371, 11368, 11361])).
% 77.33/49.19 tff(11373,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB95) | (~v145(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11374,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB95) | (~v145(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11375,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB95) | (~v145(constB95))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11374, 11373])).
% 77.33/49.19 tff(11376,plain,
% 77.33/49.19 (v226(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11375, 10961, 11372])).
% 77.33/49.19 tff(11377,plain,
% 77.33/49.19 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB95)) | v168(constB95) | (~v226(constB95)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v226(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11378,plain,
% 77.33/49.19 ((v168(constB95) | (~v226(constB95)) | (~v161(constB95))) <=> ((~v161(constB95)) | v168(constB95) | (~v226(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11379,plain,
% 77.33/49.19 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB95) | (~v226(constB95)) | (~v161(constB95)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB95)) | v168(constB95) | (~v226(constB95))))),
% 77.33/49.19 inference(monotonicity,[status(thm)],[11378])).
% 77.33/49.19 tff(11380,plain,
% 77.33/49.19 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB95) | (~v226(constB95)) | (~v161(constB95)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v226(constB95)))),
% 77.33/49.19 inference(transitivity,[status(thm)],[11379, 11377])).
% 77.33/49.19 tff(11381,plain,
% 77.33/49.19 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB95) | (~v226(constB95)) | (~v161(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11382,plain,
% 77.33/49.19 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v226(constB95))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11381, 11380])).
% 77.33/49.19 tff(11383,plain,
% 77.33/49.19 (~v161(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11382, 10975, 11376, 11339])).
% 77.33/49.19 tff(11384,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB95) | (~v187(constB95)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB95) | (~v187(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11385,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB95) | (~v187(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11386,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB95) | (~v187(constB95))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 77.33/49.19 tff(11387,plain,
% 77.33/49.19 (~v187(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11386, 10989, 11383])).
% 77.33/49.19 tff(11388,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11389,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11390,plain,
% 77.33/49.19 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 77.33/49.19 tff(11391,plain,
% 77.33/49.19 (~v185(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11390, 11000, 11387])).
% 77.33/49.19 tff(11392,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB95)) | (~v183(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB95)) | (~v183(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11393,plain,
% 77.33/49.19 (((~v183(constB95)) | (~v181(constB95))) <=> ((~v181(constB95)) | (~v183(constB95)))),
% 77.33/49.19 inference(rewrite,[status(thm)],[])).
% 77.33/49.19 tff(11394,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB95)) | (~v181(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB95)) | (~v183(constB95))))),
% 77.33/49.19 inference(monotonicity,[status(thm)],[11393])).
% 77.33/49.19 tff(11395,plain,
% 77.33/49.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB95)) | (~v181(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB95)) | (~v183(constB95)))),
% 77.33/49.19 inference(transitivity,[status(thm)],[11394, 11392])).
% 77.33/49.19 tff(11396,plain,
% 77.33/49.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB95)) | (~v181(constB95)))),
% 77.33/49.19 inference(quant_inst,[status(thm)],[])).
% 77.33/49.19 tff(11397,plain,
% 77.33/49.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB95)) | (~v183(constB95))),
% 77.33/49.19 inference(modus_ponens,[status(thm)],[11396, 11395])).
% 77.33/49.19 tff(11398,plain,
% 77.33/49.19 (~v181(constB95)),
% 77.33/49.19 inference(unit_resolution,[status(thm)],[11397, 11059, 11182])).
% 77.33/49.19 tff(11399,plain,
% 77.33/49.19 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11400,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11401,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 77.33/49.20 tff(11402,plain,
% 77.33/49.20 (v185(constB95) | (~v178(constB95))),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11401, 11073, 11398])).
% 77.33/49.20 tff(11403,plain,
% 77.33/49.20 (~v178(constB95)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11402, 11391])).
% 77.33/49.20 tff(11404,plain,
% 77.33/49.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11405,plain,
% 77.33/49.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11406,plain,
% 77.33/49.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 77.33/49.20 tff(11407,plain,
% 77.33/49.20 (v178(constB95) | (~v180(constB96))),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11406, 11088, 10549])).
% 77.33/49.20 tff(11408,plain,
% 77.33/49.20 (~v180(constB96)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11407, 11403])).
% 77.33/49.20 tff(11409,plain,
% 77.33/49.20 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11410,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11411,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11410, 11409])).
% 77.33/49.20 tff(11412,plain,
% 77.33/49.20 (~v181(constB96)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11411, 11100, 11408])).
% 77.33/49.20 tff(11413,plain,
% 77.33/49.20 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11414,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11415,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 77.33/49.20 tff(11416,plain,
% 77.33/49.20 (~v187(constB96)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11415, 11122, 11238])).
% 77.33/49.20 tff(11417,plain,
% 77.33/49.20 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11418,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11419,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 77.33/49.20 tff(11420,plain,
% 77.33/49.20 (~v185(constB96)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11419, 11000, 11416])).
% 77.33/49.20 tff(11421,plain,
% 77.33/49.20 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11422,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11423,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11422, 11421])).
% 77.33/49.20 tff(11424,plain,
% 77.33/49.20 (v181(constB96) | (~v178(constB96))),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11423, 11073, 11420])).
% 77.33/49.20 tff(11425,plain,
% 77.33/49.20 (~v178(constB96)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11424, 11412])).
% 77.33/49.20 tff(11426,plain,
% 77.33/49.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11427,plain,
% 77.33/49.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11428,plain,
% 77.33/49.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11427, 11426])).
% 77.33/49.20 tff(11429,plain,
% 77.33/49.20 (v178(constB96) | (~v180(constB97))),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11428, 11088, 10659])).
% 77.33/49.20 tff(11430,plain,
% 77.33/49.20 (~v180(constB97)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11429, 11425])).
% 77.33/49.20 tff(11431,plain,
% 77.33/49.20 (^[VarCurr: $i] : refl((v180(VarCurr) | (~v293(VarCurr))) <=> (v180(VarCurr) | (~v293(VarCurr))))),
% 77.33/49.20 inference(bind,[status(th)],[])).
% 77.33/49.20 tff(11432,plain,
% 77.33/49.20 (![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))),
% 77.33/49.20 inference(quant_intro,[status(thm)],[11431])).
% 77.33/49.20 tff(11433,plain,
% 77.33/49.20 (![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11434,axiom,(![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_83_1_1_1_2')).
% 77.33/49.20 tff(11435,plain,
% 77.33/49.20 (![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11434, 11433])).
% 77.33/49.20 tff(11436,plain,(
% 77.33/49.20 ![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))),
% 77.33/49.20 inference(skolemize,[status(sab)],[11435])).
% 77.33/49.20 tff(11437,plain,
% 77.33/49.20 (![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11436, 11432])).
% 77.33/49.20 tff(11438,plain,
% 77.33/49.20 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB97) | (~v293(constB97)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB97) | (~v293(constB97)))),
% 77.33/49.20 inference(rewrite,[status(thm)],[])).
% 77.33/49.20 tff(11439,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB97) | (~v293(constB97)))),
% 77.33/49.20 inference(quant_inst,[status(thm)],[])).
% 77.33/49.20 tff(11440,plain,
% 77.33/49.20 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB97) | (~v293(constB97))),
% 77.33/49.20 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 77.33/49.20 tff(11441,plain,
% 77.33/49.20 (~v293(constB97)),
% 77.33/49.20 inference(unit_resolution,[status(thm)],[11440, 11437, 11430])).
% 77.33/49.20 tff(11442,plain,
% 77.33/49.20 (^[VarCurr: $i] : refl((v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))) <=> (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))))),
% 77.33/49.20 inference(bind,[status(th)],[])).
% 77.33/49.20 tff(11443,plain,
% 77.33/49.20 (![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))) <=> ![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(quant_intro,[status(thm)],[11442])).
% 77.39/49.20 tff(11444,plain,
% 77.39/49.20 (![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))) <=> ![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11445,plain,
% 77.39/49.20 (^[VarCurr: $i] : trans(monotonicity(rewrite((v297(VarCurr) | v293(VarCurr)) <=> (v293(VarCurr) | v297(VarCurr))), (((v297(VarCurr) | v293(VarCurr)) | (~v292(VarCurr))) <=> ((v293(VarCurr) | v297(VarCurr)) | (~v292(VarCurr))))), rewrite(((v293(VarCurr) | v297(VarCurr)) | (~v292(VarCurr))) <=> (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))), (((v297(VarCurr) | v293(VarCurr)) | (~v292(VarCurr))) <=> (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))))),
% 77.39/49.20 inference(bind,[status(th)],[])).
% 77.39/49.20 tff(11446,plain,
% 77.39/49.20 (![VarCurr: $i] : ((v297(VarCurr) | v293(VarCurr)) | (~v292(VarCurr))) <=> ![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(quant_intro,[status(thm)],[11445])).
% 77.39/49.20 tff(11447,axiom,(![VarCurr: $i] : ((v297(VarCurr) | v293(VarCurr)) | (~v292(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_87_1_1_1')).
% 77.39/49.20 tff(11448,plain,
% 77.39/49.20 (![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 77.39/49.20 tff(11449,plain,
% 77.39/49.20 (![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11448, 11444])).
% 77.39/49.20 tff(11450,plain,(
% 77.39/49.20 ![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(skolemize,[status(sab)],[11449])).
% 77.39/49.20 tff(11451,plain,
% 77.39/49.20 (![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11450, 11443])).
% 77.39/49.20 tff(11452,plain,
% 77.39/49.20 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB97) | v297(constB97) | (~v292(constB97)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB97) | v297(constB97) | (~v292(constB97)))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11453,plain,
% 77.39/49.20 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB97) | v297(constB97) | (~v292(constB97)))),
% 77.39/49.20 inference(quant_inst,[status(thm)],[])).
% 77.39/49.20 tff(11454,plain,
% 77.39/49.20 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB97) | v297(constB97) | (~v292(constB97))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11453, 11452])).
% 77.39/49.20 tff(11455,plain,
% 77.39/49.20 (v297(constB97) | (~v292(constB97))),
% 77.39/49.20 inference(unit_resolution,[status(thm)],[11454, 11451, 11441])).
% 77.39/49.20 tff(11456,plain,
% 77.39/49.20 (~v292(constB97)),
% 77.39/49.20 inference(unit_resolution,[status(thm)],[11455, 11292])).
% 77.39/49.20 tff(11457,plain,
% 77.39/49.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11458,plain,
% 77.39/49.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))),
% 77.39/49.20 inference(quant_inst,[status(thm)],[])).
% 77.39/49.20 tff(11459,plain,
% 77.39/49.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1)),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 77.39/49.20 tff(11460,plain,
% 77.39/49.20 (v88(constB91, bitIndex1)),
% 77.39/49.20 inference(unit_resolution,[status(thm)],[11459, 10690, 10053])).
% 77.39/49.20 tff(11461,plain,
% 77.39/49.20 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))))),
% 77.39/49.20 inference(bind,[status(th)],[])).
% 77.39/49.20 tff(11462,plain,
% 77.39/49.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 77.39/49.20 inference(quant_intro,[status(thm)],[11461])).
% 77.39/49.20 tff(11463,plain,
% 77.39/49.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11464,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 77.39/49.20 tff(11465,plain,
% 77.39/49.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 77.39/49.20 tff(11466,plain,(
% 77.39/49.20 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 77.39/49.20 inference(skolemize,[status(sab)],[11465])).
% 77.39/49.20 tff(11467,plain,
% 77.39/49.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11466, 11462])).
% 77.39/49.20 tff(11468,plain,
% 77.39/49.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2)))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11469,plain,
% 77.39/49.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2)))),
% 77.39/49.20 inference(quant_inst,[status(thm)],[])).
% 77.39/49.20 tff(11470,plain,
% 77.39/49.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2))),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11469, 11468])).
% 77.39/49.20 tff(11471,plain,
% 77.39/49.20 (~v88(constB91, bitIndex2)),
% 77.39/49.20 inference(unit_resolution,[status(thm)],[11470, 11467, 10087])).
% 77.39/49.20 tff(11472,plain,
% 77.39/49.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11473,plain,
% 77.39/49.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))),
% 77.39/49.20 inference(quant_inst,[status(thm)],[])).
% 77.39/49.20 tff(11474,plain,
% 77.39/49.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0)),
% 77.39/49.20 inference(modus_ponens,[status(thm)],[11473, 11472])).
% 77.39/49.20 tff(11475,plain,
% 77.39/49.20 (v88(constB91, bitIndex0)),
% 77.39/49.20 inference(unit_resolution,[status(thm)],[11474, 11313, 10096])).
% 77.39/49.20 tff(11476,plain,
% 77.39/49.20 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 77.39/49.20 inference(bind,[status(th)],[])).
% 77.39/49.20 tff(11477,plain,
% 77.39/49.20 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.20 inference(quant_intro,[status(thm)],[11476])).
% 77.39/49.20 tff(11478,plain,
% 77.39/49.20 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.20 inference(rewrite,[status(thm)],[])).
% 77.39/49.20 tff(11479,plain,
% 77.39/49.20 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)))), rewrite((((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 77.39/49.21 inference(bind,[status(th)],[])).
% 77.39/49.21 tff(11480,plain,
% 77.39/49.21 (![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.21 inference(quant_intro,[status(thm)],[11479])).
% 77.39/49.21 tff(11481,axiom,(![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 77.39/49.21 tff(11482,plain,
% 77.39/49.21 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 77.39/49.21 tff(11483,plain,
% 77.39/49.21 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11482, 11478])).
% 77.39/49.21 tff(11484,plain,(
% 77.39/49.21 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.21 inference(skolemize,[status(sab)],[11483])).
% 77.39/49.21 tff(11485,plain,
% 77.39/49.21 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11484, 11477])).
% 77.39/49.21 tff(11486,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)) | v141(constB91))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11487,plain,
% 77.39/49.21 ((v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91)) <=> ((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11488,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)) | v141(constB91)))),
% 77.39/49.21 inference(monotonicity,[status(thm)],[11487])).
% 77.39/49.21 tff(11489,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 77.39/49.21 inference(transitivity,[status(thm)],[11488, 11486])).
% 77.39/49.21 tff(11490,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11491,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)) | v141(constB91)),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 77.39/49.21 tff(11492,plain,
% 77.39/49.21 ((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | v141(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11491, 11485, 11475])).
% 77.39/49.21 tff(11493,plain,
% 77.39/49.21 (v141(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11492, 11471, 11460])).
% 77.39/49.21 tff(11494,plain,
% 77.39/49.21 (^[VarCurr: $i] : refl((v228(VarCurr) | (~v141(VarCurr))) <=> (v228(VarCurr) | (~v141(VarCurr))))),
% 77.39/49.21 inference(bind,[status(th)],[])).
% 77.39/49.21 tff(11495,plain,
% 77.39/49.21 (![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))),
% 77.39/49.21 inference(quant_intro,[status(thm)],[11494])).
% 77.39/49.21 tff(11496,plain,
% 77.39/49.21 (![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11497,axiom,(![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_60_1_1_2')).
% 77.39/49.21 tff(11498,plain,
% 77.39/49.21 (![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11497, 11496])).
% 77.39/49.21 tff(11499,plain,(
% 77.39/49.21 ![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))),
% 77.39/49.21 inference(skolemize,[status(sab)],[11498])).
% 77.39/49.21 tff(11500,plain,
% 77.39/49.21 (![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11499, 11495])).
% 77.39/49.21 tff(11501,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB91) | (~v141(constB91)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB91) | (~v141(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11502,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB91) | (~v141(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11503,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB91) | (~v141(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11502, 11501])).
% 77.39/49.21 tff(11504,plain,
% 77.39/49.21 (v228(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11503, 11500, 11493])).
% 77.39/49.21 tff(11505,plain,
% 77.39/49.21 (^[VarCurr: $i] : refl((v227(VarCurr) | (~v228(VarCurr))) <=> (v227(VarCurr) | (~v228(VarCurr))))),
% 77.39/49.21 inference(bind,[status(th)],[])).
% 77.39/49.21 tff(11506,plain,
% 77.39/49.21 (![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr))) <=> ![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))),
% 77.39/49.21 inference(quant_intro,[status(thm)],[11505])).
% 77.39/49.21 tff(11507,plain,
% 77.39/49.21 (![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr))) <=> ![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11508,axiom,(![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_1_1')).
% 77.39/49.21 tff(11509,plain,
% 77.39/49.21 (![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11508, 11507])).
% 77.39/49.21 tff(11510,plain,(
% 77.39/49.21 ![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))),
% 77.39/49.21 inference(skolemize,[status(sab)],[11509])).
% 77.39/49.21 tff(11511,plain,
% 77.39/49.21 (![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11510, 11506])).
% 77.39/49.21 tff(11512,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB91) | (~v228(constB91)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB91) | (~v228(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11513,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB91) | (~v228(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11514,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB91) | (~v228(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11513, 11512])).
% 77.39/49.21 tff(11515,plain,
% 77.39/49.21 (v227(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11514, 11511, 11504])).
% 77.39/49.21 tff(11516,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB91) | (~v227(constB91)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB91) | (~v227(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11517,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB91) | (~v227(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11518,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB91) | (~v227(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11517, 11516])).
% 77.39/49.21 tff(11519,plain,
% 77.39/49.21 (v226(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11518, 10817, 11515])).
% 77.39/49.21 tff(11520,plain,
% 77.39/49.21 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))))),
% 77.39/49.21 inference(bind,[status(th)],[])).
% 77.39/49.21 tff(11521,plain,
% 77.39/49.21 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 77.39/49.21 inference(quant_intro,[status(thm)],[11520])).
% 77.39/49.21 tff(11522,plain,
% 77.39/49.21 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11523,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 77.39/49.21 tff(11524,plain,
% 77.39/49.21 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 77.39/49.21 tff(11525,plain,(
% 77.39/49.21 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 77.39/49.21 inference(skolemize,[status(sab)],[11524])).
% 77.39/49.21 tff(11526,plain,
% 77.39/49.21 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11525, 11521])).
% 77.39/49.21 tff(11527,plain,
% 77.39/49.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB91, bitIndex1)) | (~v140(constB91)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB91, bitIndex1)) | (~v140(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11528,plain,
% 77.39/49.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB91, bitIndex1)) | (~v140(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11529,plain,
% 77.39/49.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB91, bitIndex1)) | (~v140(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 77.39/49.21 tff(11530,plain,
% 77.39/49.21 (~v140(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11529, 11526, 11460])).
% 77.39/49.21 tff(11531,plain,
% 77.39/49.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB91, bitIndex0)) | (~v139(constB91)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB91, bitIndex0)) | (~v139(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11532,plain,
% 77.39/49.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB91, bitIndex0)) | (~v139(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11533,plain,
% 77.39/49.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB91, bitIndex0)) | (~v139(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 77.39/49.21 tff(11534,plain,
% 77.39/49.21 (~v139(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11533, 11324, 11475])).
% 77.39/49.21 tff(11535,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11536,plain,
% 77.39/49.21 ((v140(constB91) | v139(constB91) | (~v168(constB91))) <=> (v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11537,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91))))),
% 77.39/49.21 inference(monotonicity,[status(thm)],[11536])).
% 77.39/49.21 tff(11538,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 77.39/49.21 inference(transitivity,[status(thm)],[11537, 11535])).
% 77.39/49.21 tff(11539,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11540,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 77.39/49.21 tff(11541,plain,
% 77.39/49.21 (v140(constB91) | (~v168(constB91))),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11540, 10907, 11534])).
% 77.39/49.21 tff(11542,plain,
% 77.39/49.21 (~v168(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11541, 11530])).
% 77.39/49.21 tff(11543,plain,
% 77.39/49.21 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB91)) | v168(constB91) | (~v226(constB91)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB91)) | v168(constB91) | (~v226(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11544,plain,
% 77.39/49.21 ((v168(constB91) | (~v226(constB91)) | (~v161(constB91))) <=> ((~v161(constB91)) | v168(constB91) | (~v226(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11545,plain,
% 77.39/49.21 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB91) | (~v226(constB91)) | (~v161(constB91)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB91)) | v168(constB91) | (~v226(constB91))))),
% 77.39/49.21 inference(monotonicity,[status(thm)],[11544])).
% 77.39/49.21 tff(11546,plain,
% 77.39/49.21 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB91) | (~v226(constB91)) | (~v161(constB91)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB91)) | v168(constB91) | (~v226(constB91)))),
% 77.39/49.21 inference(transitivity,[status(thm)],[11545, 11543])).
% 77.39/49.21 tff(11547,plain,
% 77.39/49.21 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB91) | (~v226(constB91)) | (~v161(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11548,plain,
% 77.39/49.21 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB91)) | v168(constB91) | (~v226(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 77.39/49.21 tff(11549,plain,
% 77.39/49.21 ((~v161(constB91)) | (~v226(constB91))),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11548, 10975, 11542])).
% 77.39/49.21 tff(11550,plain,
% 77.39/49.21 (~v161(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11549, 11519])).
% 77.39/49.21 tff(11551,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB91) | (~v187(constB91)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB91) | (~v187(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11552,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB91) | (~v187(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11553,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB91) | (~v187(constB91))),
% 77.39/49.21 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 77.39/49.21 tff(11554,plain,
% 77.39/49.21 (~v187(constB91)),
% 77.39/49.21 inference(unit_resolution,[status(thm)],[11553, 10989, 11550])).
% 77.39/49.21 tff(11555,plain,
% 77.39/49.21 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB91) | (~v185(constB91)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB91) | (~v185(constB91)))),
% 77.39/49.21 inference(rewrite,[status(thm)],[])).
% 77.39/49.21 tff(11556,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB91) | (~v185(constB91)))),
% 77.39/49.21 inference(quant_inst,[status(thm)],[])).
% 77.39/49.21 tff(11557,plain,
% 77.39/49.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB91) | (~v185(constB91))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 77.39/49.22 tff(11558,plain,
% 77.39/49.22 (~v185(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11557, 11000, 11554])).
% 77.39/49.22 tff(11559,assumption,(v18(constB92)), introduced(assumption)).
% 77.39/49.22 tff(11560,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB92))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11561,plain,
% 77.39/49.22 ($false),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11560, 70, 11559])).
% 77.39/49.22 tff(11562,plain,(~v18(constB92)), inference(lemma,lemma(discharge,[]))).
% 77.39/49.22 tff(11563,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11564,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11565,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 77.39/49.22 tff(11566,plain,
% 77.39/49.22 (v22(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11565, 83, 10160])).
% 77.39/49.22 tff(11567,plain,
% 77.39/49.22 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB92)) | (~v22(constB92)) | v18(constB92))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB92)) | (~v22(constB92)) | v18(constB92))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11568,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB92)) | (~v22(constB92)) | v18(constB92))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11569,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB92)) | (~v22(constB92)) | v18(constB92)),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 77.39/49.22 tff(11570,plain,
% 77.39/49.22 ((~v19(constB92)) | v18(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11569, 97, 11566])).
% 77.39/49.22 tff(11571,plain,
% 77.39/49.22 (~v19(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11570, 11562])).
% 77.39/49.22 tff(11572,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11573,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11574,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92)),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11573, 11572])).
% 77.39/49.22 tff(11575,plain,
% 77.39/49.22 (v13(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11574, 112, 11571])).
% 77.39/49.22 tff(11576,plain,
% 77.39/49.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11577,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11578,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91)),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11577, 11576])).
% 77.39/49.22 tff(11579,plain,
% 77.39/49.22 ((~v13(constB92)) | v9(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11578, 129, 10140])).
% 77.39/49.22 tff(11580,plain,
% 77.39/49.22 (v9(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11579, 11575])).
% 77.39/49.22 tff(11581,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v184(constB91))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB91) | (~v9(constB91)) | v184(constB91))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11582,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v184(constB91))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11583,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB91) | (~v9(constB91)) | v184(constB91)),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11582, 11581])).
% 77.39/49.22 tff(11584,plain,
% 77.39/49.22 ((~v9(constB91)) | v184(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11583, 11036, 10029])).
% 77.39/49.22 tff(11585,plain,
% 77.39/49.22 (v184(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11584, 11580])).
% 77.39/49.22 tff(11586,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB91) | (~v184(constB91)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB91) | (~v184(constB91)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11587,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB91) | (~v184(constB91)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11588,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB91) | (~v184(constB91))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 77.39/49.22 tff(11589,plain,
% 77.39/49.22 (v183(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11588, 11048, 11585])).
% 77.39/49.22 tff(11590,plain,
% 77.39/49.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB91)) | (~v183(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB91)) | (~v183(constB91)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11591,plain,
% 77.39/49.22 (((~v183(constB91)) | (~v181(constB91))) <=> ((~v181(constB91)) | (~v183(constB91)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11592,plain,
% 77.39/49.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB91)) | (~v181(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB91)) | (~v183(constB91))))),
% 77.39/49.22 inference(monotonicity,[status(thm)],[11591])).
% 77.39/49.22 tff(11593,plain,
% 77.39/49.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB91)) | (~v181(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB91)) | (~v183(constB91)))),
% 77.39/49.22 inference(transitivity,[status(thm)],[11592, 11590])).
% 77.39/49.22 tff(11594,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB91)) | (~v181(constB91)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11595,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB91)) | (~v183(constB91))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11594, 11593])).
% 77.39/49.22 tff(11596,plain,
% 77.39/49.22 (~v181(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11595, 11059, 11589])).
% 77.39/49.22 tff(11597,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB91) | v185(constB91) | (~v178(constB91)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB91) | v185(constB91) | (~v178(constB91)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11598,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB91) | v185(constB91) | (~v178(constB91)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11599,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB91) | v185(constB91) | (~v178(constB91))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11598, 11597])).
% 77.39/49.22 tff(11600,plain,
% 77.39/49.22 (v185(constB91) | (~v178(constB91))),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11599, 11073, 11596])).
% 77.39/49.22 tff(11601,plain,
% 77.39/49.22 (~v178(constB91)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11600, 11558])).
% 77.39/49.22 tff(11602,plain,
% 77.39/49.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11603,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11604,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 77.39/49.22 tff(11605,plain,
% 77.39/49.22 (v178(constB91) | (~v180(constB92))),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11604, 11088, 10140])).
% 77.39/49.22 tff(11606,plain,
% 77.39/49.22 (~v180(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11605, 11601])).
% 77.39/49.22 tff(11607,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB92) | (~v181(constB92)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB92) | (~v181(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11608,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB92) | (~v181(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11609,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB92) | (~v181(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 77.39/49.22 tff(11610,plain,
% 77.39/49.22 (~v181(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11609, 11100, 11606])).
% 77.39/49.22 tff(11611,plain,
% 77.39/49.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB92)) | (~v184(constB92)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB92)) | (~v184(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11612,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB92)) | (~v184(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11613,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB92)) | (~v184(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11612, 11611])).
% 77.39/49.22 tff(11614,plain,
% 77.39/49.22 (~v184(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11613, 11111, 10160])).
% 77.39/49.22 tff(11615,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB92) | (~v187(constB92)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB92) | (~v187(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11616,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB92) | (~v187(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11617,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB92) | (~v187(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 77.39/49.22 tff(11618,plain,
% 77.39/49.22 (~v187(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11617, 11122, 11614])).
% 77.39/49.22 tff(11619,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB92) | (~v185(constB92)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB92) | (~v185(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11620,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB92) | (~v185(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11621,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB92) | (~v185(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 77.39/49.22 tff(11622,plain,
% 77.39/49.22 (~v185(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11621, 11000, 11618])).
% 77.39/49.22 tff(11623,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB92) | v185(constB92) | (~v178(constB92)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB92) | v185(constB92) | (~v178(constB92)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11624,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB92) | v185(constB92) | (~v178(constB92)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11625,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB92) | v185(constB92) | (~v178(constB92))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11624, 11623])).
% 77.39/49.22 tff(11626,plain,
% 77.39/49.22 (v181(constB92) | (~v178(constB92))),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11625, 11073, 11622])).
% 77.39/49.22 tff(11627,plain,
% 77.39/49.22 (~v178(constB92)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11626, 11610])).
% 77.39/49.22 tff(11628,plain,
% 77.39/49.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11629,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11630,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11629, 11628])).
% 77.39/49.22 tff(11631,plain,
% 77.39/49.22 (v178(constB92) | (~v180(constB93))),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11630, 11088, 10206])).
% 77.39/49.22 tff(11632,plain,
% 77.39/49.22 (~v180(constB93)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11631, 11627])).
% 77.39/49.22 tff(11633,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB93) | (~v215(constB93)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB93) | (~v215(constB93)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11634,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB93) | (~v215(constB93)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11635,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB93) | (~v215(constB93))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 77.39/49.22 tff(11636,plain,
% 77.39/49.22 (~v215(constB93)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11635, 11147, 11632])).
% 77.39/49.22 tff(11637,plain,
% 77.39/49.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB93)) | (~v214(constB93)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB93)) | (~v214(constB93)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11638,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB93)) | (~v214(constB93)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11639,plain,
% 77.39/49.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB93)) | (~v214(constB93))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11638, 11637])).
% 77.39/49.22 tff(11640,plain,
% 77.39/49.22 (~v214(constB93)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11639, 11189, 11052])).
% 77.39/49.22 tff(11641,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB93) | v215(constB93) | (~v211(constB93)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB93) | v215(constB93) | (~v211(constB93)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11642,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB93) | v215(constB93) | (~v211(constB93)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11643,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB93) | v215(constB93) | (~v211(constB93))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 77.39/49.22 tff(11644,plain,
% 77.39/49.22 (v215(constB93) | (~v211(constB93))),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11643, 11203, 11640])).
% 77.39/49.22 tff(11645,plain,
% 77.39/49.22 (~v211(constB93)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11644, 11636])).
% 77.39/49.22 tff(11646,plain,
% 77.39/49.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11647,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11648,plain,
% 77.39/49.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 77.39/49.22 tff(11649,plain,
% 77.39/49.22 (v211(constB93) | (~v213(constB94))),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11648, 11218, 10340])).
% 77.39/49.22 tff(11650,plain,
% 77.39/49.22 (~v213(constB94)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11649, 11645])).
% 77.39/49.22 tff(11651,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB94) | (~v214(constB94)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB94) | (~v214(constB94)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11652,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB94) | (~v214(constB94)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11653,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB94) | (~v214(constB94))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 77.39/49.22 tff(11654,plain,
% 77.39/49.22 (~v214(constB94)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11653, 11230, 11650])).
% 77.39/49.22 tff(11655,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB94) | (~v217(constB94)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB94) | (~v217(constB94)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11656,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB94) | (~v217(constB94)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11657,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB94) | (~v217(constB94))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11656, 11655])).
% 77.39/49.22 tff(11658,plain,
% 77.39/49.22 (~v217(constB94)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11657, 11245, 11115])).
% 77.39/49.22 tff(11659,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB94) | (~v216(constB94)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB94) | (~v216(constB94)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11660,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB94) | (~v216(constB94)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11661,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB94) | (~v216(constB94))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11660, 11659])).
% 77.39/49.22 tff(11662,plain,
% 77.39/49.22 (~v216(constB94)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11661, 11256, 11658])).
% 77.39/49.22 tff(11663,plain,
% 77.39/49.22 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB94) | (~v215(constB94)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB94) | (~v215(constB94)))),
% 77.39/49.22 inference(rewrite,[status(thm)],[])).
% 77.39/49.22 tff(11664,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB94) | (~v215(constB94)))),
% 77.39/49.22 inference(quant_inst,[status(thm)],[])).
% 77.39/49.22 tff(11665,plain,
% 77.39/49.22 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB94) | (~v215(constB94))),
% 77.39/49.22 inference(modus_ponens,[status(thm)],[11664, 11663])).
% 77.39/49.22 tff(11666,plain,
% 77.39/49.22 (~v215(constB94)),
% 77.39/49.22 inference(unit_resolution,[status(thm)],[11665, 11267, 11662])).
% 77.39/49.23 tff(11667,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB94) | v215(constB94) | (~v211(constB94)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB94) | v215(constB94) | (~v211(constB94)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11668,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB94) | v215(constB94) | (~v211(constB94)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11669,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB94) | v215(constB94) | (~v211(constB94))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11668, 11667])).
% 77.39/49.23 tff(11670,plain,
% 77.39/49.23 (v214(constB94) | (~v211(constB94))),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11669, 11203, 11666])).
% 77.39/49.23 tff(11671,plain,
% 77.39/49.23 (~v211(constB94)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11670, 11654])).
% 77.39/49.23 tff(11672,plain,
% 77.39/49.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11673,plain,
% 77.39/49.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11674,plain,
% 77.39/49.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 77.39/49.23 tff(11675,plain,
% 77.39/49.23 (v211(constB94) | (~v213(constB95))),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11674, 11218, 10412])).
% 77.39/49.23 tff(11676,plain,
% 77.39/49.23 (~v213(constB95)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11675, 11671])).
% 77.39/49.23 tff(11677,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v213(VarCurr) | (~v245(VarCurr))) <=> (v213(VarCurr) | (~v245(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11678,plain,
% 77.39/49.23 (![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11677])).
% 77.39/49.23 tff(11679,plain,
% 77.39/49.23 (![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11680,axiom,(![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_68_1_1_3')).
% 77.39/49.23 tff(11681,plain,
% 77.39/49.23 (![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11680, 11679])).
% 77.39/49.23 tff(11682,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11681])).
% 77.39/49.23 tff(11683,plain,
% 77.39/49.23 (![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11682, 11678])).
% 77.39/49.23 tff(11684,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB95) | (~v245(constB95)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB95) | (~v245(constB95)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11685,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB95) | (~v245(constB95)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11686,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB95) | (~v245(constB95))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11685, 11684])).
% 77.39/49.23 tff(11687,plain,
% 77.39/49.23 (~v245(constB95)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11686, 11683, 11676])).
% 77.39/49.23 tff(11688,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v244(VarCurr))) <=> ((~v183(VarCurr)) | (~v244(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11689,plain,
% 77.39/49.23 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11688])).
% 77.39/49.23 tff(11690,plain,
% 77.39/49.23 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11691,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_1_3')).
% 77.39/49.23 tff(11692,plain,
% 77.39/49.23 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 77.39/49.23 tff(11693,plain,(
% 77.39/49.23 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11692])).
% 77.39/49.23 tff(11694,plain,
% 77.39/49.23 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11693, 11689])).
% 77.39/49.23 tff(11695,plain,
% 77.39/49.23 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB95)) | (~v244(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB95)) | (~v244(constB95)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11696,plain,
% 77.39/49.23 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB95)) | (~v244(constB95)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11697,plain,
% 77.39/49.23 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB95)) | (~v244(constB95))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11696, 11695])).
% 77.39/49.23 tff(11698,plain,
% 77.39/49.23 (~v244(constB95)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11697, 11694, 11182])).
% 77.39/49.23 tff(11699,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))) <=> (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11700,plain,
% 77.39/49.23 (![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))) <=> ![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11699])).
% 77.39/49.23 tff(11701,plain,
% 77.39/49.23 (![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))) <=> ![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11702,plain,
% 77.39/49.23 (^[VarCurr: $i] : trans(monotonicity(rewrite((v245(VarCurr) | v244(VarCurr)) <=> (v244(VarCurr) | v245(VarCurr))), (((v245(VarCurr) | v244(VarCurr)) | (~v241(VarCurr))) <=> ((v244(VarCurr) | v245(VarCurr)) | (~v241(VarCurr))))), rewrite(((v244(VarCurr) | v245(VarCurr)) | (~v241(VarCurr))) <=> (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))), (((v245(VarCurr) | v244(VarCurr)) | (~v241(VarCurr))) <=> (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11703,plain,
% 77.39/49.23 (![VarCurr: $i] : ((v245(VarCurr) | v244(VarCurr)) | (~v241(VarCurr))) <=> ![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11702])).
% 77.39/49.23 tff(11704,axiom,(![VarCurr: $i] : ((v245(VarCurr) | v244(VarCurr)) | (~v241(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_69_1_3')).
% 77.39/49.23 tff(11705,plain,
% 77.39/49.23 (![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 77.39/49.23 tff(11706,plain,
% 77.39/49.23 (![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11705, 11701])).
% 77.39/49.23 tff(11707,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11706])).
% 77.39/49.23 tff(11708,plain,
% 77.39/49.23 (![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11707, 11700])).
% 77.39/49.23 tff(11709,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB95) | v245(constB95) | (~v241(constB95)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB95) | v245(constB95) | (~v241(constB95)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11710,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB95) | v245(constB95) | (~v241(constB95)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11711,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB95) | v245(constB95) | (~v241(constB95))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 77.39/49.23 tff(11712,plain,
% 77.39/49.23 (v245(constB95) | (~v241(constB95))),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11711, 11708, 11698])).
% 77.39/49.23 tff(11713,plain,
% 77.39/49.23 (~v241(constB95)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11712, 11687])).
% 77.39/49.23 tff(11714,plain,
% 77.39/49.23 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11715,plain,
% 77.39/49.23 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11714])).
% 77.39/49.23 tff(11716,plain,
% 77.39/49.23 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11717,plain,
% 77.39/49.23 (^[VarNext: $i, VarCurr: $i] : rewrite(((v241(VarCurr) | (~v243(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11718,plain,
% 77.39/49.23 (![VarNext: $i, VarCurr: $i] : ((v241(VarCurr) | (~v243(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11717])).
% 77.39/49.23 tff(11719,axiom,(![VarNext: $i, VarCurr: $i] : ((v241(VarCurr) | (~v243(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_15_1_2')).
% 77.39/49.23 tff(11720,plain,
% 77.39/49.23 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11719, 11718])).
% 77.39/49.23 tff(11721,plain,
% 77.39/49.23 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11720, 11716])).
% 77.39/49.23 tff(11722,plain,(
% 77.39/49.23 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11721])).
% 77.39/49.23 tff(11723,plain,
% 77.39/49.23 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11722, 11715])).
% 77.39/49.23 tff(11724,plain,
% 77.39/49.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11725,plain,
% 77.39/49.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11726,plain,
% 77.39/49.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 77.39/49.23 tff(11727,plain,
% 77.39/49.23 (v241(constB95) | (~v243(constB96))),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11726, 11723, 10549])).
% 77.39/49.23 tff(11728,plain,
% 77.39/49.23 (~v243(constB96)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11727, 11713])).
% 77.39/49.23 tff(11729,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v243(VarCurr) | (~v244(VarCurr))) <=> (v243(VarCurr) | (~v244(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11730,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11729])).
% 77.39/49.23 tff(11731,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11732,axiom,(![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_1_2')).
% 77.39/49.23 tff(11733,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11732, 11731])).
% 77.39/49.23 tff(11734,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11733])).
% 77.39/49.23 tff(11735,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11734, 11730])).
% 77.39/49.23 tff(11736,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB96) | (~v244(constB96)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB96) | (~v244(constB96)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11737,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB96) | (~v244(constB96)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11738,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB96) | (~v244(constB96))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 77.39/49.23 tff(11739,plain,
% 77.39/49.23 (~v244(constB96)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11738, 11735, 11728])).
% 77.39/49.23 tff(11740,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v184(VarCurr) | (~v247(VarCurr))) <=> (v184(VarCurr) | (~v247(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11741,plain,
% 77.39/49.23 (![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11740])).
% 77.39/49.23 tff(11742,plain,
% 77.39/49.23 (![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11743,axiom,(![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_1_3')).
% 77.39/49.23 tff(11744,plain,
% 77.39/49.23 (![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11743, 11742])).
% 77.39/49.23 tff(11745,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11744])).
% 77.39/49.23 tff(11746,plain,
% 77.39/49.23 (![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11745, 11741])).
% 77.39/49.23 tff(11747,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB96) | (~v247(constB96)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB96) | (~v247(constB96)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11748,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB96) | (~v247(constB96)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11749,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB96) | (~v247(constB96))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 77.39/49.23 tff(11750,plain,
% 77.39/49.23 (~v247(constB96)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11749, 11746, 11238])).
% 77.39/49.23 tff(11751,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v247(VarCurr) | (~v246(VarCurr))) <=> (v247(VarCurr) | (~v246(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11752,plain,
% 77.39/49.23 (![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr))) <=> ![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11751])).
% 77.39/49.23 tff(11753,plain,
% 77.39/49.23 (![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr))) <=> ![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11754,axiom,(![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_1_2')).
% 77.39/49.23 tff(11755,plain,
% 77.39/49.23 (![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11754, 11753])).
% 77.39/49.23 tff(11756,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11755])).
% 77.39/49.23 tff(11757,plain,
% 77.39/49.23 (![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11756, 11752])).
% 77.39/49.23 tff(11758,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB96) | (~v246(constB96)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB96) | (~v246(constB96)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11759,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB96) | (~v246(constB96)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11760,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB96) | (~v246(constB96))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 77.39/49.23 tff(11761,plain,
% 77.39/49.23 (~v246(constB96)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11760, 11757, 11750])).
% 77.39/49.23 tff(11762,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v246(VarCurr) | (~v245(VarCurr))) <=> (v246(VarCurr) | (~v245(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11763,plain,
% 77.39/49.23 (![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11762])).
% 77.39/49.23 tff(11764,plain,
% 77.39/49.23 (![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11765,axiom,(![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_68_1_1_2')).
% 77.39/49.23 tff(11766,plain,
% 77.39/49.23 (![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 77.39/49.23 tff(11767,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11766])).
% 77.39/49.23 tff(11768,plain,
% 77.39/49.23 (![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11767, 11763])).
% 77.39/49.23 tff(11769,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB96) | (~v245(constB96)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB96) | (~v245(constB96)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11770,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB96) | (~v245(constB96)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11771,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB96) | (~v245(constB96))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11770, 11769])).
% 77.39/49.23 tff(11772,plain,
% 77.39/49.23 (~v245(constB96)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11771, 11768, 11761])).
% 77.39/49.23 tff(11773,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB96) | v245(constB96) | (~v241(constB96)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB96) | v245(constB96) | (~v241(constB96)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11774,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB96) | v245(constB96) | (~v241(constB96)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11775,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB96) | v245(constB96) | (~v241(constB96))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11774, 11773])).
% 77.39/49.23 tff(11776,plain,
% 77.39/49.23 (v244(constB96) | (~v241(constB96))),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11775, 11708, 11772])).
% 77.39/49.23 tff(11777,plain,
% 77.39/49.23 (~v241(constB96)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11776, 11739])).
% 77.39/49.23 tff(11778,plain,
% 77.39/49.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11779,plain,
% 77.39/49.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11780,plain,
% 77.39/49.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11779, 11778])).
% 77.39/49.23 tff(11781,plain,
% 77.39/49.23 (v241(constB96) | (~v243(constB97))),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11780, 11723, 10659])).
% 77.39/49.23 tff(11782,plain,
% 77.39/49.23 (~v243(constB97)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11781, 11777])).
% 77.39/49.23 tff(11783,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v243(VarCurr) | (~v302(VarCurr))) <=> (v243(VarCurr) | (~v302(VarCurr))))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11784,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11783])).
% 77.39/49.23 tff(11785,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11786,axiom,(![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_90_1_1_1_2')).
% 77.39/49.23 tff(11787,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 77.39/49.23 tff(11788,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11787])).
% 77.39/49.23 tff(11789,plain,
% 77.39/49.23 (![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11788, 11784])).
% 77.39/49.23 tff(11790,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB97) | (~v302(constB97)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB97) | (~v302(constB97)))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11791,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB97) | (~v302(constB97)))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11792,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB97) | (~v302(constB97))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11791, 11790])).
% 77.39/49.23 tff(11793,plain,
% 77.39/49.23 (~v302(constB97)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11792, 11789, 11782])).
% 77.39/49.23 tff(11794,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v292(VarCurr) | v302(VarCurr) | v290(VarCurr)) <=> (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11795,plain,
% 77.39/49.23 (![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)) <=> ![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11794])).
% 77.39/49.23 tff(11796,plain,
% 77.39/49.23 (![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)) <=> ![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11797,plain,
% 77.39/49.23 (^[VarCurr: $i] : rewrite(((v290(VarCurr) | v302(VarCurr)) | v292(VarCurr)) <=> (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11798,plain,
% 77.39/49.23 (![VarCurr: $i] : ((v290(VarCurr) | v302(VarCurr)) | v292(VarCurr)) <=> ![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11797])).
% 77.39/49.23 tff(11799,axiom,(![VarCurr: $i] : ((v290(VarCurr) | v302(VarCurr)) | v292(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_91_1_1_1_1')).
% 77.39/49.23 tff(11800,plain,
% 77.39/49.23 (![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 77.39/49.23 tff(11801,plain,
% 77.39/49.23 (![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11800, 11796])).
% 77.39/49.23 tff(11802,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11801])).
% 77.39/49.23 tff(11803,plain,
% 77.39/49.23 (![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11802, 11795])).
% 77.39/49.23 tff(11804,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB97) | v292(constB97) | v290(constB97))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB97) | v292(constB97) | v290(constB97))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11805,plain,
% 77.39/49.23 ((v292(constB97) | v302(constB97) | v290(constB97)) <=> (v302(constB97) | v292(constB97) | v290(constB97))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11806,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB97) | v302(constB97) | v290(constB97))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB97) | v292(constB97) | v290(constB97)))),
% 77.39/49.23 inference(monotonicity,[status(thm)],[11805])).
% 77.39/49.23 tff(11807,plain,
% 77.39/49.23 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB97) | v302(constB97) | v290(constB97))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB97) | v292(constB97) | v290(constB97))),
% 77.39/49.23 inference(transitivity,[status(thm)],[11806, 11804])).
% 77.39/49.23 tff(11808,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB97) | v302(constB97) | v290(constB97))),
% 77.39/49.23 inference(quant_inst,[status(thm)],[])).
% 77.39/49.23 tff(11809,plain,
% 77.39/49.23 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB97) | v292(constB97) | v290(constB97)),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11808, 11807])).
% 77.39/49.23 tff(11810,plain,
% 77.39/49.23 (v292(constB97) | v290(constB97)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11809, 11803, 11793])).
% 77.39/49.23 tff(11811,plain,
% 77.39/49.23 (v290(constB97)),
% 77.39/49.23 inference(unit_resolution,[status(thm)],[11810, 11456])).
% 77.39/49.23 tff(11812,plain,
% 77.39/49.23 (^[VarCurr: $i] : refl((v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr)) <=> (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr)))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11813,plain,
% 77.39/49.23 (![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr)) <=> ![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11812])).
% 77.39/49.23 tff(11814,plain,
% 77.39/49.23 (![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr)) <=> ![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(rewrite,[status(thm)],[])).
% 77.39/49.23 tff(11815,plain,
% 77.39/49.23 (^[VarCurr: $i] : rewrite(((v289(VarCurr) | v307(VarCurr)) | (~v290(VarCurr))) <=> (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr)))),
% 77.39/49.23 inference(bind,[status(th)],[])).
% 77.39/49.23 tff(11816,plain,
% 77.39/49.23 (![VarCurr: $i] : ((v289(VarCurr) | v307(VarCurr)) | (~v290(VarCurr))) <=> ![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(quant_intro,[status(thm)],[11815])).
% 77.39/49.23 tff(11817,axiom,(![VarCurr: $i] : ((v289(VarCurr) | v307(VarCurr)) | (~v290(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_93_1_1_1_1')).
% 77.39/49.23 tff(11818,plain,
% 77.39/49.23 (![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11817, 11816])).
% 77.39/49.23 tff(11819,plain,
% 77.39/49.23 (![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11818, 11814])).
% 77.39/49.23 tff(11820,plain,(
% 77.39/49.23 ![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(skolemize,[status(sab)],[11819])).
% 77.39/49.23 tff(11821,plain,
% 77.39/49.23 (![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))),
% 77.39/49.23 inference(modus_ponens,[status(thm)],[11820, 11813])).
% 77.39/49.24 tff(11822,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB97) | (~v290(constB97)) | v289(constB97))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB97) | (~v290(constB97)) | v289(constB97))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11823,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB97) | (~v290(constB97)) | v289(constB97))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11824,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB97) | (~v290(constB97)) | v289(constB97)),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11823, 11822])).
% 77.39/49.24 tff(11825,plain,
% 77.39/49.24 (v289(constB97)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11824, 11821, 11811, 10871])).
% 77.39/49.24 tff(11826,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11827,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11828,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 77.39/49.24 tff(11829,plain,
% 77.39/49.24 (~v88(constB85, bitIndex0)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11828, 10755, 9488])).
% 77.39/49.24 tff(11830,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11831,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11832,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 77.39/49.24 tff(11833,plain,
% 77.39/49.24 (v88(constB85, bitIndex2)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11832, 10735, 9372])).
% 77.39/49.24 tff(11834,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11835,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11836,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 77.39/49.24 tff(11837,plain,
% 77.39/49.24 (v88(constB85, bitIndex1)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11836, 10690, 9411])).
% 77.39/49.24 tff(11838,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | v144(constB85) | (~v88(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | v144(constB85) | (~v88(constB85, bitIndex1)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11839,plain,
% 77.39/49.24 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | v144(constB85) | (~v88(constB85, bitIndex1)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11840,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | v144(constB85) | (~v88(constB85, bitIndex1))))),
% 77.39/49.24 inference(monotonicity,[status(thm)],[11839])).
% 77.39/49.24 tff(11841,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | v144(constB85) | (~v88(constB85, bitIndex1)))),
% 77.39/49.24 inference(transitivity,[status(thm)],[11840, 11838])).
% 77.39/49.24 tff(11842,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11843,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | v144(constB85) | (~v88(constB85, bitIndex1))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 77.39/49.24 tff(11844,plain,
% 77.39/49.24 (v144(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11843, 10769, 11837, 11833, 11829])).
% 77.39/49.24 tff(11845,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11846,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11847,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 77.39/49.24 tff(11848,plain,
% 77.39/49.24 (v142(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11847, 10784, 11844])).
% 77.39/49.24 tff(11849,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB85) | (~v142(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11850,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB85) | (~v142(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11851,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB85) | (~v142(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 77.39/49.24 tff(11852,plain,
% 77.39/49.24 (v227(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11851, 10806, 11848])).
% 77.39/49.24 tff(11853,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB85) | (~v227(constB85)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB85) | (~v227(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11854,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB85) | (~v227(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11855,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB85) | (~v227(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 77.39/49.24 tff(11856,plain,
% 77.39/49.24 (v226(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11855, 10817, 11852])).
% 77.39/49.24 tff(11857,plain,
% 77.39/49.24 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))))),
% 77.39/49.24 inference(bind,[status(th)],[])).
% 77.39/49.24 tff(11858,plain,
% 77.39/49.24 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 77.39/49.24 inference(quant_intro,[status(thm)],[11857])).
% 77.39/49.24 tff(11859,plain,
% 77.39/49.24 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11860,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 77.39/49.24 tff(11861,plain,
% 77.39/49.24 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11860, 11859])).
% 77.39/49.24 tff(11862,plain,(
% 77.39/49.24 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 77.39/49.24 inference(skolemize,[status(sab)],[11861])).
% 77.39/49.24 tff(11863,plain,
% 77.39/49.24 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11862, 11858])).
% 77.39/49.24 tff(11864,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v139(constB85)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v139(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11865,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v139(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11866,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v139(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11865, 11864])).
% 77.39/49.24 tff(11867,plain,
% 77.39/49.24 (~v139(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11866, 11863, 11837])).
% 77.39/49.24 tff(11868,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v140(constB85)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v140(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11869,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v140(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11870,plain,
% 77.39/49.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v140(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11869, 11868])).
% 77.39/49.24 tff(11871,plain,
% 77.39/49.24 (~v140(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11870, 11526, 11837])).
% 77.39/49.24 tff(11872,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v168(constB85)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB85) | v139(constB85) | (~v168(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11873,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v168(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11874,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB85) | v139(constB85) | (~v168(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11873, 11872])).
% 77.39/49.24 tff(11875,plain,
% 77.39/49.24 (~v168(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11874, 10907, 11871, 11867])).
% 77.39/49.24 tff(11876,plain,
% 77.39/49.24 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB85)) | v168(constB85) | (~v226(constB85)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB85)) | v168(constB85) | (~v226(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11877,plain,
% 77.39/49.24 ((v168(constB85) | (~v226(constB85)) | (~v161(constB85))) <=> ((~v161(constB85)) | v168(constB85) | (~v226(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11878,plain,
% 77.39/49.24 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB85) | (~v226(constB85)) | (~v161(constB85)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB85)) | v168(constB85) | (~v226(constB85))))),
% 77.39/49.24 inference(monotonicity,[status(thm)],[11877])).
% 77.39/49.24 tff(11879,plain,
% 77.39/49.24 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB85) | (~v226(constB85)) | (~v161(constB85)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB85)) | v168(constB85) | (~v226(constB85)))),
% 77.39/49.24 inference(transitivity,[status(thm)],[11878, 11876])).
% 77.39/49.24 tff(11880,plain,
% 77.39/49.24 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB85) | (~v226(constB85)) | (~v161(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11881,plain,
% 77.39/49.24 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB85)) | v168(constB85) | (~v226(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11880, 11879])).
% 77.39/49.24 tff(11882,plain,
% 77.39/49.24 ((~v161(constB85)) | (~v226(constB85))),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11881, 10975, 11875])).
% 77.39/49.24 tff(11883,plain,
% 77.39/49.24 (~v161(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11882, 11856])).
% 77.39/49.24 tff(11884,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB85) | (~v187(constB85)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB85) | (~v187(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11885,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB85) | (~v187(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11886,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB85) | (~v187(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 77.39/49.24 tff(11887,plain,
% 77.39/49.24 (~v187(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11886, 10989, 11883])).
% 77.39/49.24 tff(11888,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB85) | (~v185(constB85)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB85) | (~v185(constB85)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11889,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB85) | (~v185(constB85)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11890,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB85) | (~v185(constB85))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11889, 11888])).
% 77.39/49.24 tff(11891,plain,
% 77.39/49.24 (~v185(constB85)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11890, 11000, 11887])).
% 77.39/49.24 tff(11892,assumption,(v18(constB86)), introduced(assumption)).
% 77.39/49.24 tff(11893,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB86))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11894,plain,
% 77.39/49.24 ($false),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11893, 70, 11892])).
% 77.39/49.24 tff(11895,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 77.39/49.24 tff(11896,plain,
% 77.39/49.24 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 77.39/49.24 inference(rewrite,[status(thm)],[])).
% 77.39/49.24 tff(11897,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 77.39/49.24 inference(quant_inst,[status(thm)],[])).
% 77.39/49.24 tff(11898,plain,
% 77.39/49.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 77.39/49.24 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 77.39/49.24 tff(11899,plain,
% 77.39/49.24 (v22(constB86)),
% 77.39/49.24 inference(unit_resolution,[status(thm)],[11898, 83, 9576])).
% 77.39/49.24 tff(11900,plain,
% 77.39/49.24 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11901,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11902,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11901, 11900])).
% 77.39/49.25 tff(11903,plain,
% 77.39/49.25 ((~v19(constB86)) | v18(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11902, 97, 11899])).
% 77.39/49.25 tff(11904,plain,
% 77.39/49.25 (~v19(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11903, 11895])).
% 77.39/49.25 tff(11905,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11906,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11907,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 77.39/49.25 tff(11908,plain,
% 77.39/49.25 (v13(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11907, 112, 11904])).
% 77.39/49.25 tff(11909,plain,
% 77.39/49.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11910,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11911,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 77.39/49.25 tff(11912,plain,
% 77.39/49.25 ((~v13(constB86)) | v9(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11911, 129, 9449])).
% 77.39/49.25 tff(11913,plain,
% 77.39/49.25 (v9(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11912, 11908])).
% 77.39/49.25 tff(11914,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v184(constB85))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB85) | (~v9(constB85)) | v184(constB85))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11915,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v184(constB85))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11916,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB85) | (~v9(constB85)) | v184(constB85)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 77.39/49.25 tff(11917,plain,
% 77.39/49.25 ((~v9(constB85)) | v184(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11916, 11036, 9348])).
% 77.39/49.25 tff(11918,plain,
% 77.39/49.25 (v184(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11917, 11913])).
% 77.39/49.25 tff(11919,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB85) | (~v184(constB85)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB85) | (~v184(constB85)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11920,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB85) | (~v184(constB85)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11921,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB85) | (~v184(constB85))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 77.39/49.25 tff(11922,plain,
% 77.39/49.25 (v183(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11921, 11048, 11918])).
% 77.39/49.25 tff(11923,plain,
% 77.39/49.25 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB85)) | (~v183(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB85)) | (~v183(constB85)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11924,plain,
% 77.39/49.25 (((~v183(constB85)) | (~v181(constB85))) <=> ((~v181(constB85)) | (~v183(constB85)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11925,plain,
% 77.39/49.25 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB85)) | (~v181(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB85)) | (~v183(constB85))))),
% 77.39/49.25 inference(monotonicity,[status(thm)],[11924])).
% 77.39/49.25 tff(11926,plain,
% 77.39/49.25 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB85)) | (~v181(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB85)) | (~v183(constB85)))),
% 77.39/49.25 inference(transitivity,[status(thm)],[11925, 11923])).
% 77.39/49.25 tff(11927,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB85)) | (~v181(constB85)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11928,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB85)) | (~v183(constB85))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11927, 11926])).
% 77.39/49.25 tff(11929,plain,
% 77.39/49.25 (~v181(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11928, 11059, 11922])).
% 77.39/49.25 tff(11930,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB85) | v185(constB85) | (~v178(constB85)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB85) | v185(constB85) | (~v178(constB85)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11931,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB85) | v185(constB85) | (~v178(constB85)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11932,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB85) | v185(constB85) | (~v178(constB85))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 77.39/49.25 tff(11933,plain,
% 77.39/49.25 (v185(constB85) | (~v178(constB85))),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11932, 11073, 11929])).
% 77.39/49.25 tff(11934,plain,
% 77.39/49.25 (~v178(constB85)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11933, 11891])).
% 77.39/49.25 tff(11935,plain,
% 77.39/49.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11936,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11937,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 77.39/49.25 tff(11938,plain,
% 77.39/49.25 (v178(constB85) | (~v180(constB86))),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11937, 11088, 9449])).
% 77.39/49.25 tff(11939,plain,
% 77.39/49.25 (~v180(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11938, 11934])).
% 77.39/49.25 tff(11940,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB86) | (~v181(constB86)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB86) | (~v181(constB86)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11941,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB86) | (~v181(constB86)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11942,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB86) | (~v181(constB86))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 77.39/49.25 tff(11943,plain,
% 77.39/49.25 (~v181(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11942, 11100, 11939])).
% 77.39/49.25 tff(11944,plain,
% 77.39/49.25 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB86)) | (~v184(constB86)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB86)) | (~v184(constB86)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11945,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB86)) | (~v184(constB86)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11946,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB86)) | (~v184(constB86))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 77.39/49.25 tff(11947,plain,
% 77.39/49.25 (~v184(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11946, 11111, 9576])).
% 77.39/49.25 tff(11948,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB86) | (~v187(constB86)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB86) | (~v187(constB86)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11949,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB86) | (~v187(constB86)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11950,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB86) | (~v187(constB86))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 77.39/49.25 tff(11951,plain,
% 77.39/49.25 (~v187(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11950, 11122, 11947])).
% 77.39/49.25 tff(11952,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB86) | (~v185(constB86)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB86) | (~v185(constB86)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11953,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB86) | (~v185(constB86)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11954,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB86) | (~v185(constB86))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 77.39/49.25 tff(11955,plain,
% 77.39/49.25 (~v185(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11954, 11000, 11951])).
% 77.39/49.25 tff(11956,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB86) | v185(constB86) | (~v178(constB86)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB86) | v185(constB86) | (~v178(constB86)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11957,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB86) | v185(constB86) | (~v178(constB86)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11958,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB86) | v185(constB86) | (~v178(constB86))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11957, 11956])).
% 77.39/49.25 tff(11959,plain,
% 77.39/49.25 (v181(constB86) | (~v178(constB86))),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11958, 11073, 11955])).
% 77.39/49.25 tff(11960,plain,
% 77.39/49.25 (~v178(constB86)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11959, 11943])).
% 77.39/49.25 tff(11961,plain,
% 77.39/49.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11962,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11963,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11962, 11961])).
% 77.39/49.25 tff(11964,plain,
% 77.39/49.25 (v178(constB86) | (~v180(constB87))),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11963, 11088, 9627])).
% 77.39/49.25 tff(11965,plain,
% 77.39/49.25 (~v180(constB87)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11964, 11960])).
% 77.39/49.25 tff(11966,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB87) | (~v215(constB87)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB87) | (~v215(constB87)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11967,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB87) | (~v215(constB87)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11968,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB87) | (~v215(constB87))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11967, 11966])).
% 77.39/49.25 tff(11969,plain,
% 77.39/49.25 (~v215(constB87)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11968, 11147, 11965])).
% 77.39/49.25 tff(11970,assumption,(v18(constB88)), introduced(assumption)).
% 77.39/49.25 tff(11971,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB88))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11972,plain,
% 77.39/49.25 ($false),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11971, 70, 11970])).
% 77.39/49.25 tff(11973,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 77.39/49.25 tff(11974,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11975,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11976,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11975, 11974])).
% 77.39/49.25 tff(11977,plain,
% 77.39/49.25 (v22(constB88)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11976, 83, 9762])).
% 77.39/49.25 tff(11978,plain,
% 77.39/49.25 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11979,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11980,plain,
% 77.39/49.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11979, 11978])).
% 77.39/49.25 tff(11981,plain,
% 77.39/49.25 ((~v19(constB88)) | v18(constB88)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11980, 97, 11977])).
% 77.39/49.25 tff(11982,plain,
% 77.39/49.25 (~v19(constB88)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11981, 11973])).
% 77.39/49.25 tff(11983,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11984,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11985,plain,
% 77.39/49.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 77.39/49.25 tff(11986,plain,
% 77.39/49.25 (v13(constB88)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11985, 112, 11982])).
% 77.39/49.25 tff(11987,plain,
% 77.39/49.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 77.39/49.25 inference(rewrite,[status(thm)],[])).
% 77.39/49.25 tff(11988,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 77.39/49.25 inference(quant_inst,[status(thm)],[])).
% 77.39/49.25 tff(11989,plain,
% 77.39/49.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87)),
% 77.39/49.25 inference(modus_ponens,[status(thm)],[11988, 11987])).
% 77.39/49.25 tff(11990,plain,
% 77.39/49.25 ((~v13(constB88)) | v9(constB87)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11989, 129, 9742])).
% 77.39/49.25 tff(11991,plain,
% 77.39/49.25 (v9(constB87)),
% 77.39/49.25 inference(unit_resolution,[status(thm)],[11990, 11986])).
% 77.39/49.25 tff(11992,plain,
% 77.39/49.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v184(constB87))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB87) | (~v9(constB87)) | v184(constB87))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(11993,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v184(constB87))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(11994,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB87) | (~v9(constB87)) | v184(constB87)),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 77.39/49.26 tff(11995,plain,
% 77.39/49.26 ((~v9(constB87)) | v184(constB87)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[11994, 11036, 9624])).
% 77.39/49.26 tff(11996,plain,
% 77.39/49.26 (v184(constB87)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[11995, 11991])).
% 77.39/49.26 tff(11997,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB87) | (~v184(constB87)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB87) | (~v184(constB87)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(11998,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB87) | (~v184(constB87)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(11999,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB87) | (~v184(constB87))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[11998, 11997])).
% 77.39/49.26 tff(12000,plain,
% 77.39/49.26 (v183(constB87)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[11999, 11048, 11996])).
% 77.39/49.26 tff(12001,plain,
% 77.39/49.26 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB87)) | (~v214(constB87)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB87)) | (~v214(constB87)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12002,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB87)) | (~v214(constB87)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12003,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB87)) | (~v214(constB87))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 77.39/49.26 tff(12004,plain,
% 77.39/49.26 (~v214(constB87)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12003, 11189, 12000])).
% 77.39/49.26 tff(12005,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB87) | v215(constB87) | (~v211(constB87)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB87) | v215(constB87) | (~v211(constB87)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12006,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB87) | v215(constB87) | (~v211(constB87)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12007,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB87) | v215(constB87) | (~v211(constB87))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 77.39/49.26 tff(12008,plain,
% 77.39/49.26 (v215(constB87) | (~v211(constB87))),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12007, 11203, 12004])).
% 77.39/49.26 tff(12009,plain,
% 77.39/49.26 (~v211(constB87)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12008, 11969])).
% 77.39/49.26 tff(12010,plain,
% 77.39/49.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB87, constB88)) | v211(constB87) | (~v213(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB87, constB88)) | v211(constB87) | (~v213(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12011,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB87, constB88)) | v211(constB87) | (~v213(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12012,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB87, constB88)) | v211(constB87) | (~v213(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 77.39/49.26 tff(12013,plain,
% 77.39/49.26 (v211(constB87) | (~v213(constB88))),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12012, 11218, 9742])).
% 77.39/49.26 tff(12014,plain,
% 77.39/49.26 (~v213(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12013, 12009])).
% 77.39/49.26 tff(12015,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB88) | (~v214(constB88)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB88) | (~v214(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12016,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB88) | (~v214(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12017,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB88) | (~v214(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 77.39/49.26 tff(12018,plain,
% 77.39/49.26 (~v214(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12017, 11230, 12014])).
% 77.39/49.26 tff(12019,plain,
% 77.39/49.26 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB88)) | (~v184(constB88)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB88)) | (~v184(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12020,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB88)) | (~v184(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12021,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB88)) | (~v184(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 77.39/49.26 tff(12022,plain,
% 77.39/49.26 (~v184(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12021, 11111, 9762])).
% 77.39/49.26 tff(12023,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB88) | (~v217(constB88)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB88) | (~v217(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12024,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB88) | (~v217(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12025,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB88) | (~v217(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 77.39/49.26 tff(12026,plain,
% 77.39/49.26 (~v217(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12025, 11245, 12022])).
% 77.39/49.26 tff(12027,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB88) | (~v216(constB88)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB88) | (~v216(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12028,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB88) | (~v216(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12029,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB88) | (~v216(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 77.39/49.26 tff(12030,plain,
% 77.39/49.26 (~v216(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12029, 11256, 12026])).
% 77.39/49.26 tff(12031,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB88) | (~v215(constB88)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB88) | (~v215(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12032,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB88) | (~v215(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12033,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB88) | (~v215(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 77.39/49.26 tff(12034,plain,
% 77.39/49.26 (~v215(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12033, 11267, 12030])).
% 77.39/49.26 tff(12035,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB88) | v215(constB88) | (~v211(constB88)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB88) | v215(constB88) | (~v211(constB88)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12036,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB88) | v215(constB88) | (~v211(constB88)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12037,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB88) | v215(constB88) | (~v211(constB88))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12036, 12035])).
% 77.39/49.26 tff(12038,plain,
% 77.39/49.26 (v214(constB88) | (~v211(constB88))),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12037, 11203, 12034])).
% 77.39/49.26 tff(12039,plain,
% 77.39/49.26 (~v211(constB88)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12038, 12018])).
% 77.39/49.26 tff(12040,plain,
% 77.39/49.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB88, constB89)) | v211(constB88) | (~v213(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB88, constB89)) | v211(constB88) | (~v213(constB89)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12041,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB88, constB89)) | v211(constB88) | (~v213(constB89)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12042,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB88, constB89)) | v211(constB88) | (~v213(constB89))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12041, 12040])).
% 77.39/49.26 tff(12043,plain,
% 77.39/49.26 (v211(constB88) | (~v213(constB89))),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12042, 11218, 9807])).
% 77.39/49.26 tff(12044,plain,
% 77.39/49.26 (~v213(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12043, 12039])).
% 77.39/49.26 tff(12045,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB89) | (~v245(constB89)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB89) | (~v245(constB89)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12046,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB89) | (~v245(constB89)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12047,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB89) | (~v245(constB89))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 77.39/49.26 tff(12048,plain,
% 77.39/49.26 (~v245(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12047, 11683, 12044])).
% 77.39/49.26 tff(12049,assumption,(v18(constB90)), introduced(assumption)).
% 77.39/49.26 tff(12050,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB90))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12051,plain,
% 77.39/49.26 ($false),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12050, 70, 12049])).
% 77.39/49.26 tff(12052,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 77.39/49.26 tff(12053,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12054,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12055,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 77.39/49.26 tff(12056,plain,
% 77.39/49.26 (v22(constB90)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12055, 83, 9966])).
% 77.39/49.26 tff(12057,plain,
% 77.39/49.26 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12058,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12059,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90)),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 77.39/49.26 tff(12060,plain,
% 77.39/49.26 ((~v19(constB90)) | v18(constB90)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12059, 97, 12056])).
% 77.39/49.26 tff(12061,plain,
% 77.39/49.26 (~v19(constB90)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12060, 12052])).
% 77.39/49.26 tff(12062,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12063,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12064,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12063, 12062])).
% 77.39/49.26 tff(12065,plain,
% 77.39/49.26 (v13(constB90)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12064, 112, 12061])).
% 77.39/49.26 tff(12066,plain,
% 77.39/49.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12067,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12068,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89)),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 77.39/49.26 tff(12069,plain,
% 77.39/49.26 ((~v13(constB90)) | v9(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12068, 129, 9913])).
% 77.39/49.26 tff(12070,plain,
% 77.39/49.26 (v9(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12069, 12065])).
% 77.39/49.26 tff(12071,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v184(constB89))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB89) | (~v9(constB89)) | v184(constB89))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12072,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v184(constB89))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12073,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB89) | (~v9(constB89)) | v184(constB89)),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12072, 12071])).
% 77.39/49.26 tff(12074,plain,
% 77.39/49.26 ((~v9(constB89)) | v184(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12073, 11036, 9804])).
% 77.39/49.26 tff(12075,plain,
% 77.39/49.26 (v184(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12074, 12070])).
% 77.39/49.26 tff(12076,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB89) | (~v184(constB89)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB89) | (~v184(constB89)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12077,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB89) | (~v184(constB89)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12078,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB89) | (~v184(constB89))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12077, 12076])).
% 77.39/49.26 tff(12079,plain,
% 77.39/49.26 (v183(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12078, 11048, 12075])).
% 77.39/49.26 tff(12080,plain,
% 77.39/49.26 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB89)) | (~v244(constB89)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB89)) | (~v244(constB89)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12081,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB89)) | (~v244(constB89)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12082,plain,
% 77.39/49.26 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB89)) | (~v244(constB89))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12081, 12080])).
% 77.39/49.26 tff(12083,plain,
% 77.39/49.26 (~v244(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12082, 11694, 12079])).
% 77.39/49.26 tff(12084,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB89) | v245(constB89) | (~v241(constB89)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB89) | v245(constB89) | (~v241(constB89)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12085,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB89) | v245(constB89) | (~v241(constB89)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12086,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB89) | v245(constB89) | (~v241(constB89))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12085, 12084])).
% 77.39/49.26 tff(12087,plain,
% 77.39/49.26 (v245(constB89) | (~v241(constB89))),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12086, 11708, 12083])).
% 77.39/49.26 tff(12088,plain,
% 77.39/49.26 (~v241(constB89)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12087, 12048])).
% 77.39/49.26 tff(12089,plain,
% 77.39/49.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB89, constB90)) | v241(constB89) | (~v243(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB89, constB90)) | v241(constB89) | (~v243(constB90)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12090,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB89, constB90)) | v241(constB89) | (~v243(constB90)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12091,plain,
% 77.39/49.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB89, constB90)) | v241(constB89) | (~v243(constB90))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 77.39/49.26 tff(12092,plain,
% 77.39/49.26 (v241(constB89) | (~v243(constB90))),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12091, 11723, 9913])).
% 77.39/49.26 tff(12093,plain,
% 77.39/49.26 (~v243(constB90)),
% 77.39/49.26 inference(unit_resolution,[status(thm)],[12092, 12088])).
% 77.39/49.26 tff(12094,plain,
% 77.39/49.26 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB90) | (~v244(constB90)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB90) | (~v244(constB90)))),
% 77.39/49.26 inference(rewrite,[status(thm)],[])).
% 77.39/49.26 tff(12095,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB90) | (~v244(constB90)))),
% 77.39/49.26 inference(quant_inst,[status(thm)],[])).
% 77.39/49.26 tff(12096,plain,
% 77.39/49.26 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB90) | (~v244(constB90))),
% 77.39/49.26 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 77.46/49.27 tff(12097,plain,
% 77.46/49.27 (~v244(constB90)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12096, 11735, 12093])).
% 77.46/49.27 tff(12098,plain,
% 77.46/49.27 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB90)) | (~v184(constB90)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB90)) | (~v184(constB90)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12099,plain,
% 77.46/49.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB90)) | (~v184(constB90)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12100,plain,
% 77.46/49.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB90)) | (~v184(constB90))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 77.46/49.27 tff(12101,plain,
% 77.46/49.27 (~v184(constB90)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12100, 11111, 9966])).
% 77.46/49.27 tff(12102,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB90) | (~v247(constB90)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB90) | (~v247(constB90)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12103,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB90) | (~v247(constB90)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12104,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB90) | (~v247(constB90))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 77.46/49.27 tff(12105,plain,
% 77.46/49.27 (~v247(constB90)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12104, 11746, 12101])).
% 77.46/49.27 tff(12106,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB90) | (~v246(constB90)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB90) | (~v246(constB90)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12107,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB90) | (~v246(constB90)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12108,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB90) | (~v246(constB90))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 77.46/49.27 tff(12109,plain,
% 77.46/49.27 (~v246(constB90)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12108, 11757, 12105])).
% 77.46/49.27 tff(12110,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB90) | (~v245(constB90)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB90) | (~v245(constB90)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12111,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB90) | (~v245(constB90)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12112,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB90) | (~v245(constB90))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 77.46/49.27 tff(12113,plain,
% 77.46/49.27 (~v245(constB90)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12112, 11768, 12109])).
% 77.46/49.27 tff(12114,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB90) | v245(constB90) | (~v241(constB90)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB90) | v245(constB90) | (~v241(constB90)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12115,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB90) | v245(constB90) | (~v241(constB90)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12116,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB90) | v245(constB90) | (~v241(constB90))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 77.46/49.27 tff(12117,plain,
% 77.46/49.27 (v244(constB90) | (~v241(constB90))),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12116, 11708, 12113])).
% 77.46/49.27 tff(12118,plain,
% 77.46/49.27 (~v241(constB90)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12117, 12097])).
% 77.46/49.27 tff(12119,plain,
% 77.46/49.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB90, constB91)) | v241(constB90) | (~v243(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB90, constB91)) | v241(constB90) | (~v243(constB91)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12120,plain,
% 77.46/49.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB90, constB91)) | v241(constB90) | (~v243(constB91)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12121,plain,
% 77.46/49.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB90, constB91)) | v241(constB90) | (~v243(constB91))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12120, 12119])).
% 77.46/49.27 tff(12122,plain,
% 77.46/49.27 (v241(constB90) | (~v243(constB91))),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12121, 11723, 10032])).
% 77.46/49.27 tff(12123,plain,
% 77.46/49.27 (~v243(constB91)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12122, 12118])).
% 77.46/49.27 tff(12124,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v243(VarCurr) | (~v260(VarCurr))) <=> (v243(VarCurr) | (~v260(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12125,plain,
% 77.46/49.27 (![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12124])).
% 77.46/49.27 tff(12126,plain,
% 77.46/49.27 (![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12127,axiom,(![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_1_3')).
% 77.46/49.27 tff(12128,plain,
% 77.46/49.27 (![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 77.46/49.27 tff(12129,plain,(
% 77.46/49.27 ![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12128])).
% 77.46/49.27 tff(12130,plain,
% 77.46/49.27 (![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12129, 12125])).
% 77.46/49.27 tff(12131,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB91) | (~v260(constB91)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB91) | (~v260(constB91)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12132,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB91) | (~v260(constB91)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12133,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB91) | (~v260(constB91))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 77.46/49.27 tff(12134,plain,
% 77.46/49.27 (~v260(constB91)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12133, 12130, 12123])).
% 77.46/49.27 tff(12135,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v259(VarCurr))) <=> ((~v183(VarCurr)) | (~v259(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12136,plain,
% 77.46/49.27 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12135])).
% 77.46/49.27 tff(12137,plain,
% 77.46/49.27 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12138,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_3')).
% 77.46/49.27 tff(12139,plain,
% 77.46/49.27 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12138, 12137])).
% 77.46/49.27 tff(12140,plain,(
% 77.46/49.27 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12139])).
% 77.46/49.27 tff(12141,plain,
% 77.46/49.27 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12140, 12136])).
% 77.46/49.27 tff(12142,plain,
% 77.46/49.27 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB91)) | (~v259(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB91)) | (~v259(constB91)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12143,plain,
% 77.46/49.27 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB91)) | (~v259(constB91)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12144,plain,
% 77.46/49.27 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB91)) | (~v259(constB91))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 77.46/49.27 tff(12145,plain,
% 77.46/49.27 (~v259(constB91)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12144, 12141, 11589])).
% 77.46/49.27 tff(12146,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))) <=> (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12147,plain,
% 77.46/49.27 (![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))) <=> ![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12146])).
% 77.46/49.27 tff(12148,plain,
% 77.46/49.27 (![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))) <=> ![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12149,plain,
% 77.46/49.27 (^[VarCurr: $i] : trans(monotonicity(rewrite((v260(VarCurr) | v259(VarCurr)) <=> (v259(VarCurr) | v260(VarCurr))), (((v260(VarCurr) | v259(VarCurr)) | (~v256(VarCurr))) <=> ((v259(VarCurr) | v260(VarCurr)) | (~v256(VarCurr))))), rewrite(((v259(VarCurr) | v260(VarCurr)) | (~v256(VarCurr))) <=> (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))), (((v260(VarCurr) | v259(VarCurr)) | (~v256(VarCurr))) <=> (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12150,plain,
% 77.46/49.27 (![VarCurr: $i] : ((v260(VarCurr) | v259(VarCurr)) | (~v256(VarCurr))) <=> ![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12149])).
% 77.46/49.27 tff(12151,axiom,(![VarCurr: $i] : ((v260(VarCurr) | v259(VarCurr)) | (~v256(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_74_1_3')).
% 77.46/49.27 tff(12152,plain,
% 77.46/49.27 (![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12151, 12150])).
% 77.46/49.27 tff(12153,plain,
% 77.46/49.27 (![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12152, 12148])).
% 77.46/49.27 tff(12154,plain,(
% 77.46/49.27 ![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12153])).
% 77.46/49.27 tff(12155,plain,
% 77.46/49.27 (![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12154, 12147])).
% 77.46/49.27 tff(12156,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB91) | v260(constB91) | (~v256(constB91)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB91) | v260(constB91) | (~v256(constB91)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12157,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB91) | v260(constB91) | (~v256(constB91)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12158,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB91) | v260(constB91) | (~v256(constB91))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 77.46/49.27 tff(12159,plain,
% 77.46/49.27 (v260(constB91) | (~v256(constB91))),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12158, 12155, 12145])).
% 77.46/49.27 tff(12160,plain,
% 77.46/49.27 (~v256(constB91)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12159, 12134])).
% 77.46/49.27 tff(12161,plain,
% 77.46/49.27 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12162,plain,
% 77.46/49.27 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12161])).
% 77.46/49.27 tff(12163,plain,
% 77.46/49.27 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12164,plain,
% 77.46/49.27 (^[VarNext: $i, VarCurr: $i] : rewrite(((v256(VarCurr) | (~v258(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12165,plain,
% 77.46/49.27 (![VarNext: $i, VarCurr: $i] : ((v256(VarCurr) | (~v258(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12164])).
% 77.46/49.27 tff(12166,axiom,(![VarNext: $i, VarCurr: $i] : ((v256(VarCurr) | (~v258(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_16_1_2')).
% 77.46/49.27 tff(12167,plain,
% 77.46/49.27 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12166, 12165])).
% 77.46/49.27 tff(12168,plain,
% 77.46/49.27 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12167, 12163])).
% 77.46/49.27 tff(12169,plain,(
% 77.46/49.27 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12168])).
% 77.46/49.27 tff(12170,plain,
% 77.46/49.27 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12169, 12162])).
% 77.46/49.27 tff(12171,plain,
% 77.46/49.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB91, constB92)) | v256(constB91) | (~v258(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB91, constB92)) | v256(constB91) | (~v258(constB92)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12172,plain,
% 77.46/49.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB91, constB92)) | v256(constB91) | (~v258(constB92)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12173,plain,
% 77.46/49.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB91, constB92)) | v256(constB91) | (~v258(constB92))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 77.46/49.27 tff(12174,plain,
% 77.46/49.27 (v256(constB91) | (~v258(constB92))),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12173, 12170, 10140])).
% 77.46/49.27 tff(12175,plain,
% 77.46/49.27 (~v258(constB92)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12174, 12160])).
% 77.46/49.27 tff(12176,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v258(VarCurr) | (~v259(VarCurr))) <=> (v258(VarCurr) | (~v259(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12177,plain,
% 77.46/49.27 (![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr))) <=> ![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12176])).
% 77.46/49.27 tff(12178,plain,
% 77.46/49.27 (![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr))) <=> ![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12179,axiom,(![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_2')).
% 77.46/49.27 tff(12180,plain,
% 77.46/49.27 (![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12179, 12178])).
% 77.46/49.27 tff(12181,plain,(
% 77.46/49.27 ![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12180])).
% 77.46/49.27 tff(12182,plain,
% 77.46/49.27 (![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12181, 12177])).
% 77.46/49.27 tff(12183,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB92) | (~v259(constB92)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB92) | (~v259(constB92)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12184,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB92) | (~v259(constB92)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12185,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB92) | (~v259(constB92))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 77.46/49.27 tff(12186,plain,
% 77.46/49.27 (~v259(constB92)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12185, 12182, 12175])).
% 77.46/49.27 tff(12187,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v184(VarCurr) | (~v262(VarCurr))) <=> (v184(VarCurr) | (~v262(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12188,plain,
% 77.46/49.27 (![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12187])).
% 77.46/49.27 tff(12189,plain,
% 77.46/49.27 (![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12190,axiom,(![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_71_1_1_3')).
% 77.46/49.27 tff(12191,plain,
% 77.46/49.27 (![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 77.46/49.27 tff(12192,plain,(
% 77.46/49.27 ![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12191])).
% 77.46/49.27 tff(12193,plain,
% 77.46/49.27 (![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12192, 12188])).
% 77.46/49.27 tff(12194,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB92) | (~v262(constB92)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB92) | (~v262(constB92)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12195,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB92) | (~v262(constB92)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12196,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB92) | (~v262(constB92))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 77.46/49.27 tff(12197,plain,
% 77.46/49.27 (~v262(constB92)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12196, 12193, 11614])).
% 77.46/49.27 tff(12198,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v262(VarCurr) | (~v261(VarCurr))) <=> (v262(VarCurr) | (~v261(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12199,plain,
% 77.46/49.27 (![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr))) <=> ![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12198])).
% 77.46/49.27 tff(12200,plain,
% 77.46/49.27 (![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr))) <=> ![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12201,axiom,(![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_72_1_1_2')).
% 77.46/49.27 tff(12202,plain,
% 77.46/49.27 (![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12201, 12200])).
% 77.46/49.27 tff(12203,plain,(
% 77.46/49.27 ![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12202])).
% 77.46/49.27 tff(12204,plain,
% 77.46/49.27 (![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12203, 12199])).
% 77.46/49.27 tff(12205,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB92) | (~v261(constB92)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB92) | (~v261(constB92)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12206,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB92) | (~v261(constB92)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12207,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB92) | (~v261(constB92))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12206, 12205])).
% 77.46/49.27 tff(12208,plain,
% 77.46/49.27 (~v261(constB92)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12207, 12204, 12197])).
% 77.46/49.27 tff(12209,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v261(VarCurr) | (~v260(VarCurr))) <=> (v261(VarCurr) | (~v260(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.27 tff(12210,plain,
% 77.46/49.27 (![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(quant_intro,[status(thm)],[12209])).
% 77.46/49.27 tff(12211,plain,
% 77.46/49.27 (![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12212,axiom,(![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_1_2')).
% 77.46/49.27 tff(12213,plain,
% 77.46/49.27 (![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 77.46/49.27 tff(12214,plain,(
% 77.46/49.27 ![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(skolemize,[status(sab)],[12213])).
% 77.46/49.27 tff(12215,plain,
% 77.46/49.27 (![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12214, 12210])).
% 77.46/49.27 tff(12216,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB92) | (~v260(constB92)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB92) | (~v260(constB92)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12217,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB92) | (~v260(constB92)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12218,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB92) | (~v260(constB92))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12217, 12216])).
% 77.46/49.27 tff(12219,plain,
% 77.46/49.27 (~v260(constB92)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12218, 12215, 12208])).
% 77.46/49.27 tff(12220,plain,
% 77.46/49.27 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB92) | v260(constB92) | (~v256(constB92)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB92) | v260(constB92) | (~v256(constB92)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12221,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB92) | v260(constB92) | (~v256(constB92)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12222,plain,
% 77.46/49.27 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB92) | v260(constB92) | (~v256(constB92))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 77.46/49.27 tff(12223,plain,
% 77.46/49.27 (v259(constB92) | (~v256(constB92))),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12222, 12155, 12219])).
% 77.46/49.27 tff(12224,plain,
% 77.46/49.27 (~v256(constB92)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12223, 12186])).
% 77.46/49.27 tff(12225,plain,
% 77.46/49.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB92, constB93)) | v256(constB92) | (~v258(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB92, constB93)) | v256(constB92) | (~v258(constB93)))),
% 77.46/49.27 inference(rewrite,[status(thm)],[])).
% 77.46/49.27 tff(12226,plain,
% 77.46/49.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB92, constB93)) | v256(constB92) | (~v258(constB93)))),
% 77.46/49.27 inference(quant_inst,[status(thm)],[])).
% 77.46/49.27 tff(12227,plain,
% 77.46/49.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB92, constB93)) | v256(constB92) | (~v258(constB93))),
% 77.46/49.27 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 77.46/49.27 tff(12228,plain,
% 77.46/49.27 (v256(constB92) | (~v258(constB93))),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12227, 12170, 10206])).
% 77.46/49.27 tff(12229,plain,
% 77.46/49.27 (~v258(constB93)),
% 77.46/49.27 inference(unit_resolution,[status(thm)],[12228, 12224])).
% 77.46/49.27 tff(12230,plain,
% 77.46/49.27 (^[VarCurr: $i] : refl((v258(VarCurr) | (~v271(VarCurr))) <=> (v258(VarCurr) | (~v271(VarCurr))))),
% 77.46/49.27 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12231,plain,
% 77.46/49.28 (![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12230])).
% 77.46/49.28 tff(12232,plain,
% 77.46/49.28 (![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12233,axiom,(![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_76_1_1_2')).
% 77.46/49.28 tff(12234,plain,
% 77.46/49.28 (![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 77.46/49.28 tff(12235,plain,(
% 77.46/49.28 ![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12234])).
% 77.46/49.28 tff(12236,plain,
% 77.46/49.28 (![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12235, 12231])).
% 77.46/49.28 tff(12237,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB93) | (~v271(constB93)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB93) | (~v271(constB93)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12238,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB93) | (~v271(constB93)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12239,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB93) | (~v271(constB93))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 77.46/49.28 tff(12240,plain,
% 77.46/49.28 (~v271(constB93)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12239, 12236, 12229])).
% 77.46/49.28 tff(12241,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v270(VarCurr))) <=> ((~v183(VarCurr)) | (~v270(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12242,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12241])).
% 77.46/49.28 tff(12243,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12244,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_75_1_1_3')).
% 77.46/49.28 tff(12245,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 77.46/49.28 tff(12246,plain,(
% 77.46/49.28 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12245])).
% 77.46/49.28 tff(12247,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12246, 12242])).
% 77.46/49.28 tff(12248,plain,
% 77.46/49.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB93)) | (~v270(constB93)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB93)) | (~v270(constB93)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12249,plain,
% 77.46/49.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB93)) | (~v270(constB93)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12250,plain,
% 77.46/49.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB93)) | (~v270(constB93))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 77.46/49.28 tff(12251,plain,
% 77.46/49.28 (~v270(constB93)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12250, 12247, 11052])).
% 77.46/49.28 tff(12252,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl((v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr))) <=> (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12253,plain,
% 77.46/49.28 (![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr))) <=> ![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12252])).
% 77.46/49.28 tff(12254,plain,
% 77.46/49.28 (![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr))) <=> ![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12255,plain,
% 77.46/49.28 (^[VarCurr: $i] : trans(monotonicity(rewrite((v271(VarCurr) | v270(VarCurr)) <=> (v271(VarCurr) | v270(VarCurr))), (((v271(VarCurr) | v270(VarCurr)) | (~v267(VarCurr))) <=> ((v271(VarCurr) | v270(VarCurr)) | (~v267(VarCurr))))), rewrite(((v271(VarCurr) | v270(VarCurr)) | (~v267(VarCurr))) <=> (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))), (((v271(VarCurr) | v270(VarCurr)) | (~v267(VarCurr))) <=> (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12256,plain,
% 77.46/49.28 (![VarCurr: $i] : ((v271(VarCurr) | v270(VarCurr)) | (~v267(VarCurr))) <=> ![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12255])).
% 77.46/49.28 tff(12257,axiom,(![VarCurr: $i] : ((v271(VarCurr) | v270(VarCurr)) | (~v267(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_77_1_3')).
% 77.46/49.28 tff(12258,plain,
% 77.46/49.28 (![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12257, 12256])).
% 77.46/49.28 tff(12259,plain,
% 77.46/49.28 (![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12258, 12254])).
% 77.46/49.28 tff(12260,plain,(
% 77.46/49.28 ![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12259])).
% 77.46/49.28 tff(12261,plain,
% 77.46/49.28 (![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12260, 12253])).
% 77.46/49.28 tff(12262,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB93)) | v271(constB93) | v270(constB93))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB93)) | v271(constB93) | v270(constB93))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12263,plain,
% 77.46/49.28 ((v271(constB93) | v270(constB93) | (~v267(constB93))) <=> ((~v267(constB93)) | v271(constB93) | v270(constB93))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12264,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB93) | v270(constB93) | (~v267(constB93)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB93)) | v271(constB93) | v270(constB93)))),
% 77.46/49.28 inference(monotonicity,[status(thm)],[12263])).
% 77.46/49.28 tff(12265,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB93) | v270(constB93) | (~v267(constB93)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB93)) | v271(constB93) | v270(constB93))),
% 77.46/49.28 inference(transitivity,[status(thm)],[12264, 12262])).
% 77.46/49.28 tff(12266,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB93) | v270(constB93) | (~v267(constB93)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12267,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB93)) | v271(constB93) | v270(constB93)),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 77.46/49.28 tff(12268,plain,
% 77.46/49.28 ((~v267(constB93)) | v271(constB93)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12267, 12261, 12251])).
% 77.46/49.28 tff(12269,plain,
% 77.46/49.28 (~v267(constB93)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12268, 12240])).
% 77.46/49.28 tff(12270,plain,
% 77.46/49.28 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12271,plain,
% 77.46/49.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12270])).
% 77.46/49.28 tff(12272,plain,
% 77.46/49.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12273,plain,
% 77.46/49.28 (^[VarNext: $i, VarCurr: $i] : rewrite(((v267(VarCurr) | (~v269(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12274,plain,
% 77.46/49.28 (![VarNext: $i, VarCurr: $i] : ((v267(VarCurr) | (~v269(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12273])).
% 77.46/49.28 tff(12275,axiom,(![VarNext: $i, VarCurr: $i] : ((v267(VarCurr) | (~v269(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_17_1_2')).
% 77.46/49.28 tff(12276,plain,
% 77.46/49.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 77.46/49.28 tff(12277,plain,
% 77.46/49.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12276, 12272])).
% 77.46/49.28 tff(12278,plain,(
% 77.46/49.28 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12277])).
% 77.46/49.28 tff(12279,plain,
% 77.46/49.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12278, 12271])).
% 77.46/49.28 tff(12280,plain,
% 77.46/49.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB93, constB94)) | v267(constB93) | (~v269(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB93, constB94)) | v267(constB93) | (~v269(constB94)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12281,plain,
% 77.46/49.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB93, constB94)) | v267(constB93) | (~v269(constB94)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12282,plain,
% 77.46/49.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB93, constB94)) | v267(constB93) | (~v269(constB94))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12281, 12280])).
% 77.46/49.28 tff(12283,plain,
% 77.46/49.28 (v267(constB93) | (~v269(constB94))),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12282, 12279, 10340])).
% 77.46/49.28 tff(12284,plain,
% 77.46/49.28 (~v269(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12283, 12269])).
% 77.46/49.28 tff(12285,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl((v269(VarCurr) | (~v270(VarCurr))) <=> (v269(VarCurr) | (~v270(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12286,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr))) <=> ![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12285])).
% 77.46/49.28 tff(12287,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr))) <=> ![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12288,axiom,(![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_75_1_1_2')).
% 77.46/49.28 tff(12289,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 77.46/49.28 tff(12290,plain,(
% 77.46/49.28 ![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12289])).
% 77.46/49.28 tff(12291,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12290, 12286])).
% 77.46/49.28 tff(12292,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB94) | (~v270(constB94)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB94) | (~v270(constB94)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12293,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB94) | (~v270(constB94)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12294,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB94) | (~v270(constB94))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 77.46/49.28 tff(12295,plain,
% 77.46/49.28 (~v270(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12294, 12291, 12284])).
% 77.46/49.28 tff(12296,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB94) | (~v262(constB94)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB94) | (~v262(constB94)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12297,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB94) | (~v262(constB94)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12298,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB94) | (~v262(constB94))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 77.46/49.28 tff(12299,plain,
% 77.46/49.28 (~v262(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12298, 12193, 11115])).
% 77.46/49.28 tff(12300,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB94) | (~v261(constB94)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB94) | (~v261(constB94)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12301,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB94) | (~v261(constB94)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12302,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB94) | (~v261(constB94))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12301, 12300])).
% 77.46/49.28 tff(12303,plain,
% 77.46/49.28 (~v261(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12302, 12204, 12299])).
% 77.46/49.28 tff(12304,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl((v261(VarCurr) | (~v271(VarCurr))) <=> (v261(VarCurr) | (~v271(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12305,plain,
% 77.46/49.28 (![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12304])).
% 77.46/49.28 tff(12306,plain,
% 77.46/49.28 (![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12307,axiom,(![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_76_1_1_3')).
% 77.46/49.28 tff(12308,plain,
% 77.46/49.28 (![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12307, 12306])).
% 77.46/49.28 tff(12309,plain,(
% 77.46/49.28 ![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12308])).
% 77.46/49.28 tff(12310,plain,
% 77.46/49.28 (![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12309, 12305])).
% 77.46/49.28 tff(12311,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB94) | (~v271(constB94)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB94) | (~v271(constB94)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12312,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB94) | (~v271(constB94)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12313,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB94) | (~v271(constB94))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 77.46/49.28 tff(12314,plain,
% 77.46/49.28 (~v271(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12313, 12310, 12303])).
% 77.46/49.28 tff(12315,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB94)) | v271(constB94) | v270(constB94))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB94)) | v271(constB94) | v270(constB94))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12316,plain,
% 77.46/49.28 ((v271(constB94) | v270(constB94) | (~v267(constB94))) <=> ((~v267(constB94)) | v271(constB94) | v270(constB94))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12317,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB94) | v270(constB94) | (~v267(constB94)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB94)) | v271(constB94) | v270(constB94)))),
% 77.46/49.28 inference(monotonicity,[status(thm)],[12316])).
% 77.46/49.28 tff(12318,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB94) | v270(constB94) | (~v267(constB94)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB94)) | v271(constB94) | v270(constB94))),
% 77.46/49.28 inference(transitivity,[status(thm)],[12317, 12315])).
% 77.46/49.28 tff(12319,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB94) | v270(constB94) | (~v267(constB94)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12320,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB94)) | v271(constB94) | v270(constB94)),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12319, 12318])).
% 77.46/49.28 tff(12321,plain,
% 77.46/49.28 ((~v267(constB94)) | v270(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12320, 12261, 12314])).
% 77.46/49.28 tff(12322,plain,
% 77.46/49.28 (~v267(constB94)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12321, 12295])).
% 77.46/49.28 tff(12323,plain,
% 77.46/49.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB94, constB95)) | v267(constB94) | (~v269(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB94, constB95)) | v267(constB94) | (~v269(constB95)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12324,plain,
% 77.46/49.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB94, constB95)) | v267(constB94) | (~v269(constB95)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12325,plain,
% 77.46/49.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB94, constB95)) | v267(constB94) | (~v269(constB95))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12324, 12323])).
% 77.46/49.28 tff(12326,plain,
% 77.46/49.28 (v267(constB94) | (~v269(constB95))),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12325, 12279, 10412])).
% 77.46/49.28 tff(12327,plain,
% 77.46/49.28 (~v269(constB95)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12326, 12322])).
% 77.46/49.28 tff(12328,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl((v269(VarCurr) | (~v282(VarCurr))) <=> (v269(VarCurr) | (~v282(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12329,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12328])).
% 77.46/49.28 tff(12330,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12331,axiom,(![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79_1_1_2')).
% 77.46/49.28 tff(12332,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12331, 12330])).
% 77.46/49.28 tff(12333,plain,(
% 77.46/49.28 ![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12332])).
% 77.46/49.28 tff(12334,plain,
% 77.46/49.28 (![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12333, 12329])).
% 77.46/49.28 tff(12335,plain,
% 77.46/49.28 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB95) | (~v282(constB95)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB95) | (~v282(constB95)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12336,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB95) | (~v282(constB95)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12337,plain,
% 77.46/49.28 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB95) | (~v282(constB95))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 77.46/49.28 tff(12338,plain,
% 77.46/49.28 (~v282(constB95)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12337, 12334, 12327])).
% 77.46/49.28 tff(12339,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v281(VarCurr))) <=> ((~v183(VarCurr)) | (~v281(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12340,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12339])).
% 77.46/49.28 tff(12341,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12342,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_3')).
% 77.46/49.28 tff(12343,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 77.46/49.28 tff(12344,plain,(
% 77.46/49.28 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12343])).
% 77.46/49.28 tff(12345,plain,
% 77.46/49.28 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12344, 12340])).
% 77.46/49.28 tff(12346,plain,
% 77.46/49.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB95)) | (~v281(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB95)) | (~v281(constB95)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12347,plain,
% 77.46/49.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB95)) | (~v281(constB95)))),
% 77.46/49.28 inference(quant_inst,[status(thm)],[])).
% 77.46/49.28 tff(12348,plain,
% 77.46/49.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB95)) | (~v281(constB95))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 77.46/49.28 tff(12349,plain,
% 77.46/49.28 (~v281(constB95)),
% 77.46/49.28 inference(unit_resolution,[status(thm)],[12348, 12345, 11182])).
% 77.46/49.28 tff(12350,plain,
% 77.46/49.28 (^[VarCurr: $i] : refl((v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr))) <=> (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12351,plain,
% 77.46/49.28 (![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr))) <=> ![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12350])).
% 77.46/49.28 tff(12352,plain,
% 77.46/49.28 (![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr))) <=> ![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(rewrite,[status(thm)],[])).
% 77.46/49.28 tff(12353,plain,
% 77.46/49.28 (^[VarCurr: $i] : trans(monotonicity(rewrite((v282(VarCurr) | v281(VarCurr)) <=> (v282(VarCurr) | v281(VarCurr))), (((v282(VarCurr) | v281(VarCurr)) | (~v278(VarCurr))) <=> ((v282(VarCurr) | v281(VarCurr)) | (~v278(VarCurr))))), rewrite(((v282(VarCurr) | v281(VarCurr)) | (~v278(VarCurr))) <=> (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))), (((v282(VarCurr) | v281(VarCurr)) | (~v278(VarCurr))) <=> (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))))),
% 77.46/49.28 inference(bind,[status(th)],[])).
% 77.46/49.28 tff(12354,plain,
% 77.46/49.28 (![VarCurr: $i] : ((v282(VarCurr) | v281(VarCurr)) | (~v278(VarCurr))) <=> ![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(quant_intro,[status(thm)],[12353])).
% 77.46/49.28 tff(12355,axiom,(![VarCurr: $i] : ((v282(VarCurr) | v281(VarCurr)) | (~v278(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80_1_3')).
% 77.46/49.28 tff(12356,plain,
% 77.46/49.28 (![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12355, 12354])).
% 77.46/49.28 tff(12357,plain,
% 77.46/49.28 (![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12356, 12352])).
% 77.46/49.28 tff(12358,plain,(
% 77.46/49.28 ![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(skolemize,[status(sab)],[12357])).
% 77.46/49.28 tff(12359,plain,
% 77.46/49.28 (![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))),
% 77.46/49.28 inference(modus_ponens,[status(thm)],[12358, 12351])).
% 77.46/49.29 tff(12360,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB95)) | v281(constB95) | v282(constB95))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB95)) | v281(constB95) | v282(constB95))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12361,plain,
% 77.46/49.29 ((v282(constB95) | v281(constB95) | (~v278(constB95))) <=> ((~v278(constB95)) | v281(constB95) | v282(constB95))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12362,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB95) | v281(constB95) | (~v278(constB95)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB95)) | v281(constB95) | v282(constB95)))),
% 77.46/49.29 inference(monotonicity,[status(thm)],[12361])).
% 77.46/49.29 tff(12363,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB95) | v281(constB95) | (~v278(constB95)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB95)) | v281(constB95) | v282(constB95))),
% 77.46/49.29 inference(transitivity,[status(thm)],[12362, 12360])).
% 77.46/49.29 tff(12364,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB95) | v281(constB95) | (~v278(constB95)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12365,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB95)) | v281(constB95) | v282(constB95)),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 77.46/49.29 tff(12366,plain,
% 77.46/49.29 ((~v278(constB95)) | v282(constB95)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12365, 12359, 12349])).
% 77.46/49.29 tff(12367,plain,
% 77.46/49.29 (~v278(constB95)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12366, 12338])).
% 77.46/49.29 tff(12368,plain,
% 77.46/49.29 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12369,plain,
% 77.46/49.29 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12368])).
% 77.46/49.29 tff(12370,plain,
% 77.46/49.29 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12371,plain,
% 77.46/49.29 (^[VarNext: $i, VarCurr: $i] : rewrite(((v278(VarCurr) | (~v280(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12372,plain,
% 77.46/49.29 (![VarNext: $i, VarCurr: $i] : ((v278(VarCurr) | (~v280(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12371])).
% 77.46/49.29 tff(12373,axiom,(![VarNext: $i, VarCurr: $i] : ((v278(VarCurr) | (~v280(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_18_1_2')).
% 77.46/49.29 tff(12374,plain,
% 77.46/49.29 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 77.46/49.29 tff(12375,plain,
% 77.46/49.29 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12374, 12370])).
% 77.46/49.29 tff(12376,plain,(
% 77.46/49.29 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(skolemize,[status(sab)],[12375])).
% 77.46/49.29 tff(12377,plain,
% 77.46/49.29 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12376, 12369])).
% 77.46/49.29 tff(12378,plain,
% 77.46/49.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB95, constB96)) | v278(constB95) | (~v280(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB95, constB96)) | v278(constB95) | (~v280(constB96)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12379,plain,
% 77.46/49.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB95, constB96)) | v278(constB95) | (~v280(constB96)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12380,plain,
% 77.46/49.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB95, constB96)) | v278(constB95) | (~v280(constB96))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12379, 12378])).
% 77.46/49.29 tff(12381,plain,
% 77.46/49.29 (v278(constB95) | (~v280(constB96))),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12380, 12377, 10549])).
% 77.46/49.29 tff(12382,plain,
% 77.46/49.29 (~v280(constB96)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12381, 12367])).
% 77.46/49.29 tff(12383,plain,
% 77.46/49.29 (^[VarCurr: $i] : refl((v280(VarCurr) | (~v281(VarCurr))) <=> (v280(VarCurr) | (~v281(VarCurr))))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12384,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr))) <=> ![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12383])).
% 77.46/49.29 tff(12385,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr))) <=> ![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12386,axiom,(![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_2')).
% 77.46/49.29 tff(12387,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12386, 12385])).
% 77.46/49.29 tff(12388,plain,(
% 77.46/49.29 ![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))),
% 77.46/49.29 inference(skolemize,[status(sab)],[12387])).
% 77.46/49.29 tff(12389,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12388, 12384])).
% 77.46/49.29 tff(12390,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB96) | (~v281(constB96)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB96) | (~v281(constB96)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12391,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB96) | (~v281(constB96)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12392,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB96) | (~v281(constB96))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12391, 12390])).
% 77.46/49.29 tff(12393,plain,
% 77.46/49.29 (~v281(constB96)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12392, 12389, 12382])).
% 77.46/49.29 tff(12394,plain,
% 77.46/49.29 (^[VarCurr: $i] : refl((v216(VarCurr) | (~v282(VarCurr))) <=> (v216(VarCurr) | (~v282(VarCurr))))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12395,plain,
% 77.46/49.29 (![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12394])).
% 77.46/49.29 tff(12396,plain,
% 77.46/49.29 (![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12397,axiom,(![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79_1_1_3')).
% 77.46/49.29 tff(12398,plain,
% 77.46/49.29 (![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12397, 12396])).
% 77.46/49.29 tff(12399,plain,(
% 77.46/49.29 ![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.29 inference(skolemize,[status(sab)],[12398])).
% 77.46/49.29 tff(12400,plain,
% 77.46/49.29 (![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12399, 12395])).
% 77.46/49.29 tff(12401,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB96) | (~v282(constB96)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB96) | (~v282(constB96)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12402,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB96) | (~v282(constB96)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12403,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB96) | (~v282(constB96))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 77.46/49.29 tff(12404,plain,
% 77.46/49.29 (~v282(constB96)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12403, 12400, 11260])).
% 77.46/49.29 tff(12405,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB96)) | v282(constB96) | v281(constB96))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB96)) | v282(constB96) | v281(constB96))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12406,plain,
% 77.46/49.29 ((v282(constB96) | v281(constB96) | (~v278(constB96))) <=> ((~v278(constB96)) | v282(constB96) | v281(constB96))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12407,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB96) | v281(constB96) | (~v278(constB96)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB96)) | v282(constB96) | v281(constB96)))),
% 77.46/49.29 inference(monotonicity,[status(thm)],[12406])).
% 77.46/49.29 tff(12408,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB96) | v281(constB96) | (~v278(constB96)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB96)) | v282(constB96) | v281(constB96))),
% 77.46/49.29 inference(transitivity,[status(thm)],[12407, 12405])).
% 77.46/49.29 tff(12409,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB96) | v281(constB96) | (~v278(constB96)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12410,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB96)) | v282(constB96) | v281(constB96)),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12409, 12408])).
% 77.46/49.29 tff(12411,plain,
% 77.46/49.29 ((~v278(constB96)) | v281(constB96)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12410, 12359, 12404])).
% 77.46/49.29 tff(12412,plain,
% 77.46/49.29 (~v278(constB96)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12411, 12393])).
% 77.46/49.29 tff(12413,plain,
% 77.46/49.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB96, constB97)) | v278(constB96) | (~v280(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB96, constB97)) | v278(constB96) | (~v280(constB97)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12414,plain,
% 77.46/49.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB96, constB97)) | v278(constB96) | (~v280(constB97)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12415,plain,
% 77.46/49.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB96, constB97)) | v278(constB96) | (~v280(constB97))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 77.46/49.29 tff(12416,plain,
% 77.46/49.29 (v278(constB96) | (~v280(constB97))),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12415, 12377, 10659])).
% 77.46/49.29 tff(12417,plain,
% 77.46/49.29 (~v280(constB97)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12416, 12412])).
% 77.46/49.29 tff(12418,plain,
% 77.46/49.29 (^[VarCurr: $i] : refl((v280(VarCurr) | (~v309(VarCurr))) <=> (v280(VarCurr) | (~v309(VarCurr))))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12419,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12418])).
% 77.46/49.29 tff(12420,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12421,axiom,(![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_96_1_1_1_2')).
% 77.46/49.29 tff(12422,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12421, 12420])).
% 77.46/49.29 tff(12423,plain,(
% 77.46/49.29 ![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))),
% 77.46/49.29 inference(skolemize,[status(sab)],[12422])).
% 77.46/49.29 tff(12424,plain,
% 77.46/49.29 (![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12423, 12419])).
% 77.46/49.29 tff(12425,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB97) | (~v309(constB97)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB97) | (~v309(constB97)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12426,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB97) | (~v309(constB97)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12427,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB97) | (~v309(constB97))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12426, 12425])).
% 77.46/49.29 tff(12428,plain,
% 77.46/49.29 (~v309(constB97)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12427, 12424, 12417])).
% 77.46/49.29 tff(12429,plain,
% 77.46/49.29 (^[VarCurr: $i] : refl((v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr)) <=> (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr)))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12430,plain,
% 77.46/49.29 (![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr)) <=> ![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12429])).
% 77.46/49.29 tff(12431,plain,
% 77.46/49.29 (![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr)) <=> ![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12432,plain,
% 77.46/49.29 (^[VarCurr: $i] : rewrite(((v288(VarCurr) | v309(VarCurr)) | (~v289(VarCurr))) <=> (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr)))),
% 77.46/49.29 inference(bind,[status(th)],[])).
% 77.46/49.29 tff(12433,plain,
% 77.46/49.29 (![VarCurr: $i] : ((v288(VarCurr) | v309(VarCurr)) | (~v289(VarCurr))) <=> ![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(quant_intro,[status(thm)],[12432])).
% 77.46/49.29 tff(12434,axiom,(![VarCurr: $i] : ((v288(VarCurr) | v309(VarCurr)) | (~v289(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_97_1_1_1_1')).
% 77.46/49.29 tff(12435,plain,
% 77.46/49.29 (![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12434, 12433])).
% 77.46/49.29 tff(12436,plain,
% 77.46/49.29 (![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12435, 12431])).
% 77.46/49.29 tff(12437,plain,(
% 77.46/49.29 ![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(skolemize,[status(sab)],[12436])).
% 77.46/49.29 tff(12438,plain,
% 77.46/49.29 (![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12437, 12430])).
% 77.46/49.29 tff(12439,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB97) | v288(constB97) | (~v289(constB97)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB97) | v288(constB97) | (~v289(constB97)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12440,plain,
% 77.46/49.29 ((v309(constB97) | (~v289(constB97)) | v288(constB97)) <=> (v309(constB97) | v288(constB97) | (~v289(constB97)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12441,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB97) | (~v289(constB97)) | v288(constB97))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB97) | v288(constB97) | (~v289(constB97))))),
% 77.46/49.29 inference(monotonicity,[status(thm)],[12440])).
% 77.46/49.29 tff(12442,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB97) | (~v289(constB97)) | v288(constB97))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB97) | v288(constB97) | (~v289(constB97)))),
% 77.46/49.29 inference(transitivity,[status(thm)],[12441, 12439])).
% 77.46/49.29 tff(12443,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB97) | (~v289(constB97)) | v288(constB97))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12444,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB97) | v288(constB97) | (~v289(constB97))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 77.46/49.29 tff(12445,plain,
% 77.46/49.29 (v288(constB97) | (~v289(constB97))),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12444, 12438, 12428])).
% 77.46/49.29 tff(12446,plain,
% 77.46/49.29 (v288(constB97)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12445, 11825])).
% 77.46/49.29 tff(12447,plain,
% 77.46/49.29 ($false),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12446, 6])).
% 77.46/49.29 tff(12448,plain,((~(constB97 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 77.46/49.29 tff(12449,plain,
% 77.46/49.29 (~(constB97 = sK0_VarCurr)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12448, 1])).
% 77.46/49.29 tff(12450,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 77.46/49.29 tff(12451,plain,
% 77.46/49.29 (v288(constB161) <=> v288(sK0_VarCurr)),
% 77.46/49.29 inference(monotonicity,[status(thm)],[12450])).
% 77.46/49.29 tff(12452,plain,
% 77.46/49.29 (v288(sK0_VarCurr) <=> v288(constB161)),
% 77.46/49.29 inference(symmetry,[status(thm)],[12451])).
% 77.46/49.29 tff(12453,plain,
% 77.46/49.29 ((~v288(sK0_VarCurr)) <=> (~v288(constB161))),
% 77.46/49.29 inference(monotonicity,[status(thm)],[12452])).
% 77.46/49.29 tff(12454,plain,
% 77.46/49.29 (~v288(constB161)),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[1, 12453])).
% 77.46/49.29 tff(12455,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12456,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12457,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 77.46/49.29 tff(12458,plain,
% 77.46/49.29 ((~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12457, 2156, 10748])).
% 77.46/49.29 tff(12459,plain,
% 77.46/49.29 (v125(constB97)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12458, 10725, 10680])).
% 77.46/49.29 tff(12460,plain,
% 77.46/49.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97)))),
% 77.46/49.29 inference(rewrite,[status(thm)],[])).
% 77.46/49.29 tff(12461,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12462,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97))),
% 77.46/49.29 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 77.46/49.29 tff(12463,plain,
% 77.46/49.29 (v113(constB97)),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12462, 2167, 12459])).
% 77.46/49.29 tff(12464,assumption,(v26(constB97)), introduced(assumption)).
% 77.46/49.29 tff(12465,plain,
% 77.46/49.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 77.46/49.29 inference(quant_inst,[status(thm)],[])).
% 77.46/49.29 tff(12466,plain,
% 77.46/49.29 ($false),
% 77.46/49.29 inference(unit_resolution,[status(thm)],[12465, 14, 12464])).
% 77.46/49.29 tff(12467,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 77.46/49.29 tff(12468,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12469,plain,
% 77.46/49.30 ((v26(constB97) | (~v113(constB97)) | v112(constB97)) <=> (v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12470,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97))))),
% 77.46/49.30 inference(monotonicity,[status(thm)],[12469])).
% 77.46/49.30 tff(12471,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 77.46/49.30 inference(transitivity,[status(thm)],[12470, 12468])).
% 77.46/49.30 tff(12472,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12473,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 77.46/49.30 tff(12474,plain,
% 77.46/49.30 (v112(constB97) | (~v113(constB97))),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12473, 555, 12467])).
% 77.46/49.30 tff(12475,plain,
% 77.46/49.30 (v112(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12474, 12463])).
% 77.46/49.30 tff(12476,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12477,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12478,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12477, 12476])).
% 77.46/49.30 tff(12479,plain,
% 77.46/49.30 (v108(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12478, 464, 12475])).
% 77.46/49.30 tff(12480,plain,
% 77.46/49.30 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12481,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 77.46/49.30 tff(12482,plain,
% 77.46/49.30 (nextState(constB97, constB98)),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12481, 12480])).
% 77.46/49.30 tff(12483,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12484,plain,
% 77.46/49.30 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12485,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 77.46/49.30 inference(monotonicity,[status(thm)],[12484])).
% 77.46/49.30 tff(12486,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 77.46/49.30 inference(transitivity,[status(thm)],[12485, 12483])).
% 77.46/49.30 tff(12487,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12488,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12487, 12486])).
% 77.46/49.30 tff(12489,plain,
% 77.46/49.30 (v110(constB98) | (~v108(constB97))),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12488, 571, 12482])).
% 77.46/49.30 tff(12490,plain,
% 77.46/49.30 (v110(constB98)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12489, 12479])).
% 77.46/49.30 tff(12491,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12492,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12493,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 77.46/49.30 tff(12494,plain,
% 77.46/49.30 (~v104(constB98)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12493, 589, 12482, 10656])).
% 77.46/49.30 tff(12495,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12496,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12497,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12496, 12495])).
% 77.46/49.30 tff(12498,plain,
% 77.46/49.30 (v102(constB98) | v104(constB98)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12497, 603, 12482])).
% 77.46/49.30 tff(12499,plain,
% 77.46/49.30 (v102(constB98)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12498, 12494])).
% 77.46/49.30 tff(12500,plain,
% 77.46/49.30 (v1(constB98) <=> v1(constB98)),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12501,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 77.46/49.30 tff(12502,plain,
% 77.46/49.30 (v1(constB98)),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 77.46/49.30 tff(12503,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12504,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12505,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 77.46/49.30 tff(12506,plain,
% 77.46/49.30 (v101(constB98) | (~v102(constB98))),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12505, 621, 12482, 12502])).
% 77.46/49.30 tff(12507,plain,
% 77.46/49.30 (v101(constB98)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12506, 12499])).
% 77.46/49.30 tff(12508,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12509,plain,
% 77.46/49.30 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12510,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 77.46/49.30 inference(monotonicity,[status(thm)],[12509])).
% 77.46/49.30 tff(12511,plain,
% 77.46/49.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 77.46/49.30 inference(transitivity,[status(thm)],[12510, 12508])).
% 77.46/49.30 tff(12512,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12513,plain,
% 77.46/49.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12512, 12511])).
% 77.46/49.30 tff(12514,plain,
% 77.46/49.30 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12513, 636, 12482])).
% 77.46/49.30 tff(12515,plain,
% 77.46/49.30 (v100(constB98) | (~v110(constB98))),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12514, 12507])).
% 77.46/49.30 tff(12516,plain,
% 77.46/49.30 (v100(constB98)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12515, 12490])).
% 77.46/49.30 tff(12517,plain,
% 77.46/49.30 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12518,plain,
% 77.46/49.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12519,plain,
% 77.46/49.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12518, 12517])).
% 77.46/49.30 tff(12520,plain,
% 77.46/49.30 (~v119(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12519, 2243, 10680])).
% 77.46/49.30 tff(12521,plain,
% 77.46/49.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12522,plain,
% 77.46/49.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12523,plain,
% 77.46/49.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 77.46/49.30 tff(12524,plain,
% 77.46/49.30 (~v123(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12523, 2265, 10680])).
% 77.46/49.30 tff(12525,plain,
% 77.46/49.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12526,plain,
% 77.46/49.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12527,plain,
% 77.46/49.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12526, 12525])).
% 77.46/49.30 tff(12528,plain,
% 77.46/49.30 (~v121(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12527, 2218, 10725])).
% 77.46/49.30 tff(12529,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB97, bitIndex0) | (~v122(constB97)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB97, bitIndex0) | (~v122(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12530,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB97, bitIndex0) | (~v122(constB97)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12531,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB97, bitIndex0) | (~v122(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12530, 12529])).
% 77.46/49.30 tff(12532,plain,
% 77.46/49.30 (~v122(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12531, 7632, 10748])).
% 77.46/49.30 tff(12533,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB97, bitIndex0) | (~v124(constB97)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB97, bitIndex0) | (~v124(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12534,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB97, bitIndex0) | (~v124(constB97)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12535,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB97, bitIndex0) | (~v124(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12534, 12533])).
% 77.46/49.30 tff(12536,plain,
% 77.46/49.30 (~v124(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12535, 7487, 10748])).
% 77.46/49.30 tff(12537,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB97, bitIndex0) | (~v120(constB97)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB97, bitIndex0) | (~v120(constB97)))),
% 77.46/49.30 inference(rewrite,[status(thm)],[])).
% 77.46/49.30 tff(12538,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB97, bitIndex0) | (~v120(constB97)))),
% 77.46/49.30 inference(quant_inst,[status(thm)],[])).
% 77.46/49.30 tff(12539,plain,
% 77.46/49.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB97, bitIndex0) | (~v120(constB97))),
% 77.46/49.30 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 77.46/49.30 tff(12540,plain,
% 77.46/49.30 (~v120(constB97)),
% 77.46/49.30 inference(unit_resolution,[status(thm)],[12539, 7524, 10748])).
% 77.46/49.30 tff(12541,plain,
% 77.46/49.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12542,plain,
% 77.46/49.31 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12543,plain,
% 77.46/49.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))))),
% 77.46/49.31 inference(monotonicity,[status(thm)],[12542])).
% 77.46/49.31 tff(12544,plain,
% 77.46/49.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 77.46/49.31 inference(transitivity,[status(thm)],[12543, 12541])).
% 77.46/49.31 tff(12545,plain,
% 77.46/49.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12546,plain,
% 77.46/49.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12545, 12544])).
% 77.46/49.31 tff(12547,plain,
% 77.46/49.31 (v123(constB97) | v121(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12546, 2290, 12540, 12536, 12532])).
% 77.46/49.31 tff(12548,plain,
% 77.46/49.31 (~v130(constB97, bitIndex2)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12547, 12528, 12524, 12520])).
% 77.46/49.31 tff(12549,plain,
% 77.46/49.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12550,plain,
% 77.46/49.31 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12551,plain,
% 77.46/49.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 77.46/49.31 inference(monotonicity,[status(thm)],[12550])).
% 77.46/49.31 tff(12552,plain,
% 77.46/49.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 77.46/49.31 inference(transitivity,[status(thm)],[12551, 12549])).
% 77.46/49.31 tff(12553,plain,
% 77.46/49.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12554,plain,
% 77.46/49.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 77.46/49.31 tff(12555,plain,
% 77.46/49.31 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12554, 430, 12467])).
% 77.46/49.31 tff(12556,plain,
% 77.46/49.31 (~v127(constB97, bitIndex2)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12555, 12548])).
% 77.46/49.31 tff(12557,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12558,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12559,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 77.46/49.31 tff(12560,plain,
% 77.46/49.31 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12559, 451, 12482])).
% 77.46/49.31 tff(12561,plain,
% 77.46/49.31 (~v129(constB98, bitIndex2)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12560, 12556])).
% 77.46/49.31 tff(12562,plain,
% 77.46/49.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12563,plain,
% 77.46/49.31 (((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2)) <=> ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12564,plain,
% 77.46/49.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))))),
% 77.46/49.31 inference(monotonicity,[status(thm)],[12563])).
% 77.46/49.31 tff(12565,plain,
% 77.46/49.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 77.46/49.31 inference(transitivity,[status(thm)],[12564, 12562])).
% 77.46/49.31 tff(12566,plain,
% 77.46/49.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12567,plain,
% 77.46/49.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 77.46/49.31 tff(12568,plain,
% 77.46/49.31 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12567, 655, 12561])).
% 77.46/49.31 tff(12569,plain,
% 77.46/49.31 (~v90(constB98, bitIndex2)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12568, 12516])).
% 77.46/49.31 tff(12570,plain,
% 77.46/49.31 ((~v1(constB99)) <=> (~v1(constB99))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12571,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 77.46/49.31 tff(12572,plain,
% 77.46/49.31 (~v1(constB99)),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12571, 12570])).
% 77.46/49.31 tff(12573,plain,
% 77.46/49.31 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12574,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 77.46/49.31 tff(12575,plain,
% 77.46/49.31 (nextState(constB98, constB99)),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 77.46/49.31 tff(12576,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12577,plain,
% 77.46/49.31 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12578,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 77.46/49.31 inference(monotonicity,[status(thm)],[12577])).
% 77.46/49.31 tff(12579,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 77.46/49.31 inference(transitivity,[status(thm)],[12578, 12576])).
% 77.46/49.31 tff(12580,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12581,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 77.46/49.31 tff(12582,plain,
% 77.46/49.31 (~v101(constB99)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12581, 307, 12575, 12572])).
% 77.46/49.31 tff(12583,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12584,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12585,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 77.46/49.31 tff(12586,plain,
% 77.46/49.31 (v101(constB99) | (~v100(constB99))),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12585, 324, 12575])).
% 77.46/49.31 tff(12587,plain,
% 77.46/49.31 (~v100(constB99)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12586, 12582])).
% 77.46/49.31 tff(12588,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12589,plain,
% 77.46/49.31 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 77.46/49.31 inference(rewrite,[status(thm)],[])).
% 77.46/49.31 tff(12590,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 77.46/49.31 inference(monotonicity,[status(thm)],[12589])).
% 77.46/49.31 tff(12591,plain,
% 77.46/49.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 77.46/49.31 inference(transitivity,[status(thm)],[12590, 12588])).
% 77.46/49.31 tff(12592,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 77.46/49.31 inference(quant_inst,[status(thm)],[])).
% 77.46/49.31 tff(12593,plain,
% 77.46/49.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 77.46/49.31 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 77.46/49.31 tff(12594,plain,
% 77.46/49.31 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12593, 339, 12575])).
% 77.46/49.31 tff(12595,plain,
% 77.46/49.31 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12594, 12587])).
% 77.46/49.31 tff(12596,plain,
% 77.46/49.31 (~v90(constB99, bitIndex2)),
% 77.46/49.31 inference(unit_resolution,[status(thm)],[12595, 12569])).
% 77.46/49.31 tff(12597,plain,
% 77.46/49.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB97, bitIndex1)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB97, bitIndex1)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12598,plain,
% 77.46/49.32 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1))) <=> ((~v130(constB97, bitIndex1)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12599,plain,
% 77.46/49.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB97, bitIndex1)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97)))),
% 77.46/49.32 inference(monotonicity,[status(thm)],[12598])).
% 77.46/49.32 tff(12600,plain,
% 77.46/49.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB97, bitIndex1)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))),
% 77.46/49.32 inference(transitivity,[status(thm)],[12599, 12597])).
% 77.46/49.32 tff(12601,plain,
% 77.46/49.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))),
% 77.46/49.32 inference(quant_inst,[status(thm)],[])).
% 77.46/49.32 tff(12602,plain,
% 77.46/49.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB97, bitIndex1)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97)),
% 77.46/49.32 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 77.46/49.32 tff(12603,plain,
% 77.46/49.32 ((~v130(constB97, bitIndex1)) | v123(constB97) | v121(constB97) | v119(constB97)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12602, 2355, 12540, 12536, 12532])).
% 77.46/49.32 tff(12604,plain,
% 77.46/49.32 (~v130(constB97, bitIndex1)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12603, 12528, 12524, 12520])).
% 77.46/49.32 tff(12605,plain,
% 77.46/49.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12606,plain,
% 77.46/49.32 ((v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1))) <=> ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12607,plain,
% 77.46/49.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)))),
% 77.46/49.32 inference(monotonicity,[status(thm)],[12606])).
% 77.46/49.32 tff(12608,plain,
% 77.46/49.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 77.46/49.32 inference(transitivity,[status(thm)],[12607, 12605])).
% 77.46/49.32 tff(12609,plain,
% 77.46/49.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))),
% 77.46/49.32 inference(quant_inst,[status(thm)],[])).
% 77.46/49.32 tff(12610,plain,
% 77.46/49.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)),
% 77.46/49.32 inference(modus_ponens,[status(thm)],[12609, 12608])).
% 77.46/49.32 tff(12611,plain,
% 77.46/49.32 ((~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12610, 714, 12467])).
% 77.46/49.32 tff(12612,plain,
% 77.46/49.32 (~v127(constB97, bitIndex1)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12611, 12604])).
% 77.46/49.32 tff(12613,plain,
% 77.46/49.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12614,plain,
% 77.46/49.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 77.46/49.32 inference(quant_inst,[status(thm)],[])).
% 77.46/49.32 tff(12615,plain,
% 77.46/49.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 77.46/49.32 inference(modus_ponens,[status(thm)],[12614, 12613])).
% 77.46/49.32 tff(12616,plain,
% 77.46/49.32 (v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12615, 732, 12482])).
% 77.46/49.32 tff(12617,plain,
% 77.46/49.32 (~v129(constB98, bitIndex1)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12616, 12612])).
% 77.46/49.32 tff(12618,plain,
% 77.46/49.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12619,plain,
% 77.46/49.32 (((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12620,plain,
% 77.46/49.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))))),
% 77.46/49.32 inference(monotonicity,[status(thm)],[12619])).
% 77.46/49.32 tff(12621,plain,
% 77.46/49.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 77.46/49.32 inference(transitivity,[status(thm)],[12620, 12618])).
% 77.46/49.32 tff(12622,plain,
% 77.46/49.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))),
% 77.46/49.32 inference(quant_inst,[status(thm)],[])).
% 77.46/49.32 tff(12623,plain,
% 77.46/49.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))),
% 77.46/49.32 inference(modus_ponens,[status(thm)],[12622, 12621])).
% 77.46/49.32 tff(12624,plain,
% 77.46/49.32 ((~v90(constB98, bitIndex1)) | (~v100(constB98))),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12623, 747, 12617])).
% 77.46/49.32 tff(12625,plain,
% 77.46/49.32 (~v90(constB98, bitIndex1)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12624, 12516])).
% 77.46/49.32 tff(12626,plain,
% 77.46/49.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12627,plain,
% 77.46/49.32 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 77.46/49.32 inference(rewrite,[status(thm)],[])).
% 77.46/49.32 tff(12628,plain,
% 77.46/49.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))))),
% 77.46/49.32 inference(monotonicity,[status(thm)],[12627])).
% 77.46/49.32 tff(12629,plain,
% 77.46/49.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 77.46/49.32 inference(transitivity,[status(thm)],[12628, 12626])).
% 77.46/49.32 tff(12630,plain,
% 77.46/49.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 77.46/49.32 inference(quant_inst,[status(thm)],[])).
% 77.46/49.32 tff(12631,plain,
% 77.46/49.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 77.46/49.32 inference(modus_ponens,[status(thm)],[12630, 12629])).
% 77.46/49.32 tff(12632,plain,
% 77.46/49.32 (v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12631, 360, 12575])).
% 77.46/49.32 tff(12633,plain,
% 77.46/49.32 (v90(constB98, bitIndex1) | (~v90(constB99, bitIndex1))),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12632, 12587])).
% 77.46/49.32 tff(12634,plain,
% 77.46/49.32 (~v90(constB99, bitIndex1)),
% 77.46/49.32 inference(unit_resolution,[status(thm)],[12633, 12625])).
% 77.46/49.32 tff(12635,plain,
% 77.46/49.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12636,plain,
% 77.46/49.33 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0)) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12637,plain,
% 77.46/49.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)))),
% 77.46/49.33 inference(monotonicity,[status(thm)],[12636])).
% 77.46/49.33 tff(12638,plain,
% 77.46/49.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 77.46/49.33 inference(transitivity,[status(thm)],[12637, 12635])).
% 77.46/49.33 tff(12639,plain,
% 77.46/49.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 77.46/49.33 inference(quant_inst,[status(thm)],[])).
% 77.46/49.33 tff(12640,plain,
% 77.46/49.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)),
% 77.46/49.33 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 77.46/49.33 tff(12641,plain,
% 77.46/49.33 (v123(constB97) | v121(constB97) | v119(constB97) | v130(constB97, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12640, 2402, 12540, 12536, 12532])).
% 77.46/49.33 tff(12642,plain,
% 77.46/49.33 (v130(constB97, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12641, 12528, 12524, 12520])).
% 77.46/49.33 tff(12643,plain,
% 77.46/49.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12644,plain,
% 77.46/49.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 77.46/49.33 inference(quant_inst,[status(thm)],[])).
% 77.46/49.33 tff(12645,plain,
% 77.46/49.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 77.46/49.33 inference(modus_ponens,[status(thm)],[12644, 12643])).
% 77.46/49.33 tff(12646,plain,
% 77.46/49.33 ((~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12645, 788, 12467])).
% 77.46/49.33 tff(12647,plain,
% 77.46/49.33 (v127(constB97, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12646, 12642])).
% 77.46/49.33 tff(12648,plain,
% 77.46/49.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12649,plain,
% 77.46/49.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 77.46/49.33 inference(quant_inst,[status(thm)],[])).
% 77.46/49.33 tff(12650,plain,
% 77.46/49.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 77.46/49.33 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 77.46/49.33 tff(12651,plain,
% 77.46/49.33 ((~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12650, 803, 12482])).
% 77.46/49.33 tff(12652,plain,
% 77.46/49.33 (v129(constB98, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12651, 12647])).
% 77.46/49.33 tff(12653,plain,
% 77.46/49.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12654,plain,
% 77.46/49.33 ((v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12655,plain,
% 77.46/49.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))))),
% 77.46/49.33 inference(monotonicity,[status(thm)],[12654])).
% 77.46/49.33 tff(12656,plain,
% 77.46/49.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 77.46/49.33 inference(transitivity,[status(thm)],[12655, 12653])).
% 77.46/49.33 tff(12657,plain,
% 77.46/49.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))),
% 77.46/49.33 inference(quant_inst,[status(thm)],[])).
% 77.46/49.33 tff(12658,plain,
% 77.46/49.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 77.46/49.33 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 77.46/49.33 tff(12659,plain,
% 77.46/49.33 (v90(constB98, bitIndex0) | (~v100(constB98))),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12658, 818, 12652])).
% 77.46/49.33 tff(12660,plain,
% 77.46/49.33 (v90(constB98, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12659, 12516])).
% 77.46/49.33 tff(12661,plain,
% 77.46/49.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12662,plain,
% 77.46/49.33 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12663,plain,
% 77.46/49.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)))),
% 77.46/49.33 inference(monotonicity,[status(thm)],[12662])).
% 77.46/49.33 tff(12664,plain,
% 77.46/49.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 77.46/49.33 inference(transitivity,[status(thm)],[12663, 12661])).
% 77.46/49.33 tff(12665,plain,
% 77.46/49.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))),
% 77.46/49.33 inference(quant_inst,[status(thm)],[])).
% 77.46/49.33 tff(12666,plain,
% 77.46/49.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)),
% 77.46/49.33 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 77.46/49.33 tff(12667,plain,
% 77.46/49.33 ((~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12666, 836, 12575])).
% 77.46/49.33 tff(12668,plain,
% 77.46/49.33 ((~v90(constB98, bitIndex0)) | v90(constB99, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12667, 12587])).
% 77.46/49.33 tff(12669,plain,
% 77.46/49.33 (v90(constB99, bitIndex0)),
% 77.46/49.33 inference(unit_resolution,[status(thm)],[12668, 12660])).
% 77.46/49.33 tff(12670,plain,
% 77.46/49.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12671,plain,
% 77.46/49.33 (((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2)) <=> ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 77.46/49.33 inference(rewrite,[status(thm)],[])).
% 77.46/49.33 tff(12672,plain,
% 77.46/49.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)))),
% 77.46/49.33 inference(monotonicity,[status(thm)],[12671])).
% 77.46/49.33 tff(12673,plain,
% 77.46/49.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 77.46/49.34 inference(transitivity,[status(thm)],[12672, 12670])).
% 77.46/49.34 tff(12674,plain,
% 77.46/49.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12675,plain,
% 77.46/49.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12674, 12673])).
% 77.46/49.34 tff(12676,plain,
% 77.46/49.34 (v120(constB99)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12675, 855, 12669, 12634, 12596])).
% 77.46/49.34 tff(12677,plain,
% 77.46/49.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12678,plain,
% 77.46/49.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12679,plain,
% 77.46/49.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1)),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12678, 12677])).
% 77.46/49.34 tff(12680,plain,
% 77.46/49.34 (v130(constB99, bitIndex1)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12679, 1017, 12676])).
% 77.46/49.34 tff(12681,assumption,(v26(constB99)), introduced(assumption)).
% 77.46/49.34 tff(12682,plain,
% 77.46/49.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12683,plain,
% 77.46/49.34 ($false),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12682, 14, 12681])).
% 77.46/49.34 tff(12684,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 77.46/49.34 tff(12685,plain,
% 77.46/49.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12686,plain,
% 77.46/49.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12687,plain,
% 77.46/49.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12686, 12685])).
% 77.46/49.34 tff(12688,plain,
% 77.46/49.34 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12687, 1031, 12684])).
% 77.46/49.34 tff(12689,plain,
% 77.46/49.34 (v127(constB99, bitIndex1)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12688, 12680])).
% 77.46/49.34 tff(12690,plain,
% 77.46/49.34 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12691,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 77.46/49.34 tff(12692,plain,
% 77.46/49.34 (nextState(constB99, constB100)),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12691, 12690])).
% 77.46/49.34 tff(12693,plain,
% 77.46/49.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12694,plain,
% 77.46/49.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12695,plain,
% 77.46/49.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 77.46/49.34 tff(12696,plain,
% 77.46/49.34 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12695, 1046, 12692])).
% 77.46/49.34 tff(12697,plain,
% 77.46/49.34 (v129(constB100, bitIndex1)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12696, 12689])).
% 77.46/49.34 tff(12698,assumption,(v120(constB99)), introduced(assumption)).
% 77.46/49.34 tff(12699,plain,
% 77.46/49.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12700,plain,
% 77.46/49.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12701,plain,
% 77.46/49.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0))),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 77.46/49.34 tff(12702,plain,
% 77.46/49.34 (~v130(constB99, bitIndex0)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12701, 1098, 12698])).
% 77.46/49.34 tff(12703,plain,
% 77.46/49.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12704,plain,
% 77.46/49.34 ((v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0))) <=> ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12705,plain,
% 77.46/49.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)))),
% 77.46/49.34 inference(monotonicity,[status(thm)],[12704])).
% 77.46/49.34 tff(12706,plain,
% 77.46/49.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 77.46/49.34 inference(transitivity,[status(thm)],[12705, 12703])).
% 77.46/49.34 tff(12707,plain,
% 77.46/49.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12708,plain,
% 77.46/49.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 77.46/49.34 tff(12709,plain,
% 77.46/49.34 ((~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12708, 1112, 12684])).
% 77.46/49.34 tff(12710,plain,
% 77.46/49.34 (~v127(constB99, bitIndex0)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12709, 12702])).
% 77.46/49.34 tff(12711,plain,
% 77.46/49.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12712,plain,
% 77.46/49.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12713,plain,
% 77.46/49.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12712, 12711])).
% 77.46/49.34 tff(12714,plain,
% 77.46/49.34 (v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12713, 1130, 12692])).
% 77.46/49.34 tff(12715,plain,
% 77.46/49.34 (~v129(constB100, bitIndex0)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12714, 12710])).
% 77.46/49.34 tff(12716,assumption,(v90(constB100, bitIndex0)), introduced(assumption)).
% 77.46/49.34 tff(12717,plain,
% 77.46/49.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12718,plain,
% 77.46/49.34 (((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 77.46/49.34 inference(rewrite,[status(thm)],[])).
% 77.46/49.34 tff(12719,plain,
% 77.46/49.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))))),
% 77.46/49.34 inference(monotonicity,[status(thm)],[12718])).
% 77.46/49.34 tff(12720,plain,
% 77.46/49.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 77.46/49.34 inference(transitivity,[status(thm)],[12719, 12717])).
% 77.46/49.34 tff(12721,plain,
% 77.46/49.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))),
% 77.46/49.34 inference(quant_inst,[status(thm)],[])).
% 77.46/49.34 tff(12722,plain,
% 77.46/49.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))),
% 77.46/49.34 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 77.46/49.34 tff(12723,plain,
% 77.46/49.34 (v129(constB100, bitIndex0) | (~v100(constB100))),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12722, 1145, 12716])).
% 77.46/49.34 tff(12724,plain,
% 77.46/49.34 (~v100(constB100)),
% 77.46/49.34 inference(unit_resolution,[status(thm)],[12723, 12715])).
% 77.46/49.34 tff(12725,plain,
% 77.46/49.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12726,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12727,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12726, 12725])).
% 77.46/49.35 tff(12728,plain,
% 77.46/49.35 (~v104(constB100)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12727, 589, 12692, 12572])).
% 77.46/49.35 tff(12729,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12730,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12731,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 77.46/49.35 tff(12732,plain,
% 77.46/49.35 (v102(constB100) | v104(constB100)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12731, 603, 12692])).
% 77.46/49.35 tff(12733,plain,
% 77.46/49.35 (v102(constB100)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12732, 12728])).
% 77.46/49.35 tff(12734,plain,
% 77.46/49.35 (v1(constB100) <=> v1(constB100)),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12735,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 77.46/49.35 tff(12736,plain,
% 77.46/49.35 (v1(constB100)),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12735, 12734])).
% 77.46/49.35 tff(12737,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12738,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12739,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12738, 12737])).
% 77.46/49.35 tff(12740,plain,
% 77.46/49.35 (v101(constB100) | (~v102(constB100))),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12739, 621, 12692, 12736])).
% 77.46/49.35 tff(12741,plain,
% 77.46/49.35 (v101(constB100)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12740, 12733])).
% 77.46/49.35 tff(12742,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12743,plain,
% 77.46/49.35 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12744,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 77.46/49.35 inference(monotonicity,[status(thm)],[12743])).
% 77.46/49.35 tff(12745,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 77.46/49.35 inference(transitivity,[status(thm)],[12744, 12742])).
% 77.46/49.35 tff(12746,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12747,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 77.46/49.35 tff(12748,plain,
% 77.46/49.35 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12747, 636, 12692])).
% 77.46/49.35 tff(12749,plain,
% 77.46/49.35 (v100(constB100) | (~v110(constB100))),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12748, 12741])).
% 77.46/49.35 tff(12750,plain,
% 77.46/49.35 (~v110(constB100)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12749, 12724])).
% 77.46/49.35 tff(12751,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12752,plain,
% 77.46/49.35 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12753,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 77.46/49.35 inference(monotonicity,[status(thm)],[12752])).
% 77.46/49.35 tff(12754,plain,
% 77.46/49.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 77.46/49.35 inference(transitivity,[status(thm)],[12753, 12751])).
% 77.46/49.35 tff(12755,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12756,plain,
% 77.46/49.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12755, 12754])).
% 77.46/49.35 tff(12757,plain,
% 77.46/49.35 (v110(constB100) | (~v108(constB99))),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12756, 571, 12692])).
% 77.46/49.35 tff(12758,plain,
% 77.46/49.35 (~v108(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12757, 12750])).
% 77.46/49.35 tff(12759,assumption,(~v108(constB99)), introduced(assumption)).
% 77.46/49.35 tff(12760,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12761,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12762,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 77.46/49.35 tff(12763,plain,
% 77.46/49.35 (~v112(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12762, 464, 12759])).
% 77.46/49.35 tff(12764,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB99) | (~v26(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB99) | (~v26(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12765,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB99) | (~v26(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12766,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB99) | (~v26(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 77.46/49.35 tff(12767,plain,
% 77.46/49.35 (~v26(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12766, 475, 12759])).
% 77.46/49.35 tff(12768,assumption,(v113(constB99)), introduced(assumption)).
% 77.46/49.35 tff(12769,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12770,plain,
% 77.46/49.35 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12771,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 77.46/49.35 inference(monotonicity,[status(thm)],[12770])).
% 77.46/49.35 tff(12772,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 77.46/49.35 inference(transitivity,[status(thm)],[12771, 12769])).
% 77.46/49.35 tff(12773,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12774,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12773, 12772])).
% 77.46/49.35 tff(12775,plain,
% 77.46/49.35 (v26(constB99) | v112(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12774, 555, 12768])).
% 77.46/49.35 tff(12776,plain,
% 77.46/49.35 ($false),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12775, 12767, 12763])).
% 77.46/49.35 tff(12777,plain,(v108(constB99) | (~v113(constB99))), inference(lemma,lemma(discharge,[]))).
% 77.46/49.35 tff(12778,plain,
% 77.46/49.35 (~v113(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12777, 12758])).
% 77.46/49.35 tff(12779,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12780,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12781,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 77.46/49.35 tff(12782,plain,
% 77.46/49.35 (~v114(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12781, 541, 12778])).
% 77.46/49.35 tff(12783,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12784,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12785,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 77.46/49.35 tff(12786,plain,
% 77.46/49.35 (~v115(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12785, 530, 12782])).
% 77.46/49.35 tff(12787,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12788,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12789,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 77.46/49.35 tff(12790,plain,
% 77.46/49.35 (v118(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12789, 908, 12698])).
% 77.46/49.35 tff(12791,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12792,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12793,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 77.46/49.35 tff(12794,plain,
% 77.46/49.35 (v117(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12793, 497, 12790])).
% 77.46/49.35 tff(12795,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12796,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12797,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 77.46/49.35 tff(12798,plain,
% 77.46/49.35 (v116(constB99)),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12797, 508, 12794])).
% 77.46/49.35 tff(12799,plain,
% 77.46/49.35 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99)))),
% 77.46/49.35 inference(rewrite,[status(thm)],[])).
% 77.46/49.35 tff(12800,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))),
% 77.46/49.35 inference(quant_inst,[status(thm)],[])).
% 77.46/49.35 tff(12801,plain,
% 77.46/49.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99))),
% 77.46/49.35 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 77.46/49.35 tff(12802,plain,
% 77.46/49.35 ($false),
% 77.46/49.35 inference(unit_resolution,[status(thm)],[12801, 519, 12798, 12786])).
% 77.46/49.35 tff(12803,plain,((~v120(constB99)) | (~v90(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.46/49.35 tff(12804,plain,
% 77.46/49.35 (~v90(constB100, bitIndex0)),
% 77.46/49.36 inference(unit_resolution,[status(thm)],[12803, 12676])).
% 77.46/49.36 tff(12805,plain,
% 77.46/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, bitIndex0))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12806,plain,
% 77.46/49.36 (((~nextState(constB99, constB100)) | (~v90(constB99, bitIndex0)) | v100(constB100) | v90(constB100, bitIndex0)) <=> ((~v90(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, bitIndex0))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12807,plain,
% 77.46/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, bitIndex0)) | v100(constB100) | v90(constB100, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, bitIndex0)))),
% 77.46/49.36 inference(monotonicity,[status(thm)],[12806])).
% 77.46/49.36 tff(12808,plain,
% 77.46/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, bitIndex0)) | v100(constB100) | v90(constB100, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, bitIndex0))),
% 77.46/49.36 inference(transitivity,[status(thm)],[12807, 12805])).
% 77.46/49.36 tff(12809,plain,
% 77.46/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, bitIndex0)) | v100(constB100) | v90(constB100, bitIndex0))),
% 77.46/49.36 inference(quant_inst,[status(thm)],[])).
% 77.46/49.36 tff(12810,plain,
% 77.46/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, bitIndex0)),
% 77.46/49.36 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 77.46/49.36 tff(12811,plain,
% 77.46/49.36 ((~v90(constB99, bitIndex0)) | v100(constB100) | v90(constB100, bitIndex0)),
% 77.46/49.36 inference(unit_resolution,[status(thm)],[12810, 836, 12692])).
% 77.46/49.36 tff(12812,plain,
% 77.46/49.36 (v100(constB100)),
% 77.46/49.36 inference(unit_resolution,[status(thm)],[12811, 12804, 12669])).
% 77.46/49.36 tff(12813,plain,
% 77.46/49.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12814,plain,
% 77.46/49.36 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12815,plain,
% 77.46/49.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 77.46/49.36 inference(monotonicity,[status(thm)],[12814])).
% 77.46/49.36 tff(12816,plain,
% 77.46/49.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 77.46/49.36 inference(transitivity,[status(thm)],[12815, 12813])).
% 77.46/49.36 tff(12817,plain,
% 77.46/49.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 77.46/49.36 inference(quant_inst,[status(thm)],[])).
% 77.46/49.36 tff(12818,plain,
% 77.46/49.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 77.46/49.36 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 77.46/49.36 tff(12819,plain,
% 77.46/49.36 (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 77.46/49.36 inference(unit_resolution,[status(thm)],[12818, 1061, 12812])).
% 77.46/49.36 tff(12820,plain,
% 77.46/49.36 (v90(constB100, bitIndex1)),
% 77.46/49.36 inference(unit_resolution,[status(thm)],[12819, 12697])).
% 77.46/49.36 tff(12821,plain,
% 77.46/49.36 ((~v1(constB101)) <=> (~v1(constB101))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12822,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 77.46/49.36 tff(12823,plain,
% 77.46/49.36 (~v1(constB101)),
% 77.46/49.36 inference(modus_ponens,[status(thm)],[12822, 12821])).
% 77.46/49.36 tff(12824,plain,
% 77.46/49.36 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12825,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 77.46/49.36 tff(12826,plain,
% 77.46/49.36 (nextState(constB100, constB101)),
% 77.46/49.36 inference(modus_ponens,[status(thm)],[12825, 12824])).
% 77.46/49.36 tff(12827,plain,
% 77.46/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12828,plain,
% 77.46/49.36 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 77.46/49.36 inference(rewrite,[status(thm)],[])).
% 77.46/49.36 tff(12829,plain,
% 77.46/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 77.46/49.36 inference(monotonicity,[status(thm)],[12828])).
% 77.46/49.36 tff(12830,plain,
% 77.46/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 77.46/49.36 inference(transitivity,[status(thm)],[12829, 12827])).
% 77.46/49.36 tff(12831,plain,
% 77.46/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 77.46/49.36 inference(quant_inst,[status(thm)],[])).
% 77.46/49.36 tff(12832,plain,
% 77.46/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 77.46/49.36 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 77.46/49.36 tff(12833,plain,
% 77.46/49.36 (~v101(constB101)),
% 77.46/49.36 inference(unit_resolution,[status(thm)],[12832, 307, 12826, 12823])).
% 77.55/49.36 tff(12834,plain,
% 77.55/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12835,plain,
% 77.55/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 77.55/49.36 inference(quant_inst,[status(thm)],[])).
% 77.55/49.36 tff(12836,plain,
% 77.55/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 77.55/49.36 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 77.55/49.36 tff(12837,plain,
% 77.55/49.36 (v101(constB101) | (~v100(constB101))),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12836, 324, 12826])).
% 77.55/49.36 tff(12838,plain,
% 77.55/49.36 (~v100(constB101)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12837, 12833])).
% 77.55/49.36 tff(12839,plain,
% 77.55/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12840,plain,
% 77.55/49.36 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12841,plain,
% 77.55/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 77.55/49.36 inference(monotonicity,[status(thm)],[12840])).
% 77.55/49.36 tff(12842,plain,
% 77.55/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 77.55/49.36 inference(transitivity,[status(thm)],[12841, 12839])).
% 77.55/49.36 tff(12843,plain,
% 77.55/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 77.55/49.36 inference(quant_inst,[status(thm)],[])).
% 77.55/49.36 tff(12844,plain,
% 77.55/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 77.55/49.36 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 77.55/49.36 tff(12845,plain,
% 77.55/49.36 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12844, 1079, 12826])).
% 77.55/49.36 tff(12846,plain,
% 77.55/49.36 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12845, 12838])).
% 77.55/49.36 tff(12847,plain,
% 77.55/49.36 (v90(constB101, bitIndex1)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12846, 12820])).
% 77.55/49.36 tff(12848,plain,
% 77.55/49.36 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12849,plain,
% 77.55/49.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 77.55/49.36 inference(quant_inst,[status(thm)],[])).
% 77.55/49.36 tff(12850,plain,
% 77.55/49.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2))),
% 77.55/49.36 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 77.55/49.36 tff(12851,plain,
% 77.55/49.36 (~v130(constB99, bitIndex2)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12850, 872, 12676])).
% 77.55/49.36 tff(12852,plain,
% 77.55/49.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12853,plain,
% 77.55/49.36 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12854,plain,
% 77.55/49.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 77.55/49.36 inference(monotonicity,[status(thm)],[12853])).
% 77.55/49.36 tff(12855,plain,
% 77.55/49.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 77.55/49.36 inference(transitivity,[status(thm)],[12854, 12852])).
% 77.55/49.36 tff(12856,plain,
% 77.55/49.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 77.55/49.36 inference(quant_inst,[status(thm)],[])).
% 77.55/49.36 tff(12857,plain,
% 77.55/49.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 77.55/49.36 inference(modus_ponens,[status(thm)],[12856, 12855])).
% 77.55/49.36 tff(12858,plain,
% 77.55/49.36 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12857, 430, 12684])).
% 77.55/49.36 tff(12859,plain,
% 77.55/49.36 (~v127(constB99, bitIndex2)),
% 77.55/49.36 inference(unit_resolution,[status(thm)],[12858, 12851])).
% 77.55/49.36 tff(12860,plain,
% 77.55/49.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 77.55/49.36 inference(rewrite,[status(thm)],[])).
% 77.55/49.36 tff(12861,plain,
% 77.55/49.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 77.55/49.36 inference(quant_inst,[status(thm)],[])).
% 77.55/49.36 tff(12862,plain,
% 77.55/49.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12861, 12860])).
% 77.55/49.37 tff(12863,plain,
% 77.55/49.37 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12862, 451, 12692])).
% 77.55/49.37 tff(12864,plain,
% 77.55/49.37 (~v129(constB100, bitIndex2)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12863, 12859])).
% 77.55/49.37 tff(12865,plain,
% 77.55/49.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12866,plain,
% 77.55/49.37 (((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2)) <=> ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12867,plain,
% 77.55/49.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))))),
% 77.55/49.37 inference(monotonicity,[status(thm)],[12866])).
% 77.55/49.37 tff(12868,plain,
% 77.55/49.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 77.55/49.37 inference(transitivity,[status(thm)],[12867, 12865])).
% 77.55/49.37 tff(12869,plain,
% 77.55/49.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12870,plain,
% 77.55/49.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12869, 12868])).
% 77.55/49.37 tff(12871,plain,
% 77.55/49.37 ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12870, 655, 12812])).
% 77.55/49.37 tff(12872,plain,
% 77.55/49.37 (~v90(constB100, bitIndex2)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12871, 12864])).
% 77.55/49.37 tff(12873,plain,
% 77.55/49.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12874,plain,
% 77.55/49.37 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12875,plain,
% 77.55/49.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 77.55/49.37 inference(monotonicity,[status(thm)],[12874])).
% 77.55/49.37 tff(12876,plain,
% 77.55/49.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 77.55/49.37 inference(transitivity,[status(thm)],[12875, 12873])).
% 77.55/49.37 tff(12877,plain,
% 77.55/49.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12878,plain,
% 77.55/49.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 77.55/49.37 tff(12879,plain,
% 77.55/49.37 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12878, 339, 12826])).
% 77.55/49.37 tff(12880,plain,
% 77.55/49.37 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12879, 12838])).
% 77.55/49.37 tff(12881,plain,
% 77.55/49.37 (~v90(constB101, bitIndex2)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12880, 12872])).
% 77.55/49.37 tff(12882,plain,
% 77.55/49.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12883,plain,
% 77.55/49.37 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12884,plain,
% 77.55/49.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))))),
% 77.55/49.37 inference(monotonicity,[status(thm)],[12883])).
% 77.55/49.37 tff(12885,plain,
% 77.55/49.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 77.55/49.37 inference(transitivity,[status(thm)],[12884, 12882])).
% 77.55/49.37 tff(12886,plain,
% 77.55/49.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12887,plain,
% 77.55/49.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 77.55/49.37 tff(12888,plain,
% 77.55/49.37 (v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12887, 381, 12826])).
% 77.55/49.37 tff(12889,plain,
% 77.55/49.37 (v90(constB100, bitIndex0) | (~v90(constB101, bitIndex0))),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12888, 12838])).
% 77.55/49.37 tff(12890,plain,
% 77.55/49.37 (~v90(constB101, bitIndex0)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12889, 12804])).
% 77.55/49.37 tff(12891,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12892,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12893,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12892, 12891])).
% 77.55/49.37 tff(12894,plain,
% 77.55/49.37 ((~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12893, 1172, 12890])).
% 77.55/49.37 tff(12895,plain,
% 77.55/49.37 (v121(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12894, 12881, 12847])).
% 77.55/49.37 tff(12896,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12897,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12898,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12897, 12896])).
% 77.55/49.37 tff(12899,plain,
% 77.55/49.37 (v117(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12898, 1183, 12895])).
% 77.55/49.37 tff(12900,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12901,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12902,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 77.55/49.37 tff(12903,plain,
% 77.55/49.37 (v116(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12902, 508, 12899])).
% 77.55/49.37 tff(12904,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12905,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12906,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12905, 12904])).
% 77.55/49.37 tff(12907,plain,
% 77.55/49.37 (v115(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12906, 519, 12903])).
% 77.55/49.37 tff(12908,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12909,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12910,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 77.55/49.37 tff(12911,plain,
% 77.55/49.37 (v114(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12910, 530, 12907])).
% 77.55/49.37 tff(12912,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12913,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12914,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 77.55/49.37 tff(12915,plain,
% 77.55/49.37 (v113(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12914, 541, 12911])).
% 77.55/49.37 tff(12916,assumption,(v26(constB101)), introduced(assumption)).
% 77.55/49.37 tff(12917,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12918,plain,
% 77.55/49.37 ($false),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12917, 14, 12916])).
% 77.55/49.37 tff(12919,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 77.55/49.37 tff(12920,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12921,plain,
% 77.55/49.37 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 77.55/49.37 inference(rewrite,[status(thm)],[])).
% 77.55/49.37 tff(12922,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101))))),
% 77.55/49.37 inference(monotonicity,[status(thm)],[12921])).
% 77.55/49.37 tff(12923,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 77.55/49.37 inference(transitivity,[status(thm)],[12922, 12920])).
% 77.55/49.37 tff(12924,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 77.55/49.37 inference(quant_inst,[status(thm)],[])).
% 77.55/49.37 tff(12925,plain,
% 77.55/49.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 77.55/49.37 inference(modus_ponens,[status(thm)],[12924, 12923])).
% 77.55/49.37 tff(12926,plain,
% 77.55/49.37 (v112(constB101) | (~v113(constB101))),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12925, 555, 12919])).
% 77.55/49.37 tff(12927,plain,
% 77.55/49.37 (v112(constB101)),
% 77.55/49.37 inference(unit_resolution,[status(thm)],[12926, 12915])).
% 77.55/49.37 tff(12928,plain,
% 77.55/49.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12929,plain,
% 77.55/49.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12930,plain,
% 77.55/49.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101))),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 77.55/49.38 tff(12931,plain,
% 77.55/49.38 (v108(constB101)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12930, 464, 12927])).
% 77.55/49.38 tff(12932,plain,
% 77.55/49.38 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12933,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 77.55/49.38 tff(12934,plain,
% 77.55/49.38 (nextState(constB101, constB102)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 77.55/49.38 tff(12935,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12936,plain,
% 77.55/49.38 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12937,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 77.55/49.38 inference(monotonicity,[status(thm)],[12936])).
% 77.55/49.38 tff(12938,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 77.55/49.38 inference(transitivity,[status(thm)],[12937, 12935])).
% 77.55/49.38 tff(12939,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12940,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12939, 12938])).
% 77.55/49.38 tff(12941,plain,
% 77.55/49.38 (v110(constB102) | (~v108(constB101))),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12940, 571, 12934])).
% 77.55/49.38 tff(12942,plain,
% 77.55/49.38 (v110(constB102)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12941, 12931])).
% 77.55/49.38 tff(12943,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12944,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12945,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 77.55/49.38 tff(12946,plain,
% 77.55/49.38 (~v104(constB102)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12945, 589, 12934, 12823])).
% 77.55/49.38 tff(12947,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12948,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12949,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 77.55/49.38 tff(12950,plain,
% 77.55/49.38 (v102(constB102) | v104(constB102)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12949, 603, 12934])).
% 77.55/49.38 tff(12951,plain,
% 77.55/49.38 (v102(constB102)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12950, 12946])).
% 77.55/49.38 tff(12952,plain,
% 77.55/49.38 (v1(constB102) <=> v1(constB102)),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12953,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 77.55/49.38 tff(12954,plain,
% 77.55/49.38 (v1(constB102)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 77.55/49.38 tff(12955,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12956,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12957,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12956, 12955])).
% 77.55/49.38 tff(12958,plain,
% 77.55/49.38 (v101(constB102) | (~v102(constB102))),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12957, 621, 12934, 12954])).
% 77.55/49.38 tff(12959,plain,
% 77.55/49.38 (v101(constB102)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12958, 12951])).
% 77.55/49.38 tff(12960,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12961,plain,
% 77.55/49.38 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12962,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 77.55/49.38 inference(monotonicity,[status(thm)],[12961])).
% 77.55/49.38 tff(12963,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 77.55/49.38 inference(transitivity,[status(thm)],[12962, 12960])).
% 77.55/49.38 tff(12964,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12965,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12964, 12963])).
% 77.55/49.38 tff(12966,plain,
% 77.55/49.38 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12965, 636, 12934])).
% 77.55/49.38 tff(12967,plain,
% 77.55/49.38 (v100(constB102) | (~v110(constB102))),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12966, 12959])).
% 77.55/49.38 tff(12968,plain,
% 77.55/49.38 (v100(constB102)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12967, 12942])).
% 77.55/49.38 tff(12969,plain,
% 77.55/49.38 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12970,plain,
% 77.55/49.38 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12971,plain,
% 77.55/49.38 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12970, 12969])).
% 77.55/49.38 tff(12972,plain,
% 77.55/49.38 (v130(constB101, bitIndex0)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12971, 1362, 12895])).
% 77.55/49.38 tff(12973,plain,
% 77.55/49.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12974,plain,
% 77.55/49.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12975,plain,
% 77.55/49.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12974, 12973])).
% 77.55/49.38 tff(12976,plain,
% 77.55/49.38 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12975, 788, 12919])).
% 77.55/49.38 tff(12977,plain,
% 77.55/49.38 (v127(constB101, bitIndex0)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12976, 12972])).
% 77.55/49.38 tff(12978,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12979,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12980,plain,
% 77.55/49.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 77.55/49.38 tff(12981,plain,
% 77.55/49.38 ((~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12980, 803, 12934])).
% 77.55/49.38 tff(12982,plain,
% 77.55/49.38 (v129(constB102, bitIndex0)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12981, 12977])).
% 77.55/49.38 tff(12983,plain,
% 77.55/49.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12984,plain,
% 77.55/49.38 ((v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12985,plain,
% 77.55/49.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))))),
% 77.55/49.38 inference(monotonicity,[status(thm)],[12984])).
% 77.55/49.38 tff(12986,plain,
% 77.55/49.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 77.55/49.38 inference(transitivity,[status(thm)],[12985, 12983])).
% 77.55/49.38 tff(12987,plain,
% 77.55/49.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))),
% 77.55/49.38 inference(quant_inst,[status(thm)],[])).
% 77.55/49.38 tff(12988,plain,
% 77.55/49.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12987, 12986])).
% 77.55/49.38 tff(12989,plain,
% 77.55/49.38 (v90(constB102, bitIndex0) | (~v100(constB102))),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12988, 818, 12982])).
% 77.55/49.38 tff(12990,plain,
% 77.55/49.38 (v90(constB102, bitIndex0)),
% 77.55/49.38 inference(unit_resolution,[status(thm)],[12989, 12968])).
% 77.55/49.38 tff(12991,plain,
% 77.55/49.38 ((~v1(constB103)) <=> (~v1(constB103))),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12992,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 77.55/49.38 tff(12993,plain,
% 77.55/49.38 (~v1(constB103)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 77.55/49.38 tff(12994,plain,
% 77.55/49.38 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 77.55/49.38 inference(rewrite,[status(thm)],[])).
% 77.55/49.38 tff(12995,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 77.55/49.38 tff(12996,plain,
% 77.55/49.38 (nextState(constB102, constB103)),
% 77.55/49.38 inference(modus_ponens,[status(thm)],[12995, 12994])).
% 77.55/49.38 tff(12997,plain,
% 77.55/49.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(12998,plain,
% 77.55/49.39 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(12999,plain,
% 77.55/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 77.55/49.39 inference(monotonicity,[status(thm)],[12998])).
% 77.55/49.39 tff(13000,plain,
% 77.55/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 77.55/49.39 inference(transitivity,[status(thm)],[12999, 12997])).
% 77.55/49.39 tff(13001,plain,
% 77.55/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 77.55/49.39 inference(quant_inst,[status(thm)],[])).
% 77.55/49.39 tff(13002,plain,
% 77.55/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 77.55/49.39 inference(modus_ponens,[status(thm)],[13001, 13000])).
% 77.55/49.39 tff(13003,plain,
% 77.55/49.39 (~v101(constB103)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13002, 307, 12996, 12993])).
% 77.55/49.39 tff(13004,plain,
% 77.55/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(13005,plain,
% 77.55/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 77.55/49.39 inference(quant_inst,[status(thm)],[])).
% 77.55/49.39 tff(13006,plain,
% 77.55/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 77.55/49.39 inference(modus_ponens,[status(thm)],[13005, 13004])).
% 77.55/49.39 tff(13007,plain,
% 77.55/49.39 (v101(constB103) | (~v100(constB103))),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13006, 324, 12996])).
% 77.55/49.39 tff(13008,plain,
% 77.55/49.39 (~v100(constB103)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13007, 13003])).
% 77.55/49.39 tff(13009,plain,
% 77.55/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(13010,plain,
% 77.55/49.39 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(13011,plain,
% 77.55/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)))),
% 77.55/49.39 inference(monotonicity,[status(thm)],[13010])).
% 77.55/49.39 tff(13012,plain,
% 77.55/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 77.55/49.39 inference(transitivity,[status(thm)],[13011, 13009])).
% 77.55/49.39 tff(13013,plain,
% 77.55/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))),
% 77.55/49.39 inference(quant_inst,[status(thm)],[])).
% 77.55/49.39 tff(13014,plain,
% 77.55/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)),
% 77.55/49.39 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 77.55/49.39 tff(13015,plain,
% 77.55/49.39 ((~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13014, 836, 12996])).
% 77.55/49.39 tff(13016,plain,
% 77.55/49.39 ((~v90(constB102, bitIndex0)) | v90(constB103, bitIndex0)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13015, 13008])).
% 77.55/49.39 tff(13017,plain,
% 77.55/49.39 (v90(constB103, bitIndex0)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13016, 12990])).
% 77.55/49.39 tff(13018,plain,
% 77.55/49.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB103, bitIndex0)) | (~v123(constB103)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB103, bitIndex0)) | (~v123(constB103)))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(13019,plain,
% 77.55/49.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB103, bitIndex0)) | (~v123(constB103)))),
% 77.55/49.39 inference(quant_inst,[status(thm)],[])).
% 77.55/49.39 tff(13020,plain,
% 77.55/49.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB103, bitIndex0)) | (~v123(constB103))),
% 77.55/49.39 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 77.55/49.39 tff(13021,plain,
% 77.55/49.39 (~v123(constB103)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13020, 10440, 13017])).
% 77.55/49.39 tff(13022,plain,
% 77.55/49.39 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 77.55/49.39 inference(rewrite,[status(thm)],[])).
% 77.55/49.39 tff(13023,plain,
% 77.55/49.39 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 77.55/49.39 inference(quant_inst,[status(thm)],[])).
% 77.55/49.39 tff(13024,plain,
% 77.55/49.39 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2))),
% 77.55/49.39 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 77.55/49.39 tff(13025,plain,
% 77.55/49.39 (~v130(constB101, bitIndex2)),
% 77.55/49.39 inference(unit_resolution,[status(thm)],[13024, 1259, 12895])).
% 77.55/49.39 tff(13026,plain,
% 77.55/49.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 77.58/49.39 inference(rewrite,[status(thm)],[])).
% 77.58/49.39 tff(13027,plain,
% 77.58/49.39 ((v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2))) <=> ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 77.58/49.39 inference(rewrite,[status(thm)],[])).
% 77.58/49.39 tff(13028,plain,
% 77.58/49.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)))),
% 77.58/49.39 inference(monotonicity,[status(thm)],[13027])).
% 77.58/49.39 tff(13029,plain,
% 77.58/49.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 77.58/49.39 inference(transitivity,[status(thm)],[13028, 13026])).
% 77.58/49.39 tff(13030,plain,
% 77.58/49.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))),
% 77.58/49.39 inference(quant_inst,[status(thm)],[])).
% 77.58/49.39 tff(13031,plain,
% 77.58/49.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)),
% 77.58/49.39 inference(modus_ponens,[status(thm)],[13030, 13029])).
% 77.58/49.39 tff(13032,plain,
% 77.58/49.39 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 77.58/49.39 inference(unit_resolution,[status(thm)],[13031, 430, 12919])).
% 77.58/49.39 tff(13033,plain,
% 77.58/49.39 (~v127(constB101, bitIndex2)),
% 77.58/49.39 inference(unit_resolution,[status(thm)],[13032, 13025])).
% 77.58/49.39 tff(13034,plain,
% 77.58/49.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 77.58/49.39 inference(rewrite,[status(thm)],[])).
% 77.58/49.39 tff(13035,plain,
% 77.58/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 77.58/49.39 inference(quant_inst,[status(thm)],[])).
% 77.58/49.39 tff(13036,plain,
% 77.58/49.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 77.58/49.39 inference(modus_ponens,[status(thm)],[13035, 13034])).
% 77.58/49.39 tff(13037,plain,
% 77.58/49.39 (v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 77.58/49.39 inference(unit_resolution,[status(thm)],[13036, 451, 12934])).
% 77.58/49.39 tff(13038,plain,
% 77.58/49.39 (~v129(constB102, bitIndex2)),
% 77.58/49.39 inference(unit_resolution,[status(thm)],[13037, 13033])).
% 77.58/49.39 tff(13039,plain,
% 77.58/49.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 77.58/49.39 inference(rewrite,[status(thm)],[])).
% 77.58/49.39 tff(13040,plain,
% 77.58/49.39 (((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 77.58/49.39 inference(rewrite,[status(thm)],[])).
% 77.58/49.39 tff(13041,plain,
% 77.58/49.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))))),
% 77.58/49.40 inference(monotonicity,[status(thm)],[13040])).
% 77.58/49.40 tff(13042,plain,
% 77.58/49.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 77.58/49.40 inference(transitivity,[status(thm)],[13041, 13039])).
% 77.58/49.40 tff(13043,plain,
% 77.58/49.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13044,plain,
% 77.58/49.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13043, 13042])).
% 77.58/49.40 tff(13045,plain,
% 77.58/49.40 ((~v90(constB102, bitIndex2)) | (~v100(constB102))),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13044, 655, 13038])).
% 77.58/49.40 tff(13046,plain,
% 77.58/49.40 (~v90(constB102, bitIndex2)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13045, 12968])).
% 77.58/49.40 tff(13047,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13048,plain,
% 77.58/49.40 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13049,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))))),
% 77.58/49.40 inference(monotonicity,[status(thm)],[13048])).
% 77.58/49.40 tff(13050,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 77.58/49.40 inference(transitivity,[status(thm)],[13049, 13047])).
% 77.58/49.40 tff(13051,plain,
% 77.58/49.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13052,plain,
% 77.58/49.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 77.58/49.40 tff(13053,plain,
% 77.58/49.40 (v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13052, 339, 12996])).
% 77.58/49.40 tff(13054,plain,
% 77.58/49.40 (v90(constB102, bitIndex2) | (~v90(constB103, bitIndex2))),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13053, 13008])).
% 77.58/49.40 tff(13055,plain,
% 77.58/49.40 (~v90(constB103, bitIndex2)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13054, 13046])).
% 77.58/49.40 tff(13056,plain,
% 77.58/49.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13057,plain,
% 77.58/49.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13058,plain,
% 77.58/49.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1)),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 77.58/49.40 tff(13059,plain,
% 77.58/49.40 (v130(constB101, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13058, 1321, 12895])).
% 77.58/49.40 tff(13060,plain,
% 77.58/49.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13061,plain,
% 77.58/49.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13062,plain,
% 77.58/49.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13061, 13060])).
% 77.58/49.40 tff(13063,plain,
% 77.58/49.40 ((~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13062, 1031, 12919])).
% 77.58/49.40 tff(13064,plain,
% 77.58/49.40 (v127(constB101, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13063, 13059])).
% 77.58/49.40 tff(13065,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13066,plain,
% 77.58/49.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13067,plain,
% 77.58/49.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 77.58/49.40 tff(13068,plain,
% 77.58/49.40 ((~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13067, 1046, 12934])).
% 77.58/49.40 tff(13069,plain,
% 77.58/49.40 (v129(constB102, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13068, 13064])).
% 77.58/49.40 tff(13070,plain,
% 77.58/49.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13071,plain,
% 77.58/49.40 ((v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13072,plain,
% 77.58/49.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))))),
% 77.58/49.40 inference(monotonicity,[status(thm)],[13071])).
% 77.58/49.40 tff(13073,plain,
% 77.58/49.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 77.58/49.40 inference(transitivity,[status(thm)],[13072, 13070])).
% 77.58/49.40 tff(13074,plain,
% 77.58/49.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13075,plain,
% 77.58/49.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 77.58/49.40 tff(13076,plain,
% 77.58/49.40 (v90(constB102, bitIndex1) | (~v100(constB102))),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13075, 1061, 13069])).
% 77.58/49.40 tff(13077,plain,
% 77.58/49.40 (v90(constB102, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13076, 12968])).
% 77.58/49.40 tff(13078,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13079,plain,
% 77.58/49.40 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13080,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)))),
% 77.58/49.40 inference(monotonicity,[status(thm)],[13079])).
% 77.58/49.40 tff(13081,plain,
% 77.58/49.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 77.58/49.40 inference(transitivity,[status(thm)],[13080, 13078])).
% 77.58/49.40 tff(13082,plain,
% 77.58/49.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13083,plain,
% 77.58/49.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 77.58/49.40 tff(13084,plain,
% 77.58/49.40 ((~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13083, 1079, 12996])).
% 77.58/49.40 tff(13085,plain,
% 77.58/49.40 ((~v90(constB102, bitIndex1)) | v90(constB103, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13084, 13008])).
% 77.58/49.40 tff(13086,plain,
% 77.58/49.40 (v90(constB103, bitIndex1)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13085, 13077])).
% 77.58/49.40 tff(13087,plain,
% 77.58/49.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13088,plain,
% 77.58/49.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13089,plain,
% 77.58/49.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103)),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 77.58/49.40 tff(13090,plain,
% 77.58/49.40 (v122(constB103)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13089, 1403, 13017, 13086, 13055])).
% 77.58/49.40 tff(13091,assumption,(~v123(constB105)), introduced(assumption)).
% 77.58/49.40 tff(13092,assumption,(v122(constB103)), introduced(assumption)).
% 77.58/49.40 tff(13093,plain,
% 77.58/49.40 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 77.58/49.40 inference(rewrite,[status(thm)],[])).
% 77.58/49.40 tff(13094,plain,
% 77.58/49.40 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13095,plain,
% 77.58/49.40 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0))),
% 77.58/49.40 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 77.58/49.40 tff(13096,plain,
% 77.58/49.40 (~v130(constB103, bitIndex0)),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13095, 1638, 13092])).
% 77.58/49.40 tff(13097,assumption,(~v123(constB103)), introduced(assumption)).
% 77.58/49.40 tff(13098,assumption,(v26(constB103)), introduced(assumption)).
% 77.58/49.40 tff(13099,plain,
% 77.58/49.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 77.58/49.40 inference(quant_inst,[status(thm)],[])).
% 77.58/49.40 tff(13100,plain,
% 77.58/49.40 ($false),
% 77.58/49.40 inference(unit_resolution,[status(thm)],[13099, 14, 13098])).
% 77.58/49.40 tff(13101,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 77.58/49.40 tff(13102,plain,
% 77.58/49.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13103,plain,
% 77.58/49.41 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13104,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 77.58/49.41 inference(monotonicity,[status(thm)],[13103])).
% 77.58/49.41 tff(13105,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(transitivity,[status(thm)],[13104, 13102])).
% 77.58/49.41 tff(13106,plain,
% 77.58/49.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13107,plain,
% 77.58/49.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 77.58/49.41 tff(13108,plain,
% 77.58/49.41 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13107, 1112, 13101])).
% 77.58/49.41 tff(13109,plain,
% 77.58/49.41 (~v127(constB103, bitIndex0)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13108, 13096])).
% 77.58/49.41 tff(13110,plain,
% 77.58/49.41 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13111,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 77.58/49.41 tff(13112,plain,
% 77.58/49.41 (nextState(constB103, constB104)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13111, 13110])).
% 77.58/49.41 tff(13113,plain,
% 77.58/49.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13114,plain,
% 77.58/49.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13115,plain,
% 77.58/49.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13114, 13113])).
% 77.58/49.41 tff(13116,plain,
% 77.58/49.41 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13115, 1130, 13112])).
% 77.58/49.41 tff(13117,plain,
% 77.58/49.41 (~v129(constB104, bitIndex0)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13116, 13109])).
% 77.58/49.41 tff(13118,plain,
% 77.58/49.41 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13119,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13120,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1))),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13119, 13118])).
% 77.58/49.41 tff(13121,plain,
% 77.58/49.41 (~v130(constB103, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13120, 1594, 13092])).
% 77.58/49.41 tff(13122,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13123,plain,
% 77.58/49.41 ((v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1))) <=> ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13124,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)))),
% 77.58/49.41 inference(monotonicity,[status(thm)],[13123])).
% 77.58/49.41 tff(13125,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(transitivity,[status(thm)],[13124, 13122])).
% 77.58/49.41 tff(13126,plain,
% 77.58/49.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13127,plain,
% 77.58/49.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 77.58/49.41 tff(13128,plain,
% 77.58/49.41 ((~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13127, 714, 13101])).
% 77.58/49.41 tff(13129,plain,
% 77.58/49.41 (~v127(constB103, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13128, 13121])).
% 77.58/49.41 tff(13130,plain,
% 77.58/49.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13131,plain,
% 77.58/49.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13132,plain,
% 77.58/49.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13131, 13130])).
% 77.58/49.41 tff(13133,plain,
% 77.58/49.41 (v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13132, 732, 13112])).
% 77.58/49.41 tff(13134,plain,
% 77.58/49.41 (~v129(constB104, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13133, 13129])).
% 77.58/49.41 tff(13135,assumption,(~v129(constB104, bitIndex1)), introduced(assumption)).
% 77.58/49.41 tff(13136,plain,
% 77.58/49.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13137,plain,
% 77.58/49.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13138,plain,
% 77.58/49.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 77.58/49.41 tff(13139,plain,
% 77.58/49.41 ((~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13138, 1046, 13112])).
% 77.58/49.41 tff(13140,plain,
% 77.58/49.41 (~v127(constB103, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13139, 13135])).
% 77.58/49.41 tff(13141,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13142,plain,
% 77.58/49.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13143,plain,
% 77.58/49.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13142, 13141])).
% 77.58/49.41 tff(13144,plain,
% 77.58/49.41 ((~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13143, 1031, 13101])).
% 77.58/49.41 tff(13145,plain,
% 77.58/49.41 (~v130(constB103, bitIndex1)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13144, 13140])).
% 77.58/49.41 tff(13146,plain,
% 77.58/49.41 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB103)) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB103)) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13147,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB103)) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13148,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB103)) | v130(constB103, bitIndex1)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13147, 13146])).
% 77.58/49.41 tff(13149,plain,
% 77.58/49.41 (~v124(constB103)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13148, 1936, 13145])).
% 77.58/49.41 tff(13150,assumption,(~v130(constB103, bitIndex0)), introduced(assumption)).
% 77.58/49.41 tff(13151,plain,
% 77.58/49.41 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB103)) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB103)) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13152,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB103)) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13153,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB103)) | v130(constB103, bitIndex0)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 77.58/49.41 tff(13154,plain,
% 77.58/49.41 (~v119(constB103)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13153, 774, 13150])).
% 77.58/49.41 tff(13155,plain,
% 77.58/49.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB103)) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB103)) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13156,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB103)) | v130(constB103, bitIndex0))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13157,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB103)) | v130(constB103, bitIndex0)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 77.58/49.41 tff(13158,plain,
% 77.58/49.41 (~v121(constB103)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13157, 1362, 13150])).
% 77.58/49.41 tff(13159,plain,
% 77.58/49.41 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB103)) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB103)) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13160,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB103)) | v130(constB103, bitIndex1))),
% 77.58/49.41 inference(quant_inst,[status(thm)],[])).
% 77.58/49.41 tff(13161,plain,
% 77.58/49.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB103)) | v130(constB103, bitIndex1)),
% 77.58/49.41 inference(modus_ponens,[status(thm)],[13160, 13159])).
% 77.58/49.41 tff(13162,plain,
% 77.58/49.41 (~v120(constB103)),
% 77.58/49.41 inference(unit_resolution,[status(thm)],[13161, 1017, 13145])).
% 77.58/49.41 tff(13163,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13164,plain,
% 77.58/49.41 ((v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | v130(constB103, bitIndex0)) <=> (v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103))),
% 77.58/49.41 inference(rewrite,[status(thm)],[])).
% 77.58/49.41 tff(13165,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103)))),
% 77.58/49.41 inference(monotonicity,[status(thm)],[13164])).
% 77.58/49.41 tff(13166,plain,
% 77.58/49.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103))),
% 77.58/49.42 inference(transitivity,[status(thm)],[13165, 13163])).
% 77.58/49.42 tff(13167,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | v130(constB103, bitIndex0))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13168,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103)),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 77.58/49.42 tff(13169,plain,
% 77.58/49.42 (v130(constB103, bitIndex0) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v124(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13168, 2402, 13097])).
% 77.58/49.42 tff(13170,plain,
% 77.58/49.42 (v122(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13169, 13162, 13150, 13158, 13154, 13149])).
% 77.58/49.42 tff(13171,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13172,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13173,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13172, 13171])).
% 77.58/49.42 tff(13174,plain,
% 77.58/49.42 (v116(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13173, 1470, 13170])).
% 77.58/49.42 tff(13175,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13176,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13177,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 77.58/49.42 tff(13178,plain,
% 77.58/49.42 (v115(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13177, 519, 13174])).
% 77.58/49.42 tff(13179,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13180,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13181,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13180, 13179])).
% 77.58/49.42 tff(13182,plain,
% 77.58/49.42 (v114(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13181, 530, 13178])).
% 77.58/49.42 tff(13183,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13184,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13185,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13184, 13183])).
% 77.58/49.42 tff(13186,plain,
% 77.58/49.42 (v113(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13185, 541, 13182])).
% 77.58/49.42 tff(13187,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13188,plain,
% 77.58/49.42 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13189,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 77.58/49.42 inference(monotonicity,[status(thm)],[13188])).
% 77.58/49.42 tff(13190,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 77.58/49.42 inference(transitivity,[status(thm)],[13189, 13187])).
% 77.58/49.42 tff(13191,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13192,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13191, 13190])).
% 77.58/49.42 tff(13193,plain,
% 77.58/49.42 (v112(constB103) | (~v113(constB103))),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13192, 555, 13101])).
% 77.58/49.42 tff(13194,plain,
% 77.58/49.42 (v112(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13193, 13186])).
% 77.58/49.42 tff(13195,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13196,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13197,plain,
% 77.58/49.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13196, 13195])).
% 77.58/49.42 tff(13198,plain,
% 77.58/49.42 (v108(constB103)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13197, 464, 13194])).
% 77.58/49.42 tff(13199,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13200,plain,
% 77.58/49.42 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13201,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 77.58/49.42 inference(monotonicity,[status(thm)],[13200])).
% 77.58/49.42 tff(13202,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 77.58/49.42 inference(transitivity,[status(thm)],[13201, 13199])).
% 77.58/49.42 tff(13203,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13204,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 77.58/49.42 tff(13205,plain,
% 77.58/49.42 (v110(constB104) | (~v108(constB103))),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13204, 571, 13112])).
% 77.58/49.42 tff(13206,plain,
% 77.58/49.42 (v110(constB104)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13205, 13198])).
% 77.58/49.42 tff(13207,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13208,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13209,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 77.58/49.42 tff(13210,plain,
% 77.58/49.42 (~v104(constB104)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13209, 589, 13112, 12993])).
% 77.58/49.42 tff(13211,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13212,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13213,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 77.58/49.42 tff(13214,plain,
% 77.58/49.42 (v102(constB104) | v104(constB104)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13213, 603, 13112])).
% 77.58/49.42 tff(13215,plain,
% 77.58/49.42 (v102(constB104)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13214, 13210])).
% 77.58/49.42 tff(13216,plain,
% 77.58/49.42 (v1(constB104) <=> v1(constB104)),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13217,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 77.58/49.42 tff(13218,plain,
% 77.58/49.42 (v1(constB104)),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13217, 13216])).
% 77.58/49.42 tff(13219,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13220,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13221,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 77.58/49.42 tff(13222,plain,
% 77.58/49.42 (v101(constB104) | (~v102(constB104))),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13221, 621, 13112, 13218])).
% 77.58/49.42 tff(13223,plain,
% 77.58/49.42 (v101(constB104)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13222, 13215])).
% 77.58/49.42 tff(13224,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13225,plain,
% 77.58/49.42 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13226,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 77.58/49.42 inference(monotonicity,[status(thm)],[13225])).
% 77.58/49.42 tff(13227,plain,
% 77.58/49.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 77.58/49.42 inference(transitivity,[status(thm)],[13226, 13224])).
% 77.58/49.42 tff(13228,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13229,plain,
% 77.58/49.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 77.58/49.42 tff(13230,plain,
% 77.58/49.42 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13229, 636, 13112])).
% 77.58/49.42 tff(13231,plain,
% 77.58/49.42 (v100(constB104) | (~v110(constB104))),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13230, 13223])).
% 77.58/49.42 tff(13232,plain,
% 77.58/49.42 (v100(constB104)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13231, 13206])).
% 77.58/49.42 tff(13233,plain,
% 77.58/49.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2))),
% 77.58/49.42 inference(rewrite,[status(thm)],[])).
% 77.58/49.42 tff(13234,plain,
% 77.58/49.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))),
% 77.58/49.42 inference(quant_inst,[status(thm)],[])).
% 77.58/49.42 tff(13235,plain,
% 77.58/49.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2)),
% 77.58/49.42 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 77.58/49.42 tff(13236,plain,
% 77.58/49.42 (v130(constB103, bitIndex2)),
% 77.58/49.42 inference(unit_resolution,[status(thm)],[13235, 1417, 13170])).
% 77.58/49.42 tff(13237,plain,
% 77.58/49.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 77.58/49.43 inference(rewrite,[status(thm)],[])).
% 77.58/49.43 tff(13238,plain,
% 77.58/49.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 77.58/49.43 inference(quant_inst,[status(thm)],[])).
% 77.58/49.43 tff(13239,plain,
% 77.58/49.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 77.58/49.43 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 77.58/49.43 tff(13240,plain,
% 77.58/49.43 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 77.58/49.43 inference(unit_resolution,[status(thm)],[13239, 1431, 13101])).
% 77.58/49.43 tff(13241,plain,
% 77.58/49.43 (v127(constB103, bitIndex2)),
% 77.58/49.43 inference(unit_resolution,[status(thm)],[13240, 13236])).
% 77.58/49.43 tff(13242,plain,
% 77.58/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 77.58/49.43 inference(rewrite,[status(thm)],[])).
% 77.58/49.43 tff(13243,plain,
% 77.58/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 77.58/49.43 inference(quant_inst,[status(thm)],[])).
% 77.58/49.43 tff(13244,plain,
% 77.58/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 77.58/49.43 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 77.58/49.43 tff(13245,plain,
% 77.58/49.43 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 77.58/49.43 inference(unit_resolution,[status(thm)],[13244, 1449, 13112])).
% 77.58/49.43 tff(13246,plain,
% 77.58/49.43 (v129(constB104, bitIndex2)),
% 77.58/49.43 inference(unit_resolution,[status(thm)],[13245, 13241])).
% 77.58/49.43 tff(13247,plain,
% 77.58/49.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 77.58/49.43 inference(rewrite,[status(thm)],[])).
% 77.58/49.43 tff(13248,plain,
% 77.58/49.43 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 77.58/49.43 inference(rewrite,[status(thm)],[])).
% 77.58/49.43 tff(13249,plain,
% 77.58/49.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 77.58/49.43 inference(monotonicity,[status(thm)],[13248])).
% 77.58/49.43 tff(13250,plain,
% 77.58/49.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 77.58/49.43 inference(transitivity,[status(thm)],[13249, 13247])).
% 77.58/49.43 tff(13251,plain,
% 77.58/49.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 77.62/49.43 inference(quant_inst,[status(thm)],[])).
% 77.62/49.43 tff(13252,plain,
% 77.62/49.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13251, 13250])).
% 77.62/49.43 tff(13253,plain,
% 77.62/49.43 (v90(constB104, bitIndex2) | (~v100(constB104))),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13252, 1539, 13246])).
% 77.62/49.43 tff(13254,plain,
% 77.62/49.43 (v90(constB104, bitIndex2)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13253, 13232])).
% 77.62/49.43 tff(13255,plain,
% 77.62/49.43 ((~v1(constB105)) <=> (~v1(constB105))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13256,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 77.62/49.43 tff(13257,plain,
% 77.62/49.43 (~v1(constB105)),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 77.62/49.43 tff(13258,plain,
% 77.62/49.43 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13259,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 77.62/49.43 tff(13260,plain,
% 77.62/49.43 (nextState(constB104, constB105)),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13259, 13258])).
% 77.62/49.43 tff(13261,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13262,plain,
% 77.62/49.43 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13263,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 77.62/49.43 inference(monotonicity,[status(thm)],[13262])).
% 77.62/49.43 tff(13264,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 77.62/49.43 inference(transitivity,[status(thm)],[13263, 13261])).
% 77.62/49.43 tff(13265,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 77.62/49.43 inference(quant_inst,[status(thm)],[])).
% 77.62/49.43 tff(13266,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13265, 13264])).
% 77.62/49.43 tff(13267,plain,
% 77.62/49.43 (~v101(constB105)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13266, 307, 13260, 13257])).
% 77.62/49.43 tff(13268,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13269,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 77.62/49.43 inference(quant_inst,[status(thm)],[])).
% 77.62/49.43 tff(13270,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13269, 13268])).
% 77.62/49.43 tff(13271,plain,
% 77.62/49.43 (v101(constB105) | (~v100(constB105))),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13270, 324, 13260])).
% 77.62/49.43 tff(13272,plain,
% 77.62/49.43 (~v100(constB105)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13271, 13267])).
% 77.62/49.43 tff(13273,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13274,plain,
% 77.62/49.43 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13275,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 77.62/49.43 inference(monotonicity,[status(thm)],[13274])).
% 77.62/49.43 tff(13276,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 77.62/49.43 inference(transitivity,[status(thm)],[13275, 13273])).
% 77.62/49.43 tff(13277,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 77.62/49.43 inference(quant_inst,[status(thm)],[])).
% 77.62/49.43 tff(13278,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13277, 13276])).
% 77.62/49.43 tff(13279,plain,
% 77.62/49.43 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13278, 1575, 13260])).
% 77.62/49.43 tff(13280,plain,
% 77.62/49.43 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13279, 13272])).
% 77.62/49.43 tff(13281,plain,
% 77.62/49.43 (v90(constB105, bitIndex2)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13280, 13254])).
% 77.62/49.43 tff(13282,assumption,(~v129(constB104, bitIndex0)), introduced(assumption)).
% 77.62/49.43 tff(13283,plain,
% 77.62/49.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13284,plain,
% 77.62/49.43 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13285,plain,
% 77.62/49.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 77.62/49.43 inference(monotonicity,[status(thm)],[13284])).
% 77.62/49.43 tff(13286,plain,
% 77.62/49.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 77.62/49.43 inference(transitivity,[status(thm)],[13285, 13283])).
% 77.62/49.43 tff(13287,plain,
% 77.62/49.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 77.62/49.43 inference(quant_inst,[status(thm)],[])).
% 77.62/49.43 tff(13288,plain,
% 77.62/49.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 77.62/49.43 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 77.62/49.43 tff(13289,plain,
% 77.62/49.43 ((~v90(constB104, bitIndex0)) | (~v100(constB104))),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13288, 1145, 13282])).
% 77.62/49.43 tff(13290,plain,
% 77.62/49.43 (~v90(constB104, bitIndex0)),
% 77.62/49.43 inference(unit_resolution,[status(thm)],[13289, 13232])).
% 77.62/49.43 tff(13291,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13292,plain,
% 77.62/49.43 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 77.62/49.43 inference(rewrite,[status(thm)],[])).
% 77.62/49.43 tff(13293,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 77.62/49.43 inference(monotonicity,[status(thm)],[13292])).
% 77.62/49.43 tff(13294,plain,
% 77.62/49.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 77.62/49.43 inference(transitivity,[status(thm)],[13293, 13291])).
% 77.62/49.43 tff(13295,plain,
% 77.62/49.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13296,plain,
% 77.62/49.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13295, 13294])).
% 77.62/49.44 tff(13297,plain,
% 77.62/49.44 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13296, 381, 13260])).
% 77.62/49.44 tff(13298,plain,
% 77.62/49.44 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13297, 13272])).
% 77.62/49.44 tff(13299,plain,
% 77.62/49.44 (~v90(constB105, bitIndex0)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13298, 13290])).
% 77.62/49.44 tff(13300,plain,
% 77.62/49.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13301,plain,
% 77.62/49.44 (((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13302,plain,
% 77.62/49.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))))),
% 77.62/49.44 inference(monotonicity,[status(thm)],[13301])).
% 77.62/49.44 tff(13303,plain,
% 77.62/49.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 77.62/49.44 inference(transitivity,[status(thm)],[13302, 13300])).
% 77.62/49.44 tff(13304,plain,
% 77.62/49.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13305,plain,
% 77.62/49.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13304, 13303])).
% 77.62/49.44 tff(13306,plain,
% 77.62/49.44 ((~v90(constB104, bitIndex1)) | (~v100(constB104))),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13305, 747, 13135])).
% 77.62/49.44 tff(13307,plain,
% 77.62/49.44 (~v90(constB104, bitIndex1)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13306, 13232])).
% 77.62/49.44 tff(13308,plain,
% 77.62/49.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13309,plain,
% 77.62/49.44 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13310,plain,
% 77.62/49.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))))),
% 77.62/49.44 inference(monotonicity,[status(thm)],[13309])).
% 77.62/49.44 tff(13311,plain,
% 77.62/49.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 77.62/49.44 inference(transitivity,[status(thm)],[13310, 13308])).
% 77.62/49.44 tff(13312,plain,
% 77.62/49.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13313,plain,
% 77.62/49.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13312, 13311])).
% 77.62/49.44 tff(13314,plain,
% 77.62/49.44 (v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13313, 360, 13260])).
% 77.62/49.44 tff(13315,plain,
% 77.62/49.44 (v90(constB104, bitIndex1) | (~v90(constB105, bitIndex1))),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13314, 13272])).
% 77.62/49.44 tff(13316,plain,
% 77.62/49.44 (~v90(constB105, bitIndex1)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13315, 13307])).
% 77.62/49.44 tff(13317,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13318,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13319,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 77.62/49.44 tff(13320,plain,
% 77.62/49.44 (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2))),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13319, 1682, 13091])).
% 77.62/49.44 tff(13321,plain,
% 77.62/49.44 ($false),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13320, 13316, 13299, 13281])).
% 77.62/49.44 tff(13322,plain,(v129(constB104, bitIndex1) | v123(constB105) | v129(constB104, bitIndex0) | v130(constB103, bitIndex0) | v123(constB103)), inference(lemma,lemma(discharge,[]))).
% 77.62/49.44 tff(13323,plain,
% 77.62/49.44 ($false),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13322, 13134, 13117, 13097, 13096, 13091])).
% 77.62/49.44 tff(13324,plain,((~v122(constB103)) | v123(constB103) | v123(constB105)), inference(lemma,lemma(discharge,[]))).
% 77.62/49.44 tff(13325,plain,
% 77.62/49.44 (v123(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13324, 13090, 13021])).
% 77.62/49.44 tff(13326,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13327,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13328,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 77.62/49.44 tff(13329,plain,
% 77.62/49.44 (v115(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13328, 1693, 13325])).
% 77.62/49.44 tff(13330,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13331,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13332,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 77.62/49.44 tff(13333,plain,
% 77.62/49.44 (v114(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13332, 530, 13329])).
% 77.62/49.44 tff(13334,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13335,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13336,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 77.62/49.44 tff(13337,plain,
% 77.62/49.44 (v113(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13336, 541, 13333])).
% 77.62/49.44 tff(13338,assumption,(~v108(constB105)), introduced(assumption)).
% 77.62/49.44 tff(13339,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13340,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13341,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 77.62/49.44 tff(13342,plain,
% 77.62/49.44 (~v112(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13341, 464, 13338])).
% 77.62/49.44 tff(13343,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB105) | (~v26(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB105) | (~v26(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13344,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB105) | (~v26(constB105)))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13345,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB105) | (~v26(constB105))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 77.62/49.44 tff(13346,plain,
% 77.62/49.44 (~v26(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13345, 475, 13338])).
% 77.62/49.44 tff(13347,assumption,(v113(constB105)), introduced(assumption)).
% 77.62/49.44 tff(13348,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13349,plain,
% 77.62/49.44 ((v26(constB105) | (~v113(constB105)) | v112(constB105)) <=> (v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13350,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105))))),
% 77.62/49.44 inference(monotonicity,[status(thm)],[13349])).
% 77.62/49.44 tff(13351,plain,
% 77.62/49.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 77.62/49.44 inference(transitivity,[status(thm)],[13350, 13348])).
% 77.62/49.44 tff(13352,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13353,plain,
% 77.62/49.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105))),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 77.62/49.44 tff(13354,plain,
% 77.62/49.44 (v26(constB105) | v112(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13353, 555, 13347])).
% 77.62/49.44 tff(13355,plain,
% 77.62/49.44 ($false),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13354, 13346, 13342])).
% 77.62/49.44 tff(13356,plain,(v108(constB105) | (~v113(constB105))), inference(lemma,lemma(discharge,[]))).
% 77.62/49.44 tff(13357,plain,
% 77.62/49.44 (v108(constB105)),
% 77.62/49.44 inference(unit_resolution,[status(thm)],[13356, 13337])).
% 77.62/49.44 tff(13358,plain,
% 77.62/49.44 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13359,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 77.62/49.44 tff(13360,plain,
% 77.62/49.44 (nextState(constB105, constB106)),
% 77.62/49.44 inference(modus_ponens,[status(thm)],[13359, 13358])).
% 77.62/49.44 tff(13361,plain,
% 77.62/49.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13362,plain,
% 77.62/49.44 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 77.62/49.44 inference(rewrite,[status(thm)],[])).
% 77.62/49.44 tff(13363,plain,
% 77.62/49.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 77.62/49.44 inference(monotonicity,[status(thm)],[13362])).
% 77.62/49.44 tff(13364,plain,
% 77.62/49.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 77.62/49.44 inference(transitivity,[status(thm)],[13363, 13361])).
% 77.62/49.44 tff(13365,plain,
% 77.62/49.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 77.62/49.44 inference(quant_inst,[status(thm)],[])).
% 77.62/49.44 tff(13366,plain,
% 77.62/49.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 77.62/49.45 tff(13367,plain,
% 77.62/49.45 (v110(constB106) | (~v108(constB105))),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13366, 571, 13360])).
% 77.62/49.45 tff(13368,plain,
% 77.62/49.45 (v110(constB106)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13367, 13357])).
% 77.62/49.45 tff(13369,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13370,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13371,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13370, 13369])).
% 77.62/49.45 tff(13372,plain,
% 77.62/49.45 (~v104(constB106)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13371, 589, 13360, 13257])).
% 77.62/49.45 tff(13373,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13374,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13375,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13374, 13373])).
% 77.62/49.45 tff(13376,plain,
% 77.62/49.45 (v102(constB106) | v104(constB106)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13375, 603, 13360])).
% 77.62/49.45 tff(13377,plain,
% 77.62/49.45 (v102(constB106)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13376, 13372])).
% 77.62/49.45 tff(13378,plain,
% 77.62/49.45 (v1(constB106) <=> v1(constB106)),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13379,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 77.62/49.45 tff(13380,plain,
% 77.62/49.45 (v1(constB106)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 77.62/49.45 tff(13381,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13382,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13383,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 77.62/49.45 tff(13384,plain,
% 77.62/49.45 (v101(constB106) | (~v102(constB106))),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13383, 621, 13360, 13380])).
% 77.62/49.45 tff(13385,plain,
% 77.62/49.45 (v101(constB106)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13384, 13377])).
% 77.62/49.45 tff(13386,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13387,plain,
% 77.62/49.45 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13388,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 77.62/49.45 inference(monotonicity,[status(thm)],[13387])).
% 77.62/49.45 tff(13389,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 77.62/49.45 inference(transitivity,[status(thm)],[13388, 13386])).
% 77.62/49.45 tff(13390,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13391,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 77.62/49.45 tff(13392,plain,
% 77.62/49.45 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13391, 636, 13360])).
% 77.62/49.45 tff(13393,plain,
% 77.62/49.45 (v100(constB106) | (~v110(constB106))),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13392, 13385])).
% 77.62/49.45 tff(13394,plain,
% 77.62/49.45 (v100(constB106)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13393, 13368])).
% 77.62/49.45 tff(13395,plain,
% 77.62/49.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13396,plain,
% 77.62/49.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13397,plain,
% 77.62/49.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 77.62/49.45 tff(13398,plain,
% 77.62/49.45 (v130(constB105, bitIndex2)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13397, 1877, 13325])).
% 77.62/49.45 tff(13399,assumption,(v26(constB105)), introduced(assumption)).
% 77.62/49.45 tff(13400,plain,
% 77.62/49.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13401,plain,
% 77.62/49.45 ($false),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13400, 14, 13399])).
% 77.62/49.45 tff(13402,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 77.62/49.45 tff(13403,plain,
% 77.62/49.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13404,plain,
% 77.62/49.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13405,plain,
% 77.62/49.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 77.62/49.45 tff(13406,plain,
% 77.62/49.45 ((~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13405, 1431, 13402])).
% 77.62/49.45 tff(13407,plain,
% 77.62/49.45 (v127(constB105, bitIndex2)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13406, 13398])).
% 77.62/49.45 tff(13408,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13409,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13410,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 77.62/49.45 tff(13411,plain,
% 77.62/49.45 ((~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13410, 1449, 13360])).
% 77.62/49.45 tff(13412,plain,
% 77.62/49.45 (v129(constB106, bitIndex2)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13411, 13407])).
% 77.62/49.45 tff(13413,plain,
% 77.62/49.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13414,plain,
% 77.62/49.45 ((v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13415,plain,
% 77.62/49.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))))),
% 77.62/49.45 inference(monotonicity,[status(thm)],[13414])).
% 77.62/49.45 tff(13416,plain,
% 77.62/49.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 77.62/49.45 inference(transitivity,[status(thm)],[13415, 13413])).
% 77.62/49.45 tff(13417,plain,
% 77.62/49.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13418,plain,
% 77.62/49.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13417, 13416])).
% 77.62/49.45 tff(13419,plain,
% 77.62/49.45 (v90(constB106, bitIndex2) | (~v100(constB106))),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13418, 1539, 13412])).
% 77.62/49.45 tff(13420,plain,
% 77.62/49.45 (v90(constB106, bitIndex2)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13419, 13394])).
% 77.62/49.45 tff(13421,plain,
% 77.62/49.45 ((~v1(constB107)) <=> (~v1(constB107))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13422,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 77.62/49.45 tff(13423,plain,
% 77.62/49.45 (~v1(constB107)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13422, 13421])).
% 77.62/49.45 tff(13424,plain,
% 77.62/49.45 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13425,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 77.62/49.45 tff(13426,plain,
% 77.62/49.45 (nextState(constB106, constB107)),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13425, 13424])).
% 77.62/49.45 tff(13427,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13428,plain,
% 77.62/49.45 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13429,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 77.62/49.45 inference(monotonicity,[status(thm)],[13428])).
% 77.62/49.45 tff(13430,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 77.62/49.45 inference(transitivity,[status(thm)],[13429, 13427])).
% 77.62/49.45 tff(13431,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 77.62/49.45 inference(quant_inst,[status(thm)],[])).
% 77.62/49.45 tff(13432,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 77.62/49.45 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 77.62/49.45 tff(13433,plain,
% 77.62/49.45 (~v101(constB107)),
% 77.62/49.45 inference(unit_resolution,[status(thm)],[13432, 307, 13426, 13423])).
% 77.62/49.45 tff(13434,plain,
% 77.62/49.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 77.62/49.45 inference(rewrite,[status(thm)],[])).
% 77.62/49.45 tff(13435,plain,
% 77.62/49.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 77.62/49.46 inference(quant_inst,[status(thm)],[])).
% 77.62/49.46 tff(13436,plain,
% 77.62/49.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 77.62/49.46 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 77.62/49.46 tff(13437,plain,
% 77.62/49.46 (v101(constB107) | (~v100(constB107))),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13436, 324, 13426])).
% 77.62/49.46 tff(13438,plain,
% 77.62/49.46 (~v100(constB107)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13437, 13433])).
% 77.62/49.46 tff(13439,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13440,plain,
% 77.62/49.46 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13441,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)))),
% 77.62/49.46 inference(monotonicity,[status(thm)],[13440])).
% 77.62/49.46 tff(13442,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 77.62/49.46 inference(transitivity,[status(thm)],[13441, 13439])).
% 77.62/49.46 tff(13443,plain,
% 77.62/49.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))),
% 77.62/49.46 inference(quant_inst,[status(thm)],[])).
% 77.62/49.46 tff(13444,plain,
% 77.62/49.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)),
% 77.62/49.46 inference(modus_ponens,[status(thm)],[13443, 13442])).
% 77.62/49.46 tff(13445,plain,
% 77.62/49.46 ((~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13444, 1575, 13426])).
% 77.62/49.46 tff(13446,plain,
% 77.62/49.46 ((~v90(constB106, bitIndex2)) | v90(constB107, bitIndex2)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13445, 13438])).
% 77.62/49.46 tff(13447,plain,
% 77.62/49.46 (v90(constB107, bitIndex2)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13446, 13420])).
% 77.62/49.46 tff(13448,plain,
% 77.62/49.46 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13449,plain,
% 77.62/49.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 77.62/49.46 inference(quant_inst,[status(thm)],[])).
% 77.62/49.46 tff(13450,plain,
% 77.62/49.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1))),
% 77.62/49.46 inference(modus_ponens,[status(thm)],[13449, 13448])).
% 77.62/49.46 tff(13451,plain,
% 77.62/49.46 (~v130(constB105, bitIndex1)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13450, 1765, 13325])).
% 77.62/49.46 tff(13452,plain,
% 77.62/49.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13453,plain,
% 77.62/49.46 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13454,plain,
% 77.62/49.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 77.62/49.46 inference(monotonicity,[status(thm)],[13453])).
% 77.62/49.46 tff(13455,plain,
% 77.62/49.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 77.62/49.46 inference(transitivity,[status(thm)],[13454, 13452])).
% 77.62/49.46 tff(13456,plain,
% 77.62/49.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 77.62/49.46 inference(quant_inst,[status(thm)],[])).
% 77.62/49.46 tff(13457,plain,
% 77.62/49.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 77.62/49.46 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 77.62/49.46 tff(13458,plain,
% 77.62/49.46 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13457, 714, 13402])).
% 77.62/49.46 tff(13459,plain,
% 77.62/49.46 (~v127(constB105, bitIndex1)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13458, 13451])).
% 77.62/49.46 tff(13460,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13461,plain,
% 77.62/49.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 77.62/49.46 inference(quant_inst,[status(thm)],[])).
% 77.62/49.46 tff(13462,plain,
% 77.62/49.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 77.62/49.46 inference(modus_ponens,[status(thm)],[13461, 13460])).
% 77.62/49.46 tff(13463,plain,
% 77.62/49.46 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13462, 732, 13360])).
% 77.62/49.46 tff(13464,plain,
% 77.62/49.46 (~v129(constB106, bitIndex1)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13463, 13459])).
% 77.62/49.46 tff(13465,plain,
% 77.62/49.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13466,plain,
% 77.62/49.46 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13467,plain,
% 77.62/49.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 77.62/49.46 inference(monotonicity,[status(thm)],[13466])).
% 77.62/49.46 tff(13468,plain,
% 77.62/49.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 77.62/49.46 inference(transitivity,[status(thm)],[13467, 13465])).
% 77.62/49.46 tff(13469,plain,
% 77.62/49.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 77.62/49.46 inference(quant_inst,[status(thm)],[])).
% 77.62/49.46 tff(13470,plain,
% 77.62/49.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 77.62/49.46 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 77.62/49.46 tff(13471,plain,
% 77.62/49.46 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13470, 747, 13464])).
% 77.62/49.46 tff(13472,plain,
% 77.62/49.46 (~v90(constB106, bitIndex1)),
% 77.62/49.46 inference(unit_resolution,[status(thm)],[13471, 13394])).
% 77.62/49.46 tff(13473,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13474,plain,
% 77.62/49.46 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 77.62/49.46 inference(rewrite,[status(thm)],[])).
% 77.62/49.46 tff(13475,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 77.62/49.46 inference(monotonicity,[status(thm)],[13474])).
% 77.62/49.46 tff(13476,plain,
% 77.62/49.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 77.62/49.47 inference(transitivity,[status(thm)],[13475, 13473])).
% 77.62/49.47 tff(13477,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13478,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 77.62/49.47 tff(13479,plain,
% 77.62/49.47 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13478, 360, 13426])).
% 77.62/49.47 tff(13480,plain,
% 77.62/49.47 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13479, 13438])).
% 77.62/49.47 tff(13481,plain,
% 77.62/49.47 (~v90(constB107, bitIndex1)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13480, 13472])).
% 77.62/49.47 tff(13482,plain,
% 77.62/49.47 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13483,plain,
% 77.62/49.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13484,plain,
% 77.62/49.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13483, 13482])).
% 77.62/49.47 tff(13485,plain,
% 77.62/49.47 (v130(constB105, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13484, 1836, 13325])).
% 77.62/49.47 tff(13486,plain,
% 77.62/49.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13487,plain,
% 77.62/49.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13488,plain,
% 77.62/49.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 77.62/49.47 tff(13489,plain,
% 77.62/49.47 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13488, 788, 13402])).
% 77.62/49.47 tff(13490,plain,
% 77.62/49.47 (v127(constB105, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13489, 13485])).
% 77.62/49.47 tff(13491,plain,
% 77.62/49.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13492,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13493,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 77.62/49.47 tff(13494,plain,
% 77.62/49.47 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13493, 803, 13360])).
% 77.62/49.47 tff(13495,plain,
% 77.62/49.47 (v129(constB106, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13494, 13490])).
% 77.62/49.47 tff(13496,plain,
% 77.62/49.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13497,plain,
% 77.62/49.47 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13498,plain,
% 77.62/49.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 77.62/49.47 inference(monotonicity,[status(thm)],[13497])).
% 77.62/49.47 tff(13499,plain,
% 77.62/49.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 77.62/49.47 inference(transitivity,[status(thm)],[13498, 13496])).
% 77.62/49.47 tff(13500,plain,
% 77.62/49.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13501,plain,
% 77.62/49.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13500, 13499])).
% 77.62/49.47 tff(13502,plain,
% 77.62/49.47 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13501, 818, 13495])).
% 77.62/49.47 tff(13503,plain,
% 77.62/49.47 (v90(constB106, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13502, 13394])).
% 77.62/49.47 tff(13504,plain,
% 77.62/49.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13505,plain,
% 77.62/49.47 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13506,plain,
% 77.62/49.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 77.62/49.47 inference(monotonicity,[status(thm)],[13505])).
% 77.62/49.47 tff(13507,plain,
% 77.62/49.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 77.62/49.47 inference(transitivity,[status(thm)],[13506, 13504])).
% 77.62/49.47 tff(13508,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13509,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13508, 13507])).
% 77.62/49.47 tff(13510,plain,
% 77.62/49.47 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13509, 836, 13426])).
% 77.62/49.47 tff(13511,plain,
% 77.62/49.47 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13510, 13438])).
% 77.62/49.47 tff(13512,plain,
% 77.62/49.47 (v90(constB107, bitIndex0)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13511, 13503])).
% 77.62/49.47 tff(13513,plain,
% 77.62/49.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13514,plain,
% 77.62/49.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13515,plain,
% 77.62/49.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 77.62/49.47 tff(13516,plain,
% 77.62/49.47 (v124(constB107)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13515, 1919, 13512, 13481, 13447])).
% 77.62/49.47 tff(13517,plain,
% 77.62/49.47 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13518,plain,
% 77.62/49.47 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13519,plain,
% 77.62/49.47 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 77.62/49.47 tff(13520,plain,
% 77.62/49.47 (v130(constB107, bitIndex2)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13519, 2050, 13516])).
% 77.62/49.47 tff(13521,assumption,(v26(constB107)), introduced(assumption)).
% 77.62/49.47 tff(13522,plain,
% 77.62/49.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13523,plain,
% 77.62/49.47 ($false),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13522, 14, 13521])).
% 77.62/49.47 tff(13524,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 77.62/49.47 tff(13525,plain,
% 77.62/49.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13526,plain,
% 77.62/49.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13527,plain,
% 77.62/49.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13526, 13525])).
% 77.62/49.47 tff(13528,plain,
% 77.62/49.47 ((~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13527, 1431, 13524])).
% 77.62/49.47 tff(13529,plain,
% 77.62/49.47 (v127(constB107, bitIndex2)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13528, 13520])).
% 77.62/49.47 tff(13530,plain,
% 77.62/49.47 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13531,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 77.62/49.47 tff(13532,plain,
% 77.62/49.47 (nextState(constB107, constB108)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13531, 13530])).
% 77.62/49.47 tff(13533,plain,
% 77.62/49.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13534,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13535,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 77.62/49.47 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 77.62/49.47 tff(13536,plain,
% 77.62/49.47 ((~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13535, 1449, 13532])).
% 77.62/49.47 tff(13537,plain,
% 77.62/49.47 (v129(constB108, bitIndex2)),
% 77.62/49.47 inference(unit_resolution,[status(thm)],[13536, 13529])).
% 77.62/49.47 tff(13538,assumption,(~v100(constB108)), introduced(assumption)).
% 77.62/49.47 tff(13539,plain,
% 77.62/49.47 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 77.62/49.47 inference(rewrite,[status(thm)],[])).
% 77.62/49.47 tff(13540,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 77.62/49.47 inference(quant_inst,[status(thm)],[])).
% 77.62/49.47 tff(13541,plain,
% 77.62/49.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 77.62/49.48 tff(13542,plain,
% 77.62/49.48 (~v104(constB108)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13541, 589, 13532, 13423])).
% 77.62/49.48 tff(13543,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13544,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13545,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13544, 13543])).
% 77.62/49.48 tff(13546,plain,
% 77.62/49.48 (v102(constB108) | v104(constB108)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13545, 603, 13532])).
% 77.62/49.48 tff(13547,plain,
% 77.62/49.48 (v102(constB108)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13546, 13542])).
% 77.62/49.48 tff(13548,plain,
% 77.62/49.48 (v1(constB108) <=> v1(constB108)),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13549,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 77.62/49.48 tff(13550,plain,
% 77.62/49.48 (v1(constB108)),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 77.62/49.48 tff(13551,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13552,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13553,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 77.62/49.48 tff(13554,plain,
% 77.62/49.48 (v101(constB108) | (~v102(constB108))),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13553, 621, 13532, 13550])).
% 77.62/49.48 tff(13555,plain,
% 77.62/49.48 (v101(constB108)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13554, 13547])).
% 77.62/49.48 tff(13556,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13557,plain,
% 77.62/49.48 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13558,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 77.62/49.48 inference(monotonicity,[status(thm)],[13557])).
% 77.62/49.48 tff(13559,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 77.62/49.48 inference(transitivity,[status(thm)],[13558, 13556])).
% 77.62/49.48 tff(13560,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13561,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13560, 13559])).
% 77.62/49.48 tff(13562,plain,
% 77.62/49.48 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13561, 636, 13532])).
% 77.62/49.48 tff(13563,plain,
% 77.62/49.48 (v100(constB108) | (~v110(constB108))),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13562, 13555])).
% 77.62/49.48 tff(13564,plain,
% 77.62/49.48 (~v110(constB108)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13563, 13538])).
% 77.62/49.48 tff(13565,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13566,plain,
% 77.62/49.48 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13567,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 77.62/49.48 inference(monotonicity,[status(thm)],[13566])).
% 77.62/49.48 tff(13568,plain,
% 77.62/49.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 77.62/49.48 inference(transitivity,[status(thm)],[13567, 13565])).
% 77.62/49.48 tff(13569,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13570,plain,
% 77.62/49.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13569, 13568])).
% 77.62/49.48 tff(13571,plain,
% 77.62/49.48 (v110(constB108) | (~v108(constB107))),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13570, 571, 13532])).
% 77.62/49.48 tff(13572,plain,
% 77.62/49.48 (~v108(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13571, 13564])).
% 77.62/49.48 tff(13573,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13574,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13575,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 77.62/49.48 tff(13576,plain,
% 77.62/49.48 (~v112(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13575, 464, 13572])).
% 77.62/49.48 tff(13577,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13578,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13579,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 77.62/49.48 tff(13580,plain,
% 77.62/49.48 ((~v113(constB107)) | v112(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13579, 555, 13524])).
% 77.62/49.48 tff(13581,plain,
% 77.62/49.48 (~v113(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13580, 13576])).
% 77.62/49.48 tff(13582,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13583,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13584,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 77.62/49.48 tff(13585,plain,
% 77.62/49.48 (~v114(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13584, 541, 13581])).
% 77.62/49.48 tff(13586,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13587,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13588,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 77.62/49.48 tff(13589,plain,
% 77.62/49.48 (~v115(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13588, 530, 13585])).
% 77.62/49.48 tff(13590,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB107) | (~v123(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB107) | (~v123(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13591,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB107) | (~v123(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13592,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB107) | (~v123(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 77.62/49.48 tff(13593,plain,
% 77.62/49.48 (~v123(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13592, 1693, 13589])).
% 77.62/49.48 tff(13594,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13595,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13596,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13595, 13594])).
% 77.62/49.48 tff(13597,plain,
% 77.62/49.48 (~v116(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13596, 519, 13589])).
% 77.62/49.48 tff(13598,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13599,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13600,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 77.62/49.48 tff(13601,plain,
% 77.62/49.48 (~v117(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13600, 508, 13597])).
% 77.62/49.48 tff(13602,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13603,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13604,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13603, 13602])).
% 77.62/49.48 tff(13605,plain,
% 77.62/49.48 (~v118(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13604, 497, 13601])).
% 77.62/49.48 tff(13606,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB107) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB107) | (~v119(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13607,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB107) | (~v119(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13608,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB107) | (~v119(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13607, 13606])).
% 77.62/49.48 tff(13609,plain,
% 77.62/49.48 (~v119(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13608, 486, 13605])).
% 77.62/49.48 tff(13610,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13611,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13612,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13611, 13610])).
% 77.62/49.48 tff(13613,plain,
% 77.62/49.48 (~v124(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13612, 1951, 13585])).
% 77.62/49.48 tff(13614,plain,
% 77.62/49.48 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107)))),
% 77.62/49.48 inference(rewrite,[status(thm)],[])).
% 77.62/49.48 tff(13615,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))),
% 77.62/49.48 inference(quant_inst,[status(thm)],[])).
% 77.62/49.48 tff(13616,plain,
% 77.62/49.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107))),
% 77.62/49.48 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 77.62/49.48 tff(13617,plain,
% 77.62/49.48 (~v120(constB107)),
% 77.62/49.48 inference(unit_resolution,[status(thm)],[13616, 908, 13605])).
% 77.62/49.48 tff(13618,assumption,(~v90(constB107, bitIndex1)), introduced(assumption)).
% 77.62/49.48 tff(13619,assumption,(~v123(constB107)), introduced(assumption)).
% 77.62/49.48 tff(13620,assumption,(~v119(constB107)), introduced(assumption)).
% 77.62/49.49 tff(13621,assumption,(~v90(constB107, bitIndex0)), introduced(assumption)).
% 77.62/49.49 tff(13622,plain,
% 77.62/49.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13623,plain,
% 77.62/49.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107))),
% 77.62/49.49 inference(quant_inst,[status(thm)],[])).
% 77.62/49.49 tff(13624,plain,
% 77.62/49.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107)),
% 77.62/49.49 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 77.62/49.49 tff(13625,plain,
% 77.62/49.49 (v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2))),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13624, 1682, 13619])).
% 77.62/49.49 tff(13626,plain,
% 77.62/49.49 (~v90(constB107, bitIndex2)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13625, 13621, 13618])).
% 77.62/49.49 tff(13627,plain,
% 77.62/49.49 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13628,plain,
% 77.62/49.49 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 77.62/49.49 inference(quant_inst,[status(thm)],[])).
% 77.62/49.49 tff(13629,plain,
% 77.62/49.49 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)),
% 77.62/49.49 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 77.62/49.49 tff(13630,plain,
% 77.62/49.49 (v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13629, 402, 13620])).
% 77.62/49.49 tff(13631,plain,
% 77.62/49.49 ($false),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13630, 13626, 13621, 13618])).
% 77.62/49.49 tff(13632,plain,(v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v119(constB107) | v123(constB107)), inference(lemma,lemma(discharge,[]))).
% 77.62/49.49 tff(13633,plain,
% 77.62/49.49 (v90(constB107, bitIndex0)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13632, 13618, 13620, 13619])).
% 77.62/49.49 tff(13634,assumption,(~v124(constB107)), introduced(assumption)).
% 77.62/49.49 tff(13635,plain,
% 77.62/49.49 ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2))),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13515, 1919, 13634])).
% 77.62/49.49 tff(13636,plain,
% 77.62/49.49 (~v90(constB107, bitIndex2)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13635, 13633, 13618])).
% 77.62/49.49 tff(13637,assumption,(~v120(constB107)), introduced(assumption)).
% 77.62/49.49 tff(13638,plain,
% 77.62/49.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13639,plain,
% 77.62/49.49 (((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)) <=> ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13640,plain,
% 77.62/49.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)))),
% 77.62/49.49 inference(monotonicity,[status(thm)],[13639])).
% 77.62/49.49 tff(13641,plain,
% 77.62/49.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 77.62/49.49 inference(transitivity,[status(thm)],[13640, 13638])).
% 77.62/49.49 tff(13642,plain,
% 77.62/49.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 77.62/49.49 inference(quant_inst,[status(thm)],[])).
% 77.62/49.49 tff(13643,plain,
% 77.62/49.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)),
% 77.62/49.49 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 77.62/49.49 tff(13644,plain,
% 77.62/49.49 ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13643, 855, 13637])).
% 77.62/49.49 tff(13645,plain,
% 77.62/49.49 ($false),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13644, 13636, 13633, 13618])).
% 77.62/49.49 tff(13646,plain,(v90(constB107, bitIndex1) | v120(constB107) | v124(constB107) | v119(constB107) | v123(constB107)), inference(lemma,lemma(discharge,[]))).
% 77.62/49.49 tff(13647,plain,
% 77.62/49.49 (v90(constB107, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13646, 13617, 13613, 13609, 13593])).
% 77.62/49.49 tff(13648,assumption,(~v130(constB105, bitIndex1)), introduced(assumption)).
% 77.62/49.49 tff(13649,assumption,(v100(constB106)), introduced(assumption)).
% 77.62/49.49 tff(13650,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13651,plain,
% 77.62/49.49 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1)) <=> ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13652,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1)))),
% 77.62/49.49 inference(monotonicity,[status(thm)],[13651])).
% 77.62/49.49 tff(13653,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 77.62/49.49 inference(transitivity,[status(thm)],[13652, 13650])).
% 77.62/49.49 tff(13654,plain,
% 77.62/49.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))),
% 77.62/49.49 inference(quant_inst,[status(thm)],[])).
% 77.62/49.49 tff(13655,plain,
% 77.62/49.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1)),
% 77.62/49.49 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 77.62/49.49 tff(13656,plain,
% 77.62/49.49 ((~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13655, 1079, 13532])).
% 77.62/49.49 tff(13657,plain,
% 77.62/49.49 (v90(constB108, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13656, 13647, 13538])).
% 77.62/49.49 tff(13658,assumption,(v90(constB108, bitIndex1)), introduced(assumption)).
% 77.62/49.49 tff(13659,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13660,plain,
% 77.62/49.49 (((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1))) <=> (v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13661,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1))))),
% 77.62/49.49 inference(monotonicity,[status(thm)],[13660])).
% 77.62/49.49 tff(13662,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 77.62/49.49 inference(transitivity,[status(thm)],[13661, 13659])).
% 77.62/49.49 tff(13663,plain,
% 77.62/49.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 77.62/49.49 inference(quant_inst,[status(thm)],[])).
% 77.62/49.49 tff(13664,plain,
% 77.62/49.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1))),
% 77.62/49.49 inference(modus_ponens,[status(thm)],[13663, 13662])).
% 77.62/49.49 tff(13665,plain,
% 77.62/49.49 (v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1))),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13664, 360, 13532])).
% 77.62/49.49 tff(13666,plain,
% 77.62/49.49 (v90(constB107, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13665, 13538, 13658])).
% 77.62/49.49 tff(13667,plain,
% 77.62/49.49 (v90(constB106, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13480, 13666])).
% 77.62/49.49 tff(13668,plain,
% 77.62/49.49 ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13470, 747, 13649])).
% 77.62/49.49 tff(13669,plain,
% 77.62/49.49 (v129(constB106, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13668, 13667])).
% 77.62/49.49 tff(13670,plain,
% 77.62/49.49 (v127(constB105, bitIndex1)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13463, 13669])).
% 77.62/49.49 tff(13671,plain,
% 77.62/49.49 ((~v127(constB105, bitIndex1)) | v26(constB105)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13457, 714, 13648])).
% 77.62/49.49 tff(13672,plain,
% 77.62/49.49 (v26(constB105)),
% 77.62/49.49 inference(unit_resolution,[status(thm)],[13671, 13670])).
% 77.62/49.49 tff(13673,assumption,(v90(constB108, bitIndex0)), introduced(assumption)).
% 77.62/49.49 tff(13674,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13675,plain,
% 77.62/49.49 (((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0))) <=> (v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 77.62/49.49 inference(rewrite,[status(thm)],[])).
% 77.62/49.49 tff(13676,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0))))),
% 77.62/49.49 inference(monotonicity,[status(thm)],[13675])).
% 77.62/49.49 tff(13677,plain,
% 77.62/49.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 77.62/49.49 inference(transitivity,[status(thm)],[13676, 13674])).
% 77.62/49.49 tff(13678,plain,
% 77.62/49.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 77.62/49.49 inference(quant_inst,[status(thm)],[])).
% 77.62/49.49 tff(13679,plain,
% 77.62/49.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0))),
% 77.62/49.49 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 77.62/49.49 tff(13680,plain,
% 77.62/49.50 (v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0))),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13679, 381, 13532])).
% 77.62/49.50 tff(13681,plain,
% 77.62/49.50 (v90(constB107, bitIndex0)),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13680, 13538, 13673])).
% 77.62/49.50 tff(13682,plain,
% 77.62/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 77.62/49.50 inference(rewrite,[status(thm)],[])).
% 77.62/49.50 tff(13683,plain,
% 77.62/49.50 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 77.62/49.50 inference(rewrite,[status(thm)],[])).
% 77.62/49.50 tff(13684,plain,
% 77.62/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0))))),
% 77.62/49.50 inference(monotonicity,[status(thm)],[13683])).
% 77.62/49.50 tff(13685,plain,
% 77.62/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 77.62/49.50 inference(transitivity,[status(thm)],[13684, 13682])).
% 77.62/49.50 tff(13686,plain,
% 77.62/49.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 77.62/49.50 inference(quant_inst,[status(thm)],[])).
% 77.62/49.50 tff(13687,plain,
% 77.62/49.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0))),
% 77.62/49.50 inference(modus_ponens,[status(thm)],[13686, 13685])).
% 77.62/49.50 tff(13688,plain,
% 77.62/49.50 (v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0))),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13687, 381, 13426])).
% 77.62/49.50 tff(13689,plain,
% 77.62/49.50 (v90(constB106, bitIndex0) | (~v90(constB107, bitIndex0))),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13688, 13438])).
% 77.62/49.50 tff(13690,plain,
% 77.62/49.50 (v90(constB106, bitIndex0)),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13689, 13681])).
% 77.62/49.50 tff(13691,plain,
% 77.62/49.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))),
% 77.62/49.50 inference(rewrite,[status(thm)],[])).
% 77.62/49.50 tff(13692,plain,
% 77.62/49.50 (((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))),
% 77.62/49.50 inference(rewrite,[status(thm)],[])).
% 77.62/49.50 tff(13693,plain,
% 77.62/49.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106))))),
% 77.62/49.50 inference(monotonicity,[status(thm)],[13692])).
% 77.62/49.50 tff(13694,plain,
% 77.62/49.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))),
% 77.62/49.50 inference(transitivity,[status(thm)],[13693, 13691])).
% 77.62/49.50 tff(13695,plain,
% 77.62/49.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0))),
% 77.62/49.50 inference(quant_inst,[status(thm)],[])).
% 77.62/49.50 tff(13696,plain,
% 77.62/49.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106))),
% 77.62/49.50 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 77.62/49.50 tff(13697,plain,
% 77.62/49.50 ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0)),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13696, 1145, 13649])).
% 77.62/49.50 tff(13698,plain,
% 77.62/49.50 (v129(constB106, bitIndex0)),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13697, 13690])).
% 77.62/49.50 tff(13699,plain,
% 77.62/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0)))),
% 77.62/49.50 inference(rewrite,[status(thm)],[])).
% 77.62/49.50 tff(13700,plain,
% 77.62/49.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0)))),
% 77.62/49.50 inference(quant_inst,[status(thm)],[])).
% 77.62/49.50 tff(13701,plain,
% 77.62/49.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0))),
% 77.62/49.50 inference(modus_ponens,[status(thm)],[13700, 13699])).
% 77.62/49.50 tff(13702,plain,
% 77.62/49.50 (v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0))),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13701, 1130, 13360])).
% 77.62/49.50 tff(13703,plain,
% 77.62/49.50 (v127(constB105, bitIndex0)),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13702, 13698])).
% 77.62/49.50 tff(13704,plain,
% 77.62/49.50 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB105)) | (~v127(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB105)) | (~v127(constB105, bitIndex0)))),
% 77.62/49.50 inference(rewrite,[status(thm)],[])).
% 77.62/49.50 tff(13705,plain,
% 77.62/49.50 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB105)) | (~v127(constB105, bitIndex0)))),
% 77.62/49.50 inference(quant_inst,[status(thm)],[])).
% 77.62/49.50 tff(13706,plain,
% 77.62/49.50 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB105)) | (~v127(constB105, bitIndex0))),
% 77.62/49.50 inference(modus_ponens,[status(thm)],[13705, 13704])).
% 77.62/49.50 tff(13707,plain,
% 77.62/49.50 ($false),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13706, 2992, 13703, 13672])).
% 77.62/49.50 tff(13708,plain,(v100(constB108) | v130(constB105, bitIndex1) | (~v100(constB106)) | (~v90(constB108, bitIndex1)) | (~v90(constB108, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.62/49.50 tff(13709,plain,
% 77.62/49.50 (~v90(constB108, bitIndex0)),
% 77.62/49.50 inference(unit_resolution,[status(thm)],[13708, 13657, 13649, 13648, 13538])).
% 77.69/49.50 tff(13710,plain,
% 77.69/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 77.69/49.50 inference(rewrite,[status(thm)],[])).
% 77.69/49.50 tff(13711,plain,
% 77.69/49.50 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0)) <=> ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 77.69/49.50 inference(rewrite,[status(thm)],[])).
% 77.69/49.50 tff(13712,plain,
% 77.69/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0)))),
% 77.69/49.50 inference(monotonicity,[status(thm)],[13711])).
% 77.69/49.50 tff(13713,plain,
% 77.69/49.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 77.69/49.50 inference(transitivity,[status(thm)],[13712, 13710])).
% 77.69/49.50 tff(13714,plain,
% 77.69/49.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))),
% 77.69/49.50 inference(quant_inst,[status(thm)],[])).
% 77.69/49.50 tff(13715,plain,
% 77.69/49.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0)),
% 77.69/49.50 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 77.69/49.50 tff(13716,plain,
% 77.69/49.50 ((~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0)),
% 77.69/49.50 inference(unit_resolution,[status(thm)],[13715, 836, 13532])).
% 77.69/49.50 tff(13717,plain,
% 77.69/49.50 (~v90(constB107, bitIndex0)),
% 77.69/49.50 inference(unit_resolution,[status(thm)],[13716, 13709, 13538])).
% 77.69/49.50 tff(13718,plain,
% 77.69/49.50 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB107) | (~v125(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB107) | (~v125(constB107)))),
% 77.69/49.50 inference(rewrite,[status(thm)],[])).
% 77.69/49.50 tff(13719,plain,
% 77.69/49.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB107) | (~v125(constB107)))),
% 77.69/49.50 inference(quant_inst,[status(thm)],[])).
% 77.69/49.50 tff(13720,plain,
% 77.69/49.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB107) | (~v125(constB107))),
% 77.69/49.50 inference(modus_ponens,[status(thm)],[13719, 13718])).
% 77.69/49.50 tff(13721,plain,
% 77.69/49.50 (~v125(constB107)),
% 77.69/49.50 inference(unit_resolution,[status(thm)],[13720, 2167, 13581])).
% 77.69/49.50 tff(13722,plain,
% 77.69/49.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107))),
% 77.69/49.50 inference(rewrite,[status(thm)],[])).
% 77.69/49.50 tff(13723,plain,
% 77.69/49.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107))),
% 77.69/49.50 inference(quant_inst,[status(thm)],[])).
% 77.69/49.50 tff(13724,plain,
% 77.69/49.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107)),
% 77.69/49.50 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 77.69/49.50 tff(13725,plain,
% 77.69/49.50 (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2))),
% 77.69/49.50 inference(unit_resolution,[status(thm)],[13724, 2156, 13721])).
% 77.69/49.50 tff(13726,plain,
% 77.69/49.50 (~v90(constB107, bitIndex2)),
% 77.69/49.50 inference(unit_resolution,[status(thm)],[13725, 13717, 13647])).
% 77.69/49.50 tff(13727,plain,
% 77.69/49.50 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB107) | (~v121(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB107) | (~v121(constB107)))),
% 77.69/49.50 inference(rewrite,[status(thm)],[])).
% 77.69/49.50 tff(13728,plain,
% 77.69/49.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB107) | (~v121(constB107)))),
% 77.69/49.50 inference(quant_inst,[status(thm)],[])).
% 77.69/49.50 tff(13729,plain,
% 77.69/49.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB107) | (~v121(constB107))),
% 77.69/49.50 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 77.69/49.50 tff(13730,plain,
% 77.69/49.50 (~v121(constB107)),
% 77.69/49.50 inference(unit_resolution,[status(thm)],[13729, 1183, 13601])).
% 77.69/49.50 tff(13731,plain,
% 77.69/49.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13732,plain,
% 77.69/49.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13733,plain,
% 77.69/49.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 77.69/49.51 tff(13734,plain,
% 77.69/49.51 (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13733, 1172, 13730])).
% 77.69/49.51 tff(13735,plain,
% 77.69/49.51 ($false),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13734, 13726, 13717, 13647])).
% 77.69/49.51 tff(13736,plain,(v100(constB108) | (~v100(constB106)) | v130(constB105, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 77.69/49.51 tff(13737,plain,
% 77.69/49.51 (v100(constB108)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13736, 13394, 13451])).
% 77.69/49.51 tff(13738,plain,
% 77.69/49.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13739,plain,
% 77.69/49.51 ((v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13740,plain,
% 77.69/49.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))))),
% 77.69/49.51 inference(monotonicity,[status(thm)],[13739])).
% 77.69/49.51 tff(13741,plain,
% 77.69/49.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 77.69/49.51 inference(transitivity,[status(thm)],[13740, 13738])).
% 77.69/49.51 tff(13742,plain,
% 77.69/49.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13743,plain,
% 77.69/49.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13742, 13741])).
% 77.69/49.51 tff(13744,plain,
% 77.69/49.51 (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13743, 1539, 13737])).
% 77.69/49.51 tff(13745,plain,
% 77.69/49.51 (v90(constB108, bitIndex2)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13744, 13537])).
% 77.69/49.51 tff(13746,plain,
% 77.69/49.51 ((~v1(constB109)) <=> (~v1(constB109))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13747,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 77.69/49.51 tff(13748,plain,
% 77.69/49.51 (~v1(constB109)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13747, 13746])).
% 77.69/49.51 tff(13749,plain,
% 77.69/49.51 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13750,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 77.69/49.51 tff(13751,plain,
% 77.69/49.51 (nextState(constB108, constB109)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 77.69/49.51 tff(13752,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13753,plain,
% 77.69/49.51 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13754,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 77.69/49.51 inference(monotonicity,[status(thm)],[13753])).
% 77.69/49.51 tff(13755,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 77.69/49.51 inference(transitivity,[status(thm)],[13754, 13752])).
% 77.69/49.51 tff(13756,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13757,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 77.69/49.51 tff(13758,plain,
% 77.69/49.51 (~v101(constB109)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13757, 307, 13751, 13748])).
% 77.69/49.51 tff(13759,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13760,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13761,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13760, 13759])).
% 77.69/49.51 tff(13762,plain,
% 77.69/49.51 (v101(constB109) | (~v100(constB109))),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13761, 324, 13751])).
% 77.69/49.51 tff(13763,plain,
% 77.69/49.51 (~v100(constB109)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13762, 13758])).
% 77.69/49.51 tff(13764,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13765,plain,
% 77.69/49.51 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13766,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)))),
% 77.69/49.51 inference(monotonicity,[status(thm)],[13765])).
% 77.69/49.51 tff(13767,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 77.69/49.51 inference(transitivity,[status(thm)],[13766, 13764])).
% 77.69/49.51 tff(13768,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13769,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13768, 13767])).
% 77.69/49.51 tff(13770,plain,
% 77.69/49.51 ((~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13769, 1575, 13751])).
% 77.69/49.51 tff(13771,plain,
% 77.69/49.51 ((~v90(constB108, bitIndex2)) | v90(constB109, bitIndex2)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13770, 13763])).
% 77.69/49.51 tff(13772,plain,
% 77.69/49.51 (v90(constB109, bitIndex2)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13771, 13745])).
% 77.69/49.51 tff(13773,plain,
% 77.69/49.51 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13774,plain,
% 77.69/49.51 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13775,plain,
% 77.69/49.51 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 77.69/49.51 tff(13776,plain,
% 77.69/49.51 (v130(constB107, bitIndex1)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13775, 1936, 13516])).
% 77.69/49.51 tff(13777,plain,
% 77.69/49.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13778,plain,
% 77.69/49.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13779,plain,
% 77.69/49.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 77.69/49.51 tff(13780,plain,
% 77.69/49.51 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13779, 1031, 13524])).
% 77.69/49.51 tff(13781,plain,
% 77.69/49.51 (v127(constB107, bitIndex1)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13780, 13776])).
% 77.69/49.51 tff(13782,plain,
% 77.69/49.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 77.69/49.51 inference(rewrite,[status(thm)],[])).
% 77.69/49.51 tff(13783,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 77.69/49.51 inference(quant_inst,[status(thm)],[])).
% 77.69/49.51 tff(13784,plain,
% 77.69/49.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 77.69/49.51 inference(modus_ponens,[status(thm)],[13783, 13782])).
% 77.69/49.51 tff(13785,plain,
% 77.69/49.51 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13784, 1046, 13532])).
% 77.69/49.51 tff(13786,plain,
% 77.69/49.51 (v129(constB108, bitIndex1)),
% 77.69/49.51 inference(unit_resolution,[status(thm)],[13785, 13781])).
% 77.69/49.51 tff(13787,plain,
% 77.69/49.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13788,plain,
% 77.69/49.52 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13789,plain,
% 77.69/49.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 77.69/49.52 inference(monotonicity,[status(thm)],[13788])).
% 77.69/49.52 tff(13790,plain,
% 77.69/49.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 77.69/49.52 inference(transitivity,[status(thm)],[13789, 13787])).
% 77.69/49.52 tff(13791,plain,
% 77.69/49.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13792,plain,
% 77.69/49.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13791, 13790])).
% 77.69/49.52 tff(13793,plain,
% 77.69/49.52 (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13792, 1061, 13737])).
% 77.69/49.52 tff(13794,plain,
% 77.69/49.52 (v90(constB108, bitIndex1)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13793, 13786])).
% 77.69/49.52 tff(13795,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13796,plain,
% 77.69/49.52 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13797,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 77.69/49.52 inference(monotonicity,[status(thm)],[13796])).
% 77.69/49.52 tff(13798,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 77.69/49.52 inference(transitivity,[status(thm)],[13797, 13795])).
% 77.69/49.52 tff(13799,plain,
% 77.69/49.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13800,plain,
% 77.69/49.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13799, 13798])).
% 77.69/49.52 tff(13801,plain,
% 77.69/49.52 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13800, 1079, 13751])).
% 77.69/49.52 tff(13802,plain,
% 77.69/49.52 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13801, 13763])).
% 77.69/49.52 tff(13803,plain,
% 77.69/49.52 (v90(constB109, bitIndex1)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13802, 13794])).
% 77.69/49.52 tff(13804,plain,
% 77.69/49.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13805,plain,
% 77.69/49.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13806,plain,
% 77.69/49.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0))),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13805, 13804])).
% 77.69/49.52 tff(13807,plain,
% 77.69/49.52 (~v130(constB107, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13806, 2112, 13516])).
% 77.69/49.52 tff(13808,plain,
% 77.69/49.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13809,plain,
% 77.69/49.52 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13810,plain,
% 77.69/49.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 77.69/49.52 inference(monotonicity,[status(thm)],[13809])).
% 77.69/49.52 tff(13811,plain,
% 77.69/49.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 77.69/49.52 inference(transitivity,[status(thm)],[13810, 13808])).
% 77.69/49.52 tff(13812,plain,
% 77.69/49.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13813,plain,
% 77.69/49.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13812, 13811])).
% 77.69/49.52 tff(13814,plain,
% 77.69/49.52 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13813, 1112, 13524])).
% 77.69/49.52 tff(13815,plain,
% 77.69/49.52 (~v127(constB107, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13814, 13807])).
% 77.69/49.52 tff(13816,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13817,plain,
% 77.69/49.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13818,plain,
% 77.69/49.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 77.69/49.52 tff(13819,plain,
% 77.69/49.52 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13818, 1130, 13532])).
% 77.69/49.52 tff(13820,plain,
% 77.69/49.52 (~v129(constB108, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13819, 13815])).
% 77.69/49.52 tff(13821,plain,
% 77.69/49.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13822,plain,
% 77.69/49.52 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13823,plain,
% 77.69/49.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 77.69/49.52 inference(monotonicity,[status(thm)],[13822])).
% 77.69/49.52 tff(13824,plain,
% 77.69/49.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 77.69/49.52 inference(transitivity,[status(thm)],[13823, 13821])).
% 77.69/49.52 tff(13825,plain,
% 77.69/49.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13826,plain,
% 77.69/49.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 77.69/49.52 tff(13827,plain,
% 77.69/49.52 ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13826, 1145, 13737])).
% 77.69/49.52 tff(13828,plain,
% 77.69/49.52 (~v90(constB108, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13827, 13820])).
% 77.69/49.52 tff(13829,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13830,plain,
% 77.69/49.52 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 77.69/49.52 inference(rewrite,[status(thm)],[])).
% 77.69/49.52 tff(13831,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 77.69/49.52 inference(monotonicity,[status(thm)],[13830])).
% 77.69/49.52 tff(13832,plain,
% 77.69/49.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 77.69/49.52 inference(transitivity,[status(thm)],[13831, 13829])).
% 77.69/49.52 tff(13833,plain,
% 77.69/49.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 77.69/49.52 inference(quant_inst,[status(thm)],[])).
% 77.69/49.52 tff(13834,plain,
% 77.69/49.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 77.69/49.52 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 77.69/49.52 tff(13835,plain,
% 77.69/49.52 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13834, 381, 13751])).
% 77.69/49.52 tff(13836,plain,
% 77.69/49.52 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13835, 13763])).
% 77.69/49.52 tff(13837,plain,
% 77.69/49.52 (~v90(constB109, bitIndex0)),
% 77.69/49.52 inference(unit_resolution,[status(thm)],[13836, 13828])).
% 77.69/49.52 tff(13838,plain,
% 77.69/49.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13839,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13840,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109)),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 77.69/49.53 tff(13841,plain,
% 77.69/49.53 (v125(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13840, 2156, 13837, 13803, 13772])).
% 77.69/49.53 tff(13842,plain,
% 77.69/49.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13843,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13844,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13843, 13842])).
% 77.69/49.53 tff(13845,plain,
% 77.69/49.53 (v113(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13844, 2167, 13841])).
% 77.69/49.53 tff(13846,assumption,(v26(constB109)), introduced(assumption)).
% 77.69/49.53 tff(13847,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13848,plain,
% 77.69/49.53 ($false),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13847, 14, 13846])).
% 77.69/49.53 tff(13849,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 77.69/49.53 tff(13850,plain,
% 77.69/49.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13851,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13852,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109)),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13851, 13850])).
% 77.69/49.53 tff(13853,plain,
% 77.69/49.53 ((~v113(constB109)) | v112(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13852, 555, 13849])).
% 77.69/49.53 tff(13854,plain,
% 77.69/49.53 (v112(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13853, 13845])).
% 77.69/49.53 tff(13855,plain,
% 77.69/49.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13856,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13857,plain,
% 77.69/49.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 77.69/49.53 tff(13858,plain,
% 77.69/49.53 (v108(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13857, 464, 13854])).
% 77.69/49.53 tff(13859,plain,
% 77.69/49.53 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13860,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 77.69/49.53 tff(13861,plain,
% 77.69/49.53 (nextState(constB109, constB110)),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 77.69/49.53 tff(13862,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13863,plain,
% 77.69/49.53 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13864,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 77.69/49.53 inference(monotonicity,[status(thm)],[13863])).
% 77.69/49.53 tff(13865,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 77.69/49.53 inference(transitivity,[status(thm)],[13864, 13862])).
% 77.69/49.53 tff(13866,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13867,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 77.69/49.53 tff(13868,plain,
% 77.69/49.53 (v110(constB110) | (~v108(constB109))),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13867, 571, 13861])).
% 77.69/49.53 tff(13869,plain,
% 77.69/49.53 (v110(constB110)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13868, 13858])).
% 77.69/49.53 tff(13870,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13871,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13872,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 77.69/49.53 tff(13873,plain,
% 77.69/49.53 (~v104(constB110)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13872, 589, 13861, 13748])).
% 77.69/49.53 tff(13874,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13875,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13876,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13875, 13874])).
% 77.69/49.53 tff(13877,plain,
% 77.69/49.53 (v102(constB110) | v104(constB110)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13876, 603, 13861])).
% 77.69/49.53 tff(13878,plain,
% 77.69/49.53 (v102(constB110)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13877, 13873])).
% 77.69/49.53 tff(13879,plain,
% 77.69/49.53 (v1(constB110) <=> v1(constB110)),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13880,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 77.69/49.53 tff(13881,plain,
% 77.69/49.53 (v1(constB110)),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 77.69/49.53 tff(13882,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13883,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13884,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13883, 13882])).
% 77.69/49.53 tff(13885,plain,
% 77.69/49.53 (v101(constB110) | (~v102(constB110))),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13884, 621, 13861, 13881])).
% 77.69/49.53 tff(13886,plain,
% 77.69/49.53 (v101(constB110)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13885, 13878])).
% 77.69/49.53 tff(13887,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13888,plain,
% 77.69/49.53 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13889,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 77.69/49.53 inference(monotonicity,[status(thm)],[13888])).
% 77.69/49.53 tff(13890,plain,
% 77.69/49.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 77.69/49.53 inference(transitivity,[status(thm)],[13889, 13887])).
% 77.69/49.53 tff(13891,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13892,plain,
% 77.69/49.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 77.69/49.53 tff(13893,plain,
% 77.69/49.53 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13892, 636, 13861])).
% 77.69/49.53 tff(13894,plain,
% 77.69/49.53 (v100(constB110) | (~v110(constB110))),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13893, 13886])).
% 77.69/49.53 tff(13895,plain,
% 77.69/49.53 (v100(constB110)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13894, 13869])).
% 77.69/49.53 tff(13896,plain,
% 77.69/49.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13897,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13898,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13897, 13896])).
% 77.69/49.53 tff(13899,plain,
% 77.69/49.53 (~v120(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13898, 2254, 13803])).
% 77.69/49.53 tff(13900,plain,
% 77.69/49.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13901,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13902,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13901, 13900])).
% 77.69/49.53 tff(13903,plain,
% 77.69/49.53 (~v124(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13902, 2276, 13803])).
% 77.69/49.53 tff(13904,plain,
% 77.69/49.53 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13905,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13906,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13905, 13904])).
% 77.69/49.53 tff(13907,plain,
% 77.69/49.53 (~v119(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13906, 2243, 13803])).
% 77.69/49.53 tff(13908,plain,
% 77.69/49.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13909,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13910,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13909, 13908])).
% 77.69/49.53 tff(13911,plain,
% 77.69/49.53 (~v121(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13910, 2218, 13772])).
% 77.69/49.53 tff(13912,plain,
% 77.69/49.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 77.69/49.53 inference(rewrite,[status(thm)],[])).
% 77.69/49.53 tff(13913,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 77.69/49.53 inference(quant_inst,[status(thm)],[])).
% 77.69/49.53 tff(13914,plain,
% 77.69/49.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109))),
% 77.69/49.53 inference(modus_ponens,[status(thm)],[13913, 13912])).
% 77.69/49.53 tff(13915,plain,
% 77.69/49.53 (~v123(constB109)),
% 77.69/49.53 inference(unit_resolution,[status(thm)],[13914, 2265, 13803])).
% 77.69/49.53 tff(13916,plain,
% 77.69/49.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13917,plain,
% 77.69/49.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 77.69/49.54 inference(quant_inst,[status(thm)],[])).
% 77.69/49.54 tff(13918,plain,
% 77.69/49.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109))),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 77.69/49.54 tff(13919,plain,
% 77.69/49.54 (~v122(constB109)),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13918, 2229, 13772])).
% 77.69/49.54 tff(13920,plain,
% 77.69/49.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13921,plain,
% 77.69/49.54 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2))) <=> (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13922,plain,
% 77.69/49.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex2))))),
% 77.69/49.54 inference(monotonicity,[status(thm)],[13921])).
% 77.69/49.54 tff(13923,plain,
% 77.69/49.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))),
% 77.69/49.54 inference(transitivity,[status(thm)],[13922, 13920])).
% 77.69/49.54 tff(13924,plain,
% 77.69/49.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))),
% 77.69/49.54 inference(quant_inst,[status(thm)],[])).
% 77.69/49.54 tff(13925,plain,
% 77.69/49.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex2))),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 77.69/49.54 tff(13926,plain,
% 77.69/49.54 (~v130(constB109, bitIndex2)),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13925, 2290, 13919, 13915, 13911, 13907, 13903, 13899])).
% 77.69/49.54 tff(13927,plain,
% 77.69/49.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13928,plain,
% 77.69/49.54 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13929,plain,
% 77.69/49.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 77.69/49.54 inference(monotonicity,[status(thm)],[13928])).
% 77.69/49.54 tff(13930,plain,
% 77.69/49.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 77.69/49.54 inference(transitivity,[status(thm)],[13929, 13927])).
% 77.69/49.54 tff(13931,plain,
% 77.69/49.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 77.69/49.54 inference(quant_inst,[status(thm)],[])).
% 77.69/49.54 tff(13932,plain,
% 77.69/49.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 77.69/49.54 tff(13933,plain,
% 77.69/49.54 ((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13932, 430, 13849])).
% 77.69/49.54 tff(13934,plain,
% 77.69/49.54 (~v127(constB109, bitIndex2)),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13933, 13926])).
% 77.69/49.54 tff(13935,plain,
% 77.69/49.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13936,plain,
% 77.69/49.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 77.69/49.54 inference(quant_inst,[status(thm)],[])).
% 77.69/49.54 tff(13937,plain,
% 77.69/49.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 77.69/49.54 tff(13938,plain,
% 77.69/49.54 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13937, 451, 13861])).
% 77.69/49.54 tff(13939,plain,
% 77.69/49.54 (~v129(constB110, bitIndex2)),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13938, 13934])).
% 77.69/49.54 tff(13940,plain,
% 77.69/49.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13941,plain,
% 77.69/49.54 (((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2)) <=> ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13942,plain,
% 77.69/49.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))))),
% 77.69/49.54 inference(monotonicity,[status(thm)],[13941])).
% 77.69/49.54 tff(13943,plain,
% 77.69/49.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 77.69/49.54 inference(transitivity,[status(thm)],[13942, 13940])).
% 77.69/49.54 tff(13944,plain,
% 77.69/49.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))),
% 77.69/49.54 inference(quant_inst,[status(thm)],[])).
% 77.69/49.54 tff(13945,plain,
% 77.69/49.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13944, 13943])).
% 77.69/49.54 tff(13946,plain,
% 77.69/49.54 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13945, 655, 13939])).
% 77.69/49.54 tff(13947,plain,
% 77.69/49.54 (~v90(constB110, bitIndex2)),
% 77.69/49.54 inference(unit_resolution,[status(thm)],[13946, 13895])).
% 77.69/49.54 tff(13948,plain,
% 77.69/49.54 ((~v1(constB111)) <=> (~v1(constB111))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13949,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 77.69/49.54 tff(13950,plain,
% 77.69/49.54 (~v1(constB111)),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 77.69/49.54 tff(13951,plain,
% 77.69/49.54 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13952,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 77.69/49.54 tff(13953,plain,
% 77.69/49.54 (nextState(constB110, constB111)),
% 77.69/49.54 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 77.69/49.54 tff(13954,plain,
% 77.69/49.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13955,plain,
% 77.69/49.54 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 77.69/49.54 inference(rewrite,[status(thm)],[])).
% 77.69/49.54 tff(13956,plain,
% 77.69/49.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 77.69/49.54 inference(monotonicity,[status(thm)],[13955])).
% 77.69/49.54 tff(13957,plain,
% 77.69/49.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 77.69/49.54 inference(transitivity,[status(thm)],[13956, 13954])).
% 77.69/49.54 tff(13958,plain,
% 77.69/49.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 77.69/49.54 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(13959,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13958, 13957])).
% 77.69/49.55 tff(13960,plain,
% 77.69/49.55 (~v101(constB111)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13959, 307, 13953, 13950])).
% 77.69/49.55 tff(13961,plain,
% 77.69/49.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13962,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 77.69/49.55 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(13963,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13962, 13961])).
% 77.69/49.55 tff(13964,plain,
% 77.69/49.55 (v101(constB111) | (~v100(constB111))),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13963, 324, 13953])).
% 77.69/49.55 tff(13965,plain,
% 77.69/49.55 (~v100(constB111)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13964, 13960])).
% 77.69/49.55 tff(13966,plain,
% 77.69/49.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13967,plain,
% 77.69/49.55 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13968,plain,
% 77.69/49.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 77.69/49.55 inference(monotonicity,[status(thm)],[13967])).
% 77.69/49.55 tff(13969,plain,
% 77.69/49.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 77.69/49.55 inference(transitivity,[status(thm)],[13968, 13966])).
% 77.69/49.55 tff(13970,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 77.69/49.55 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(13971,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13970, 13969])).
% 77.69/49.55 tff(13972,plain,
% 77.69/49.55 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13971, 339, 13953])).
% 77.69/49.55 tff(13973,plain,
% 77.69/49.55 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13972, 13965])).
% 77.69/49.55 tff(13974,plain,
% 77.69/49.55 (~v90(constB111, bitIndex2)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13973, 13947])).
% 77.69/49.55 tff(13975,plain,
% 77.69/49.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13976,plain,
% 77.69/49.55 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1))) <=> (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13977,plain,
% 77.69/49.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex1))))),
% 77.69/49.55 inference(monotonicity,[status(thm)],[13976])).
% 77.69/49.55 tff(13978,plain,
% 77.69/49.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))),
% 77.69/49.55 inference(transitivity,[status(thm)],[13977, 13975])).
% 77.69/49.55 tff(13979,plain,
% 77.69/49.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))),
% 77.69/49.55 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(13980,plain,
% 77.69/49.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~v130(constB109, bitIndex1))),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13979, 13978])).
% 77.69/49.55 tff(13981,plain,
% 77.69/49.55 (~v130(constB109, bitIndex1)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13980, 2355, 13919, 13915, 13911, 13907, 13903, 13899])).
% 77.69/49.55 tff(13982,plain,
% 77.69/49.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13983,plain,
% 77.69/49.55 ((v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1))) <=> ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13984,plain,
% 77.69/49.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)))),
% 77.69/49.55 inference(monotonicity,[status(thm)],[13983])).
% 77.69/49.55 tff(13985,plain,
% 77.69/49.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 77.69/49.55 inference(transitivity,[status(thm)],[13984, 13982])).
% 77.69/49.55 tff(13986,plain,
% 77.69/49.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))),
% 77.69/49.55 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(13987,plain,
% 77.69/49.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 77.69/49.55 tff(13988,plain,
% 77.69/49.55 ((~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13987, 714, 13849])).
% 77.69/49.55 tff(13989,plain,
% 77.69/49.55 (~v127(constB109, bitIndex1)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13988, 13981])).
% 77.69/49.55 tff(13990,plain,
% 77.69/49.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13991,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 77.69/49.55 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(13992,plain,
% 77.69/49.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13991, 13990])).
% 77.69/49.55 tff(13993,plain,
% 77.69/49.55 (v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13992, 732, 13861])).
% 77.69/49.55 tff(13994,plain,
% 77.69/49.55 (~v129(constB110, bitIndex1)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[13993, 13989])).
% 77.69/49.55 tff(13995,plain,
% 77.69/49.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13996,plain,
% 77.69/49.55 (((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 77.69/49.55 inference(rewrite,[status(thm)],[])).
% 77.69/49.55 tff(13997,plain,
% 77.69/49.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))))),
% 77.69/49.55 inference(monotonicity,[status(thm)],[13996])).
% 77.69/49.55 tff(13998,plain,
% 77.69/49.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 77.69/49.55 inference(transitivity,[status(thm)],[13997, 13995])).
% 77.69/49.55 tff(13999,plain,
% 77.69/49.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))),
% 77.69/49.55 inference(quant_inst,[status(thm)],[])).
% 77.69/49.55 tff(14000,plain,
% 77.69/49.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))),
% 77.69/49.55 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 77.69/49.55 tff(14001,plain,
% 77.69/49.55 ((~v90(constB110, bitIndex1)) | (~v100(constB110))),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[14000, 747, 13994])).
% 77.69/49.55 tff(14002,plain,
% 77.69/49.55 (~v90(constB110, bitIndex1)),
% 77.69/49.55 inference(unit_resolution,[status(thm)],[14001, 13895])).
% 77.69/49.55 tff(14003,plain,
% 77.69/49.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14004,plain,
% 77.69/49.56 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14005,plain,
% 77.69/49.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))))),
% 77.69/49.56 inference(monotonicity,[status(thm)],[14004])).
% 77.69/49.56 tff(14006,plain,
% 77.69/49.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 77.69/49.56 inference(transitivity,[status(thm)],[14005, 14003])).
% 77.69/49.56 tff(14007,plain,
% 77.69/49.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 77.69/49.56 inference(quant_inst,[status(thm)],[])).
% 77.69/49.56 tff(14008,plain,
% 77.69/49.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 77.69/49.56 inference(modus_ponens,[status(thm)],[14007, 14006])).
% 77.69/49.56 tff(14009,plain,
% 77.69/49.56 (v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14008, 360, 13953])).
% 77.69/49.56 tff(14010,plain,
% 77.69/49.56 (v90(constB110, bitIndex1) | (~v90(constB111, bitIndex1))),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14009, 13965])).
% 77.69/49.56 tff(14011,plain,
% 77.69/49.56 (~v90(constB111, bitIndex1)),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14010, 14002])).
% 77.69/49.56 tff(14012,plain,
% 77.69/49.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v130(constB109, bitIndex0))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14013,plain,
% 77.69/49.56 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0)) <=> (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v130(constB109, bitIndex0))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14014,plain,
% 77.69/49.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v130(constB109, bitIndex0)))),
% 77.69/49.56 inference(monotonicity,[status(thm)],[14013])).
% 77.69/49.56 tff(14015,plain,
% 77.69/49.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v130(constB109, bitIndex0))),
% 77.69/49.56 inference(transitivity,[status(thm)],[14014, 14012])).
% 77.69/49.56 tff(14016,plain,
% 77.69/49.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))),
% 77.69/49.56 inference(quant_inst,[status(thm)],[])).
% 77.69/49.56 tff(14017,plain,
% 77.69/49.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v130(constB109, bitIndex0)),
% 77.69/49.56 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 77.69/49.56 tff(14018,plain,
% 77.69/49.56 (v130(constB109, bitIndex0)),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14017, 2402, 13919, 13915, 13911, 13907, 13903, 13899])).
% 77.69/49.56 tff(14019,plain,
% 77.69/49.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14020,plain,
% 77.69/49.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 77.69/49.56 inference(quant_inst,[status(thm)],[])).
% 77.69/49.56 tff(14021,plain,
% 77.69/49.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 77.69/49.56 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 77.69/49.56 tff(14022,plain,
% 77.69/49.56 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14021, 788, 13849])).
% 77.69/49.56 tff(14023,plain,
% 77.69/49.56 (v127(constB109, bitIndex0)),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14022, 14018])).
% 77.69/49.56 tff(14024,plain,
% 77.69/49.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14025,plain,
% 77.69/49.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 77.69/49.56 inference(quant_inst,[status(thm)],[])).
% 77.69/49.56 tff(14026,plain,
% 77.69/49.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 77.69/49.56 inference(modus_ponens,[status(thm)],[14025, 14024])).
% 77.69/49.56 tff(14027,plain,
% 77.69/49.56 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14026, 803, 13861])).
% 77.69/49.56 tff(14028,plain,
% 77.69/49.56 (v129(constB110, bitIndex0)),
% 77.69/49.56 inference(unit_resolution,[status(thm)],[14027, 14023])).
% 77.69/49.56 tff(14029,plain,
% 77.69/49.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14030,plain,
% 77.69/49.56 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 77.69/49.56 inference(rewrite,[status(thm)],[])).
% 77.69/49.56 tff(14031,plain,
% 77.69/49.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 77.69/49.56 inference(monotonicity,[status(thm)],[14030])).
% 77.69/49.56 tff(14032,plain,
% 77.69/49.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 77.69/49.56 inference(transitivity,[status(thm)],[14031, 14029])).
% 77.69/49.56 tff(14033,plain,
% 77.69/49.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 77.69/49.56 inference(quant_inst,[status(thm)],[])).
% 77.69/49.56 tff(14034,plain,
% 77.69/49.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 77.69/49.58 inference(modus_ponens,[status(thm)],[14033, 14032])).
% 77.69/49.58 tff(14035,plain,
% 77.69/49.58 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 77.69/49.58 inference(unit_resolution,[status(thm)],[14034, 818, 14028])).
% 77.69/49.58 tff(14036,plain,
% 77.69/49.58 (v90(constB110, bitIndex0)),
% 77.69/49.58 inference(unit_resolution,[status(thm)],[14035, 13895])).
% 77.69/49.58 tff(14037,plain,
% 77.69/49.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 77.69/49.58 inference(rewrite,[status(thm)],[])).
% 77.69/49.58 tff(14038,plain,
% 77.69/49.58 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 77.69/49.58 inference(rewrite,[status(thm)],[])).
% 77.69/49.58 tff(14039,plain,
% 77.69/49.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 77.69/49.58 inference(monotonicity,[status(thm)],[14038])).
% 77.69/49.58 tff(14040,plain,
% 77.69/49.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 77.69/49.58 inference(transitivity,[status(thm)],[14039, 14037])).
% 77.69/49.58 tff(14041,plain,
% 77.69/49.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 77.69/49.58 inference(quant_inst,[status(thm)],[])).
% 77.69/49.58 tff(14042,plain,
% 77.69/49.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 77.69/49.58 inference(modus_ponens,[status(thm)],[14041, 14040])).
% 77.69/49.58 tff(14043,plain,
% 77.69/49.58 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 77.69/49.58 inference(unit_resolution,[status(thm)],[14042, 836, 13953])).
% 77.69/49.58 tff(14044,plain,
% 77.69/49.58 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 77.69/49.58 inference(unit_resolution,[status(thm)],[14043, 13965])).
% 77.69/49.58 tff(14045,plain,
% 77.69/49.58 (v90(constB111, bitIndex0)),
% 77.69/49.58 inference(unit_resolution,[status(thm)],[14044, 14036])).
% 77.69/49.58 tff(14046,plain,
% 77.69/49.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 77.69/49.58 inference(rewrite,[status(thm)],[])).
% 77.69/49.58 tff(14047,plain,
% 77.69/49.58 (((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)) <=> ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14048,plain,
% 77.75/49.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)))),
% 77.75/49.58 inference(monotonicity,[status(thm)],[14047])).
% 77.75/49.58 tff(14049,plain,
% 77.75/49.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 77.75/49.58 inference(transitivity,[status(thm)],[14048, 14046])).
% 77.75/49.58 tff(14050,plain,
% 77.75/49.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14051,plain,
% 77.75/49.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14050, 14049])).
% 77.75/49.58 tff(14052,plain,
% 77.75/49.58 (v120(constB111)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14051, 855, 14045, 14011, 13974])).
% 77.75/49.58 tff(14053,plain,
% 77.75/49.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14054,plain,
% 77.75/49.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14055,plain,
% 77.75/49.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1)),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 77.75/49.58 tff(14056,plain,
% 77.75/49.58 (v130(constB111, bitIndex1)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14055, 1017, 14052])).
% 77.75/49.58 tff(14057,assumption,(v26(constB111)), introduced(assumption)).
% 77.75/49.58 tff(14058,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14059,plain,
% 77.75/49.58 ($false),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14058, 14, 14057])).
% 77.75/49.58 tff(14060,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 77.75/49.58 tff(14061,plain,
% 77.75/49.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14062,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14063,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 77.75/49.58 tff(14064,plain,
% 77.75/49.58 ((~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14063, 1031, 14060])).
% 77.75/49.58 tff(14065,plain,
% 77.75/49.58 (v127(constB111, bitIndex1)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14064, 14056])).
% 77.75/49.58 tff(14066,plain,
% 77.75/49.58 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14067,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 77.75/49.58 tff(14068,plain,
% 77.75/49.58 (nextState(constB111, constB112)),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 77.75/49.58 tff(14069,plain,
% 77.75/49.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14070,plain,
% 77.75/49.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14071,plain,
% 77.75/49.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14070, 14069])).
% 77.75/49.58 tff(14072,plain,
% 77.75/49.58 ((~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14071, 1046, 14068])).
% 77.75/49.58 tff(14073,plain,
% 77.75/49.58 (v129(constB112, bitIndex1)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14072, 14065])).
% 77.75/49.58 tff(14074,assumption,(~v113(constB111)), introduced(assumption)).
% 77.75/49.58 tff(14075,plain,
% 77.75/49.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111)))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14076,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14077,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111))),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14076, 14075])).
% 77.75/49.58 tff(14078,plain,
% 77.75/49.58 (~v114(constB111)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14077, 541, 14074])).
% 77.75/49.58 tff(14079,plain,
% 77.75/49.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111)))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14080,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14081,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111))),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 77.75/49.58 tff(14082,plain,
% 77.75/49.58 (~v115(constB111)),
% 77.75/49.58 inference(unit_resolution,[status(thm)],[14081, 530, 14078])).
% 77.75/49.58 tff(14083,plain,
% 77.75/49.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB111) | (~v123(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB111) | (~v123(constB111)))),
% 77.75/49.58 inference(rewrite,[status(thm)],[])).
% 77.75/49.58 tff(14084,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB111) | (~v123(constB111)))),
% 77.75/49.58 inference(quant_inst,[status(thm)],[])).
% 77.75/49.58 tff(14085,plain,
% 77.75/49.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB111) | (~v123(constB111))),
% 77.75/49.58 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 77.75/49.59 tff(14086,plain,
% 77.75/49.59 (~v123(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14085, 1693, 14082])).
% 77.75/49.59 tff(14087,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14088,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14089,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 77.75/49.59 tff(14090,plain,
% 77.75/49.59 (~v116(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14089, 519, 14082])).
% 77.75/49.59 tff(14091,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14092,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14093,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14092, 14091])).
% 77.75/49.59 tff(14094,plain,
% 77.75/49.59 (~v117(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14093, 508, 14090])).
% 77.75/49.59 tff(14095,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14096,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14097,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 77.75/49.59 tff(14098,plain,
% 77.75/49.59 (~v118(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14097, 497, 14094])).
% 77.75/49.59 tff(14099,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB111) | (~v119(constB111)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB111) | (~v119(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14100,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB111) | (~v119(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14101,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB111) | (~v119(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14100, 14099])).
% 77.75/49.59 tff(14102,plain,
% 77.75/49.59 (~v119(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14101, 486, 14098])).
% 77.75/49.59 tff(14103,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB111) | (~v125(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB111) | (~v125(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14104,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB111) | (~v125(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14105,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB111) | (~v125(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 77.75/49.59 tff(14106,plain,
% 77.75/49.59 (~v125(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14105, 2167, 14074])).
% 77.75/49.59 tff(14107,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB111) | (~v121(constB111)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB111) | (~v121(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14108,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB111) | (~v121(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14109,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB111) | (~v121(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14108, 14107])).
% 77.75/49.59 tff(14110,plain,
% 77.75/49.59 (~v121(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14109, 1183, 14094])).
% 77.75/49.59 tff(14111,assumption,(~v90(constB111, bitIndex0)), introduced(assumption)).
% 77.75/49.59 tff(14112,assumption,(~v123(constB111)), introduced(assumption)).
% 77.75/49.59 tff(14113,assumption,(~v119(constB111)), introduced(assumption)).
% 77.75/49.59 tff(14114,assumption,(~v90(constB111, bitIndex1)), introduced(assumption)).
% 77.75/49.59 tff(14115,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14116,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14117,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111)),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 77.75/49.59 tff(14118,plain,
% 77.75/49.59 (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2))),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14117, 1682, 14112])).
% 77.75/49.59 tff(14119,plain,
% 77.75/49.59 (~v90(constB111, bitIndex2)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14118, 14114, 14111])).
% 77.75/49.59 tff(14120,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14121,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14122,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14121, 14120])).
% 77.75/49.59 tff(14123,plain,
% 77.75/49.59 (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14122, 402, 14113])).
% 77.75/49.59 tff(14124,plain,
% 77.75/49.59 ($false),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14123, 14119, 14114, 14111])).
% 77.75/49.59 tff(14125,plain,(v90(constB111, bitIndex1) | v90(constB111, bitIndex0) | v119(constB111) | v123(constB111)), inference(lemma,lemma(discharge,[]))).
% 77.75/49.59 tff(14126,plain,
% 77.75/49.59 (v90(constB111, bitIndex1)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14125, 14111, 14113, 14112])).
% 77.75/49.59 tff(14127,assumption,(~v125(constB111)), introduced(assumption)).
% 77.75/49.59 tff(14128,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14129,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14130,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111)),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14129, 14128])).
% 77.75/49.59 tff(14131,plain,
% 77.75/49.59 (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2))),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14130, 2156, 14127])).
% 77.75/49.59 tff(14132,plain,
% 77.75/49.59 (~v90(constB111, bitIndex2)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14131, 14126, 14111])).
% 77.75/49.59 tff(14133,assumption,(~v121(constB111)), introduced(assumption)).
% 77.75/49.59 tff(14134,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14135,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14136,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111)),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 77.75/49.59 tff(14137,plain,
% 77.75/49.59 (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14136, 1172, 14133])).
% 77.75/49.59 tff(14138,plain,
% 77.75/49.59 ($false),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14137, 14132, 14126, 14111])).
% 77.75/49.59 tff(14139,plain,(v90(constB111, bitIndex0) | v121(constB111) | v125(constB111) | v119(constB111) | v123(constB111)), inference(lemma,lemma(discharge,[]))).
% 77.75/49.59 tff(14140,plain,
% 77.75/49.59 (v90(constB111, bitIndex0)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14139, 14110, 14106, 14102, 14086])).
% 77.75/49.59 tff(14141,plain,
% 77.75/49.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14142,plain,
% 77.75/49.59 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14143,plain,
% 77.75/49.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0))))),
% 77.75/49.59 inference(monotonicity,[status(thm)],[14142])).
% 77.75/49.59 tff(14144,plain,
% 77.75/49.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 77.75/49.59 inference(transitivity,[status(thm)],[14143, 14141])).
% 77.75/49.59 tff(14145,plain,
% 77.75/49.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14146,plain,
% 77.75/49.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14145, 14144])).
% 77.75/49.59 tff(14147,plain,
% 77.75/49.59 (v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0))),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14146, 381, 13953])).
% 77.75/49.59 tff(14148,plain,
% 77.75/49.59 (v90(constB110, bitIndex0) | (~v90(constB111, bitIndex0))),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14147, 13965])).
% 77.75/49.59 tff(14149,plain,
% 77.75/49.59 (v90(constB110, bitIndex0)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14148, 14140])).
% 77.75/49.59 tff(14150,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB111) | (~v124(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB111) | (~v124(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14151,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB111) | (~v124(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14152,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB111) | (~v124(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 77.75/49.59 tff(14153,plain,
% 77.75/49.59 (~v124(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14152, 1951, 14078])).
% 77.75/49.59 tff(14154,plain,
% 77.75/49.59 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111)))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14155,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))),
% 77.75/49.59 inference(quant_inst,[status(thm)],[])).
% 77.75/49.59 tff(14156,plain,
% 77.75/49.59 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111))),
% 77.75/49.59 inference(modus_ponens,[status(thm)],[14155, 14154])).
% 77.75/49.59 tff(14157,plain,
% 77.75/49.59 (~v120(constB111)),
% 77.75/49.59 inference(unit_resolution,[status(thm)],[14156, 908, 14098])).
% 77.75/49.59 tff(14158,assumption,(v90(constB111, bitIndex0)), introduced(assumption)).
% 77.75/49.59 tff(14159,assumption,(~v124(constB111)), introduced(assumption)).
% 77.75/49.59 tff(14160,plain,
% 77.75/49.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111))),
% 77.75/49.59 inference(rewrite,[status(thm)],[])).
% 77.75/49.59 tff(14161,plain,
% 77.75/49.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14162,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111)),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14161, 14160])).
% 77.75/49.60 tff(14163,plain,
% 77.75/49.60 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2))),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14162, 1919, 14159])).
% 77.75/49.60 tff(14164,plain,
% 77.75/49.60 (~v90(constB111, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14163, 14114, 14158])).
% 77.75/49.60 tff(14165,assumption,(~v120(constB111)), introduced(assumption)).
% 77.75/49.60 tff(14166,plain,
% 77.75/49.60 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14051, 855, 14165])).
% 77.75/49.60 tff(14167,plain,
% 77.75/49.60 ($false),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14166, 14164, 14114, 14158])).
% 77.75/49.60 tff(14168,plain,(v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)) | v120(constB111) | v124(constB111)), inference(lemma,lemma(discharge,[]))).
% 77.75/49.60 tff(14169,plain,
% 77.75/49.60 (v90(constB111, bitIndex1)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14168, 14140, 14157, 14153])).
% 77.75/49.60 tff(14170,plain,
% 77.75/49.60 (v90(constB110, bitIndex1)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14010, 14169])).
% 77.75/49.60 tff(14171,plain,
% 77.75/49.60 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB111) | (~v122(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB111) | (~v122(constB111)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14172,plain,
% 77.75/49.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB111) | (~v122(constB111)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14173,plain,
% 77.75/49.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB111) | (~v122(constB111))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 77.75/49.60 tff(14174,plain,
% 77.75/49.60 (~v122(constB111)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14173, 1470, 14090])).
% 77.75/49.60 tff(14175,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14176,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14177,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111)),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14176, 14175])).
% 77.75/49.60 tff(14178,plain,
% 77.75/49.60 ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14177, 1403, 14174])).
% 77.75/49.60 tff(14179,plain,
% 77.75/49.60 (v90(constB111, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14178, 14169, 14140])).
% 77.75/49.60 tff(14180,plain,
% 77.75/49.60 (v90(constB110, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13973, 14179])).
% 77.75/49.60 tff(14181,assumption,(v100(constB110)), introduced(assumption)).
% 77.75/49.60 tff(14182,assumption,(v90(constB110, bitIndex1)), introduced(assumption)).
% 77.75/49.60 tff(14183,plain,
% 77.75/49.60 (v129(constB110, bitIndex1) | (~v100(constB110))),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14000, 747, 14182])).
% 77.75/49.60 tff(14184,plain,
% 77.75/49.60 (v129(constB110, bitIndex1)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14183, 14181])).
% 77.75/49.60 tff(14185,plain,
% 77.75/49.60 (v127(constB109, bitIndex1)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13993, 14184])).
% 77.75/49.60 tff(14186,plain,
% 77.75/49.60 (v130(constB109, bitIndex1)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13988, 14185])).
% 77.75/49.60 tff(14187,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v130(constB109, bitIndex1)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14188,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v130(constB109, bitIndex1)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14189,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v130(constB109, bitIndex1))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 77.75/49.60 tff(14190,plain,
% 77.75/49.60 (~v119(constB109)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14189, 700, 14186])).
% 77.75/49.60 tff(14191,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB109)) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB109)) | (~v130(constB109, bitIndex1)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14192,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB109)) | (~v130(constB109, bitIndex1)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14193,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB109)) | (~v130(constB109, bitIndex1))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 77.75/49.60 tff(14194,plain,
% 77.75/49.60 (~v123(constB109)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14193, 1765, 14186])).
% 77.75/49.60 tff(14195,assumption,(v90(constB110, bitIndex0)), introduced(assumption)).
% 77.75/49.60 tff(14196,plain,
% 77.75/49.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14197,plain,
% 77.75/49.60 (((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14198,plain,
% 77.75/49.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110))))),
% 77.75/49.60 inference(monotonicity,[status(thm)],[14197])).
% 77.75/49.60 tff(14199,plain,
% 77.75/49.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))),
% 77.75/49.60 inference(transitivity,[status(thm)],[14198, 14196])).
% 77.75/49.60 tff(14200,plain,
% 77.75/49.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14201,plain,
% 77.75/49.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14200, 14199])).
% 77.75/49.60 tff(14202,plain,
% 77.75/49.60 (v129(constB110, bitIndex0) | (~v100(constB110))),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14201, 1145, 14195])).
% 77.75/49.60 tff(14203,plain,
% 77.75/49.60 (v129(constB110, bitIndex0)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14202, 14181])).
% 77.75/49.60 tff(14204,plain,
% 77.75/49.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14205,plain,
% 77.75/49.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14206,plain,
% 77.75/49.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 77.75/49.60 tff(14207,plain,
% 77.75/49.60 (v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0))),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14206, 1130, 13861])).
% 77.75/49.60 tff(14208,plain,
% 77.75/49.60 (v127(constB109, bitIndex0)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14207, 14203])).
% 77.75/49.60 tff(14209,plain,
% 77.75/49.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB109, bitIndex0)) | v26(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB109, bitIndex0)) | v26(constB109) | v130(constB109, bitIndex0))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14210,plain,
% 77.75/49.60 ((v26(constB109) | v130(constB109, bitIndex0) | (~v127(constB109, bitIndex0))) <=> ((~v127(constB109, bitIndex0)) | v26(constB109) | v130(constB109, bitIndex0))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14211,plain,
% 77.75/49.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB109) | v130(constB109, bitIndex0) | (~v127(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB109, bitIndex0)) | v26(constB109) | v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(monotonicity,[status(thm)],[14210])).
% 77.75/49.60 tff(14212,plain,
% 77.75/49.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB109) | v130(constB109, bitIndex0) | (~v127(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB109, bitIndex0)) | v26(constB109) | v130(constB109, bitIndex0))),
% 77.75/49.60 inference(transitivity,[status(thm)],[14211, 14209])).
% 77.75/49.60 tff(14213,plain,
% 77.75/49.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB109) | v130(constB109, bitIndex0) | (~v127(constB109, bitIndex0)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14214,plain,
% 77.75/49.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB109, bitIndex0)) | v26(constB109) | v130(constB109, bitIndex0)),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 77.75/49.60 tff(14215,plain,
% 77.75/49.60 ((~v127(constB109, bitIndex0)) | v130(constB109, bitIndex0)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14214, 1112, 13849])).
% 77.75/49.60 tff(14216,plain,
% 77.75/49.60 (v130(constB109, bitIndex0)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14215, 14208])).
% 77.75/49.60 tff(14217,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB109)) | (~v130(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB109)) | (~v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14218,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB109)) | (~v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14219,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB109)) | (~v130(constB109, bitIndex0))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 77.75/49.60 tff(14220,plain,
% 77.75/49.60 (~v120(constB109)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14219, 1098, 14216])).
% 77.75/49.60 tff(14221,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB109)) | (~v130(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB109)) | (~v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14222,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB109)) | (~v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14223,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB109)) | (~v130(constB109, bitIndex0))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 77.75/49.60 tff(14224,plain,
% 77.75/49.60 (~v122(constB109)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14223, 1638, 14216])).
% 77.75/49.60 tff(14225,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB109)) | (~v130(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB109)) | (~v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14226,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB109)) | (~v130(constB109, bitIndex0)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14227,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB109)) | (~v130(constB109, bitIndex0))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14226, 14225])).
% 77.75/49.60 tff(14228,plain,
% 77.75/49.60 (~v124(constB109)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14227, 2112, 14216])).
% 77.75/49.60 tff(14229,assumption,(v90(constB110, bitIndex2)), introduced(assumption)).
% 77.75/49.60 tff(14230,plain,
% 77.75/49.60 (v129(constB110, bitIndex2) | (~v100(constB110))),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13945, 655, 14229])).
% 77.75/49.60 tff(14231,plain,
% 77.75/49.60 (v129(constB110, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14230, 14181])).
% 77.75/49.60 tff(14232,plain,
% 77.75/49.60 (v127(constB109, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13938, 14231])).
% 77.75/49.60 tff(14233,plain,
% 77.75/49.60 (v130(constB109, bitIndex2)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13933, 14232])).
% 77.75/49.60 tff(14234,plain,
% 77.75/49.60 (v121(constB109)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[13925, 2290, 14233, 14228, 14224, 14220, 14194, 14190])).
% 77.75/49.60 tff(14235,plain,
% 77.75/49.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 77.75/49.60 inference(rewrite,[status(thm)],[])).
% 77.75/49.60 tff(14236,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 77.75/49.60 inference(quant_inst,[status(thm)],[])).
% 77.75/49.60 tff(14237,plain,
% 77.75/49.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2))),
% 77.75/49.60 inference(modus_ponens,[status(thm)],[14236, 14235])).
% 77.75/49.60 tff(14238,plain,
% 77.75/49.60 ($false),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14237, 1259, 14233, 14234])).
% 77.75/49.60 tff(14239,plain,((~v100(constB110)) | (~v90(constB110, bitIndex2)) | (~v90(constB110, bitIndex1)) | (~v90(constB110, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.75/49.60 tff(14240,plain,
% 77.75/49.60 (~v100(constB110)),
% 77.75/49.60 inference(unit_resolution,[status(thm)],[14239, 14180, 14170, 14149])).
% 77.75/49.61 tff(14241,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14242,plain,
% 77.75/49.61 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))) <=> (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14243,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))))),
% 77.75/49.61 inference(monotonicity,[status(thm)],[14242])).
% 77.75/49.61 tff(14244,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 77.75/49.61 inference(transitivity,[status(thm)],[14243, 14241])).
% 77.75/49.61 tff(14245,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 77.75/49.61 inference(quant_inst,[status(thm)],[])).
% 77.75/49.61 tff(14246,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 77.75/49.61 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 77.75/49.61 tff(14247,plain,
% 77.75/49.61 (v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14246, 381, 13861])).
% 77.75/49.61 tff(14248,plain,
% 77.75/49.61 (v90(constB109, bitIndex0)),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14247, 14240, 14149])).
% 77.75/49.61 tff(14249,plain,
% 77.75/49.61 (v90(constB108, bitIndex0)),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[13836, 14248])).
% 77.75/49.61 tff(14250,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14251,plain,
% 77.75/49.61 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1))) <=> (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14252,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1))))),
% 77.75/49.61 inference(monotonicity,[status(thm)],[14251])).
% 77.75/49.61 tff(14253,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 77.75/49.61 inference(transitivity,[status(thm)],[14252, 14250])).
% 77.75/49.61 tff(14254,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 77.75/49.61 inference(quant_inst,[status(thm)],[])).
% 77.75/49.61 tff(14255,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1))),
% 77.75/49.61 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 77.75/49.61 tff(14256,plain,
% 77.75/49.61 (v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1))),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14255, 360, 13861])).
% 77.75/49.61 tff(14257,plain,
% 77.75/49.61 (v90(constB109, bitIndex1)),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14256, 14240, 14170])).
% 77.75/49.61 tff(14258,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14259,plain,
% 77.75/49.61 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14260,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1))))),
% 77.75/49.61 inference(monotonicity,[status(thm)],[14259])).
% 77.75/49.61 tff(14261,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 77.75/49.61 inference(transitivity,[status(thm)],[14260, 14258])).
% 77.75/49.61 tff(14262,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 77.75/49.61 inference(quant_inst,[status(thm)],[])).
% 77.75/49.61 tff(14263,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1))),
% 77.75/49.61 inference(modus_ponens,[status(thm)],[14262, 14261])).
% 77.75/49.61 tff(14264,plain,
% 77.75/49.61 (v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1))),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14263, 360, 13751])).
% 77.75/49.61 tff(14265,plain,
% 77.75/49.61 (v90(constB108, bitIndex1) | (~v90(constB109, bitIndex1))),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14264, 13763])).
% 77.75/49.61 tff(14266,plain,
% 77.75/49.61 (v90(constB108, bitIndex1)),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14265, 14257])).
% 77.75/49.61 tff(14267,plain,
% 77.75/49.61 (v100(constB108)),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[13708, 14266, 13649, 13648, 14249])).
% 77.75/49.61 tff(14268,plain,
% 77.75/49.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14269,plain,
% 77.75/49.61 (((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14270,plain,
% 77.75/49.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108))))),
% 77.75/49.61 inference(monotonicity,[status(thm)],[14269])).
% 77.75/49.61 tff(14271,plain,
% 77.75/49.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))),
% 77.75/49.61 inference(transitivity,[status(thm)],[14270, 14268])).
% 77.75/49.61 tff(14272,plain,
% 77.75/49.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1))),
% 77.75/49.61 inference(quant_inst,[status(thm)],[])).
% 77.75/49.61 tff(14273,plain,
% 77.75/49.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108))),
% 77.75/49.61 inference(modus_ponens,[status(thm)],[14272, 14271])).
% 77.75/49.61 tff(14274,plain,
% 77.75/49.61 (v129(constB108, bitIndex1) | (~v100(constB108))),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14273, 747, 14266])).
% 77.75/49.61 tff(14275,plain,
% 77.75/49.61 (v129(constB108, bitIndex1)),
% 77.75/49.61 inference(unit_resolution,[status(thm)],[14274, 14267])).
% 77.75/49.61 tff(14276,plain,
% 77.75/49.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1)))),
% 77.75/49.61 inference(rewrite,[status(thm)],[])).
% 77.75/49.61 tff(14277,plain,
% 77.75/49.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1)))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14278,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1))),
% 77.75/49.62 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 77.75/49.62 tff(14279,plain,
% 77.75/49.62 (v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1))),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14278, 732, 13532])).
% 77.75/49.62 tff(14280,plain,
% 77.75/49.62 (v127(constB107, bitIndex1)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14279, 14275])).
% 77.75/49.62 tff(14281,plain,
% 77.75/49.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14282,plain,
% 77.75/49.62 ((v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1))) <=> ((~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14283,plain,
% 77.75/49.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1)))),
% 77.75/49.62 inference(monotonicity,[status(thm)],[14282])).
% 77.75/49.62 tff(14284,plain,
% 77.75/49.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))),
% 77.75/49.62 inference(transitivity,[status(thm)],[14283, 14281])).
% 77.75/49.62 tff(14285,plain,
% 77.75/49.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1)))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14286,plain,
% 77.75/49.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1)),
% 77.75/49.62 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 77.75/49.62 tff(14287,plain,
% 77.75/49.62 ((~v127(constB107, bitIndex1)) | v130(constB107, bitIndex1)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14286, 714, 13524])).
% 77.75/49.62 tff(14288,plain,
% 77.75/49.62 (v130(constB107, bitIndex1)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14287, 14280])).
% 77.75/49.62 tff(14289,plain,
% 77.75/49.62 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB107)) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB107)) | (~v130(constB107, bitIndex1)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14290,plain,
% 77.75/49.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB107)) | (~v130(constB107, bitIndex1)))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14291,plain,
% 77.75/49.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB107)) | (~v130(constB107, bitIndex1))),
% 77.75/49.62 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 77.75/49.62 tff(14292,plain,
% 77.75/49.62 (~v119(constB107)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14291, 700, 14288])).
% 77.75/49.62 tff(14293,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14294,plain,
% 77.75/49.62 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2))) <=> (v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14295,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2))))),
% 77.75/49.62 inference(monotonicity,[status(thm)],[14294])).
% 77.75/49.62 tff(14296,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 77.75/49.62 inference(transitivity,[status(thm)],[14295, 14293])).
% 77.75/49.62 tff(14297,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14298,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2))),
% 77.75/49.62 inference(modus_ponens,[status(thm)],[14297, 14296])).
% 77.75/49.62 tff(14299,plain,
% 77.75/49.62 (v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2))),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14298, 339, 13861])).
% 77.75/49.62 tff(14300,plain,
% 77.75/49.62 (v90(constB109, bitIndex2)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14299, 14240, 14180])).
% 77.75/49.62 tff(14301,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14302,plain,
% 77.75/49.62 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14303,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))))),
% 77.75/49.62 inference(monotonicity,[status(thm)],[14302])).
% 77.75/49.62 tff(14304,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 77.75/49.62 inference(transitivity,[status(thm)],[14303, 14301])).
% 77.75/49.62 tff(14305,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14306,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 77.75/49.62 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 77.75/49.62 tff(14307,plain,
% 77.75/49.62 (v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14306, 339, 13751])).
% 77.75/49.62 tff(14308,plain,
% 77.75/49.62 (v90(constB108, bitIndex2) | (~v90(constB109, bitIndex2))),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14307, 13763])).
% 77.75/49.62 tff(14309,plain,
% 77.75/49.62 (v90(constB108, bitIndex2)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14308, 14300])).
% 77.75/49.62 tff(14310,plain,
% 77.75/49.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14311,plain,
% 77.75/49.62 (((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14312,plain,
% 77.75/49.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))))),
% 77.75/49.62 inference(monotonicity,[status(thm)],[14311])).
% 77.75/49.62 tff(14313,plain,
% 77.75/49.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 77.75/49.62 inference(transitivity,[status(thm)],[14312, 14310])).
% 77.75/49.62 tff(14314,plain,
% 77.75/49.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14315,plain,
% 77.75/49.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))),
% 77.75/49.62 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 77.75/49.62 tff(14316,plain,
% 77.75/49.62 (v129(constB108, bitIndex2) | (~v100(constB108))),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14315, 655, 14309])).
% 77.75/49.62 tff(14317,plain,
% 77.75/49.62 (v129(constB108, bitIndex2)),
% 77.75/49.62 inference(unit_resolution,[status(thm)],[14316, 14267])).
% 77.75/49.62 tff(14318,plain,
% 77.75/49.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 77.75/49.62 inference(rewrite,[status(thm)],[])).
% 77.75/49.62 tff(14319,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 77.75/49.62 inference(quant_inst,[status(thm)],[])).
% 77.75/49.62 tff(14320,plain,
% 77.75/49.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 77.75/49.63 tff(14321,plain,
% 77.75/49.63 (v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14320, 451, 13532])).
% 77.75/49.63 tff(14322,plain,
% 77.75/49.63 (v127(constB107, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14321, 14317])).
% 77.75/49.63 tff(14323,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14324,plain,
% 77.75/49.63 ((v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2))) <=> ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14325,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)))),
% 77.75/49.63 inference(monotonicity,[status(thm)],[14324])).
% 77.75/49.63 tff(14326,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 77.75/49.63 inference(transitivity,[status(thm)],[14325, 14323])).
% 77.75/49.63 tff(14327,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14328,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14327, 14326])).
% 77.75/49.63 tff(14329,plain,
% 77.75/49.63 ((~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14328, 430, 13524])).
% 77.75/49.63 tff(14330,plain,
% 77.75/49.63 (v130(constB107, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14329, 14322])).
% 77.75/49.63 tff(14331,plain,
% 77.75/49.63 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB107)) | (~v130(constB107, bitIndex2)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14332,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB107)) | (~v130(constB107, bitIndex2)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14333,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB107)) | (~v130(constB107, bitIndex2))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 77.75/49.63 tff(14334,plain,
% 77.75/49.63 (~v121(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14333, 1259, 14330])).
% 77.75/49.63 tff(14335,plain,
% 77.75/49.63 (v129(constB108, bitIndex0) | (~v100(constB108))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13826, 1145, 14249])).
% 77.75/49.63 tff(14336,plain,
% 77.75/49.63 (v129(constB108, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14335, 14267])).
% 77.75/49.63 tff(14337,plain,
% 77.75/49.63 (v127(constB107, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13819, 14336])).
% 77.75/49.63 tff(14338,plain,
% 77.75/49.63 (v130(constB107, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13814, 14337])).
% 77.75/49.63 tff(14339,plain,
% 77.75/49.63 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB107)) | (~v130(constB107, bitIndex0)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14340,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB107)) | (~v130(constB107, bitIndex0)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14341,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB107)) | (~v130(constB107, bitIndex0))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14340, 14339])).
% 77.75/49.63 tff(14342,plain,
% 77.75/49.63 (~v122(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14341, 1638, 14338])).
% 77.75/49.63 tff(14343,plain,
% 77.75/49.63 (~v124(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13806, 2112, 14338])).
% 77.75/49.63 tff(14344,plain,
% 77.75/49.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB107)) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB107)) | (~v130(constB107, bitIndex1)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14345,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB107)) | (~v130(constB107, bitIndex1)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14346,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB107)) | (~v130(constB107, bitIndex1))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14345, 14344])).
% 77.75/49.63 tff(14347,plain,
% 77.75/49.63 (~v123(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14346, 1765, 14288])).
% 77.75/49.63 tff(14348,assumption,(v120(constB107)), introduced(assumption)).
% 77.75/49.63 tff(14349,plain,
% 77.75/49.63 (v118(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13616, 908, 14348])).
% 77.75/49.63 tff(14350,plain,
% 77.75/49.63 (v117(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13604, 497, 14349])).
% 77.75/49.63 tff(14351,plain,
% 77.75/49.63 (v116(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13600, 508, 14350])).
% 77.75/49.63 tff(14352,plain,
% 77.75/49.63 (v115(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13596, 519, 14351])).
% 77.75/49.63 tff(14353,plain,
% 77.75/49.63 (v114(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13588, 530, 14352])).
% 77.75/49.63 tff(14354,plain,
% 77.75/49.63 (v113(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13584, 541, 14353])).
% 77.75/49.63 tff(14355,plain,
% 77.75/49.63 (v112(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13580, 14354])).
% 77.75/49.63 tff(14356,plain,
% 77.75/49.63 (v108(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13575, 464, 14355])).
% 77.75/49.63 tff(14357,plain,
% 77.75/49.63 (v110(constB108)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13571, 14356])).
% 77.75/49.63 tff(14358,plain,
% 77.75/49.63 (v100(constB108)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13563, 14357])).
% 77.75/49.63 tff(14359,plain,
% 77.75/49.63 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14360,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14361,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 77.75/49.63 tff(14362,plain,
% 77.75/49.63 (~v130(constB107, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14361, 872, 14348])).
% 77.75/49.63 tff(14363,plain,
% 77.75/49.63 (~v127(constB107, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14329, 14362])).
% 77.75/49.63 tff(14364,plain,
% 77.75/49.63 (~v129(constB108, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14321, 14363])).
% 77.75/49.63 tff(14365,plain,
% 77.75/49.63 ((~v90(constB108, bitIndex2)) | (~v100(constB108))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14315, 655, 14364])).
% 77.75/49.63 tff(14366,plain,
% 77.75/49.63 (~v90(constB108, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14365, 14358])).
% 77.75/49.63 tff(14367,plain,
% 77.75/49.63 (~v90(constB109, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14308, 14366])).
% 77.75/49.63 tff(14368,plain,
% 77.75/49.63 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14369,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14370,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 77.75/49.63 tff(14371,plain,
% 77.75/49.63 (v130(constB107, bitIndex1)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14370, 1017, 14348])).
% 77.75/49.63 tff(14372,plain,
% 77.75/49.63 (v127(constB107, bitIndex1)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13780, 14371])).
% 77.75/49.63 tff(14373,plain,
% 77.75/49.63 (v129(constB108, bitIndex1)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13785, 14372])).
% 77.75/49.63 tff(14374,plain,
% 77.75/49.63 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13792, 1061, 14373])).
% 77.75/49.63 tff(14375,plain,
% 77.75/49.63 (v90(constB108, bitIndex1)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14374, 14358])).
% 77.75/49.63 tff(14376,plain,
% 77.75/49.63 (v90(constB109, bitIndex1)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13802, 14375])).
% 77.75/49.63 tff(14377,plain,
% 77.75/49.63 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14378,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14379,plain,
% 77.75/49.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 77.75/49.63 tff(14380,plain,
% 77.75/49.63 (~v130(constB107, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14379, 1098, 14348])).
% 77.75/49.63 tff(14381,plain,
% 77.75/49.63 (~v127(constB107, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13814, 14380])).
% 77.75/49.63 tff(14382,plain,
% 77.75/49.63 (~v129(constB108, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13819, 14381])).
% 77.75/49.63 tff(14383,plain,
% 77.75/49.63 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13826, 1145, 14382])).
% 77.75/49.63 tff(14384,plain,
% 77.75/49.63 (~v90(constB108, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14383, 14358])).
% 77.75/49.63 tff(14385,plain,
% 77.75/49.63 (~v90(constB109, bitIndex0)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13836, 14384])).
% 77.75/49.63 tff(14386,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14387,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14388,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14387, 14386])).
% 77.75/49.63 tff(14389,plain,
% 77.75/49.63 (v121(constB109)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14388, 1172, 14385, 14376, 14367])).
% 77.75/49.63 tff(14390,plain,
% 77.75/49.63 (v100(constB110)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14247, 14385, 14195])).
% 77.75/49.63 tff(14391,plain,
% 77.75/49.63 (v129(constB110, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14230, 14390])).
% 77.75/49.63 tff(14392,plain,
% 77.75/49.63 (v127(constB109, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13938, 14391])).
% 77.75/49.63 tff(14393,plain,
% 77.75/49.63 (v130(constB109, bitIndex2)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[13933, 14392])).
% 77.75/49.63 tff(14394,plain,
% 77.75/49.63 ($false),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14237, 1259, 14393, 14389])).
% 77.75/49.63 tff(14395,plain,((~v120(constB107)) | (~v90(constB110, bitIndex2)) | (~v90(constB110, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.75/49.63 tff(14396,plain,
% 77.75/49.63 (~v120(constB107)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14395, 14180, 14149])).
% 77.75/49.63 tff(14397,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | (~v130(constB107, bitIndex1)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14398,plain,
% 77.75/49.63 ((v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1))) <=> (v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | (~v130(constB107, bitIndex1)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14399,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | (~v130(constB107, bitIndex1))))),
% 77.75/49.63 inference(monotonicity,[status(thm)],[14398])).
% 77.75/49.63 tff(14400,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | (~v130(constB107, bitIndex1)))),
% 77.75/49.63 inference(transitivity,[status(thm)],[14399, 14397])).
% 77.75/49.63 tff(14401,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14402,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | (~v130(constB107, bitIndex1))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 77.75/49.63 tff(14403,plain,
% 77.75/49.63 (v124(constB107) | v123(constB107) | v122(constB107) | v121(constB107) | v119(constB107) | (~v130(constB107, bitIndex1))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14402, 2355, 14396])).
% 77.75/49.63 tff(14404,plain,
% 77.75/49.63 ($false),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14403, 14347, 14343, 14288, 14342, 14334, 14292])).
% 77.75/49.63 tff(14405,plain,(v113(constB111) | (~v100(constB106)) | v130(constB105, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 77.75/49.63 tff(14406,plain,
% 77.75/49.63 (v113(constB111)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14405, 13394, 13451])).
% 77.75/49.63 tff(14407,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14408,plain,
% 77.75/49.63 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14409,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 77.75/49.63 inference(monotonicity,[status(thm)],[14408])).
% 77.75/49.63 tff(14410,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 77.75/49.63 inference(transitivity,[status(thm)],[14409, 14407])).
% 77.75/49.63 tff(14411,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14412,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14411, 14410])).
% 77.75/49.63 tff(14413,plain,
% 77.75/49.63 (v112(constB111) | (~v113(constB111))),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14412, 555, 14060])).
% 77.75/49.63 tff(14414,plain,
% 77.75/49.63 (v112(constB111)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14413, 14406])).
% 77.75/49.63 tff(14415,plain,
% 77.75/49.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111)))),
% 77.75/49.63 inference(rewrite,[status(thm)],[])).
% 77.75/49.63 tff(14416,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))),
% 77.75/49.63 inference(quant_inst,[status(thm)],[])).
% 77.75/49.63 tff(14417,plain,
% 77.75/49.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111))),
% 77.75/49.63 inference(modus_ponens,[status(thm)],[14416, 14415])).
% 77.75/49.63 tff(14418,plain,
% 77.75/49.63 (v108(constB111)),
% 77.75/49.63 inference(unit_resolution,[status(thm)],[14417, 464, 14414])).
% 77.75/49.63 tff(14419,plain,
% 77.75/49.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14420,plain,
% 77.75/49.64 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14421,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 77.75/49.64 inference(monotonicity,[status(thm)],[14420])).
% 77.75/49.64 tff(14422,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 77.75/49.64 inference(transitivity,[status(thm)],[14421, 14419])).
% 77.75/49.64 tff(14423,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14424,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14423, 14422])).
% 77.75/49.64 tff(14425,plain,
% 77.75/49.64 (v110(constB112) | (~v108(constB111))),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14424, 571, 14068])).
% 77.75/49.64 tff(14426,plain,
% 77.75/49.64 (v110(constB112)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14425, 14418])).
% 77.75/49.64 tff(14427,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14428,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14429,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 77.75/49.64 tff(14430,plain,
% 77.75/49.64 (~v104(constB112)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14429, 589, 14068, 13950])).
% 77.75/49.64 tff(14431,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14432,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14433,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14432, 14431])).
% 77.75/49.64 tff(14434,plain,
% 77.75/49.64 (v102(constB112) | v104(constB112)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14433, 603, 14068])).
% 77.75/49.64 tff(14435,plain,
% 77.75/49.64 (v102(constB112)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14434, 14430])).
% 77.75/49.64 tff(14436,plain,
% 77.75/49.64 (v1(constB112) <=> v1(constB112)),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14437,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 77.75/49.64 tff(14438,plain,
% 77.75/49.64 (v1(constB112)),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 77.75/49.64 tff(14439,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14440,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14441,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14440, 14439])).
% 77.75/49.64 tff(14442,plain,
% 77.75/49.64 (v101(constB112) | (~v102(constB112))),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14441, 621, 14068, 14438])).
% 77.75/49.64 tff(14443,plain,
% 77.75/49.64 (v101(constB112)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14442, 14435])).
% 77.75/49.64 tff(14444,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14445,plain,
% 77.75/49.64 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14446,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 77.75/49.64 inference(monotonicity,[status(thm)],[14445])).
% 77.75/49.64 tff(14447,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 77.75/49.64 inference(transitivity,[status(thm)],[14446, 14444])).
% 77.75/49.64 tff(14448,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14449,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 77.75/49.64 tff(14450,plain,
% 77.75/49.64 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14449, 636, 14068])).
% 77.75/49.64 tff(14451,plain,
% 77.75/49.64 (v100(constB112) | (~v110(constB112))),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14450, 14443])).
% 77.75/49.64 tff(14452,plain,
% 77.75/49.64 (v100(constB112)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14451, 14426])).
% 77.75/49.64 tff(14453,plain,
% 77.75/49.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14454,plain,
% 77.75/49.64 ((v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14455,plain,
% 77.75/49.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))))),
% 77.75/49.64 inference(monotonicity,[status(thm)],[14454])).
% 77.75/49.64 tff(14456,plain,
% 77.75/49.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 77.75/49.64 inference(transitivity,[status(thm)],[14455, 14453])).
% 77.75/49.64 tff(14457,plain,
% 77.75/49.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14458,plain,
% 77.75/49.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 77.75/49.64 tff(14459,plain,
% 77.75/49.64 (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1))),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14458, 1061, 14452])).
% 77.75/49.64 tff(14460,plain,
% 77.75/49.64 (v90(constB112, bitIndex1)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14459, 14073])).
% 77.75/49.64 tff(14461,plain,
% 77.75/49.64 ((~v1(constB113)) <=> (~v1(constB113))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14462,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 77.75/49.64 tff(14463,plain,
% 77.75/49.64 (~v1(constB113)),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14462, 14461])).
% 77.75/49.64 tff(14464,plain,
% 77.75/49.64 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14465,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 77.75/49.64 tff(14466,plain,
% 77.75/49.64 (nextState(constB112, constB113)),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 77.75/49.64 tff(14467,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14468,plain,
% 77.75/49.64 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14469,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 77.75/49.64 inference(monotonicity,[status(thm)],[14468])).
% 77.75/49.64 tff(14470,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 77.75/49.64 inference(transitivity,[status(thm)],[14469, 14467])).
% 77.75/49.64 tff(14471,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14472,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 77.75/49.64 tff(14473,plain,
% 77.75/49.64 (~v101(constB113)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14472, 307, 14466, 14463])).
% 77.75/49.64 tff(14474,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14475,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 77.75/49.64 inference(quant_inst,[status(thm)],[])).
% 77.75/49.64 tff(14476,plain,
% 77.75/49.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 77.75/49.64 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 77.75/49.64 tff(14477,plain,
% 77.75/49.64 (v101(constB113) | (~v100(constB113))),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14476, 324, 14466])).
% 77.75/49.64 tff(14478,plain,
% 77.75/49.64 (~v100(constB113)),
% 77.75/49.64 inference(unit_resolution,[status(thm)],[14477, 14473])).
% 77.75/49.64 tff(14479,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14480,plain,
% 77.75/49.64 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 77.75/49.64 inference(rewrite,[status(thm)],[])).
% 77.75/49.64 tff(14481,plain,
% 77.75/49.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)))),
% 77.75/49.65 inference(monotonicity,[status(thm)],[14480])).
% 77.75/49.65 tff(14482,plain,
% 77.75/49.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 77.75/49.65 inference(transitivity,[status(thm)],[14481, 14479])).
% 77.75/49.65 tff(14483,plain,
% 77.75/49.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))),
% 77.75/49.65 inference(quant_inst,[status(thm)],[])).
% 77.75/49.65 tff(14484,plain,
% 77.75/49.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)),
% 77.75/49.65 inference(modus_ponens,[status(thm)],[14483, 14482])).
% 77.75/49.65 tff(14485,plain,
% 77.75/49.65 ((~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14484, 1079, 14466])).
% 77.75/49.65 tff(14486,plain,
% 77.75/49.65 ((~v90(constB112, bitIndex1)) | v90(constB113, bitIndex1)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14485, 14478])).
% 77.75/49.65 tff(14487,plain,
% 77.75/49.65 (v90(constB113, bitIndex1)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14486, 14460])).
% 77.75/49.65 tff(14488,plain,
% 77.75/49.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14489,plain,
% 77.75/49.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 77.75/49.65 inference(quant_inst,[status(thm)],[])).
% 77.75/49.65 tff(14490,plain,
% 77.75/49.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2))),
% 77.75/49.65 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 77.75/49.65 tff(14491,plain,
% 77.75/49.65 (~v130(constB111, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14490, 872, 14052])).
% 77.75/49.65 tff(14492,plain,
% 77.75/49.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14493,plain,
% 77.75/49.65 ((v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2))) <=> ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14494,plain,
% 77.75/49.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)))),
% 77.75/49.65 inference(monotonicity,[status(thm)],[14493])).
% 77.75/49.65 tff(14495,plain,
% 77.75/49.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 77.75/49.65 inference(transitivity,[status(thm)],[14494, 14492])).
% 77.75/49.65 tff(14496,plain,
% 77.75/49.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))),
% 77.75/49.65 inference(quant_inst,[status(thm)],[])).
% 77.75/49.65 tff(14497,plain,
% 77.75/49.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)),
% 77.75/49.65 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 77.75/49.65 tff(14498,plain,
% 77.75/49.65 ((~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14497, 430, 14060])).
% 77.75/49.65 tff(14499,plain,
% 77.75/49.65 (~v127(constB111, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14498, 14491])).
% 77.75/49.65 tff(14500,plain,
% 77.75/49.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14501,plain,
% 77.75/49.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 77.75/49.65 inference(quant_inst,[status(thm)],[])).
% 77.75/49.65 tff(14502,plain,
% 77.75/49.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 77.75/49.65 inference(modus_ponens,[status(thm)],[14501, 14500])).
% 77.75/49.65 tff(14503,plain,
% 77.75/49.65 (v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14502, 451, 14068])).
% 77.75/49.65 tff(14504,plain,
% 77.75/49.65 (~v129(constB112, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14503, 14499])).
% 77.75/49.65 tff(14505,plain,
% 77.75/49.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14506,plain,
% 77.75/49.65 (((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14507,plain,
% 77.75/49.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))))),
% 77.75/49.65 inference(monotonicity,[status(thm)],[14506])).
% 77.75/49.65 tff(14508,plain,
% 77.75/49.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 77.75/49.65 inference(transitivity,[status(thm)],[14507, 14505])).
% 77.75/49.65 tff(14509,plain,
% 77.75/49.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))),
% 77.75/49.65 inference(quant_inst,[status(thm)],[])).
% 77.75/49.65 tff(14510,plain,
% 77.75/49.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))),
% 77.75/49.65 inference(modus_ponens,[status(thm)],[14509, 14508])).
% 77.75/49.65 tff(14511,plain,
% 77.75/49.65 ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14510, 655, 14452])).
% 77.75/49.65 tff(14512,plain,
% 77.75/49.65 (~v90(constB112, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14511, 14504])).
% 77.75/49.65 tff(14513,plain,
% 77.75/49.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14514,plain,
% 77.75/49.65 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 77.75/49.65 inference(rewrite,[status(thm)],[])).
% 77.75/49.65 tff(14515,plain,
% 77.75/49.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))))),
% 77.75/49.65 inference(monotonicity,[status(thm)],[14514])).
% 77.75/49.65 tff(14516,plain,
% 77.75/49.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 77.75/49.65 inference(transitivity,[status(thm)],[14515, 14513])).
% 77.75/49.65 tff(14517,plain,
% 77.75/49.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 77.75/49.65 inference(quant_inst,[status(thm)],[])).
% 77.75/49.65 tff(14518,plain,
% 77.75/49.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 77.75/49.65 inference(modus_ponens,[status(thm)],[14517, 14516])).
% 77.75/49.65 tff(14519,plain,
% 77.75/49.65 (v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14518, 339, 14466])).
% 77.75/49.65 tff(14520,plain,
% 77.75/49.65 (v90(constB112, bitIndex2) | (~v90(constB113, bitIndex2))),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14519, 14478])).
% 77.75/49.65 tff(14521,plain,
% 77.75/49.65 (~v90(constB113, bitIndex2)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[14520, 14512])).
% 77.75/49.65 tff(14522,assumption,(v123(constB105)), introduced(assumption)).
% 77.75/49.65 tff(14523,plain,
% 77.75/49.65 (~v130(constB105, bitIndex1)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[13450, 1765, 14522])).
% 77.75/49.65 tff(14524,plain,
% 77.75/49.65 (v115(constB105)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[13328, 1693, 14522])).
% 77.75/49.65 tff(14525,plain,
% 77.75/49.65 (v114(constB105)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[13332, 530, 14524])).
% 77.75/49.65 tff(14526,plain,
% 77.75/49.65 (v113(constB105)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[13336, 541, 14525])).
% 77.75/49.65 tff(14527,plain,
% 77.75/49.65 (v108(constB105)),
% 77.75/49.65 inference(unit_resolution,[status(thm)],[13356, 14526])).
% 77.75/49.66 tff(14528,plain,
% 77.75/49.66 (v110(constB106)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13367, 14527])).
% 77.75/49.66 tff(14529,plain,
% 77.75/49.66 (v100(constB106)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13393, 14528])).
% 77.75/49.66 tff(14530,plain,
% 77.75/49.66 (v113(constB111)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14405, 14529, 14523])).
% 77.75/49.66 tff(14531,plain,
% 77.75/49.66 (v112(constB111)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14413, 14530])).
% 77.75/49.66 tff(14532,plain,
% 77.75/49.66 (v108(constB111)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14417, 464, 14531])).
% 77.75/49.66 tff(14533,plain,
% 77.75/49.66 (v110(constB112)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14425, 14532])).
% 77.75/49.66 tff(14534,plain,
% 77.75/49.66 (v100(constB112)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14451, 14533])).
% 77.75/49.66 tff(14535,assumption,(v90(constB112, bitIndex0)), introduced(assumption)).
% 77.75/49.66 tff(14536,plain,
% 77.75/49.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14537,plain,
% 77.75/49.66 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14538,plain,
% 77.75/49.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 77.75/49.66 inference(monotonicity,[status(thm)],[14537])).
% 77.75/49.66 tff(14539,plain,
% 77.75/49.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 77.75/49.66 inference(transitivity,[status(thm)],[14538, 14536])).
% 77.75/49.66 tff(14540,plain,
% 77.75/49.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14541,plain,
% 77.75/49.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 77.75/49.66 tff(14542,plain,
% 77.75/49.66 (v129(constB112, bitIndex0) | (~v100(constB112))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14541, 1145, 14535])).
% 77.75/49.66 tff(14543,plain,
% 77.75/49.66 (v129(constB112, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14542, 14534])).
% 77.75/49.66 tff(14544,plain,
% 77.75/49.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14545,plain,
% 77.75/49.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14546,plain,
% 77.75/49.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 77.75/49.66 tff(14547,plain,
% 77.75/49.66 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14546, 1130, 14068])).
% 77.75/49.66 tff(14548,plain,
% 77.75/49.66 (v127(constB111, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14547, 14543])).
% 77.75/49.66 tff(14549,plain,
% 77.75/49.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14550,plain,
% 77.75/49.66 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14551,plain,
% 77.75/49.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 77.75/49.66 inference(monotonicity,[status(thm)],[14550])).
% 77.75/49.66 tff(14552,plain,
% 77.75/49.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 77.75/49.66 inference(transitivity,[status(thm)],[14551, 14549])).
% 77.75/49.66 tff(14553,plain,
% 77.75/49.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14554,plain,
% 77.75/49.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 77.75/49.66 tff(14555,plain,
% 77.75/49.66 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14554, 1112, 14060])).
% 77.75/49.66 tff(14556,plain,
% 77.75/49.66 (v130(constB111, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14555, 14548])).
% 77.75/49.66 tff(14557,plain,
% 77.75/49.66 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14558,plain,
% 77.75/49.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14559,plain,
% 77.75/49.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0))),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14558, 14557])).
% 77.75/49.66 tff(14560,plain,
% 77.75/49.66 (~v120(constB111)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14559, 1098, 14556])).
% 77.75/49.66 tff(14561,plain,
% 77.75/49.66 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB111)) | (~v130(constB111, bitIndex0)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14562,plain,
% 77.75/49.66 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB111)) | (~v130(constB111, bitIndex0)))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14563,plain,
% 77.75/49.66 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB111)) | (~v130(constB111, bitIndex0))),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14562, 14561])).
% 77.75/49.66 tff(14564,plain,
% 77.75/49.66 (~v124(constB111)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14563, 2112, 14556])).
% 77.75/49.66 tff(14565,plain,
% 77.75/49.66 (v130(constB105, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13397, 1877, 14522])).
% 77.75/49.66 tff(14566,plain,
% 77.75/49.66 (v127(constB105, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13406, 14565])).
% 77.75/49.66 tff(14567,plain,
% 77.75/49.66 (v129(constB106, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13411, 14566])).
% 77.75/49.66 tff(14568,plain,
% 77.75/49.66 (v90(constB106, bitIndex2) | (~v100(constB106))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13418, 1539, 14567])).
% 77.75/49.66 tff(14569,plain,
% 77.75/49.66 (v90(constB106, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14568, 14529])).
% 77.75/49.66 tff(14570,plain,
% 77.75/49.66 (v90(constB107, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13446, 14569])).
% 77.75/49.66 tff(14571,plain,
% 77.75/49.66 (~v127(constB105, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13458, 14523])).
% 77.75/49.66 tff(14572,plain,
% 77.75/49.66 (~v129(constB106, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13463, 14571])).
% 77.75/49.66 tff(14573,plain,
% 77.75/49.66 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13470, 747, 14572])).
% 77.75/49.66 tff(14574,plain,
% 77.75/49.66 (~v90(constB106, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14573, 14529])).
% 77.75/49.66 tff(14575,plain,
% 77.75/49.66 (~v90(constB107, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13480, 14574])).
% 77.75/49.66 tff(14576,plain,
% 77.75/49.66 (v130(constB105, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13484, 1836, 14522])).
% 77.75/49.66 tff(14577,plain,
% 77.75/49.66 (v127(constB105, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13489, 14576])).
% 77.75/49.66 tff(14578,plain,
% 77.75/49.66 (v129(constB106, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13494, 14577])).
% 77.75/49.66 tff(14579,plain,
% 77.75/49.66 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13501, 818, 14578])).
% 77.75/49.66 tff(14580,plain,
% 77.75/49.66 (v90(constB106, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14579, 14529])).
% 77.75/49.66 tff(14581,plain,
% 77.75/49.66 (v90(constB107, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13511, 14580])).
% 77.75/49.66 tff(14582,plain,
% 77.75/49.66 (v124(constB107)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13515, 1919, 14581, 14575, 14570])).
% 77.75/49.66 tff(14583,plain,
% 77.75/49.66 (v130(constB107, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13519, 2050, 14582])).
% 77.75/49.66 tff(14584,plain,
% 77.75/49.66 (v127(constB107, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13528, 14583])).
% 77.75/49.66 tff(14585,plain,
% 77.75/49.66 (v129(constB108, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13536, 14584])).
% 77.75/49.66 tff(14586,plain,
% 77.75/49.66 (v100(constB108)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13736, 14529, 14523])).
% 77.75/49.66 tff(14587,plain,
% 77.75/49.66 (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13743, 1539, 14586])).
% 77.75/49.66 tff(14588,plain,
% 77.75/49.66 (v90(constB108, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14587, 14585])).
% 77.75/49.66 tff(14589,plain,
% 77.75/49.66 (v90(constB109, bitIndex2)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13771, 14588])).
% 77.75/49.66 tff(14590,plain,
% 77.75/49.66 (v130(constB107, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13775, 1936, 14582])).
% 77.75/49.66 tff(14591,plain,
% 77.75/49.66 (v127(constB107, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13780, 14590])).
% 77.75/49.66 tff(14592,plain,
% 77.75/49.66 (v129(constB108, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13785, 14591])).
% 77.75/49.66 tff(14593,plain,
% 77.75/49.66 (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13792, 1061, 14586])).
% 77.75/49.66 tff(14594,plain,
% 77.75/49.66 (v90(constB108, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14593, 14592])).
% 77.75/49.66 tff(14595,plain,
% 77.75/49.66 (v90(constB109, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13802, 14594])).
% 77.75/49.66 tff(14596,plain,
% 77.75/49.66 (~v130(constB107, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13806, 2112, 14582])).
% 77.75/49.66 tff(14597,plain,
% 77.75/49.66 (~v127(constB107, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13814, 14596])).
% 77.75/49.66 tff(14598,plain,
% 77.75/49.66 (~v129(constB108, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13819, 14597])).
% 77.75/49.66 tff(14599,plain,
% 77.75/49.66 ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13826, 1145, 14586])).
% 77.75/49.66 tff(14600,plain,
% 77.75/49.66 (~v90(constB108, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14599, 14598])).
% 77.75/49.66 tff(14601,plain,
% 77.75/49.66 (~v90(constB109, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13836, 14600])).
% 77.75/49.66 tff(14602,plain,
% 77.75/49.66 (v125(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13840, 2156, 14601, 14595, 14589])).
% 77.75/49.66 tff(14603,plain,
% 77.75/49.66 (v113(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13844, 2167, 14602])).
% 77.75/49.66 tff(14604,plain,
% 77.75/49.66 (v112(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13853, 14603])).
% 77.75/49.66 tff(14605,plain,
% 77.75/49.66 (v108(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13857, 464, 14604])).
% 77.75/49.66 tff(14606,plain,
% 77.75/49.66 (v110(constB110)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13868, 14605])).
% 77.75/49.66 tff(14607,plain,
% 77.75/49.66 (v100(constB110)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13894, 14606])).
% 77.75/49.66 tff(14608,plain,
% 77.75/49.66 (~v120(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13898, 2254, 14595])).
% 77.75/49.66 tff(14609,plain,
% 77.75/49.66 (~v124(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13902, 2276, 14595])).
% 77.75/49.66 tff(14610,plain,
% 77.75/49.66 (~v119(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13906, 2243, 14595])).
% 77.75/49.66 tff(14611,plain,
% 77.75/49.66 (~v121(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13910, 2218, 14589])).
% 77.75/49.66 tff(14612,plain,
% 77.75/49.66 (~v123(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13914, 2265, 14595])).
% 77.75/49.66 tff(14613,plain,
% 77.75/49.66 (~v122(constB109)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13918, 2229, 14589])).
% 77.75/49.66 tff(14614,plain,
% 77.75/49.66 (v130(constB109, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14017, 2402, 14613, 14612, 14611, 14610, 14609, 14608])).
% 77.75/49.66 tff(14615,plain,
% 77.75/49.66 (v127(constB109, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14022, 14614])).
% 77.75/49.66 tff(14616,plain,
% 77.75/49.66 (v129(constB110, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14027, 14615])).
% 77.75/49.66 tff(14617,plain,
% 77.75/49.66 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14034, 818, 14616])).
% 77.75/49.66 tff(14618,plain,
% 77.75/49.66 (v90(constB110, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14617, 14607])).
% 77.75/49.66 tff(14619,plain,
% 77.75/49.66 (v90(constB111, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14044, 14618])).
% 77.75/49.66 tff(14620,plain,
% 77.75/49.66 (~v130(constB109, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13980, 2355, 14613, 14612, 14611, 14610, 14609, 14608])).
% 77.75/49.66 tff(14621,plain,
% 77.75/49.66 (~v127(constB109, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13988, 14620])).
% 77.75/49.66 tff(14622,plain,
% 77.75/49.66 (~v129(constB110, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[13993, 14621])).
% 77.75/49.66 tff(14623,plain,
% 77.75/49.66 ((~v90(constB110, bitIndex1)) | (~v100(constB110))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14000, 747, 14622])).
% 77.75/49.66 tff(14624,plain,
% 77.75/49.66 (~v90(constB110, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14623, 14607])).
% 77.75/49.66 tff(14625,plain,
% 77.75/49.66 (~v90(constB111, bitIndex1)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14010, 14624])).
% 77.75/49.66 tff(14626,plain,
% 77.75/49.66 ($false),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14168, 14625, 14619, 14564, 14560])).
% 77.75/49.66 tff(14627,plain,((~v123(constB105)) | (~v90(constB112, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.75/49.66 tff(14628,plain,
% 77.75/49.66 (~v90(constB112, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14627, 13325])).
% 77.75/49.66 tff(14629,plain,
% 77.75/49.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14630,plain,
% 77.75/49.66 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14631,plain,
% 77.75/49.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 77.75/49.66 inference(monotonicity,[status(thm)],[14630])).
% 77.75/49.66 tff(14632,plain,
% 77.75/49.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 77.75/49.66 inference(transitivity,[status(thm)],[14631, 14629])).
% 77.75/49.66 tff(14633,plain,
% 77.75/49.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14634,plain,
% 77.75/49.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14633, 14632])).
% 77.75/49.66 tff(14635,plain,
% 77.75/49.66 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14634, 381, 14466])).
% 77.75/49.66 tff(14636,plain,
% 77.75/49.66 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14635, 14478])).
% 77.75/49.66 tff(14637,plain,
% 77.75/49.66 (~v90(constB113, bitIndex0)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14636, 14628])).
% 77.75/49.66 tff(14638,plain,
% 77.75/49.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 77.75/49.66 inference(rewrite,[status(thm)],[])).
% 77.75/49.66 tff(14639,plain,
% 77.75/49.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 77.75/49.66 inference(quant_inst,[status(thm)],[])).
% 77.75/49.66 tff(14640,plain,
% 77.75/49.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113)),
% 77.75/49.66 inference(modus_ponens,[status(thm)],[14639, 14638])).
% 77.75/49.66 tff(14641,plain,
% 77.75/49.66 ((~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14640, 1172, 14637])).
% 77.75/49.66 tff(14642,plain,
% 77.75/49.66 (v121(constB113)),
% 77.75/49.66 inference(unit_resolution,[status(thm)],[14641, 14521, 14487])).
% 77.75/49.67 tff(14643,plain,
% 77.75/49.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14644,plain,
% 77.75/49.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14645,plain,
% 77.75/49.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14644, 14643])).
% 77.75/49.67 tff(14646,plain,
% 77.75/49.67 (v130(constB113, bitIndex1)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14645, 1321, 14642])).
% 77.75/49.67 tff(14647,assumption,(v26(constB113)), introduced(assumption)).
% 77.75/49.67 tff(14648,plain,
% 77.75/49.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14649,plain,
% 77.75/49.67 ($false),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14648, 14, 14647])).
% 77.75/49.67 tff(14650,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 77.75/49.67 tff(14651,plain,
% 77.75/49.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14652,plain,
% 77.75/49.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14653,plain,
% 77.75/49.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14652, 14651])).
% 77.75/49.67 tff(14654,plain,
% 77.75/49.67 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14653, 1031, 14650])).
% 77.75/49.67 tff(14655,plain,
% 77.75/49.67 (v127(constB113, bitIndex1)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14654, 14646])).
% 77.75/49.67 tff(14656,plain,
% 77.75/49.67 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14657,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 77.75/49.67 tff(14658,plain,
% 77.75/49.67 (nextState(constB113, constB114)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14657, 14656])).
% 77.75/49.67 tff(14659,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14660,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14661,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14660, 14659])).
% 77.75/49.67 tff(14662,plain,
% 77.75/49.67 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14661, 1046, 14658])).
% 77.75/49.67 tff(14663,plain,
% 77.75/49.67 (v129(constB114, bitIndex1)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14662, 14655])).
% 77.75/49.67 tff(14664,assumption,(v121(constB113)), introduced(assumption)).
% 77.75/49.67 tff(14665,plain,
% 77.75/49.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14666,plain,
% 77.75/49.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14667,plain,
% 77.75/49.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14666, 14665])).
% 77.75/49.67 tff(14668,plain,
% 77.75/49.67 (v130(constB113, bitIndex0)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14667, 1362, 14664])).
% 77.75/49.67 tff(14669,plain,
% 77.75/49.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14670,plain,
% 77.75/49.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14671,plain,
% 77.75/49.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14670, 14669])).
% 77.75/49.67 tff(14672,plain,
% 77.75/49.67 ((~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14671, 788, 14650])).
% 77.75/49.67 tff(14673,plain,
% 77.75/49.67 (v127(constB113, bitIndex0)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14672, 14668])).
% 77.75/49.67 tff(14674,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14675,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14676,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14675, 14674])).
% 77.75/49.67 tff(14677,plain,
% 77.75/49.67 ((~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14676, 803, 14658])).
% 77.75/49.67 tff(14678,plain,
% 77.75/49.67 (v129(constB114, bitIndex0)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14677, 14673])).
% 77.75/49.67 tff(14679,assumption,(~v90(constB114, bitIndex0)), introduced(assumption)).
% 77.75/49.67 tff(14680,plain,
% 77.75/49.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14681,plain,
% 77.75/49.67 ((v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14682,plain,
% 77.75/49.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))))),
% 77.75/49.67 inference(monotonicity,[status(thm)],[14681])).
% 77.75/49.67 tff(14683,plain,
% 77.75/49.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 77.75/49.67 inference(transitivity,[status(thm)],[14682, 14680])).
% 77.75/49.67 tff(14684,plain,
% 77.75/49.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14685,plain,
% 77.75/49.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 77.75/49.67 tff(14686,plain,
% 77.75/49.67 ((~v129(constB114, bitIndex0)) | (~v100(constB114))),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14685, 818, 14679])).
% 77.75/49.67 tff(14687,plain,
% 77.75/49.67 (~v100(constB114)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14686, 14678])).
% 77.75/49.67 tff(14688,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14689,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14690,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14689, 14688])).
% 77.75/49.67 tff(14691,plain,
% 77.75/49.67 (~v104(constB114)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14690, 589, 14658, 14463])).
% 77.75/49.67 tff(14692,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14693,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14694,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14693, 14692])).
% 77.75/49.67 tff(14695,plain,
% 77.75/49.67 (v102(constB114) | v104(constB114)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14694, 603, 14658])).
% 77.75/49.67 tff(14696,plain,
% 77.75/49.67 (v102(constB114)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14695, 14691])).
% 77.75/49.67 tff(14697,plain,
% 77.75/49.67 (v1(constB114) <=> v1(constB114)),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14698,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 77.75/49.67 tff(14699,plain,
% 77.75/49.67 (v1(constB114)),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14698, 14697])).
% 77.75/49.67 tff(14700,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14701,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14702,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14701, 14700])).
% 77.75/49.67 tff(14703,plain,
% 77.75/49.67 (v101(constB114) | (~v102(constB114))),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14702, 621, 14658, 14699])).
% 77.75/49.67 tff(14704,plain,
% 77.75/49.67 (v101(constB114)),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14703, 14696])).
% 77.75/49.67 tff(14705,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14706,plain,
% 77.75/49.67 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 77.75/49.67 inference(rewrite,[status(thm)],[])).
% 77.75/49.67 tff(14707,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 77.75/49.67 inference(monotonicity,[status(thm)],[14706])).
% 77.75/49.67 tff(14708,plain,
% 77.75/49.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 77.75/49.67 inference(transitivity,[status(thm)],[14707, 14705])).
% 77.75/49.67 tff(14709,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 77.75/49.67 inference(quant_inst,[status(thm)],[])).
% 77.75/49.67 tff(14710,plain,
% 77.75/49.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 77.75/49.67 inference(modus_ponens,[status(thm)],[14709, 14708])).
% 77.75/49.67 tff(14711,plain,
% 77.75/49.67 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14710, 636, 14658])).
% 77.75/49.67 tff(14712,plain,
% 77.75/49.67 (v100(constB114) | (~v110(constB114))),
% 77.75/49.67 inference(unit_resolution,[status(thm)],[14711, 14704])).
% 77.85/49.68 tff(14713,plain,
% 77.85/49.68 (~v110(constB114)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14712, 14687])).
% 77.85/49.68 tff(14714,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14715,plain,
% 77.85/49.68 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14716,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 77.85/49.68 inference(monotonicity,[status(thm)],[14715])).
% 77.85/49.68 tff(14717,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 77.85/49.68 inference(transitivity,[status(thm)],[14716, 14714])).
% 77.85/49.68 tff(14718,plain,
% 77.85/49.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14719,plain,
% 77.85/49.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14718, 14717])).
% 77.85/49.68 tff(14720,plain,
% 77.85/49.68 (v110(constB114) | (~v108(constB113))),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14719, 571, 14658])).
% 77.85/49.68 tff(14721,plain,
% 77.85/49.68 (~v108(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14720, 14713])).
% 77.85/49.68 tff(14722,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14723,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14724,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14723, 14722])).
% 77.85/49.68 tff(14725,plain,
% 77.85/49.68 (~v112(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14724, 464, 14721])).
% 77.85/49.68 tff(14726,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14727,plain,
% 77.85/49.68 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14728,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 77.85/49.68 inference(monotonicity,[status(thm)],[14727])).
% 77.85/49.68 tff(14729,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 77.85/49.68 inference(transitivity,[status(thm)],[14728, 14726])).
% 77.85/49.68 tff(14730,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14731,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14730, 14729])).
% 77.85/49.68 tff(14732,plain,
% 77.85/49.68 (v112(constB113) | (~v113(constB113))),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14731, 555, 14650])).
% 77.85/49.68 tff(14733,plain,
% 77.85/49.68 (~v113(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14732, 14725])).
% 77.85/49.68 tff(14734,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14735,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14736,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14735, 14734])).
% 77.85/49.68 tff(14737,plain,
% 77.85/49.68 (~v114(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14736, 541, 14733])).
% 77.85/49.68 tff(14738,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14739,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14740,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14739, 14738])).
% 77.85/49.68 tff(14741,plain,
% 77.85/49.68 (v117(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14740, 1183, 14664])).
% 77.85/49.68 tff(14742,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14743,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14744,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14743, 14742])).
% 77.85/49.68 tff(14745,plain,
% 77.85/49.68 (v116(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14744, 508, 14741])).
% 77.85/49.68 tff(14746,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14747,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14748,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14747, 14746])).
% 77.85/49.68 tff(14749,plain,
% 77.85/49.68 (v115(constB113)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14748, 519, 14745])).
% 77.85/49.68 tff(14750,plain,
% 77.85/49.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14751,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14752,plain,
% 77.85/49.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14751, 14750])).
% 77.85/49.68 tff(14753,plain,
% 77.85/49.68 ($false),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14752, 530, 14749, 14737])).
% 77.85/49.68 tff(14754,plain,((~v121(constB113)) | v90(constB114, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 77.85/49.68 tff(14755,plain,
% 77.85/49.68 (v90(constB114, bitIndex0)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14754, 14642])).
% 77.85/49.68 tff(14756,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14757,plain,
% 77.85/49.68 (((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0))) <=> (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14758,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0))))),
% 77.85/49.68 inference(monotonicity,[status(thm)],[14757])).
% 77.85/49.68 tff(14759,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 77.85/49.68 inference(transitivity,[status(thm)],[14758, 14756])).
% 77.85/49.68 tff(14760,plain,
% 77.85/49.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14761,plain,
% 77.85/49.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 77.85/49.68 tff(14762,plain,
% 77.85/49.68 (v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0))),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14761, 381, 14658])).
% 77.85/49.68 tff(14763,plain,
% 77.85/49.68 (v100(constB114)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14762, 14755, 14637])).
% 77.85/49.68 tff(14764,plain,
% 77.85/49.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14765,plain,
% 77.85/49.68 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14766,plain,
% 77.85/49.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 77.85/49.68 inference(monotonicity,[status(thm)],[14765])).
% 77.85/49.68 tff(14767,plain,
% 77.85/49.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 77.85/49.68 inference(transitivity,[status(thm)],[14766, 14764])).
% 77.85/49.68 tff(14768,plain,
% 77.85/49.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 77.85/49.68 inference(quant_inst,[status(thm)],[])).
% 77.85/49.68 tff(14769,plain,
% 77.85/49.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 77.85/49.68 tff(14770,plain,
% 77.85/49.68 (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14769, 1061, 14763])).
% 77.85/49.68 tff(14771,plain,
% 77.85/49.68 (v90(constB114, bitIndex1)),
% 77.85/49.68 inference(unit_resolution,[status(thm)],[14770, 14663])).
% 77.85/49.68 tff(14772,plain,
% 77.85/49.68 ((~v1(constB115)) <=> (~v1(constB115))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14773,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 77.85/49.68 tff(14774,plain,
% 77.85/49.68 (~v1(constB115)),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14773, 14772])).
% 77.85/49.68 tff(14775,plain,
% 77.85/49.68 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14776,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 77.85/49.68 tff(14777,plain,
% 77.85/49.68 (nextState(constB114, constB115)),
% 77.85/49.68 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 77.85/49.68 tff(14778,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14779,plain,
% 77.85/49.68 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 77.85/49.68 inference(rewrite,[status(thm)],[])).
% 77.85/49.68 tff(14780,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 77.85/49.68 inference(monotonicity,[status(thm)],[14779])).
% 77.85/49.68 tff(14781,plain,
% 77.85/49.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 77.85/49.68 inference(transitivity,[status(thm)],[14780, 14778])).
% 77.85/49.68 tff(14782,plain,
% 77.85/49.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14783,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14782, 14781])).
% 77.85/49.69 tff(14784,plain,
% 77.85/49.69 (~v101(constB115)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14783, 307, 14777, 14774])).
% 77.85/49.69 tff(14785,plain,
% 77.85/49.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14786,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14787,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14786, 14785])).
% 77.85/49.69 tff(14788,plain,
% 77.85/49.69 (v101(constB115) | (~v100(constB115))),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14787, 324, 14777])).
% 77.85/49.69 tff(14789,plain,
% 77.85/49.69 (~v100(constB115)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14788, 14784])).
% 77.85/49.69 tff(14790,plain,
% 77.85/49.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14791,plain,
% 77.85/49.69 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14792,plain,
% 77.85/49.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 77.85/49.69 inference(monotonicity,[status(thm)],[14791])).
% 77.85/49.69 tff(14793,plain,
% 77.85/49.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 77.85/49.69 inference(transitivity,[status(thm)],[14792, 14790])).
% 77.85/49.69 tff(14794,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14795,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14794, 14793])).
% 77.85/49.69 tff(14796,plain,
% 77.85/49.69 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14795, 1079, 14777])).
% 77.85/49.69 tff(14797,plain,
% 77.85/49.69 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14796, 14789])).
% 77.85/49.69 tff(14798,plain,
% 77.85/49.69 (v90(constB115, bitIndex1)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14797, 14771])).
% 77.85/49.69 tff(14799,plain,
% 77.85/49.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14800,plain,
% 77.85/49.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14801,plain,
% 77.85/49.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2))),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14800, 14799])).
% 77.85/49.69 tff(14802,plain,
% 77.85/49.69 (~v130(constB113, bitIndex2)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14801, 1259, 14642])).
% 77.85/49.69 tff(14803,plain,
% 77.85/49.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14804,plain,
% 77.85/49.69 ((v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2))) <=> ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14805,plain,
% 77.85/49.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)))),
% 77.85/49.69 inference(monotonicity,[status(thm)],[14804])).
% 77.85/49.69 tff(14806,plain,
% 77.85/49.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 77.85/49.69 inference(transitivity,[status(thm)],[14805, 14803])).
% 77.85/49.69 tff(14807,plain,
% 77.85/49.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14808,plain,
% 77.85/49.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14807, 14806])).
% 77.85/49.69 tff(14809,plain,
% 77.85/49.69 ((~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14808, 430, 14650])).
% 77.85/49.69 tff(14810,plain,
% 77.85/49.69 (~v127(constB113, bitIndex2)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14809, 14802])).
% 77.85/49.69 tff(14811,plain,
% 77.85/49.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14812,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14813,plain,
% 77.85/49.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14812, 14811])).
% 77.85/49.69 tff(14814,plain,
% 77.85/49.69 (v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14813, 451, 14658])).
% 77.85/49.69 tff(14815,plain,
% 77.85/49.69 (~v129(constB114, bitIndex2)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14814, 14810])).
% 77.85/49.69 tff(14816,plain,
% 77.85/49.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14817,plain,
% 77.85/49.69 (((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14818,plain,
% 77.85/49.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))))),
% 77.85/49.69 inference(monotonicity,[status(thm)],[14817])).
% 77.85/49.69 tff(14819,plain,
% 77.85/49.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 77.85/49.69 inference(transitivity,[status(thm)],[14818, 14816])).
% 77.85/49.69 tff(14820,plain,
% 77.85/49.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))),
% 77.85/49.69 inference(quant_inst,[status(thm)],[])).
% 77.85/49.69 tff(14821,plain,
% 77.85/49.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))),
% 77.85/49.69 inference(modus_ponens,[status(thm)],[14820, 14819])).
% 77.85/49.69 tff(14822,plain,
% 77.85/49.69 ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14821, 655, 14763])).
% 77.85/49.69 tff(14823,plain,
% 77.85/49.69 (~v90(constB114, bitIndex2)),
% 77.85/49.69 inference(unit_resolution,[status(thm)],[14822, 14815])).
% 77.85/49.69 tff(14824,plain,
% 77.85/49.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 77.85/49.69 inference(rewrite,[status(thm)],[])).
% 77.85/49.69 tff(14825,plain,
% 77.85/49.69 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14826,plain,
% 77.85/49.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))))),
% 77.85/49.70 inference(monotonicity,[status(thm)],[14825])).
% 77.85/49.70 tff(14827,plain,
% 77.85/49.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 77.85/49.70 inference(transitivity,[status(thm)],[14826, 14824])).
% 77.85/49.70 tff(14828,plain,
% 77.85/49.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14829,plain,
% 77.85/49.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 77.85/49.70 tff(14830,plain,
% 77.85/49.70 (v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14829, 339, 14777])).
% 77.85/49.70 tff(14831,plain,
% 77.85/49.70 (v90(constB114, bitIndex2) | (~v90(constB115, bitIndex2))),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14830, 14789])).
% 77.85/49.70 tff(14832,plain,
% 77.85/49.70 (~v90(constB115, bitIndex2)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14831, 14823])).
% 77.85/49.70 tff(14833,plain,
% 77.85/49.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14834,plain,
% 77.85/49.70 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14835,plain,
% 77.85/49.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)))),
% 77.85/49.70 inference(monotonicity,[status(thm)],[14834])).
% 77.85/49.70 tff(14836,plain,
% 77.85/49.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 77.85/49.70 inference(transitivity,[status(thm)],[14835, 14833])).
% 77.85/49.70 tff(14837,plain,
% 77.85/49.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14838,plain,
% 77.85/49.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 77.85/49.70 tff(14839,plain,
% 77.85/49.70 ((~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14838, 836, 14777])).
% 77.85/49.70 tff(14840,plain,
% 77.85/49.70 ((~v90(constB114, bitIndex0)) | v90(constB115, bitIndex0)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14839, 14789])).
% 77.85/49.70 tff(14841,plain,
% 77.85/49.70 (v90(constB115, bitIndex0)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14840, 14755])).
% 77.85/49.70 tff(14842,plain,
% 77.85/49.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14843,plain,
% 77.85/49.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14844,plain,
% 77.85/49.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115)),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14843, 14842])).
% 77.85/49.70 tff(14845,plain,
% 77.85/49.70 ((~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14844, 1403, 14841])).
% 77.85/49.70 tff(14846,plain,
% 77.85/49.70 (v122(constB115)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14845, 14832, 14798])).
% 77.85/49.70 tff(14847,plain,
% 77.85/49.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14848,plain,
% 77.85/49.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14849,plain,
% 77.85/49.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14848, 14847])).
% 77.85/49.70 tff(14850,plain,
% 77.85/49.70 (~v130(constB115, bitIndex1)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14849, 1594, 14846])).
% 77.85/49.70 tff(14851,assumption,(v26(constB115)), introduced(assumption)).
% 77.85/49.70 tff(14852,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14853,plain,
% 77.85/49.70 ($false),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14852, 14, 14851])).
% 77.85/49.70 tff(14854,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 77.85/49.70 tff(14855,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14856,plain,
% 77.85/49.70 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14857,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 77.85/49.70 inference(monotonicity,[status(thm)],[14856])).
% 77.85/49.70 tff(14858,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 77.85/49.70 inference(transitivity,[status(thm)],[14857, 14855])).
% 77.85/49.70 tff(14859,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14860,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 77.85/49.70 tff(14861,plain,
% 77.85/49.70 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14860, 714, 14854])).
% 77.85/49.70 tff(14862,plain,
% 77.85/49.70 (~v127(constB115, bitIndex1)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14861, 14850])).
% 77.85/49.70 tff(14863,plain,
% 77.85/49.70 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14864,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 77.85/49.70 tff(14865,plain,
% 77.85/49.70 (nextState(constB115, constB116)),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14864, 14863])).
% 77.85/49.70 tff(14866,plain,
% 77.85/49.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14867,plain,
% 77.85/49.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14868,plain,
% 77.85/49.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 77.85/49.70 tff(14869,plain,
% 77.85/49.70 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14868, 732, 14865])).
% 77.85/49.70 tff(14870,plain,
% 77.85/49.70 (~v129(constB116, bitIndex1)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14869, 14862])).
% 77.85/49.70 tff(14871,assumption,(v122(constB115)), introduced(assumption)).
% 77.85/49.70 tff(14872,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14873,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14874,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 77.85/49.70 tff(14875,plain,
% 77.85/49.70 (v116(constB115)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14874, 1470, 14871])).
% 77.85/49.70 tff(14876,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14877,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14878,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 77.85/49.70 tff(14879,plain,
% 77.85/49.70 (v115(constB115)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14878, 519, 14875])).
% 77.85/49.70 tff(14880,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14881,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14882,plain,
% 77.85/49.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14881, 14880])).
% 77.85/49.70 tff(14883,plain,
% 77.85/49.70 (v114(constB115)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14882, 530, 14879])).
% 77.85/49.70 tff(14884,plain,
% 77.85/49.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14885,plain,
% 77.85/49.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 77.85/49.70 inference(quant_inst,[status(thm)],[])).
% 77.85/49.70 tff(14886,plain,
% 77.85/49.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0))),
% 77.85/49.70 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 77.85/49.70 tff(14887,plain,
% 77.85/49.70 (~v130(constB115, bitIndex0)),
% 77.85/49.70 inference(unit_resolution,[status(thm)],[14886, 1638, 14871])).
% 77.85/49.70 tff(14888,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14889,plain,
% 77.85/49.70 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 77.85/49.70 inference(rewrite,[status(thm)],[])).
% 77.85/49.70 tff(14890,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 77.85/49.70 inference(monotonicity,[status(thm)],[14889])).
% 77.85/49.70 tff(14891,plain,
% 77.85/49.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 77.85/49.71 inference(transitivity,[status(thm)],[14890, 14888])).
% 77.85/49.71 tff(14892,plain,
% 77.85/49.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 77.85/49.71 inference(quant_inst,[status(thm)],[])).
% 77.85/49.71 tff(14893,plain,
% 77.85/49.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 77.85/49.71 inference(modus_ponens,[status(thm)],[14892, 14891])).
% 77.85/49.71 tff(14894,plain,
% 77.85/49.71 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 77.85/49.71 inference(unit_resolution,[status(thm)],[14893, 1112, 14854])).
% 77.85/49.71 tff(14895,plain,
% 77.85/49.71 (~v127(constB115, bitIndex0)),
% 77.85/49.71 inference(unit_resolution,[status(thm)],[14894, 14887])).
% 77.85/49.71 tff(14896,plain,
% 77.85/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 77.85/49.71 inference(rewrite,[status(thm)],[])).
% 77.85/49.71 tff(14897,plain,
% 77.85/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 77.85/49.71 inference(quant_inst,[status(thm)],[])).
% 77.85/49.71 tff(14898,plain,
% 77.85/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 77.85/49.71 inference(modus_ponens,[status(thm)],[14897, 14896])).
% 77.85/49.71 tff(14899,plain,
% 77.85/49.71 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 77.85/49.71 inference(unit_resolution,[status(thm)],[14898, 1130, 14865])).
% 77.85/49.71 tff(14900,plain,
% 77.85/49.71 (~v129(constB116, bitIndex0)),
% 77.85/49.71 inference(unit_resolution,[status(thm)],[14899, 14895])).
% 77.85/49.71 tff(14901,assumption,(v90(constB116, bitIndex0)), introduced(assumption)).
% 77.85/49.71 tff(14902,plain,
% 77.85/49.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 77.85/49.71 inference(rewrite,[status(thm)],[])).
% 77.85/49.71 tff(14903,plain,
% 77.85/49.71 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 77.85/49.71 inference(rewrite,[status(thm)],[])).
% 77.85/49.71 tff(14904,plain,
% 77.85/49.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))))),
% 77.85/49.71 inference(monotonicity,[status(thm)],[14903])).
% 77.85/49.71 tff(14905,plain,
% 77.85/49.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 77.85/49.71 inference(transitivity,[status(thm)],[14904, 14902])).
% 77.88/49.71 tff(14906,plain,
% 77.88/49.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14907,plain,
% 77.88/49.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 77.88/49.71 tff(14908,plain,
% 77.88/49.71 (v129(constB116, bitIndex0) | (~v100(constB116))),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14907, 1145, 14901])).
% 77.88/49.71 tff(14909,plain,
% 77.88/49.71 (~v100(constB116)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14908, 14900])).
% 77.88/49.71 tff(14910,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14911,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14912,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14911, 14910])).
% 77.88/49.71 tff(14913,plain,
% 77.88/49.71 (~v104(constB116)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14912, 589, 14865, 14774])).
% 77.88/49.71 tff(14914,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14915,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14916,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 77.88/49.71 tff(14917,plain,
% 77.88/49.71 (v102(constB116) | v104(constB116)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14916, 603, 14865])).
% 77.88/49.71 tff(14918,plain,
% 77.88/49.71 (v102(constB116)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14917, 14913])).
% 77.88/49.71 tff(14919,plain,
% 77.88/49.71 (v1(constB116) <=> v1(constB116)),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14920,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 77.88/49.71 tff(14921,plain,
% 77.88/49.71 (v1(constB116)),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 77.88/49.71 tff(14922,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14923,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14924,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14923, 14922])).
% 77.88/49.71 tff(14925,plain,
% 77.88/49.71 (v101(constB116) | (~v102(constB116))),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14924, 621, 14865, 14921])).
% 77.88/49.71 tff(14926,plain,
% 77.88/49.71 (v101(constB116)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14925, 14918])).
% 77.88/49.71 tff(14927,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14928,plain,
% 77.88/49.71 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14929,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 77.88/49.71 inference(monotonicity,[status(thm)],[14928])).
% 77.88/49.71 tff(14930,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 77.88/49.71 inference(transitivity,[status(thm)],[14929, 14927])).
% 77.88/49.71 tff(14931,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14932,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14931, 14930])).
% 77.88/49.71 tff(14933,plain,
% 77.88/49.71 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14932, 636, 14865])).
% 77.88/49.71 tff(14934,plain,
% 77.88/49.71 (v100(constB116) | (~v110(constB116))),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14933, 14926])).
% 77.88/49.71 tff(14935,plain,
% 77.88/49.71 (~v110(constB116)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14934, 14909])).
% 77.88/49.71 tff(14936,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14937,plain,
% 77.88/49.71 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14938,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 77.88/49.71 inference(monotonicity,[status(thm)],[14937])).
% 77.88/49.71 tff(14939,plain,
% 77.88/49.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 77.88/49.71 inference(transitivity,[status(thm)],[14938, 14936])).
% 77.88/49.71 tff(14940,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14941,plain,
% 77.88/49.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14940, 14939])).
% 77.88/49.71 tff(14942,plain,
% 77.88/49.71 (v110(constB116) | (~v108(constB115))),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14941, 571, 14865])).
% 77.88/49.71 tff(14943,plain,
% 77.88/49.71 (~v108(constB115)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14942, 14935])).
% 77.88/49.71 tff(14944,plain,
% 77.88/49.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14945,plain,
% 77.88/49.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14946,plain,
% 77.88/49.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 77.88/49.71 tff(14947,plain,
% 77.88/49.71 (~v112(constB115)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14946, 464, 14943])).
% 77.88/49.71 tff(14948,plain,
% 77.88/49.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14949,plain,
% 77.88/49.71 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 77.88/49.71 inference(rewrite,[status(thm)],[])).
% 77.88/49.71 tff(14950,plain,
% 77.88/49.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115))))),
% 77.88/49.71 inference(monotonicity,[status(thm)],[14949])).
% 77.88/49.71 tff(14951,plain,
% 77.88/49.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 77.88/49.71 inference(transitivity,[status(thm)],[14950, 14948])).
% 77.88/49.71 tff(14952,plain,
% 77.88/49.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 77.88/49.71 inference(quant_inst,[status(thm)],[])).
% 77.88/49.71 tff(14953,plain,
% 77.88/49.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 77.88/49.71 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 77.88/49.71 tff(14954,plain,
% 77.88/49.71 (v112(constB115) | (~v113(constB115))),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14953, 555, 14854])).
% 77.88/49.71 tff(14955,plain,
% 77.88/49.71 (~v113(constB115)),
% 77.88/49.71 inference(unit_resolution,[status(thm)],[14954, 14947])).
% 77.88/49.71 tff(14956,plain,
% 77.88/49.71 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14957,plain,
% 77.88/49.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(14958,plain,
% 77.88/49.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115))),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 77.88/49.72 tff(14959,plain,
% 77.88/49.72 ($false),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14958, 541, 14955, 14883])).
% 77.88/49.72 tff(14960,plain,((~v122(constB115)) | (~v90(constB116, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.88/49.72 tff(14961,plain,
% 77.88/49.72 (~v90(constB116, bitIndex0)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14960, 14846])).
% 77.88/49.72 tff(14962,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14963,plain,
% 77.88/49.72 (((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0)) <=> ((~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14964,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0)))),
% 77.88/49.72 inference(monotonicity,[status(thm)],[14963])).
% 77.88/49.72 tff(14965,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))),
% 77.88/49.72 inference(transitivity,[status(thm)],[14964, 14962])).
% 77.88/49.72 tff(14966,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(14967,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0)),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 77.88/49.72 tff(14968,plain,
% 77.88/49.72 ((~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14967, 836, 14865])).
% 77.88/49.72 tff(14969,plain,
% 77.88/49.72 (v100(constB116)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14968, 14961, 14841])).
% 77.88/49.72 tff(14970,plain,
% 77.88/49.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14971,plain,
% 77.88/49.72 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14972,plain,
% 77.88/49.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 77.88/49.72 inference(monotonicity,[status(thm)],[14971])).
% 77.88/49.72 tff(14973,plain,
% 77.88/49.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 77.88/49.72 inference(transitivity,[status(thm)],[14972, 14970])).
% 77.88/49.72 tff(14974,plain,
% 77.88/49.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(14975,plain,
% 77.88/49.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 77.88/49.72 tff(14976,plain,
% 77.88/49.72 ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14975, 747, 14969])).
% 77.88/49.72 tff(14977,plain,
% 77.88/49.72 (~v90(constB116, bitIndex1)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14976, 14870])).
% 77.88/49.72 tff(14978,plain,
% 77.88/49.72 ((~v1(constB117)) <=> (~v1(constB117))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14979,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 77.88/49.72 tff(14980,plain,
% 77.88/49.72 (~v1(constB117)),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14979, 14978])).
% 77.88/49.72 tff(14981,plain,
% 77.88/49.72 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14982,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 77.88/49.72 tff(14983,plain,
% 77.88/49.72 (nextState(constB116, constB117)),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 77.88/49.72 tff(14984,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14985,plain,
% 77.88/49.72 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14986,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 77.88/49.72 inference(monotonicity,[status(thm)],[14985])).
% 77.88/49.72 tff(14987,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 77.88/49.72 inference(transitivity,[status(thm)],[14986, 14984])).
% 77.88/49.72 tff(14988,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(14989,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14988, 14987])).
% 77.88/49.72 tff(14990,plain,
% 77.88/49.72 (~v101(constB117)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14989, 307, 14983, 14980])).
% 77.88/49.72 tff(14991,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14992,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(14993,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[14992, 14991])).
% 77.88/49.72 tff(14994,plain,
% 77.88/49.72 (v101(constB117) | (~v100(constB117))),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14993, 324, 14983])).
% 77.88/49.72 tff(14995,plain,
% 77.88/49.72 (~v100(constB117)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[14994, 14990])).
% 77.88/49.72 tff(14996,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14997,plain,
% 77.88/49.72 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(14998,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 77.88/49.72 inference(monotonicity,[status(thm)],[14997])).
% 77.88/49.72 tff(14999,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 77.88/49.72 inference(transitivity,[status(thm)],[14998, 14996])).
% 77.88/49.72 tff(15000,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(15001,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 77.88/49.72 tff(15002,plain,
% 77.88/49.72 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[15001, 360, 14983])).
% 77.88/49.72 tff(15003,plain,
% 77.88/49.72 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[15002, 14995])).
% 77.88/49.72 tff(15004,plain,
% 77.88/49.72 (~v90(constB117, bitIndex1)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[15003, 14977])).
% 77.88/49.72 tff(15005,plain,
% 77.88/49.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(15006,plain,
% 77.88/49.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(15007,plain,
% 77.88/49.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2)),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 77.88/49.72 tff(15008,plain,
% 77.88/49.72 (v130(constB115, bitIndex2)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[15007, 1417, 14846])).
% 77.88/49.72 tff(15009,plain,
% 77.88/49.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(15010,plain,
% 77.88/49.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(15011,plain,
% 77.88/49.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 77.88/49.72 tff(15012,plain,
% 77.88/49.72 ((~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[15011, 1431, 14854])).
% 77.88/49.72 tff(15013,plain,
% 77.88/49.72 (v127(constB115, bitIndex2)),
% 77.88/49.72 inference(unit_resolution,[status(thm)],[15012, 15008])).
% 77.88/49.72 tff(15014,plain,
% 77.88/49.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 77.88/49.72 inference(rewrite,[status(thm)],[])).
% 77.88/49.72 tff(15015,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 77.88/49.72 inference(quant_inst,[status(thm)],[])).
% 77.88/49.72 tff(15016,plain,
% 77.88/49.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 77.88/49.72 inference(modus_ponens,[status(thm)],[15015, 15014])).
% 77.88/49.72 tff(15017,plain,
% 77.90/49.73 ((~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15016, 1449, 14865])).
% 77.90/49.73 tff(15018,plain,
% 77.90/49.73 (v129(constB116, bitIndex2)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15017, 15013])).
% 77.90/49.73 tff(15019,plain,
% 77.90/49.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15020,plain,
% 77.90/49.73 ((v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15021,plain,
% 77.90/49.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))))),
% 77.90/49.73 inference(monotonicity,[status(thm)],[15020])).
% 77.90/49.73 tff(15022,plain,
% 77.90/49.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 77.90/49.73 inference(transitivity,[status(thm)],[15021, 15019])).
% 77.90/49.73 tff(15023,plain,
% 77.90/49.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15024,plain,
% 77.90/49.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15023, 15022])).
% 77.90/49.73 tff(15025,plain,
% 77.90/49.73 (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2))),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15024, 1539, 14969])).
% 77.90/49.73 tff(15026,plain,
% 77.90/49.73 (v90(constB116, bitIndex2)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15025, 15018])).
% 77.90/49.73 tff(15027,plain,
% 77.90/49.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15028,plain,
% 77.90/49.73 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15029,plain,
% 77.90/49.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)))),
% 77.90/49.73 inference(monotonicity,[status(thm)],[15028])).
% 77.90/49.73 tff(15030,plain,
% 77.90/49.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 77.90/49.73 inference(transitivity,[status(thm)],[15029, 15027])).
% 77.90/49.73 tff(15031,plain,
% 77.90/49.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15032,plain,
% 77.90/49.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15031, 15030])).
% 77.90/49.73 tff(15033,plain,
% 77.90/49.73 ((~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15032, 1575, 14983])).
% 77.90/49.73 tff(15034,plain,
% 77.90/49.73 ((~v90(constB116, bitIndex2)) | v90(constB117, bitIndex2)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15033, 14995])).
% 77.90/49.73 tff(15035,plain,
% 77.90/49.73 (v90(constB117, bitIndex2)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15034, 15026])).
% 77.90/49.73 tff(15036,plain,
% 77.90/49.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15037,plain,
% 77.90/49.73 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15038,plain,
% 77.90/49.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))))),
% 77.90/49.73 inference(monotonicity,[status(thm)],[15037])).
% 77.90/49.73 tff(15039,plain,
% 77.90/49.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 77.90/49.73 inference(transitivity,[status(thm)],[15038, 15036])).
% 77.90/49.73 tff(15040,plain,
% 77.90/49.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15041,plain,
% 77.90/49.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15040, 15039])).
% 77.90/49.73 tff(15042,plain,
% 77.90/49.73 (v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15041, 381, 14983])).
% 77.90/49.73 tff(15043,plain,
% 77.90/49.73 (v90(constB116, bitIndex0) | (~v90(constB117, bitIndex0))),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15042, 14995])).
% 77.90/49.73 tff(15044,plain,
% 77.90/49.73 (~v90(constB117, bitIndex0)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15043, 14961])).
% 77.90/49.73 tff(15045,plain,
% 77.90/49.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15046,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15047,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15046, 15045])).
% 77.90/49.73 tff(15048,plain,
% 77.90/49.73 (v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15047, 1682, 15044])).
% 77.90/49.73 tff(15049,plain,
% 77.90/49.73 (v123(constB117)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15048, 15035, 15004])).
% 77.90/49.73 tff(15050,plain,
% 77.90/49.73 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15051,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15052,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117))),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15051, 15050])).
% 77.90/49.73 tff(15053,plain,
% 77.90/49.73 (v115(constB117)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15052, 1693, 15049])).
% 77.90/49.73 tff(15054,plain,
% 77.90/49.73 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15055,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15056,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117))),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 77.90/49.73 tff(15057,plain,
% 77.90/49.73 (v114(constB117)),
% 77.90/49.73 inference(unit_resolution,[status(thm)],[15056, 530, 15053])).
% 77.90/49.73 tff(15058,plain,
% 77.90/49.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117)))),
% 77.90/49.73 inference(rewrite,[status(thm)],[])).
% 77.90/49.73 tff(15059,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))),
% 77.90/49.73 inference(quant_inst,[status(thm)],[])).
% 77.90/49.73 tff(15060,plain,
% 77.90/49.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117))),
% 77.90/49.73 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 77.90/49.73 tff(15061,plain,
% 77.90/49.74 (v113(constB117)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15060, 541, 15057])).
% 77.90/49.74 tff(15062,assumption,(v26(constB117)), introduced(assumption)).
% 77.90/49.74 tff(15063,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15064,plain,
% 77.90/49.74 ($false),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15063, 14, 15062])).
% 77.90/49.74 tff(15065,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 77.90/49.74 tff(15066,plain,
% 77.90/49.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15067,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15068,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117)),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15067, 15066])).
% 77.90/49.74 tff(15069,plain,
% 77.90/49.74 ((~v113(constB117)) | v112(constB117)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15068, 555, 15065])).
% 77.90/49.74 tff(15070,plain,
% 77.90/49.74 (v112(constB117)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15069, 15061])).
% 77.90/49.74 tff(15071,plain,
% 77.90/49.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15072,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15073,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 77.90/49.74 tff(15074,plain,
% 77.90/49.74 (v108(constB117)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15073, 464, 15070])).
% 77.90/49.74 tff(15075,plain,
% 77.90/49.74 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15076,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 77.90/49.74 tff(15077,plain,
% 77.90/49.74 (nextState(constB117, constB118)),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 77.90/49.74 tff(15078,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15079,plain,
% 77.90/49.74 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15080,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 77.90/49.74 inference(monotonicity,[status(thm)],[15079])).
% 77.90/49.74 tff(15081,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 77.90/49.74 inference(transitivity,[status(thm)],[15080, 15078])).
% 77.90/49.74 tff(15082,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15083,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15082, 15081])).
% 77.90/49.74 tff(15084,plain,
% 77.90/49.74 (v110(constB118) | (~v108(constB117))),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15083, 571, 15077])).
% 77.90/49.74 tff(15085,plain,
% 77.90/49.74 (v110(constB118)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15084, 15074])).
% 77.90/49.74 tff(15086,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15087,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15088,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15087, 15086])).
% 77.90/49.74 tff(15089,plain,
% 77.90/49.74 (~v104(constB118)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15088, 589, 15077, 14980])).
% 77.90/49.74 tff(15090,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15091,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15092,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15091, 15090])).
% 77.90/49.74 tff(15093,plain,
% 77.90/49.74 (v102(constB118) | v104(constB118)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15092, 603, 15077])).
% 77.90/49.74 tff(15094,plain,
% 77.90/49.74 (v102(constB118)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15093, 15089])).
% 77.90/49.74 tff(15095,plain,
% 77.90/49.74 (v1(constB118) <=> v1(constB118)),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15096,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 77.90/49.74 tff(15097,plain,
% 77.90/49.74 (v1(constB118)),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15096, 15095])).
% 77.90/49.74 tff(15098,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15099,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15100,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 77.90/49.74 tff(15101,plain,
% 77.90/49.74 (v101(constB118) | (~v102(constB118))),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15100, 621, 15077, 15097])).
% 77.90/49.74 tff(15102,plain,
% 77.90/49.74 (v101(constB118)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15101, 15094])).
% 77.90/49.74 tff(15103,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15104,plain,
% 77.90/49.74 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15105,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 77.90/49.74 inference(monotonicity,[status(thm)],[15104])).
% 77.90/49.74 tff(15106,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 77.90/49.74 inference(transitivity,[status(thm)],[15105, 15103])).
% 77.90/49.74 tff(15107,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15108,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 77.90/49.74 tff(15109,plain,
% 77.90/49.74 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15108, 636, 15077])).
% 77.90/49.74 tff(15110,plain,
% 77.90/49.74 (v100(constB118) | (~v110(constB118))),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15109, 15102])).
% 77.90/49.74 tff(15111,plain,
% 77.90/49.74 (v100(constB118)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15110, 15085])).
% 77.90/49.74 tff(15112,plain,
% 77.90/49.74 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15113,plain,
% 77.90/49.74 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15114,plain,
% 77.90/49.74 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 77.90/49.74 tff(15115,plain,
% 77.90/49.74 (~v130(constB117, bitIndex1)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15114, 1765, 15049])).
% 77.90/49.74 tff(15116,plain,
% 77.90/49.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15117,plain,
% 77.90/49.74 ((v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1))) <=> ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15118,plain,
% 77.90/49.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)))),
% 77.90/49.74 inference(monotonicity,[status(thm)],[15117])).
% 77.90/49.74 tff(15119,plain,
% 77.90/49.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 77.90/49.74 inference(transitivity,[status(thm)],[15118, 15116])).
% 77.90/49.74 tff(15120,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15121,plain,
% 77.90/49.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 77.90/49.74 tff(15122,plain,
% 77.90/49.74 ((~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15121, 714, 15065])).
% 77.90/49.74 tff(15123,plain,
% 77.90/49.74 (~v127(constB117, bitIndex1)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15122, 15115])).
% 77.90/49.74 tff(15124,plain,
% 77.90/49.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15125,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 77.90/49.74 inference(quant_inst,[status(thm)],[])).
% 77.90/49.74 tff(15126,plain,
% 77.90/49.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 77.90/49.74 inference(modus_ponens,[status(thm)],[15125, 15124])).
% 77.90/49.74 tff(15127,plain,
% 77.90/49.74 (v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15126, 732, 15077])).
% 77.90/49.74 tff(15128,plain,
% 77.90/49.74 (~v129(constB118, bitIndex1)),
% 77.90/49.74 inference(unit_resolution,[status(thm)],[15127, 15123])).
% 77.90/49.74 tff(15129,plain,
% 77.90/49.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 77.90/49.74 inference(rewrite,[status(thm)],[])).
% 77.90/49.74 tff(15130,plain,
% 77.90/49.74 (((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15131,plain,
% 77.90/49.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))))),
% 77.90/49.75 inference(monotonicity,[status(thm)],[15130])).
% 77.90/49.75 tff(15132,plain,
% 77.90/49.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 77.90/49.75 inference(transitivity,[status(thm)],[15131, 15129])).
% 77.90/49.75 tff(15133,plain,
% 77.90/49.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15134,plain,
% 77.90/49.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 77.90/49.75 tff(15135,plain,
% 77.90/49.75 ((~v90(constB118, bitIndex1)) | (~v100(constB118))),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15134, 747, 15128])).
% 77.90/49.75 tff(15136,plain,
% 77.90/49.75 (~v90(constB118, bitIndex1)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15135, 15111])).
% 77.90/49.75 tff(15137,plain,
% 77.90/49.75 ((~v1(constB119)) <=> (~v1(constB119))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15138,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 77.90/49.75 tff(15139,plain,
% 77.90/49.75 (~v1(constB119)),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15138, 15137])).
% 77.90/49.75 tff(15140,plain,
% 77.90/49.75 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15141,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 77.90/49.75 tff(15142,plain,
% 77.90/49.75 (nextState(constB118, constB119)),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 77.90/49.75 tff(15143,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15144,plain,
% 77.90/49.75 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15145,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 77.90/49.75 inference(monotonicity,[status(thm)],[15144])).
% 77.90/49.75 tff(15146,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 77.90/49.75 inference(transitivity,[status(thm)],[15145, 15143])).
% 77.90/49.75 tff(15147,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15148,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 77.90/49.75 tff(15149,plain,
% 77.90/49.75 (~v101(constB119)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15148, 307, 15142, 15139])).
% 77.90/49.75 tff(15150,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15151,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15152,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 77.90/49.75 tff(15153,plain,
% 77.90/49.75 (v101(constB119) | (~v100(constB119))),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15152, 324, 15142])).
% 77.90/49.75 tff(15154,plain,
% 77.90/49.75 (~v100(constB119)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15153, 15149])).
% 77.90/49.75 tff(15155,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15156,plain,
% 77.90/49.75 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15157,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))))),
% 77.90/49.75 inference(monotonicity,[status(thm)],[15156])).
% 77.90/49.75 tff(15158,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 77.90/49.75 inference(transitivity,[status(thm)],[15157, 15155])).
% 77.90/49.75 tff(15159,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15160,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 77.90/49.75 tff(15161,plain,
% 77.90/49.75 (v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15160, 360, 15142])).
% 77.90/49.75 tff(15162,plain,
% 77.90/49.75 (v90(constB118, bitIndex1) | (~v90(constB119, bitIndex1))),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15161, 15154])).
% 77.90/49.75 tff(15163,plain,
% 77.90/49.75 (~v90(constB119, bitIndex1)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15162, 15136])).
% 77.90/49.75 tff(15164,plain,
% 77.90/49.75 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15165,plain,
% 77.90/49.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15166,plain,
% 77.90/49.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2)),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15165, 15164])).
% 77.90/49.75 tff(15167,plain,
% 77.90/49.75 (v130(constB117, bitIndex2)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15166, 1877, 15049])).
% 77.90/49.75 tff(15168,plain,
% 77.90/49.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15169,plain,
% 77.90/49.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15170,plain,
% 77.90/49.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 77.90/49.75 tff(15171,plain,
% 77.90/49.75 ((~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15170, 1431, 15065])).
% 77.90/49.75 tff(15172,plain,
% 77.90/49.75 (v127(constB117, bitIndex2)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15171, 15167])).
% 77.90/49.75 tff(15173,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15174,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15175,plain,
% 77.90/49.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15174, 15173])).
% 77.90/49.75 tff(15176,plain,
% 77.90/49.75 ((~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15175, 1449, 15077])).
% 77.90/49.75 tff(15177,plain,
% 77.90/49.75 (v129(constB118, bitIndex2)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15176, 15172])).
% 77.90/49.75 tff(15178,plain,
% 77.90/49.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15179,plain,
% 77.90/49.75 ((v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15180,plain,
% 77.90/49.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))))),
% 77.90/49.75 inference(monotonicity,[status(thm)],[15179])).
% 77.90/49.75 tff(15181,plain,
% 77.90/49.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 77.90/49.75 inference(transitivity,[status(thm)],[15180, 15178])).
% 77.90/49.75 tff(15182,plain,
% 77.90/49.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))),
% 77.90/49.75 inference(quant_inst,[status(thm)],[])).
% 77.90/49.75 tff(15183,plain,
% 77.90/49.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))),
% 77.90/49.75 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 77.90/49.75 tff(15184,plain,
% 77.90/49.75 (v90(constB118, bitIndex2) | (~v100(constB118))),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15183, 1539, 15177])).
% 77.90/49.75 tff(15185,plain,
% 77.90/49.75 (v90(constB118, bitIndex2)),
% 77.90/49.75 inference(unit_resolution,[status(thm)],[15184, 15111])).
% 77.90/49.75 tff(15186,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15187,plain,
% 77.90/49.75 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 77.90/49.75 inference(rewrite,[status(thm)],[])).
% 77.90/49.75 tff(15188,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)))),
% 77.90/49.75 inference(monotonicity,[status(thm)],[15187])).
% 77.90/49.75 tff(15189,plain,
% 77.90/49.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 77.90/49.76 inference(transitivity,[status(thm)],[15188, 15186])).
% 77.90/49.76 tff(15190,plain,
% 77.90/49.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15191,plain,
% 77.90/49.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 77.90/49.76 tff(15192,plain,
% 77.90/49.76 ((~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15191, 1575, 15142])).
% 77.90/49.76 tff(15193,plain,
% 77.90/49.76 ((~v90(constB118, bitIndex2)) | v90(constB119, bitIndex2)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15192, 15154])).
% 77.90/49.76 tff(15194,plain,
% 77.90/49.76 (v90(constB119, bitIndex2)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15193, 15185])).
% 77.90/49.76 tff(15195,plain,
% 77.90/49.76 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15196,plain,
% 77.90/49.76 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15197,plain,
% 77.90/49.76 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 77.90/49.76 tff(15198,plain,
% 77.90/49.76 (v130(constB117, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15197, 1836, 15049])).
% 77.90/49.76 tff(15199,plain,
% 77.90/49.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15200,plain,
% 77.90/49.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15201,plain,
% 77.90/49.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 77.90/49.76 tff(15202,plain,
% 77.90/49.76 ((~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15201, 788, 15065])).
% 77.90/49.76 tff(15203,plain,
% 77.90/49.76 (v127(constB117, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15202, 15198])).
% 77.90/49.76 tff(15204,plain,
% 77.90/49.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15205,plain,
% 77.90/49.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15206,plain,
% 77.90/49.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 77.90/49.76 tff(15207,plain,
% 77.90/49.76 ((~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15206, 803, 15077])).
% 77.90/49.76 tff(15208,plain,
% 77.90/49.76 (v129(constB118, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15207, 15203])).
% 77.90/49.76 tff(15209,plain,
% 77.90/49.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15210,plain,
% 77.90/49.76 ((v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15211,plain,
% 77.90/49.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))))),
% 77.90/49.76 inference(monotonicity,[status(thm)],[15210])).
% 77.90/49.76 tff(15212,plain,
% 77.90/49.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 77.90/49.76 inference(transitivity,[status(thm)],[15211, 15209])).
% 77.90/49.76 tff(15213,plain,
% 77.90/49.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15214,plain,
% 77.90/49.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15213, 15212])).
% 77.90/49.76 tff(15215,plain,
% 77.90/49.76 (v90(constB118, bitIndex0) | (~v100(constB118))),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15214, 818, 15208])).
% 77.90/49.76 tff(15216,plain,
% 77.90/49.76 (v90(constB118, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15215, 15111])).
% 77.90/49.76 tff(15217,plain,
% 77.90/49.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15218,plain,
% 77.90/49.76 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15219,plain,
% 77.90/49.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)))),
% 77.90/49.76 inference(monotonicity,[status(thm)],[15218])).
% 77.90/49.76 tff(15220,plain,
% 77.90/49.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 77.90/49.76 inference(transitivity,[status(thm)],[15219, 15217])).
% 77.90/49.76 tff(15221,plain,
% 77.90/49.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15222,plain,
% 77.90/49.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 77.90/49.76 tff(15223,plain,
% 77.90/49.76 ((~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15222, 836, 15142])).
% 77.90/49.76 tff(15224,plain,
% 77.90/49.76 ((~v90(constB118, bitIndex0)) | v90(constB119, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15223, 15154])).
% 77.90/49.76 tff(15225,plain,
% 77.90/49.76 (v90(constB119, bitIndex0)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15224, 15216])).
% 77.90/49.76 tff(15226,plain,
% 77.90/49.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15227,plain,
% 77.90/49.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15228,plain,
% 77.90/49.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15227, 15226])).
% 77.90/49.76 tff(15229,plain,
% 77.90/49.76 (v124(constB119)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15228, 1919, 15225, 15163, 15194])).
% 77.90/49.76 tff(15230,plain,
% 77.90/49.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1))),
% 77.90/49.76 inference(rewrite,[status(thm)],[])).
% 77.90/49.76 tff(15231,plain,
% 77.90/49.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))),
% 77.90/49.76 inference(quant_inst,[status(thm)],[])).
% 77.90/49.76 tff(15232,plain,
% 77.90/49.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1)),
% 77.90/49.76 inference(modus_ponens,[status(thm)],[15231, 15230])).
% 77.90/49.76 tff(15233,plain,
% 77.90/49.76 (v130(constB119, bitIndex1)),
% 77.90/49.76 inference(unit_resolution,[status(thm)],[15232, 1936, 15229])).
% 77.90/49.76 tff(15234,plain,
% 77.90/49.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119)))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15235,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))),
% 77.90/49.77 inference(quant_inst,[status(thm)],[])).
% 77.90/49.77 tff(15236,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119))),
% 77.90/49.77 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 77.90/49.77 tff(15237,plain,
% 77.90/49.77 (v114(constB119)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15236, 1951, 15229])).
% 77.90/49.77 tff(15238,plain,
% 77.90/49.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119)))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15239,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))),
% 77.90/49.77 inference(quant_inst,[status(thm)],[])).
% 77.90/49.77 tff(15240,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119))),
% 77.90/49.77 inference(modus_ponens,[status(thm)],[15239, 15238])).
% 77.90/49.77 tff(15241,plain,
% 77.90/49.77 (v113(constB119)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15240, 541, 15237])).
% 77.90/49.77 tff(15242,assumption,(v26(constB119)), introduced(assumption)).
% 77.90/49.77 tff(15243,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 77.90/49.77 inference(quant_inst,[status(thm)],[])).
% 77.90/49.77 tff(15244,plain,
% 77.90/49.77 ($false),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15243, 14, 15242])).
% 77.90/49.77 tff(15245,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 77.90/49.77 tff(15246,assumption,(~v26(constB119)), introduced(assumption)).
% 77.90/49.77 tff(15247,assumption,(v113(constB119)), introduced(assumption)).
% 77.90/49.77 tff(15248,plain,
% 77.90/49.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | v112(constB119) | (~v113(constB119)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | v112(constB119) | (~v113(constB119)))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15249,plain,
% 77.90/49.77 ((v26(constB119) | (~v113(constB119)) | v112(constB119)) <=> (v26(constB119) | v112(constB119) | (~v113(constB119)))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15250,plain,
% 77.90/49.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | v112(constB119) | (~v113(constB119))))),
% 77.90/49.77 inference(monotonicity,[status(thm)],[15249])).
% 77.90/49.77 tff(15251,plain,
% 77.90/49.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | v112(constB119) | (~v113(constB119)))),
% 77.90/49.77 inference(transitivity,[status(thm)],[15250, 15248])).
% 77.90/49.77 tff(15252,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 77.90/49.77 inference(quant_inst,[status(thm)],[])).
% 77.90/49.77 tff(15253,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | v112(constB119) | (~v113(constB119))),
% 77.90/49.77 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 77.90/49.77 tff(15254,plain,
% 77.90/49.77 (v26(constB119) | v112(constB119)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15253, 555, 15247])).
% 77.90/49.77 tff(15255,plain,
% 77.90/49.77 (v112(constB119)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15254, 15246])).
% 77.90/49.77 tff(15256,assumption,(v130(constB119, bitIndex1)), introduced(assumption)).
% 77.90/49.77 tff(15257,plain,
% 77.90/49.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15258,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 77.90/49.77 inference(quant_inst,[status(thm)],[])).
% 77.90/49.77 tff(15259,plain,
% 77.90/49.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 77.90/49.77 inference(modus_ponens,[status(thm)],[15258, 15257])).
% 77.90/49.77 tff(15260,plain,
% 77.90/49.77 (v26(constB119) | v127(constB119, bitIndex1)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15259, 1031, 15256])).
% 77.90/49.77 tff(15261,plain,
% 77.90/49.77 (v127(constB119, bitIndex1)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15260, 15246])).
% 77.90/49.77 tff(15262,plain,
% 77.90/49.77 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15263,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 77.90/49.77 tff(15264,plain,
% 77.90/49.77 (nextState(constB119, constB120)),
% 77.90/49.77 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 77.90/49.77 tff(15265,plain,
% 77.90/49.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15266,plain,
% 77.90/49.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 77.90/49.77 inference(quant_inst,[status(thm)],[])).
% 77.90/49.77 tff(15267,plain,
% 77.90/49.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 77.90/49.77 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 77.90/49.77 tff(15268,plain,
% 77.90/49.77 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15267, 1046, 15264])).
% 77.90/49.77 tff(15269,plain,
% 77.90/49.77 (v129(constB120, bitIndex1)),
% 77.90/49.77 inference(unit_resolution,[status(thm)],[15268, 15261])).
% 77.90/49.77 tff(15270,assumption,(~v90(constB120, bitIndex1)), introduced(assumption)).
% 77.90/49.77 tff(15271,plain,
% 77.90/49.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15272,plain,
% 77.90/49.77 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 77.90/49.77 inference(rewrite,[status(thm)],[])).
% 77.90/49.77 tff(15273,plain,
% 77.90/49.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 77.90/49.77 inference(monotonicity,[status(thm)],[15272])).
% 77.90/49.77 tff(15274,plain,
% 77.90/49.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 77.90/49.78 inference(transitivity,[status(thm)],[15273, 15271])).
% 77.90/49.78 tff(15275,plain,
% 77.90/49.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15276,plain,
% 77.90/49.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15275, 15274])).
% 77.90/49.78 tff(15277,plain,
% 77.90/49.78 ((~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15276, 1061, 15270])).
% 77.90/49.78 tff(15278,plain,
% 77.90/49.78 (~v100(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15277, 15269])).
% 77.90/49.78 tff(15279,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15280,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15281,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 77.90/49.78 tff(15282,plain,
% 77.90/49.78 (~v104(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15281, 589, 15264, 15139])).
% 77.90/49.78 tff(15283,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15284,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15285,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 77.90/49.78 tff(15286,plain,
% 77.90/49.78 (v102(constB120) | v104(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15285, 603, 15264])).
% 77.90/49.78 tff(15287,plain,
% 77.90/49.78 (v102(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15286, 15282])).
% 77.90/49.78 tff(15288,plain,
% 77.90/49.78 (v1(constB120) <=> v1(constB120)),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15289,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 77.90/49.78 tff(15290,plain,
% 77.90/49.78 (v1(constB120)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15289, 15288])).
% 77.90/49.78 tff(15291,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15292,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15293,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 77.90/49.78 tff(15294,plain,
% 77.90/49.78 (v101(constB120) | (~v102(constB120))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15293, 621, 15264, 15290])).
% 77.90/49.78 tff(15295,plain,
% 77.90/49.78 (v101(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15294, 15287])).
% 77.90/49.78 tff(15296,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15297,plain,
% 77.90/49.78 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15298,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 77.90/49.78 inference(monotonicity,[status(thm)],[15297])).
% 77.90/49.78 tff(15299,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 77.90/49.78 inference(transitivity,[status(thm)],[15298, 15296])).
% 77.90/49.78 tff(15300,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15301,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 77.90/49.78 tff(15302,plain,
% 77.90/49.78 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15301, 636, 15264])).
% 77.90/49.78 tff(15303,plain,
% 77.90/49.78 (v100(constB120) | (~v110(constB120))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15302, 15295])).
% 77.90/49.78 tff(15304,plain,
% 77.90/49.78 (~v110(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15303, 15278])).
% 77.90/49.78 tff(15305,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15306,plain,
% 77.90/49.78 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15307,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 77.90/49.78 inference(monotonicity,[status(thm)],[15306])).
% 77.90/49.78 tff(15308,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 77.90/49.78 inference(transitivity,[status(thm)],[15307, 15305])).
% 77.90/49.78 tff(15309,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15310,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 77.90/49.78 tff(15311,plain,
% 77.90/49.78 (v110(constB120) | (~v108(constB119))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15310, 571, 15264])).
% 77.90/49.78 tff(15312,plain,
% 77.90/49.78 (~v108(constB119)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15311, 15304])).
% 77.90/49.78 tff(15313,plain,
% 77.90/49.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15314,plain,
% 77.90/49.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15315,plain,
% 77.90/49.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15314, 15313])).
% 77.90/49.78 tff(15316,plain,
% 77.90/49.78 ($false),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15315, 464, 15312, 15255])).
% 77.90/49.78 tff(15317,plain,(v26(constB119) | v90(constB120, bitIndex1) | (~v113(constB119)) | (~v130(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 77.90/49.78 tff(15318,plain,
% 77.90/49.78 (v90(constB120, bitIndex1) | (~v113(constB119)) | (~v130(constB119, bitIndex1))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15317, 15245])).
% 77.90/49.78 tff(15319,plain,
% 77.90/49.78 (v90(constB120, bitIndex1)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15318, 15241, 15233])).
% 77.90/49.78 tff(15320,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15321,plain,
% 77.90/49.78 (((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1))) <=> (v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15322,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1))))),
% 77.90/49.78 inference(monotonicity,[status(thm)],[15321])).
% 77.90/49.78 tff(15323,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 77.90/49.78 inference(transitivity,[status(thm)],[15322, 15320])).
% 77.90/49.78 tff(15324,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15325,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 77.90/49.78 tff(15326,plain,
% 77.90/49.78 (v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15325, 360, 15264])).
% 77.90/49.78 tff(15327,plain,
% 77.90/49.78 (v100(constB120)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15326, 15319, 15163])).
% 77.90/49.78 tff(15328,plain,
% 77.90/49.78 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15329,plain,
% 77.90/49.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15330,plain,
% 77.90/49.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15329, 15328])).
% 77.90/49.78 tff(15331,plain,
% 77.90/49.78 (v130(constB119, bitIndex2)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15330, 2050, 15229])).
% 77.90/49.78 tff(15332,plain,
% 77.90/49.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15333,plain,
% 77.90/49.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15334,plain,
% 77.90/49.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15333, 15332])).
% 77.90/49.78 tff(15335,plain,
% 77.90/49.78 ((~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15334, 1431, 15245])).
% 77.90/49.78 tff(15336,plain,
% 77.90/49.78 (v127(constB119, bitIndex2)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15335, 15331])).
% 77.90/49.78 tff(15337,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15338,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15339,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15338, 15337])).
% 77.90/49.78 tff(15340,plain,
% 77.90/49.78 ((~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15339, 1449, 15264])).
% 77.90/49.78 tff(15341,plain,
% 77.90/49.78 (v129(constB120, bitIndex2)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15340, 15336])).
% 77.90/49.78 tff(15342,plain,
% 77.90/49.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15343,plain,
% 77.90/49.78 ((v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15344,plain,
% 77.90/49.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))))),
% 77.90/49.78 inference(monotonicity,[status(thm)],[15343])).
% 77.90/49.78 tff(15345,plain,
% 77.90/49.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 77.90/49.78 inference(transitivity,[status(thm)],[15344, 15342])).
% 77.90/49.78 tff(15346,plain,
% 77.90/49.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15347,plain,
% 77.90/49.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 77.90/49.78 tff(15348,plain,
% 77.90/49.78 (v90(constB120, bitIndex2) | (~v100(constB120))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15347, 1539, 15341])).
% 77.90/49.78 tff(15349,plain,
% 77.90/49.78 (v90(constB120, bitIndex2)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15348, 15327])).
% 77.90/49.78 tff(15350,plain,
% 77.90/49.78 ((~v1(constB121)) <=> (~v1(constB121))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15351,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 77.90/49.78 tff(15352,plain,
% 77.90/49.78 (~v1(constB121)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 77.90/49.78 tff(15353,plain,
% 77.90/49.78 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15354,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 77.90/49.78 tff(15355,plain,
% 77.90/49.78 (nextState(constB120, constB121)),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 77.90/49.78 tff(15356,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15357,plain,
% 77.90/49.78 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15358,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 77.90/49.78 inference(monotonicity,[status(thm)],[15357])).
% 77.90/49.78 tff(15359,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 77.90/49.78 inference(transitivity,[status(thm)],[15358, 15356])).
% 77.90/49.78 tff(15360,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15361,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15360, 15359])).
% 77.90/49.78 tff(15362,plain,
% 77.90/49.78 (~v101(constB121)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15361, 307, 15355, 15352])).
% 77.90/49.78 tff(15363,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15364,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 77.90/49.78 inference(quant_inst,[status(thm)],[])).
% 77.90/49.78 tff(15365,plain,
% 77.90/49.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 77.90/49.78 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 77.90/49.78 tff(15366,plain,
% 77.90/49.78 (v101(constB121) | (~v100(constB121))),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15365, 324, 15355])).
% 77.90/49.78 tff(15367,plain,
% 77.90/49.78 (~v100(constB121)),
% 77.90/49.78 inference(unit_resolution,[status(thm)],[15366, 15362])).
% 77.90/49.78 tff(15368,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15369,plain,
% 77.90/49.78 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 77.90/49.78 inference(rewrite,[status(thm)],[])).
% 77.90/49.78 tff(15370,plain,
% 77.90/49.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)))),
% 77.90/49.79 inference(monotonicity,[status(thm)],[15369])).
% 77.90/49.79 tff(15371,plain,
% 77.90/49.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 77.90/49.79 inference(transitivity,[status(thm)],[15370, 15368])).
% 77.90/49.79 tff(15372,plain,
% 77.90/49.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))),
% 77.90/49.79 inference(quant_inst,[status(thm)],[])).
% 77.90/49.79 tff(15373,plain,
% 77.90/49.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)),
% 77.90/49.79 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 77.90/49.79 tff(15374,plain,
% 77.90/49.79 ((~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15373, 1575, 15355])).
% 77.90/49.79 tff(15375,plain,
% 77.90/49.79 ((~v90(constB120, bitIndex2)) | v90(constB121, bitIndex2)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15374, 15367])).
% 77.90/49.79 tff(15376,plain,
% 77.90/49.79 (v90(constB121, bitIndex2)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15375, 15349])).
% 77.90/49.79 tff(15377,plain,
% 77.90/49.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15378,plain,
% 77.90/49.79 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15379,plain,
% 77.90/49.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 77.90/49.79 inference(monotonicity,[status(thm)],[15378])).
% 77.90/49.79 tff(15380,plain,
% 77.90/49.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 77.90/49.79 inference(transitivity,[status(thm)],[15379, 15377])).
% 77.90/49.79 tff(15381,plain,
% 77.90/49.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 77.90/49.79 inference(quant_inst,[status(thm)],[])).
% 77.90/49.79 tff(15382,plain,
% 77.90/49.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 77.90/49.79 inference(modus_ponens,[status(thm)],[15381, 15380])).
% 77.90/49.79 tff(15383,plain,
% 77.90/49.79 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15382, 1079, 15355])).
% 77.90/49.79 tff(15384,plain,
% 77.90/49.79 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15383, 15367])).
% 77.90/49.79 tff(15385,plain,
% 77.90/49.79 (v90(constB121, bitIndex1)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15384, 15319])).
% 77.90/49.79 tff(15386,plain,
% 77.90/49.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15387,plain,
% 77.90/49.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 77.90/49.79 inference(quant_inst,[status(thm)],[])).
% 77.90/49.79 tff(15388,plain,
% 77.90/49.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0))),
% 77.90/49.79 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 77.90/49.79 tff(15389,plain,
% 77.90/49.79 (~v130(constB119, bitIndex0)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15388, 2112, 15229])).
% 77.90/49.79 tff(15390,plain,
% 77.90/49.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15391,plain,
% 77.90/49.79 ((v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0))) <=> ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15392,plain,
% 77.90/49.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)))),
% 77.90/49.79 inference(monotonicity,[status(thm)],[15391])).
% 77.90/49.79 tff(15393,plain,
% 77.90/49.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 77.90/49.79 inference(transitivity,[status(thm)],[15392, 15390])).
% 77.90/49.79 tff(15394,plain,
% 77.90/49.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))),
% 77.90/49.79 inference(quant_inst,[status(thm)],[])).
% 77.90/49.79 tff(15395,plain,
% 77.90/49.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)),
% 77.90/49.79 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 77.90/49.79 tff(15396,plain,
% 77.90/49.79 ((~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15395, 1112, 15245])).
% 77.90/49.79 tff(15397,plain,
% 77.90/49.79 (~v127(constB119, bitIndex0)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15396, 15389])).
% 77.90/49.79 tff(15398,plain,
% 77.90/49.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15399,plain,
% 77.90/49.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 77.90/49.79 inference(quant_inst,[status(thm)],[])).
% 77.90/49.79 tff(15400,plain,
% 77.90/49.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 77.90/49.79 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 77.90/49.79 tff(15401,plain,
% 77.90/49.79 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15400, 1130, 15264])).
% 77.90/49.79 tff(15402,plain,
% 77.90/49.79 (~v129(constB120, bitIndex0)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15401, 15397])).
% 77.90/49.79 tff(15403,plain,
% 77.90/49.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15404,plain,
% 77.90/49.79 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 77.90/49.79 inference(rewrite,[status(thm)],[])).
% 77.90/49.79 tff(15405,plain,
% 77.90/49.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))))),
% 77.90/49.79 inference(monotonicity,[status(thm)],[15404])).
% 77.90/49.79 tff(15406,plain,
% 77.90/49.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 77.90/49.79 inference(transitivity,[status(thm)],[15405, 15403])).
% 77.90/49.79 tff(15407,plain,
% 77.90/49.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 77.90/49.79 inference(quant_inst,[status(thm)],[])).
% 77.90/49.79 tff(15408,plain,
% 77.90/49.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 77.90/49.79 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 77.90/49.79 tff(15409,plain,
% 77.90/49.79 ((~v90(constB120, bitIndex0)) | (~v100(constB120))),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15408, 1145, 15402])).
% 77.90/49.79 tff(15410,plain,
% 77.90/49.79 (~v90(constB120, bitIndex0)),
% 77.90/49.79 inference(unit_resolution,[status(thm)],[15409, 15327])).
% 77.90/49.79 tff(15411,plain,
% 77.90/49.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15412,plain,
% 77.90/49.80 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15413,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))))),
% 77.90/49.80 inference(monotonicity,[status(thm)],[15412])).
% 77.90/49.80 tff(15414,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 77.90/49.80 inference(transitivity,[status(thm)],[15413, 15411])).
% 77.90/49.80 tff(15415,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15416,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 77.90/49.80 tff(15417,plain,
% 77.90/49.80 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15416, 381, 15355])).
% 77.90/49.80 tff(15418,plain,
% 77.90/49.80 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15417, 15367])).
% 77.90/49.80 tff(15419,plain,
% 77.90/49.80 (~v90(constB121, bitIndex0)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15418, 15410])).
% 77.90/49.80 tff(15420,plain,
% 77.90/49.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15421,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15422,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121)),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 77.90/49.80 tff(15423,plain,
% 77.90/49.80 (v125(constB121)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15422, 2156, 15419, 15385, 15376])).
% 77.90/49.80 tff(15424,plain,
% 77.90/49.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15425,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15426,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121))),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 77.90/49.80 tff(15427,plain,
% 77.90/49.80 (v113(constB121)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15426, 2167, 15423])).
% 77.90/49.80 tff(15428,assumption,(v26(constB121)), introduced(assumption)).
% 77.90/49.80 tff(15429,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15430,plain,
% 77.90/49.80 ($false),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15429, 14, 15428])).
% 77.90/49.80 tff(15431,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 77.90/49.80 tff(15432,plain,
% 77.90/49.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15433,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15434,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | (~v113(constB121)) | v112(constB121)),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15433, 15432])).
% 77.90/49.80 tff(15435,plain,
% 77.90/49.80 ((~v113(constB121)) | v112(constB121)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15434, 555, 15431])).
% 77.90/49.80 tff(15436,plain,
% 77.90/49.80 (v112(constB121)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15435, 15427])).
% 77.90/49.80 tff(15437,plain,
% 77.90/49.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15438,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15439,plain,
% 77.90/49.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121))),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15438, 15437])).
% 77.90/49.80 tff(15440,plain,
% 77.90/49.80 (v108(constB121)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15439, 464, 15436])).
% 77.90/49.80 tff(15441,plain,
% 77.90/49.80 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15442,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 77.90/49.80 tff(15443,plain,
% 77.90/49.80 (nextState(constB121, constB122)),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15442, 15441])).
% 77.90/49.80 tff(15444,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15445,plain,
% 77.90/49.80 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15446,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 77.90/49.80 inference(monotonicity,[status(thm)],[15445])).
% 77.90/49.80 tff(15447,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 77.90/49.80 inference(transitivity,[status(thm)],[15446, 15444])).
% 77.90/49.80 tff(15448,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15449,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 77.90/49.80 tff(15450,plain,
% 77.90/49.80 (v110(constB122) | (~v108(constB121))),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15449, 571, 15443])).
% 77.90/49.80 tff(15451,plain,
% 77.90/49.80 (v110(constB122)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15450, 15440])).
% 77.90/49.80 tff(15452,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15453,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15454,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15453, 15452])).
% 77.90/49.80 tff(15455,plain,
% 77.90/49.80 (~v104(constB122)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15454, 589, 15443, 15352])).
% 77.90/49.80 tff(15456,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15457,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15458,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 77.90/49.80 tff(15459,plain,
% 77.90/49.80 (v102(constB122) | v104(constB122)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15458, 603, 15443])).
% 77.90/49.80 tff(15460,plain,
% 77.90/49.80 (v102(constB122)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15459, 15455])).
% 77.90/49.80 tff(15461,plain,
% 77.90/49.80 (v1(constB122) <=> v1(constB122)),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15462,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 77.90/49.80 tff(15463,plain,
% 77.90/49.80 (v1(constB122)),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 77.90/49.80 tff(15464,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15465,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 77.90/49.80 inference(quant_inst,[status(thm)],[])).
% 77.90/49.80 tff(15466,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 77.90/49.80 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 77.90/49.80 tff(15467,plain,
% 77.90/49.80 (v101(constB122) | (~v102(constB122))),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15466, 621, 15443, 15463])).
% 77.90/49.80 tff(15468,plain,
% 77.90/49.80 (v101(constB122)),
% 77.90/49.80 inference(unit_resolution,[status(thm)],[15467, 15460])).
% 77.90/49.80 tff(15469,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15470,plain,
% 77.90/49.80 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 77.90/49.80 inference(rewrite,[status(thm)],[])).
% 77.90/49.80 tff(15471,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 77.90/49.80 inference(monotonicity,[status(thm)],[15470])).
% 77.90/49.80 tff(15472,plain,
% 77.90/49.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 77.90/49.80 inference(transitivity,[status(thm)],[15471, 15469])).
% 77.90/49.80 tff(15473,plain,
% 77.90/49.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15474,plain,
% 77.90/49.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15473, 15472])).
% 77.90/49.81 tff(15475,plain,
% 77.90/49.81 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15474, 636, 15443])).
% 77.90/49.81 tff(15476,plain,
% 77.90/49.81 (v100(constB122) | (~v110(constB122))),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15475, 15468])).
% 77.90/49.81 tff(15477,plain,
% 77.90/49.81 (v100(constB122)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15476, 15451])).
% 77.90/49.81 tff(15478,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15479,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15480,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 77.90/49.81 tff(15481,plain,
% 77.90/49.81 (~v121(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15480, 2218, 15376])).
% 77.90/49.81 tff(15482,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15483,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15484,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 77.90/49.81 tff(15485,plain,
% 77.90/49.81 (~v122(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15484, 2229, 15376])).
% 77.90/49.81 tff(15486,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15487,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15488,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15487, 15486])).
% 77.90/49.81 tff(15489,plain,
% 77.90/49.81 (~v119(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15488, 2243, 15385])).
% 77.90/49.81 tff(15490,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15491,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15492,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 77.90/49.81 tff(15493,plain,
% 77.90/49.81 (~v120(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15492, 2254, 15385])).
% 77.90/49.81 tff(15494,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15495,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15496,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 77.90/49.81 tff(15497,plain,
% 77.90/49.81 (~v123(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15496, 2265, 15385])).
% 77.90/49.81 tff(15498,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15499,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15500,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 77.90/49.81 tff(15501,plain,
% 77.90/49.81 (~v124(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15500, 2276, 15385])).
% 77.90/49.81 tff(15502,plain,
% 77.90/49.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15503,plain,
% 77.90/49.81 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2))) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15504,plain,
% 77.90/49.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2))))),
% 77.90/49.81 inference(monotonicity,[status(thm)],[15503])).
% 77.90/49.81 tff(15505,plain,
% 77.90/49.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))),
% 77.90/49.81 inference(transitivity,[status(thm)],[15504, 15502])).
% 77.90/49.81 tff(15506,plain,
% 77.90/49.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15507,plain,
% 77.90/49.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 77.90/49.81 tff(15508,plain,
% 77.90/49.81 (~v130(constB121, bitIndex2)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15507, 2290, 15501, 15497, 15493, 15489, 15485, 15481])).
% 77.90/49.81 tff(15509,assumption,(v127(constB121, bitIndex2)), introduced(assumption)).
% 77.90/49.81 tff(15510,assumption,(~v130(constB121, bitIndex2)), introduced(assumption)).
% 77.90/49.81 tff(15511,plain,
% 77.90/49.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15512,plain,
% 77.90/49.81 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15513,plain,
% 77.90/49.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 77.90/49.81 inference(monotonicity,[status(thm)],[15512])).
% 77.90/49.81 tff(15514,plain,
% 77.90/49.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 77.90/49.81 inference(transitivity,[status(thm)],[15513, 15511])).
% 77.90/49.81 tff(15515,plain,
% 77.90/49.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15516,plain,
% 77.90/49.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15515, 15514])).
% 77.90/49.81 tff(15517,plain,
% 77.90/49.81 ((~v127(constB121, bitIndex2)) | v26(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15516, 430, 15510])).
% 77.90/49.81 tff(15518,plain,
% 77.90/49.81 (v26(constB121)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15517, 15509])).
% 77.90/49.81 tff(15519,plain,
% 77.90/49.81 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB121)) | (~v127(constB121, bitIndex2)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15520,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex2)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15521,plain,
% 77.90/49.81 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB121)) | (~v127(constB121, bitIndex2))),
% 77.90/49.81 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 77.90/49.81 tff(15522,plain,
% 77.90/49.81 ($false),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15521, 5550, 15509, 15518])).
% 77.90/49.81 tff(15523,plain,((~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 77.90/49.81 tff(15524,plain,
% 77.90/49.81 (~v127(constB121, bitIndex2)),
% 77.90/49.81 inference(unit_resolution,[status(thm)],[15523, 15508])).
% 77.90/49.81 tff(15525,plain,
% 77.90/49.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 77.90/49.81 inference(rewrite,[status(thm)],[])).
% 77.90/49.81 tff(15526,plain,
% 77.90/49.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 77.90/49.81 inference(quant_inst,[status(thm)],[])).
% 77.90/49.81 tff(15527,plain,
% 77.90/49.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15526, 15525])).
% 77.99/49.82 tff(15528,plain,
% 77.99/49.82 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15527, 451, 15443])).
% 77.99/49.82 tff(15529,plain,
% 77.99/49.82 (~v129(constB122, bitIndex2)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15528, 15524])).
% 77.99/49.82 tff(15530,plain,
% 77.99/49.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15531,plain,
% 77.99/49.82 (((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15532,plain,
% 77.99/49.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))))),
% 77.99/49.82 inference(monotonicity,[status(thm)],[15531])).
% 77.99/49.82 tff(15533,plain,
% 77.99/49.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 77.99/49.82 inference(transitivity,[status(thm)],[15532, 15530])).
% 77.99/49.82 tff(15534,plain,
% 77.99/49.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15535,plain,
% 77.99/49.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 77.99/49.82 tff(15536,plain,
% 77.99/49.82 ((~v90(constB122, bitIndex2)) | (~v100(constB122))),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15535, 655, 15529])).
% 77.99/49.82 tff(15537,plain,
% 77.99/49.82 (~v90(constB122, bitIndex2)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15536, 15477])).
% 77.99/49.82 tff(15538,plain,
% 77.99/49.82 ((~v1(constB123)) <=> (~v1(constB123))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15539,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 77.99/49.82 tff(15540,plain,
% 77.99/49.82 (~v1(constB123)),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15539, 15538])).
% 77.99/49.82 tff(15541,plain,
% 77.99/49.82 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15542,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 77.99/49.82 tff(15543,plain,
% 77.99/49.82 (nextState(constB122, constB123)),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 77.99/49.82 tff(15544,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15545,plain,
% 77.99/49.82 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15546,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 77.99/49.82 inference(monotonicity,[status(thm)],[15545])).
% 77.99/49.82 tff(15547,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 77.99/49.82 inference(transitivity,[status(thm)],[15546, 15544])).
% 77.99/49.82 tff(15548,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15549,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 77.99/49.82 tff(15550,plain,
% 77.99/49.82 (~v101(constB123)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15549, 307, 15543, 15540])).
% 77.99/49.82 tff(15551,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15552,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15553,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15552, 15551])).
% 77.99/49.82 tff(15554,plain,
% 77.99/49.82 (v101(constB123) | (~v100(constB123))),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15553, 324, 15543])).
% 77.99/49.82 tff(15555,plain,
% 77.99/49.82 (~v100(constB123)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15554, 15550])).
% 77.99/49.82 tff(15556,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15557,plain,
% 77.99/49.82 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15558,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 77.99/49.82 inference(monotonicity,[status(thm)],[15557])).
% 77.99/49.82 tff(15559,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 77.99/49.82 inference(transitivity,[status(thm)],[15558, 15556])).
% 77.99/49.82 tff(15560,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15561,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 77.99/49.82 tff(15562,plain,
% 77.99/49.82 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15561, 339, 15543])).
% 77.99/49.82 tff(15563,plain,
% 77.99/49.82 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15562, 15555])).
% 77.99/49.82 tff(15564,plain,
% 77.99/49.82 (~v90(constB123, bitIndex2)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15563, 15537])).
% 77.99/49.82 tff(15565,plain,
% 77.99/49.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15566,plain,
% 77.99/49.82 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15567,plain,
% 77.99/49.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1))))),
% 77.99/49.82 inference(monotonicity,[status(thm)],[15566])).
% 77.99/49.82 tff(15568,plain,
% 77.99/49.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))),
% 77.99/49.82 inference(transitivity,[status(thm)],[15567, 15565])).
% 77.99/49.82 tff(15569,plain,
% 77.99/49.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15570,plain,
% 77.99/49.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 77.99/49.82 tff(15571,plain,
% 77.99/49.82 (~v130(constB121, bitIndex1)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15570, 2355, 15501, 15497, 15493, 15489, 15485, 15481])).
% 77.99/49.82 tff(15572,plain,
% 77.99/49.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15573,plain,
% 77.99/49.82 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15574,plain,
% 77.99/49.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 77.99/49.82 inference(monotonicity,[status(thm)],[15573])).
% 77.99/49.82 tff(15575,plain,
% 77.99/49.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 77.99/49.82 inference(transitivity,[status(thm)],[15574, 15572])).
% 77.99/49.82 tff(15576,plain,
% 77.99/49.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15577,plain,
% 77.99/49.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 77.99/49.82 tff(15578,plain,
% 77.99/49.82 ((~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15577, 714, 15431])).
% 77.99/49.82 tff(15579,plain,
% 77.99/49.82 (~v127(constB121, bitIndex1)),
% 77.99/49.82 inference(unit_resolution,[status(thm)],[15578, 15571])).
% 77.99/49.82 tff(15580,plain,
% 77.99/49.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 77.99/49.82 inference(rewrite,[status(thm)],[])).
% 77.99/49.82 tff(15581,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 77.99/49.82 inference(quant_inst,[status(thm)],[])).
% 77.99/49.82 tff(15582,plain,
% 77.99/49.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 77.99/49.82 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 77.99/49.83 tff(15583,plain,
% 77.99/49.83 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15582, 732, 15443])).
% 77.99/49.83 tff(15584,plain,
% 77.99/49.83 (~v129(constB122, bitIndex1)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15583, 15579])).
% 77.99/49.83 tff(15585,plain,
% 77.99/49.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15586,plain,
% 77.99/49.83 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15587,plain,
% 77.99/49.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 77.99/49.83 inference(monotonicity,[status(thm)],[15586])).
% 77.99/49.83 tff(15588,plain,
% 77.99/49.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 77.99/49.83 inference(transitivity,[status(thm)],[15587, 15585])).
% 77.99/49.83 tff(15589,plain,
% 77.99/49.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 77.99/49.83 inference(quant_inst,[status(thm)],[])).
% 77.99/49.83 tff(15590,plain,
% 77.99/49.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 77.99/49.83 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 77.99/49.83 tff(15591,plain,
% 77.99/49.83 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15590, 747, 15584])).
% 77.99/49.83 tff(15592,plain,
% 77.99/49.83 (~v90(constB122, bitIndex1)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15591, 15477])).
% 77.99/49.83 tff(15593,plain,
% 77.99/49.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15594,plain,
% 77.99/49.83 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15595,plain,
% 77.99/49.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 77.99/49.83 inference(monotonicity,[status(thm)],[15594])).
% 77.99/49.83 tff(15596,plain,
% 77.99/49.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 77.99/49.83 inference(transitivity,[status(thm)],[15595, 15593])).
% 77.99/49.83 tff(15597,plain,
% 77.99/49.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 77.99/49.83 inference(quant_inst,[status(thm)],[])).
% 77.99/49.83 tff(15598,plain,
% 77.99/49.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 77.99/49.83 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 77.99/49.83 tff(15599,plain,
% 77.99/49.83 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15598, 360, 15543])).
% 77.99/49.83 tff(15600,plain,
% 77.99/49.83 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15599, 15555])).
% 77.99/49.83 tff(15601,plain,
% 77.99/49.83 (~v90(constB123, bitIndex1)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15600, 15592])).
% 77.99/49.83 tff(15602,plain,
% 77.99/49.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15603,plain,
% 77.99/49.83 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0)) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15604,plain,
% 77.99/49.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0)))),
% 77.99/49.83 inference(monotonicity,[status(thm)],[15603])).
% 77.99/49.83 tff(15605,plain,
% 77.99/49.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))),
% 77.99/49.83 inference(transitivity,[status(thm)],[15604, 15602])).
% 77.99/49.83 tff(15606,plain,
% 77.99/49.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 77.99/49.83 inference(quant_inst,[status(thm)],[])).
% 77.99/49.83 tff(15607,plain,
% 77.99/49.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0)),
% 77.99/49.83 inference(modus_ponens,[status(thm)],[15606, 15605])).
% 77.99/49.83 tff(15608,plain,
% 77.99/49.83 (v130(constB121, bitIndex0)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15607, 2402, 15501, 15497, 15493, 15489, 15485, 15481])).
% 77.99/49.83 tff(15609,plain,
% 77.99/49.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15610,plain,
% 77.99/49.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 77.99/49.83 inference(quant_inst,[status(thm)],[])).
% 77.99/49.83 tff(15611,plain,
% 77.99/49.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 77.99/49.83 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 77.99/49.83 tff(15612,plain,
% 77.99/49.83 ((~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15611, 788, 15431])).
% 77.99/49.83 tff(15613,plain,
% 77.99/49.83 (v127(constB121, bitIndex0)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15612, 15608])).
% 77.99/49.83 tff(15614,plain,
% 77.99/49.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15615,plain,
% 77.99/49.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 77.99/49.83 inference(quant_inst,[status(thm)],[])).
% 77.99/49.83 tff(15616,plain,
% 77.99/49.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 77.99/49.83 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 77.99/49.83 tff(15617,plain,
% 77.99/49.83 ((~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15616, 803, 15443])).
% 77.99/49.83 tff(15618,plain,
% 77.99/49.83 (v129(constB122, bitIndex0)),
% 77.99/49.83 inference(unit_resolution,[status(thm)],[15617, 15613])).
% 77.99/49.83 tff(15619,plain,
% 77.99/49.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15620,plain,
% 77.99/49.83 ((v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 77.99/49.83 inference(rewrite,[status(thm)],[])).
% 77.99/49.83 tff(15621,plain,
% 77.99/49.83 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))))),
% 77.99/49.84 inference(monotonicity,[status(thm)],[15620])).
% 77.99/49.84 tff(15622,plain,
% 77.99/49.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 77.99/49.84 inference(transitivity,[status(thm)],[15621, 15619])).
% 77.99/49.84 tff(15623,plain,
% 77.99/49.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15624,plain,
% 77.99/49.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 77.99/49.84 tff(15625,plain,
% 77.99/49.84 (v90(constB122, bitIndex0) | (~v100(constB122))),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15624, 818, 15618])).
% 77.99/49.84 tff(15626,plain,
% 77.99/49.84 (v90(constB122, bitIndex0)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15625, 15477])).
% 77.99/49.84 tff(15627,plain,
% 77.99/49.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15628,plain,
% 77.99/49.84 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15629,plain,
% 77.99/49.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)))),
% 77.99/49.84 inference(monotonicity,[status(thm)],[15628])).
% 77.99/49.84 tff(15630,plain,
% 77.99/49.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 77.99/49.84 inference(transitivity,[status(thm)],[15629, 15627])).
% 77.99/49.84 tff(15631,plain,
% 77.99/49.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15632,plain,
% 77.99/49.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 77.99/49.84 tff(15633,plain,
% 77.99/49.84 ((~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15632, 836, 15543])).
% 77.99/49.84 tff(15634,plain,
% 77.99/49.84 ((~v90(constB122, bitIndex0)) | v90(constB123, bitIndex0)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15633, 15555])).
% 77.99/49.84 tff(15635,plain,
% 77.99/49.84 (v90(constB123, bitIndex0)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15634, 15626])).
% 77.99/49.84 tff(15636,plain,
% 77.99/49.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15637,plain,
% 77.99/49.84 (((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)) <=> ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15638,plain,
% 77.99/49.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)))),
% 77.99/49.84 inference(monotonicity,[status(thm)],[15637])).
% 77.99/49.84 tff(15639,plain,
% 77.99/49.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 77.99/49.84 inference(transitivity,[status(thm)],[15638, 15636])).
% 77.99/49.84 tff(15640,plain,
% 77.99/49.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15641,plain,
% 77.99/49.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 77.99/49.84 tff(15642,plain,
% 77.99/49.84 (v120(constB123)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15641, 855, 15635, 15601, 15564])).
% 77.99/49.84 tff(15643,plain,
% 77.99/49.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15644,plain,
% 77.99/49.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15645,plain,
% 77.99/49.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1)),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 77.99/49.84 tff(15646,plain,
% 77.99/49.84 (v130(constB123, bitIndex1)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15645, 1017, 15642])).
% 77.99/49.84 tff(15647,assumption,(v26(constB123)), introduced(assumption)).
% 77.99/49.84 tff(15648,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15649,plain,
% 77.99/49.84 ($false),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15648, 14, 15647])).
% 77.99/49.84 tff(15650,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 77.99/49.84 tff(15651,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15652,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15653,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15652, 15651])).
% 77.99/49.84 tff(15654,plain,
% 77.99/49.84 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15653, 1031, 15650])).
% 77.99/49.84 tff(15655,plain,
% 77.99/49.84 (v127(constB123, bitIndex1)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15654, 15646])).
% 77.99/49.84 tff(15656,plain,
% 77.99/49.84 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15657,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 77.99/49.84 tff(15658,plain,
% 77.99/49.84 (nextState(constB123, constB124)),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15657, 15656])).
% 77.99/49.84 tff(15659,plain,
% 77.99/49.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15660,plain,
% 77.99/49.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15661,plain,
% 77.99/49.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15660, 15659])).
% 77.99/49.84 tff(15662,plain,
% 77.99/49.84 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15661, 1046, 15658])).
% 77.99/49.84 tff(15663,plain,
% 77.99/49.84 (v129(constB124, bitIndex1)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15662, 15655])).
% 77.99/49.84 tff(15664,assumption,(v120(constB123)), introduced(assumption)).
% 77.99/49.84 tff(15665,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123)))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15666,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15667,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123))),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 77.99/49.84 tff(15668,plain,
% 77.99/49.84 (v118(constB123)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15667, 908, 15664])).
% 77.99/49.84 tff(15669,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123)))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15670,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15671,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123))),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 77.99/49.84 tff(15672,plain,
% 77.99/49.84 (v117(constB123)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15671, 497, 15668])).
% 77.99/49.84 tff(15673,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123)))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15674,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15675,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123))),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15674, 15673])).
% 77.99/49.84 tff(15676,plain,
% 77.99/49.84 (v116(constB123)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15675, 508, 15672])).
% 77.99/49.84 tff(15677,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123)))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15678,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15679,plain,
% 77.99/49.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123))),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 77.99/49.84 tff(15680,plain,
% 77.99/49.84 (v115(constB123)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15679, 519, 15676])).
% 77.99/49.84 tff(15681,plain,
% 77.99/49.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15682,plain,
% 77.99/49.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 77.99/49.84 inference(quant_inst,[status(thm)],[])).
% 77.99/49.84 tff(15683,plain,
% 77.99/49.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 77.99/49.84 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 77.99/49.84 tff(15684,plain,
% 77.99/49.84 (~v130(constB123, bitIndex0)),
% 77.99/49.84 inference(unit_resolution,[status(thm)],[15683, 1098, 15664])).
% 77.99/49.84 tff(15685,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15686,plain,
% 77.99/49.84 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 77.99/49.84 inference(rewrite,[status(thm)],[])).
% 77.99/49.84 tff(15687,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 77.99/49.84 inference(monotonicity,[status(thm)],[15686])).
% 77.99/49.84 tff(15688,plain,
% 77.99/49.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 77.99/49.85 inference(transitivity,[status(thm)],[15687, 15685])).
% 77.99/49.85 tff(15689,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15690,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 77.99/49.85 tff(15691,plain,
% 77.99/49.85 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15690, 1112, 15650])).
% 77.99/49.85 tff(15692,plain,
% 77.99/49.85 (~v127(constB123, bitIndex0)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15691, 15684])).
% 77.99/49.85 tff(15693,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15694,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15695,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15694, 15693])).
% 77.99/49.85 tff(15696,plain,
% 77.99/49.85 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15695, 1130, 15658])).
% 77.99/49.85 tff(15697,plain,
% 77.99/49.85 (~v129(constB124, bitIndex0)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15696, 15692])).
% 77.99/49.85 tff(15698,assumption,(v90(constB124, bitIndex0)), introduced(assumption)).
% 77.99/49.85 tff(15699,plain,
% 77.99/49.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15700,plain,
% 77.99/49.85 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15701,plain,
% 77.99/49.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 77.99/49.85 inference(monotonicity,[status(thm)],[15700])).
% 77.99/49.85 tff(15702,plain,
% 77.99/49.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 77.99/49.85 inference(transitivity,[status(thm)],[15701, 15699])).
% 77.99/49.85 tff(15703,plain,
% 77.99/49.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15704,plain,
% 77.99/49.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15703, 15702])).
% 77.99/49.85 tff(15705,plain,
% 77.99/49.85 (v129(constB124, bitIndex0) | (~v100(constB124))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15704, 1145, 15698])).
% 77.99/49.85 tff(15706,plain,
% 77.99/49.85 (~v100(constB124)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15705, 15697])).
% 77.99/49.85 tff(15707,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15708,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15709,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15708, 15707])).
% 77.99/49.85 tff(15710,plain,
% 77.99/49.85 (~v104(constB124)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15709, 589, 15658, 15540])).
% 77.99/49.85 tff(15711,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15712,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15713,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15712, 15711])).
% 77.99/49.85 tff(15714,plain,
% 77.99/49.85 (v102(constB124) | v104(constB124)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15713, 603, 15658])).
% 77.99/49.85 tff(15715,plain,
% 77.99/49.85 (v102(constB124)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15714, 15710])).
% 77.99/49.85 tff(15716,plain,
% 77.99/49.85 (v1(constB124) <=> v1(constB124)),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15717,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 77.99/49.85 tff(15718,plain,
% 77.99/49.85 (v1(constB124)),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 77.99/49.85 tff(15719,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15720,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15721,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15720, 15719])).
% 77.99/49.85 tff(15722,plain,
% 77.99/49.85 (v101(constB124) | (~v102(constB124))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15721, 621, 15658, 15718])).
% 77.99/49.85 tff(15723,plain,
% 77.99/49.85 (v101(constB124)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15722, 15715])).
% 77.99/49.85 tff(15724,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15725,plain,
% 77.99/49.85 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15726,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 77.99/49.85 inference(monotonicity,[status(thm)],[15725])).
% 77.99/49.85 tff(15727,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 77.99/49.85 inference(transitivity,[status(thm)],[15726, 15724])).
% 77.99/49.85 tff(15728,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15729,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 77.99/49.85 tff(15730,plain,
% 77.99/49.85 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15729, 636, 15658])).
% 77.99/49.85 tff(15731,plain,
% 77.99/49.85 (v100(constB124) | (~v110(constB124))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15730, 15723])).
% 77.99/49.85 tff(15732,plain,
% 77.99/49.85 (~v110(constB124)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15731, 15706])).
% 77.99/49.85 tff(15733,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15734,plain,
% 77.99/49.85 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15735,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 77.99/49.85 inference(monotonicity,[status(thm)],[15734])).
% 77.99/49.85 tff(15736,plain,
% 77.99/49.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 77.99/49.85 inference(transitivity,[status(thm)],[15735, 15733])).
% 77.99/49.85 tff(15737,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15738,plain,
% 77.99/49.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 77.99/49.85 tff(15739,plain,
% 77.99/49.85 (v110(constB124) | (~v108(constB123))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15738, 571, 15658])).
% 77.99/49.85 tff(15740,plain,
% 77.99/49.85 (~v108(constB123)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15739, 15732])).
% 77.99/49.85 tff(15741,plain,
% 77.99/49.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15742,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15743,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15742, 15741])).
% 77.99/49.85 tff(15744,plain,
% 77.99/49.85 (~v112(constB123)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15743, 464, 15740])).
% 77.99/49.85 tff(15745,plain,
% 77.99/49.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15746,plain,
% 77.99/49.85 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15747,plain,
% 77.99/49.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 77.99/49.85 inference(monotonicity,[status(thm)],[15746])).
% 77.99/49.85 tff(15748,plain,
% 77.99/49.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 77.99/49.85 inference(transitivity,[status(thm)],[15747, 15745])).
% 77.99/49.85 tff(15749,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 77.99/49.85 inference(quant_inst,[status(thm)],[])).
% 77.99/49.85 tff(15750,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 77.99/49.85 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 77.99/49.85 tff(15751,plain,
% 77.99/49.85 (v112(constB123) | (~v113(constB123))),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15750, 555, 15650])).
% 77.99/49.85 tff(15752,plain,
% 77.99/49.85 (~v113(constB123)),
% 77.99/49.85 inference(unit_resolution,[status(thm)],[15751, 15744])).
% 77.99/49.85 tff(15753,plain,
% 77.99/49.85 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123)))),
% 77.99/49.85 inference(rewrite,[status(thm)],[])).
% 77.99/49.85 tff(15754,plain,
% 77.99/49.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15755,plain,
% 77.99/49.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123))),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15754, 15753])).
% 77.99/49.86 tff(15756,plain,
% 77.99/49.86 (~v114(constB123)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15755, 541, 15752])).
% 77.99/49.86 tff(15757,plain,
% 77.99/49.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15758,plain,
% 77.99/49.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15759,plain,
% 77.99/49.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123))),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15758, 15757])).
% 77.99/49.86 tff(15760,plain,
% 77.99/49.86 ($false),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15759, 530, 15756, 15680])).
% 77.99/49.86 tff(15761,plain,((~v120(constB123)) | (~v90(constB124, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 77.99/49.86 tff(15762,plain,
% 77.99/49.86 (~v90(constB124, bitIndex0)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15761, 15642])).
% 77.99/49.86 tff(15763,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15764,plain,
% 77.99/49.86 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0)) <=> ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15765,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0)))),
% 77.99/49.86 inference(monotonicity,[status(thm)],[15764])).
% 77.99/49.86 tff(15766,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 77.99/49.86 inference(transitivity,[status(thm)],[15765, 15763])).
% 77.99/49.86 tff(15767,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15768,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0)),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15767, 15766])).
% 77.99/49.86 tff(15769,plain,
% 77.99/49.86 ((~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15768, 836, 15658])).
% 77.99/49.86 tff(15770,plain,
% 77.99/49.86 (v100(constB124)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15769, 15762, 15635])).
% 77.99/49.86 tff(15771,plain,
% 77.99/49.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15772,plain,
% 77.99/49.86 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15773,plain,
% 77.99/49.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 77.99/49.86 inference(monotonicity,[status(thm)],[15772])).
% 77.99/49.86 tff(15774,plain,
% 77.99/49.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 77.99/49.86 inference(transitivity,[status(thm)],[15773, 15771])).
% 77.99/49.86 tff(15775,plain,
% 77.99/49.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15776,plain,
% 77.99/49.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 77.99/49.86 tff(15777,plain,
% 77.99/49.86 (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1))),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15776, 1061, 15770])).
% 77.99/49.86 tff(15778,plain,
% 77.99/49.86 (v90(constB124, bitIndex1)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15777, 15663])).
% 77.99/49.86 tff(15779,plain,
% 77.99/49.86 ((~v1(constB125)) <=> (~v1(constB125))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15780,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 77.99/49.86 tff(15781,plain,
% 77.99/49.86 (~v1(constB125)),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 77.99/49.86 tff(15782,plain,
% 77.99/49.86 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15783,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 77.99/49.86 tff(15784,plain,
% 77.99/49.86 (nextState(constB124, constB125)),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15783, 15782])).
% 77.99/49.86 tff(15785,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15786,plain,
% 77.99/49.86 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15787,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 77.99/49.86 inference(monotonicity,[status(thm)],[15786])).
% 77.99/49.86 tff(15788,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 77.99/49.86 inference(transitivity,[status(thm)],[15787, 15785])).
% 77.99/49.86 tff(15789,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15790,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 77.99/49.86 tff(15791,plain,
% 77.99/49.86 (~v101(constB125)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15790, 307, 15784, 15781])).
% 77.99/49.86 tff(15792,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15793,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15794,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 77.99/49.86 tff(15795,plain,
% 77.99/49.86 (v101(constB125) | (~v100(constB125))),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15794, 324, 15784])).
% 77.99/49.86 tff(15796,plain,
% 77.99/49.86 (~v100(constB125)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15795, 15791])).
% 77.99/49.86 tff(15797,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15798,plain,
% 77.99/49.86 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15799,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 77.99/49.86 inference(monotonicity,[status(thm)],[15798])).
% 77.99/49.86 tff(15800,plain,
% 77.99/49.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 77.99/49.86 inference(transitivity,[status(thm)],[15799, 15797])).
% 77.99/49.86 tff(15801,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15802,plain,
% 77.99/49.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 77.99/49.86 tff(15803,plain,
% 77.99/49.86 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15802, 1079, 15784])).
% 77.99/49.86 tff(15804,plain,
% 77.99/49.86 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15803, 15796])).
% 77.99/49.86 tff(15805,plain,
% 77.99/49.86 (v90(constB125, bitIndex1)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15804, 15778])).
% 77.99/49.86 tff(15806,plain,
% 77.99/49.86 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15807,plain,
% 77.99/49.86 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15808,plain,
% 77.99/49.86 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2))),
% 77.99/49.86 inference(modus_ponens,[status(thm)],[15807, 15806])).
% 77.99/49.86 tff(15809,plain,
% 77.99/49.86 (~v130(constB123, bitIndex2)),
% 77.99/49.86 inference(unit_resolution,[status(thm)],[15808, 872, 15642])).
% 77.99/49.86 tff(15810,plain,
% 77.99/49.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15811,plain,
% 77.99/49.86 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 77.99/49.86 inference(rewrite,[status(thm)],[])).
% 77.99/49.86 tff(15812,plain,
% 77.99/49.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 77.99/49.86 inference(monotonicity,[status(thm)],[15811])).
% 77.99/49.86 tff(15813,plain,
% 77.99/49.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 77.99/49.86 inference(transitivity,[status(thm)],[15812, 15810])).
% 77.99/49.86 tff(15814,plain,
% 77.99/49.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 77.99/49.86 inference(quant_inst,[status(thm)],[])).
% 77.99/49.86 tff(15815,plain,
% 77.99/49.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 77.99/49.87 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 77.99/49.87 tff(15816,plain,
% 77.99/49.87 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15815, 430, 15650])).
% 77.99/49.87 tff(15817,plain,
% 77.99/49.87 (~v127(constB123, bitIndex2)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15816, 15809])).
% 77.99/49.87 tff(15818,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15819,plain,
% 77.99/49.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 77.99/49.87 inference(quant_inst,[status(thm)],[])).
% 77.99/49.87 tff(15820,plain,
% 77.99/49.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 77.99/49.87 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 77.99/49.87 tff(15821,plain,
% 77.99/49.87 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15820, 451, 15658])).
% 77.99/49.87 tff(15822,plain,
% 77.99/49.87 (~v129(constB124, bitIndex2)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15821, 15817])).
% 77.99/49.87 tff(15823,plain,
% 77.99/49.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15824,plain,
% 77.99/49.87 (((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15825,plain,
% 77.99/49.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))))),
% 77.99/49.87 inference(monotonicity,[status(thm)],[15824])).
% 77.99/49.87 tff(15826,plain,
% 77.99/49.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 77.99/49.87 inference(transitivity,[status(thm)],[15825, 15823])).
% 77.99/49.87 tff(15827,plain,
% 77.99/49.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))),
% 77.99/49.87 inference(quant_inst,[status(thm)],[])).
% 77.99/49.87 tff(15828,plain,
% 77.99/49.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 77.99/49.87 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 77.99/49.87 tff(15829,plain,
% 77.99/49.87 ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15828, 655, 15770])).
% 77.99/49.87 tff(15830,plain,
% 77.99/49.87 (~v90(constB124, bitIndex2)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15829, 15822])).
% 77.99/49.87 tff(15831,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15832,plain,
% 77.99/49.87 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15833,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 77.99/49.87 inference(monotonicity,[status(thm)],[15832])).
% 77.99/49.87 tff(15834,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 77.99/49.87 inference(transitivity,[status(thm)],[15833, 15831])).
% 77.99/49.87 tff(15835,plain,
% 77.99/49.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 77.99/49.87 inference(quant_inst,[status(thm)],[])).
% 77.99/49.87 tff(15836,plain,
% 77.99/49.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 77.99/49.87 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 77.99/49.87 tff(15837,plain,
% 77.99/49.87 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15836, 339, 15784])).
% 77.99/49.87 tff(15838,plain,
% 77.99/49.87 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15837, 15796])).
% 77.99/49.87 tff(15839,plain,
% 77.99/49.87 (~v90(constB125, bitIndex2)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15838, 15830])).
% 77.99/49.87 tff(15840,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15841,plain,
% 77.99/49.87 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15842,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 77.99/49.87 inference(monotonicity,[status(thm)],[15841])).
% 77.99/49.87 tff(15843,plain,
% 77.99/49.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 77.99/49.87 inference(transitivity,[status(thm)],[15842, 15840])).
% 77.99/49.87 tff(15844,plain,
% 77.99/49.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 77.99/49.87 inference(quant_inst,[status(thm)],[])).
% 77.99/49.87 tff(15845,plain,
% 77.99/49.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 77.99/49.87 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 77.99/49.87 tff(15846,plain,
% 77.99/49.87 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15845, 381, 15784])).
% 77.99/49.87 tff(15847,plain,
% 77.99/49.87 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15846, 15796])).
% 77.99/49.87 tff(15848,plain,
% 77.99/49.87 (~v90(constB125, bitIndex0)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15847, 15762])).
% 77.99/49.87 tff(15849,plain,
% 77.99/49.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15850,plain,
% 77.99/49.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 77.99/49.87 inference(quant_inst,[status(thm)],[])).
% 77.99/49.87 tff(15851,plain,
% 77.99/49.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 77.99/49.87 inference(modus_ponens,[status(thm)],[15850, 15849])).
% 77.99/49.87 tff(15852,plain,
% 77.99/49.87 ((~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15851, 1172, 15848])).
% 77.99/49.87 tff(15853,plain,
% 77.99/49.87 (v121(constB125)),
% 77.99/49.87 inference(unit_resolution,[status(thm)],[15852, 15839, 15805])).
% 77.99/49.87 tff(15854,plain,
% 77.99/49.87 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1))),
% 77.99/49.87 inference(rewrite,[status(thm)],[])).
% 77.99/49.87 tff(15855,plain,
% 77.99/49.87 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15856,plain,
% 77.99/49.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 77.99/49.88 tff(15857,plain,
% 77.99/49.88 (v130(constB125, bitIndex1)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15856, 1321, 15853])).
% 77.99/49.88 tff(15858,assumption,(v26(constB125)), introduced(assumption)).
% 77.99/49.88 tff(15859,plain,
% 77.99/49.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15860,plain,
% 77.99/49.88 ($false),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15859, 14, 15858])).
% 77.99/49.88 tff(15861,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 77.99/49.88 tff(15862,plain,
% 77.99/49.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15863,plain,
% 77.99/49.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15864,plain,
% 77.99/49.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15863, 15862])).
% 77.99/49.88 tff(15865,plain,
% 77.99/49.88 ((~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15864, 1031, 15861])).
% 77.99/49.88 tff(15866,plain,
% 77.99/49.88 (v127(constB125, bitIndex1)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15865, 15857])).
% 77.99/49.88 tff(15867,plain,
% 77.99/49.88 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15868,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 77.99/49.88 tff(15869,plain,
% 77.99/49.88 (nextState(constB125, constB126)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 77.99/49.88 tff(15870,plain,
% 77.99/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15871,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15872,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15871, 15870])).
% 77.99/49.88 tff(15873,plain,
% 77.99/49.88 ((~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15872, 1046, 15869])).
% 77.99/49.88 tff(15874,plain,
% 77.99/49.88 (v129(constB126, bitIndex1)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15873, 15866])).
% 77.99/49.88 tff(15875,assumption,(v121(constB125)), introduced(assumption)).
% 77.99/49.88 tff(15876,plain,
% 77.99/49.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15877,plain,
% 77.99/49.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15878,plain,
% 77.99/49.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 77.99/49.88 tff(15879,plain,
% 77.99/49.88 (v130(constB125, bitIndex0)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15878, 1362, 15875])).
% 77.99/49.88 tff(15880,plain,
% 77.99/49.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15881,plain,
% 77.99/49.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15882,plain,
% 77.99/49.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15881, 15880])).
% 77.99/49.88 tff(15883,plain,
% 77.99/49.88 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15882, 788, 15861])).
% 77.99/49.88 tff(15884,plain,
% 77.99/49.88 (v127(constB125, bitIndex0)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15883, 15879])).
% 77.99/49.88 tff(15885,plain,
% 77.99/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15886,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15887,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15886, 15885])).
% 77.99/49.88 tff(15888,plain,
% 77.99/49.88 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15887, 803, 15869])).
% 77.99/49.88 tff(15889,plain,
% 77.99/49.88 (v129(constB126, bitIndex0)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15888, 15884])).
% 77.99/49.88 tff(15890,assumption,(~v90(constB126, bitIndex0)), introduced(assumption)).
% 77.99/49.88 tff(15891,plain,
% 77.99/49.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15892,plain,
% 77.99/49.88 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15893,plain,
% 77.99/49.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 77.99/49.88 inference(monotonicity,[status(thm)],[15892])).
% 77.99/49.88 tff(15894,plain,
% 77.99/49.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 77.99/49.88 inference(transitivity,[status(thm)],[15893, 15891])).
% 77.99/49.88 tff(15895,plain,
% 77.99/49.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15896,plain,
% 77.99/49.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15895, 15894])).
% 77.99/49.88 tff(15897,plain,
% 77.99/49.88 ((~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15896, 818, 15890])).
% 77.99/49.88 tff(15898,plain,
% 77.99/49.88 (~v100(constB126)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15897, 15889])).
% 77.99/49.88 tff(15899,plain,
% 77.99/49.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15900,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15901,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 77.99/49.88 tff(15902,plain,
% 77.99/49.88 (~v104(constB126)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15901, 589, 15869, 15781])).
% 77.99/49.88 tff(15903,plain,
% 77.99/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15904,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 77.99/49.88 inference(quant_inst,[status(thm)],[])).
% 77.99/49.88 tff(15905,plain,
% 77.99/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 77.99/49.88 tff(15906,plain,
% 77.99/49.88 (v102(constB126) | v104(constB126)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15905, 603, 15869])).
% 77.99/49.88 tff(15907,plain,
% 77.99/49.88 (v102(constB126)),
% 77.99/49.88 inference(unit_resolution,[status(thm)],[15906, 15902])).
% 77.99/49.88 tff(15908,plain,
% 77.99/49.88 (v1(constB126) <=> v1(constB126)),
% 77.99/49.88 inference(rewrite,[status(thm)],[])).
% 77.99/49.88 tff(15909,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 77.99/49.88 tff(15910,plain,
% 77.99/49.88 (v1(constB126)),
% 77.99/49.88 inference(modus_ponens,[status(thm)],[15909, 15908])).
% 77.99/49.88 tff(15911,plain,
% 77.99/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 78.06/49.88 inference(rewrite,[status(thm)],[])).
% 78.06/49.88 tff(15912,plain,
% 78.06/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 78.06/49.88 inference(quant_inst,[status(thm)],[])).
% 78.06/49.88 tff(15913,plain,
% 78.06/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 78.06/49.88 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 78.06/49.88 tff(15914,plain,
% 78.06/49.88 (v101(constB126) | (~v102(constB126))),
% 78.06/49.88 inference(unit_resolution,[status(thm)],[15913, 621, 15869, 15910])).
% 78.06/49.88 tff(15915,plain,
% 78.06/49.88 (v101(constB126)),
% 78.06/49.88 inference(unit_resolution,[status(thm)],[15914, 15907])).
% 78.06/49.88 tff(15916,plain,
% 78.06/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 78.06/49.88 inference(rewrite,[status(thm)],[])).
% 78.06/49.88 tff(15917,plain,
% 78.06/49.88 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 78.06/49.88 inference(rewrite,[status(thm)],[])).
% 78.06/49.88 tff(15918,plain,
% 78.06/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 78.06/49.88 inference(monotonicity,[status(thm)],[15917])).
% 78.06/49.88 tff(15919,plain,
% 78.06/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 78.06/49.88 inference(transitivity,[status(thm)],[15918, 15916])).
% 78.06/49.88 tff(15920,plain,
% 78.06/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 78.06/49.88 inference(quant_inst,[status(thm)],[])).
% 78.06/49.88 tff(15921,plain,
% 78.06/49.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 78.06/49.88 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 78.06/49.88 tff(15922,plain,
% 78.06/49.88 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 78.06/49.88 inference(unit_resolution,[status(thm)],[15921, 636, 15869])).
% 78.06/49.88 tff(15923,plain,
% 78.06/49.88 (v100(constB126) | (~v110(constB126))),
% 78.06/49.88 inference(unit_resolution,[status(thm)],[15922, 15915])).
% 78.06/49.88 tff(15924,plain,
% 78.06/49.88 (~v110(constB126)),
% 78.06/49.88 inference(unit_resolution,[status(thm)],[15923, 15898])).
% 78.06/49.88 tff(15925,plain,
% 78.06/49.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15926,plain,
% 78.06/49.89 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15927,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 78.06/49.89 inference(monotonicity,[status(thm)],[15926])).
% 78.06/49.89 tff(15928,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 78.06/49.89 inference(transitivity,[status(thm)],[15927, 15925])).
% 78.06/49.89 tff(15929,plain,
% 78.06/49.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15930,plain,
% 78.06/49.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 78.06/49.89 tff(15931,plain,
% 78.06/49.89 (v110(constB126) | (~v108(constB125))),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15930, 571, 15869])).
% 78.06/49.89 tff(15932,plain,
% 78.06/49.89 (~v108(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15931, 15924])).
% 78.06/49.89 tff(15933,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15934,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15935,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15934, 15933])).
% 78.06/49.89 tff(15936,plain,
% 78.06/49.89 (~v112(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15935, 464, 15932])).
% 78.06/49.89 tff(15937,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15938,plain,
% 78.06/49.89 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15939,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 78.06/49.89 inference(monotonicity,[status(thm)],[15938])).
% 78.06/49.89 tff(15940,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 78.06/49.89 inference(transitivity,[status(thm)],[15939, 15937])).
% 78.06/49.89 tff(15941,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15942,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15941, 15940])).
% 78.06/49.89 tff(15943,plain,
% 78.06/49.89 (v112(constB125) | (~v113(constB125))),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15942, 555, 15861])).
% 78.06/49.89 tff(15944,plain,
% 78.06/49.89 (~v113(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15943, 15936])).
% 78.06/49.89 tff(15945,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15946,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15947,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 78.06/49.89 tff(15948,plain,
% 78.06/49.89 (~v114(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15947, 541, 15944])).
% 78.06/49.89 tff(15949,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15950,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15951,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15950, 15949])).
% 78.06/49.89 tff(15952,plain,
% 78.06/49.89 (v117(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15951, 1183, 15875])).
% 78.06/49.89 tff(15953,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15954,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15955,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15954, 15953])).
% 78.06/49.89 tff(15956,plain,
% 78.06/49.89 (v116(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15955, 508, 15952])).
% 78.06/49.89 tff(15957,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15958,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15959,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 78.06/49.89 tff(15960,plain,
% 78.06/49.89 (v115(constB125)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15959, 519, 15956])).
% 78.06/49.89 tff(15961,plain,
% 78.06/49.89 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15962,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15963,plain,
% 78.06/49.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15962, 15961])).
% 78.06/49.89 tff(15964,plain,
% 78.06/49.89 ($false),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15963, 530, 15960, 15948])).
% 78.06/49.89 tff(15965,plain,((~v121(constB125)) | v90(constB126, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.06/49.89 tff(15966,plain,
% 78.06/49.89 (v90(constB126, bitIndex0)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15965, 15853])).
% 78.06/49.89 tff(15967,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15968,plain,
% 78.06/49.89 (((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0))) <=> (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15969,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0))))),
% 78.06/49.89 inference(monotonicity,[status(thm)],[15968])).
% 78.06/49.89 tff(15970,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 78.06/49.89 inference(transitivity,[status(thm)],[15969, 15967])).
% 78.06/49.89 tff(15971,plain,
% 78.06/49.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15972,plain,
% 78.06/49.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15971, 15970])).
% 78.06/49.89 tff(15973,plain,
% 78.06/49.89 (v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0))),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15972, 381, 15869])).
% 78.06/49.89 tff(15974,plain,
% 78.06/49.89 (v100(constB126)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15973, 15966, 15848])).
% 78.06/49.89 tff(15975,plain,
% 78.06/49.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15976,plain,
% 78.06/49.89 ((v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15977,plain,
% 78.06/49.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))))),
% 78.06/49.89 inference(monotonicity,[status(thm)],[15976])).
% 78.06/49.89 tff(15978,plain,
% 78.06/49.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 78.06/49.89 inference(transitivity,[status(thm)],[15977, 15975])).
% 78.06/49.89 tff(15979,plain,
% 78.06/49.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15980,plain,
% 78.06/49.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15979, 15978])).
% 78.06/49.89 tff(15981,plain,
% 78.06/49.89 (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1))),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15980, 1061, 15974])).
% 78.06/49.89 tff(15982,plain,
% 78.06/49.89 (v90(constB126, bitIndex1)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15981, 15874])).
% 78.06/49.89 tff(15983,plain,
% 78.06/49.89 ((~v1(constB127)) <=> (~v1(constB127))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15984,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 78.06/49.89 tff(15985,plain,
% 78.06/49.89 (~v1(constB127)),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 78.06/49.89 tff(15986,plain,
% 78.06/49.89 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15987,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 78.06/49.89 tff(15988,plain,
% 78.06/49.89 (nextState(constB126, constB127)),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 78.06/49.89 tff(15989,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15990,plain,
% 78.06/49.89 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 78.06/49.89 inference(rewrite,[status(thm)],[])).
% 78.06/49.89 tff(15991,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 78.06/49.89 inference(monotonicity,[status(thm)],[15990])).
% 78.06/49.89 tff(15992,plain,
% 78.06/49.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 78.06/49.89 inference(transitivity,[status(thm)],[15991, 15989])).
% 78.06/49.89 tff(15993,plain,
% 78.06/49.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 78.06/49.89 inference(quant_inst,[status(thm)],[])).
% 78.06/49.89 tff(15994,plain,
% 78.06/49.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 78.06/49.89 inference(modus_ponens,[status(thm)],[15993, 15992])).
% 78.06/49.89 tff(15995,plain,
% 78.06/49.89 (~v101(constB127)),
% 78.06/49.89 inference(unit_resolution,[status(thm)],[15994, 307, 15988, 15985])).
% 78.06/49.90 tff(15996,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(15997,plain,
% 78.06/49.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 78.06/49.90 inference(quant_inst,[status(thm)],[])).
% 78.06/49.90 tff(15998,plain,
% 78.06/49.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 78.06/49.90 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 78.06/49.90 tff(15999,plain,
% 78.06/49.90 (v101(constB127) | (~v100(constB127))),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[15998, 324, 15988])).
% 78.06/49.90 tff(16000,plain,
% 78.06/49.90 (~v100(constB127)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[15999, 15995])).
% 78.06/49.90 tff(16001,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16002,plain,
% 78.06/49.90 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16003,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)))),
% 78.06/49.90 inference(monotonicity,[status(thm)],[16002])).
% 78.06/49.90 tff(16004,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 78.06/49.90 inference(transitivity,[status(thm)],[16003, 16001])).
% 78.06/49.90 tff(16005,plain,
% 78.06/49.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))),
% 78.06/49.90 inference(quant_inst,[status(thm)],[])).
% 78.06/49.90 tff(16006,plain,
% 78.06/49.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)),
% 78.06/49.90 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 78.06/49.90 tff(16007,plain,
% 78.06/49.90 ((~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16006, 1079, 15988])).
% 78.06/49.90 tff(16008,plain,
% 78.06/49.90 ((~v90(constB126, bitIndex1)) | v90(constB127, bitIndex1)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16007, 16000])).
% 78.06/49.90 tff(16009,plain,
% 78.06/49.90 (v90(constB127, bitIndex1)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16008, 15982])).
% 78.06/49.90 tff(16010,plain,
% 78.06/49.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16011,plain,
% 78.06/49.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 78.06/49.90 inference(quant_inst,[status(thm)],[])).
% 78.06/49.90 tff(16012,plain,
% 78.06/49.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2))),
% 78.06/49.90 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 78.06/49.90 tff(16013,plain,
% 78.06/49.90 (~v130(constB125, bitIndex2)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16012, 1259, 15853])).
% 78.06/49.90 tff(16014,plain,
% 78.06/49.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16015,plain,
% 78.06/49.90 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16016,plain,
% 78.06/49.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 78.06/49.90 inference(monotonicity,[status(thm)],[16015])).
% 78.06/49.90 tff(16017,plain,
% 78.06/49.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 78.06/49.90 inference(transitivity,[status(thm)],[16016, 16014])).
% 78.06/49.90 tff(16018,plain,
% 78.06/49.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 78.06/49.90 inference(quant_inst,[status(thm)],[])).
% 78.06/49.90 tff(16019,plain,
% 78.06/49.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 78.06/49.90 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 78.06/49.90 tff(16020,plain,
% 78.06/49.90 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16019, 430, 15861])).
% 78.06/49.90 tff(16021,plain,
% 78.06/49.90 (~v127(constB125, bitIndex2)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16020, 16013])).
% 78.06/49.90 tff(16022,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16023,plain,
% 78.06/49.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 78.06/49.90 inference(quant_inst,[status(thm)],[])).
% 78.06/49.90 tff(16024,plain,
% 78.06/49.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 78.06/49.90 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 78.06/49.90 tff(16025,plain,
% 78.06/49.90 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16024, 451, 15869])).
% 78.06/49.90 tff(16026,plain,
% 78.06/49.90 (~v129(constB126, bitIndex2)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16025, 16021])).
% 78.06/49.90 tff(16027,plain,
% 78.06/49.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16028,plain,
% 78.06/49.90 (((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2)) <=> ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16029,plain,
% 78.06/49.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))))),
% 78.06/49.90 inference(monotonicity,[status(thm)],[16028])).
% 78.06/49.90 tff(16030,plain,
% 78.06/49.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 78.06/49.90 inference(transitivity,[status(thm)],[16029, 16027])).
% 78.06/49.90 tff(16031,plain,
% 78.06/49.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))),
% 78.06/49.90 inference(quant_inst,[status(thm)],[])).
% 78.06/49.90 tff(16032,plain,
% 78.06/49.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 78.06/49.90 inference(modus_ponens,[status(thm)],[16031, 16030])).
% 78.06/49.90 tff(16033,plain,
% 78.06/49.90 ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16032, 655, 15974])).
% 78.06/49.90 tff(16034,plain,
% 78.06/49.90 (~v90(constB126, bitIndex2)),
% 78.06/49.90 inference(unit_resolution,[status(thm)],[16033, 16026])).
% 78.06/49.90 tff(16035,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16036,plain,
% 78.06/49.90 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 78.06/49.90 inference(rewrite,[status(thm)],[])).
% 78.06/49.90 tff(16037,plain,
% 78.06/49.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 78.06/49.91 inference(monotonicity,[status(thm)],[16036])).
% 78.06/49.91 tff(16038,plain,
% 78.06/49.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 78.06/49.91 inference(transitivity,[status(thm)],[16037, 16035])).
% 78.06/49.91 tff(16039,plain,
% 78.06/49.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16040,plain,
% 78.06/49.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 78.06/49.91 tff(16041,plain,
% 78.06/49.91 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16040, 339, 15988])).
% 78.06/49.91 tff(16042,plain,
% 78.06/49.91 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16041, 16000])).
% 78.06/49.91 tff(16043,plain,
% 78.06/49.91 (~v90(constB127, bitIndex2)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16042, 16034])).
% 78.06/49.91 tff(16044,plain,
% 78.06/49.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16045,plain,
% 78.06/49.91 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16046,plain,
% 78.06/49.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 78.06/49.91 inference(monotonicity,[status(thm)],[16045])).
% 78.06/49.91 tff(16047,plain,
% 78.06/49.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 78.06/49.91 inference(transitivity,[status(thm)],[16046, 16044])).
% 78.06/49.91 tff(16048,plain,
% 78.06/49.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16049,plain,
% 78.06/49.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16048, 16047])).
% 78.06/49.91 tff(16050,plain,
% 78.06/49.91 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16049, 836, 15988])).
% 78.06/49.91 tff(16051,plain,
% 78.06/49.91 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16050, 16000])).
% 78.06/49.91 tff(16052,plain,
% 78.06/49.91 (v90(constB127, bitIndex0)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16051, 15966])).
% 78.06/49.91 tff(16053,plain,
% 78.06/49.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16054,plain,
% 78.06/49.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16055,plain,
% 78.06/49.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16054, 16053])).
% 78.06/49.91 tff(16056,plain,
% 78.06/49.91 ((~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16055, 1403, 16052])).
% 78.06/49.91 tff(16057,plain,
% 78.06/49.91 (v122(constB127)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16056, 16043, 16009])).
% 78.06/49.91 tff(16058,plain,
% 78.06/49.91 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16059,plain,
% 78.06/49.91 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16060,plain,
% 78.06/49.91 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16059, 16058])).
% 78.06/49.91 tff(16061,plain,
% 78.06/49.91 (~v130(constB127, bitIndex1)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16060, 1594, 16057])).
% 78.06/49.91 tff(16062,assumption,(v26(constB127)), introduced(assumption)).
% 78.06/49.91 tff(16063,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16064,plain,
% 78.06/49.91 ($false),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16063, 14, 16062])).
% 78.06/49.91 tff(16065,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 78.06/49.91 tff(16066,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16067,plain,
% 78.06/49.91 ((v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1))) <=> ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16068,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)))),
% 78.06/49.91 inference(monotonicity,[status(thm)],[16067])).
% 78.06/49.91 tff(16069,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 78.06/49.91 inference(transitivity,[status(thm)],[16068, 16066])).
% 78.06/49.91 tff(16070,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16071,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 78.06/49.91 tff(16072,plain,
% 78.06/49.91 ((~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16071, 714, 16065])).
% 78.06/49.91 tff(16073,plain,
% 78.06/49.91 (~v127(constB127, bitIndex1)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16072, 16061])).
% 78.06/49.91 tff(16074,plain,
% 78.06/49.91 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16075,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 78.06/49.91 tff(16076,plain,
% 78.06/49.91 (nextState(constB127, constB128)),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16075, 16074])).
% 78.06/49.91 tff(16077,plain,
% 78.06/49.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16078,plain,
% 78.06/49.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16079,plain,
% 78.06/49.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 78.06/49.91 tff(16080,plain,
% 78.06/49.91 (v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16079, 732, 16076])).
% 78.06/49.91 tff(16081,plain,
% 78.06/49.91 (~v129(constB128, bitIndex1)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16080, 16073])).
% 78.06/49.91 tff(16082,assumption,(v122(constB127)), introduced(assumption)).
% 78.06/49.91 tff(16083,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127)))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16084,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16085,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 78.06/49.91 tff(16086,plain,
% 78.06/49.91 (v116(constB127)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16085, 1470, 16082])).
% 78.06/49.91 tff(16087,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127)))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16088,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16089,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 78.06/49.91 tff(16090,plain,
% 78.06/49.91 (v115(constB127)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16089, 519, 16086])).
% 78.06/49.91 tff(16091,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127)))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16092,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16093,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 78.06/49.91 tff(16094,plain,
% 78.06/49.91 (v114(constB127)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16093, 530, 16090])).
% 78.06/49.91 tff(16095,plain,
% 78.06/49.91 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16096,plain,
% 78.06/49.91 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 78.06/49.91 inference(quant_inst,[status(thm)],[])).
% 78.06/49.91 tff(16097,plain,
% 78.06/49.91 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0))),
% 78.06/49.91 inference(modus_ponens,[status(thm)],[16096, 16095])).
% 78.06/49.91 tff(16098,plain,
% 78.06/49.91 (~v130(constB127, bitIndex0)),
% 78.06/49.91 inference(unit_resolution,[status(thm)],[16097, 1638, 16082])).
% 78.06/49.91 tff(16099,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16100,plain,
% 78.06/49.91 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 78.06/49.91 inference(rewrite,[status(thm)],[])).
% 78.06/49.91 tff(16101,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 78.06/49.91 inference(monotonicity,[status(thm)],[16100])).
% 78.06/49.91 tff(16102,plain,
% 78.06/49.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 78.06/49.91 inference(transitivity,[status(thm)],[16101, 16099])).
% 78.06/49.91 tff(16103,plain,
% 78.06/49.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16104,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16103, 16102])).
% 78.06/49.92 tff(16105,plain,
% 78.06/49.92 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16104, 1112, 16065])).
% 78.06/49.92 tff(16106,plain,
% 78.06/49.92 (~v127(constB127, bitIndex0)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16105, 16098])).
% 78.06/49.92 tff(16107,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16108,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16109,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 78.06/49.92 tff(16110,plain,
% 78.06/49.92 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16109, 1130, 16076])).
% 78.06/49.92 tff(16111,plain,
% 78.06/49.92 (~v129(constB128, bitIndex0)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16110, 16106])).
% 78.06/49.92 tff(16112,assumption,(v90(constB128, bitIndex0)), introduced(assumption)).
% 78.06/49.92 tff(16113,plain,
% 78.06/49.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16114,plain,
% 78.06/49.92 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16115,plain,
% 78.06/49.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 78.06/49.92 inference(monotonicity,[status(thm)],[16114])).
% 78.06/49.92 tff(16116,plain,
% 78.06/49.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 78.06/49.92 inference(transitivity,[status(thm)],[16115, 16113])).
% 78.06/49.92 tff(16117,plain,
% 78.06/49.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16118,plain,
% 78.06/49.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16117, 16116])).
% 78.06/49.92 tff(16119,plain,
% 78.06/49.92 (v129(constB128, bitIndex0) | (~v100(constB128))),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16118, 1145, 16112])).
% 78.06/49.92 tff(16120,plain,
% 78.06/49.92 (~v100(constB128)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16119, 16111])).
% 78.06/49.92 tff(16121,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16122,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16123,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 78.06/49.92 tff(16124,plain,
% 78.06/49.92 (~v104(constB128)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16123, 589, 16076, 15985])).
% 78.06/49.92 tff(16125,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16126,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16127,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16126, 16125])).
% 78.06/49.92 tff(16128,plain,
% 78.06/49.92 (v102(constB128) | v104(constB128)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16127, 603, 16076])).
% 78.06/49.92 tff(16129,plain,
% 78.06/49.92 (v102(constB128)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16128, 16124])).
% 78.06/49.92 tff(16130,plain,
% 78.06/49.92 (v1(constB128) <=> v1(constB128)),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16131,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 78.06/49.92 tff(16132,plain,
% 78.06/49.92 (v1(constB128)),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 78.06/49.92 tff(16133,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16134,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16135,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 78.06/49.92 tff(16136,plain,
% 78.06/49.92 (v101(constB128) | (~v102(constB128))),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16135, 621, 16076, 16132])).
% 78.06/49.92 tff(16137,plain,
% 78.06/49.92 (v101(constB128)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16136, 16129])).
% 78.06/49.92 tff(16138,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16139,plain,
% 78.06/49.92 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16140,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 78.06/49.92 inference(monotonicity,[status(thm)],[16139])).
% 78.06/49.92 tff(16141,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 78.06/49.92 inference(transitivity,[status(thm)],[16140, 16138])).
% 78.06/49.92 tff(16142,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16143,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 78.06/49.92 tff(16144,plain,
% 78.06/49.92 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16143, 636, 16076])).
% 78.06/49.92 tff(16145,plain,
% 78.06/49.92 (v100(constB128) | (~v110(constB128))),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16144, 16137])).
% 78.06/49.92 tff(16146,plain,
% 78.06/49.92 (~v110(constB128)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16145, 16120])).
% 78.06/49.92 tff(16147,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16148,plain,
% 78.06/49.92 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16149,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 78.06/49.92 inference(monotonicity,[status(thm)],[16148])).
% 78.06/49.92 tff(16150,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 78.06/49.92 inference(transitivity,[status(thm)],[16149, 16147])).
% 78.06/49.92 tff(16151,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16152,plain,
% 78.06/49.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 78.06/49.92 tff(16153,plain,
% 78.06/49.92 (v110(constB128) | (~v108(constB127))),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16152, 571, 16076])).
% 78.06/49.92 tff(16154,plain,
% 78.06/49.92 (~v108(constB127)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16153, 16146])).
% 78.06/49.92 tff(16155,plain,
% 78.06/49.92 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16156,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16157,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 78.06/49.92 tff(16158,plain,
% 78.06/49.92 (~v112(constB127)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16157, 464, 16154])).
% 78.06/49.92 tff(16159,plain,
% 78.06/49.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16160,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16161,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127)),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 78.06/49.92 tff(16162,plain,
% 78.06/49.92 ((~v113(constB127)) | v112(constB127)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16161, 555, 16065])).
% 78.06/49.92 tff(16163,plain,
% 78.06/49.92 (~v113(constB127)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16162, 16158])).
% 78.06/49.92 tff(16164,plain,
% 78.06/49.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127)))),
% 78.06/49.92 inference(rewrite,[status(thm)],[])).
% 78.06/49.92 tff(16165,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))),
% 78.06/49.92 inference(quant_inst,[status(thm)],[])).
% 78.06/49.92 tff(16166,plain,
% 78.06/49.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127))),
% 78.06/49.92 inference(modus_ponens,[status(thm)],[16165, 16164])).
% 78.06/49.92 tff(16167,plain,
% 78.06/49.92 ($false),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16166, 541, 16163, 16094])).
% 78.06/49.92 tff(16168,plain,((~v122(constB127)) | (~v90(constB128, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 78.06/49.92 tff(16169,plain,
% 78.06/49.92 (~v90(constB128, bitIndex0)),
% 78.06/49.92 inference(unit_resolution,[status(thm)],[16168, 16057])).
% 78.06/49.92 tff(16170,plain,
% 78.06/49.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16171,plain,
% 78.06/49.93 (((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0)) <=> ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16172,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0)))),
% 78.06/49.93 inference(monotonicity,[status(thm)],[16171])).
% 78.06/49.93 tff(16173,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 78.06/49.93 inference(transitivity,[status(thm)],[16172, 16170])).
% 78.06/49.93 tff(16174,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16175,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0)),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 78.06/49.93 tff(16176,plain,
% 78.06/49.93 ((~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16175, 836, 16076])).
% 78.06/49.93 tff(16177,plain,
% 78.06/49.93 (v100(constB128)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16176, 16169, 16052])).
% 78.06/49.93 tff(16178,plain,
% 78.06/49.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16179,plain,
% 78.06/49.93 (((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16180,plain,
% 78.06/49.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))))),
% 78.06/49.93 inference(monotonicity,[status(thm)],[16179])).
% 78.06/49.93 tff(16181,plain,
% 78.06/49.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 78.06/49.93 inference(transitivity,[status(thm)],[16180, 16178])).
% 78.06/49.93 tff(16182,plain,
% 78.06/49.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16183,plain,
% 78.06/49.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 78.06/49.93 tff(16184,plain,
% 78.06/49.93 ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16183, 747, 16177])).
% 78.06/49.93 tff(16185,plain,
% 78.06/49.93 (~v90(constB128, bitIndex1)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16184, 16081])).
% 78.06/49.93 tff(16186,plain,
% 78.06/49.93 ((~v1(constB129)) <=> (~v1(constB129))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16187,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 78.06/49.93 tff(16188,plain,
% 78.06/49.93 (~v1(constB129)),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 78.06/49.93 tff(16189,plain,
% 78.06/49.93 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16190,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 78.06/49.93 tff(16191,plain,
% 78.06/49.93 (nextState(constB128, constB129)),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 78.06/49.93 tff(16192,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16193,plain,
% 78.06/49.93 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16194,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 78.06/49.93 inference(monotonicity,[status(thm)],[16193])).
% 78.06/49.93 tff(16195,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 78.06/49.93 inference(transitivity,[status(thm)],[16194, 16192])).
% 78.06/49.93 tff(16196,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16197,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 78.06/49.93 tff(16198,plain,
% 78.06/49.93 (~v101(constB129)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16197, 307, 16191, 16188])).
% 78.06/49.93 tff(16199,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16200,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16201,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 78.06/49.93 tff(16202,plain,
% 78.06/49.93 (v101(constB129) | (~v100(constB129))),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16201, 324, 16191])).
% 78.06/49.93 tff(16203,plain,
% 78.06/49.93 (~v100(constB129)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16202, 16198])).
% 78.06/49.93 tff(16204,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16205,plain,
% 78.06/49.93 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16206,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))))),
% 78.06/49.93 inference(monotonicity,[status(thm)],[16205])).
% 78.06/49.93 tff(16207,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 78.06/49.93 inference(transitivity,[status(thm)],[16206, 16204])).
% 78.06/49.93 tff(16208,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16209,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 78.06/49.93 tff(16210,plain,
% 78.06/49.93 (v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16209, 360, 16191])).
% 78.06/49.93 tff(16211,plain,
% 78.06/49.93 (v90(constB128, bitIndex1) | (~v90(constB129, bitIndex1))),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16210, 16203])).
% 78.06/49.93 tff(16212,plain,
% 78.06/49.93 (~v90(constB129, bitIndex1)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16211, 16185])).
% 78.06/49.93 tff(16213,plain,
% 78.06/49.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16214,plain,
% 78.06/49.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16215,plain,
% 78.06/49.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2)),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 78.06/49.93 tff(16216,plain,
% 78.06/49.93 (v130(constB127, bitIndex2)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16215, 1417, 16057])).
% 78.06/49.93 tff(16217,plain,
% 78.06/49.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16218,plain,
% 78.06/49.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16219,plain,
% 78.06/49.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16218, 16217])).
% 78.06/49.93 tff(16220,plain,
% 78.06/49.93 ((~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16219, 1431, 16065])).
% 78.06/49.93 tff(16221,plain,
% 78.06/49.93 (v127(constB127, bitIndex2)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16220, 16216])).
% 78.06/49.93 tff(16222,plain,
% 78.06/49.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16223,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 78.06/49.93 inference(quant_inst,[status(thm)],[])).
% 78.06/49.93 tff(16224,plain,
% 78.06/49.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 78.06/49.93 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 78.06/49.93 tff(16225,plain,
% 78.06/49.93 ((~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16224, 1449, 16076])).
% 78.06/49.93 tff(16226,plain,
% 78.06/49.93 (v129(constB128, bitIndex2)),
% 78.06/49.93 inference(unit_resolution,[status(thm)],[16225, 16221])).
% 78.06/49.93 tff(16227,plain,
% 78.06/49.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16228,plain,
% 78.06/49.93 ((v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 78.06/49.93 inference(rewrite,[status(thm)],[])).
% 78.06/49.93 tff(16229,plain,
% 78.06/49.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))))),
% 78.06/49.94 inference(monotonicity,[status(thm)],[16228])).
% 78.06/49.94 tff(16230,plain,
% 78.06/49.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 78.06/49.94 inference(transitivity,[status(thm)],[16229, 16227])).
% 78.06/49.94 tff(16231,plain,
% 78.06/49.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16232,plain,
% 78.06/49.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 78.06/49.94 tff(16233,plain,
% 78.06/49.94 (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2))),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16232, 1539, 16177])).
% 78.06/49.94 tff(16234,plain,
% 78.06/49.94 (v90(constB128, bitIndex2)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16233, 16226])).
% 78.06/49.94 tff(16235,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16236,plain,
% 78.06/49.94 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16237,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)))),
% 78.06/49.94 inference(monotonicity,[status(thm)],[16236])).
% 78.06/49.94 tff(16238,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 78.06/49.94 inference(transitivity,[status(thm)],[16237, 16235])).
% 78.06/49.94 tff(16239,plain,
% 78.06/49.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16240,plain,
% 78.06/49.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16239, 16238])).
% 78.06/49.94 tff(16241,plain,
% 78.06/49.94 ((~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16240, 1575, 16191])).
% 78.06/49.94 tff(16242,plain,
% 78.06/49.94 ((~v90(constB128, bitIndex2)) | v90(constB129, bitIndex2)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16241, 16203])).
% 78.06/49.94 tff(16243,plain,
% 78.06/49.94 (v90(constB129, bitIndex2)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16242, 16234])).
% 78.06/49.94 tff(16244,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16245,plain,
% 78.06/49.94 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16246,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 78.06/49.94 inference(monotonicity,[status(thm)],[16245])).
% 78.06/49.94 tff(16247,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 78.06/49.94 inference(transitivity,[status(thm)],[16246, 16244])).
% 78.06/49.94 tff(16248,plain,
% 78.06/49.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16249,plain,
% 78.06/49.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 78.06/49.94 tff(16250,plain,
% 78.06/49.94 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16249, 381, 16191])).
% 78.06/49.94 tff(16251,plain,
% 78.06/49.94 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16250, 16203])).
% 78.06/49.94 tff(16252,plain,
% 78.06/49.94 (~v90(constB129, bitIndex0)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16251, 16169])).
% 78.06/49.94 tff(16253,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16254,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16255,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 78.06/49.94 tff(16256,plain,
% 78.06/49.94 (v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16255, 1682, 16252])).
% 78.06/49.94 tff(16257,plain,
% 78.06/49.94 (v123(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16256, 16243, 16212])).
% 78.06/49.94 tff(16258,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16259,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16260,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 78.06/49.94 tff(16261,plain,
% 78.06/49.94 (v115(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16260, 1693, 16257])).
% 78.06/49.94 tff(16262,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16263,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16264,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 78.06/49.94 tff(16265,plain,
% 78.06/49.94 (v114(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16264, 530, 16261])).
% 78.06/49.94 tff(16266,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16267,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16268,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 78.06/49.94 tff(16269,plain,
% 78.06/49.94 (v113(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16268, 541, 16265])).
% 78.06/49.94 tff(16270,assumption,(v26(constB129)), introduced(assumption)).
% 78.06/49.94 tff(16271,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16272,plain,
% 78.06/49.94 ($false),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16271, 14, 16270])).
% 78.06/49.94 tff(16273,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 78.06/49.94 tff(16274,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16275,plain,
% 78.06/49.94 ((v26(constB129) | (~v113(constB129)) | v112(constB129)) <=> (v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16276,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129))))),
% 78.06/49.94 inference(monotonicity,[status(thm)],[16275])).
% 78.06/49.94 tff(16277,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 78.06/49.94 inference(transitivity,[status(thm)],[16276, 16274])).
% 78.06/49.94 tff(16278,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16279,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16278, 16277])).
% 78.06/49.94 tff(16280,plain,
% 78.06/49.94 (v112(constB129) | (~v113(constB129))),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16279, 555, 16273])).
% 78.06/49.94 tff(16281,plain,
% 78.06/49.94 (v112(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16280, 16269])).
% 78.06/49.94 tff(16282,plain,
% 78.06/49.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16283,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16284,plain,
% 78.06/49.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 78.06/49.94 tff(16285,plain,
% 78.06/49.94 (v108(constB129)),
% 78.06/49.94 inference(unit_resolution,[status(thm)],[16284, 464, 16281])).
% 78.06/49.94 tff(16286,plain,
% 78.06/49.94 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16287,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 78.06/49.94 tff(16288,plain,
% 78.06/49.94 (nextState(constB129, constB130)),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16287, 16286])).
% 78.06/49.94 tff(16289,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16290,plain,
% 78.06/49.94 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 78.06/49.94 inference(rewrite,[status(thm)],[])).
% 78.06/49.94 tff(16291,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 78.06/49.94 inference(monotonicity,[status(thm)],[16290])).
% 78.06/49.94 tff(16292,plain,
% 78.06/49.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 78.06/49.94 inference(transitivity,[status(thm)],[16291, 16289])).
% 78.06/49.94 tff(16293,plain,
% 78.06/49.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 78.06/49.94 inference(quant_inst,[status(thm)],[])).
% 78.06/49.94 tff(16294,plain,
% 78.06/49.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 78.06/49.94 inference(modus_ponens,[status(thm)],[16293, 16292])).
% 78.06/49.95 tff(16295,plain,
% 78.06/49.95 (v110(constB130) | (~v108(constB129))),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16294, 571, 16288])).
% 78.06/49.95 tff(16296,plain,
% 78.06/49.95 (v110(constB130)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16295, 16285])).
% 78.06/49.95 tff(16297,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16298,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16299,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 78.06/49.95 tff(16300,plain,
% 78.06/49.95 (~v104(constB130)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16299, 589, 16288, 16188])).
% 78.06/49.95 tff(16301,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16302,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16303,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16302, 16301])).
% 78.06/49.95 tff(16304,plain,
% 78.06/49.95 (v102(constB130) | v104(constB130)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16303, 603, 16288])).
% 78.06/49.95 tff(16305,plain,
% 78.06/49.95 (v102(constB130)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16304, 16300])).
% 78.06/49.95 tff(16306,plain,
% 78.06/49.95 (v1(constB130) <=> v1(constB130)),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16307,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 78.06/49.95 tff(16308,plain,
% 78.06/49.95 (v1(constB130)),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 78.06/49.95 tff(16309,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16310,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16311,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16310, 16309])).
% 78.06/49.95 tff(16312,plain,
% 78.06/49.95 (v101(constB130) | (~v102(constB130))),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16311, 621, 16288, 16308])).
% 78.06/49.95 tff(16313,plain,
% 78.06/49.95 (v101(constB130)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16312, 16305])).
% 78.06/49.95 tff(16314,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16315,plain,
% 78.06/49.95 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16316,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 78.06/49.95 inference(monotonicity,[status(thm)],[16315])).
% 78.06/49.95 tff(16317,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 78.06/49.95 inference(transitivity,[status(thm)],[16316, 16314])).
% 78.06/49.95 tff(16318,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16319,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 78.06/49.95 tff(16320,plain,
% 78.06/49.95 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16319, 636, 16288])).
% 78.06/49.95 tff(16321,plain,
% 78.06/49.95 (v100(constB130) | (~v110(constB130))),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16320, 16313])).
% 78.06/49.95 tff(16322,plain,
% 78.06/49.95 (v100(constB130)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16321, 16296])).
% 78.06/49.95 tff(16323,plain,
% 78.06/49.95 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16324,plain,
% 78.06/49.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16325,plain,
% 78.06/49.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 78.06/49.95 tff(16326,plain,
% 78.06/49.95 (~v130(constB129, bitIndex1)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16325, 1765, 16257])).
% 78.06/49.95 tff(16327,plain,
% 78.06/49.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16328,plain,
% 78.06/49.95 ((v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1))) <=> ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16329,plain,
% 78.06/49.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)))),
% 78.06/49.95 inference(monotonicity,[status(thm)],[16328])).
% 78.06/49.95 tff(16330,plain,
% 78.06/49.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 78.06/49.95 inference(transitivity,[status(thm)],[16329, 16327])).
% 78.06/49.95 tff(16331,plain,
% 78.06/49.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16332,plain,
% 78.06/49.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16331, 16330])).
% 78.06/49.95 tff(16333,plain,
% 78.06/49.95 ((~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16332, 714, 16273])).
% 78.06/49.95 tff(16334,plain,
% 78.06/49.95 (~v127(constB129, bitIndex1)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16333, 16326])).
% 78.06/49.95 tff(16335,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16336,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16337,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16336, 16335])).
% 78.06/49.95 tff(16338,plain,
% 78.06/49.95 (v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16337, 732, 16288])).
% 78.06/49.95 tff(16339,plain,
% 78.06/49.95 (~v129(constB130, bitIndex1)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16338, 16334])).
% 78.06/49.95 tff(16340,plain,
% 78.06/49.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16341,plain,
% 78.06/49.95 (((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16342,plain,
% 78.06/49.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))))),
% 78.06/49.95 inference(monotonicity,[status(thm)],[16341])).
% 78.06/49.95 tff(16343,plain,
% 78.06/49.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 78.06/49.95 inference(transitivity,[status(thm)],[16342, 16340])).
% 78.06/49.95 tff(16344,plain,
% 78.06/49.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16345,plain,
% 78.06/49.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16344, 16343])).
% 78.06/49.95 tff(16346,plain,
% 78.06/49.95 ((~v90(constB130, bitIndex1)) | (~v100(constB130))),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16345, 747, 16339])).
% 78.06/49.95 tff(16347,plain,
% 78.06/49.95 (~v90(constB130, bitIndex1)),
% 78.06/49.95 inference(unit_resolution,[status(thm)],[16346, 16322])).
% 78.06/49.95 tff(16348,plain,
% 78.06/49.95 ((~v1(constB131)) <=> (~v1(constB131))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16349,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 78.06/49.95 tff(16350,plain,
% 78.06/49.95 (~v1(constB131)),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16349, 16348])).
% 78.06/49.95 tff(16351,plain,
% 78.06/49.95 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16352,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 78.06/49.95 tff(16353,plain,
% 78.06/49.95 (nextState(constB130, constB131)),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 78.06/49.95 tff(16354,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16355,plain,
% 78.06/49.95 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 78.06/49.95 inference(rewrite,[status(thm)],[])).
% 78.06/49.95 tff(16356,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 78.06/49.95 inference(monotonicity,[status(thm)],[16355])).
% 78.06/49.95 tff(16357,plain,
% 78.06/49.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 78.06/49.95 inference(transitivity,[status(thm)],[16356, 16354])).
% 78.06/49.95 tff(16358,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 78.06/49.95 inference(quant_inst,[status(thm)],[])).
% 78.06/49.95 tff(16359,plain,
% 78.06/49.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 78.06/49.95 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 78.06/49.95 tff(16360,plain,
% 78.06/49.95 (~v101(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16359, 307, 16353, 16350])).
% 78.06/49.96 tff(16361,plain,
% 78.06/49.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16362,plain,
% 78.06/49.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16363,plain,
% 78.06/49.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16362, 16361])).
% 78.06/49.96 tff(16364,plain,
% 78.06/49.96 (v101(constB131) | (~v100(constB131))),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16363, 324, 16353])).
% 78.06/49.96 tff(16365,plain,
% 78.06/49.96 (~v100(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16364, 16360])).
% 78.06/49.96 tff(16366,plain,
% 78.06/49.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16367,plain,
% 78.06/49.96 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16368,plain,
% 78.06/49.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))))),
% 78.06/49.96 inference(monotonicity,[status(thm)],[16367])).
% 78.06/49.96 tff(16369,plain,
% 78.06/49.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 78.06/49.96 inference(transitivity,[status(thm)],[16368, 16366])).
% 78.06/49.96 tff(16370,plain,
% 78.06/49.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16371,plain,
% 78.06/49.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16370, 16369])).
% 78.06/49.96 tff(16372,plain,
% 78.06/49.96 (v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16371, 360, 16353])).
% 78.06/49.96 tff(16373,plain,
% 78.06/49.96 (v90(constB130, bitIndex1) | (~v90(constB131, bitIndex1))),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16372, 16365])).
% 78.06/49.96 tff(16374,plain,
% 78.06/49.96 (~v90(constB131, bitIndex1)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16373, 16347])).
% 78.06/49.96 tff(16375,assumption,(~v114(constB131)), introduced(assumption)).
% 78.06/49.96 tff(16376,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16377,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16378,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 78.06/49.96 tff(16379,plain,
% 78.06/49.96 (~v115(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16378, 530, 16375])).
% 78.06/49.96 tff(16380,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB131) | (~v123(constB131)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB131) | (~v123(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16381,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB131) | (~v123(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16382,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB131) | (~v123(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 78.06/49.96 tff(16383,plain,
% 78.06/49.96 (~v123(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16382, 1693, 16379])).
% 78.06/49.96 tff(16384,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16385,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16386,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 78.06/49.96 tff(16387,plain,
% 78.06/49.96 (~v116(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16386, 519, 16379])).
% 78.06/49.96 tff(16388,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB131) | (~v117(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16389,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB131) | (~v117(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16390,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB131) | (~v117(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 78.06/49.96 tff(16391,plain,
% 78.06/49.96 (~v117(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16390, 508, 16387])).
% 78.06/49.96 tff(16392,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB131) | (~v118(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16393,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB131) | (~v118(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16394,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB131) | (~v118(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 78.06/49.96 tff(16395,plain,
% 78.06/49.96 (~v118(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16394, 497, 16391])).
% 78.06/49.96 tff(16396,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB131) | (~v120(constB131)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB131) | (~v120(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16397,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB131) | (~v120(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16398,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB131) | (~v120(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 78.06/49.96 tff(16399,plain,
% 78.06/49.96 (~v120(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16398, 908, 16395])).
% 78.06/49.96 tff(16400,assumption,(~v90(constB131, bitIndex1)), introduced(assumption)).
% 78.06/49.96 tff(16401,plain,
% 78.06/49.96 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB131) | (~v119(constB131)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB131) | (~v119(constB131)))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16402,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB131) | (~v119(constB131)))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16403,plain,
% 78.06/49.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB131) | (~v119(constB131))),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 78.06/49.96 tff(16404,plain,
% 78.06/49.96 (~v119(constB131)),
% 78.06/49.96 inference(unit_resolution,[status(thm)],[16403, 486, 16395])).
% 78.06/49.96 tff(16405,assumption,(~v119(constB131)), introduced(assumption)).
% 78.06/49.96 tff(16406,assumption,(~v90(constB131, bitIndex2)), introduced(assumption)).
% 78.06/49.96 tff(16407,assumption,(~v120(constB131)), introduced(assumption)).
% 78.06/49.96 tff(16408,plain,
% 78.06/49.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16409,plain,
% 78.06/49.96 (((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2)) <=> ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 78.06/49.96 inference(rewrite,[status(thm)],[])).
% 78.06/49.96 tff(16410,plain,
% 78.06/49.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131)))),
% 78.06/49.96 inference(monotonicity,[status(thm)],[16409])).
% 78.06/49.96 tff(16411,plain,
% 78.06/49.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 78.06/49.96 inference(transitivity,[status(thm)],[16410, 16408])).
% 78.06/49.96 tff(16412,plain,
% 78.06/49.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))),
% 78.06/49.96 inference(quant_inst,[status(thm)],[])).
% 78.06/49.96 tff(16413,plain,
% 78.06/49.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131)),
% 78.06/49.96 inference(modus_ponens,[status(thm)],[16412, 16411])).
% 78.06/49.96 tff(16414,plain,
% 78.06/49.96 ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex2) | v120(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16413, 855, 16400])).
% 78.14/49.97 tff(16415,plain,
% 78.14/49.97 (~v90(constB131, bitIndex0)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16414, 16406, 16407])).
% 78.14/49.97 tff(16416,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16417,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16418,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16417, 16416])).
% 78.14/49.97 tff(16419,plain,
% 78.14/49.97 (v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex2)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16418, 402, 16400])).
% 78.14/49.97 tff(16420,plain,
% 78.14/49.97 ($false),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16419, 16415, 16406, 16405])).
% 78.14/49.97 tff(16421,plain,(v90(constB131, bitIndex2) | v119(constB131) | v90(constB131, bitIndex1) | v120(constB131)), inference(lemma,lemma(discharge,[]))).
% 78.14/49.97 tff(16422,plain,
% 78.14/49.97 (v90(constB131, bitIndex2)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16421, 16404, 16400, 16399])).
% 78.14/49.97 tff(16423,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16424,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16425,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 78.14/49.97 tff(16426,plain,
% 78.14/49.97 (~v124(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16425, 1951, 16375])).
% 78.14/49.97 tff(16427,plain,
% 78.14/49.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16428,plain,
% 78.14/49.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16429,plain,
% 78.14/49.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16428, 16427])).
% 78.14/49.97 tff(16430,plain,
% 78.14/49.97 ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16429, 1919, 16400])).
% 78.14/49.97 tff(16431,plain,
% 78.14/49.97 (~v90(constB131, bitIndex0)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16430, 16422, 16426])).
% 78.14/49.97 tff(16432,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16433,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16434,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16433, 16432])).
% 78.14/49.97 tff(16435,plain,
% 78.14/49.97 (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex2)) | v123(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16434, 1682, 16400])).
% 78.14/49.97 tff(16436,plain,
% 78.14/49.97 ($false),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16435, 16431, 16422, 16383])).
% 78.14/49.97 tff(16437,plain,(v114(constB131) | v90(constB131, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 78.14/49.97 tff(16438,plain,
% 78.14/49.97 (v114(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16437, 16374])).
% 78.14/49.97 tff(16439,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16440,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16441,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16440, 16439])).
% 78.14/49.97 tff(16442,plain,
% 78.14/49.97 (v113(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16441, 541, 16438])).
% 78.14/49.97 tff(16443,assumption,(~v108(constB131)), introduced(assumption)).
% 78.14/49.97 tff(16444,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16445,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16446,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 78.14/49.97 tff(16447,plain,
% 78.14/49.97 (~v112(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16446, 464, 16443])).
% 78.14/49.97 tff(16448,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB131) | (~v26(constB131)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16449,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB131) | (~v26(constB131)))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16450,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB131) | (~v26(constB131))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 78.14/49.97 tff(16451,plain,
% 78.14/49.97 (~v26(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16450, 475, 16443])).
% 78.14/49.97 tff(16452,assumption,(v113(constB131)), introduced(assumption)).
% 78.14/49.97 tff(16453,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16454,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16455,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 78.14/49.97 tff(16456,plain,
% 78.14/49.97 (v26(constB131) | v112(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16455, 555, 16452])).
% 78.14/49.97 tff(16457,plain,
% 78.14/49.97 ($false),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16456, 16451, 16447])).
% 78.14/49.97 tff(16458,plain,(v108(constB131) | (~v113(constB131))), inference(lemma,lemma(discharge,[]))).
% 78.14/49.97 tff(16459,plain,
% 78.14/49.97 (v108(constB131)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16458, 16442])).
% 78.14/49.97 tff(16460,plain,
% 78.14/49.97 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16461,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 78.14/49.97 tff(16462,plain,
% 78.14/49.97 (nextState(constB131, constB132)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16461, 16460])).
% 78.14/49.97 tff(16463,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16464,plain,
% 78.14/49.97 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16465,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 78.14/49.97 inference(monotonicity,[status(thm)],[16464])).
% 78.14/49.97 tff(16466,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 78.14/49.97 inference(transitivity,[status(thm)],[16465, 16463])).
% 78.14/49.97 tff(16467,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16468,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 78.14/49.97 tff(16469,plain,
% 78.14/49.97 (v110(constB132) | (~v108(constB131))),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16468, 571, 16462])).
% 78.14/49.97 tff(16470,plain,
% 78.14/49.97 (v110(constB132)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16469, 16459])).
% 78.14/49.97 tff(16471,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16472,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16473,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 78.14/49.97 tff(16474,plain,
% 78.14/49.97 (~v104(constB132)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16473, 589, 16462, 16350])).
% 78.14/49.97 tff(16475,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16476,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16477,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16476, 16475])).
% 78.14/49.97 tff(16478,plain,
% 78.14/49.97 (v102(constB132) | v104(constB132)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16477, 603, 16462])).
% 78.14/49.97 tff(16479,plain,
% 78.14/49.97 (v102(constB132)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16478, 16474])).
% 78.14/49.97 tff(16480,plain,
% 78.14/49.97 (v1(constB132) <=> v1(constB132)),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16481,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 78.14/49.97 tff(16482,plain,
% 78.14/49.97 (v1(constB132)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 78.14/49.97 tff(16483,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16484,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16485,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 78.14/49.97 tff(16486,plain,
% 78.14/49.97 (v101(constB132) | (~v102(constB132))),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16485, 621, 16462, 16482])).
% 78.14/49.97 tff(16487,plain,
% 78.14/49.97 (v101(constB132)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16486, 16479])).
% 78.14/49.97 tff(16488,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16489,plain,
% 78.14/49.97 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16490,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 78.14/49.97 inference(monotonicity,[status(thm)],[16489])).
% 78.14/49.97 tff(16491,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 78.14/49.97 inference(transitivity,[status(thm)],[16490, 16488])).
% 78.14/49.97 tff(16492,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16493,plain,
% 78.14/49.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 78.14/49.97 tff(16494,plain,
% 78.14/49.97 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16493, 636, 16462])).
% 78.14/49.97 tff(16495,plain,
% 78.14/49.97 (v100(constB132) | (~v110(constB132))),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16494, 16487])).
% 78.14/49.97 tff(16496,plain,
% 78.14/49.97 (v100(constB132)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16495, 16470])).
% 78.14/49.97 tff(16497,plain,
% 78.14/49.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16498,plain,
% 78.14/49.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16499,plain,
% 78.14/49.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 78.14/49.97 tff(16500,plain,
% 78.14/49.97 (v130(constB129, bitIndex2)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16499, 1877, 16257])).
% 78.14/49.97 tff(16501,plain,
% 78.14/49.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 78.14/49.97 inference(rewrite,[status(thm)],[])).
% 78.14/49.97 tff(16502,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 78.14/49.97 inference(quant_inst,[status(thm)],[])).
% 78.14/49.97 tff(16503,plain,
% 78.14/49.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 78.14/49.97 inference(modus_ponens,[status(thm)],[16502, 16501])).
% 78.14/49.97 tff(16504,plain,
% 78.14/49.97 ((~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16503, 1431, 16273])).
% 78.14/49.97 tff(16505,plain,
% 78.14/49.97 (v127(constB129, bitIndex2)),
% 78.14/49.97 inference(unit_resolution,[status(thm)],[16504, 16500])).
% 78.14/49.97 tff(16506,plain,
% 78.14/49.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16507,plain,
% 78.15/49.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16508,plain,
% 78.15/49.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 78.15/49.98 tff(16509,plain,
% 78.15/49.98 ((~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16508, 1449, 16288])).
% 78.15/49.98 tff(16510,plain,
% 78.15/49.98 (v129(constB130, bitIndex2)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16509, 16505])).
% 78.15/49.98 tff(16511,plain,
% 78.15/49.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16512,plain,
% 78.15/49.98 ((v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16513,plain,
% 78.15/49.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))))),
% 78.15/49.98 inference(monotonicity,[status(thm)],[16512])).
% 78.15/49.98 tff(16514,plain,
% 78.15/49.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 78.15/49.98 inference(transitivity,[status(thm)],[16513, 16511])).
% 78.15/49.98 tff(16515,plain,
% 78.15/49.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16516,plain,
% 78.15/49.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 78.15/49.98 tff(16517,plain,
% 78.15/49.98 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16516, 1539, 16510])).
% 78.15/49.98 tff(16518,plain,
% 78.15/49.98 (v90(constB130, bitIndex2)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16517, 16322])).
% 78.15/49.98 tff(16519,plain,
% 78.15/49.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16520,plain,
% 78.15/49.98 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16521,plain,
% 78.15/49.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)))),
% 78.15/49.98 inference(monotonicity,[status(thm)],[16520])).
% 78.15/49.98 tff(16522,plain,
% 78.15/49.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 78.15/49.98 inference(transitivity,[status(thm)],[16521, 16519])).
% 78.15/49.98 tff(16523,plain,
% 78.15/49.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16524,plain,
% 78.15/49.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 78.15/49.98 tff(16525,plain,
% 78.15/49.98 ((~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16524, 1575, 16353])).
% 78.15/49.98 tff(16526,plain,
% 78.15/49.98 ((~v90(constB130, bitIndex2)) | v90(constB131, bitIndex2)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16525, 16365])).
% 78.15/49.98 tff(16527,plain,
% 78.15/49.98 (v90(constB131, bitIndex2)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16526, 16518])).
% 78.15/49.98 tff(16528,plain,
% 78.15/49.98 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16529,plain,
% 78.15/49.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16530,plain,
% 78.15/49.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0)),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 78.15/49.98 tff(16531,plain,
% 78.15/49.98 (v130(constB129, bitIndex0)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16530, 1836, 16257])).
% 78.15/49.98 tff(16532,plain,
% 78.15/49.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16533,plain,
% 78.15/49.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16534,plain,
% 78.15/49.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 78.15/49.98 tff(16535,plain,
% 78.15/49.98 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16534, 788, 16273])).
% 78.15/49.98 tff(16536,plain,
% 78.15/49.98 (v127(constB129, bitIndex0)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16535, 16531])).
% 78.15/49.98 tff(16537,plain,
% 78.15/49.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16538,plain,
% 78.15/49.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16539,plain,
% 78.15/49.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16538, 16537])).
% 78.15/49.98 tff(16540,plain,
% 78.15/49.98 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16539, 803, 16288])).
% 78.15/49.98 tff(16541,plain,
% 78.15/49.98 (v129(constB130, bitIndex0)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16540, 16536])).
% 78.15/49.98 tff(16542,plain,
% 78.15/49.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16543,plain,
% 78.15/49.98 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 78.15/49.98 inference(rewrite,[status(thm)],[])).
% 78.15/49.98 tff(16544,plain,
% 78.15/49.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 78.15/49.98 inference(monotonicity,[status(thm)],[16543])).
% 78.15/49.98 tff(16545,plain,
% 78.15/49.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 78.15/49.98 inference(transitivity,[status(thm)],[16544, 16542])).
% 78.15/49.98 tff(16546,plain,
% 78.15/49.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 78.15/49.98 inference(quant_inst,[status(thm)],[])).
% 78.15/49.98 tff(16547,plain,
% 78.15/49.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 78.15/49.98 inference(modus_ponens,[status(thm)],[16546, 16545])).
% 78.15/49.98 tff(16548,plain,
% 78.15/49.98 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16547, 818, 16541])).
% 78.15/49.98 tff(16549,plain,
% 78.15/49.98 (v90(constB130, bitIndex0)),
% 78.15/49.98 inference(unit_resolution,[status(thm)],[16548, 16322])).
% 78.15/49.98 tff(16550,plain,
% 78.15/49.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16551,plain,
% 78.15/49.99 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16552,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 78.15/49.99 inference(monotonicity,[status(thm)],[16551])).
% 78.15/49.99 tff(16553,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 78.15/49.99 inference(transitivity,[status(thm)],[16552, 16550])).
% 78.15/49.99 tff(16554,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16555,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16554, 16553])).
% 78.15/49.99 tff(16556,plain,
% 78.15/49.99 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16555, 836, 16353])).
% 78.15/49.99 tff(16557,plain,
% 78.15/49.99 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16556, 16365])).
% 78.15/49.99 tff(16558,plain,
% 78.15/49.99 (v90(constB131, bitIndex0)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16557, 16549])).
% 78.15/49.99 tff(16559,plain,
% 78.15/49.99 (v124(constB131)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16429, 1919, 16558, 16374, 16527])).
% 78.15/49.99 tff(16560,plain,
% 78.15/49.99 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16561,plain,
% 78.15/49.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16562,plain,
% 78.15/49.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 78.15/49.99 tff(16563,plain,
% 78.15/49.99 (v130(constB131, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16562, 2050, 16559])).
% 78.15/49.99 tff(16564,assumption,(v26(constB131)), introduced(assumption)).
% 78.15/49.99 tff(16565,plain,
% 78.15/49.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16566,plain,
% 78.15/49.99 ($false),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16565, 14, 16564])).
% 78.15/49.99 tff(16567,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 78.15/49.99 tff(16568,plain,
% 78.15/49.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16569,plain,
% 78.15/49.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16570,plain,
% 78.15/49.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 78.15/49.99 tff(16571,plain,
% 78.15/49.99 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16570, 1431, 16567])).
% 78.15/49.99 tff(16572,plain,
% 78.15/49.99 (v127(constB131, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16571, 16563])).
% 78.15/49.99 tff(16573,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16574,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16575,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 78.15/49.99 tff(16576,plain,
% 78.15/49.99 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16575, 1449, 16462])).
% 78.15/49.99 tff(16577,plain,
% 78.15/49.99 (v129(constB132, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16576, 16572])).
% 78.15/49.99 tff(16578,plain,
% 78.15/49.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16579,plain,
% 78.15/49.99 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16580,plain,
% 78.15/49.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 78.15/49.99 inference(monotonicity,[status(thm)],[16579])).
% 78.15/49.99 tff(16581,plain,
% 78.15/49.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 78.15/49.99 inference(transitivity,[status(thm)],[16580, 16578])).
% 78.15/49.99 tff(16582,plain,
% 78.15/49.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16583,plain,
% 78.15/49.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16582, 16581])).
% 78.15/49.99 tff(16584,plain,
% 78.15/49.99 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16583, 1539, 16577])).
% 78.15/49.99 tff(16585,plain,
% 78.15/49.99 (v90(constB132, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16584, 16496])).
% 78.15/49.99 tff(16586,plain,
% 78.15/49.99 ((~v1(constB133)) <=> (~v1(constB133))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16587,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 78.15/49.99 tff(16588,plain,
% 78.15/49.99 (~v1(constB133)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 78.15/49.99 tff(16589,plain,
% 78.15/49.99 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16590,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 78.15/49.99 tff(16591,plain,
% 78.15/49.99 (nextState(constB132, constB133)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 78.15/49.99 tff(16592,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16593,plain,
% 78.15/49.99 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16594,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 78.15/49.99 inference(monotonicity,[status(thm)],[16593])).
% 78.15/49.99 tff(16595,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 78.15/49.99 inference(transitivity,[status(thm)],[16594, 16592])).
% 78.15/49.99 tff(16596,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16597,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16596, 16595])).
% 78.15/49.99 tff(16598,plain,
% 78.15/49.99 (~v101(constB133)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16597, 307, 16591, 16588])).
% 78.15/49.99 tff(16599,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16600,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16601,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 78.15/49.99 tff(16602,plain,
% 78.15/49.99 (v101(constB133) | (~v100(constB133))),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16601, 324, 16591])).
% 78.15/49.99 tff(16603,plain,
% 78.15/49.99 (~v100(constB133)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16602, 16598])).
% 78.15/49.99 tff(16604,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16605,plain,
% 78.15/49.99 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 78.15/49.99 inference(rewrite,[status(thm)],[])).
% 78.15/49.99 tff(16606,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 78.15/49.99 inference(monotonicity,[status(thm)],[16605])).
% 78.15/49.99 tff(16607,plain,
% 78.15/49.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 78.15/49.99 inference(transitivity,[status(thm)],[16606, 16604])).
% 78.15/49.99 tff(16608,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 78.15/49.99 inference(quant_inst,[status(thm)],[])).
% 78.15/49.99 tff(16609,plain,
% 78.15/49.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 78.15/49.99 inference(modus_ponens,[status(thm)],[16608, 16607])).
% 78.15/49.99 tff(16610,plain,
% 78.15/49.99 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16609, 1575, 16591])).
% 78.15/49.99 tff(16611,plain,
% 78.15/49.99 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16610, 16603])).
% 78.15/49.99 tff(16612,plain,
% 78.15/49.99 (v90(constB133, bitIndex2)),
% 78.15/49.99 inference(unit_resolution,[status(thm)],[16611, 16585])).
% 78.15/49.99 tff(16613,plain,
% 78.15/50.00 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16614,plain,
% 78.15/50.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16615,plain,
% 78.15/50.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1)),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 78.15/50.00 tff(16616,plain,
% 78.15/50.00 (v130(constB131, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16615, 1936, 16559])).
% 78.15/50.00 tff(16617,plain,
% 78.15/50.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16618,plain,
% 78.15/50.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16619,plain,
% 78.15/50.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16618, 16617])).
% 78.15/50.00 tff(16620,plain,
% 78.15/50.00 ((~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16619, 1031, 16567])).
% 78.15/50.00 tff(16621,plain,
% 78.15/50.00 (v127(constB131, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16620, 16616])).
% 78.15/50.00 tff(16622,plain,
% 78.15/50.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16623,plain,
% 78.15/50.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16624,plain,
% 78.15/50.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16623, 16622])).
% 78.15/50.00 tff(16625,plain,
% 78.15/50.00 ((~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16624, 1046, 16462])).
% 78.15/50.00 tff(16626,plain,
% 78.15/50.00 (v129(constB132, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16625, 16621])).
% 78.15/50.00 tff(16627,plain,
% 78.15/50.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16628,plain,
% 78.15/50.00 ((v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16629,plain,
% 78.15/50.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))))),
% 78.15/50.00 inference(monotonicity,[status(thm)],[16628])).
% 78.15/50.00 tff(16630,plain,
% 78.15/50.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 78.15/50.00 inference(transitivity,[status(thm)],[16629, 16627])).
% 78.15/50.00 tff(16631,plain,
% 78.15/50.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16632,plain,
% 78.15/50.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16631, 16630])).
% 78.15/50.00 tff(16633,plain,
% 78.15/50.00 (v90(constB132, bitIndex1) | (~v100(constB132))),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16632, 1061, 16626])).
% 78.15/50.00 tff(16634,plain,
% 78.15/50.00 (v90(constB132, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16633, 16496])).
% 78.15/50.00 tff(16635,plain,
% 78.15/50.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16636,plain,
% 78.15/50.00 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16637,plain,
% 78.15/50.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)))),
% 78.15/50.00 inference(monotonicity,[status(thm)],[16636])).
% 78.15/50.00 tff(16638,plain,
% 78.15/50.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 78.15/50.00 inference(transitivity,[status(thm)],[16637, 16635])).
% 78.15/50.00 tff(16639,plain,
% 78.15/50.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16640,plain,
% 78.15/50.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 78.15/50.00 tff(16641,plain,
% 78.15/50.00 ((~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16640, 1079, 16591])).
% 78.15/50.00 tff(16642,plain,
% 78.15/50.00 ((~v90(constB132, bitIndex1)) | v90(constB133, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16641, 16603])).
% 78.15/50.00 tff(16643,plain,
% 78.15/50.00 (v90(constB133, bitIndex1)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16642, 16634])).
% 78.15/50.00 tff(16644,plain,
% 78.15/50.00 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16645,plain,
% 78.15/50.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16646,plain,
% 78.15/50.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0))),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 78.15/50.00 tff(16647,plain,
% 78.15/50.00 (~v130(constB131, bitIndex0)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16646, 2112, 16559])).
% 78.15/50.00 tff(16648,plain,
% 78.15/50.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16649,plain,
% 78.15/50.00 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 78.15/50.00 inference(rewrite,[status(thm)],[])).
% 78.15/50.00 tff(16650,plain,
% 78.15/50.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 78.15/50.00 inference(monotonicity,[status(thm)],[16649])).
% 78.15/50.00 tff(16651,plain,
% 78.15/50.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 78.15/50.00 inference(transitivity,[status(thm)],[16650, 16648])).
% 78.15/50.00 tff(16652,plain,
% 78.15/50.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 78.15/50.00 inference(quant_inst,[status(thm)],[])).
% 78.15/50.00 tff(16653,plain,
% 78.15/50.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 78.15/50.00 inference(modus_ponens,[status(thm)],[16652, 16651])).
% 78.15/50.00 tff(16654,plain,
% 78.15/50.00 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16653, 1112, 16567])).
% 78.15/50.00 tff(16655,plain,
% 78.15/50.00 (~v127(constB131, bitIndex0)),
% 78.15/50.00 inference(unit_resolution,[status(thm)],[16654, 16647])).
% 78.15/50.00 tff(16656,plain,
% 78.15/50.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 78.15/50.01 inference(rewrite,[status(thm)],[])).
% 78.15/50.01 tff(16657,plain,
% 78.15/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 78.15/50.01 inference(quant_inst,[status(thm)],[])).
% 78.15/50.01 tff(16658,plain,
% 78.15/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 78.15/50.01 inference(modus_ponens,[status(thm)],[16657, 16656])).
% 78.15/50.01 tff(16659,plain,
% 78.15/50.01 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 78.15/50.01 inference(unit_resolution,[status(thm)],[16658, 1130, 16462])).
% 78.15/50.01 tff(16660,plain,
% 78.15/50.01 (~v129(constB132, bitIndex0)),
% 78.15/50.01 inference(unit_resolution,[status(thm)],[16659, 16655])).
% 78.15/50.01 tff(16661,plain,
% 78.15/50.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 78.15/50.01 inference(rewrite,[status(thm)],[])).
% 78.15/50.01 tff(16662,plain,
% 78.15/50.01 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 78.15/50.01 inference(rewrite,[status(thm)],[])).
% 78.15/50.01 tff(16663,plain,
% 78.15/50.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 78.15/50.01 inference(monotonicity,[status(thm)],[16662])).
% 78.15/50.01 tff(16664,plain,
% 78.15/50.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 78.15/50.01 inference(transitivity,[status(thm)],[16663, 16661])).
% 78.15/50.01 tff(16665,plain,
% 78.15/50.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 78.15/50.01 inference(quant_inst,[status(thm)],[])).
% 78.15/50.01 tff(16666,plain,
% 78.15/50.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 78.15/50.01 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 78.15/50.01 tff(16667,plain,
% 78.15/50.01 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 78.15/50.01 inference(unit_resolution,[status(thm)],[16666, 1145, 16660])).
% 78.15/50.01 tff(16668,plain,
% 78.15/50.01 (~v90(constB132, bitIndex0)),
% 78.15/50.01 inference(unit_resolution,[status(thm)],[16667, 16496])).
% 78.15/50.01 tff(16669,plain,
% 78.15/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 78.15/50.01 inference(rewrite,[status(thm)],[])).
% 78.15/50.01 tff(16670,plain,
% 78.15/50.01 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16671,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 78.18/50.01 inference(monotonicity,[status(thm)],[16670])).
% 78.18/50.01 tff(16672,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 78.18/50.01 inference(transitivity,[status(thm)],[16671, 16669])).
% 78.18/50.01 tff(16673,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16674,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 78.18/50.01 tff(16675,plain,
% 78.18/50.01 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16674, 381, 16591])).
% 78.18/50.01 tff(16676,plain,
% 78.18/50.01 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16675, 16603])).
% 78.18/50.01 tff(16677,plain,
% 78.18/50.01 (~v90(constB133, bitIndex0)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16676, 16668])).
% 78.18/50.01 tff(16678,plain,
% 78.18/50.01 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16679,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16680,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133)),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16679, 16678])).
% 78.18/50.01 tff(16681,plain,
% 78.18/50.01 (v125(constB133)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16680, 2156, 16677, 16643, 16612])).
% 78.18/50.01 tff(16682,plain,
% 78.18/50.01 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16683,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16684,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133))),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16683, 16682])).
% 78.18/50.01 tff(16685,plain,
% 78.18/50.01 (v113(constB133)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16684, 2167, 16681])).
% 78.18/50.01 tff(16686,assumption,(v26(constB133)), introduced(assumption)).
% 78.18/50.01 tff(16687,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16688,plain,
% 78.18/50.01 ($false),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16687, 14, 16686])).
% 78.18/50.01 tff(16689,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 78.18/50.01 tff(16690,plain,
% 78.18/50.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16691,plain,
% 78.18/50.01 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16692,plain,
% 78.18/50.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133))))),
% 78.18/50.01 inference(monotonicity,[status(thm)],[16691])).
% 78.18/50.01 tff(16693,plain,
% 78.18/50.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 78.18/50.01 inference(transitivity,[status(thm)],[16692, 16690])).
% 78.18/50.01 tff(16694,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16695,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 78.18/50.01 tff(16696,plain,
% 78.18/50.01 (v112(constB133) | (~v113(constB133))),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16695, 555, 16689])).
% 78.18/50.01 tff(16697,plain,
% 78.18/50.01 (v112(constB133)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16696, 16685])).
% 78.18/50.01 tff(16698,plain,
% 78.18/50.01 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16699,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16700,plain,
% 78.18/50.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133))),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16699, 16698])).
% 78.18/50.01 tff(16701,plain,
% 78.18/50.01 (v108(constB133)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16700, 464, 16697])).
% 78.18/50.01 tff(16702,plain,
% 78.18/50.01 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16703,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 78.18/50.01 tff(16704,plain,
% 78.18/50.01 (nextState(constB133, constB134)),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 78.18/50.01 tff(16705,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16706,plain,
% 78.18/50.01 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16707,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 78.18/50.01 inference(monotonicity,[status(thm)],[16706])).
% 78.18/50.01 tff(16708,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 78.18/50.01 inference(transitivity,[status(thm)],[16707, 16705])).
% 78.18/50.01 tff(16709,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16710,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16709, 16708])).
% 78.18/50.01 tff(16711,plain,
% 78.18/50.01 (v110(constB134) | (~v108(constB133))),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16710, 571, 16704])).
% 78.18/50.01 tff(16712,plain,
% 78.18/50.01 (v110(constB134)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16711, 16701])).
% 78.18/50.01 tff(16713,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16714,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16715,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 78.18/50.01 tff(16716,plain,
% 78.18/50.01 (~v104(constB134)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16715, 589, 16704, 16588])).
% 78.18/50.01 tff(16717,plain,
% 78.18/50.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16718,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 78.18/50.01 inference(quant_inst,[status(thm)],[])).
% 78.18/50.01 tff(16719,plain,
% 78.18/50.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 78.18/50.01 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 78.18/50.01 tff(16720,plain,
% 78.18/50.01 (v102(constB134) | v104(constB134)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16719, 603, 16704])).
% 78.18/50.01 tff(16721,plain,
% 78.18/50.01 (v102(constB134)),
% 78.18/50.01 inference(unit_resolution,[status(thm)],[16720, 16716])).
% 78.18/50.01 tff(16722,plain,
% 78.18/50.01 (v1(constB134) <=> v1(constB134)),
% 78.18/50.01 inference(rewrite,[status(thm)],[])).
% 78.18/50.01 tff(16723,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 78.18/50.01 tff(16724,plain,
% 78.18/50.01 (v1(constB134)),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 78.18/50.02 tff(16725,plain,
% 78.18/50.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16726,plain,
% 78.18/50.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16727,plain,
% 78.18/50.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16726, 16725])).
% 78.18/50.02 tff(16728,plain,
% 78.18/50.02 (v101(constB134) | (~v102(constB134))),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16727, 621, 16704, 16724])).
% 78.18/50.02 tff(16729,plain,
% 78.18/50.02 (v101(constB134)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16728, 16721])).
% 78.18/50.02 tff(16730,plain,
% 78.18/50.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16731,plain,
% 78.18/50.02 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16732,plain,
% 78.18/50.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 78.18/50.02 inference(monotonicity,[status(thm)],[16731])).
% 78.18/50.02 tff(16733,plain,
% 78.18/50.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 78.18/50.02 inference(transitivity,[status(thm)],[16732, 16730])).
% 78.18/50.02 tff(16734,plain,
% 78.18/50.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16735,plain,
% 78.18/50.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16734, 16733])).
% 78.18/50.02 tff(16736,plain,
% 78.18/50.02 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16735, 636, 16704])).
% 78.18/50.02 tff(16737,plain,
% 78.18/50.02 (v100(constB134) | (~v110(constB134))),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16736, 16729])).
% 78.18/50.02 tff(16738,plain,
% 78.18/50.02 (v100(constB134)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16737, 16712])).
% 78.18/50.02 tff(16739,plain,
% 78.18/50.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16740,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16741,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 78.18/50.02 tff(16742,plain,
% 78.18/50.02 (~v122(constB133)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16741, 2229, 16612])).
% 78.18/50.02 tff(16743,plain,
% 78.18/50.02 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16744,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16745,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16744, 16743])).
% 78.18/50.02 tff(16746,plain,
% 78.18/50.02 (~v119(constB133)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16745, 2243, 16643])).
% 78.18/50.02 tff(16747,plain,
% 78.18/50.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16748,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16749,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16748, 16747])).
% 78.18/50.02 tff(16750,plain,
% 78.18/50.02 (~v120(constB133)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16749, 2254, 16643])).
% 78.18/50.02 tff(16751,plain,
% 78.18/50.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16752,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16753,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16752, 16751])).
% 78.18/50.02 tff(16754,plain,
% 78.18/50.02 (~v123(constB133)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16753, 2265, 16643])).
% 78.18/50.02 tff(16755,plain,
% 78.18/50.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v124(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v124(constB133)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16756,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v124(constB133)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16757,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v124(constB133))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16756, 16755])).
% 78.18/50.02 tff(16758,plain,
% 78.18/50.02 (~v124(constB133)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16757, 2276, 16643])).
% 78.18/50.02 tff(16759,plain,
% 78.18/50.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16760,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16761,plain,
% 78.18/50.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 78.18/50.02 tff(16762,plain,
% 78.18/50.02 (~v121(constB133)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16761, 2218, 16612])).
% 78.18/50.02 tff(16763,plain,
% 78.18/50.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex2)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16764,plain,
% 78.18/50.02 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2))) <=> (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex2)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16765,plain,
% 78.18/50.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex2))))),
% 78.18/50.02 inference(monotonicity,[status(thm)],[16764])).
% 78.18/50.02 tff(16766,plain,
% 78.18/50.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex2)))),
% 78.18/50.02 inference(transitivity,[status(thm)],[16765, 16763])).
% 78.18/50.02 tff(16767,plain,
% 78.18/50.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16768,plain,
% 78.18/50.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex2))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 78.18/50.02 tff(16769,plain,
% 78.18/50.02 (~v130(constB133, bitIndex2)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16768, 2290, 16762, 16758, 16754, 16750, 16746, 16742])).
% 78.18/50.02 tff(16770,plain,
% 78.18/50.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16771,plain,
% 78.18/50.02 ((v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2))) <=> ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16772,plain,
% 78.18/50.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)))),
% 78.18/50.02 inference(monotonicity,[status(thm)],[16771])).
% 78.18/50.02 tff(16773,plain,
% 78.18/50.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 78.18/50.02 inference(transitivity,[status(thm)],[16772, 16770])).
% 78.18/50.02 tff(16774,plain,
% 78.18/50.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16775,plain,
% 78.18/50.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16774, 16773])).
% 78.18/50.02 tff(16776,plain,
% 78.18/50.02 ((~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16775, 430, 16689])).
% 78.18/50.02 tff(16777,plain,
% 78.18/50.02 (~v127(constB133, bitIndex2)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16776, 16769])).
% 78.18/50.02 tff(16778,plain,
% 78.18/50.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16779,plain,
% 78.18/50.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 78.18/50.02 inference(quant_inst,[status(thm)],[])).
% 78.18/50.02 tff(16780,plain,
% 78.18/50.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 78.18/50.02 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 78.18/50.02 tff(16781,plain,
% 78.18/50.02 (v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16780, 451, 16704])).
% 78.18/50.02 tff(16782,plain,
% 78.18/50.02 (~v129(constB134, bitIndex2)),
% 78.18/50.02 inference(unit_resolution,[status(thm)],[16781, 16777])).
% 78.18/50.02 tff(16783,plain,
% 78.18/50.02 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 78.18/50.02 inference(rewrite,[status(thm)],[])).
% 78.18/50.02 tff(16784,plain,
% 78.18/50.03 (((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 78.18/50.03 inference(rewrite,[status(thm)],[])).
% 78.18/50.03 tff(16785,plain,
% 78.18/50.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))))),
% 78.18/50.03 inference(monotonicity,[status(thm)],[16784])).
% 78.18/50.03 tff(16786,plain,
% 78.18/50.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 78.18/50.03 inference(transitivity,[status(thm)],[16785, 16783])).
% 78.18/50.03 tff(16787,plain,
% 78.18/50.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))),
% 78.18/50.03 inference(quant_inst,[status(thm)],[])).
% 78.18/50.03 tff(16788,plain,
% 78.18/50.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))),
% 78.18/50.03 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 78.18/50.03 tff(16789,plain,
% 78.18/50.03 ((~v90(constB134, bitIndex2)) | (~v100(constB134))),
% 78.18/50.03 inference(unit_resolution,[status(thm)],[16788, 655, 16782])).
% 78.18/50.03 tff(16790,plain,
% 78.18/50.03 (~v90(constB134, bitIndex2)),
% 78.18/50.03 inference(unit_resolution,[status(thm)],[16789, 16738])).
% 78.18/50.03 tff(16791,plain,
% 78.18/50.03 ((~v1(constB135)) <=> (~v1(constB135))),
% 78.18/50.03 inference(rewrite,[status(thm)],[])).
% 78.18/50.03 tff(16792,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 78.18/50.03 tff(16793,plain,
% 78.18/50.03 (~v1(constB135)),
% 78.18/50.03 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 78.18/50.03 tff(16794,plain,
% 78.18/50.03 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 78.18/50.03 inference(rewrite,[status(thm)],[])).
% 78.18/50.03 tff(16795,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 78.18/50.03 tff(16796,plain,
% 78.18/50.03 (nextState(constB134, constB135)),
% 78.18/50.03 inference(modus_ponens,[status(thm)],[16795, 16794])).
% 78.18/50.03 tff(16797,plain,
% 78.18/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 78.18/50.03 inference(rewrite,[status(thm)],[])).
% 78.18/50.03 tff(16798,plain,
% 78.18/50.03 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 78.18/50.03 inference(rewrite,[status(thm)],[])).
% 78.18/50.03 tff(16799,plain,
% 78.18/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 78.18/50.03 inference(monotonicity,[status(thm)],[16798])).
% 78.18/50.03 tff(16800,plain,
% 78.18/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 78.18/50.03 inference(transitivity,[status(thm)],[16799, 16797])).
% 78.18/50.03 tff(16801,plain,
% 78.18/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 78.20/50.03 inference(quant_inst,[status(thm)],[])).
% 78.20/50.03 tff(16802,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 78.20/50.03 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 78.20/50.03 tff(16803,plain,
% 78.20/50.03 (~v101(constB135)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16802, 307, 16796, 16793])).
% 78.20/50.03 tff(16804,plain,
% 78.20/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16805,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 78.20/50.03 inference(quant_inst,[status(thm)],[])).
% 78.20/50.03 tff(16806,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 78.20/50.03 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 78.20/50.03 tff(16807,plain,
% 78.20/50.03 (v101(constB135) | (~v100(constB135))),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16806, 324, 16796])).
% 78.20/50.03 tff(16808,plain,
% 78.20/50.03 (~v100(constB135)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16807, 16803])).
% 78.20/50.03 tff(16809,plain,
% 78.20/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16810,plain,
% 78.20/50.03 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16811,plain,
% 78.20/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))))),
% 78.20/50.03 inference(monotonicity,[status(thm)],[16810])).
% 78.20/50.03 tff(16812,plain,
% 78.20/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 78.20/50.03 inference(transitivity,[status(thm)],[16811, 16809])).
% 78.20/50.03 tff(16813,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 78.20/50.03 inference(quant_inst,[status(thm)],[])).
% 78.20/50.03 tff(16814,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 78.20/50.03 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 78.20/50.03 tff(16815,plain,
% 78.20/50.03 (v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16814, 339, 16796])).
% 78.20/50.03 tff(16816,plain,
% 78.20/50.03 (v90(constB134, bitIndex2) | (~v90(constB135, bitIndex2))),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16815, 16808])).
% 78.20/50.03 tff(16817,plain,
% 78.20/50.03 (~v90(constB135, bitIndex2)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16816, 16790])).
% 78.20/50.03 tff(16818,plain,
% 78.20/50.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex1)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16819,plain,
% 78.20/50.03 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))) <=> (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex1)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16820,plain,
% 78.20/50.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex1))))),
% 78.20/50.03 inference(monotonicity,[status(thm)],[16819])).
% 78.20/50.03 tff(16821,plain,
% 78.20/50.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex1)))),
% 78.20/50.03 inference(transitivity,[status(thm)],[16820, 16818])).
% 78.20/50.03 tff(16822,plain,
% 78.20/50.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 78.20/50.03 inference(quant_inst,[status(thm)],[])).
% 78.20/50.03 tff(16823,plain,
% 78.20/50.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~v130(constB133, bitIndex1))),
% 78.20/50.03 inference(modus_ponens,[status(thm)],[16822, 16821])).
% 78.20/50.03 tff(16824,plain,
% 78.20/50.03 (~v130(constB133, bitIndex1)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16823, 2355, 16762, 16758, 16754, 16750, 16746, 16742])).
% 78.20/50.03 tff(16825,plain,
% 78.20/50.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16826,plain,
% 78.20/50.03 ((v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1))) <=> ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16827,plain,
% 78.20/50.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)))),
% 78.20/50.03 inference(monotonicity,[status(thm)],[16826])).
% 78.20/50.03 tff(16828,plain,
% 78.20/50.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 78.20/50.03 inference(transitivity,[status(thm)],[16827, 16825])).
% 78.20/50.03 tff(16829,plain,
% 78.20/50.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))),
% 78.20/50.03 inference(quant_inst,[status(thm)],[])).
% 78.20/50.03 tff(16830,plain,
% 78.20/50.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)),
% 78.20/50.03 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 78.20/50.03 tff(16831,plain,
% 78.20/50.03 ((~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16830, 714, 16689])).
% 78.20/50.03 tff(16832,plain,
% 78.20/50.03 (~v127(constB133, bitIndex1)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16831, 16824])).
% 78.20/50.03 tff(16833,plain,
% 78.20/50.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16834,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 78.20/50.03 inference(quant_inst,[status(thm)],[])).
% 78.20/50.03 tff(16835,plain,
% 78.20/50.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 78.20/50.03 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 78.20/50.03 tff(16836,plain,
% 78.20/50.03 (v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16835, 732, 16704])).
% 78.20/50.03 tff(16837,plain,
% 78.20/50.03 (~v129(constB134, bitIndex1)),
% 78.20/50.03 inference(unit_resolution,[status(thm)],[16836, 16832])).
% 78.20/50.03 tff(16838,plain,
% 78.20/50.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 78.20/50.03 inference(rewrite,[status(thm)],[])).
% 78.20/50.03 tff(16839,plain,
% 78.20/50.03 (((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16840,plain,
% 78.20/50.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))))),
% 78.20/50.04 inference(monotonicity,[status(thm)],[16839])).
% 78.20/50.04 tff(16841,plain,
% 78.20/50.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 78.20/50.04 inference(transitivity,[status(thm)],[16840, 16838])).
% 78.20/50.04 tff(16842,plain,
% 78.20/50.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))),
% 78.20/50.04 inference(quant_inst,[status(thm)],[])).
% 78.20/50.04 tff(16843,plain,
% 78.20/50.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))),
% 78.20/50.04 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 78.20/50.04 tff(16844,plain,
% 78.20/50.04 ((~v90(constB134, bitIndex1)) | (~v100(constB134))),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16843, 747, 16837])).
% 78.20/50.04 tff(16845,plain,
% 78.20/50.04 (~v90(constB134, bitIndex1)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16844, 16738])).
% 78.20/50.04 tff(16846,plain,
% 78.20/50.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16847,plain,
% 78.20/50.04 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16848,plain,
% 78.20/50.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))))),
% 78.20/50.04 inference(monotonicity,[status(thm)],[16847])).
% 78.20/50.04 tff(16849,plain,
% 78.20/50.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 78.20/50.04 inference(transitivity,[status(thm)],[16848, 16846])).
% 78.20/50.04 tff(16850,plain,
% 78.20/50.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 78.20/50.04 inference(quant_inst,[status(thm)],[])).
% 78.20/50.04 tff(16851,plain,
% 78.20/50.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 78.20/50.04 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 78.20/50.04 tff(16852,plain,
% 78.20/50.04 (v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16851, 360, 16796])).
% 78.20/50.04 tff(16853,plain,
% 78.20/50.04 (v90(constB134, bitIndex1) | (~v90(constB135, bitIndex1))),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16852, 16808])).
% 78.20/50.04 tff(16854,plain,
% 78.20/50.04 (~v90(constB135, bitIndex1)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16853, 16845])).
% 78.20/50.04 tff(16855,plain,
% 78.20/50.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | v130(constB133, bitIndex0))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16856,plain,
% 78.20/50.04 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0)) <=> (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | v130(constB133, bitIndex0))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16857,plain,
% 78.20/50.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | v130(constB133, bitIndex0)))),
% 78.20/50.04 inference(monotonicity,[status(thm)],[16856])).
% 78.20/50.04 tff(16858,plain,
% 78.20/50.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | v130(constB133, bitIndex0))),
% 78.20/50.04 inference(transitivity,[status(thm)],[16857, 16855])).
% 78.20/50.04 tff(16859,plain,
% 78.20/50.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 78.20/50.04 inference(quant_inst,[status(thm)],[])).
% 78.20/50.04 tff(16860,plain,
% 78.20/50.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | v130(constB133, bitIndex0)),
% 78.20/50.04 inference(modus_ponens,[status(thm)],[16859, 16858])).
% 78.20/50.04 tff(16861,plain,
% 78.20/50.04 (v130(constB133, bitIndex0)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16860, 2402, 16762, 16758, 16754, 16750, 16746, 16742])).
% 78.20/50.04 tff(16862,plain,
% 78.20/50.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16863,plain,
% 78.20/50.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 78.20/50.04 inference(quant_inst,[status(thm)],[])).
% 78.20/50.04 tff(16864,plain,
% 78.20/50.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 78.20/50.04 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 78.20/50.04 tff(16865,plain,
% 78.20/50.04 ((~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16864, 788, 16689])).
% 78.20/50.04 tff(16866,plain,
% 78.20/50.04 (v127(constB133, bitIndex0)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16865, 16861])).
% 78.20/50.04 tff(16867,plain,
% 78.20/50.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16868,plain,
% 78.20/50.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 78.20/50.04 inference(quant_inst,[status(thm)],[])).
% 78.20/50.04 tff(16869,plain,
% 78.20/50.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 78.20/50.04 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 78.20/50.04 tff(16870,plain,
% 78.20/50.04 ((~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16869, 803, 16704])).
% 78.20/50.04 tff(16871,plain,
% 78.20/50.04 (v129(constB134, bitIndex0)),
% 78.20/50.04 inference(unit_resolution,[status(thm)],[16870, 16866])).
% 78.20/50.04 tff(16872,plain,
% 78.20/50.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16873,plain,
% 78.20/50.04 ((v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 78.20/50.04 inference(rewrite,[status(thm)],[])).
% 78.20/50.04 tff(16874,plain,
% 78.20/50.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))))),
% 78.20/50.04 inference(monotonicity,[status(thm)],[16873])).
% 78.20/50.04 tff(16875,plain,
% 78.20/50.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 78.20/50.04 inference(transitivity,[status(thm)],[16874, 16872])).
% 78.20/50.04 tff(16876,plain,
% 78.20/50.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16877,plain,
% 78.20/50.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16876, 16875])).
% 78.20/50.05 tff(16878,plain,
% 78.20/50.05 (v90(constB134, bitIndex0) | (~v100(constB134))),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16877, 818, 16871])).
% 78.20/50.05 tff(16879,plain,
% 78.20/50.05 (v90(constB134, bitIndex0)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16878, 16738])).
% 78.20/50.05 tff(16880,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16881,plain,
% 78.20/50.05 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16882,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)))),
% 78.20/50.05 inference(monotonicity,[status(thm)],[16881])).
% 78.20/50.05 tff(16883,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 78.20/50.05 inference(transitivity,[status(thm)],[16882, 16880])).
% 78.20/50.05 tff(16884,plain,
% 78.20/50.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16885,plain,
% 78.20/50.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16884, 16883])).
% 78.20/50.05 tff(16886,plain,
% 78.20/50.05 ((~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16885, 836, 16796])).
% 78.20/50.05 tff(16887,plain,
% 78.20/50.05 ((~v90(constB134, bitIndex0)) | v90(constB135, bitIndex0)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16886, 16808])).
% 78.20/50.05 tff(16888,plain,
% 78.20/50.05 (v90(constB135, bitIndex0)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16887, 16879])).
% 78.20/50.05 tff(16889,plain,
% 78.20/50.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16890,plain,
% 78.20/50.05 (((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) <=> ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16891,plain,
% 78.20/50.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)))),
% 78.20/50.05 inference(monotonicity,[status(thm)],[16890])).
% 78.20/50.05 tff(16892,plain,
% 78.20/50.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 78.20/50.05 inference(transitivity,[status(thm)],[16891, 16889])).
% 78.20/50.05 tff(16893,plain,
% 78.20/50.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16894,plain,
% 78.20/50.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16893, 16892])).
% 78.20/50.05 tff(16895,plain,
% 78.20/50.05 (v120(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16894, 855, 16888, 16854, 16817])).
% 78.20/50.05 tff(16896,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16897,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16898,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16897, 16896])).
% 78.20/50.05 tff(16899,plain,
% 78.20/50.05 (v118(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16898, 908, 16895])).
% 78.20/50.05 tff(16900,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16901,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16902,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16901, 16900])).
% 78.20/50.05 tff(16903,plain,
% 78.20/50.05 (v117(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16902, 497, 16899])).
% 78.20/50.05 tff(16904,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16905,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16906,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 78.20/50.05 tff(16907,plain,
% 78.20/50.05 (v116(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16906, 508, 16903])).
% 78.20/50.05 tff(16908,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16909,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16910,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 78.20/50.05 tff(16911,plain,
% 78.20/50.05 (v115(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16910, 519, 16907])).
% 78.20/50.05 tff(16912,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16913,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16914,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16913, 16912])).
% 78.20/50.05 tff(16915,plain,
% 78.20/50.05 (v114(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16914, 530, 16911])).
% 78.20/50.05 tff(16916,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16917,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16918,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 78.20/50.05 tff(16919,plain,
% 78.20/50.05 (v113(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16918, 541, 16915])).
% 78.20/50.05 tff(16920,assumption,(v26(constB135)), introduced(assumption)).
% 78.20/50.05 tff(16921,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16922,plain,
% 78.20/50.05 ($false),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16921, 14, 16920])).
% 78.20/50.05 tff(16923,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 78.20/50.05 tff(16924,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16925,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16926,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 78.20/50.05 tff(16927,plain,
% 78.20/50.05 ((~v113(constB135)) | v112(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16926, 555, 16923])).
% 78.20/50.05 tff(16928,plain,
% 78.20/50.05 (v112(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16927, 16919])).
% 78.20/50.05 tff(16929,plain,
% 78.20/50.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16930,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16931,plain,
% 78.20/50.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 78.20/50.05 tff(16932,plain,
% 78.20/50.05 (v108(constB135)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16931, 464, 16928])).
% 78.20/50.05 tff(16933,plain,
% 78.20/50.05 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16934,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 78.20/50.05 tff(16935,plain,
% 78.20/50.05 (nextState(constB135, constB136)),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 78.20/50.05 tff(16936,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16937,plain,
% 78.20/50.05 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16938,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 78.20/50.05 inference(monotonicity,[status(thm)],[16937])).
% 78.20/50.05 tff(16939,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 78.20/50.05 inference(transitivity,[status(thm)],[16938, 16936])).
% 78.20/50.05 tff(16940,plain,
% 78.20/50.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16941,plain,
% 78.20/50.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 78.20/50.05 tff(16942,plain,
% 78.20/50.05 (v110(constB136) | (~v108(constB135))),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16941, 571, 16935])).
% 78.20/50.05 tff(16943,plain,
% 78.20/50.05 (v110(constB136)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16942, 16932])).
% 78.20/50.05 tff(16944,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 78.20/50.05 inference(rewrite,[status(thm)],[])).
% 78.20/50.05 tff(16945,plain,
% 78.20/50.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 78.20/50.05 inference(quant_inst,[status(thm)],[])).
% 78.20/50.05 tff(16946,plain,
% 78.20/50.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 78.20/50.05 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 78.20/50.05 tff(16947,plain,
% 78.20/50.05 (~v104(constB136)),
% 78.20/50.05 inference(unit_resolution,[status(thm)],[16946, 589, 16935, 16793])).
% 78.20/50.05 tff(16948,plain,
% 78.20/50.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16949,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16950,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 78.20/50.06 tff(16951,plain,
% 78.20/50.06 (v102(constB136) | v104(constB136)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16950, 603, 16935])).
% 78.20/50.06 tff(16952,plain,
% 78.20/50.06 (v102(constB136)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16951, 16947])).
% 78.20/50.06 tff(16953,plain,
% 78.20/50.06 (v1(constB136) <=> v1(constB136)),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16954,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 78.20/50.06 tff(16955,plain,
% 78.20/50.06 (v1(constB136)),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 78.20/50.06 tff(16956,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16957,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16958,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 78.20/50.06 tff(16959,plain,
% 78.20/50.06 (v101(constB136) | (~v102(constB136))),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16958, 621, 16935, 16955])).
% 78.20/50.06 tff(16960,plain,
% 78.20/50.06 (v101(constB136)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16959, 16952])).
% 78.20/50.06 tff(16961,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16962,plain,
% 78.20/50.06 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16963,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 78.20/50.06 inference(monotonicity,[status(thm)],[16962])).
% 78.20/50.06 tff(16964,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 78.20/50.06 inference(transitivity,[status(thm)],[16963, 16961])).
% 78.20/50.06 tff(16965,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16966,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 78.20/50.06 tff(16967,plain,
% 78.20/50.06 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16966, 636, 16935])).
% 78.20/50.06 tff(16968,plain,
% 78.20/50.06 (v100(constB136) | (~v110(constB136))),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16967, 16960])).
% 78.20/50.06 tff(16969,plain,
% 78.20/50.06 (v100(constB136)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16968, 16943])).
% 78.20/50.06 tff(16970,plain,
% 78.20/50.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16971,plain,
% 78.20/50.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16972,plain,
% 78.20/50.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 78.20/50.06 tff(16973,plain,
% 78.20/50.06 (~v130(constB135, bitIndex2)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16972, 872, 16895])).
% 78.20/50.06 tff(16974,plain,
% 78.20/50.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16975,plain,
% 78.20/50.06 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16976,plain,
% 78.20/50.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 78.20/50.06 inference(monotonicity,[status(thm)],[16975])).
% 78.20/50.06 tff(16977,plain,
% 78.20/50.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 78.20/50.06 inference(transitivity,[status(thm)],[16976, 16974])).
% 78.20/50.06 tff(16978,plain,
% 78.20/50.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16979,plain,
% 78.20/50.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 78.20/50.06 tff(16980,plain,
% 78.20/50.06 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16979, 430, 16923])).
% 78.20/50.06 tff(16981,plain,
% 78.20/50.06 (~v127(constB135, bitIndex2)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16980, 16973])).
% 78.20/50.06 tff(16982,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16983,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16984,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 78.20/50.06 tff(16985,plain,
% 78.20/50.06 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16984, 451, 16935])).
% 78.20/50.06 tff(16986,plain,
% 78.20/50.06 (~v129(constB136, bitIndex2)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16985, 16981])).
% 78.20/50.06 tff(16987,plain,
% 78.20/50.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16988,plain,
% 78.20/50.06 (((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16989,plain,
% 78.20/50.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))))),
% 78.20/50.06 inference(monotonicity,[status(thm)],[16988])).
% 78.20/50.06 tff(16990,plain,
% 78.20/50.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 78.20/50.06 inference(transitivity,[status(thm)],[16989, 16987])).
% 78.20/50.06 tff(16991,plain,
% 78.20/50.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(16992,plain,
% 78.20/50.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16991, 16990])).
% 78.20/50.06 tff(16993,plain,
% 78.20/50.06 ((~v90(constB136, bitIndex2)) | (~v100(constB136))),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16992, 655, 16986])).
% 78.20/50.06 tff(16994,plain,
% 78.20/50.06 (~v90(constB136, bitIndex2)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[16993, 16969])).
% 78.20/50.06 tff(16995,plain,
% 78.20/50.06 ((~v1(constB137)) <=> (~v1(constB137))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16996,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 78.20/50.06 tff(16997,plain,
% 78.20/50.06 (~v1(constB137)),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 78.20/50.06 tff(16998,plain,
% 78.20/50.06 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(16999,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 78.20/50.06 tff(17000,plain,
% 78.20/50.06 (nextState(constB136, constB137)),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 78.20/50.06 tff(17001,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(17002,plain,
% 78.20/50.06 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(17003,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 78.20/50.06 inference(monotonicity,[status(thm)],[17002])).
% 78.20/50.06 tff(17004,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 78.20/50.06 inference(transitivity,[status(thm)],[17003, 17001])).
% 78.20/50.06 tff(17005,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(17006,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[17005, 17004])).
% 78.20/50.06 tff(17007,plain,
% 78.20/50.06 (~v101(constB137)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[17006, 307, 17000, 16997])).
% 78.20/50.06 tff(17008,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 78.20/50.06 inference(rewrite,[status(thm)],[])).
% 78.20/50.06 tff(17009,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 78.20/50.06 inference(quant_inst,[status(thm)],[])).
% 78.20/50.06 tff(17010,plain,
% 78.20/50.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 78.20/50.06 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 78.20/50.06 tff(17011,plain,
% 78.20/50.06 (v101(constB137) | (~v100(constB137))),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[17010, 324, 17000])).
% 78.20/50.06 tff(17012,plain,
% 78.20/50.06 (~v100(constB137)),
% 78.20/50.06 inference(unit_resolution,[status(thm)],[17011, 17007])).
% 78.20/50.06 tff(17013,plain,
% 78.20/50.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17014,plain,
% 78.20/50.07 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17015,plain,
% 78.20/50.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 78.20/50.07 inference(monotonicity,[status(thm)],[17014])).
% 78.20/50.07 tff(17016,plain,
% 78.20/50.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 78.20/50.07 inference(transitivity,[status(thm)],[17015, 17013])).
% 78.20/50.07 tff(17017,plain,
% 78.20/50.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 78.20/50.07 inference(quant_inst,[status(thm)],[])).
% 78.20/50.07 tff(17018,plain,
% 78.20/50.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 78.20/50.07 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 78.20/50.07 tff(17019,plain,
% 78.20/50.07 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17018, 339, 17000])).
% 78.20/50.07 tff(17020,plain,
% 78.20/50.07 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17019, 17012])).
% 78.20/50.07 tff(17021,plain,
% 78.20/50.07 (~v90(constB137, bitIndex2)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17020, 16994])).
% 78.20/50.07 tff(17022,plain,
% 78.20/50.07 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17023,plain,
% 78.20/50.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))),
% 78.20/50.07 inference(quant_inst,[status(thm)],[])).
% 78.20/50.07 tff(17024,plain,
% 78.20/50.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1)),
% 78.20/50.07 inference(modus_ponens,[status(thm)],[17023, 17022])).
% 78.20/50.07 tff(17025,plain,
% 78.20/50.07 (v130(constB135, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17024, 1017, 16895])).
% 78.20/50.07 tff(17026,plain,
% 78.20/50.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17027,plain,
% 78.20/50.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 78.20/50.07 inference(quant_inst,[status(thm)],[])).
% 78.20/50.07 tff(17028,plain,
% 78.20/50.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 78.20/50.07 inference(modus_ponens,[status(thm)],[17027, 17026])).
% 78.20/50.07 tff(17029,plain,
% 78.20/50.07 ((~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17028, 1031, 16923])).
% 78.20/50.07 tff(17030,plain,
% 78.20/50.07 (v127(constB135, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17029, 17025])).
% 78.20/50.07 tff(17031,plain,
% 78.20/50.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17032,plain,
% 78.20/50.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 78.20/50.07 inference(quant_inst,[status(thm)],[])).
% 78.20/50.07 tff(17033,plain,
% 78.20/50.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 78.20/50.07 inference(modus_ponens,[status(thm)],[17032, 17031])).
% 78.20/50.07 tff(17034,plain,
% 78.20/50.07 ((~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17033, 1046, 16935])).
% 78.20/50.07 tff(17035,plain,
% 78.20/50.07 (v129(constB136, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17034, 17030])).
% 78.20/50.07 tff(17036,plain,
% 78.20/50.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17037,plain,
% 78.20/50.07 ((v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17038,plain,
% 78.20/50.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))))),
% 78.20/50.07 inference(monotonicity,[status(thm)],[17037])).
% 78.20/50.07 tff(17039,plain,
% 78.20/50.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 78.20/50.07 inference(transitivity,[status(thm)],[17038, 17036])).
% 78.20/50.07 tff(17040,plain,
% 78.20/50.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))),
% 78.20/50.07 inference(quant_inst,[status(thm)],[])).
% 78.20/50.07 tff(17041,plain,
% 78.20/50.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 78.20/50.07 inference(modus_ponens,[status(thm)],[17040, 17039])).
% 78.20/50.07 tff(17042,plain,
% 78.20/50.07 (v90(constB136, bitIndex1) | (~v100(constB136))),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17041, 1061, 17035])).
% 78.20/50.07 tff(17043,plain,
% 78.20/50.07 (v90(constB136, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17042, 16969])).
% 78.20/50.07 tff(17044,plain,
% 78.20/50.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17045,plain,
% 78.20/50.07 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17046,plain,
% 78.20/50.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)))),
% 78.20/50.07 inference(monotonicity,[status(thm)],[17045])).
% 78.20/50.07 tff(17047,plain,
% 78.20/50.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 78.20/50.07 inference(transitivity,[status(thm)],[17046, 17044])).
% 78.20/50.07 tff(17048,plain,
% 78.20/50.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))),
% 78.20/50.07 inference(quant_inst,[status(thm)],[])).
% 78.20/50.07 tff(17049,plain,
% 78.20/50.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)),
% 78.20/50.07 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 78.20/50.07 tff(17050,plain,
% 78.20/50.07 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17049, 1079, 17000])).
% 78.20/50.07 tff(17051,plain,
% 78.20/50.07 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17050, 17012])).
% 78.20/50.07 tff(17052,plain,
% 78.20/50.07 (v90(constB137, bitIndex1)),
% 78.20/50.07 inference(unit_resolution,[status(thm)],[17051, 17043])).
% 78.20/50.07 tff(17053,plain,
% 78.20/50.07 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 78.20/50.07 inference(rewrite,[status(thm)],[])).
% 78.20/50.07 tff(17054,plain,
% 78.20/50.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17055,plain,
% 78.20/50.08 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0))),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17054, 17053])).
% 78.20/50.08 tff(17056,plain,
% 78.20/50.08 (~v130(constB135, bitIndex0)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17055, 1098, 16895])).
% 78.20/50.08 tff(17057,assumption,(v127(constB135, bitIndex0)), introduced(assumption)).
% 78.20/50.08 tff(17058,assumption,(~v130(constB135, bitIndex0)), introduced(assumption)).
% 78.20/50.08 tff(17059,plain,
% 78.20/50.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17060,plain,
% 78.20/50.08 ((v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0))) <=> ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17061,plain,
% 78.20/50.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)))),
% 78.20/50.08 inference(monotonicity,[status(thm)],[17060])).
% 78.20/50.08 tff(17062,plain,
% 78.20/50.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 78.20/50.08 inference(transitivity,[status(thm)],[17061, 17059])).
% 78.20/50.08 tff(17063,plain,
% 78.20/50.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17064,plain,
% 78.20/50.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17063, 17062])).
% 78.20/50.08 tff(17065,plain,
% 78.20/50.08 ((~v127(constB135, bitIndex0)) | v26(constB135)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17064, 1112, 17058])).
% 78.20/50.08 tff(17066,plain,
% 78.20/50.08 (v26(constB135)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17065, 17057])).
% 78.20/50.08 tff(17067,plain,
% 78.20/50.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB135)) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB135)) | (~v127(constB135, bitIndex0)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17068,plain,
% 78.20/50.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB135)) | (~v127(constB135, bitIndex0)))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17069,plain,
% 78.20/50.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB135)) | (~v127(constB135, bitIndex0))),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 78.20/50.08 tff(17070,plain,
% 78.20/50.08 ($false),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17069, 2992, 17057, 17066])).
% 78.20/50.08 tff(17071,plain,((~v127(constB135, bitIndex0)) | v130(constB135, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.20/50.08 tff(17072,plain,
% 78.20/50.08 (~v127(constB135, bitIndex0)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17071, 17056])).
% 78.20/50.08 tff(17073,plain,
% 78.20/50.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17074,plain,
% 78.20/50.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17075,plain,
% 78.20/50.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17074, 17073])).
% 78.20/50.08 tff(17076,plain,
% 78.20/50.08 (v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17075, 1130, 16935])).
% 78.20/50.08 tff(17077,plain,
% 78.20/50.08 (~v129(constB136, bitIndex0)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17076, 17072])).
% 78.20/50.08 tff(17078,plain,
% 78.20/50.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17079,plain,
% 78.20/50.08 (((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17080,plain,
% 78.20/50.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))))),
% 78.20/50.08 inference(monotonicity,[status(thm)],[17079])).
% 78.20/50.08 tff(17081,plain,
% 78.20/50.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 78.20/50.08 inference(transitivity,[status(thm)],[17080, 17078])).
% 78.20/50.08 tff(17082,plain,
% 78.20/50.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17083,plain,
% 78.20/50.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17082, 17081])).
% 78.20/50.08 tff(17084,plain,
% 78.20/50.08 ((~v90(constB136, bitIndex0)) | (~v100(constB136))),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17083, 1145, 17077])).
% 78.20/50.08 tff(17085,plain,
% 78.20/50.08 (~v90(constB136, bitIndex0)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17084, 16969])).
% 78.20/50.08 tff(17086,plain,
% 78.20/50.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17087,plain,
% 78.20/50.08 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17088,plain,
% 78.20/50.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))))),
% 78.20/50.08 inference(monotonicity,[status(thm)],[17087])).
% 78.20/50.08 tff(17089,plain,
% 78.20/50.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 78.20/50.08 inference(transitivity,[status(thm)],[17088, 17086])).
% 78.20/50.08 tff(17090,plain,
% 78.20/50.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17091,plain,
% 78.20/50.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17090, 17089])).
% 78.20/50.08 tff(17092,plain,
% 78.20/50.08 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17091, 381, 17000])).
% 78.20/50.08 tff(17093,plain,
% 78.20/50.08 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17092, 17012])).
% 78.20/50.08 tff(17094,plain,
% 78.20/50.08 (~v90(constB137, bitIndex0)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17093, 17085])).
% 78.20/50.08 tff(17095,plain,
% 78.20/50.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17096,plain,
% 78.20/50.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 78.20/50.08 inference(quant_inst,[status(thm)],[])).
% 78.20/50.08 tff(17097,plain,
% 78.20/50.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 78.20/50.08 inference(modus_ponens,[status(thm)],[17096, 17095])).
% 78.20/50.08 tff(17098,plain,
% 78.20/50.08 (v121(constB137)),
% 78.20/50.08 inference(unit_resolution,[status(thm)],[17097, 1172, 17094, 17052, 17021])).
% 78.20/50.08 tff(17099,plain,
% 78.20/50.08 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 78.20/50.08 inference(rewrite,[status(thm)],[])).
% 78.20/50.08 tff(17100,plain,
% 78.20/50.08 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17101,plain,
% 78.20/50.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 78.20/50.09 tff(17102,plain,
% 78.20/50.09 (~v130(constB137, bitIndex2)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17101, 1259, 17098])).
% 78.20/50.09 tff(17103,assumption,(v127(constB137, bitIndex2)), introduced(assumption)).
% 78.20/50.09 tff(17104,assumption,(~v130(constB137, bitIndex2)), introduced(assumption)).
% 78.20/50.09 tff(17105,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17106,plain,
% 78.20/50.09 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17107,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 78.20/50.09 inference(monotonicity,[status(thm)],[17106])).
% 78.20/50.09 tff(17108,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 78.20/50.09 inference(transitivity,[status(thm)],[17107, 17105])).
% 78.20/50.09 tff(17109,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17110,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 78.20/50.09 tff(17111,plain,
% 78.20/50.09 ((~v127(constB137, bitIndex2)) | v26(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17110, 430, 17104])).
% 78.20/50.09 tff(17112,plain,
% 78.20/50.09 (v26(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17111, 17103])).
% 78.20/50.09 tff(17113,plain,
% 78.20/50.09 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB137)) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB137)) | (~v127(constB137, bitIndex2)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17114,plain,
% 78.20/50.09 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB137)) | (~v127(constB137, bitIndex2)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17115,plain,
% 78.20/50.09 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB137)) | (~v127(constB137, bitIndex2))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 78.20/50.09 tff(17116,plain,
% 78.20/50.09 ($false),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17115, 5550, 17103, 17112])).
% 78.20/50.09 tff(17117,plain,((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 78.20/50.09 tff(17118,plain,
% 78.20/50.09 (~v127(constB137, bitIndex2)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17117, 17102])).
% 78.20/50.09 tff(17119,plain,
% 78.20/50.09 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17120,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 78.20/50.09 tff(17121,plain,
% 78.20/50.09 (nextState(constB137, constB138)),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 78.20/50.09 tff(17122,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17123,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17124,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 78.20/50.09 tff(17125,plain,
% 78.20/50.09 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17124, 451, 17121])).
% 78.20/50.09 tff(17126,plain,
% 78.20/50.09 (~v129(constB138, bitIndex2)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17125, 17118])).
% 78.20/50.09 tff(17127,assumption,(v26(constB137)), introduced(assumption)).
% 78.20/50.09 tff(17128,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17129,plain,
% 78.20/50.09 ($false),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17128, 14, 17127])).
% 78.20/50.09 tff(17130,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 78.20/50.09 tff(17131,assumption,(v121(constB137)), introduced(assumption)).
% 78.20/50.09 tff(17132,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17133,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17134,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 78.20/50.09 tff(17135,plain,
% 78.20/50.09 (v117(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17134, 1183, 17131])).
% 78.20/50.09 tff(17136,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17137,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17138,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17137, 17136])).
% 78.20/50.09 tff(17139,plain,
% 78.20/50.09 (v116(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17138, 508, 17135])).
% 78.20/50.09 tff(17140,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17141,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17142,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 78.20/50.09 tff(17143,plain,
% 78.20/50.09 (v115(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17142, 519, 17139])).
% 78.20/50.09 tff(17144,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17145,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17146,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 78.20/50.09 tff(17147,plain,
% 78.20/50.09 (v114(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17146, 530, 17143])).
% 78.20/50.09 tff(17148,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17149,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17150,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 78.20/50.09 tff(17151,plain,
% 78.20/50.09 (v113(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17150, 541, 17147])).
% 78.20/50.09 tff(17152,assumption,(~v26(constB137)), introduced(assumption)).
% 78.20/50.09 tff(17153,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17154,plain,
% 78.20/50.09 ((v26(constB137) | (~v113(constB137)) | v112(constB137)) <=> (v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17155,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137))))),
% 78.20/50.09 inference(monotonicity,[status(thm)],[17154])).
% 78.20/50.09 tff(17156,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 78.20/50.09 inference(transitivity,[status(thm)],[17155, 17153])).
% 78.20/50.09 tff(17157,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17158,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17157, 17156])).
% 78.20/50.09 tff(17159,plain,
% 78.20/50.09 (v112(constB137) | (~v113(constB137))),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17158, 555, 17152])).
% 78.20/50.09 tff(17160,plain,
% 78.20/50.09 (v112(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17159, 17151])).
% 78.20/50.09 tff(17161,plain,
% 78.20/50.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17162,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17163,plain,
% 78.20/50.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 78.20/50.09 tff(17164,plain,
% 78.20/50.09 (v108(constB137)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17163, 464, 17160])).
% 78.20/50.09 tff(17165,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17166,plain,
% 78.20/50.09 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17167,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 78.20/50.09 inference(monotonicity,[status(thm)],[17166])).
% 78.20/50.09 tff(17168,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 78.20/50.09 inference(transitivity,[status(thm)],[17167, 17165])).
% 78.20/50.09 tff(17169,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17170,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17169, 17168])).
% 78.20/50.09 tff(17171,plain,
% 78.20/50.09 (v110(constB138) | (~v108(constB137))),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17170, 571, 17121])).
% 78.20/50.09 tff(17172,plain,
% 78.20/50.09 (v110(constB138)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17171, 17164])).
% 78.20/50.09 tff(17173,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17174,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17175,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 78.20/50.09 tff(17176,plain,
% 78.20/50.09 (~v104(constB138)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17175, 589, 17121, 16997])).
% 78.20/50.09 tff(17177,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17178,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17179,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 78.20/50.09 tff(17180,plain,
% 78.20/50.09 (v102(constB138) | v104(constB138)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17179, 603, 17121])).
% 78.20/50.09 tff(17181,plain,
% 78.20/50.09 (v102(constB138)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17180, 17176])).
% 78.20/50.09 tff(17182,plain,
% 78.20/50.09 (v1(constB138) <=> v1(constB138)),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17183,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 78.20/50.09 tff(17184,plain,
% 78.20/50.09 (v1(constB138)),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 78.20/50.09 tff(17185,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17186,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17187,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 78.20/50.09 inference(modus_ponens,[status(thm)],[17186, 17185])).
% 78.20/50.09 tff(17188,plain,
% 78.20/50.09 (v101(constB138) | (~v102(constB138))),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17187, 621, 17121, 17184])).
% 78.20/50.09 tff(17189,plain,
% 78.20/50.09 (v101(constB138)),
% 78.20/50.09 inference(unit_resolution,[status(thm)],[17188, 17181])).
% 78.20/50.09 tff(17190,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17191,plain,
% 78.20/50.09 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 78.20/50.09 inference(rewrite,[status(thm)],[])).
% 78.20/50.09 tff(17192,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 78.20/50.09 inference(monotonicity,[status(thm)],[17191])).
% 78.20/50.09 tff(17193,plain,
% 78.20/50.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 78.20/50.09 inference(transitivity,[status(thm)],[17192, 17190])).
% 78.20/50.09 tff(17194,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 78.20/50.09 inference(quant_inst,[status(thm)],[])).
% 78.20/50.09 tff(17195,plain,
% 78.20/50.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17194, 17193])).
% 78.20/50.10 tff(17196,plain,
% 78.20/50.10 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17195, 636, 17121])).
% 78.20/50.10 tff(17197,plain,
% 78.20/50.10 (v100(constB138) | (~v110(constB138))),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17196, 17189])).
% 78.20/50.10 tff(17198,plain,
% 78.20/50.10 (v100(constB138)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17197, 17172])).
% 78.20/50.10 tff(17199,assumption,(~v129(constB138, bitIndex2)), introduced(assumption)).
% 78.20/50.10 tff(17200,plain,
% 78.20/50.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17201,plain,
% 78.20/50.10 (((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17202,plain,
% 78.20/50.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))))),
% 78.20/50.10 inference(monotonicity,[status(thm)],[17201])).
% 78.20/50.10 tff(17203,plain,
% 78.20/50.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 78.20/50.10 inference(transitivity,[status(thm)],[17202, 17200])).
% 78.20/50.10 tff(17204,plain,
% 78.20/50.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))),
% 78.20/50.10 inference(quant_inst,[status(thm)],[])).
% 78.20/50.10 tff(17205,plain,
% 78.20/50.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 78.20/50.10 tff(17206,plain,
% 78.20/50.10 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17205, 655, 17199])).
% 78.20/50.10 tff(17207,plain,
% 78.20/50.10 (~v90(constB138, bitIndex2)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17206, 17198])).
% 78.20/50.10 tff(17208,plain,
% 78.20/50.10 ((~v1(constB139)) <=> (~v1(constB139))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17209,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 78.20/50.10 tff(17210,plain,
% 78.20/50.10 (~v1(constB139)),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 78.20/50.10 tff(17211,plain,
% 78.20/50.10 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17212,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 78.20/50.10 tff(17213,plain,
% 78.20/50.10 (nextState(constB138, constB139)),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17212, 17211])).
% 78.20/50.10 tff(17214,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17215,plain,
% 78.20/50.10 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17216,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 78.20/50.10 inference(monotonicity,[status(thm)],[17215])).
% 78.20/50.10 tff(17217,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 78.20/50.10 inference(transitivity,[status(thm)],[17216, 17214])).
% 78.20/50.10 tff(17218,plain,
% 78.20/50.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 78.20/50.10 inference(quant_inst,[status(thm)],[])).
% 78.20/50.10 tff(17219,plain,
% 78.20/50.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17218, 17217])).
% 78.20/50.10 tff(17220,plain,
% 78.20/50.10 (~v101(constB139)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17219, 307, 17213, 17210])).
% 78.20/50.10 tff(17221,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17222,plain,
% 78.20/50.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 78.20/50.10 inference(quant_inst,[status(thm)],[])).
% 78.20/50.10 tff(17223,plain,
% 78.20/50.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 78.20/50.10 tff(17224,plain,
% 78.20/50.10 (v101(constB139) | (~v100(constB139))),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17223, 324, 17213])).
% 78.20/50.10 tff(17225,plain,
% 78.20/50.10 (~v100(constB139)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17224, 17220])).
% 78.20/50.10 tff(17226,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17227,plain,
% 78.20/50.10 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17228,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 78.20/50.10 inference(monotonicity,[status(thm)],[17227])).
% 78.20/50.10 tff(17229,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 78.20/50.10 inference(transitivity,[status(thm)],[17228, 17226])).
% 78.20/50.10 tff(17230,plain,
% 78.20/50.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 78.20/50.10 inference(quant_inst,[status(thm)],[])).
% 78.20/50.10 tff(17231,plain,
% 78.20/50.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17230, 17229])).
% 78.20/50.10 tff(17232,plain,
% 78.20/50.10 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17231, 339, 17213])).
% 78.20/50.10 tff(17233,plain,
% 78.20/50.10 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17232, 17225])).
% 78.20/50.10 tff(17234,plain,
% 78.20/50.10 (~v90(constB139, bitIndex2)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17233, 17207])).
% 78.20/50.10 tff(17235,plain,
% 78.20/50.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17236,plain,
% 78.20/50.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))),
% 78.20/50.10 inference(quant_inst,[status(thm)],[])).
% 78.20/50.10 tff(17237,plain,
% 78.20/50.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0)),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17236, 17235])).
% 78.20/50.10 tff(17238,plain,
% 78.20/50.10 (v130(constB137, bitIndex0)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17237, 1362, 17131])).
% 78.20/50.10 tff(17239,plain,
% 78.20/50.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 78.20/50.10 inference(rewrite,[status(thm)],[])).
% 78.20/50.10 tff(17240,plain,
% 78.20/50.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 78.20/50.10 inference(quant_inst,[status(thm)],[])).
% 78.20/50.10 tff(17241,plain,
% 78.20/50.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 78.20/50.10 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 78.20/50.10 tff(17242,plain,
% 78.20/50.10 ((~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17241, 788, 17152])).
% 78.20/50.10 tff(17243,plain,
% 78.20/50.10 (v127(constB137, bitIndex0)),
% 78.20/50.10 inference(unit_resolution,[status(thm)],[17242, 17238])).
% 78.20/50.10 tff(17244,plain,
% 78.20/50.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17245,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17246,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 78.20/50.11 tff(17247,plain,
% 78.20/50.11 ((~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17246, 803, 17121])).
% 78.20/50.11 tff(17248,plain,
% 78.20/50.11 (v129(constB138, bitIndex0)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17247, 17243])).
% 78.20/50.11 tff(17249,plain,
% 78.20/50.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17250,plain,
% 78.20/50.11 ((v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17251,plain,
% 78.20/50.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))))),
% 78.20/50.11 inference(monotonicity,[status(thm)],[17250])).
% 78.20/50.11 tff(17252,plain,
% 78.20/50.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 78.20/50.11 inference(transitivity,[status(thm)],[17251, 17249])).
% 78.20/50.11 tff(17253,plain,
% 78.20/50.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17254,plain,
% 78.20/50.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17253, 17252])).
% 78.20/50.11 tff(17255,plain,
% 78.20/50.11 (v90(constB138, bitIndex0) | (~v100(constB138))),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17254, 818, 17248])).
% 78.20/50.11 tff(17256,plain,
% 78.20/50.11 (v90(constB138, bitIndex0)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17255, 17198])).
% 78.20/50.11 tff(17257,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17258,plain,
% 78.20/50.11 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17259,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)))),
% 78.20/50.11 inference(monotonicity,[status(thm)],[17258])).
% 78.20/50.11 tff(17260,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 78.20/50.11 inference(transitivity,[status(thm)],[17259, 17257])).
% 78.20/50.11 tff(17261,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17262,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 78.20/50.11 tff(17263,plain,
% 78.20/50.11 ((~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17262, 836, 17213])).
% 78.20/50.11 tff(17264,plain,
% 78.20/50.11 ((~v90(constB138, bitIndex0)) | v90(constB139, bitIndex0)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17263, 17225])).
% 78.20/50.11 tff(17265,plain,
% 78.20/50.11 (v90(constB139, bitIndex0)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17264, 17256])).
% 78.20/50.11 tff(17266,plain,
% 78.20/50.11 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17267,plain,
% 78.20/50.11 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17268,plain,
% 78.20/50.11 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1)),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 78.20/50.11 tff(17269,plain,
% 78.20/50.11 (v130(constB137, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17268, 1321, 17131])).
% 78.20/50.11 tff(17270,plain,
% 78.20/50.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17271,plain,
% 78.20/50.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17272,plain,
% 78.20/50.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17271, 17270])).
% 78.20/50.11 tff(17273,plain,
% 78.20/50.11 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17272, 1031, 17152])).
% 78.20/50.11 tff(17274,plain,
% 78.20/50.11 (v127(constB137, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17273, 17269])).
% 78.20/50.11 tff(17275,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17276,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17277,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 78.20/50.11 tff(17278,plain,
% 78.20/50.11 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17277, 1046, 17121])).
% 78.20/50.11 tff(17279,plain,
% 78.20/50.11 (v129(constB138, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17278, 17274])).
% 78.20/50.11 tff(17280,plain,
% 78.20/50.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17281,plain,
% 78.20/50.11 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17282,plain,
% 78.20/50.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 78.20/50.11 inference(monotonicity,[status(thm)],[17281])).
% 78.20/50.11 tff(17283,plain,
% 78.20/50.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 78.20/50.11 inference(transitivity,[status(thm)],[17282, 17280])).
% 78.20/50.11 tff(17284,plain,
% 78.20/50.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17285,plain,
% 78.20/50.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17284, 17283])).
% 78.20/50.11 tff(17286,plain,
% 78.20/50.11 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17285, 1061, 17279])).
% 78.20/50.11 tff(17287,plain,
% 78.20/50.11 (v90(constB138, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17286, 17198])).
% 78.20/50.11 tff(17288,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17289,plain,
% 78.20/50.11 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17290,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 78.20/50.11 inference(monotonicity,[status(thm)],[17289])).
% 78.20/50.11 tff(17291,plain,
% 78.20/50.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 78.20/50.11 inference(transitivity,[status(thm)],[17290, 17288])).
% 78.20/50.11 tff(17292,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17293,plain,
% 78.20/50.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 78.20/50.11 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 78.20/50.11 tff(17294,plain,
% 78.20/50.11 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17293, 1079, 17213])).
% 78.20/50.11 tff(17295,plain,
% 78.20/50.11 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17294, 17225])).
% 78.20/50.11 tff(17296,plain,
% 78.20/50.11 (v90(constB139, bitIndex1)),
% 78.20/50.11 inference(unit_resolution,[status(thm)],[17295, 17287])).
% 78.20/50.11 tff(17297,assumption,(~v122(constB139)), introduced(assumption)).
% 78.20/50.11 tff(17298,plain,
% 78.20/50.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 78.20/50.11 inference(rewrite,[status(thm)],[])).
% 78.20/50.11 tff(17299,plain,
% 78.20/50.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 78.20/50.11 inference(quant_inst,[status(thm)],[])).
% 78.20/50.11 tff(17300,plain,
% 78.29/50.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139)),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 78.29/50.12 tff(17301,plain,
% 78.29/50.12 ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17300, 1403, 17297])).
% 78.29/50.12 tff(17302,plain,
% 78.29/50.12 ($false),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17301, 17296, 17265, 17234])).
% 78.29/50.12 tff(17303,plain,((~v121(constB137)) | v122(constB139) | v129(constB138, bitIndex2) | v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 78.29/50.12 tff(17304,plain,
% 78.29/50.12 ((~v121(constB137)) | v122(constB139) | v129(constB138, bitIndex2)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17303, 17130])).
% 78.29/50.12 tff(17305,plain,
% 78.29/50.12 (v122(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17304, 17126, 17098])).
% 78.29/50.12 tff(17306,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17307,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17308,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17307, 17306])).
% 78.29/50.12 tff(17309,plain,
% 78.29/50.12 (v116(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17308, 1470, 17305])).
% 78.29/50.12 tff(17310,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17311,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17312,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17311, 17310])).
% 78.29/50.12 tff(17313,plain,
% 78.29/50.12 (v115(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17312, 519, 17309])).
% 78.29/50.12 tff(17314,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17315,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17316,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17315, 17314])).
% 78.29/50.12 tff(17317,plain,
% 78.29/50.12 (v114(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17316, 530, 17313])).
% 78.29/50.12 tff(17318,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17319,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17320,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17319, 17318])).
% 78.29/50.12 tff(17321,plain,
% 78.29/50.12 (v113(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17320, 541, 17317])).
% 78.29/50.12 tff(17322,assumption,(v26(constB139)), introduced(assumption)).
% 78.29/50.12 tff(17323,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17324,plain,
% 78.29/50.12 ($false),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17323, 14, 17322])).
% 78.29/50.12 tff(17325,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 78.29/50.12 tff(17326,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17327,plain,
% 78.29/50.12 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17328,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 78.29/50.12 inference(monotonicity,[status(thm)],[17327])).
% 78.29/50.12 tff(17329,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 78.29/50.12 inference(transitivity,[status(thm)],[17328, 17326])).
% 78.29/50.12 tff(17330,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17331,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 78.29/50.12 tff(17332,plain,
% 78.29/50.12 (v112(constB139) | (~v113(constB139))),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17331, 555, 17325])).
% 78.29/50.12 tff(17333,plain,
% 78.29/50.12 (v112(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17332, 17321])).
% 78.29/50.12 tff(17334,plain,
% 78.29/50.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17335,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17336,plain,
% 78.29/50.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17335, 17334])).
% 78.29/50.12 tff(17337,plain,
% 78.29/50.12 (v108(constB139)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17336, 464, 17333])).
% 78.29/50.12 tff(17338,plain,
% 78.29/50.12 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17339,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 78.29/50.12 tff(17340,plain,
% 78.29/50.12 (nextState(constB139, constB140)),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17339, 17338])).
% 78.29/50.12 tff(17341,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17342,plain,
% 78.29/50.12 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17343,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 78.29/50.12 inference(monotonicity,[status(thm)],[17342])).
% 78.29/50.12 tff(17344,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 78.29/50.12 inference(transitivity,[status(thm)],[17343, 17341])).
% 78.29/50.12 tff(17345,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17346,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 78.29/50.12 tff(17347,plain,
% 78.29/50.12 (v110(constB140) | (~v108(constB139))),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17346, 571, 17340])).
% 78.29/50.12 tff(17348,plain,
% 78.29/50.12 (v110(constB140)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17347, 17337])).
% 78.29/50.12 tff(17349,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17350,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17351,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 78.29/50.12 tff(17352,plain,
% 78.29/50.12 (~v104(constB140)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17351, 589, 17340, 17210])).
% 78.29/50.12 tff(17353,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17354,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17355,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17354, 17353])).
% 78.29/50.12 tff(17356,plain,
% 78.29/50.12 (v102(constB140) | v104(constB140)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17355, 603, 17340])).
% 78.29/50.12 tff(17357,plain,
% 78.29/50.12 (v102(constB140)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17356, 17352])).
% 78.29/50.12 tff(17358,plain,
% 78.29/50.12 (v1(constB140) <=> v1(constB140)),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17359,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 78.29/50.12 tff(17360,plain,
% 78.29/50.12 (v1(constB140)),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 78.29/50.12 tff(17361,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17362,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17363,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17362, 17361])).
% 78.29/50.12 tff(17364,plain,
% 78.29/50.12 (v101(constB140) | (~v102(constB140))),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17363, 621, 17340, 17360])).
% 78.29/50.12 tff(17365,plain,
% 78.29/50.12 (v101(constB140)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17364, 17357])).
% 78.29/50.12 tff(17366,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17367,plain,
% 78.29/50.12 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17368,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 78.29/50.12 inference(monotonicity,[status(thm)],[17367])).
% 78.29/50.12 tff(17369,plain,
% 78.29/50.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 78.29/50.12 inference(transitivity,[status(thm)],[17368, 17366])).
% 78.29/50.12 tff(17370,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 78.29/50.12 inference(quant_inst,[status(thm)],[])).
% 78.29/50.12 tff(17371,plain,
% 78.29/50.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 78.29/50.12 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 78.29/50.12 tff(17372,plain,
% 78.29/50.12 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17371, 636, 17340])).
% 78.29/50.12 tff(17373,plain,
% 78.29/50.12 (v100(constB140) | (~v110(constB140))),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17372, 17365])).
% 78.29/50.12 tff(17374,plain,
% 78.29/50.12 (v100(constB140)),
% 78.29/50.12 inference(unit_resolution,[status(thm)],[17373, 17348])).
% 78.29/50.12 tff(17375,plain,
% 78.29/50.12 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2))),
% 78.29/50.12 inference(rewrite,[status(thm)],[])).
% 78.29/50.12 tff(17376,plain,
% 78.29/50.12 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17377,plain,
% 78.29/50.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17376, 17375])).
% 78.29/50.13 tff(17378,plain,
% 78.29/50.13 (v130(constB139, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17377, 1417, 17305])).
% 78.29/50.13 tff(17379,plain,
% 78.29/50.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17380,plain,
% 78.29/50.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17381,plain,
% 78.29/50.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 78.29/50.13 tff(17382,plain,
% 78.29/50.13 ((~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17381, 1431, 17325])).
% 78.29/50.13 tff(17383,plain,
% 78.29/50.13 (v127(constB139, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17382, 17378])).
% 78.29/50.13 tff(17384,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17385,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17386,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17385, 17384])).
% 78.29/50.13 tff(17387,plain,
% 78.29/50.13 ((~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17386, 1449, 17340])).
% 78.29/50.13 tff(17388,plain,
% 78.29/50.13 (v129(constB140, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17387, 17383])).
% 78.29/50.13 tff(17389,plain,
% 78.29/50.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17390,plain,
% 78.29/50.13 ((v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17391,plain,
% 78.29/50.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))))),
% 78.29/50.13 inference(monotonicity,[status(thm)],[17390])).
% 78.29/50.13 tff(17392,plain,
% 78.29/50.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 78.29/50.13 inference(transitivity,[status(thm)],[17391, 17389])).
% 78.29/50.13 tff(17393,plain,
% 78.29/50.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17394,plain,
% 78.29/50.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 78.29/50.13 tff(17395,plain,
% 78.29/50.13 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17394, 1539, 17388])).
% 78.29/50.13 tff(17396,plain,
% 78.29/50.13 (v90(constB140, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17395, 17374])).
% 78.29/50.13 tff(17397,plain,
% 78.29/50.13 ((~v1(constB141)) <=> (~v1(constB141))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17398,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 78.29/50.13 tff(17399,plain,
% 78.29/50.13 (~v1(constB141)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17398, 17397])).
% 78.29/50.13 tff(17400,plain,
% 78.29/50.13 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17401,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 78.29/50.13 tff(17402,plain,
% 78.29/50.13 (nextState(constB140, constB141)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 78.29/50.13 tff(17403,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17404,plain,
% 78.29/50.13 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17405,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 78.29/50.13 inference(monotonicity,[status(thm)],[17404])).
% 78.29/50.13 tff(17406,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 78.29/50.13 inference(transitivity,[status(thm)],[17405, 17403])).
% 78.29/50.13 tff(17407,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17408,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 78.29/50.13 tff(17409,plain,
% 78.29/50.13 (~v101(constB141)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17408, 307, 17402, 17399])).
% 78.29/50.13 tff(17410,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17411,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17412,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 78.29/50.13 tff(17413,plain,
% 78.29/50.13 (v101(constB141) | (~v100(constB141))),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17412, 324, 17402])).
% 78.29/50.13 tff(17414,plain,
% 78.29/50.13 (~v100(constB141)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17413, 17409])).
% 78.29/50.13 tff(17415,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17416,plain,
% 78.29/50.13 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17417,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)))),
% 78.29/50.13 inference(monotonicity,[status(thm)],[17416])).
% 78.29/50.13 tff(17418,plain,
% 78.29/50.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 78.29/50.13 inference(transitivity,[status(thm)],[17417, 17415])).
% 78.29/50.13 tff(17419,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17420,plain,
% 78.29/50.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 78.29/50.13 tff(17421,plain,
% 78.29/50.13 ((~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17420, 1575, 17402])).
% 78.29/50.13 tff(17422,plain,
% 78.29/50.13 ((~v90(constB140, bitIndex2)) | v90(constB141, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17421, 17414])).
% 78.29/50.13 tff(17423,plain,
% 78.29/50.13 (v90(constB141, bitIndex2)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17422, 17396])).
% 78.29/50.13 tff(17424,plain,
% 78.29/50.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17425,plain,
% 78.29/50.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17426,plain,
% 78.29/50.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1))),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 78.29/50.13 tff(17427,plain,
% 78.29/50.13 (~v130(constB139, bitIndex1)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17426, 1594, 17305])).
% 78.29/50.13 tff(17428,assumption,(v127(constB139, bitIndex1)), introduced(assumption)).
% 78.29/50.13 tff(17429,assumption,(~v130(constB139, bitIndex1)), introduced(assumption)).
% 78.29/50.13 tff(17430,plain,
% 78.29/50.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17431,plain,
% 78.29/50.13 ((v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1))) <=> ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17432,plain,
% 78.29/50.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)))),
% 78.29/50.13 inference(monotonicity,[status(thm)],[17431])).
% 78.29/50.13 tff(17433,plain,
% 78.29/50.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 78.29/50.13 inference(transitivity,[status(thm)],[17432, 17430])).
% 78.29/50.13 tff(17434,plain,
% 78.29/50.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17435,plain,
% 78.29/50.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 78.29/50.13 tff(17436,plain,
% 78.29/50.13 ((~v127(constB139, bitIndex1)) | v26(constB139)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17435, 714, 17429])).
% 78.29/50.13 tff(17437,plain,
% 78.29/50.13 (v26(constB139)),
% 78.29/50.13 inference(unit_resolution,[status(thm)],[17436, 17428])).
% 78.29/50.13 tff(17438,plain,
% 78.29/50.13 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB139)) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB139)) | (~v127(constB139, bitIndex1)))),
% 78.29/50.13 inference(rewrite,[status(thm)],[])).
% 78.29/50.13 tff(17439,plain,
% 78.29/50.13 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB139)) | (~v127(constB139, bitIndex1)))),
% 78.29/50.13 inference(quant_inst,[status(thm)],[])).
% 78.29/50.13 tff(17440,plain,
% 78.29/50.13 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB139)) | (~v127(constB139, bitIndex1))),
% 78.29/50.13 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 78.29/50.13 tff(17441,plain,
% 78.29/50.13 ($false),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17440, 7593, 17428, 17437])).
% 78.29/50.14 tff(17442,plain,((~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 78.29/50.14 tff(17443,plain,
% 78.29/50.14 (~v127(constB139, bitIndex1)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17442, 17427])).
% 78.29/50.14 tff(17444,plain,
% 78.29/50.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17445,plain,
% 78.29/50.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 78.29/50.14 inference(quant_inst,[status(thm)],[])).
% 78.29/50.14 tff(17446,plain,
% 78.29/50.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 78.29/50.14 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 78.29/50.14 tff(17447,plain,
% 78.29/50.14 (v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17446, 732, 17340])).
% 78.29/50.14 tff(17448,plain,
% 78.29/50.14 (~v129(constB140, bitIndex1)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17447, 17443])).
% 78.29/50.14 tff(17449,plain,
% 78.29/50.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17450,plain,
% 78.29/50.14 (((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17451,plain,
% 78.29/50.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))))),
% 78.29/50.14 inference(monotonicity,[status(thm)],[17450])).
% 78.29/50.14 tff(17452,plain,
% 78.29/50.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 78.29/50.14 inference(transitivity,[status(thm)],[17451, 17449])).
% 78.29/50.14 tff(17453,plain,
% 78.29/50.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))),
% 78.29/50.14 inference(quant_inst,[status(thm)],[])).
% 78.29/50.14 tff(17454,plain,
% 78.29/50.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))),
% 78.29/50.14 inference(modus_ponens,[status(thm)],[17453, 17452])).
% 78.29/50.14 tff(17455,plain,
% 78.29/50.14 ((~v90(constB140, bitIndex1)) | (~v100(constB140))),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17454, 747, 17448])).
% 78.29/50.14 tff(17456,plain,
% 78.29/50.14 (~v90(constB140, bitIndex1)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17455, 17374])).
% 78.29/50.14 tff(17457,plain,
% 78.29/50.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17458,plain,
% 78.29/50.14 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17459,plain,
% 78.29/50.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))))),
% 78.29/50.14 inference(monotonicity,[status(thm)],[17458])).
% 78.29/50.14 tff(17460,plain,
% 78.29/50.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 78.29/50.14 inference(transitivity,[status(thm)],[17459, 17457])).
% 78.29/50.14 tff(17461,plain,
% 78.29/50.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 78.29/50.14 inference(quant_inst,[status(thm)],[])).
% 78.29/50.14 tff(17462,plain,
% 78.29/50.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 78.29/50.14 inference(modus_ponens,[status(thm)],[17461, 17460])).
% 78.29/50.14 tff(17463,plain,
% 78.29/50.14 (v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17462, 360, 17402])).
% 78.29/50.14 tff(17464,plain,
% 78.29/50.14 (v90(constB140, bitIndex1) | (~v90(constB141, bitIndex1))),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17463, 17414])).
% 78.29/50.14 tff(17465,plain,
% 78.29/50.14 (~v90(constB141, bitIndex1)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17464, 17456])).
% 78.29/50.14 tff(17466,plain,
% 78.29/50.14 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17467,plain,
% 78.29/50.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 78.29/50.14 inference(quant_inst,[status(thm)],[])).
% 78.29/50.14 tff(17468,plain,
% 78.29/50.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0))),
% 78.29/50.14 inference(modus_ponens,[status(thm)],[17467, 17466])).
% 78.29/50.14 tff(17469,plain,
% 78.29/50.14 (~v130(constB139, bitIndex0)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17468, 1638, 17305])).
% 78.29/50.14 tff(17470,plain,
% 78.29/50.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17471,plain,
% 78.29/50.14 ((v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0))) <=> ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17472,plain,
% 78.29/50.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)))),
% 78.29/50.14 inference(monotonicity,[status(thm)],[17471])).
% 78.29/50.14 tff(17473,plain,
% 78.29/50.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 78.29/50.14 inference(transitivity,[status(thm)],[17472, 17470])).
% 78.29/50.14 tff(17474,plain,
% 78.29/50.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))),
% 78.29/50.14 inference(quant_inst,[status(thm)],[])).
% 78.29/50.14 tff(17475,plain,
% 78.29/50.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)),
% 78.29/50.14 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 78.29/50.14 tff(17476,plain,
% 78.29/50.14 ((~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17475, 1112, 17325])).
% 78.29/50.14 tff(17477,plain,
% 78.29/50.14 (~v127(constB139, bitIndex0)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17476, 17469])).
% 78.29/50.14 tff(17478,plain,
% 78.29/50.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17479,plain,
% 78.29/50.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 78.29/50.14 inference(quant_inst,[status(thm)],[])).
% 78.29/50.14 tff(17480,plain,
% 78.29/50.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 78.29/50.14 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 78.29/50.14 tff(17481,plain,
% 78.29/50.14 (v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17480, 1130, 17340])).
% 78.29/50.14 tff(17482,plain,
% 78.29/50.14 (~v129(constB140, bitIndex0)),
% 78.29/50.14 inference(unit_resolution,[status(thm)],[17481, 17477])).
% 78.29/50.14 tff(17483,plain,
% 78.29/50.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17484,plain,
% 78.29/50.14 (((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 78.29/50.14 inference(rewrite,[status(thm)],[])).
% 78.29/50.14 tff(17485,plain,
% 78.29/50.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))))),
% 78.29/50.15 inference(monotonicity,[status(thm)],[17484])).
% 78.29/50.15 tff(17486,plain,
% 78.29/50.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 78.29/50.15 inference(transitivity,[status(thm)],[17485, 17483])).
% 78.29/50.15 tff(17487,plain,
% 78.29/50.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17488,plain,
% 78.29/50.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 78.29/50.15 tff(17489,plain,
% 78.29/50.15 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17488, 1145, 17482])).
% 78.29/50.15 tff(17490,plain,
% 78.29/50.15 (~v90(constB140, bitIndex0)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17489, 17374])).
% 78.29/50.15 tff(17491,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17492,plain,
% 78.29/50.15 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17493,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))))),
% 78.29/50.15 inference(monotonicity,[status(thm)],[17492])).
% 78.29/50.15 tff(17494,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 78.29/50.15 inference(transitivity,[status(thm)],[17493, 17491])).
% 78.29/50.15 tff(17495,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17496,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 78.29/50.15 tff(17497,plain,
% 78.29/50.15 (v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17496, 381, 17402])).
% 78.29/50.15 tff(17498,plain,
% 78.29/50.15 (v90(constB140, bitIndex0) | (~v90(constB141, bitIndex0))),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17497, 17414])).
% 78.29/50.15 tff(17499,plain,
% 78.29/50.15 (~v90(constB141, bitIndex0)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17498, 17490])).
% 78.29/50.15 tff(17500,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17501,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17502,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17501, 17500])).
% 78.29/50.15 tff(17503,plain,
% 78.29/50.15 (v123(constB141)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17502, 1682, 17499, 17465, 17423])).
% 78.29/50.15 tff(17504,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17505,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17506,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 78.29/50.15 tff(17507,plain,
% 78.29/50.15 (v115(constB141)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17506, 1693, 17503])).
% 78.29/50.15 tff(17508,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17509,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17510,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17509, 17508])).
% 78.29/50.15 tff(17511,plain,
% 78.29/50.15 (v114(constB141)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17510, 530, 17507])).
% 78.29/50.15 tff(17512,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17513,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17514,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17513, 17512])).
% 78.29/50.15 tff(17515,plain,
% 78.29/50.15 (v113(constB141)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17514, 541, 17511])).
% 78.29/50.15 tff(17516,assumption,(v26(constB141)), introduced(assumption)).
% 78.29/50.15 tff(17517,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17518,plain,
% 78.29/50.15 ($false),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17517, 14, 17516])).
% 78.29/50.15 tff(17519,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 78.29/50.15 tff(17520,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17521,plain,
% 78.29/50.15 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17522,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 78.29/50.15 inference(monotonicity,[status(thm)],[17521])).
% 78.29/50.15 tff(17523,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 78.29/50.15 inference(transitivity,[status(thm)],[17522, 17520])).
% 78.29/50.15 tff(17524,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17525,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 78.29/50.15 tff(17526,plain,
% 78.29/50.15 (v112(constB141) | (~v113(constB141))),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17525, 555, 17519])).
% 78.29/50.15 tff(17527,plain,
% 78.29/50.15 (v112(constB141)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17526, 17515])).
% 78.29/50.15 tff(17528,plain,
% 78.29/50.15 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17529,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17530,plain,
% 78.29/50.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 78.29/50.15 tff(17531,plain,
% 78.29/50.15 (v108(constB141)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17530, 464, 17527])).
% 78.29/50.15 tff(17532,plain,
% 78.29/50.15 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17533,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 78.29/50.15 tff(17534,plain,
% 78.29/50.15 (nextState(constB141, constB142)),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 78.29/50.15 tff(17535,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17536,plain,
% 78.29/50.15 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17537,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 78.29/50.15 inference(monotonicity,[status(thm)],[17536])).
% 78.29/50.15 tff(17538,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 78.29/50.15 inference(transitivity,[status(thm)],[17537, 17535])).
% 78.29/50.15 tff(17539,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17540,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17539, 17538])).
% 78.29/50.15 tff(17541,plain,
% 78.29/50.15 (v110(constB142) | (~v108(constB141))),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17540, 571, 17534])).
% 78.29/50.15 tff(17542,plain,
% 78.29/50.15 (v110(constB142)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17541, 17531])).
% 78.29/50.15 tff(17543,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17544,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17545,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 78.29/50.15 tff(17546,plain,
% 78.29/50.15 (~v104(constB142)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17545, 589, 17534, 17399])).
% 78.29/50.15 tff(17547,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17548,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 78.29/50.15 inference(quant_inst,[status(thm)],[])).
% 78.29/50.15 tff(17549,plain,
% 78.29/50.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 78.29/50.15 tff(17550,plain,
% 78.29/50.15 (v102(constB142) | v104(constB142)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17549, 603, 17534])).
% 78.29/50.15 tff(17551,plain,
% 78.29/50.15 (v102(constB142)),
% 78.29/50.15 inference(unit_resolution,[status(thm)],[17550, 17546])).
% 78.29/50.15 tff(17552,plain,
% 78.29/50.15 (v1(constB142) <=> v1(constB142)),
% 78.29/50.15 inference(rewrite,[status(thm)],[])).
% 78.29/50.15 tff(17553,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 78.29/50.15 tff(17554,plain,
% 78.29/50.15 (v1(constB142)),
% 78.29/50.15 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 78.29/50.15 tff(17555,plain,
% 78.29/50.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17556,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17557,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 78.29/50.16 tff(17558,plain,
% 78.29/50.16 (v101(constB142) | (~v102(constB142))),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17557, 621, 17534, 17554])).
% 78.29/50.16 tff(17559,plain,
% 78.29/50.16 (v101(constB142)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17558, 17551])).
% 78.29/50.16 tff(17560,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17561,plain,
% 78.29/50.16 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17562,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 78.29/50.16 inference(monotonicity,[status(thm)],[17561])).
% 78.29/50.16 tff(17563,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 78.29/50.16 inference(transitivity,[status(thm)],[17562, 17560])).
% 78.29/50.16 tff(17564,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17565,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17564, 17563])).
% 78.29/50.16 tff(17566,plain,
% 78.29/50.16 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17565, 636, 17534])).
% 78.29/50.16 tff(17567,plain,
% 78.29/50.16 (v100(constB142) | (~v110(constB142))),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17566, 17559])).
% 78.29/50.16 tff(17568,plain,
% 78.29/50.16 (v100(constB142)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17567, 17542])).
% 78.29/50.16 tff(17569,plain,
% 78.29/50.16 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17570,plain,
% 78.29/50.16 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17571,plain,
% 78.29/50.16 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2)),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 78.29/50.16 tff(17572,plain,
% 78.29/50.16 (v130(constB141, bitIndex2)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17571, 1877, 17503])).
% 78.29/50.16 tff(17573,plain,
% 78.29/50.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17574,plain,
% 78.29/50.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17575,plain,
% 78.29/50.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 78.29/50.16 tff(17576,plain,
% 78.29/50.16 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17575, 1431, 17519])).
% 78.29/50.16 tff(17577,plain,
% 78.29/50.16 (v127(constB141, bitIndex2)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17576, 17572])).
% 78.29/50.16 tff(17578,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17579,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17580,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17579, 17578])).
% 78.29/50.16 tff(17581,plain,
% 78.29/50.16 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17580, 1449, 17534])).
% 78.29/50.16 tff(17582,plain,
% 78.29/50.16 (v129(constB142, bitIndex2)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17581, 17577])).
% 78.29/50.16 tff(17583,plain,
% 78.29/50.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17584,plain,
% 78.29/50.16 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17585,plain,
% 78.29/50.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 78.29/50.16 inference(monotonicity,[status(thm)],[17584])).
% 78.29/50.16 tff(17586,plain,
% 78.29/50.16 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 78.29/50.16 inference(transitivity,[status(thm)],[17585, 17583])).
% 78.29/50.16 tff(17587,plain,
% 78.29/50.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17588,plain,
% 78.29/50.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17587, 17586])).
% 78.29/50.16 tff(17589,plain,
% 78.29/50.16 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17588, 1539, 17582])).
% 78.29/50.16 tff(17590,plain,
% 78.29/50.16 (v90(constB142, bitIndex2)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17589, 17568])).
% 78.29/50.16 tff(17591,plain,
% 78.29/50.16 ((~v1(constB143)) <=> (~v1(constB143))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17592,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 78.29/50.16 tff(17593,plain,
% 78.29/50.16 (~v1(constB143)),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17592, 17591])).
% 78.29/50.16 tff(17594,plain,
% 78.29/50.16 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17595,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 78.29/50.16 tff(17596,plain,
% 78.29/50.16 (nextState(constB142, constB143)),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17595, 17594])).
% 78.29/50.16 tff(17597,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17598,plain,
% 78.29/50.16 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17599,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 78.29/50.16 inference(monotonicity,[status(thm)],[17598])).
% 78.29/50.16 tff(17600,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 78.29/50.16 inference(transitivity,[status(thm)],[17599, 17597])).
% 78.29/50.16 tff(17601,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17602,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17601, 17600])).
% 78.29/50.16 tff(17603,plain,
% 78.29/50.16 (~v101(constB143)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17602, 307, 17596, 17593])).
% 78.29/50.16 tff(17604,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17605,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17606,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 78.29/50.16 tff(17607,plain,
% 78.29/50.16 (v101(constB143) | (~v100(constB143))),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17606, 324, 17596])).
% 78.29/50.16 tff(17608,plain,
% 78.29/50.16 (~v100(constB143)),
% 78.29/50.16 inference(unit_resolution,[status(thm)],[17607, 17603])).
% 78.29/50.16 tff(17609,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17610,plain,
% 78.29/50.16 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 78.29/50.16 inference(rewrite,[status(thm)],[])).
% 78.29/50.16 tff(17611,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 78.29/50.16 inference(monotonicity,[status(thm)],[17610])).
% 78.29/50.16 tff(17612,plain,
% 78.29/50.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 78.29/50.16 inference(transitivity,[status(thm)],[17611, 17609])).
% 78.29/50.16 tff(17613,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 78.29/50.16 inference(quant_inst,[status(thm)],[])).
% 78.29/50.16 tff(17614,plain,
% 78.29/50.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 78.29/50.16 inference(modus_ponens,[status(thm)],[17613, 17612])).
% 78.29/50.16 tff(17615,plain,
% 78.29/50.16 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17614, 1575, 17596])).
% 78.29/50.17 tff(17616,plain,
% 78.29/50.17 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17615, 17608])).
% 78.29/50.17 tff(17617,plain,
% 78.29/50.17 (v90(constB143, bitIndex2)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17616, 17590])).
% 78.29/50.17 tff(17618,plain,
% 78.29/50.17 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17619,plain,
% 78.29/50.17 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17620,plain,
% 78.29/50.17 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1))),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17619, 17618])).
% 78.29/50.17 tff(17621,plain,
% 78.29/50.17 (~v130(constB141, bitIndex1)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17620, 1765, 17503])).
% 78.29/50.17 tff(17622,assumption,(v127(constB141, bitIndex1)), introduced(assumption)).
% 78.29/50.17 tff(17623,assumption,(~v130(constB141, bitIndex1)), introduced(assumption)).
% 78.29/50.17 tff(17624,plain,
% 78.29/50.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17625,plain,
% 78.29/50.17 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17626,plain,
% 78.29/50.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 78.29/50.17 inference(monotonicity,[status(thm)],[17625])).
% 78.29/50.17 tff(17627,plain,
% 78.29/50.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 78.29/50.17 inference(transitivity,[status(thm)],[17626, 17624])).
% 78.29/50.17 tff(17628,plain,
% 78.29/50.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17629,plain,
% 78.29/50.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17628, 17627])).
% 78.29/50.17 tff(17630,plain,
% 78.29/50.17 ((~v127(constB141, bitIndex1)) | v26(constB141)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17629, 714, 17623])).
% 78.29/50.17 tff(17631,plain,
% 78.29/50.17 (v26(constB141)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17630, 17622])).
% 78.29/50.17 tff(17632,plain,
% 78.29/50.17 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB141)) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB141)) | (~v127(constB141, bitIndex1)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17633,plain,
% 78.29/50.17 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB141)) | (~v127(constB141, bitIndex1)))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17634,plain,
% 78.29/50.17 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB141)) | (~v127(constB141, bitIndex1))),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 78.29/50.17 tff(17635,plain,
% 78.29/50.17 ($false),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17634, 7593, 17622, 17631])).
% 78.29/50.17 tff(17636,plain,((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 78.29/50.17 tff(17637,plain,
% 78.29/50.17 (~v127(constB141, bitIndex1)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17636, 17621])).
% 78.29/50.17 tff(17638,plain,
% 78.29/50.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17639,plain,
% 78.29/50.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17640,plain,
% 78.29/50.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 78.29/50.17 tff(17641,plain,
% 78.29/50.17 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17640, 732, 17534])).
% 78.29/50.17 tff(17642,plain,
% 78.29/50.17 (~v129(constB142, bitIndex1)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17641, 17637])).
% 78.29/50.17 tff(17643,plain,
% 78.29/50.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17644,plain,
% 78.29/50.17 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17645,plain,
% 78.29/50.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 78.29/50.17 inference(monotonicity,[status(thm)],[17644])).
% 78.29/50.17 tff(17646,plain,
% 78.29/50.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 78.29/50.17 inference(transitivity,[status(thm)],[17645, 17643])).
% 78.29/50.17 tff(17647,plain,
% 78.29/50.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17648,plain,
% 78.29/50.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17647, 17646])).
% 78.29/50.17 tff(17649,plain,
% 78.29/50.17 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17648, 747, 17642])).
% 78.29/50.17 tff(17650,plain,
% 78.29/50.17 (~v90(constB142, bitIndex1)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17649, 17568])).
% 78.29/50.17 tff(17651,plain,
% 78.29/50.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17652,plain,
% 78.29/50.17 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17653,plain,
% 78.29/50.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 78.29/50.17 inference(monotonicity,[status(thm)],[17652])).
% 78.29/50.17 tff(17654,plain,
% 78.29/50.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 78.29/50.17 inference(transitivity,[status(thm)],[17653, 17651])).
% 78.29/50.17 tff(17655,plain,
% 78.29/50.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17656,plain,
% 78.29/50.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 78.29/50.17 tff(17657,plain,
% 78.29/50.17 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17656, 360, 17596])).
% 78.29/50.17 tff(17658,plain,
% 78.29/50.17 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17657, 17608])).
% 78.29/50.17 tff(17659,plain,
% 78.29/50.17 (~v90(constB143, bitIndex1)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17658, 17650])).
% 78.29/50.17 tff(17660,plain,
% 78.29/50.17 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17661,plain,
% 78.29/50.17 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17662,plain,
% 78.29/50.17 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0)),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17661, 17660])).
% 78.29/50.17 tff(17663,plain,
% 78.29/50.17 (v130(constB141, bitIndex0)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17662, 1836, 17503])).
% 78.29/50.17 tff(17664,plain,
% 78.29/50.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17665,plain,
% 78.29/50.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17666,plain,
% 78.29/50.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 78.29/50.17 tff(17667,plain,
% 78.29/50.17 ((~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17666, 788, 17519])).
% 78.29/50.17 tff(17668,plain,
% 78.29/50.17 (v127(constB141, bitIndex0)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17667, 17663])).
% 78.29/50.17 tff(17669,plain,
% 78.29/50.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17670,plain,
% 78.29/50.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 78.29/50.17 inference(quant_inst,[status(thm)],[])).
% 78.29/50.17 tff(17671,plain,
% 78.29/50.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 78.29/50.17 inference(modus_ponens,[status(thm)],[17670, 17669])).
% 78.29/50.17 tff(17672,plain,
% 78.29/50.17 ((~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17671, 803, 17534])).
% 78.29/50.17 tff(17673,plain,
% 78.29/50.17 (v129(constB142, bitIndex0)),
% 78.29/50.17 inference(unit_resolution,[status(thm)],[17672, 17668])).
% 78.29/50.17 tff(17674,plain,
% 78.29/50.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17675,plain,
% 78.29/50.17 ((v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 78.29/50.17 inference(rewrite,[status(thm)],[])).
% 78.29/50.17 tff(17676,plain,
% 78.29/50.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))))),
% 78.29/50.17 inference(monotonicity,[status(thm)],[17675])).
% 78.29/50.17 tff(17677,plain,
% 78.29/50.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 78.29/50.17 inference(transitivity,[status(thm)],[17676, 17674])).
% 78.29/50.17 tff(17678,plain,
% 78.29/50.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17679,plain,
% 78.29/50.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 78.29/50.18 tff(17680,plain,
% 78.29/50.18 (v90(constB142, bitIndex0) | (~v100(constB142))),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17679, 818, 17673])).
% 78.29/50.18 tff(17681,plain,
% 78.29/50.18 (v90(constB142, bitIndex0)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17680, 17568])).
% 78.29/50.18 tff(17682,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17683,plain,
% 78.29/50.18 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17684,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)))),
% 78.29/50.18 inference(monotonicity,[status(thm)],[17683])).
% 78.29/50.18 tff(17685,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 78.29/50.18 inference(transitivity,[status(thm)],[17684, 17682])).
% 78.29/50.18 tff(17686,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17687,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17686, 17685])).
% 78.29/50.18 tff(17688,plain,
% 78.29/50.18 ((~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17687, 836, 17596])).
% 78.29/50.18 tff(17689,plain,
% 78.29/50.18 ((~v90(constB142, bitIndex0)) | v90(constB143, bitIndex0)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17688, 17608])).
% 78.29/50.18 tff(17690,plain,
% 78.29/50.18 (v90(constB143, bitIndex0)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17689, 17681])).
% 78.29/50.18 tff(17691,plain,
% 78.29/50.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17692,plain,
% 78.29/50.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17693,plain,
% 78.29/50.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143)),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 78.29/50.18 tff(17694,plain,
% 78.29/50.18 (v124(constB143)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17693, 1919, 17690, 17659, 17617])).
% 78.29/50.18 tff(17695,plain,
% 78.29/50.18 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17696,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17697,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 78.29/50.18 tff(17698,plain,
% 78.29/50.18 (v114(constB143)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17697, 1951, 17694])).
% 78.29/50.18 tff(17699,plain,
% 78.29/50.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17700,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17701,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17700, 17699])).
% 78.29/50.18 tff(17702,plain,
% 78.29/50.18 (v113(constB143)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17701, 541, 17698])).
% 78.29/50.18 tff(17703,assumption,(v26(constB143)), introduced(assumption)).
% 78.29/50.18 tff(17704,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17705,plain,
% 78.29/50.18 ($false),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17704, 14, 17703])).
% 78.29/50.18 tff(17706,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 78.29/50.18 tff(17707,plain,
% 78.29/50.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17708,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17709,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143)),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17708, 17707])).
% 78.29/50.18 tff(17710,plain,
% 78.29/50.18 ((~v113(constB143)) | v112(constB143)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17709, 555, 17706])).
% 78.29/50.18 tff(17711,plain,
% 78.29/50.18 (v112(constB143)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17710, 17702])).
% 78.29/50.18 tff(17712,plain,
% 78.29/50.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17713,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17714,plain,
% 78.29/50.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17713, 17712])).
% 78.29/50.18 tff(17715,plain,
% 78.29/50.18 (v108(constB143)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17714, 464, 17711])).
% 78.29/50.18 tff(17716,plain,
% 78.29/50.18 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17717,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 78.29/50.18 tff(17718,plain,
% 78.29/50.18 (nextState(constB143, constB144)),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 78.29/50.18 tff(17719,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17720,plain,
% 78.29/50.18 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17721,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 78.29/50.18 inference(monotonicity,[status(thm)],[17720])).
% 78.29/50.18 tff(17722,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 78.29/50.18 inference(transitivity,[status(thm)],[17721, 17719])).
% 78.29/50.18 tff(17723,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17724,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 78.29/50.18 tff(17725,plain,
% 78.29/50.18 (v110(constB144) | (~v108(constB143))),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17724, 571, 17718])).
% 78.29/50.18 tff(17726,plain,
% 78.29/50.18 (v110(constB144)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17725, 17715])).
% 78.29/50.18 tff(17727,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17728,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17729,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 78.29/50.18 tff(17730,plain,
% 78.29/50.18 (~v104(constB144)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17729, 589, 17718, 17593])).
% 78.29/50.18 tff(17731,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17732,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17733,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 78.29/50.18 tff(17734,plain,
% 78.29/50.18 (v102(constB144) | v104(constB144)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17733, 603, 17718])).
% 78.29/50.18 tff(17735,plain,
% 78.29/50.18 (v102(constB144)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17734, 17730])).
% 78.29/50.18 tff(17736,plain,
% 78.29/50.18 (v1(constB144) <=> v1(constB144)),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17737,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 78.29/50.18 tff(17738,plain,
% 78.29/50.18 (v1(constB144)),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 78.29/50.18 tff(17739,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17740,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 78.29/50.18 inference(quant_inst,[status(thm)],[])).
% 78.29/50.18 tff(17741,plain,
% 78.29/50.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 78.29/50.18 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 78.29/50.18 tff(17742,plain,
% 78.29/50.18 (v101(constB144) | (~v102(constB144))),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17741, 621, 17718, 17738])).
% 78.29/50.18 tff(17743,plain,
% 78.29/50.18 (v101(constB144)),
% 78.29/50.18 inference(unit_resolution,[status(thm)],[17742, 17735])).
% 78.29/50.18 tff(17744,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17745,plain,
% 78.29/50.18 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 78.29/50.18 inference(rewrite,[status(thm)],[])).
% 78.29/50.18 tff(17746,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 78.29/50.18 inference(monotonicity,[status(thm)],[17745])).
% 78.29/50.18 tff(17747,plain,
% 78.29/50.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 78.29/50.19 inference(transitivity,[status(thm)],[17746, 17744])).
% 78.29/50.19 tff(17748,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17749,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 78.29/50.19 tff(17750,plain,
% 78.29/50.19 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17749, 636, 17718])).
% 78.29/50.19 tff(17751,plain,
% 78.29/50.19 (v100(constB144) | (~v110(constB144))),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17750, 17743])).
% 78.29/50.19 tff(17752,plain,
% 78.29/50.19 (v100(constB144)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17751, 17726])).
% 78.29/50.19 tff(17753,plain,
% 78.29/50.19 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17754,plain,
% 78.29/50.19 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17755,plain,
% 78.29/50.19 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2)),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17754, 17753])).
% 78.29/50.19 tff(17756,plain,
% 78.29/50.19 (v130(constB143, bitIndex2)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17755, 2050, 17694])).
% 78.29/50.19 tff(17757,plain,
% 78.29/50.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17758,plain,
% 78.29/50.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17759,plain,
% 78.29/50.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17758, 17757])).
% 78.29/50.19 tff(17760,plain,
% 78.29/50.19 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17759, 1431, 17706])).
% 78.29/50.19 tff(17761,plain,
% 78.29/50.19 (v127(constB143, bitIndex2)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17760, 17756])).
% 78.29/50.19 tff(17762,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17763,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17764,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17763, 17762])).
% 78.29/50.19 tff(17765,plain,
% 78.29/50.19 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17764, 1449, 17718])).
% 78.29/50.19 tff(17766,plain,
% 78.29/50.19 (v129(constB144, bitIndex2)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17765, 17761])).
% 78.29/50.19 tff(17767,plain,
% 78.29/50.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17768,plain,
% 78.29/50.19 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17769,plain,
% 78.29/50.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 78.29/50.19 inference(monotonicity,[status(thm)],[17768])).
% 78.29/50.19 tff(17770,plain,
% 78.29/50.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 78.29/50.19 inference(transitivity,[status(thm)],[17769, 17767])).
% 78.29/50.19 tff(17771,plain,
% 78.29/50.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17772,plain,
% 78.29/50.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 78.29/50.19 tff(17773,plain,
% 78.29/50.19 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17772, 1539, 17766])).
% 78.29/50.19 tff(17774,plain,
% 78.29/50.19 (v90(constB144, bitIndex2)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17773, 17752])).
% 78.29/50.19 tff(17775,plain,
% 78.29/50.19 ((~v1(constB145)) <=> (~v1(constB145))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17776,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 78.29/50.19 tff(17777,plain,
% 78.29/50.19 (~v1(constB145)),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 78.29/50.19 tff(17778,plain,
% 78.29/50.19 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17779,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 78.29/50.19 tff(17780,plain,
% 78.29/50.19 (nextState(constB144, constB145)),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17779, 17778])).
% 78.29/50.19 tff(17781,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17782,plain,
% 78.29/50.19 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17783,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 78.29/50.19 inference(monotonicity,[status(thm)],[17782])).
% 78.29/50.19 tff(17784,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 78.29/50.19 inference(transitivity,[status(thm)],[17783, 17781])).
% 78.29/50.19 tff(17785,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17786,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 78.29/50.19 tff(17787,plain,
% 78.29/50.19 (~v101(constB145)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17786, 307, 17780, 17777])).
% 78.29/50.19 tff(17788,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17789,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 78.29/50.19 inference(quant_inst,[status(thm)],[])).
% 78.29/50.19 tff(17790,plain,
% 78.29/50.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 78.29/50.19 inference(modus_ponens,[status(thm)],[17789, 17788])).
% 78.29/50.19 tff(17791,plain,
% 78.29/50.19 (v101(constB145) | (~v100(constB145))),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17790, 324, 17780])).
% 78.29/50.19 tff(17792,plain,
% 78.29/50.19 (~v100(constB145)),
% 78.29/50.19 inference(unit_resolution,[status(thm)],[17791, 17787])).
% 78.29/50.19 tff(17793,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17794,plain,
% 78.29/50.19 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 78.29/50.19 inference(rewrite,[status(thm)],[])).
% 78.29/50.19 tff(17795,plain,
% 78.29/50.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 78.29/50.20 inference(monotonicity,[status(thm)],[17794])).
% 78.29/50.20 tff(17796,plain,
% 78.29/50.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 78.29/50.20 inference(transitivity,[status(thm)],[17795, 17793])).
% 78.29/50.20 tff(17797,plain,
% 78.29/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 78.29/50.20 inference(quant_inst,[status(thm)],[])).
% 78.29/50.20 tff(17798,plain,
% 78.29/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 78.29/50.20 inference(modus_ponens,[status(thm)],[17797, 17796])).
% 78.29/50.20 tff(17799,plain,
% 78.29/50.20 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17798, 1575, 17780])).
% 78.29/50.20 tff(17800,plain,
% 78.29/50.20 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17799, 17792])).
% 78.29/50.20 tff(17801,plain,
% 78.29/50.20 (v90(constB145, bitIndex2)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17800, 17774])).
% 78.29/50.20 tff(17802,plain,
% 78.29/50.20 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1))),
% 78.29/50.20 inference(rewrite,[status(thm)],[])).
% 78.29/50.20 tff(17803,plain,
% 78.29/50.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))),
% 78.29/50.20 inference(quant_inst,[status(thm)],[])).
% 78.29/50.20 tff(17804,plain,
% 78.29/50.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1)),
% 78.29/50.20 inference(modus_ponens,[status(thm)],[17803, 17802])).
% 78.29/50.20 tff(17805,plain,
% 78.29/50.20 (v130(constB143, bitIndex1)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17804, 1936, 17694])).
% 78.29/50.20 tff(17806,plain,
% 78.29/50.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 78.29/50.20 inference(rewrite,[status(thm)],[])).
% 78.29/50.20 tff(17807,plain,
% 78.29/50.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 78.29/50.20 inference(quant_inst,[status(thm)],[])).
% 78.29/50.20 tff(17808,plain,
% 78.29/50.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 78.29/50.20 inference(modus_ponens,[status(thm)],[17807, 17806])).
% 78.29/50.20 tff(17809,plain,
% 78.29/50.20 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17808, 1031, 17706])).
% 78.29/50.20 tff(17810,plain,
% 78.29/50.20 (v127(constB143, bitIndex1)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17809, 17805])).
% 78.29/50.20 tff(17811,plain,
% 78.29/50.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 78.29/50.20 inference(rewrite,[status(thm)],[])).
% 78.29/50.20 tff(17812,plain,
% 78.29/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 78.29/50.20 inference(quant_inst,[status(thm)],[])).
% 78.29/50.20 tff(17813,plain,
% 78.29/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 78.29/50.20 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 78.29/50.20 tff(17814,plain,
% 78.29/50.20 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17813, 1046, 17718])).
% 78.29/50.20 tff(17815,plain,
% 78.29/50.20 (v129(constB144, bitIndex1)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17814, 17810])).
% 78.29/50.20 tff(17816,plain,
% 78.29/50.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 78.29/50.20 inference(rewrite,[status(thm)],[])).
% 78.29/50.20 tff(17817,plain,
% 78.29/50.20 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 78.29/50.20 inference(rewrite,[status(thm)],[])).
% 78.29/50.20 tff(17818,plain,
% 78.29/50.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 78.29/50.20 inference(monotonicity,[status(thm)],[17817])).
% 78.29/50.20 tff(17819,plain,
% 78.29/50.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 78.29/50.20 inference(transitivity,[status(thm)],[17818, 17816])).
% 78.29/50.20 tff(17820,plain,
% 78.29/50.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 78.29/50.20 inference(quant_inst,[status(thm)],[])).
% 78.29/50.20 tff(17821,plain,
% 78.29/50.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 78.29/50.20 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 78.29/50.20 tff(17822,plain,
% 78.29/50.20 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17821, 1061, 17815])).
% 78.29/50.20 tff(17823,plain,
% 78.29/50.20 (v90(constB144, bitIndex1)),
% 78.29/50.20 inference(unit_resolution,[status(thm)],[17822, 17752])).
% 78.29/50.20 tff(17824,plain,
% 78.29/50.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 78.29/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17825,plain,
% 78.37/50.20 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17826,plain,
% 78.37/50.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 78.37/50.20 inference(monotonicity,[status(thm)],[17825])).
% 78.37/50.20 tff(17827,plain,
% 78.37/50.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 78.37/50.20 inference(transitivity,[status(thm)],[17826, 17824])).
% 78.37/50.20 tff(17828,plain,
% 78.37/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 78.37/50.20 inference(quant_inst,[status(thm)],[])).
% 78.37/50.20 tff(17829,plain,
% 78.37/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 78.37/50.20 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 78.37/50.20 tff(17830,plain,
% 78.37/50.20 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17829, 1079, 17780])).
% 78.37/50.20 tff(17831,plain,
% 78.37/50.20 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17830, 17792])).
% 78.37/50.20 tff(17832,plain,
% 78.37/50.20 (v90(constB145, bitIndex1)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17831, 17823])).
% 78.37/50.20 tff(17833,plain,
% 78.37/50.20 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17834,plain,
% 78.37/50.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 78.37/50.20 inference(quant_inst,[status(thm)],[])).
% 78.37/50.20 tff(17835,plain,
% 78.37/50.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0))),
% 78.37/50.20 inference(modus_ponens,[status(thm)],[17834, 17833])).
% 78.37/50.20 tff(17836,plain,
% 78.37/50.20 (~v130(constB143, bitIndex0)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17835, 2112, 17694])).
% 78.37/50.20 tff(17837,plain,
% 78.37/50.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17838,plain,
% 78.37/50.20 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17839,plain,
% 78.37/50.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 78.37/50.20 inference(monotonicity,[status(thm)],[17838])).
% 78.37/50.20 tff(17840,plain,
% 78.37/50.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 78.37/50.20 inference(transitivity,[status(thm)],[17839, 17837])).
% 78.37/50.20 tff(17841,plain,
% 78.37/50.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 78.37/50.20 inference(quant_inst,[status(thm)],[])).
% 78.37/50.20 tff(17842,plain,
% 78.37/50.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 78.37/50.20 inference(modus_ponens,[status(thm)],[17841, 17840])).
% 78.37/50.20 tff(17843,plain,
% 78.37/50.20 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17842, 1112, 17706])).
% 78.37/50.20 tff(17844,plain,
% 78.37/50.20 (~v127(constB143, bitIndex0)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17843, 17836])).
% 78.37/50.20 tff(17845,plain,
% 78.37/50.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17846,plain,
% 78.37/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 78.37/50.20 inference(quant_inst,[status(thm)],[])).
% 78.37/50.20 tff(17847,plain,
% 78.37/50.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 78.37/50.20 inference(modus_ponens,[status(thm)],[17846, 17845])).
% 78.37/50.20 tff(17848,plain,
% 78.37/50.20 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17847, 1130, 17718])).
% 78.37/50.20 tff(17849,plain,
% 78.37/50.20 (~v129(constB144, bitIndex0)),
% 78.37/50.20 inference(unit_resolution,[status(thm)],[17848, 17844])).
% 78.37/50.20 tff(17850,plain,
% 78.37/50.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17851,plain,
% 78.37/50.20 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 78.37/50.20 inference(rewrite,[status(thm)],[])).
% 78.37/50.20 tff(17852,plain,
% 78.37/50.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 78.37/50.20 inference(monotonicity,[status(thm)],[17851])).
% 78.37/50.20 tff(17853,plain,
% 78.37/50.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 78.37/50.21 inference(transitivity,[status(thm)],[17852, 17850])).
% 78.37/50.21 tff(17854,plain,
% 78.37/50.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17855,plain,
% 78.37/50.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17854, 17853])).
% 78.37/50.21 tff(17856,plain,
% 78.37/50.21 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17855, 1145, 17849])).
% 78.37/50.21 tff(17857,plain,
% 78.37/50.21 (~v90(constB144, bitIndex0)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17856, 17752])).
% 78.37/50.21 tff(17858,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17859,plain,
% 78.37/50.21 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17860,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 78.37/50.21 inference(monotonicity,[status(thm)],[17859])).
% 78.37/50.21 tff(17861,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 78.37/50.21 inference(transitivity,[status(thm)],[17860, 17858])).
% 78.37/50.21 tff(17862,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17863,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17862, 17861])).
% 78.37/50.21 tff(17864,plain,
% 78.37/50.21 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17863, 381, 17780])).
% 78.37/50.21 tff(17865,plain,
% 78.37/50.21 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17864, 17792])).
% 78.37/50.21 tff(17866,plain,
% 78.37/50.21 (~v90(constB145, bitIndex0)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17865, 17857])).
% 78.37/50.21 tff(17867,plain,
% 78.37/50.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17868,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17869,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17868, 17867])).
% 78.37/50.21 tff(17870,plain,
% 78.37/50.21 (v125(constB145)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17869, 2156, 17866, 17832, 17801])).
% 78.37/50.21 tff(17871,plain,
% 78.37/50.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17872,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17873,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 78.37/50.21 tff(17874,plain,
% 78.37/50.21 (v113(constB145)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17873, 2167, 17870])).
% 78.37/50.21 tff(17875,assumption,(v26(constB145)), introduced(assumption)).
% 78.37/50.21 tff(17876,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17877,plain,
% 78.37/50.21 ($false),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17876, 14, 17875])).
% 78.37/50.21 tff(17878,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.21 tff(17879,plain,
% 78.37/50.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17880,plain,
% 78.37/50.21 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17881,plain,
% 78.37/50.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 78.37/50.21 inference(monotonicity,[status(thm)],[17880])).
% 78.37/50.21 tff(17882,plain,
% 78.37/50.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 78.37/50.21 inference(transitivity,[status(thm)],[17881, 17879])).
% 78.37/50.21 tff(17883,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17884,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17883, 17882])).
% 78.37/50.21 tff(17885,plain,
% 78.37/50.21 (v112(constB145) | (~v113(constB145))),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17884, 555, 17878])).
% 78.37/50.21 tff(17886,plain,
% 78.37/50.21 (v112(constB145)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17885, 17874])).
% 78.37/50.21 tff(17887,plain,
% 78.37/50.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17888,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17889,plain,
% 78.37/50.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17888, 17887])).
% 78.37/50.21 tff(17890,plain,
% 78.37/50.21 (v108(constB145)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17889, 464, 17886])).
% 78.37/50.21 tff(17891,plain,
% 78.37/50.21 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17892,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 78.37/50.21 tff(17893,plain,
% 78.37/50.21 (nextState(constB145, constB146)),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17892, 17891])).
% 78.37/50.21 tff(17894,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17895,plain,
% 78.37/50.21 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17896,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 78.37/50.21 inference(monotonicity,[status(thm)],[17895])).
% 78.37/50.21 tff(17897,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 78.37/50.21 inference(transitivity,[status(thm)],[17896, 17894])).
% 78.37/50.21 tff(17898,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17899,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 78.37/50.21 tff(17900,plain,
% 78.37/50.21 (v110(constB146) | (~v108(constB145))),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17899, 571, 17893])).
% 78.37/50.21 tff(17901,plain,
% 78.37/50.21 (v110(constB146)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17900, 17890])).
% 78.37/50.21 tff(17902,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17903,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17904,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17903, 17902])).
% 78.37/50.21 tff(17905,plain,
% 78.37/50.21 (~v104(constB146)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17904, 589, 17893, 17777])).
% 78.37/50.21 tff(17906,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17907,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17908,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17907, 17906])).
% 78.37/50.21 tff(17909,plain,
% 78.37/50.21 (v102(constB146) | v104(constB146)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17908, 603, 17893])).
% 78.37/50.21 tff(17910,plain,
% 78.37/50.21 (v102(constB146)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17909, 17905])).
% 78.37/50.21 tff(17911,plain,
% 78.37/50.21 (v1(constB146) <=> v1(constB146)),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17912,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 78.37/50.21 tff(17913,plain,
% 78.37/50.21 (v1(constB146)),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17912, 17911])).
% 78.37/50.21 tff(17914,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17915,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 78.37/50.21 inference(quant_inst,[status(thm)],[])).
% 78.37/50.21 tff(17916,plain,
% 78.37/50.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 78.37/50.21 inference(modus_ponens,[status(thm)],[17915, 17914])).
% 78.37/50.21 tff(17917,plain,
% 78.37/50.21 (v101(constB146) | (~v102(constB146))),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17916, 621, 17893, 17913])).
% 78.37/50.21 tff(17918,plain,
% 78.37/50.21 (v101(constB146)),
% 78.37/50.21 inference(unit_resolution,[status(thm)],[17917, 17910])).
% 78.37/50.21 tff(17919,plain,
% 78.37/50.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 78.37/50.21 inference(rewrite,[status(thm)],[])).
% 78.37/50.21 tff(17920,plain,
% 78.37/50.21 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17921,plain,
% 78.37/50.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 78.37/50.22 inference(monotonicity,[status(thm)],[17920])).
% 78.37/50.22 tff(17922,plain,
% 78.37/50.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 78.37/50.22 inference(transitivity,[status(thm)],[17921, 17919])).
% 78.37/50.22 tff(17923,plain,
% 78.37/50.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17924,plain,
% 78.37/50.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 78.37/50.22 tff(17925,plain,
% 78.37/50.22 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17924, 636, 17893])).
% 78.37/50.22 tff(17926,plain,
% 78.37/50.22 (v100(constB146) | (~v110(constB146))),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17925, 17918])).
% 78.37/50.22 tff(17927,plain,
% 78.37/50.22 (v100(constB146)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17926, 17901])).
% 78.37/50.22 tff(17928,plain,
% 78.37/50.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17929,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17930,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17929, 17928])).
% 78.37/50.22 tff(17931,plain,
% 78.37/50.22 (~v121(constB145)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17930, 2218, 17801])).
% 78.37/50.22 tff(17932,plain,
% 78.37/50.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17933,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17934,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 78.37/50.22 tff(17935,plain,
% 78.37/50.22 (~v122(constB145)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17934, 2229, 17801])).
% 78.37/50.22 tff(17936,plain,
% 78.37/50.22 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17937,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17938,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 78.37/50.22 tff(17939,plain,
% 78.37/50.22 (~v119(constB145)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17938, 2243, 17832])).
% 78.37/50.22 tff(17940,plain,
% 78.37/50.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17941,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17942,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17941, 17940])).
% 78.37/50.22 tff(17943,plain,
% 78.37/50.22 (~v120(constB145)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17942, 2254, 17832])).
% 78.37/50.22 tff(17944,plain,
% 78.37/50.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17945,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17946,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17945, 17944])).
% 78.37/50.22 tff(17947,plain,
% 78.37/50.22 (~v124(constB145)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17946, 2276, 17832])).
% 78.37/50.22 tff(17948,plain,
% 78.37/50.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17949,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17950,plain,
% 78.37/50.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17949, 17948])).
% 78.37/50.22 tff(17951,plain,
% 78.37/50.22 (~v123(constB145)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17950, 2265, 17832])).
% 78.37/50.22 tff(17952,plain,
% 78.37/50.22 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17953,plain,
% 78.37/50.22 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17954,plain,
% 78.37/50.22 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))))),
% 78.37/50.22 inference(monotonicity,[status(thm)],[17953])).
% 78.37/50.22 tff(17955,plain,
% 78.37/50.22 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 78.37/50.22 inference(transitivity,[status(thm)],[17954, 17952])).
% 78.37/50.22 tff(17956,plain,
% 78.37/50.22 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17957,plain,
% 78.37/50.22 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17956, 17955])).
% 78.37/50.22 tff(17958,plain,
% 78.37/50.22 (~v130(constB145, bitIndex2)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17957, 2290, 17951, 17947, 17943, 17939, 17935, 17931])).
% 78.37/50.22 tff(17959,plain,
% 78.37/50.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17960,plain,
% 78.37/50.22 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17961,plain,
% 78.37/50.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 78.37/50.22 inference(monotonicity,[status(thm)],[17960])).
% 78.37/50.22 tff(17962,plain,
% 78.37/50.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 78.37/50.22 inference(transitivity,[status(thm)],[17961, 17959])).
% 78.37/50.22 tff(17963,plain,
% 78.37/50.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17964,plain,
% 78.37/50.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 78.37/50.22 tff(17965,plain,
% 78.37/50.22 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17964, 430, 17878])).
% 78.37/50.22 tff(17966,plain,
% 78.37/50.22 (~v127(constB145, bitIndex2)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17965, 17958])).
% 78.37/50.22 tff(17967,plain,
% 78.37/50.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17968,plain,
% 78.37/50.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17969,plain,
% 78.37/50.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 78.37/50.22 tff(17970,plain,
% 78.37/50.22 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17969, 451, 17893])).
% 78.37/50.22 tff(17971,plain,
% 78.37/50.22 (~v129(constB146, bitIndex2)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17970, 17966])).
% 78.37/50.22 tff(17972,plain,
% 78.37/50.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17973,plain,
% 78.37/50.22 (((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17974,plain,
% 78.37/50.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))))),
% 78.37/50.22 inference(monotonicity,[status(thm)],[17973])).
% 78.37/50.22 tff(17975,plain,
% 78.37/50.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 78.37/50.22 inference(transitivity,[status(thm)],[17974, 17972])).
% 78.37/50.22 tff(17976,plain,
% 78.37/50.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))),
% 78.37/50.22 inference(quant_inst,[status(thm)],[])).
% 78.37/50.22 tff(17977,plain,
% 78.37/50.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 78.37/50.22 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 78.37/50.22 tff(17978,plain,
% 78.37/50.22 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17977, 655, 17971])).
% 78.37/50.22 tff(17979,plain,
% 78.37/50.22 (~v90(constB146, bitIndex2)),
% 78.37/50.22 inference(unit_resolution,[status(thm)],[17978, 17927])).
% 78.37/50.22 tff(17980,plain,
% 78.37/50.22 ((~v1(constB147)) <=> (~v1(constB147))),
% 78.37/50.22 inference(rewrite,[status(thm)],[])).
% 78.37/50.22 tff(17981,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 78.37/50.22 tff(17982,plain,
% 78.37/50.22 (~v1(constB147)),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 78.37/50.23 tff(17983,plain,
% 78.37/50.23 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(17984,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 78.37/50.23 tff(17985,plain,
% 78.37/50.23 (nextState(constB146, constB147)),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[17984, 17983])).
% 78.37/50.23 tff(17986,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(17987,plain,
% 78.37/50.23 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(17988,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 78.37/50.23 inference(monotonicity,[status(thm)],[17987])).
% 78.37/50.23 tff(17989,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 78.37/50.23 inference(transitivity,[status(thm)],[17988, 17986])).
% 78.37/50.23 tff(17990,plain,
% 78.37/50.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 78.37/50.23 inference(quant_inst,[status(thm)],[])).
% 78.37/50.23 tff(17991,plain,
% 78.37/50.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[17990, 17989])).
% 78.37/50.23 tff(17992,plain,
% 78.37/50.23 (~v101(constB147)),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[17991, 307, 17985, 17982])).
% 78.37/50.23 tff(17993,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(17994,plain,
% 78.37/50.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 78.37/50.23 inference(quant_inst,[status(thm)],[])).
% 78.37/50.23 tff(17995,plain,
% 78.37/50.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[17994, 17993])).
% 78.37/50.23 tff(17996,plain,
% 78.37/50.23 (v101(constB147) | (~v100(constB147))),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[17995, 324, 17985])).
% 78.37/50.23 tff(17997,plain,
% 78.37/50.23 (~v100(constB147)),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[17996, 17992])).
% 78.37/50.23 tff(17998,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(17999,plain,
% 78.37/50.23 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(18000,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 78.37/50.23 inference(monotonicity,[status(thm)],[17999])).
% 78.37/50.23 tff(18001,plain,
% 78.37/50.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 78.37/50.23 inference(transitivity,[status(thm)],[18000, 17998])).
% 78.37/50.23 tff(18002,plain,
% 78.37/50.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 78.37/50.23 inference(quant_inst,[status(thm)],[])).
% 78.37/50.23 tff(18003,plain,
% 78.37/50.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[18002, 18001])).
% 78.37/50.23 tff(18004,plain,
% 78.37/50.23 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[18003, 339, 17985])).
% 78.37/50.23 tff(18005,plain,
% 78.37/50.23 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[18004, 17997])).
% 78.37/50.23 tff(18006,plain,
% 78.37/50.23 (~v90(constB147, bitIndex2)),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[18005, 17979])).
% 78.37/50.23 tff(18007,plain,
% 78.37/50.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(18008,plain,
% 78.37/50.23 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(18009,plain,
% 78.37/50.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))))),
% 78.37/50.23 inference(monotonicity,[status(thm)],[18008])).
% 78.37/50.23 tff(18010,plain,
% 78.37/50.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 78.37/50.23 inference(transitivity,[status(thm)],[18009, 18007])).
% 78.37/50.23 tff(18011,plain,
% 78.37/50.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 78.37/50.23 inference(quant_inst,[status(thm)],[])).
% 78.37/50.23 tff(18012,plain,
% 78.37/50.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[18011, 18010])).
% 78.37/50.23 tff(18013,plain,
% 78.37/50.23 (~v130(constB145, bitIndex1)),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[18012, 2355, 17951, 17947, 17943, 17939, 17935, 17931])).
% 78.37/50.23 tff(18014,plain,
% 78.37/50.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(18015,plain,
% 78.37/50.23 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 78.37/50.23 inference(rewrite,[status(thm)],[])).
% 78.37/50.23 tff(18016,plain,
% 78.37/50.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 78.37/50.23 inference(monotonicity,[status(thm)],[18015])).
% 78.37/50.23 tff(18017,plain,
% 78.37/50.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 78.37/50.23 inference(transitivity,[status(thm)],[18016, 18014])).
% 78.37/50.23 tff(18018,plain,
% 78.37/50.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 78.37/50.23 inference(quant_inst,[status(thm)],[])).
% 78.37/50.23 tff(18019,plain,
% 78.37/50.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 78.37/50.23 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 78.37/50.23 tff(18020,plain,
% 78.37/50.23 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[18019, 714, 17878])).
% 78.37/50.23 tff(18021,plain,
% 78.37/50.23 (~v127(constB145, bitIndex1)),
% 78.37/50.23 inference(unit_resolution,[status(thm)],[18020, 18013])).
% 78.37/50.24 tff(18022,plain,
% 78.37/50.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18023,plain,
% 78.37/50.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 78.37/50.24 inference(quant_inst,[status(thm)],[])).
% 78.37/50.24 tff(18024,plain,
% 78.37/50.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 78.37/50.24 inference(modus_ponens,[status(thm)],[18023, 18022])).
% 78.37/50.24 tff(18025,plain,
% 78.37/50.24 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18024, 732, 17893])).
% 78.37/50.24 tff(18026,plain,
% 78.37/50.24 (~v129(constB146, bitIndex1)),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18025, 18021])).
% 78.37/50.24 tff(18027,plain,
% 78.37/50.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18028,plain,
% 78.37/50.24 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18029,plain,
% 78.37/50.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 78.37/50.24 inference(monotonicity,[status(thm)],[18028])).
% 78.37/50.24 tff(18030,plain,
% 78.37/50.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 78.37/50.24 inference(transitivity,[status(thm)],[18029, 18027])).
% 78.37/50.24 tff(18031,plain,
% 78.37/50.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 78.37/50.24 inference(quant_inst,[status(thm)],[])).
% 78.37/50.24 tff(18032,plain,
% 78.37/50.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 78.37/50.24 inference(modus_ponens,[status(thm)],[18031, 18030])).
% 78.37/50.24 tff(18033,plain,
% 78.37/50.24 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18032, 747, 18026])).
% 78.37/50.24 tff(18034,plain,
% 78.37/50.24 (~v90(constB146, bitIndex1)),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18033, 17927])).
% 78.37/50.24 tff(18035,plain,
% 78.37/50.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18036,plain,
% 78.37/50.24 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18037,plain,
% 78.37/50.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 78.37/50.24 inference(monotonicity,[status(thm)],[18036])).
% 78.37/50.24 tff(18038,plain,
% 78.37/50.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 78.37/50.24 inference(transitivity,[status(thm)],[18037, 18035])).
% 78.37/50.24 tff(18039,plain,
% 78.37/50.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 78.37/50.24 inference(quant_inst,[status(thm)],[])).
% 78.37/50.24 tff(18040,plain,
% 78.37/50.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 78.37/50.24 inference(modus_ponens,[status(thm)],[18039, 18038])).
% 78.37/50.24 tff(18041,plain,
% 78.37/50.24 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18040, 360, 17985])).
% 78.37/50.24 tff(18042,plain,
% 78.37/50.24 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18041, 17997])).
% 78.37/50.24 tff(18043,plain,
% 78.37/50.24 (~v90(constB147, bitIndex1)),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18042, 18034])).
% 78.37/50.24 tff(18044,plain,
% 78.37/50.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18045,plain,
% 78.37/50.24 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18046,plain,
% 78.37/50.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)))),
% 78.37/50.24 inference(monotonicity,[status(thm)],[18045])).
% 78.37/50.24 tff(18047,plain,
% 78.37/50.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 78.37/50.24 inference(transitivity,[status(thm)],[18046, 18044])).
% 78.37/50.24 tff(18048,plain,
% 78.37/50.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 78.37/50.24 inference(quant_inst,[status(thm)],[])).
% 78.37/50.24 tff(18049,plain,
% 78.37/50.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)),
% 78.37/50.24 inference(modus_ponens,[status(thm)],[18048, 18047])).
% 78.37/50.24 tff(18050,plain,
% 78.37/50.24 (v130(constB145, bitIndex0)),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18049, 2402, 17951, 17947, 17943, 17939, 17935, 17931])).
% 78.37/50.24 tff(18051,plain,
% 78.37/50.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18052,plain,
% 78.37/50.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 78.37/50.24 inference(quant_inst,[status(thm)],[])).
% 78.37/50.24 tff(18053,plain,
% 78.37/50.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 78.37/50.24 inference(modus_ponens,[status(thm)],[18052, 18051])).
% 78.37/50.24 tff(18054,plain,
% 78.37/50.24 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18053, 788, 17878])).
% 78.37/50.24 tff(18055,plain,
% 78.37/50.24 (v127(constB145, bitIndex0)),
% 78.37/50.24 inference(unit_resolution,[status(thm)],[18054, 18050])).
% 78.37/50.24 tff(18056,plain,
% 78.37/50.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 78.37/50.24 inference(rewrite,[status(thm)],[])).
% 78.37/50.24 tff(18057,plain,
% 78.37/50.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 78.37/50.24 inference(quant_inst,[status(thm)],[])).
% 78.37/50.24 tff(18058,plain,
% 78.37/50.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 78.37/50.24 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 78.37/50.25 tff(18059,plain,
% 78.37/50.25 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18058, 803, 17893])).
% 78.37/50.25 tff(18060,plain,
% 78.37/50.25 (v129(constB146, bitIndex0)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18059, 18055])).
% 78.37/50.25 tff(18061,plain,
% 78.37/50.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18062,plain,
% 78.37/50.25 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18063,plain,
% 78.37/50.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 78.37/50.25 inference(monotonicity,[status(thm)],[18062])).
% 78.37/50.25 tff(18064,plain,
% 78.37/50.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 78.37/50.25 inference(transitivity,[status(thm)],[18063, 18061])).
% 78.37/50.25 tff(18065,plain,
% 78.37/50.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18066,plain,
% 78.37/50.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18065, 18064])).
% 78.37/50.25 tff(18067,plain,
% 78.37/50.25 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18066, 818, 18060])).
% 78.37/50.25 tff(18068,plain,
% 78.37/50.25 (v90(constB146, bitIndex0)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18067, 17927])).
% 78.37/50.25 tff(18069,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18070,plain,
% 78.37/50.25 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18071,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 78.37/50.25 inference(monotonicity,[status(thm)],[18070])).
% 78.37/50.25 tff(18072,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 78.37/50.25 inference(transitivity,[status(thm)],[18071, 18069])).
% 78.37/50.25 tff(18073,plain,
% 78.37/50.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18074,plain,
% 78.37/50.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18073, 18072])).
% 78.37/50.25 tff(18075,plain,
% 78.37/50.25 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18074, 836, 17985])).
% 78.37/50.25 tff(18076,plain,
% 78.37/50.25 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18075, 17997])).
% 78.37/50.25 tff(18077,plain,
% 78.37/50.25 (v90(constB147, bitIndex0)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18076, 18068])).
% 78.37/50.25 tff(18078,plain,
% 78.37/50.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18079,plain,
% 78.37/50.25 (((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18080,plain,
% 78.37/50.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)))),
% 78.37/50.25 inference(monotonicity,[status(thm)],[18079])).
% 78.37/50.25 tff(18081,plain,
% 78.37/50.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 78.37/50.25 inference(transitivity,[status(thm)],[18080, 18078])).
% 78.37/50.25 tff(18082,plain,
% 78.37/50.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18083,plain,
% 78.37/50.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 78.37/50.25 tff(18084,plain,
% 78.37/50.25 (v120(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18083, 855, 18077, 18043, 18006])).
% 78.37/50.25 tff(18085,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18086,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18087,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18086, 18085])).
% 78.37/50.25 tff(18088,plain,
% 78.37/50.25 (v118(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18087, 908, 18084])).
% 78.37/50.25 tff(18089,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18090,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18091,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 78.37/50.25 tff(18092,plain,
% 78.37/50.25 (v117(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18091, 497, 18088])).
% 78.37/50.25 tff(18093,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18094,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18095,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18094, 18093])).
% 78.37/50.25 tff(18096,plain,
% 78.37/50.25 (v116(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18095, 508, 18092])).
% 78.37/50.25 tff(18097,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18098,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18099,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18098, 18097])).
% 78.37/50.25 tff(18100,plain,
% 78.37/50.25 (v115(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18099, 519, 18096])).
% 78.37/50.25 tff(18101,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18102,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18103,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18102, 18101])).
% 78.37/50.25 tff(18104,plain,
% 78.37/50.25 (v114(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18103, 530, 18100])).
% 78.37/50.25 tff(18105,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18106,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18107,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 78.37/50.25 tff(18108,plain,
% 78.37/50.25 (v113(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18107, 541, 18104])).
% 78.37/50.25 tff(18109,assumption,(v26(constB147)), introduced(assumption)).
% 78.37/50.25 tff(18110,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18111,plain,
% 78.37/50.25 ($false),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18110, 14, 18109])).
% 78.37/50.25 tff(18112,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.25 tff(18113,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18114,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18115,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18114, 18113])).
% 78.37/50.25 tff(18116,plain,
% 78.37/50.25 ((~v113(constB147)) | v112(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18115, 555, 18112])).
% 78.37/50.25 tff(18117,plain,
% 78.37/50.25 (v112(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18116, 18108])).
% 78.37/50.25 tff(18118,plain,
% 78.37/50.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18119,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18120,plain,
% 78.37/50.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18119, 18118])).
% 78.37/50.25 tff(18121,plain,
% 78.37/50.25 (v108(constB147)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18120, 464, 18117])).
% 78.37/50.25 tff(18122,plain,
% 78.37/50.25 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18123,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 78.37/50.25 tff(18124,plain,
% 78.37/50.25 (nextState(constB147, constB148)),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 78.37/50.25 tff(18125,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18126,plain,
% 78.37/50.25 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18127,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 78.37/50.25 inference(monotonicity,[status(thm)],[18126])).
% 78.37/50.25 tff(18128,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 78.37/50.25 inference(transitivity,[status(thm)],[18127, 18125])).
% 78.37/50.25 tff(18129,plain,
% 78.37/50.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18130,plain,
% 78.37/50.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18129, 18128])).
% 78.37/50.25 tff(18131,plain,
% 78.37/50.25 (v110(constB148) | (~v108(constB147))),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18130, 571, 18124])).
% 78.37/50.25 tff(18132,plain,
% 78.37/50.25 (v110(constB148)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18131, 18121])).
% 78.37/50.25 tff(18133,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 78.37/50.25 inference(rewrite,[status(thm)],[])).
% 78.37/50.25 tff(18134,plain,
% 78.37/50.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 78.37/50.25 inference(quant_inst,[status(thm)],[])).
% 78.37/50.25 tff(18135,plain,
% 78.37/50.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 78.37/50.25 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 78.37/50.25 tff(18136,plain,
% 78.37/50.25 (~v104(constB148)),
% 78.37/50.25 inference(unit_resolution,[status(thm)],[18135, 589, 18124, 17982])).
% 78.37/50.25 tff(18137,plain,
% 78.37/50.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18138,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18139,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 78.37/50.26 tff(18140,plain,
% 78.37/50.26 (v102(constB148) | v104(constB148)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18139, 603, 18124])).
% 78.37/50.26 tff(18141,plain,
% 78.37/50.26 (v102(constB148)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18140, 18136])).
% 78.37/50.26 tff(18142,plain,
% 78.37/50.26 (v1(constB148) <=> v1(constB148)),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18143,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 78.37/50.26 tff(18144,plain,
% 78.37/50.26 (v1(constB148)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18143, 18142])).
% 78.37/50.26 tff(18145,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18146,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18147,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 78.37/50.26 tff(18148,plain,
% 78.37/50.26 (v101(constB148) | (~v102(constB148))),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18147, 621, 18124, 18144])).
% 78.37/50.26 tff(18149,plain,
% 78.37/50.26 (v101(constB148)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18148, 18141])).
% 78.37/50.26 tff(18150,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18151,plain,
% 78.37/50.26 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18152,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 78.37/50.26 inference(monotonicity,[status(thm)],[18151])).
% 78.37/50.26 tff(18153,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 78.37/50.26 inference(transitivity,[status(thm)],[18152, 18150])).
% 78.37/50.26 tff(18154,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18155,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 78.37/50.26 tff(18156,plain,
% 78.37/50.26 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18155, 636, 18124])).
% 78.37/50.26 tff(18157,plain,
% 78.37/50.26 (v100(constB148) | (~v110(constB148))),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18156, 18149])).
% 78.37/50.26 tff(18158,plain,
% 78.37/50.26 (v100(constB148)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18157, 18132])).
% 78.37/50.26 tff(18159,plain,
% 78.37/50.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18160,plain,
% 78.37/50.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18161,plain,
% 78.37/50.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18160, 18159])).
% 78.37/50.26 tff(18162,plain,
% 78.37/50.26 (v130(constB147, bitIndex1)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18161, 1017, 18084])).
% 78.37/50.26 tff(18163,plain,
% 78.37/50.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18164,plain,
% 78.37/50.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18165,plain,
% 78.37/50.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18164, 18163])).
% 78.37/50.26 tff(18166,plain,
% 78.37/50.26 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18165, 1031, 18112])).
% 78.37/50.26 tff(18167,plain,
% 78.37/50.26 (v127(constB147, bitIndex1)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18166, 18162])).
% 78.37/50.26 tff(18168,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18169,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18170,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 78.37/50.26 tff(18171,plain,
% 78.37/50.26 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18170, 1046, 18124])).
% 78.37/50.26 tff(18172,plain,
% 78.37/50.26 (v129(constB148, bitIndex1)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18171, 18167])).
% 78.37/50.26 tff(18173,plain,
% 78.37/50.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18174,plain,
% 78.37/50.26 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18175,plain,
% 78.37/50.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 78.37/50.26 inference(monotonicity,[status(thm)],[18174])).
% 78.37/50.26 tff(18176,plain,
% 78.37/50.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 78.37/50.26 inference(transitivity,[status(thm)],[18175, 18173])).
% 78.37/50.26 tff(18177,plain,
% 78.37/50.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18178,plain,
% 78.37/50.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18177, 18176])).
% 78.37/50.26 tff(18179,plain,
% 78.37/50.26 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18178, 1061, 18172])).
% 78.37/50.26 tff(18180,plain,
% 78.37/50.26 (v90(constB148, bitIndex1)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18179, 18158])).
% 78.37/50.26 tff(18181,plain,
% 78.37/50.26 ((~v1(constB149)) <=> (~v1(constB149))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18182,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 78.37/50.26 tff(18183,plain,
% 78.37/50.26 (~v1(constB149)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 78.37/50.26 tff(18184,plain,
% 78.37/50.26 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18185,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 78.37/50.26 tff(18186,plain,
% 78.37/50.26 (nextState(constB148, constB149)),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 78.37/50.26 tff(18187,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18188,plain,
% 78.37/50.26 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.26 tff(18189,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 78.37/50.26 inference(monotonicity,[status(thm)],[18188])).
% 78.37/50.26 tff(18190,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 78.37/50.26 inference(transitivity,[status(thm)],[18189, 18187])).
% 78.37/50.26 tff(18191,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 78.37/50.26 inference(quant_inst,[status(thm)],[])).
% 78.37/50.26 tff(18192,plain,
% 78.37/50.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 78.37/50.26 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 78.37/50.26 tff(18193,plain,
% 78.37/50.26 (~v101(constB149)),
% 78.37/50.26 inference(unit_resolution,[status(thm)],[18192, 307, 18186, 18183])).
% 78.37/50.26 tff(18194,plain,
% 78.37/50.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 78.37/50.26 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18195,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18196,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 78.37/50.27 tff(18197,plain,
% 78.37/50.27 (v101(constB149) | (~v100(constB149))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18196, 324, 18186])).
% 78.37/50.27 tff(18198,plain,
% 78.37/50.27 (~v100(constB149)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18197, 18193])).
% 78.37/50.27 tff(18199,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18200,plain,
% 78.37/50.27 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18201,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 78.37/50.27 inference(monotonicity,[status(thm)],[18200])).
% 78.37/50.27 tff(18202,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 78.37/50.27 inference(transitivity,[status(thm)],[18201, 18199])).
% 78.37/50.27 tff(18203,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18204,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 78.37/50.27 tff(18205,plain,
% 78.37/50.27 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18204, 1079, 18186])).
% 78.37/50.27 tff(18206,plain,
% 78.37/50.27 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18205, 18198])).
% 78.37/50.27 tff(18207,plain,
% 78.37/50.27 (v90(constB149, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18206, 18180])).
% 78.37/50.27 tff(18208,plain,
% 78.37/50.27 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18209,plain,
% 78.37/50.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18210,plain,
% 78.37/50.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 78.37/50.27 tff(18211,plain,
% 78.37/50.27 (~v130(constB147, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18210, 1098, 18084])).
% 78.37/50.27 tff(18212,plain,
% 78.37/50.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18213,plain,
% 78.37/50.27 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18214,plain,
% 78.37/50.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 78.37/50.27 inference(monotonicity,[status(thm)],[18213])).
% 78.37/50.27 tff(18215,plain,
% 78.37/50.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 78.37/50.27 inference(transitivity,[status(thm)],[18214, 18212])).
% 78.37/50.27 tff(18216,plain,
% 78.37/50.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18217,plain,
% 78.37/50.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 78.37/50.27 tff(18218,plain,
% 78.37/50.27 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18217, 1112, 18112])).
% 78.37/50.27 tff(18219,plain,
% 78.37/50.27 (~v127(constB147, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18218, 18211])).
% 78.37/50.27 tff(18220,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18221,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18222,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 78.37/50.27 tff(18223,plain,
% 78.37/50.27 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18222, 1130, 18124])).
% 78.37/50.27 tff(18224,plain,
% 78.37/50.27 (~v129(constB148, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18223, 18219])).
% 78.37/50.27 tff(18225,plain,
% 78.37/50.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18226,plain,
% 78.37/50.27 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18227,plain,
% 78.37/50.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 78.37/50.27 inference(monotonicity,[status(thm)],[18226])).
% 78.37/50.27 tff(18228,plain,
% 78.37/50.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 78.37/50.27 inference(transitivity,[status(thm)],[18227, 18225])).
% 78.37/50.27 tff(18229,plain,
% 78.37/50.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18230,plain,
% 78.37/50.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18229, 18228])).
% 78.37/50.27 tff(18231,plain,
% 78.37/50.27 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18230, 1145, 18224])).
% 78.37/50.27 tff(18232,plain,
% 78.37/50.27 (~v90(constB148, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18231, 18158])).
% 78.37/50.27 tff(18233,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18234,plain,
% 78.37/50.27 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 78.37/50.27 inference(rewrite,[status(thm)],[])).
% 78.37/50.27 tff(18235,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 78.37/50.27 inference(monotonicity,[status(thm)],[18234])).
% 78.37/50.27 tff(18236,plain,
% 78.37/50.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 78.37/50.27 inference(transitivity,[status(thm)],[18235, 18233])).
% 78.37/50.27 tff(18237,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 78.37/50.27 inference(quant_inst,[status(thm)],[])).
% 78.37/50.27 tff(18238,plain,
% 78.37/50.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 78.37/50.27 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 78.37/50.27 tff(18239,plain,
% 78.37/50.27 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18238, 381, 18186])).
% 78.37/50.27 tff(18240,plain,
% 78.37/50.27 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18239, 18198])).
% 78.37/50.27 tff(18241,plain,
% 78.37/50.27 (~v90(constB149, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18240, 18232])).
% 78.37/50.27 tff(18242,assumption,(v124(constB143)), introduced(assumption)).
% 78.37/50.27 tff(18243,plain,
% 78.37/50.27 (v114(constB143)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17697, 1951, 18242])).
% 78.37/50.27 tff(18244,plain,
% 78.37/50.27 (v113(constB143)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17701, 541, 18243])).
% 78.37/50.27 tff(18245,plain,
% 78.37/50.27 (v112(constB143)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17710, 18244])).
% 78.37/50.27 tff(18246,plain,
% 78.37/50.27 (v108(constB143)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17714, 464, 18245])).
% 78.37/50.27 tff(18247,plain,
% 78.37/50.27 (v110(constB144)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17725, 18246])).
% 78.37/50.27 tff(18248,plain,
% 78.37/50.27 (v100(constB144)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17751, 18247])).
% 78.37/50.27 tff(18249,plain,
% 78.37/50.27 (v130(constB143, bitIndex2)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17755, 2050, 18242])).
% 78.37/50.27 tff(18250,plain,
% 78.37/50.27 (v127(constB143, bitIndex2)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17760, 18249])).
% 78.37/50.27 tff(18251,plain,
% 78.37/50.27 (v129(constB144, bitIndex2)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17765, 18250])).
% 78.37/50.27 tff(18252,plain,
% 78.37/50.27 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17772, 1539, 18251])).
% 78.37/50.27 tff(18253,plain,
% 78.37/50.27 (v90(constB144, bitIndex2)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18252, 18248])).
% 78.37/50.27 tff(18254,plain,
% 78.37/50.27 (v90(constB145, bitIndex2)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17800, 18253])).
% 78.37/50.27 tff(18255,plain,
% 78.37/50.27 (v130(constB143, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17804, 1936, 18242])).
% 78.37/50.27 tff(18256,plain,
% 78.37/50.27 (v127(constB143, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17809, 18255])).
% 78.37/50.27 tff(18257,plain,
% 78.37/50.27 (v129(constB144, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17814, 18256])).
% 78.37/50.27 tff(18258,plain,
% 78.37/50.27 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17821, 1061, 18257])).
% 78.37/50.27 tff(18259,plain,
% 78.37/50.27 (v90(constB144, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[18258, 18248])).
% 78.37/50.27 tff(18260,plain,
% 78.37/50.27 (v90(constB145, bitIndex1)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17831, 18259])).
% 78.37/50.27 tff(18261,plain,
% 78.37/50.27 (~v130(constB143, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17835, 2112, 18242])).
% 78.37/50.27 tff(18262,plain,
% 78.37/50.27 (~v127(constB143, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17843, 18261])).
% 78.37/50.27 tff(18263,plain,
% 78.37/50.27 (~v129(constB144, bitIndex0)),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17848, 18262])).
% 78.37/50.27 tff(18264,plain,
% 78.37/50.27 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 78.37/50.27 inference(unit_resolution,[status(thm)],[17855, 1145, 18263])).
% 78.37/50.28 tff(18265,plain,
% 78.37/50.28 (~v90(constB144, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18264, 18248])).
% 78.37/50.28 tff(18266,plain,
% 78.37/50.28 (~v90(constB145, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17865, 18265])).
% 78.37/50.28 tff(18267,plain,
% 78.37/50.28 (v125(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17869, 2156, 18266, 18260, 18254])).
% 78.37/50.28 tff(18268,plain,
% 78.37/50.28 (v113(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17873, 2167, 18267])).
% 78.37/50.28 tff(18269,plain,
% 78.37/50.28 (v112(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17885, 18268])).
% 78.37/50.28 tff(18270,plain,
% 78.37/50.28 (v108(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17889, 464, 18269])).
% 78.37/50.28 tff(18271,plain,
% 78.37/50.28 (v110(constB146)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17900, 18270])).
% 78.37/50.28 tff(18272,plain,
% 78.37/50.28 (v100(constB146)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17926, 18271])).
% 78.37/50.28 tff(18273,plain,
% 78.37/50.28 (~v121(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17930, 2218, 18254])).
% 78.37/50.28 tff(18274,plain,
% 78.37/50.28 (~v122(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17934, 2229, 18254])).
% 78.37/50.28 tff(18275,plain,
% 78.37/50.28 (~v119(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17938, 2243, 18260])).
% 78.37/50.28 tff(18276,plain,
% 78.37/50.28 (~v120(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17942, 2254, 18260])).
% 78.37/50.28 tff(18277,plain,
% 78.37/50.28 (~v124(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17946, 2276, 18260])).
% 78.37/50.28 tff(18278,plain,
% 78.37/50.28 (~v123(constB145)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17950, 2265, 18260])).
% 78.37/50.28 tff(18279,plain,
% 78.37/50.28 (~v130(constB145, bitIndex2)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17957, 2290, 18278, 18277, 18276, 18275, 18274, 18273])).
% 78.37/50.28 tff(18280,plain,
% 78.37/50.28 (~v127(constB145, bitIndex2)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17965, 18279])).
% 78.37/50.28 tff(18281,plain,
% 78.37/50.28 (~v129(constB146, bitIndex2)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17970, 18280])).
% 78.37/50.28 tff(18282,plain,
% 78.37/50.28 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[17977, 655, 18281])).
% 78.37/50.28 tff(18283,plain,
% 78.37/50.28 (~v90(constB146, bitIndex2)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18282, 18272])).
% 78.37/50.28 tff(18284,plain,
% 78.37/50.28 (~v90(constB147, bitIndex2)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18005, 18283])).
% 78.37/50.28 tff(18285,plain,
% 78.37/50.28 (~v130(constB145, bitIndex1)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18012, 2355, 18278, 18277, 18276, 18275, 18274, 18273])).
% 78.37/50.28 tff(18286,plain,
% 78.37/50.28 (~v127(constB145, bitIndex1)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18020, 18285])).
% 78.37/50.28 tff(18287,plain,
% 78.37/50.28 (~v129(constB146, bitIndex1)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18025, 18286])).
% 78.37/50.28 tff(18288,plain,
% 78.37/50.28 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18032, 747, 18287])).
% 78.37/50.28 tff(18289,plain,
% 78.37/50.28 (~v90(constB146, bitIndex1)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18288, 18272])).
% 78.37/50.28 tff(18290,plain,
% 78.37/50.28 (~v90(constB147, bitIndex1)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18042, 18289])).
% 78.37/50.28 tff(18291,plain,
% 78.37/50.28 (v130(constB145, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18049, 2402, 18278, 18277, 18276, 18275, 18274, 18273])).
% 78.37/50.28 tff(18292,plain,
% 78.37/50.28 (v127(constB145, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18054, 18291])).
% 78.37/50.28 tff(18293,plain,
% 78.37/50.28 (v129(constB146, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18059, 18292])).
% 78.37/50.28 tff(18294,plain,
% 78.37/50.28 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18066, 818, 18293])).
% 78.37/50.28 tff(18295,plain,
% 78.37/50.28 (v90(constB146, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18294, 18272])).
% 78.37/50.28 tff(18296,plain,
% 78.37/50.28 (v90(constB147, bitIndex0)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18076, 18295])).
% 78.37/50.28 tff(18297,plain,
% 78.37/50.28 (v120(constB147)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18083, 855, 18296, 18290, 18284])).
% 78.37/50.28 tff(18298,assumption,(v90(constB148, bitIndex2)), introduced(assumption)).
% 78.37/50.28 tff(18299,plain,
% 78.37/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 78.37/50.28 inference(rewrite,[status(thm)],[])).
% 78.37/50.28 tff(18300,plain,
% 78.37/50.28 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))) <=> (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 78.37/50.28 inference(rewrite,[status(thm)],[])).
% 78.37/50.28 tff(18301,plain,
% 78.37/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))))),
% 78.37/50.28 inference(monotonicity,[status(thm)],[18300])).
% 78.37/50.28 tff(18302,plain,
% 78.37/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 78.37/50.28 inference(transitivity,[status(thm)],[18301, 18299])).
% 78.37/50.28 tff(18303,plain,
% 78.37/50.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 78.37/50.28 inference(quant_inst,[status(thm)],[])).
% 78.37/50.28 tff(18304,plain,
% 78.37/50.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 78.37/50.28 inference(modus_ponens,[status(thm)],[18303, 18302])).
% 78.37/50.28 tff(18305,plain,
% 78.37/50.28 (v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18304, 339, 18124])).
% 78.37/50.28 tff(18306,plain,
% 78.37/50.28 (v100(constB148)),
% 78.37/50.28 inference(unit_resolution,[status(thm)],[18305, 18284, 18298])).
% 78.37/50.28 tff(18307,plain,
% 78.37/50.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 78.37/50.28 inference(rewrite,[status(thm)],[])).
% 78.37/50.28 tff(18308,plain,
% 78.37/50.28 (((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2)) <=> ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 78.37/50.28 inference(rewrite,[status(thm)],[])).
% 78.37/50.28 tff(18309,plain,
% 78.37/50.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))))),
% 78.37/50.28 inference(monotonicity,[status(thm)],[18308])).
% 78.37/50.28 tff(18310,plain,
% 78.37/50.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 78.45/50.28 inference(transitivity,[status(thm)],[18309, 18307])).
% 78.45/50.28 tff(18311,plain,
% 78.45/50.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))),
% 78.45/50.28 inference(quant_inst,[status(thm)],[])).
% 78.45/50.28 tff(18312,plain,
% 78.45/50.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 78.45/50.28 inference(modus_ponens,[status(thm)],[18311, 18310])).
% 78.45/50.28 tff(18313,plain,
% 78.45/50.28 (v129(constB148, bitIndex2) | (~v100(constB148))),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18312, 655, 18298])).
% 78.45/50.28 tff(18314,plain,
% 78.45/50.28 (v129(constB148, bitIndex2)),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18313, 18306])).
% 78.45/50.28 tff(18315,plain,
% 78.45/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 78.45/50.28 inference(rewrite,[status(thm)],[])).
% 78.45/50.28 tff(18316,plain,
% 78.45/50.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 78.45/50.28 inference(quant_inst,[status(thm)],[])).
% 78.45/50.28 tff(18317,plain,
% 78.45/50.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 78.45/50.28 inference(modus_ponens,[status(thm)],[18316, 18315])).
% 78.45/50.28 tff(18318,plain,
% 78.45/50.28 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18317, 451, 18124])).
% 78.45/50.28 tff(18319,plain,
% 78.45/50.28 (v127(constB147, bitIndex2)),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18318, 18314])).
% 78.45/50.28 tff(18320,plain,
% 78.45/50.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 78.45/50.28 inference(rewrite,[status(thm)],[])).
% 78.45/50.28 tff(18321,plain,
% 78.45/50.28 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 78.45/50.28 inference(rewrite,[status(thm)],[])).
% 78.45/50.28 tff(18322,plain,
% 78.45/50.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 78.45/50.28 inference(monotonicity,[status(thm)],[18321])).
% 78.45/50.28 tff(18323,plain,
% 78.45/50.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 78.45/50.28 inference(transitivity,[status(thm)],[18322, 18320])).
% 78.45/50.28 tff(18324,plain,
% 78.45/50.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 78.45/50.28 inference(quant_inst,[status(thm)],[])).
% 78.45/50.28 tff(18325,plain,
% 78.45/50.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 78.45/50.28 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 78.45/50.28 tff(18326,plain,
% 78.45/50.28 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18325, 430, 18112])).
% 78.45/50.28 tff(18327,plain,
% 78.45/50.28 (v130(constB147, bitIndex2)),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18326, 18319])).
% 78.45/50.28 tff(18328,plain,
% 78.45/50.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 78.45/50.28 inference(rewrite,[status(thm)],[])).
% 78.45/50.28 tff(18329,plain,
% 78.45/50.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 78.45/50.28 inference(quant_inst,[status(thm)],[])).
% 78.45/50.28 tff(18330,plain,
% 78.45/50.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 78.45/50.28 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 78.45/50.28 tff(18331,plain,
% 78.45/50.28 ($false),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18330, 872, 18327, 18297])).
% 78.45/50.28 tff(18332,plain,((~v124(constB143)) | (~v90(constB148, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.28 tff(18333,plain,
% 78.45/50.28 (~v90(constB148, bitIndex2)),
% 78.45/50.28 inference(unit_resolution,[status(thm)],[18332, 17694])).
% 78.45/50.28 tff(18334,plain,
% 78.45/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 78.45/50.28 inference(rewrite,[status(thm)],[])).
% 78.45/50.28 tff(18335,plain,
% 78.45/50.28 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 78.45/50.28 inference(rewrite,[status(thm)],[])).
% 78.45/50.28 tff(18336,plain,
% 78.45/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 78.45/50.28 inference(monotonicity,[status(thm)],[18335])).
% 78.45/50.28 tff(18337,plain,
% 78.45/50.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 78.45/50.28 inference(transitivity,[status(thm)],[18336, 18334])).
% 78.45/50.28 tff(18338,plain,
% 78.45/50.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 78.45/50.28 inference(quant_inst,[status(thm)],[])).
% 78.45/50.28 tff(18339,plain,
% 78.45/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18338, 18337])).
% 78.45/50.29 tff(18340,plain,
% 78.45/50.29 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18339, 339, 18186])).
% 78.45/50.29 tff(18341,plain,
% 78.45/50.29 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18340, 18198])).
% 78.45/50.29 tff(18342,plain,
% 78.45/50.29 (~v90(constB149, bitIndex2)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18341, 18333])).
% 78.45/50.29 tff(18343,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18344,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18345,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18344, 18343])).
% 78.45/50.29 tff(18346,plain,
% 78.45/50.29 (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v121(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18345, 1172, 18342])).
% 78.45/50.29 tff(18347,plain,
% 78.45/50.29 (v121(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18346, 18241, 18207])).
% 78.45/50.29 tff(18348,assumption,(v121(constB149)), introduced(assumption)).
% 78.45/50.29 tff(18349,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18350,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18351,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18350, 18349])).
% 78.45/50.29 tff(18352,plain,
% 78.45/50.29 (v117(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18351, 1183, 18348])).
% 78.45/50.29 tff(18353,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18354,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18355,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 78.45/50.29 tff(18356,plain,
% 78.45/50.29 (v116(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18355, 508, 18352])).
% 78.45/50.29 tff(18357,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18358,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18359,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 78.45/50.29 tff(18360,plain,
% 78.45/50.29 (v115(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18359, 519, 18356])).
% 78.45/50.29 tff(18361,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18362,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18363,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18362, 18361])).
% 78.45/50.29 tff(18364,plain,
% 78.45/50.29 (v114(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18363, 530, 18360])).
% 78.45/50.29 tff(18365,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18366,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18367,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 78.45/50.29 tff(18368,plain,
% 78.45/50.29 (v113(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18367, 541, 18364])).
% 78.45/50.29 tff(18369,assumption,(v26(constB149)), introduced(assumption)).
% 78.45/50.29 tff(18370,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18371,plain,
% 78.45/50.29 ($false),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18370, 14, 18369])).
% 78.45/50.29 tff(18372,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.29 tff(18373,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18374,plain,
% 78.45/50.29 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18375,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149))))),
% 78.45/50.29 inference(monotonicity,[status(thm)],[18374])).
% 78.45/50.29 tff(18376,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 78.45/50.29 inference(transitivity,[status(thm)],[18375, 18373])).
% 78.45/50.29 tff(18377,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18378,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18377, 18376])).
% 78.45/50.29 tff(18379,plain,
% 78.45/50.29 (v112(constB149) | (~v113(constB149))),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18378, 555, 18372])).
% 78.45/50.29 tff(18380,plain,
% 78.45/50.29 (v112(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18379, 18368])).
% 78.45/50.29 tff(18381,plain,
% 78.45/50.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18382,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18383,plain,
% 78.45/50.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 78.45/50.29 tff(18384,plain,
% 78.45/50.29 (v108(constB149)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18383, 464, 18380])).
% 78.45/50.29 tff(18385,plain,
% 78.45/50.29 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18386,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 78.45/50.29 tff(18387,plain,
% 78.45/50.29 (nextState(constB149, constB150)),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 78.45/50.29 tff(18388,plain,
% 78.45/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18389,plain,
% 78.45/50.29 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18390,plain,
% 78.45/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 78.45/50.29 inference(monotonicity,[status(thm)],[18389])).
% 78.45/50.29 tff(18391,plain,
% 78.45/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 78.45/50.29 inference(transitivity,[status(thm)],[18390, 18388])).
% 78.45/50.29 tff(18392,plain,
% 78.45/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18393,plain,
% 78.45/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 78.45/50.29 tff(18394,plain,
% 78.45/50.29 (v110(constB150) | (~v108(constB149))),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18393, 571, 18387])).
% 78.45/50.29 tff(18395,plain,
% 78.45/50.29 (v110(constB150)),
% 78.45/50.29 inference(unit_resolution,[status(thm)],[18394, 18384])).
% 78.45/50.29 tff(18396,plain,
% 78.45/50.29 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 78.45/50.29 inference(rewrite,[status(thm)],[])).
% 78.45/50.29 tff(18397,plain,
% 78.45/50.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 78.45/50.29 inference(quant_inst,[status(thm)],[])).
% 78.45/50.29 tff(18398,plain,
% 78.45/50.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 78.45/50.29 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 78.45/50.29 tff(18399,plain,
% 78.45/50.29 (~v104(constB150)),
% 78.46/50.29 inference(unit_resolution,[status(thm)],[18398, 589, 18387, 18183])).
% 78.46/50.29 tff(18400,plain,
% 78.46/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 78.46/50.29 inference(rewrite,[status(thm)],[])).
% 78.46/50.29 tff(18401,plain,
% 78.46/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 78.46/50.29 inference(quant_inst,[status(thm)],[])).
% 78.46/50.29 tff(18402,plain,
% 78.46/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 78.46/50.29 inference(modus_ponens,[status(thm)],[18401, 18400])).
% 78.46/50.29 tff(18403,plain,
% 78.46/50.29 (v102(constB150) | v104(constB150)),
% 78.46/50.29 inference(unit_resolution,[status(thm)],[18402, 603, 18387])).
% 78.46/50.29 tff(18404,plain,
% 78.46/50.29 (v102(constB150)),
% 78.46/50.29 inference(unit_resolution,[status(thm)],[18403, 18399])).
% 78.46/50.29 tff(18405,plain,
% 78.46/50.29 (v1(constB150) <=> v1(constB150)),
% 78.46/50.29 inference(rewrite,[status(thm)],[])).
% 78.46/50.29 tff(18406,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 78.46/50.29 tff(18407,plain,
% 78.46/50.29 (v1(constB150)),
% 78.46/50.29 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 78.46/50.29 tff(18408,plain,
% 78.46/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 78.46/50.29 inference(rewrite,[status(thm)],[])).
% 78.46/50.29 tff(18409,plain,
% 78.46/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 78.46/50.29 inference(quant_inst,[status(thm)],[])).
% 78.46/50.29 tff(18410,plain,
% 78.46/50.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 78.46/50.29 inference(modus_ponens,[status(thm)],[18409, 18408])).
% 78.46/50.29 tff(18411,plain,
% 78.46/50.29 (v101(constB150) | (~v102(constB150))),
% 78.46/50.29 inference(unit_resolution,[status(thm)],[18410, 621, 18387, 18407])).
% 78.46/50.29 tff(18412,plain,
% 78.46/50.29 (v101(constB150)),
% 78.46/50.29 inference(unit_resolution,[status(thm)],[18411, 18404])).
% 78.46/50.29 tff(18413,plain,
% 78.46/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 78.46/50.29 inference(rewrite,[status(thm)],[])).
% 78.46/50.29 tff(18414,plain,
% 78.46/50.29 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 78.46/50.29 inference(rewrite,[status(thm)],[])).
% 78.46/50.29 tff(18415,plain,
% 78.46/50.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 78.46/50.29 inference(monotonicity,[status(thm)],[18414])).
% 78.46/50.30 tff(18416,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 78.46/50.30 inference(transitivity,[status(thm)],[18415, 18413])).
% 78.46/50.30 tff(18417,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18418,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 78.46/50.30 tff(18419,plain,
% 78.46/50.30 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18418, 636, 18387])).
% 78.46/50.30 tff(18420,plain,
% 78.46/50.30 (v100(constB150) | (~v110(constB150))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18419, 18412])).
% 78.46/50.30 tff(18421,plain,
% 78.46/50.30 (v100(constB150)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18420, 18395])).
% 78.46/50.30 tff(18422,plain,
% 78.46/50.30 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18423,plain,
% 78.46/50.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18424,plain,
% 78.46/50.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18423, 18422])).
% 78.46/50.30 tff(18425,plain,
% 78.46/50.30 (~v130(constB149, bitIndex2)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18424, 1259, 18348])).
% 78.46/50.30 tff(18426,plain,
% 78.46/50.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18427,plain,
% 78.46/50.30 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18428,plain,
% 78.46/50.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 78.46/50.30 inference(monotonicity,[status(thm)],[18427])).
% 78.46/50.30 tff(18429,plain,
% 78.46/50.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 78.46/50.30 inference(transitivity,[status(thm)],[18428, 18426])).
% 78.46/50.30 tff(18430,plain,
% 78.46/50.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18431,plain,
% 78.46/50.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 78.46/50.30 tff(18432,plain,
% 78.46/50.30 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18431, 430, 18372])).
% 78.46/50.30 tff(18433,plain,
% 78.46/50.30 (~v127(constB149, bitIndex2)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18432, 18425])).
% 78.46/50.30 tff(18434,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18435,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18436,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18435, 18434])).
% 78.46/50.30 tff(18437,plain,
% 78.46/50.30 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18436, 451, 18387])).
% 78.46/50.30 tff(18438,plain,
% 78.46/50.30 (~v129(constB150, bitIndex2)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18437, 18433])).
% 78.46/50.30 tff(18439,plain,
% 78.46/50.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18440,plain,
% 78.46/50.30 (((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18441,plain,
% 78.46/50.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))))),
% 78.46/50.30 inference(monotonicity,[status(thm)],[18440])).
% 78.46/50.30 tff(18442,plain,
% 78.46/50.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 78.46/50.30 inference(transitivity,[status(thm)],[18441, 18439])).
% 78.46/50.30 tff(18443,plain,
% 78.46/50.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18444,plain,
% 78.46/50.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18443, 18442])).
% 78.46/50.30 tff(18445,plain,
% 78.46/50.30 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18444, 655, 18438])).
% 78.46/50.30 tff(18446,plain,
% 78.46/50.30 (~v90(constB150, bitIndex2)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18445, 18421])).
% 78.46/50.30 tff(18447,plain,
% 78.46/50.30 ((~v1(constB151)) <=> (~v1(constB151))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18448,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 78.46/50.30 tff(18449,plain,
% 78.46/50.30 (~v1(constB151)),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 78.46/50.30 tff(18450,plain,
% 78.46/50.30 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18451,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 78.46/50.30 tff(18452,plain,
% 78.46/50.30 (nextState(constB150, constB151)),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18451, 18450])).
% 78.46/50.30 tff(18453,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18454,plain,
% 78.46/50.30 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18455,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 78.46/50.30 inference(monotonicity,[status(thm)],[18454])).
% 78.46/50.30 tff(18456,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 78.46/50.30 inference(transitivity,[status(thm)],[18455, 18453])).
% 78.46/50.30 tff(18457,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18458,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18457, 18456])).
% 78.46/50.30 tff(18459,plain,
% 78.46/50.30 (~v101(constB151)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18458, 307, 18452, 18449])).
% 78.46/50.30 tff(18460,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18461,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18462,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 78.46/50.30 tff(18463,plain,
% 78.46/50.30 (v101(constB151) | (~v100(constB151))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18462, 324, 18452])).
% 78.46/50.30 tff(18464,plain,
% 78.46/50.30 (~v100(constB151)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18463, 18459])).
% 78.46/50.30 tff(18465,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18466,plain,
% 78.46/50.30 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18467,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 78.46/50.30 inference(monotonicity,[status(thm)],[18466])).
% 78.46/50.30 tff(18468,plain,
% 78.46/50.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 78.46/50.30 inference(transitivity,[status(thm)],[18467, 18465])).
% 78.46/50.30 tff(18469,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18470,plain,
% 78.46/50.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18469, 18468])).
% 78.46/50.30 tff(18471,plain,
% 78.46/50.30 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18470, 339, 18452])).
% 78.46/50.30 tff(18472,plain,
% 78.46/50.30 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18471, 18464])).
% 78.46/50.30 tff(18473,plain,
% 78.46/50.30 (~v90(constB151, bitIndex2)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18472, 18446])).
% 78.46/50.30 tff(18474,plain,
% 78.46/50.30 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 78.46/50.30 inference(rewrite,[status(thm)],[])).
% 78.46/50.30 tff(18475,plain,
% 78.46/50.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 78.46/50.30 inference(quant_inst,[status(thm)],[])).
% 78.46/50.30 tff(18476,plain,
% 78.46/50.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 78.46/50.30 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 78.46/50.30 tff(18477,plain,
% 78.46/50.30 (v130(constB149, bitIndex0)),
% 78.46/50.30 inference(unit_resolution,[status(thm)],[18476, 1362, 18348])).
% 78.46/50.30 tff(18478,plain,
% 78.46/50.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18479,plain,
% 78.48/50.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18480,plain,
% 78.48/50.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18479, 18478])).
% 78.48/50.31 tff(18481,plain,
% 78.48/50.31 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18480, 788, 18372])).
% 78.48/50.31 tff(18482,plain,
% 78.48/50.31 (v127(constB149, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18481, 18477])).
% 78.48/50.31 tff(18483,plain,
% 78.48/50.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18484,plain,
% 78.48/50.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18485,plain,
% 78.48/50.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 78.48/50.31 tff(18486,plain,
% 78.48/50.31 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18485, 803, 18387])).
% 78.48/50.31 tff(18487,plain,
% 78.48/50.31 (v129(constB150, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18486, 18482])).
% 78.48/50.31 tff(18488,plain,
% 78.48/50.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18489,plain,
% 78.48/50.31 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18490,plain,
% 78.48/50.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 78.48/50.31 inference(monotonicity,[status(thm)],[18489])).
% 78.48/50.31 tff(18491,plain,
% 78.48/50.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 78.48/50.31 inference(transitivity,[status(thm)],[18490, 18488])).
% 78.48/50.31 tff(18492,plain,
% 78.48/50.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18493,plain,
% 78.48/50.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18492, 18491])).
% 78.48/50.31 tff(18494,plain,
% 78.48/50.31 (v90(constB150, bitIndex0) | (~v100(constB150))),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18493, 818, 18487])).
% 78.48/50.31 tff(18495,plain,
% 78.48/50.31 (v90(constB150, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18494, 18421])).
% 78.48/50.31 tff(18496,plain,
% 78.48/50.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18497,plain,
% 78.48/50.31 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18498,plain,
% 78.48/50.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 78.48/50.31 inference(monotonicity,[status(thm)],[18497])).
% 78.48/50.31 tff(18499,plain,
% 78.48/50.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 78.48/50.31 inference(transitivity,[status(thm)],[18498, 18496])).
% 78.48/50.31 tff(18500,plain,
% 78.48/50.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18501,plain,
% 78.48/50.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18500, 18499])).
% 78.48/50.31 tff(18502,plain,
% 78.48/50.31 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18501, 836, 18452])).
% 78.48/50.31 tff(18503,plain,
% 78.48/50.31 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18502, 18464])).
% 78.48/50.31 tff(18504,plain,
% 78.48/50.31 (v90(constB151, bitIndex0)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18503, 18495])).
% 78.48/50.31 tff(18505,plain,
% 78.48/50.31 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18506,plain,
% 78.48/50.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18507,plain,
% 78.48/50.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 78.48/50.31 tff(18508,plain,
% 78.48/50.31 (v130(constB149, bitIndex1)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18507, 1321, 18348])).
% 78.48/50.31 tff(18509,plain,
% 78.48/50.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18510,plain,
% 78.48/50.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18511,plain,
% 78.48/50.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18510, 18509])).
% 78.48/50.31 tff(18512,plain,
% 78.48/50.31 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18511, 1031, 18372])).
% 78.48/50.31 tff(18513,plain,
% 78.48/50.31 (v127(constB149, bitIndex1)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18512, 18508])).
% 78.48/50.31 tff(18514,plain,
% 78.48/50.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18515,plain,
% 78.48/50.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 78.48/50.31 inference(quant_inst,[status(thm)],[])).
% 78.48/50.31 tff(18516,plain,
% 78.48/50.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 78.48/50.31 inference(modus_ponens,[status(thm)],[18515, 18514])).
% 78.48/50.31 tff(18517,plain,
% 78.48/50.31 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18516, 1046, 18387])).
% 78.48/50.31 tff(18518,plain,
% 78.48/50.31 (v129(constB150, bitIndex1)),
% 78.48/50.31 inference(unit_resolution,[status(thm)],[18517, 18513])).
% 78.48/50.31 tff(18519,plain,
% 78.48/50.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18520,plain,
% 78.48/50.31 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 78.48/50.31 inference(rewrite,[status(thm)],[])).
% 78.48/50.31 tff(18521,plain,
% 78.48/50.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 78.48/50.32 inference(monotonicity,[status(thm)],[18520])).
% 78.48/50.32 tff(18522,plain,
% 78.48/50.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 78.48/50.32 inference(transitivity,[status(thm)],[18521, 18519])).
% 78.48/50.32 tff(18523,plain,
% 78.48/50.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18524,plain,
% 78.48/50.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18523, 18522])).
% 78.48/50.32 tff(18525,plain,
% 78.48/50.32 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18524, 1061, 18518])).
% 78.48/50.32 tff(18526,plain,
% 78.48/50.32 (v90(constB150, bitIndex1)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18525, 18421])).
% 78.48/50.32 tff(18527,plain,
% 78.48/50.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18528,plain,
% 78.48/50.32 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18529,plain,
% 78.48/50.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 78.48/50.32 inference(monotonicity,[status(thm)],[18528])).
% 78.48/50.32 tff(18530,plain,
% 78.48/50.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 78.48/50.32 inference(transitivity,[status(thm)],[18529, 18527])).
% 78.48/50.32 tff(18531,plain,
% 78.48/50.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18532,plain,
% 78.48/50.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 78.48/50.32 tff(18533,plain,
% 78.48/50.32 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18532, 1079, 18452])).
% 78.48/50.32 tff(18534,plain,
% 78.48/50.32 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18533, 18464])).
% 78.48/50.32 tff(18535,plain,
% 78.48/50.32 (v90(constB151, bitIndex1)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18534, 18526])).
% 78.48/50.32 tff(18536,assumption,(~v122(constB151)), introduced(assumption)).
% 78.48/50.32 tff(18537,plain,
% 78.48/50.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18538,plain,
% 78.48/50.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18539,plain,
% 78.48/50.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 78.48/50.32 tff(18540,plain,
% 78.48/50.32 ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18539, 1403, 18536])).
% 78.48/50.32 tff(18541,plain,
% 78.48/50.32 ($false),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18540, 18535, 18504, 18473])).
% 78.48/50.32 tff(18542,plain,((~v121(constB149)) | v122(constB151)), inference(lemma,lemma(discharge,[]))).
% 78.48/50.32 tff(18543,plain,
% 78.48/50.32 (v122(constB151)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18542, 18347])).
% 78.48/50.32 tff(18544,plain,
% 78.48/50.32 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18545,plain,
% 78.48/50.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18546,plain,
% 78.48/50.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 78.48/50.32 tff(18547,plain,
% 78.48/50.32 (~v130(constB151, bitIndex0)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18546, 1638, 18543])).
% 78.48/50.32 tff(18548,assumption,(v26(constB151)), introduced(assumption)).
% 78.48/50.32 tff(18549,plain,
% 78.48/50.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18550,plain,
% 78.48/50.32 ($false),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18549, 14, 18548])).
% 78.48/50.32 tff(18551,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 78.48/50.32 tff(18552,plain,
% 78.48/50.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18553,plain,
% 78.48/50.32 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18554,plain,
% 78.48/50.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 78.48/50.32 inference(monotonicity,[status(thm)],[18553])).
% 78.48/50.32 tff(18555,plain,
% 78.48/50.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 78.48/50.32 inference(transitivity,[status(thm)],[18554, 18552])).
% 78.48/50.32 tff(18556,plain,
% 78.48/50.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18557,plain,
% 78.48/50.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18556, 18555])).
% 78.48/50.32 tff(18558,plain,
% 78.48/50.32 ((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18557, 1112, 18551])).
% 78.48/50.32 tff(18559,plain,
% 78.48/50.32 (~v127(constB151, bitIndex0)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18558, 18547])).
% 78.48/50.32 tff(18560,plain,
% 78.48/50.32 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18561,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 78.48/50.32 tff(18562,plain,
% 78.48/50.32 (nextState(constB151, constB152)),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18561, 18560])).
% 78.48/50.32 tff(18563,plain,
% 78.48/50.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18564,plain,
% 78.48/50.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18565,plain,
% 78.48/50.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18564, 18563])).
% 78.48/50.32 tff(18566,plain,
% 78.48/50.32 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18565, 1130, 18562])).
% 78.48/50.32 tff(18567,plain,
% 78.48/50.32 (~v129(constB152, bitIndex0)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18566, 18559])).
% 78.48/50.32 tff(18568,assumption,(v122(constB151)), introduced(assumption)).
% 78.48/50.32 tff(18569,plain,
% 78.48/50.32 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151)))),
% 78.48/50.32 inference(rewrite,[status(thm)],[])).
% 78.48/50.32 tff(18570,plain,
% 78.48/50.32 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))),
% 78.48/50.32 inference(quant_inst,[status(thm)],[])).
% 78.48/50.32 tff(18571,plain,
% 78.48/50.32 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151))),
% 78.48/50.32 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 78.48/50.32 tff(18572,plain,
% 78.48/50.32 (v116(constB151)),
% 78.48/50.32 inference(unit_resolution,[status(thm)],[18571, 1470, 18568])).
% 78.48/50.32 tff(18573,plain,
% 78.48/50.32 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18574,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18575,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 78.48/50.33 tff(18576,plain,
% 78.48/50.33 (v115(constB151)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18575, 519, 18572])).
% 78.48/50.33 tff(18577,plain,
% 78.48/50.33 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18578,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18579,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18578, 18577])).
% 78.48/50.33 tff(18580,plain,
% 78.48/50.33 (v114(constB151)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18579, 530, 18576])).
% 78.48/50.33 tff(18581,plain,
% 78.48/50.33 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18582,plain,
% 78.48/50.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18583,plain,
% 78.48/50.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 78.48/50.33 tff(18584,plain,
% 78.48/50.33 (v130(constB151, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18583, 1417, 18568])).
% 78.48/50.33 tff(18585,plain,
% 78.48/50.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18586,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18587,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18586, 18585])).
% 78.48/50.33 tff(18588,plain,
% 78.48/50.33 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18587, 1431, 18551])).
% 78.48/50.33 tff(18589,plain,
% 78.48/50.33 (v127(constB151, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18588, 18584])).
% 78.48/50.33 tff(18590,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18591,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18592,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18591, 18590])).
% 78.48/50.33 tff(18593,plain,
% 78.48/50.33 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18592, 1449, 18562])).
% 78.48/50.33 tff(18594,plain,
% 78.48/50.33 (v129(constB152, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18593, 18589])).
% 78.48/50.33 tff(18595,assumption,(~v90(constB152, bitIndex2)), introduced(assumption)).
% 78.48/50.33 tff(18596,plain,
% 78.48/50.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18597,plain,
% 78.48/50.33 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18598,plain,
% 78.48/50.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 78.48/50.33 inference(monotonicity,[status(thm)],[18597])).
% 78.48/50.33 tff(18599,plain,
% 78.48/50.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 78.48/50.33 inference(transitivity,[status(thm)],[18598, 18596])).
% 78.48/50.33 tff(18600,plain,
% 78.48/50.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18601,plain,
% 78.48/50.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 78.48/50.33 tff(18602,plain,
% 78.48/50.33 ((~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18601, 1539, 18595])).
% 78.48/50.33 tff(18603,plain,
% 78.48/50.33 (~v100(constB152)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18602, 18594])).
% 78.48/50.33 tff(18604,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18605,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18606,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18605, 18604])).
% 78.48/50.33 tff(18607,plain,
% 78.48/50.33 (~v104(constB152)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18606, 589, 18562, 18449])).
% 78.48/50.33 tff(18608,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18609,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18610,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18609, 18608])).
% 78.48/50.33 tff(18611,plain,
% 78.48/50.33 (v102(constB152) | v104(constB152)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18610, 603, 18562])).
% 78.48/50.33 tff(18612,plain,
% 78.48/50.33 (v102(constB152)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18611, 18607])).
% 78.48/50.33 tff(18613,plain,
% 78.48/50.33 (v1(constB152) <=> v1(constB152)),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18614,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 78.48/50.33 tff(18615,plain,
% 78.48/50.33 (v1(constB152)),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18614, 18613])).
% 78.48/50.33 tff(18616,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18617,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18618,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 78.48/50.33 tff(18619,plain,
% 78.48/50.33 (v101(constB152) | (~v102(constB152))),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18618, 621, 18562, 18615])).
% 78.48/50.33 tff(18620,plain,
% 78.48/50.33 (v101(constB152)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18619, 18612])).
% 78.48/50.33 tff(18621,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18622,plain,
% 78.48/50.33 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18623,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 78.48/50.33 inference(monotonicity,[status(thm)],[18622])).
% 78.48/50.33 tff(18624,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 78.48/50.33 inference(transitivity,[status(thm)],[18623, 18621])).
% 78.48/50.33 tff(18625,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18626,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18625, 18624])).
% 78.48/50.33 tff(18627,plain,
% 78.48/50.33 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18626, 636, 18562])).
% 78.48/50.33 tff(18628,plain,
% 78.48/50.33 (v100(constB152) | (~v110(constB152))),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18627, 18620])).
% 78.48/50.33 tff(18629,plain,
% 78.48/50.33 (~v110(constB152)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18628, 18603])).
% 78.48/50.33 tff(18630,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18631,plain,
% 78.48/50.33 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18632,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 78.48/50.33 inference(monotonicity,[status(thm)],[18631])).
% 78.48/50.33 tff(18633,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 78.48/50.33 inference(transitivity,[status(thm)],[18632, 18630])).
% 78.48/50.33 tff(18634,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18635,plain,
% 78.48/50.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18634, 18633])).
% 78.48/50.33 tff(18636,plain,
% 78.48/50.33 (v110(constB152) | (~v108(constB151))),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18635, 571, 18562])).
% 78.48/50.33 tff(18637,plain,
% 78.48/50.33 (~v108(constB151)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18636, 18629])).
% 78.48/50.33 tff(18638,plain,
% 78.48/50.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18639,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18640,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18639, 18638])).
% 78.48/50.33 tff(18641,plain,
% 78.48/50.33 (~v112(constB151)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18640, 464, 18637])).
% 78.48/50.33 tff(18642,plain,
% 78.48/50.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18643,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18644,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151)),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18643, 18642])).
% 78.48/50.33 tff(18645,plain,
% 78.48/50.33 ((~v113(constB151)) | v112(constB151)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18644, 555, 18551])).
% 78.48/50.33 tff(18646,plain,
% 78.48/50.33 (~v113(constB151)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18645, 18641])).
% 78.48/50.33 tff(18647,plain,
% 78.48/50.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151)))),
% 78.48/50.33 inference(rewrite,[status(thm)],[])).
% 78.48/50.33 tff(18648,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))),
% 78.48/50.33 inference(quant_inst,[status(thm)],[])).
% 78.48/50.33 tff(18649,plain,
% 78.48/50.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151))),
% 78.48/50.33 inference(modus_ponens,[status(thm)],[18648, 18647])).
% 78.48/50.33 tff(18650,plain,
% 78.48/50.33 ($false),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18649, 541, 18646, 18580])).
% 78.48/50.33 tff(18651,plain,((~v122(constB151)) | v90(constB152, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 78.48/50.33 tff(18652,plain,
% 78.48/50.33 (v90(constB152, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18651, 18543])).
% 78.48/50.33 tff(18653,plain,
% 78.48/50.33 (v117(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18351, 1183, 18347])).
% 78.48/50.33 tff(18654,plain,
% 78.48/50.33 (v116(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18355, 508, 18653])).
% 78.48/50.33 tff(18655,plain,
% 78.48/50.33 (v115(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18359, 519, 18654])).
% 78.48/50.33 tff(18656,plain,
% 78.48/50.33 (v114(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18363, 530, 18655])).
% 78.48/50.33 tff(18657,plain,
% 78.48/50.33 (v113(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18367, 541, 18656])).
% 78.48/50.33 tff(18658,plain,
% 78.48/50.33 (v112(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18379, 18657])).
% 78.48/50.33 tff(18659,plain,
% 78.48/50.33 (v108(constB149)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18383, 464, 18658])).
% 78.48/50.33 tff(18660,plain,
% 78.48/50.33 (v110(constB150)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18394, 18659])).
% 78.48/50.33 tff(18661,plain,
% 78.48/50.33 (v100(constB150)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18420, 18660])).
% 78.48/50.33 tff(18662,plain,
% 78.48/50.33 (~v130(constB149, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18424, 1259, 18347])).
% 78.48/50.33 tff(18663,plain,
% 78.48/50.33 (~v127(constB149, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18432, 18662])).
% 78.48/50.33 tff(18664,plain,
% 78.48/50.33 (~v129(constB150, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18437, 18663])).
% 78.48/50.33 tff(18665,plain,
% 78.48/50.33 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18444, 655, 18664])).
% 78.48/50.33 tff(18666,plain,
% 78.48/50.33 (~v90(constB150, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18665, 18661])).
% 78.48/50.33 tff(18667,plain,
% 78.48/50.33 (~v90(constB151, bitIndex2)),
% 78.48/50.33 inference(unit_resolution,[status(thm)],[18472, 18666])).
% 78.48/50.33 tff(18668,plain,
% 78.48/50.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18669,plain,
% 78.48/50.34 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2))) <=> (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18670,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2))))),
% 78.48/50.34 inference(monotonicity,[status(thm)],[18669])).
% 78.48/50.34 tff(18671,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 78.48/50.34 inference(transitivity,[status(thm)],[18670, 18668])).
% 78.48/50.34 tff(18672,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 78.48/50.34 inference(quant_inst,[status(thm)],[])).
% 78.48/50.34 tff(18673,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2))),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18672, 18671])).
% 78.48/50.34 tff(18674,plain,
% 78.48/50.34 (v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2))),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18673, 339, 18562])).
% 78.48/50.34 tff(18675,plain,
% 78.48/50.34 (v100(constB152)),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18674, 18667, 18652])).
% 78.48/50.34 tff(18676,plain,
% 78.48/50.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18677,plain,
% 78.48/50.34 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18678,plain,
% 78.48/50.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 78.48/50.34 inference(monotonicity,[status(thm)],[18677])).
% 78.48/50.34 tff(18679,plain,
% 78.48/50.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 78.48/50.34 inference(transitivity,[status(thm)],[18678, 18676])).
% 78.48/50.34 tff(18680,plain,
% 78.48/50.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 78.48/50.34 inference(quant_inst,[status(thm)],[])).
% 78.48/50.34 tff(18681,plain,
% 78.48/50.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 78.48/50.34 tff(18682,plain,
% 78.48/50.34 ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0)),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18681, 1145, 18675])).
% 78.48/50.34 tff(18683,plain,
% 78.48/50.34 (~v90(constB152, bitIndex0)),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18682, 18567])).
% 78.48/50.34 tff(18684,plain,
% 78.48/50.34 ((~v1(constB153)) <=> (~v1(constB153))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18685,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 78.48/50.34 tff(18686,plain,
% 78.48/50.34 (~v1(constB153)),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18685, 18684])).
% 78.48/50.34 tff(18687,plain,
% 78.48/50.34 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18688,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 78.48/50.34 tff(18689,plain,
% 78.48/50.34 (nextState(constB152, constB153)),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 78.48/50.34 tff(18690,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18691,plain,
% 78.48/50.34 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18692,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 78.48/50.34 inference(monotonicity,[status(thm)],[18691])).
% 78.48/50.34 tff(18693,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 78.48/50.34 inference(transitivity,[status(thm)],[18692, 18690])).
% 78.48/50.34 tff(18694,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 78.48/50.34 inference(quant_inst,[status(thm)],[])).
% 78.48/50.34 tff(18695,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18694, 18693])).
% 78.48/50.34 tff(18696,plain,
% 78.48/50.34 (~v101(constB153)),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18695, 307, 18689, 18686])).
% 78.48/50.34 tff(18697,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18698,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 78.48/50.34 inference(quant_inst,[status(thm)],[])).
% 78.48/50.34 tff(18699,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 78.48/50.34 tff(18700,plain,
% 78.48/50.34 (v101(constB153) | (~v100(constB153))),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18699, 324, 18689])).
% 78.48/50.34 tff(18701,plain,
% 78.48/50.34 (~v100(constB153)),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18700, 18696])).
% 78.48/50.34 tff(18702,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18703,plain,
% 78.48/50.34 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 78.48/50.34 inference(rewrite,[status(thm)],[])).
% 78.48/50.34 tff(18704,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 78.48/50.34 inference(monotonicity,[status(thm)],[18703])).
% 78.48/50.34 tff(18705,plain,
% 78.48/50.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 78.48/50.34 inference(transitivity,[status(thm)],[18704, 18702])).
% 78.48/50.34 tff(18706,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 78.48/50.34 inference(quant_inst,[status(thm)],[])).
% 78.48/50.34 tff(18707,plain,
% 78.48/50.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 78.48/50.34 inference(modus_ponens,[status(thm)],[18706, 18705])).
% 78.48/50.34 tff(18708,plain,
% 78.48/50.34 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18707, 381, 18689])).
% 78.48/50.34 tff(18709,plain,
% 78.48/50.34 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18708, 18701])).
% 78.48/50.34 tff(18710,plain,
% 78.48/50.34 (~v90(constB153, bitIndex0)),
% 78.48/50.34 inference(unit_resolution,[status(thm)],[18709, 18683])).
% 78.48/50.34 tff(18711,plain,
% 78.48/50.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18712,plain,
% 78.48/50.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 78.48/50.35 inference(quant_inst,[status(thm)],[])).
% 78.48/50.35 tff(18713,plain,
% 78.48/50.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 78.48/50.35 inference(modus_ponens,[status(thm)],[18712, 18711])).
% 78.48/50.35 tff(18714,plain,
% 78.48/50.35 (~v130(constB151, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18713, 1594, 18543])).
% 78.48/50.35 tff(18715,plain,
% 78.48/50.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18716,plain,
% 78.48/50.35 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18717,plain,
% 78.48/50.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 78.48/50.35 inference(monotonicity,[status(thm)],[18716])).
% 78.48/50.35 tff(18718,plain,
% 78.48/50.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 78.48/50.35 inference(transitivity,[status(thm)],[18717, 18715])).
% 78.48/50.35 tff(18719,plain,
% 78.48/50.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 78.48/50.35 inference(quant_inst,[status(thm)],[])).
% 78.48/50.35 tff(18720,plain,
% 78.48/50.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 78.48/50.35 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 78.48/50.35 tff(18721,plain,
% 78.48/50.35 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18720, 714, 18551])).
% 78.48/50.35 tff(18722,plain,
% 78.48/50.35 (~v127(constB151, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18721, 18714])).
% 78.48/50.35 tff(18723,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18724,plain,
% 78.48/50.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 78.48/50.35 inference(quant_inst,[status(thm)],[])).
% 78.48/50.35 tff(18725,plain,
% 78.48/50.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 78.48/50.35 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 78.48/50.35 tff(18726,plain,
% 78.48/50.35 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18725, 732, 18562])).
% 78.48/50.35 tff(18727,plain,
% 78.48/50.35 (~v129(constB152, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18726, 18722])).
% 78.48/50.35 tff(18728,plain,
% 78.48/50.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18729,plain,
% 78.48/50.35 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18730,plain,
% 78.48/50.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 78.48/50.35 inference(monotonicity,[status(thm)],[18729])).
% 78.48/50.35 tff(18731,plain,
% 78.48/50.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 78.48/50.35 inference(transitivity,[status(thm)],[18730, 18728])).
% 78.48/50.35 tff(18732,plain,
% 78.48/50.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 78.48/50.35 inference(quant_inst,[status(thm)],[])).
% 78.48/50.35 tff(18733,plain,
% 78.48/50.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 78.48/50.35 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 78.48/50.35 tff(18734,plain,
% 78.48/50.35 ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18733, 747, 18675])).
% 78.48/50.35 tff(18735,plain,
% 78.48/50.35 (~v90(constB152, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18734, 18727])).
% 78.48/50.35 tff(18736,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18737,plain,
% 78.48/50.35 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18738,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 78.48/50.35 inference(monotonicity,[status(thm)],[18737])).
% 78.48/50.35 tff(18739,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 78.48/50.35 inference(transitivity,[status(thm)],[18738, 18736])).
% 78.48/50.35 tff(18740,plain,
% 78.48/50.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 78.48/50.35 inference(quant_inst,[status(thm)],[])).
% 78.48/50.35 tff(18741,plain,
% 78.48/50.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 78.48/50.35 inference(modus_ponens,[status(thm)],[18740, 18739])).
% 78.48/50.35 tff(18742,plain,
% 78.48/50.35 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18741, 360, 18689])).
% 78.48/50.35 tff(18743,plain,
% 78.48/50.35 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18742, 18701])).
% 78.48/50.35 tff(18744,plain,
% 78.48/50.35 (~v90(constB153, bitIndex1)),
% 78.48/50.35 inference(unit_resolution,[status(thm)],[18743, 18735])).
% 78.48/50.35 tff(18745,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18746,plain,
% 78.48/50.35 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 78.48/50.35 inference(rewrite,[status(thm)],[])).
% 78.48/50.35 tff(18747,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 78.48/50.35 inference(monotonicity,[status(thm)],[18746])).
% 78.48/50.35 tff(18748,plain,
% 78.48/50.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 78.48/50.35 inference(transitivity,[status(thm)],[18747, 18745])).
% 78.48/50.35 tff(18749,plain,
% 78.48/50.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 78.48/50.35 inference(quant_inst,[status(thm)],[])).
% 78.48/50.35 tff(18750,plain,
% 78.48/50.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 78.48/50.36 tff(18751,plain,
% 78.48/50.36 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18750, 1575, 18689])).
% 78.48/50.36 tff(18752,plain,
% 78.48/50.36 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18751, 18701])).
% 78.48/50.36 tff(18753,plain,
% 78.48/50.36 (v90(constB153, bitIndex2)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18752, 18652])).
% 78.48/50.36 tff(18754,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18755,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18756,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18755, 18754])).
% 78.48/50.36 tff(18757,plain,
% 78.48/50.36 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v123(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18756, 1682, 18753])).
% 78.48/50.36 tff(18758,plain,
% 78.48/50.36 (v123(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18757, 18744, 18710])).
% 78.48/50.36 tff(18759,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18760,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18761,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18760, 18759])).
% 78.48/50.36 tff(18762,plain,
% 78.48/50.36 (v115(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18761, 1693, 18758])).
% 78.48/50.36 tff(18763,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18764,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18765,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18764, 18763])).
% 78.48/50.36 tff(18766,plain,
% 78.48/50.36 (v114(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18765, 530, 18762])).
% 78.48/50.36 tff(18767,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18768,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18769,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18768, 18767])).
% 78.48/50.36 tff(18770,plain,
% 78.48/50.36 (v113(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18769, 541, 18766])).
% 78.48/50.36 tff(18771,assumption,(v26(constB153)), introduced(assumption)).
% 78.48/50.36 tff(18772,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18773,plain,
% 78.48/50.36 ($false),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18772, 14, 18771])).
% 78.48/50.36 tff(18774,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 78.48/50.36 tff(18775,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18776,plain,
% 78.48/50.36 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18777,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 78.48/50.36 inference(monotonicity,[status(thm)],[18776])).
% 78.48/50.36 tff(18778,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 78.48/50.36 inference(transitivity,[status(thm)],[18777, 18775])).
% 78.48/50.36 tff(18779,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18780,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18779, 18778])).
% 78.48/50.36 tff(18781,plain,
% 78.48/50.36 (v112(constB153) | (~v113(constB153))),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18780, 555, 18774])).
% 78.48/50.36 tff(18782,plain,
% 78.48/50.36 (v112(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18781, 18770])).
% 78.48/50.36 tff(18783,plain,
% 78.48/50.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18784,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18785,plain,
% 78.48/50.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 78.48/50.36 tff(18786,plain,
% 78.48/50.36 (v108(constB153)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18785, 464, 18782])).
% 78.48/50.36 tff(18787,plain,
% 78.48/50.36 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18788,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 78.48/50.36 tff(18789,plain,
% 78.48/50.36 (nextState(constB153, constB154)),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18788, 18787])).
% 78.48/50.36 tff(18790,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18791,plain,
% 78.48/50.36 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18792,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 78.48/50.36 inference(monotonicity,[status(thm)],[18791])).
% 78.48/50.36 tff(18793,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 78.48/50.36 inference(transitivity,[status(thm)],[18792, 18790])).
% 78.48/50.36 tff(18794,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18795,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18794, 18793])).
% 78.48/50.36 tff(18796,plain,
% 78.48/50.36 (v110(constB154) | (~v108(constB153))),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18795, 571, 18789])).
% 78.48/50.36 tff(18797,plain,
% 78.48/50.36 (v110(constB154)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18796, 18786])).
% 78.48/50.36 tff(18798,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18799,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18800,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18799, 18798])).
% 78.48/50.36 tff(18801,plain,
% 78.48/50.36 (~v104(constB154)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18800, 589, 18789, 18686])).
% 78.48/50.36 tff(18802,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18803,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18804,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18803, 18802])).
% 78.48/50.36 tff(18805,plain,
% 78.48/50.36 (v102(constB154) | v104(constB154)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18804, 603, 18789])).
% 78.48/50.36 tff(18806,plain,
% 78.48/50.36 (v102(constB154)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18805, 18801])).
% 78.48/50.36 tff(18807,plain,
% 78.48/50.36 (v1(constB154) <=> v1(constB154)),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18808,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 78.48/50.36 tff(18809,plain,
% 78.48/50.36 (v1(constB154)),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 78.48/50.36 tff(18810,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18811,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18812,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 78.48/50.36 tff(18813,plain,
% 78.48/50.36 (v101(constB154) | (~v102(constB154))),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18812, 621, 18789, 18809])).
% 78.48/50.36 tff(18814,plain,
% 78.48/50.36 (v101(constB154)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18813, 18806])).
% 78.48/50.36 tff(18815,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18816,plain,
% 78.48/50.36 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 78.48/50.36 inference(rewrite,[status(thm)],[])).
% 78.48/50.36 tff(18817,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 78.48/50.36 inference(monotonicity,[status(thm)],[18816])).
% 78.48/50.36 tff(18818,plain,
% 78.48/50.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 78.48/50.36 inference(transitivity,[status(thm)],[18817, 18815])).
% 78.48/50.36 tff(18819,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 78.48/50.36 inference(quant_inst,[status(thm)],[])).
% 78.48/50.36 tff(18820,plain,
% 78.48/50.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 78.48/50.36 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 78.48/50.36 tff(18821,plain,
% 78.48/50.36 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18820, 636, 18789])).
% 78.48/50.36 tff(18822,plain,
% 78.48/50.36 (v100(constB154) | (~v110(constB154))),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18821, 18814])).
% 78.48/50.36 tff(18823,plain,
% 78.48/50.36 (v100(constB154)),
% 78.48/50.36 inference(unit_resolution,[status(thm)],[18822, 18797])).
% 78.48/50.36 tff(18824,plain,
% 78.48/50.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18825,plain,
% 78.48/50.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18826,plain,
% 78.48/50.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18825, 18824])).
% 78.48/50.37 tff(18827,plain,
% 78.48/50.37 (v130(constB153, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18826, 1877, 18758])).
% 78.48/50.37 tff(18828,plain,
% 78.48/50.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18829,plain,
% 78.48/50.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18830,plain,
% 78.48/50.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18829, 18828])).
% 78.48/50.37 tff(18831,plain,
% 78.48/50.37 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18830, 1431, 18774])).
% 78.48/50.37 tff(18832,plain,
% 78.48/50.37 (v127(constB153, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18831, 18827])).
% 78.48/50.37 tff(18833,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18834,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18835,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 78.48/50.37 tff(18836,plain,
% 78.48/50.37 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18835, 1449, 18789])).
% 78.48/50.37 tff(18837,plain,
% 78.48/50.37 (v129(constB154, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18836, 18832])).
% 78.48/50.37 tff(18838,plain,
% 78.48/50.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18839,plain,
% 78.48/50.37 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18840,plain,
% 78.48/50.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 78.48/50.37 inference(monotonicity,[status(thm)],[18839])).
% 78.48/50.37 tff(18841,plain,
% 78.48/50.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 78.48/50.37 inference(transitivity,[status(thm)],[18840, 18838])).
% 78.48/50.37 tff(18842,plain,
% 78.48/50.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18843,plain,
% 78.48/50.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18842, 18841])).
% 78.48/50.37 tff(18844,plain,
% 78.48/50.37 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18843, 1539, 18837])).
% 78.48/50.37 tff(18845,plain,
% 78.48/50.37 (v90(constB154, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18844, 18823])).
% 78.48/50.37 tff(18846,plain,
% 78.48/50.37 ((~v1(constB155)) <=> (~v1(constB155))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18847,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 78.48/50.37 tff(18848,plain,
% 78.48/50.37 (~v1(constB155)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 78.48/50.37 tff(18849,plain,
% 78.48/50.37 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18850,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 78.48/50.37 tff(18851,plain,
% 78.48/50.37 (nextState(constB154, constB155)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18850, 18849])).
% 78.48/50.37 tff(18852,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18853,plain,
% 78.48/50.37 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18854,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 78.48/50.37 inference(monotonicity,[status(thm)],[18853])).
% 78.48/50.37 tff(18855,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 78.48/50.37 inference(transitivity,[status(thm)],[18854, 18852])).
% 78.48/50.37 tff(18856,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18857,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18856, 18855])).
% 78.48/50.37 tff(18858,plain,
% 78.48/50.37 (~v101(constB155)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18857, 307, 18851, 18848])).
% 78.48/50.37 tff(18859,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18860,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18861,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 78.48/50.37 tff(18862,plain,
% 78.48/50.37 (v101(constB155) | (~v100(constB155))),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18861, 324, 18851])).
% 78.48/50.37 tff(18863,plain,
% 78.48/50.37 (~v100(constB155)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18862, 18858])).
% 78.48/50.37 tff(18864,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18865,plain,
% 78.48/50.37 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18866,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 78.48/50.37 inference(monotonicity,[status(thm)],[18865])).
% 78.48/50.37 tff(18867,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 78.48/50.37 inference(transitivity,[status(thm)],[18866, 18864])).
% 78.48/50.37 tff(18868,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18869,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18868, 18867])).
% 78.48/50.37 tff(18870,plain,
% 78.48/50.37 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18869, 1575, 18851])).
% 78.48/50.37 tff(18871,plain,
% 78.48/50.37 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18870, 18863])).
% 78.48/50.37 tff(18872,plain,
% 78.48/50.37 (v90(constB155, bitIndex2)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18871, 18845])).
% 78.48/50.37 tff(18873,plain,
% 78.48/50.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18874,plain,
% 78.48/50.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18875,plain,
% 78.48/50.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1))),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18874, 18873])).
% 78.48/50.37 tff(18876,plain,
% 78.48/50.37 (~v130(constB153, bitIndex1)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18875, 1765, 18758])).
% 78.48/50.37 tff(18877,plain,
% 78.48/50.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18878,plain,
% 78.48/50.37 ((v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1))) <=> ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18879,plain,
% 78.48/50.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)))),
% 78.48/50.37 inference(monotonicity,[status(thm)],[18878])).
% 78.48/50.37 tff(18880,plain,
% 78.48/50.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 78.48/50.37 inference(transitivity,[status(thm)],[18879, 18877])).
% 78.48/50.37 tff(18881,plain,
% 78.48/50.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))),
% 78.48/50.37 inference(quant_inst,[status(thm)],[])).
% 78.48/50.37 tff(18882,plain,
% 78.48/50.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)),
% 78.48/50.37 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 78.48/50.37 tff(18883,plain,
% 78.48/50.37 ((~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18882, 714, 18774])).
% 78.48/50.37 tff(18884,plain,
% 78.48/50.37 (~v127(constB153, bitIndex1)),
% 78.48/50.37 inference(unit_resolution,[status(thm)],[18883, 18876])).
% 78.48/50.37 tff(18885,plain,
% 78.48/50.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 78.48/50.37 inference(rewrite,[status(thm)],[])).
% 78.48/50.37 tff(18886,plain,
% 78.48/50.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18887,plain,
% 78.48/50.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18886, 18885])).
% 78.48/50.38 tff(18888,plain,
% 78.48/50.38 (v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18887, 732, 18789])).
% 78.48/50.38 tff(18889,plain,
% 78.48/50.38 (~v129(constB154, bitIndex1)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18888, 18884])).
% 78.48/50.38 tff(18890,plain,
% 78.48/50.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18891,plain,
% 78.48/50.38 (((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18892,plain,
% 78.48/50.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))))),
% 78.48/50.38 inference(monotonicity,[status(thm)],[18891])).
% 78.48/50.38 tff(18893,plain,
% 78.48/50.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 78.48/50.38 inference(transitivity,[status(thm)],[18892, 18890])).
% 78.48/50.38 tff(18894,plain,
% 78.48/50.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18895,plain,
% 78.48/50.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18894, 18893])).
% 78.48/50.38 tff(18896,plain,
% 78.48/50.38 ((~v90(constB154, bitIndex1)) | (~v100(constB154))),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18895, 747, 18889])).
% 78.48/50.38 tff(18897,plain,
% 78.48/50.38 (~v90(constB154, bitIndex1)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18896, 18823])).
% 78.48/50.38 tff(18898,plain,
% 78.48/50.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18899,plain,
% 78.48/50.38 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18900,plain,
% 78.48/50.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))))),
% 78.48/50.38 inference(monotonicity,[status(thm)],[18899])).
% 78.48/50.38 tff(18901,plain,
% 78.48/50.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 78.48/50.38 inference(transitivity,[status(thm)],[18900, 18898])).
% 78.48/50.38 tff(18902,plain,
% 78.48/50.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18903,plain,
% 78.48/50.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 78.48/50.38 tff(18904,plain,
% 78.48/50.38 (v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18903, 360, 18851])).
% 78.48/50.38 tff(18905,plain,
% 78.48/50.38 (v90(constB154, bitIndex1) | (~v90(constB155, bitIndex1))),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18904, 18863])).
% 78.48/50.38 tff(18906,plain,
% 78.48/50.38 (~v90(constB155, bitIndex1)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18905, 18897])).
% 78.48/50.38 tff(18907,plain,
% 78.48/50.38 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18908,plain,
% 78.48/50.38 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18909,plain,
% 78.48/50.38 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0)),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18908, 18907])).
% 78.48/50.38 tff(18910,plain,
% 78.48/50.38 (v130(constB153, bitIndex0)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18909, 1836, 18758])).
% 78.48/50.38 tff(18911,plain,
% 78.48/50.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18912,plain,
% 78.48/50.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18913,plain,
% 78.48/50.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 78.48/50.38 tff(18914,plain,
% 78.48/50.38 ((~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18913, 788, 18774])).
% 78.48/50.38 tff(18915,plain,
% 78.48/50.38 (v127(constB153, bitIndex0)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18914, 18910])).
% 78.48/50.38 tff(18916,plain,
% 78.48/50.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18917,plain,
% 78.48/50.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18918,plain,
% 78.48/50.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18917, 18916])).
% 78.48/50.38 tff(18919,plain,
% 78.48/50.38 ((~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18918, 803, 18789])).
% 78.48/50.38 tff(18920,plain,
% 78.48/50.38 (v129(constB154, bitIndex0)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18919, 18915])).
% 78.48/50.38 tff(18921,plain,
% 78.48/50.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18922,plain,
% 78.48/50.38 ((v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 78.48/50.38 inference(rewrite,[status(thm)],[])).
% 78.48/50.38 tff(18923,plain,
% 78.48/50.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))))),
% 78.48/50.38 inference(monotonicity,[status(thm)],[18922])).
% 78.48/50.38 tff(18924,plain,
% 78.48/50.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 78.48/50.38 inference(transitivity,[status(thm)],[18923, 18921])).
% 78.48/50.38 tff(18925,plain,
% 78.48/50.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))),
% 78.48/50.38 inference(quant_inst,[status(thm)],[])).
% 78.48/50.38 tff(18926,plain,
% 78.48/50.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 78.48/50.38 inference(modus_ponens,[status(thm)],[18925, 18924])).
% 78.48/50.38 tff(18927,plain,
% 78.48/50.38 (v90(constB154, bitIndex0) | (~v100(constB154))),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18926, 818, 18920])).
% 78.48/50.38 tff(18928,plain,
% 78.48/50.38 (v90(constB154, bitIndex0)),
% 78.48/50.38 inference(unit_resolution,[status(thm)],[18927, 18823])).
% 78.48/50.38 tff(18929,plain,
% 78.48/50.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18930,plain,
% 78.48/50.39 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18931,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)))),
% 78.48/50.39 inference(monotonicity,[status(thm)],[18930])).
% 78.48/50.39 tff(18932,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 78.48/50.39 inference(transitivity,[status(thm)],[18931, 18929])).
% 78.48/50.39 tff(18933,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18934,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 78.48/50.39 tff(18935,plain,
% 78.48/50.39 ((~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18934, 836, 18851])).
% 78.48/50.39 tff(18936,plain,
% 78.48/50.39 ((~v90(constB154, bitIndex0)) | v90(constB155, bitIndex0)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18935, 18863])).
% 78.48/50.39 tff(18937,plain,
% 78.48/50.39 (v90(constB155, bitIndex0)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18936, 18928])).
% 78.48/50.39 tff(18938,plain,
% 78.48/50.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18939,plain,
% 78.48/50.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18940,plain,
% 78.48/50.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18939, 18938])).
% 78.48/50.39 tff(18941,plain,
% 78.48/50.39 (v124(constB155)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18940, 1919, 18937, 18906, 18872])).
% 78.48/50.39 tff(18942,plain,
% 78.48/50.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18943,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18944,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18943, 18942])).
% 78.48/50.39 tff(18945,plain,
% 78.48/50.39 (v114(constB155)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18944, 1951, 18941])).
% 78.48/50.39 tff(18946,plain,
% 78.48/50.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18947,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18948,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18947, 18946])).
% 78.48/50.39 tff(18949,plain,
% 78.48/50.39 (v113(constB155)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18948, 541, 18945])).
% 78.48/50.39 tff(18950,assumption,(v26(constB155)), introduced(assumption)).
% 78.48/50.39 tff(18951,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18952,plain,
% 78.48/50.39 ($false),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18951, 14, 18950])).
% 78.48/50.39 tff(18953,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 78.48/50.39 tff(18954,plain,
% 78.48/50.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | v112(constB155) | (~v113(constB155)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18955,plain,
% 78.48/50.39 ((v26(constB155) | (~v113(constB155)) | v112(constB155)) <=> (v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18956,plain,
% 78.48/50.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | v112(constB155) | (~v113(constB155))))),
% 78.48/50.39 inference(monotonicity,[status(thm)],[18955])).
% 78.48/50.39 tff(18957,plain,
% 78.48/50.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 78.48/50.39 inference(transitivity,[status(thm)],[18956, 18954])).
% 78.48/50.39 tff(18958,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18959,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 78.48/50.39 tff(18960,plain,
% 78.48/50.39 (v112(constB155) | (~v113(constB155))),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18959, 555, 18953])).
% 78.48/50.39 tff(18961,plain,
% 78.48/50.39 (v112(constB155)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18960, 18949])).
% 78.48/50.39 tff(18962,plain,
% 78.48/50.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18963,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18964,plain,
% 78.48/50.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 78.48/50.39 tff(18965,plain,
% 78.48/50.39 (v108(constB155)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18964, 464, 18961])).
% 78.48/50.39 tff(18966,plain,
% 78.48/50.39 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18967,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 78.48/50.39 tff(18968,plain,
% 78.48/50.39 (nextState(constB155, constB156)),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18967, 18966])).
% 78.48/50.39 tff(18969,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18970,plain,
% 78.48/50.39 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18971,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 78.48/50.39 inference(monotonicity,[status(thm)],[18970])).
% 78.48/50.39 tff(18972,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 78.48/50.39 inference(transitivity,[status(thm)],[18971, 18969])).
% 78.48/50.39 tff(18973,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18974,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18973, 18972])).
% 78.48/50.39 tff(18975,plain,
% 78.48/50.39 (v110(constB156) | (~v108(constB155))),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18974, 571, 18968])).
% 78.48/50.39 tff(18976,plain,
% 78.48/50.39 (v110(constB156)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18975, 18965])).
% 78.48/50.39 tff(18977,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18978,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18979,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18978, 18977])).
% 78.48/50.39 tff(18980,plain,
% 78.48/50.39 (~v104(constB156)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18979, 589, 18968, 18848])).
% 78.48/50.39 tff(18981,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18982,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18983,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18982, 18981])).
% 78.48/50.39 tff(18984,plain,
% 78.48/50.39 (v102(constB156) | v104(constB156)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18983, 603, 18968])).
% 78.48/50.39 tff(18985,plain,
% 78.48/50.39 (v102(constB156)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18984, 18980])).
% 78.48/50.39 tff(18986,plain,
% 78.48/50.39 (v1(constB156) <=> v1(constB156)),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18987,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 78.48/50.39 tff(18988,plain,
% 78.48/50.39 (v1(constB156)),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 78.48/50.39 tff(18989,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18990,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 78.48/50.39 inference(quant_inst,[status(thm)],[])).
% 78.48/50.39 tff(18991,plain,
% 78.48/50.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 78.48/50.39 inference(modus_ponens,[status(thm)],[18990, 18989])).
% 78.48/50.39 tff(18992,plain,
% 78.48/50.39 (v101(constB156) | (~v102(constB156))),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18991, 621, 18968, 18988])).
% 78.48/50.39 tff(18993,plain,
% 78.48/50.39 (v101(constB156)),
% 78.48/50.39 inference(unit_resolution,[status(thm)],[18992, 18985])).
% 78.48/50.39 tff(18994,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18995,plain,
% 78.48/50.39 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 78.48/50.39 inference(rewrite,[status(thm)],[])).
% 78.48/50.39 tff(18996,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 78.48/50.39 inference(monotonicity,[status(thm)],[18995])).
% 78.48/50.39 tff(18997,plain,
% 78.48/50.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 78.48/50.40 inference(transitivity,[status(thm)],[18996, 18994])).
% 78.48/50.40 tff(18998,plain,
% 78.48/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 78.48/50.40 inference(quant_inst,[status(thm)],[])).
% 78.48/50.40 tff(18999,plain,
% 78.48/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 78.48/50.40 inference(modus_ponens,[status(thm)],[18998, 18997])).
% 78.48/50.40 tff(19000,plain,
% 78.48/50.40 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 78.48/50.40 inference(unit_resolution,[status(thm)],[18999, 636, 18968])).
% 78.48/50.40 tff(19001,plain,
% 78.48/50.40 (v100(constB156) | (~v110(constB156))),
% 78.48/50.40 inference(unit_resolution,[status(thm)],[19000, 18993])).
% 78.48/50.40 tff(19002,plain,
% 78.48/50.40 (v100(constB156)),
% 78.48/50.40 inference(unit_resolution,[status(thm)],[19001, 18976])).
% 78.48/50.40 tff(19003,plain,
% 78.48/50.40 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2))),
% 78.48/50.40 inference(rewrite,[status(thm)],[])).
% 78.48/50.40 tff(19004,plain,
% 78.48/50.40 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))),
% 78.48/50.40 inference(quant_inst,[status(thm)],[])).
% 78.48/50.40 tff(19005,plain,
% 78.48/50.40 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2)),
% 78.48/50.40 inference(modus_ponens,[status(thm)],[19004, 19003])).
% 78.48/50.40 tff(19006,plain,
% 78.48/50.40 (v130(constB155, bitIndex2)),
% 78.48/50.40 inference(unit_resolution,[status(thm)],[19005, 2050, 18941])).
% 78.48/50.40 tff(19007,plain,
% 78.48/50.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 78.48/50.40 inference(rewrite,[status(thm)],[])).
% 78.48/50.40 tff(19008,plain,
% 78.48/50.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 78.48/50.40 inference(quant_inst,[status(thm)],[])).
% 78.48/50.40 tff(19009,plain,
% 78.48/50.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 78.48/50.40 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 78.48/50.40 tff(19010,plain,
% 78.48/50.40 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 78.48/50.40 inference(unit_resolution,[status(thm)],[19009, 1431, 18953])).
% 78.48/50.40 tff(19011,plain,
% 78.48/50.40 (v127(constB155, bitIndex2)),
% 78.48/50.40 inference(unit_resolution,[status(thm)],[19010, 19006])).
% 78.48/50.40 tff(19012,plain,
% 78.48/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 78.48/50.40 inference(rewrite,[status(thm)],[])).
% 78.48/50.40 tff(19013,plain,
% 78.48/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 78.48/50.40 inference(quant_inst,[status(thm)],[])).
% 78.48/50.40 tff(19014,plain,
% 78.48/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 78.57/50.40 inference(modus_ponens,[status(thm)],[19013, 19012])).
% 78.57/50.40 tff(19015,plain,
% 78.57/50.40 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19014, 1449, 18968])).
% 78.57/50.40 tff(19016,plain,
% 78.57/50.40 (v129(constB156, bitIndex2)),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19015, 19011])).
% 78.57/50.40 tff(19017,plain,
% 78.57/50.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19018,plain,
% 78.57/50.40 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19019,plain,
% 78.57/50.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))))),
% 78.57/50.40 inference(monotonicity,[status(thm)],[19018])).
% 78.57/50.40 tff(19020,plain,
% 78.57/50.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 78.57/50.40 inference(transitivity,[status(thm)],[19019, 19017])).
% 78.57/50.40 tff(19021,plain,
% 78.57/50.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 78.57/50.40 inference(quant_inst,[status(thm)],[])).
% 78.57/50.40 tff(19022,plain,
% 78.57/50.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 78.57/50.40 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 78.57/50.40 tff(19023,plain,
% 78.57/50.40 (v90(constB156, bitIndex2) | (~v100(constB156))),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19022, 1539, 19016])).
% 78.57/50.40 tff(19024,plain,
% 78.57/50.40 (v90(constB156, bitIndex2)),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19023, 19002])).
% 78.57/50.40 tff(19025,plain,
% 78.57/50.40 ((~v1(constB157)) <=> (~v1(constB157))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19026,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 78.57/50.40 tff(19027,plain,
% 78.57/50.40 (~v1(constB157)),
% 78.57/50.40 inference(modus_ponens,[status(thm)],[19026, 19025])).
% 78.57/50.40 tff(19028,plain,
% 78.57/50.40 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19029,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 78.57/50.40 tff(19030,plain,
% 78.57/50.40 (nextState(constB156, constB157)),
% 78.57/50.40 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 78.57/50.40 tff(19031,plain,
% 78.57/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19032,plain,
% 78.57/50.40 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19033,plain,
% 78.57/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 78.57/50.40 inference(monotonicity,[status(thm)],[19032])).
% 78.57/50.40 tff(19034,plain,
% 78.57/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 78.57/50.40 inference(transitivity,[status(thm)],[19033, 19031])).
% 78.57/50.40 tff(19035,plain,
% 78.57/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 78.57/50.40 inference(quant_inst,[status(thm)],[])).
% 78.57/50.40 tff(19036,plain,
% 78.57/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 78.57/50.40 inference(modus_ponens,[status(thm)],[19035, 19034])).
% 78.57/50.40 tff(19037,plain,
% 78.57/50.40 (~v101(constB157)),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19036, 307, 19030, 19027])).
% 78.57/50.40 tff(19038,plain,
% 78.57/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19039,plain,
% 78.57/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 78.57/50.40 inference(quant_inst,[status(thm)],[])).
% 78.57/50.40 tff(19040,plain,
% 78.57/50.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 78.57/50.40 inference(modus_ponens,[status(thm)],[19039, 19038])).
% 78.57/50.40 tff(19041,plain,
% 78.57/50.40 (v101(constB157) | (~v100(constB157))),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19040, 324, 19030])).
% 78.57/50.40 tff(19042,plain,
% 78.57/50.40 (~v100(constB157)),
% 78.57/50.40 inference(unit_resolution,[status(thm)],[19041, 19037])).
% 78.57/50.40 tff(19043,plain,
% 78.57/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19044,plain,
% 78.57/50.40 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 78.57/50.40 inference(rewrite,[status(thm)],[])).
% 78.57/50.40 tff(19045,plain,
% 78.57/50.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)))),
% 78.57/50.40 inference(monotonicity,[status(thm)],[19044])).
% 78.57/50.41 tff(19046,plain,
% 78.57/50.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 78.57/50.41 inference(transitivity,[status(thm)],[19045, 19043])).
% 78.57/50.41 tff(19047,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19048,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19047, 19046])).
% 78.57/50.41 tff(19049,plain,
% 78.57/50.41 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19048, 1575, 19030])).
% 78.57/50.41 tff(19050,plain,
% 78.57/50.41 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19049, 19042])).
% 78.57/50.41 tff(19051,plain,
% 78.57/50.41 (v90(constB157, bitIndex2)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19050, 19024])).
% 78.57/50.41 tff(19052,plain,
% 78.57/50.41 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19053,plain,
% 78.57/50.41 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19054,plain,
% 78.57/50.41 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1)),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19053, 19052])).
% 78.57/50.41 tff(19055,plain,
% 78.57/50.41 (v130(constB155, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19054, 1936, 18941])).
% 78.57/50.41 tff(19056,plain,
% 78.57/50.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19057,plain,
% 78.57/50.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19058,plain,
% 78.57/50.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19057, 19056])).
% 78.57/50.41 tff(19059,plain,
% 78.57/50.41 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19058, 1031, 18953])).
% 78.57/50.41 tff(19060,plain,
% 78.57/50.41 (v127(constB155, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19059, 19055])).
% 78.57/50.41 tff(19061,plain,
% 78.57/50.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19062,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19063,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19062, 19061])).
% 78.57/50.41 tff(19064,plain,
% 78.57/50.41 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19063, 1046, 18968])).
% 78.57/50.41 tff(19065,plain,
% 78.57/50.41 (v129(constB156, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19064, 19060])).
% 78.57/50.41 tff(19066,plain,
% 78.57/50.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19067,plain,
% 78.57/50.41 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19068,plain,
% 78.57/50.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))))),
% 78.57/50.41 inference(monotonicity,[status(thm)],[19067])).
% 78.57/50.41 tff(19069,plain,
% 78.57/50.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 78.57/50.41 inference(transitivity,[status(thm)],[19068, 19066])).
% 78.57/50.41 tff(19070,plain,
% 78.57/50.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19071,plain,
% 78.57/50.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 78.57/50.41 tff(19072,plain,
% 78.57/50.41 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19071, 1061, 19065])).
% 78.57/50.41 tff(19073,plain,
% 78.57/50.41 (v90(constB156, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19072, 19002])).
% 78.57/50.41 tff(19074,plain,
% 78.57/50.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19075,plain,
% 78.57/50.41 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19076,plain,
% 78.57/50.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)))),
% 78.57/50.41 inference(monotonicity,[status(thm)],[19075])).
% 78.57/50.41 tff(19077,plain,
% 78.57/50.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 78.57/50.41 inference(transitivity,[status(thm)],[19076, 19074])).
% 78.57/50.41 tff(19078,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19079,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19078, 19077])).
% 78.57/50.41 tff(19080,plain,
% 78.57/50.41 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19079, 1079, 19030])).
% 78.57/50.41 tff(19081,plain,
% 78.57/50.41 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19080, 19042])).
% 78.57/50.41 tff(19082,plain,
% 78.57/50.41 (v90(constB157, bitIndex1)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19081, 19073])).
% 78.57/50.41 tff(19083,plain,
% 78.57/50.41 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19084,plain,
% 78.57/50.41 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19085,plain,
% 78.57/50.41 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0))),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 78.57/50.41 tff(19086,plain,
% 78.57/50.41 (~v130(constB155, bitIndex0)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19085, 2112, 18941])).
% 78.57/50.41 tff(19087,plain,
% 78.57/50.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19088,plain,
% 78.57/50.41 ((v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0))) <=> ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19089,plain,
% 78.57/50.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)))),
% 78.57/50.41 inference(monotonicity,[status(thm)],[19088])).
% 78.57/50.41 tff(19090,plain,
% 78.57/50.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 78.57/50.41 inference(transitivity,[status(thm)],[19089, 19087])).
% 78.57/50.41 tff(19091,plain,
% 78.57/50.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19092,plain,
% 78.57/50.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19091, 19090])).
% 78.57/50.41 tff(19093,plain,
% 78.57/50.41 ((~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19092, 1112, 18953])).
% 78.57/50.41 tff(19094,plain,
% 78.57/50.41 (~v127(constB155, bitIndex0)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19093, 19086])).
% 78.57/50.41 tff(19095,plain,
% 78.57/50.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19096,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 78.57/50.41 inference(quant_inst,[status(thm)],[])).
% 78.57/50.41 tff(19097,plain,
% 78.57/50.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 78.57/50.41 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 78.57/50.41 tff(19098,plain,
% 78.57/50.41 (v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19097, 1130, 18968])).
% 78.57/50.41 tff(19099,plain,
% 78.57/50.41 (~v129(constB156, bitIndex0)),
% 78.57/50.41 inference(unit_resolution,[status(thm)],[19098, 19094])).
% 78.57/50.41 tff(19100,plain,
% 78.57/50.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19101,plain,
% 78.57/50.41 (((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 78.57/50.41 inference(rewrite,[status(thm)],[])).
% 78.57/50.41 tff(19102,plain,
% 78.57/50.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))))),
% 78.57/50.41 inference(monotonicity,[status(thm)],[19101])).
% 78.57/50.41 tff(19103,plain,
% 78.57/50.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 78.57/50.42 inference(transitivity,[status(thm)],[19102, 19100])).
% 78.57/50.42 tff(19104,plain,
% 78.57/50.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19105,plain,
% 78.57/50.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 78.57/50.42 tff(19106,plain,
% 78.57/50.42 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19105, 1145, 19099])).
% 78.57/50.42 tff(19107,plain,
% 78.57/50.42 (~v90(constB156, bitIndex0)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19106, 19002])).
% 78.57/50.42 tff(19108,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19109,plain,
% 78.57/50.42 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19110,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))))),
% 78.57/50.42 inference(monotonicity,[status(thm)],[19109])).
% 78.57/50.42 tff(19111,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 78.57/50.42 inference(transitivity,[status(thm)],[19110, 19108])).
% 78.57/50.42 tff(19112,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19113,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19112, 19111])).
% 78.57/50.42 tff(19114,plain,
% 78.57/50.42 (v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19113, 381, 19030])).
% 78.57/50.42 tff(19115,plain,
% 78.57/50.42 (v90(constB156, bitIndex0) | (~v90(constB157, bitIndex0))),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19114, 19042])).
% 78.57/50.42 tff(19116,plain,
% 78.57/50.42 (~v90(constB157, bitIndex0)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19115, 19107])).
% 78.57/50.42 tff(19117,plain,
% 78.57/50.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19118,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19119,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19118, 19117])).
% 78.57/50.42 tff(19120,plain,
% 78.57/50.42 (v125(constB157)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19119, 2156, 19116, 19082, 19051])).
% 78.57/50.42 tff(19121,plain,
% 78.57/50.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19122,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19123,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19122, 19121])).
% 78.57/50.42 tff(19124,plain,
% 78.57/50.42 (v113(constB157)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19123, 2167, 19120])).
% 78.57/50.42 tff(19125,assumption,(v26(constB157)), introduced(assumption)).
% 78.57/50.42 tff(19126,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19127,plain,
% 78.57/50.42 ($false),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19126, 14, 19125])).
% 78.57/50.42 tff(19128,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 78.57/50.42 tff(19129,plain,
% 78.57/50.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19130,plain,
% 78.57/50.42 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19131,plain,
% 78.57/50.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 78.57/50.42 inference(monotonicity,[status(thm)],[19130])).
% 78.57/50.42 tff(19132,plain,
% 78.57/50.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 78.57/50.42 inference(transitivity,[status(thm)],[19131, 19129])).
% 78.57/50.42 tff(19133,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19134,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 78.57/50.42 tff(19135,plain,
% 78.57/50.42 (v112(constB157) | (~v113(constB157))),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19134, 555, 19128])).
% 78.57/50.42 tff(19136,plain,
% 78.57/50.42 (v112(constB157)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19135, 19124])).
% 78.57/50.42 tff(19137,plain,
% 78.57/50.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19138,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19139,plain,
% 78.57/50.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 78.57/50.42 tff(19140,plain,
% 78.57/50.42 (v108(constB157)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19139, 464, 19136])).
% 78.57/50.42 tff(19141,plain,
% 78.57/50.42 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19142,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 78.57/50.42 tff(19143,plain,
% 78.57/50.42 (nextState(constB157, constB158)),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 78.57/50.42 tff(19144,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19145,plain,
% 78.57/50.42 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19146,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 78.57/50.42 inference(monotonicity,[status(thm)],[19145])).
% 78.57/50.42 tff(19147,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 78.57/50.42 inference(transitivity,[status(thm)],[19146, 19144])).
% 78.57/50.42 tff(19148,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19149,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19148, 19147])).
% 78.57/50.42 tff(19150,plain,
% 78.57/50.42 (v110(constB158) | (~v108(constB157))),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19149, 571, 19143])).
% 78.57/50.42 tff(19151,plain,
% 78.57/50.42 (v110(constB158)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19150, 19140])).
% 78.57/50.42 tff(19152,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19153,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19154,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19153, 19152])).
% 78.57/50.42 tff(19155,plain,
% 78.57/50.42 (~v104(constB158)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19154, 589, 19143, 19027])).
% 78.57/50.42 tff(19156,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19157,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19158,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 78.57/50.42 tff(19159,plain,
% 78.57/50.42 (v102(constB158) | v104(constB158)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19158, 603, 19143])).
% 78.57/50.42 tff(19160,plain,
% 78.57/50.42 (v102(constB158)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19159, 19155])).
% 78.57/50.42 tff(19161,plain,
% 78.57/50.42 (v1(constB158) <=> v1(constB158)),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19162,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 78.57/50.42 tff(19163,plain,
% 78.57/50.42 (v1(constB158)),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19162, 19161])).
% 78.57/50.42 tff(19164,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19165,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 78.57/50.42 inference(quant_inst,[status(thm)],[])).
% 78.57/50.42 tff(19166,plain,
% 78.57/50.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 78.57/50.42 inference(modus_ponens,[status(thm)],[19165, 19164])).
% 78.57/50.42 tff(19167,plain,
% 78.57/50.42 (v101(constB158) | (~v102(constB158))),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19166, 621, 19143, 19163])).
% 78.57/50.42 tff(19168,plain,
% 78.57/50.42 (v101(constB158)),
% 78.57/50.42 inference(unit_resolution,[status(thm)],[19167, 19160])).
% 78.57/50.42 tff(19169,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19170,plain,
% 78.57/50.42 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 78.57/50.42 inference(rewrite,[status(thm)],[])).
% 78.57/50.42 tff(19171,plain,
% 78.57/50.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 78.57/50.43 inference(monotonicity,[status(thm)],[19170])).
% 78.57/50.43 tff(19172,plain,
% 78.57/50.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 78.57/50.43 inference(transitivity,[status(thm)],[19171, 19169])).
% 78.57/50.43 tff(19173,plain,
% 78.57/50.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19174,plain,
% 78.57/50.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19173, 19172])).
% 78.57/50.43 tff(19175,plain,
% 78.57/50.43 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19174, 636, 19143])).
% 78.57/50.43 tff(19176,plain,
% 78.57/50.43 (v100(constB158) | (~v110(constB158))),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19175, 19168])).
% 78.57/50.43 tff(19177,plain,
% 78.57/50.43 (v100(constB158)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19176, 19151])).
% 78.57/50.43 tff(19178,plain,
% 78.57/50.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19179,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19180,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 78.57/50.43 tff(19181,plain,
% 78.57/50.43 (~v121(constB157)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19180, 2218, 19051])).
% 78.57/50.43 tff(19182,plain,
% 78.57/50.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v122(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v122(constB157)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19183,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v122(constB157)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19184,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v122(constB157))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 78.57/50.43 tff(19185,plain,
% 78.57/50.43 (~v122(constB157)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19184, 2229, 19051])).
% 78.57/50.43 tff(19186,plain,
% 78.57/50.43 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19187,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19188,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 78.57/50.43 tff(19189,plain,
% 78.57/50.43 (~v119(constB157)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19188, 2243, 19082])).
% 78.57/50.43 tff(19190,plain,
% 78.57/50.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v120(constB157)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19191,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v120(constB157)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19192,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v120(constB157))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 78.57/50.43 tff(19193,plain,
% 78.57/50.43 (~v120(constB157)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19192, 2254, 19082])).
% 78.57/50.43 tff(19194,plain,
% 78.57/50.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19195,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19196,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 78.57/50.43 tff(19197,plain,
% 78.57/50.43 (~v123(constB157)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19196, 2265, 19082])).
% 78.57/50.43 tff(19198,plain,
% 78.57/50.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v124(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v124(constB157)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19199,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v124(constB157)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19200,plain,
% 78.57/50.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v124(constB157))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19199, 19198])).
% 78.57/50.43 tff(19201,plain,
% 78.57/50.43 (~v124(constB157)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19200, 2276, 19082])).
% 78.57/50.43 tff(19202,plain,
% 78.57/50.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19203,plain,
% 78.57/50.43 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19204,plain,
% 78.57/50.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))))),
% 78.57/50.43 inference(monotonicity,[status(thm)],[19203])).
% 78.57/50.43 tff(19205,plain,
% 78.57/50.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 78.57/50.43 inference(transitivity,[status(thm)],[19204, 19202])).
% 78.57/50.43 tff(19206,plain,
% 78.57/50.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19207,plain,
% 78.57/50.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19206, 19205])).
% 78.57/50.43 tff(19208,plain,
% 78.57/50.43 (~v130(constB157, bitIndex2)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19207, 2290, 19201, 19197, 19193, 19189, 19185, 19181])).
% 78.57/50.43 tff(19209,plain,
% 78.57/50.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19210,plain,
% 78.57/50.43 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19211,plain,
% 78.57/50.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 78.57/50.43 inference(monotonicity,[status(thm)],[19210])).
% 78.57/50.43 tff(19212,plain,
% 78.57/50.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 78.57/50.43 inference(transitivity,[status(thm)],[19211, 19209])).
% 78.57/50.43 tff(19213,plain,
% 78.57/50.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19214,plain,
% 78.57/50.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 78.57/50.43 tff(19215,plain,
% 78.57/50.43 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19214, 430, 19128])).
% 78.57/50.43 tff(19216,plain,
% 78.57/50.43 (~v127(constB157, bitIndex2)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19215, 19208])).
% 78.57/50.43 tff(19217,plain,
% 78.57/50.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19218,plain,
% 78.57/50.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19219,plain,
% 78.57/50.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 78.57/50.43 tff(19220,plain,
% 78.57/50.43 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19219, 451, 19143])).
% 78.57/50.43 tff(19221,plain,
% 78.57/50.43 (~v129(constB158, bitIndex2)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19220, 19216])).
% 78.57/50.43 tff(19222,plain,
% 78.57/50.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19223,plain,
% 78.57/50.43 (((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2)) <=> ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19224,plain,
% 78.57/50.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))))),
% 78.57/50.43 inference(monotonicity,[status(thm)],[19223])).
% 78.57/50.43 tff(19225,plain,
% 78.57/50.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 78.57/50.43 inference(transitivity,[status(thm)],[19224, 19222])).
% 78.57/50.43 tff(19226,plain,
% 78.57/50.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))),
% 78.57/50.43 inference(quant_inst,[status(thm)],[])).
% 78.57/50.43 tff(19227,plain,
% 78.57/50.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 78.57/50.43 tff(19228,plain,
% 78.57/50.43 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19227, 655, 19221])).
% 78.57/50.43 tff(19229,plain,
% 78.57/50.43 (~v90(constB158, bitIndex2)),
% 78.57/50.43 inference(unit_resolution,[status(thm)],[19228, 19177])).
% 78.57/50.43 tff(19230,plain,
% 78.57/50.43 ((~v1(constB159)) <=> (~v1(constB159))),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19231,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 78.57/50.43 tff(19232,plain,
% 78.57/50.43 (~v1(constB159)),
% 78.57/50.43 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 78.57/50.43 tff(19233,plain,
% 78.57/50.43 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 78.57/50.43 inference(rewrite,[status(thm)],[])).
% 78.57/50.43 tff(19234,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 78.57/50.44 tff(19235,plain,
% 78.57/50.44 (nextState(constB158, constB159)),
% 78.57/50.44 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 78.57/50.44 tff(19236,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19237,plain,
% 78.57/50.44 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19238,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 78.57/50.44 inference(monotonicity,[status(thm)],[19237])).
% 78.57/50.44 tff(19239,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 78.57/50.44 inference(transitivity,[status(thm)],[19238, 19236])).
% 78.57/50.44 tff(19240,plain,
% 78.57/50.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 78.57/50.44 inference(quant_inst,[status(thm)],[])).
% 78.57/50.44 tff(19241,plain,
% 78.57/50.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 78.57/50.44 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 78.57/50.44 tff(19242,plain,
% 78.57/50.44 (~v101(constB159)),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19241, 307, 19235, 19232])).
% 78.57/50.44 tff(19243,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19244,plain,
% 78.57/50.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 78.57/50.44 inference(quant_inst,[status(thm)],[])).
% 78.57/50.44 tff(19245,plain,
% 78.57/50.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 78.57/50.44 inference(modus_ponens,[status(thm)],[19244, 19243])).
% 78.57/50.44 tff(19246,plain,
% 78.57/50.44 (v101(constB159) | (~v100(constB159))),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19245, 324, 19235])).
% 78.57/50.44 tff(19247,plain,
% 78.57/50.44 (~v100(constB159)),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19246, 19242])).
% 78.57/50.44 tff(19248,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19249,plain,
% 78.57/50.44 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19250,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 78.57/50.44 inference(monotonicity,[status(thm)],[19249])).
% 78.57/50.44 tff(19251,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 78.57/50.44 inference(transitivity,[status(thm)],[19250, 19248])).
% 78.57/50.44 tff(19252,plain,
% 78.57/50.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 78.57/50.44 inference(quant_inst,[status(thm)],[])).
% 78.57/50.44 tff(19253,plain,
% 78.57/50.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 78.57/50.44 inference(modus_ponens,[status(thm)],[19252, 19251])).
% 78.57/50.44 tff(19254,plain,
% 78.57/50.44 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19253, 339, 19235])).
% 78.57/50.44 tff(19255,plain,
% 78.57/50.44 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19254, 19247])).
% 78.57/50.44 tff(19256,plain,
% 78.57/50.44 (~v90(constB159, bitIndex2)),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19255, 19229])).
% 78.57/50.44 tff(19257,plain,
% 78.57/50.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19258,plain,
% 78.57/50.44 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19259,plain,
% 78.57/50.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))))),
% 78.57/50.44 inference(monotonicity,[status(thm)],[19258])).
% 78.57/50.44 tff(19260,plain,
% 78.57/50.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 78.57/50.44 inference(transitivity,[status(thm)],[19259, 19257])).
% 78.57/50.44 tff(19261,plain,
% 78.57/50.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 78.57/50.44 inference(quant_inst,[status(thm)],[])).
% 78.57/50.44 tff(19262,plain,
% 78.57/50.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))),
% 78.57/50.44 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 78.57/50.44 tff(19263,plain,
% 78.57/50.44 (~v130(constB157, bitIndex1)),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19262, 2355, 19201, 19197, 19193, 19189, 19185, 19181])).
% 78.57/50.44 tff(19264,plain,
% 78.57/50.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19265,plain,
% 78.57/50.44 ((v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1))) <=> ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 78.57/50.44 inference(rewrite,[status(thm)],[])).
% 78.57/50.44 tff(19266,plain,
% 78.57/50.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)))),
% 78.57/50.44 inference(monotonicity,[status(thm)],[19265])).
% 78.57/50.44 tff(19267,plain,
% 78.57/50.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 78.57/50.44 inference(transitivity,[status(thm)],[19266, 19264])).
% 78.57/50.44 tff(19268,plain,
% 78.57/50.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))),
% 78.57/50.44 inference(quant_inst,[status(thm)],[])).
% 78.57/50.44 tff(19269,plain,
% 78.57/50.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)),
% 78.57/50.44 inference(modus_ponens,[status(thm)],[19268, 19267])).
% 78.57/50.44 tff(19270,plain,
% 78.57/50.44 ((~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19269, 714, 19128])).
% 78.57/50.44 tff(19271,plain,
% 78.57/50.44 (~v127(constB157, bitIndex1)),
% 78.57/50.44 inference(unit_resolution,[status(thm)],[19270, 19263])).
% 78.57/50.44 tff(19272,plain,
% 78.57/50.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19273,plain,
% 78.57/50.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19274,plain,
% 78.57/50.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19273, 19272])).
% 78.57/50.45 tff(19275,plain,
% 78.57/50.45 (v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19274, 732, 19143])).
% 78.57/50.45 tff(19276,plain,
% 78.57/50.45 (~v129(constB158, bitIndex1)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19275, 19271])).
% 78.57/50.45 tff(19277,plain,
% 78.57/50.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19278,plain,
% 78.57/50.45 (((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19279,plain,
% 78.57/50.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))))),
% 78.57/50.45 inference(monotonicity,[status(thm)],[19278])).
% 78.57/50.45 tff(19280,plain,
% 78.57/50.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 78.57/50.45 inference(transitivity,[status(thm)],[19279, 19277])).
% 78.57/50.45 tff(19281,plain,
% 78.57/50.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19282,plain,
% 78.57/50.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 78.57/50.45 tff(19283,plain,
% 78.57/50.45 ((~v90(constB158, bitIndex1)) | (~v100(constB158))),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19282, 747, 19276])).
% 78.57/50.45 tff(19284,plain,
% 78.57/50.45 (~v90(constB158, bitIndex1)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19283, 19177])).
% 78.57/50.45 tff(19285,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19286,plain,
% 78.57/50.45 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19287,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))))),
% 78.57/50.45 inference(monotonicity,[status(thm)],[19286])).
% 78.57/50.45 tff(19288,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 78.57/50.45 inference(transitivity,[status(thm)],[19287, 19285])).
% 78.57/50.45 tff(19289,plain,
% 78.57/50.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19290,plain,
% 78.57/50.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 78.57/50.45 tff(19291,plain,
% 78.57/50.45 (v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19290, 360, 19235])).
% 78.57/50.45 tff(19292,plain,
% 78.57/50.45 (v90(constB158, bitIndex1) | (~v90(constB159, bitIndex1))),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19291, 19247])).
% 78.57/50.45 tff(19293,plain,
% 78.57/50.45 (~v90(constB159, bitIndex1)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19292, 19284])).
% 78.57/50.45 tff(19294,plain,
% 78.57/50.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19295,plain,
% 78.57/50.45 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0)) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19296,plain,
% 78.57/50.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)))),
% 78.57/50.45 inference(monotonicity,[status(thm)],[19295])).
% 78.57/50.45 tff(19297,plain,
% 78.57/50.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 78.57/50.45 inference(transitivity,[status(thm)],[19296, 19294])).
% 78.57/50.45 tff(19298,plain,
% 78.57/50.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19299,plain,
% 78.57/50.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19298, 19297])).
% 78.57/50.45 tff(19300,plain,
% 78.57/50.45 (v130(constB157, bitIndex0)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19299, 2402, 19201, 19197, 19193, 19189, 19185, 19181])).
% 78.57/50.45 tff(19301,plain,
% 78.57/50.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19302,plain,
% 78.57/50.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19303,plain,
% 78.57/50.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19302, 19301])).
% 78.57/50.45 tff(19304,plain,
% 78.57/50.45 ((~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19303, 788, 19128])).
% 78.57/50.45 tff(19305,plain,
% 78.57/50.45 (v127(constB157, bitIndex0)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19304, 19300])).
% 78.57/50.45 tff(19306,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19307,plain,
% 78.57/50.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19308,plain,
% 78.57/50.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19307, 19306])).
% 78.57/50.45 tff(19309,plain,
% 78.57/50.45 ((~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19308, 803, 19143])).
% 78.57/50.45 tff(19310,plain,
% 78.57/50.45 (v129(constB158, bitIndex0)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19309, 19305])).
% 78.57/50.45 tff(19311,plain,
% 78.57/50.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19312,plain,
% 78.57/50.45 ((v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19313,plain,
% 78.57/50.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))))),
% 78.57/50.45 inference(monotonicity,[status(thm)],[19312])).
% 78.57/50.45 tff(19314,plain,
% 78.57/50.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 78.57/50.45 inference(transitivity,[status(thm)],[19313, 19311])).
% 78.57/50.45 tff(19315,plain,
% 78.57/50.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))),
% 78.57/50.45 inference(quant_inst,[status(thm)],[])).
% 78.57/50.45 tff(19316,plain,
% 78.57/50.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 78.57/50.45 inference(modus_ponens,[status(thm)],[19315, 19314])).
% 78.57/50.45 tff(19317,plain,
% 78.57/50.45 (v90(constB158, bitIndex0) | (~v100(constB158))),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19316, 818, 19310])).
% 78.57/50.45 tff(19318,plain,
% 78.57/50.45 (v90(constB158, bitIndex0)),
% 78.57/50.45 inference(unit_resolution,[status(thm)],[19317, 19177])).
% 78.57/50.45 tff(19319,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19320,plain,
% 78.57/50.45 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 78.57/50.45 inference(rewrite,[status(thm)],[])).
% 78.57/50.45 tff(19321,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)))),
% 78.57/50.45 inference(monotonicity,[status(thm)],[19320])).
% 78.57/50.45 tff(19322,plain,
% 78.57/50.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 78.57/50.46 inference(transitivity,[status(thm)],[19321, 19319])).
% 78.57/50.46 tff(19323,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19324,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19323, 19322])).
% 78.57/50.46 tff(19325,plain,
% 78.57/50.46 ((~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19324, 836, 19235])).
% 78.57/50.46 tff(19326,plain,
% 78.57/50.46 ((~v90(constB158, bitIndex0)) | v90(constB159, bitIndex0)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19325, 19247])).
% 78.57/50.46 tff(19327,plain,
% 78.57/50.46 (v90(constB159, bitIndex0)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19326, 19318])).
% 78.57/50.46 tff(19328,plain,
% 78.57/50.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19329,plain,
% 78.57/50.46 (((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)) <=> ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19330,plain,
% 78.57/50.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)))),
% 78.57/50.46 inference(monotonicity,[status(thm)],[19329])).
% 78.57/50.46 tff(19331,plain,
% 78.57/50.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 78.57/50.46 inference(transitivity,[status(thm)],[19330, 19328])).
% 78.57/50.46 tff(19332,plain,
% 78.57/50.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19333,plain,
% 78.57/50.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19332, 19331])).
% 78.57/50.46 tff(19334,plain,
% 78.57/50.46 (v120(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19333, 855, 19327, 19293, 19256])).
% 78.57/50.46 tff(19335,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19336,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19337,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19336, 19335])).
% 78.57/50.46 tff(19338,plain,
% 78.57/50.46 (v118(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19337, 908, 19334])).
% 78.57/50.46 tff(19339,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19340,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19341,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19340, 19339])).
% 78.57/50.46 tff(19342,plain,
% 78.57/50.46 (v117(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19341, 497, 19338])).
% 78.57/50.46 tff(19343,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19344,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19345,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19344, 19343])).
% 78.57/50.46 tff(19346,plain,
% 78.57/50.46 (v116(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19345, 508, 19342])).
% 78.57/50.46 tff(19347,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19348,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19349,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19348, 19347])).
% 78.57/50.46 tff(19350,plain,
% 78.57/50.46 (v115(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19349, 519, 19346])).
% 78.57/50.46 tff(19351,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19352,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19353,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 78.57/50.46 tff(19354,plain,
% 78.57/50.46 (v114(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19353, 530, 19350])).
% 78.57/50.46 tff(19355,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19356,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19357,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19356, 19355])).
% 78.57/50.46 tff(19358,plain,
% 78.57/50.46 (v113(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19357, 541, 19354])).
% 78.57/50.46 tff(19359,assumption,(v26(constB159)), introduced(assumption)).
% 78.57/50.46 tff(19360,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19361,plain,
% 78.57/50.46 ($false),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19360, 14, 19359])).
% 78.57/50.46 tff(19362,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 78.57/50.46 tff(19363,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19364,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19365,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159)),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 78.57/50.46 tff(19366,plain,
% 78.57/50.46 ((~v113(constB159)) | v112(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19365, 555, 19362])).
% 78.57/50.46 tff(19367,plain,
% 78.57/50.46 (v112(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19366, 19358])).
% 78.57/50.46 tff(19368,plain,
% 78.57/50.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19369,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19370,plain,
% 78.57/50.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 78.57/50.46 tff(19371,plain,
% 78.57/50.46 (v108(constB159)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19370, 464, 19367])).
% 78.57/50.46 tff(19372,plain,
% 78.57/50.46 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19373,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 78.57/50.46 tff(19374,plain,
% 78.57/50.46 (nextState(constB159, constB160)),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19373, 19372])).
% 78.57/50.46 tff(19375,plain,
% 78.57/50.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19376,plain,
% 78.57/50.46 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19377,plain,
% 78.57/50.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 78.57/50.46 inference(monotonicity,[status(thm)],[19376])).
% 78.57/50.46 tff(19378,plain,
% 78.57/50.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 78.57/50.46 inference(transitivity,[status(thm)],[19377, 19375])).
% 78.57/50.46 tff(19379,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19380,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19379, 19378])).
% 78.57/50.46 tff(19381,plain,
% 78.57/50.46 (v110(constB160) | (~v108(constB159))),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19380, 571, 19374])).
% 78.57/50.46 tff(19382,plain,
% 78.57/50.46 (v110(constB160)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19381, 19371])).
% 78.57/50.46 tff(19383,plain,
% 78.57/50.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19384,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19385,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 78.57/50.46 tff(19386,plain,
% 78.57/50.46 (~v104(constB160)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19385, 589, 19374, 19232])).
% 78.57/50.46 tff(19387,plain,
% 78.57/50.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19388,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19389,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19388, 19387])).
% 78.57/50.46 tff(19390,plain,
% 78.57/50.46 (v102(constB160) | v104(constB160)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19389, 603, 19374])).
% 78.57/50.46 tff(19391,plain,
% 78.57/50.46 (v102(constB160)),
% 78.57/50.46 inference(unit_resolution,[status(thm)],[19390, 19386])).
% 78.57/50.46 tff(19392,plain,
% 78.57/50.46 (v1(constB160) <=> v1(constB160)),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19393,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 78.57/50.46 tff(19394,plain,
% 78.57/50.46 (v1(constB160)),
% 78.57/50.46 inference(modus_ponens,[status(thm)],[19393, 19392])).
% 78.57/50.46 tff(19395,plain,
% 78.57/50.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 78.57/50.46 inference(rewrite,[status(thm)],[])).
% 78.57/50.46 tff(19396,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 78.57/50.46 inference(quant_inst,[status(thm)],[])).
% 78.57/50.46 tff(19397,plain,
% 78.57/50.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 78.57/50.47 tff(19398,plain,
% 78.57/50.47 (v101(constB160) | (~v102(constB160))),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19397, 621, 19374, 19394])).
% 78.57/50.47 tff(19399,plain,
% 78.57/50.47 (v101(constB160)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19398, 19391])).
% 78.57/50.47 tff(19400,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19401,plain,
% 78.57/50.47 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19402,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 78.57/50.47 inference(monotonicity,[status(thm)],[19401])).
% 78.57/50.47 tff(19403,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 78.57/50.47 inference(transitivity,[status(thm)],[19402, 19400])).
% 78.57/50.47 tff(19404,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19405,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19404, 19403])).
% 78.57/50.47 tff(19406,plain,
% 78.57/50.47 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19405, 636, 19374])).
% 78.57/50.47 tff(19407,plain,
% 78.57/50.47 (v100(constB160) | (~v110(constB160))),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19406, 19399])).
% 78.57/50.47 tff(19408,plain,
% 78.57/50.47 (v100(constB160)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19407, 19382])).
% 78.57/50.47 tff(19409,plain,
% 78.57/50.47 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19410,plain,
% 78.57/50.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19411,plain,
% 78.57/50.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1)),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19410, 19409])).
% 78.57/50.47 tff(19412,plain,
% 78.57/50.47 (v130(constB159, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19411, 1017, 19334])).
% 78.57/50.47 tff(19413,plain,
% 78.57/50.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19414,plain,
% 78.57/50.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19415,plain,
% 78.57/50.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 78.57/50.47 tff(19416,plain,
% 78.57/50.47 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19415, 1031, 19362])).
% 78.57/50.47 tff(19417,plain,
% 78.57/50.47 (v127(constB159, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19416, 19412])).
% 78.57/50.47 tff(19418,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19419,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19420,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19419, 19418])).
% 78.57/50.47 tff(19421,plain,
% 78.57/50.47 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19420, 1046, 19374])).
% 78.57/50.47 tff(19422,plain,
% 78.57/50.47 (v129(constB160, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19421, 19417])).
% 78.57/50.47 tff(19423,plain,
% 78.57/50.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19424,plain,
% 78.57/50.47 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19425,plain,
% 78.57/50.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 78.57/50.47 inference(monotonicity,[status(thm)],[19424])).
% 78.57/50.47 tff(19426,plain,
% 78.57/50.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 78.57/50.47 inference(transitivity,[status(thm)],[19425, 19423])).
% 78.57/50.47 tff(19427,plain,
% 78.57/50.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19428,plain,
% 78.57/50.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 78.57/50.47 tff(19429,plain,
% 78.57/50.47 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19428, 1061, 19422])).
% 78.57/50.47 tff(19430,plain,
% 78.57/50.47 (v90(constB160, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19429, 19408])).
% 78.57/50.47 tff(19431,plain,
% 78.57/50.47 ((~v1(constB161)) <=> (~v1(constB161))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19432,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 78.57/50.47 tff(19433,plain,
% 78.57/50.47 (~v1(constB161)),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19432, 19431])).
% 78.57/50.47 tff(19434,plain,
% 78.57/50.47 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19435,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 78.57/50.47 tff(19436,plain,
% 78.57/50.47 (nextState(constB160, constB161)),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 78.57/50.47 tff(19437,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19438,plain,
% 78.57/50.47 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19439,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 78.57/50.47 inference(monotonicity,[status(thm)],[19438])).
% 78.57/50.47 tff(19440,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 78.57/50.47 inference(transitivity,[status(thm)],[19439, 19437])).
% 78.57/50.47 tff(19441,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19442,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 78.57/50.47 tff(19443,plain,
% 78.57/50.47 (~v101(constB161)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19442, 307, 19436, 19433])).
% 78.57/50.47 tff(19444,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19445,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19446,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19445, 19444])).
% 78.57/50.47 tff(19447,plain,
% 78.57/50.47 (v101(constB161) | (~v100(constB161))),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19446, 324, 19436])).
% 78.57/50.47 tff(19448,plain,
% 78.57/50.47 (~v100(constB161)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19447, 19443])).
% 78.57/50.47 tff(19449,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19450,plain,
% 78.57/50.47 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19451,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 78.57/50.47 inference(monotonicity,[status(thm)],[19450])).
% 78.57/50.47 tff(19452,plain,
% 78.57/50.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 78.57/50.47 inference(transitivity,[status(thm)],[19451, 19449])).
% 78.57/50.47 tff(19453,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 78.57/50.47 inference(quant_inst,[status(thm)],[])).
% 78.57/50.47 tff(19454,plain,
% 78.57/50.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 78.57/50.47 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 78.57/50.47 tff(19455,plain,
% 78.57/50.47 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19454, 1079, 19436])).
% 78.57/50.47 tff(19456,plain,
% 78.57/50.47 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19455, 19448])).
% 78.57/50.47 tff(19457,plain,
% 78.57/50.47 (v90(constB161, bitIndex1)),
% 78.57/50.47 inference(unit_resolution,[status(thm)],[19456, 19430])).
% 78.57/50.47 tff(19458,plain,
% 78.57/50.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))),
% 78.57/50.47 inference(rewrite,[status(thm)],[])).
% 78.57/50.47 tff(19459,plain,
% 78.57/50.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19460,plain,
% 78.57/50.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1)),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19459, 19458])).
% 78.57/50.48 tff(19461,plain,
% 78.57/50.48 (v88(constB161, bitIndex1)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19460, 10690, 19457])).
% 78.57/50.48 tff(19462,plain,
% 78.57/50.48 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19463,plain,
% 78.57/50.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19464,plain,
% 78.57/50.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0))),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 78.57/50.48 tff(19465,plain,
% 78.57/50.48 (~v130(constB159, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19464, 1098, 19334])).
% 78.57/50.48 tff(19466,plain,
% 78.57/50.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19467,plain,
% 78.57/50.48 ((v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0))) <=> ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19468,plain,
% 78.57/50.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)))),
% 78.57/50.48 inference(monotonicity,[status(thm)],[19467])).
% 78.57/50.48 tff(19469,plain,
% 78.57/50.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 78.57/50.48 inference(transitivity,[status(thm)],[19468, 19466])).
% 78.57/50.48 tff(19470,plain,
% 78.57/50.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19471,plain,
% 78.57/50.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19470, 19469])).
% 78.57/50.48 tff(19472,plain,
% 78.57/50.48 ((~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19471, 1112, 19362])).
% 78.57/50.48 tff(19473,plain,
% 78.57/50.48 (~v127(constB159, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19472, 19465])).
% 78.57/50.48 tff(19474,plain,
% 78.57/50.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19475,plain,
% 78.57/50.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19476,plain,
% 78.57/50.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19475, 19474])).
% 78.57/50.48 tff(19477,plain,
% 78.57/50.48 (v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19476, 1130, 19374])).
% 78.57/50.48 tff(19478,plain,
% 78.57/50.48 (~v129(constB160, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19477, 19473])).
% 78.57/50.48 tff(19479,plain,
% 78.57/50.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19480,plain,
% 78.57/50.48 (((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19481,plain,
% 78.57/50.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))))),
% 78.57/50.48 inference(monotonicity,[status(thm)],[19480])).
% 78.57/50.48 tff(19482,plain,
% 78.57/50.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 78.57/50.48 inference(transitivity,[status(thm)],[19481, 19479])).
% 78.57/50.48 tff(19483,plain,
% 78.57/50.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19484,plain,
% 78.57/50.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19483, 19482])).
% 78.57/50.48 tff(19485,plain,
% 78.57/50.48 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19484, 1145, 19478])).
% 78.57/50.48 tff(19486,plain,
% 78.57/50.48 (~v90(constB160, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19485, 19408])).
% 78.57/50.48 tff(19487,plain,
% 78.57/50.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19488,plain,
% 78.57/50.48 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19489,plain,
% 78.57/50.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))))),
% 78.57/50.48 inference(monotonicity,[status(thm)],[19488])).
% 78.57/50.48 tff(19490,plain,
% 78.57/50.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 78.57/50.48 inference(transitivity,[status(thm)],[19489, 19487])).
% 78.57/50.48 tff(19491,plain,
% 78.57/50.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19492,plain,
% 78.57/50.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19491, 19490])).
% 78.57/50.48 tff(19493,plain,
% 78.57/50.48 (v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19492, 381, 19436])).
% 78.57/50.48 tff(19494,plain,
% 78.57/50.48 (v90(constB160, bitIndex0) | (~v90(constB161, bitIndex0))),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19493, 19448])).
% 78.57/50.48 tff(19495,plain,
% 78.57/50.48 (~v90(constB161, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19494, 19486])).
% 78.57/50.48 tff(19496,plain,
% 78.57/50.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB161, bitIndex0) | (~v88(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB161, bitIndex0) | (~v88(constB161, bitIndex0)))),
% 78.57/50.48 inference(rewrite,[status(thm)],[])).
% 78.57/50.48 tff(19497,plain,
% 78.57/50.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB161, bitIndex0) | (~v88(constB161, bitIndex0)))),
% 78.57/50.48 inference(quant_inst,[status(thm)],[])).
% 78.57/50.48 tff(19498,plain,
% 78.57/50.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB161, bitIndex0) | (~v88(constB161, bitIndex0))),
% 78.57/50.48 inference(modus_ponens,[status(thm)],[19497, 19496])).
% 78.57/50.48 tff(19499,plain,
% 78.57/50.48 (~v88(constB161, bitIndex0)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19498, 10755, 19495])).
% 78.57/50.48 tff(19500,assumption,(v124(constB155)), introduced(assumption)).
% 78.57/50.48 tff(19501,plain,
% 78.57/50.48 (v114(constB155)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[18944, 1951, 19500])).
% 78.57/50.48 tff(19502,plain,
% 78.57/50.48 (v113(constB155)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[18948, 541, 19501])).
% 78.57/50.48 tff(19503,plain,
% 78.57/50.48 (v112(constB155)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[18960, 19502])).
% 78.57/50.48 tff(19504,plain,
% 78.57/50.48 (v108(constB155)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[18964, 464, 19503])).
% 78.57/50.48 tff(19505,plain,
% 78.57/50.48 (v110(constB156)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[18975, 19504])).
% 78.57/50.48 tff(19506,plain,
% 78.57/50.48 (v100(constB156)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19001, 19505])).
% 78.57/50.48 tff(19507,plain,
% 78.57/50.48 (v130(constB155, bitIndex2)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19005, 2050, 19500])).
% 78.57/50.48 tff(19508,plain,
% 78.57/50.48 (v127(constB155, bitIndex2)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19010, 19507])).
% 78.57/50.48 tff(19509,plain,
% 78.57/50.48 (v129(constB156, bitIndex2)),
% 78.57/50.48 inference(unit_resolution,[status(thm)],[19015, 19508])).
% 78.57/50.48 tff(19510,plain,
% 78.65/50.48 (v90(constB156, bitIndex2) | (~v100(constB156))),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19022, 1539, 19509])).
% 78.65/50.48 tff(19511,plain,
% 78.65/50.48 (v90(constB156, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19510, 19506])).
% 78.65/50.48 tff(19512,plain,
% 78.65/50.48 (v90(constB157, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19050, 19511])).
% 78.65/50.48 tff(19513,plain,
% 78.65/50.48 (v130(constB155, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19054, 1936, 19500])).
% 78.65/50.48 tff(19514,plain,
% 78.65/50.48 (v127(constB155, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19059, 19513])).
% 78.65/50.48 tff(19515,plain,
% 78.65/50.48 (v129(constB156, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19064, 19514])).
% 78.65/50.48 tff(19516,plain,
% 78.65/50.48 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19071, 1061, 19515])).
% 78.65/50.48 tff(19517,plain,
% 78.65/50.48 (v90(constB156, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19516, 19506])).
% 78.65/50.48 tff(19518,plain,
% 78.65/50.48 (v90(constB157, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19081, 19517])).
% 78.65/50.48 tff(19519,plain,
% 78.65/50.48 (~v130(constB155, bitIndex0)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19085, 2112, 19500])).
% 78.65/50.48 tff(19520,plain,
% 78.65/50.48 (~v127(constB155, bitIndex0)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19093, 19519])).
% 78.65/50.48 tff(19521,plain,
% 78.65/50.48 (~v129(constB156, bitIndex0)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19098, 19520])).
% 78.65/50.48 tff(19522,plain,
% 78.65/50.48 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19105, 1145, 19521])).
% 78.65/50.48 tff(19523,plain,
% 78.65/50.48 (~v90(constB156, bitIndex0)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19522, 19506])).
% 78.65/50.48 tff(19524,plain,
% 78.65/50.48 (~v90(constB157, bitIndex0)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19115, 19523])).
% 78.65/50.48 tff(19525,plain,
% 78.65/50.48 (v125(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19119, 2156, 19524, 19518, 19512])).
% 78.65/50.48 tff(19526,plain,
% 78.65/50.48 (v113(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19123, 2167, 19525])).
% 78.65/50.48 tff(19527,plain,
% 78.65/50.48 (v112(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19135, 19526])).
% 78.65/50.48 tff(19528,plain,
% 78.65/50.48 (v108(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19139, 464, 19527])).
% 78.65/50.48 tff(19529,plain,
% 78.65/50.48 (v110(constB158)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19150, 19528])).
% 78.65/50.48 tff(19530,plain,
% 78.65/50.48 (v100(constB158)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19176, 19529])).
% 78.65/50.48 tff(19531,plain,
% 78.65/50.48 (~v121(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19180, 2218, 19512])).
% 78.65/50.48 tff(19532,plain,
% 78.65/50.48 (~v122(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19184, 2229, 19512])).
% 78.65/50.48 tff(19533,plain,
% 78.65/50.48 (~v119(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19188, 2243, 19518])).
% 78.65/50.48 tff(19534,plain,
% 78.65/50.48 (~v120(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19192, 2254, 19518])).
% 78.65/50.48 tff(19535,plain,
% 78.65/50.48 (~v123(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19196, 2265, 19518])).
% 78.65/50.48 tff(19536,plain,
% 78.65/50.48 (~v124(constB157)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19200, 2276, 19518])).
% 78.65/50.48 tff(19537,plain,
% 78.65/50.48 (~v130(constB157, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19207, 2290, 19536, 19535, 19534, 19533, 19532, 19531])).
% 78.65/50.48 tff(19538,plain,
% 78.65/50.48 (~v127(constB157, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19215, 19537])).
% 78.65/50.48 tff(19539,plain,
% 78.65/50.48 (~v129(constB158, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19220, 19538])).
% 78.65/50.48 tff(19540,plain,
% 78.65/50.48 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19227, 655, 19539])).
% 78.65/50.48 tff(19541,plain,
% 78.65/50.48 (~v90(constB158, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19540, 19530])).
% 78.65/50.48 tff(19542,plain,
% 78.65/50.48 (~v90(constB159, bitIndex2)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19255, 19541])).
% 78.65/50.48 tff(19543,plain,
% 78.65/50.48 (~v130(constB157, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19262, 2355, 19536, 19535, 19534, 19533, 19532, 19531])).
% 78.65/50.48 tff(19544,plain,
% 78.65/50.48 (~v127(constB157, bitIndex1)),
% 78.65/50.48 inference(unit_resolution,[status(thm)],[19270, 19543])).
% 78.65/50.48 tff(19545,plain,
% 78.65/50.49 (~v129(constB158, bitIndex1)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19275, 19544])).
% 78.65/50.49 tff(19546,plain,
% 78.65/50.49 ((~v90(constB158, bitIndex1)) | (~v100(constB158))),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19282, 747, 19545])).
% 78.65/50.49 tff(19547,plain,
% 78.65/50.49 (~v90(constB158, bitIndex1)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19546, 19530])).
% 78.65/50.49 tff(19548,plain,
% 78.65/50.49 (~v90(constB159, bitIndex1)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19292, 19547])).
% 78.65/50.49 tff(19549,plain,
% 78.65/50.49 (v130(constB157, bitIndex0)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19299, 2402, 19536, 19535, 19534, 19533, 19532, 19531])).
% 78.65/50.49 tff(19550,plain,
% 78.65/50.49 (v127(constB157, bitIndex0)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19304, 19549])).
% 78.65/50.49 tff(19551,plain,
% 78.65/50.49 (v129(constB158, bitIndex0)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19309, 19550])).
% 78.65/50.49 tff(19552,plain,
% 78.65/50.49 (v90(constB158, bitIndex0) | (~v100(constB158))),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19316, 818, 19551])).
% 78.65/50.49 tff(19553,plain,
% 78.65/50.49 (v90(constB158, bitIndex0)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19552, 19530])).
% 78.65/50.49 tff(19554,plain,
% 78.65/50.49 (v90(constB159, bitIndex0)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19326, 19553])).
% 78.65/50.49 tff(19555,plain,
% 78.65/50.49 (v120(constB159)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19333, 855, 19554, 19548, 19542])).
% 78.65/50.49 tff(19556,assumption,(v90(constB160, bitIndex2)), introduced(assumption)).
% 78.65/50.49 tff(19557,plain,
% 78.65/50.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19558,plain,
% 78.65/50.49 (((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2))) <=> (v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19559,plain,
% 78.65/50.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2))))),
% 78.65/50.49 inference(monotonicity,[status(thm)],[19558])).
% 78.65/50.49 tff(19560,plain,
% 78.65/50.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 78.65/50.49 inference(transitivity,[status(thm)],[19559, 19557])).
% 78.65/50.49 tff(19561,plain,
% 78.65/50.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 78.65/50.49 inference(quant_inst,[status(thm)],[])).
% 78.65/50.49 tff(19562,plain,
% 78.65/50.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2))),
% 78.65/50.49 inference(modus_ponens,[status(thm)],[19561, 19560])).
% 78.65/50.49 tff(19563,plain,
% 78.65/50.49 (v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2))),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19562, 339, 19374])).
% 78.65/50.49 tff(19564,plain,
% 78.65/50.49 (v100(constB160)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19563, 19542, 19556])).
% 78.65/50.49 tff(19565,plain,
% 78.65/50.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19566,plain,
% 78.65/50.49 (((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19567,plain,
% 78.65/50.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))))),
% 78.65/50.49 inference(monotonicity,[status(thm)],[19566])).
% 78.65/50.49 tff(19568,plain,
% 78.65/50.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 78.65/50.49 inference(transitivity,[status(thm)],[19567, 19565])).
% 78.65/50.49 tff(19569,plain,
% 78.65/50.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))),
% 78.65/50.49 inference(quant_inst,[status(thm)],[])).
% 78.65/50.49 tff(19570,plain,
% 78.65/50.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 78.65/50.49 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 78.65/50.49 tff(19571,plain,
% 78.65/50.49 (v129(constB160, bitIndex2) | (~v100(constB160))),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19570, 655, 19556])).
% 78.65/50.49 tff(19572,plain,
% 78.65/50.49 (v129(constB160, bitIndex2)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19571, 19564])).
% 78.65/50.49 tff(19573,plain,
% 78.65/50.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19574,plain,
% 78.65/50.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 78.65/50.49 inference(quant_inst,[status(thm)],[])).
% 78.65/50.49 tff(19575,plain,
% 78.65/50.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 78.65/50.49 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 78.65/50.49 tff(19576,plain,
% 78.65/50.49 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19575, 451, 19374])).
% 78.65/50.49 tff(19577,plain,
% 78.65/50.49 (v127(constB159, bitIndex2)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19576, 19572])).
% 78.65/50.49 tff(19578,plain,
% 78.65/50.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19579,plain,
% 78.65/50.49 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19580,plain,
% 78.65/50.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 78.65/50.49 inference(monotonicity,[status(thm)],[19579])).
% 78.65/50.49 tff(19581,plain,
% 78.65/50.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 78.65/50.49 inference(transitivity,[status(thm)],[19580, 19578])).
% 78.65/50.49 tff(19582,plain,
% 78.65/50.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 78.65/50.49 inference(quant_inst,[status(thm)],[])).
% 78.65/50.49 tff(19583,plain,
% 78.65/50.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 78.65/50.49 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 78.65/50.49 tff(19584,plain,
% 78.65/50.49 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19583, 430, 19362])).
% 78.65/50.49 tff(19585,plain,
% 78.65/50.49 (v130(constB159, bitIndex2)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19584, 19577])).
% 78.65/50.49 tff(19586,plain,
% 78.65/50.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19587,plain,
% 78.65/50.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 78.65/50.49 inference(quant_inst,[status(thm)],[])).
% 78.65/50.49 tff(19588,plain,
% 78.65/50.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2))),
% 78.65/50.49 inference(modus_ponens,[status(thm)],[19587, 19586])).
% 78.65/50.49 tff(19589,plain,
% 78.65/50.49 ($false),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19588, 872, 19585, 19555])).
% 78.65/50.49 tff(19590,plain,((~v124(constB155)) | (~v90(constB160, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 78.65/50.49 tff(19591,plain,
% 78.65/50.49 (~v90(constB160, bitIndex2)),
% 78.65/50.49 inference(unit_resolution,[status(thm)],[19590, 18941])).
% 78.65/50.49 tff(19592,plain,
% 78.65/50.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19593,plain,
% 78.65/50.49 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 78.65/50.49 inference(rewrite,[status(thm)],[])).
% 78.65/50.49 tff(19594,plain,
% 78.65/50.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 78.65/50.50 inference(monotonicity,[status(thm)],[19593])).
% 78.65/50.50 tff(19595,plain,
% 78.65/50.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 78.65/50.50 inference(transitivity,[status(thm)],[19594, 19592])).
% 78.65/50.50 tff(19596,plain,
% 78.65/50.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19597,plain,
% 78.65/50.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 78.65/50.50 tff(19598,plain,
% 78.65/50.50 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19597, 339, 19436])).
% 78.65/50.50 tff(19599,plain,
% 78.65/50.50 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19598, 19448])).
% 78.65/50.50 tff(19600,plain,
% 78.65/50.50 (~v90(constB161, bitIndex2)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19599, 19591])).
% 78.65/50.50 tff(19601,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19602,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19603,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19602, 19601])).
% 78.65/50.50 tff(19604,plain,
% 78.65/50.50 (~v88(constB161, bitIndex2)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19603, 11467, 19600])).
% 78.65/50.50 tff(19605,plain,
% 78.65/50.50 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 78.65/50.50 inference(bind,[status(th)],[])).
% 78.65/50.50 tff(19606,plain,
% 78.65/50.50 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(quant_intro,[status(thm)],[19605])).
% 78.65/50.50 tff(19607,plain,
% 78.65/50.50 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19608,plain,
% 78.65/50.50 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 78.65/50.50 inference(bind,[status(th)],[])).
% 78.65/50.50 tff(19609,plain,
% 78.65/50.50 (![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(quant_intro,[status(thm)],[19608])).
% 78.65/50.50 tff(19610,axiom,(![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 78.65/50.50 tff(19611,plain,
% 78.65/50.50 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19610, 19609])).
% 78.65/50.50 tff(19612,plain,
% 78.65/50.50 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19611, 19607])).
% 78.65/50.50 tff(19613,plain,(
% 78.65/50.50 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(skolemize,[status(sab)],[19612])).
% 78.65/50.50 tff(19614,plain,
% 78.65/50.50 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19613, 19606])).
% 78.65/50.50 tff(19615,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v143(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v143(constB161))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19616,plain,
% 78.65/50.50 ((v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161)) <=> (v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v143(constB161))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19617,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v143(constB161)))),
% 78.65/50.50 inference(monotonicity,[status(thm)],[19616])).
% 78.65/50.50 tff(19618,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v143(constB161))),
% 78.65/50.50 inference(transitivity,[status(thm)],[19617, 19615])).
% 78.65/50.50 tff(19619,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19620,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v143(constB161)),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19619, 19618])).
% 78.65/50.50 tff(19621,plain,
% 78.65/50.50 (v88(constB161, bitIndex0) | (~v88(constB161, bitIndex1)) | v143(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19620, 19614, 19604])).
% 78.65/50.50 tff(19622,plain,
% 78.65/50.50 (v143(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19621, 19499, 19461])).
% 78.65/50.50 tff(19623,plain,
% 78.65/50.50 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v143(VarCurr))) <=> (v142(VarCurr) | (~v143(VarCurr))))),
% 78.65/50.50 inference(bind,[status(th)],[])).
% 78.65/50.50 tff(19624,plain,
% 78.65/50.50 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 78.65/50.50 inference(quant_intro,[status(thm)],[19623])).
% 78.65/50.50 tff(19625,plain,
% 78.65/50.50 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19626,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 78.65/50.50 tff(19627,plain,
% 78.65/50.50 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19626, 19625])).
% 78.65/50.50 tff(19628,plain,(
% 78.65/50.50 ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 78.65/50.50 inference(skolemize,[status(sab)],[19627])).
% 78.65/50.50 tff(19629,plain,
% 78.65/50.50 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19628, 19624])).
% 78.65/50.50 tff(19630,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB161) | (~v143(constB161)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB161) | (~v143(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19631,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB161) | (~v143(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19632,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB161) | (~v143(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 78.65/50.50 tff(19633,plain,
% 78.65/50.50 (v142(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19632, 19629, 19622])).
% 78.65/50.50 tff(19634,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB161) | (~v142(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19635,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB161) | (~v142(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19636,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB161) | (~v142(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19635, 19634])).
% 78.65/50.50 tff(19637,plain,
% 78.65/50.50 (v148(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19636, 10795, 19633])).
% 78.65/50.50 tff(19638,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB161) | (~v142(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19639,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB161) | (~v142(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19640,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB161) | (~v142(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19639, 19638])).
% 78.65/50.50 tff(19641,plain,
% 78.65/50.50 (v227(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19640, 10806, 19633])).
% 78.65/50.50 tff(19642,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB161) | (~v227(constB161)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB161) | (~v227(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19643,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB161) | (~v227(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19644,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB161) | (~v227(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19643, 19642])).
% 78.65/50.50 tff(19645,plain,
% 78.65/50.50 (v226(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19644, 10817, 19641])).
% 78.65/50.50 tff(19646,plain,
% 78.65/50.50 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB161) | (~v226(constB161)) | (~v148(constB161)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB161) | (~v226(constB161)) | (~v148(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19647,plain,
% 78.65/50.50 (((~v148(constB161)) | (~v226(constB161)) | v86(constB161)) <=> (v86(constB161) | (~v226(constB161)) | (~v148(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19648,plain,
% 78.65/50.50 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB161)) | (~v226(constB161)) | v86(constB161))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB161) | (~v226(constB161)) | (~v148(constB161))))),
% 78.65/50.50 inference(monotonicity,[status(thm)],[19647])).
% 78.65/50.50 tff(19649,plain,
% 78.65/50.50 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB161)) | (~v226(constB161)) | v86(constB161))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB161) | (~v226(constB161)) | (~v148(constB161)))),
% 78.65/50.50 inference(transitivity,[status(thm)],[19648, 19646])).
% 78.65/50.50 tff(19650,plain,
% 78.65/50.50 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB161)) | (~v226(constB161)) | v86(constB161))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19651,plain,
% 78.65/50.50 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB161) | (~v226(constB161)) | (~v148(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19650, 19649])).
% 78.65/50.50 tff(19652,plain,
% 78.65/50.50 (v86(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19651, 10831, 19645, 19637])).
% 78.65/50.50 tff(19653,plain,
% 78.65/50.50 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB161)) | (~v295(constB161)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB161)) | (~v295(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19654,plain,
% 78.65/50.50 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB161)) | (~v295(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19655,plain,
% 78.65/50.50 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB161)) | (~v295(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 78.65/50.50 tff(19656,plain,
% 78.65/50.50 (~v295(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19655, 10845, 19652])).
% 78.65/50.50 tff(19657,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB161) | (~v294(constB161)))) <=> ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB161) | (~v294(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19658,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB161) | (~v294(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19659,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB161) | (~v294(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19658, 19657])).
% 78.65/50.50 tff(19660,plain,
% 78.65/50.50 (~v294(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19659, 10856, 19656])).
% 78.65/50.50 tff(19661,plain,
% 78.65/50.50 (^[VarCurr: $i] : refl((v294(VarCurr) | (~v293(VarCurr))) <=> (v294(VarCurr) | (~v293(VarCurr))))),
% 78.65/50.50 inference(bind,[status(th)],[])).
% 78.65/50.50 tff(19662,plain,
% 78.65/50.50 (![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))),
% 78.65/50.50 inference(quant_intro,[status(thm)],[19661])).
% 78.65/50.50 tff(19663,plain,
% 78.65/50.50 (![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19664,axiom,(![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_83_1_1_1_1')).
% 78.65/50.50 tff(19665,plain,
% 78.65/50.50 (![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19664, 19663])).
% 78.65/50.50 tff(19666,plain,(
% 78.65/50.50 ![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))),
% 78.65/50.50 inference(skolemize,[status(sab)],[19665])).
% 78.65/50.50 tff(19667,plain,
% 78.65/50.50 (![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19666, 19662])).
% 78.65/50.50 tff(19668,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB161) | (~v293(constB161)))) <=> ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB161) | (~v293(constB161)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19669,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB161) | (~v293(constB161)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19670,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB161) | (~v293(constB161))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19669, 19668])).
% 78.65/50.50 tff(19671,plain,
% 78.65/50.50 (~v293(constB161)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19670, 19667, 19660])).
% 78.65/50.50 tff(19672,plain,
% 78.65/50.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19673,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19674,plain,
% 78.65/50.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0))),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19673, 19672])).
% 78.65/50.50 tff(19675,plain,
% 78.65/50.50 (~v88(constB157, bitIndex0)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19674, 10755, 19116])).
% 78.65/50.50 tff(19676,plain,
% 78.65/50.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19677,plain,
% 78.65/50.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19678,plain,
% 78.65/50.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2)),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19677, 19676])).
% 78.65/50.50 tff(19679,plain,
% 78.65/50.50 (v88(constB157, bitIndex2)),
% 78.65/50.50 inference(unit_resolution,[status(thm)],[19678, 10735, 19051])).
% 78.65/50.50 tff(19680,plain,
% 78.65/50.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 78.65/50.50 inference(rewrite,[status(thm)],[])).
% 78.65/50.50 tff(19681,plain,
% 78.65/50.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 78.65/50.50 inference(quant_inst,[status(thm)],[])).
% 78.65/50.50 tff(19682,plain,
% 78.65/50.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1)),
% 78.65/50.50 inference(modus_ponens,[status(thm)],[19681, 19680])).
% 78.65/50.50 tff(19683,plain,
% 78.65/50.51 (v88(constB157, bitIndex1)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19682, 10690, 19082])).
% 78.65/50.51 tff(19684,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19685,plain,
% 78.65/50.51 (((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157)) <=> (v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19686,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157)))),
% 78.65/50.51 inference(monotonicity,[status(thm)],[19685])).
% 78.65/50.51 tff(19687,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))),
% 78.65/50.51 inference(transitivity,[status(thm)],[19686, 19684])).
% 78.65/50.51 tff(19688,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19689,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157)),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 78.65/50.51 tff(19690,plain,
% 78.65/50.51 (v144(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19689, 10769, 19683, 19679, 19675])).
% 78.65/50.51 tff(19691,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB157) | (~v144(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19692,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB157) | (~v144(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19693,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB157) | (~v144(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 78.65/50.51 tff(19694,plain,
% 78.65/50.51 (v142(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19693, 10784, 19690])).
% 78.65/50.51 tff(19695,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB157) | (~v142(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19696,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB157) | (~v142(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19697,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB157) | (~v142(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 78.65/50.51 tff(19698,plain,
% 78.65/50.51 (v227(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19697, 10806, 19694])).
% 78.65/50.51 tff(19699,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB157) | (~v227(constB157)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB157) | (~v227(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19700,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB157) | (~v227(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19701,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB157) | (~v227(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 78.65/50.51 tff(19702,plain,
% 78.65/50.51 (v226(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19701, 10817, 19698])).
% 78.65/50.51 tff(19703,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v139(constB157)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v139(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19704,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v139(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19705,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v139(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 78.65/50.51 tff(19706,plain,
% 78.65/50.51 (~v139(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19705, 11863, 19683])).
% 78.65/50.51 tff(19707,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v140(constB157)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v140(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19708,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v140(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19709,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v140(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19708, 19707])).
% 78.65/50.51 tff(19710,plain,
% 78.65/50.51 (~v140(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19709, 11526, 19683])).
% 78.65/50.51 tff(19711,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB157) | v139(constB157) | (~v168(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19712,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19713,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB157) | v139(constB157) | (~v168(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 78.65/50.51 tff(19714,plain,
% 78.65/50.51 (~v168(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19713, 10907, 19710, 19706])).
% 78.65/50.51 tff(19715,plain,
% 78.65/50.51 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB157)) | v168(constB157) | (~v226(constB157)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v226(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19716,plain,
% 78.65/50.51 ((v168(constB157) | (~v226(constB157)) | (~v161(constB157))) <=> ((~v161(constB157)) | v168(constB157) | (~v226(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19717,plain,
% 78.65/50.51 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB157) | (~v226(constB157)) | (~v161(constB157)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB157)) | v168(constB157) | (~v226(constB157))))),
% 78.65/50.51 inference(monotonicity,[status(thm)],[19716])).
% 78.65/50.51 tff(19718,plain,
% 78.65/50.51 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB157) | (~v226(constB157)) | (~v161(constB157)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v226(constB157)))),
% 78.65/50.51 inference(transitivity,[status(thm)],[19717, 19715])).
% 78.65/50.51 tff(19719,plain,
% 78.65/50.51 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB157) | (~v226(constB157)) | (~v161(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19720,plain,
% 78.65/50.51 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v226(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19719, 19718])).
% 78.65/50.51 tff(19721,plain,
% 78.65/50.51 ((~v161(constB157)) | (~v226(constB157))),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19720, 10975, 19714])).
% 78.65/50.51 tff(19722,plain,
% 78.65/50.51 (~v161(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19721, 19702])).
% 78.65/50.51 tff(19723,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB157) | (~v187(constB157)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB157) | (~v187(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19724,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB157) | (~v187(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19725,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB157) | (~v187(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19724, 19723])).
% 78.65/50.51 tff(19726,plain,
% 78.65/50.51 (~v187(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19725, 10989, 19722])).
% 78.65/50.51 tff(19727,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19728,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19729,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19728, 19727])).
% 78.65/50.51 tff(19730,plain,
% 78.65/50.51 (~v185(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19729, 11000, 19726])).
% 78.65/50.51 tff(19731,assumption,(v18(constB158)), introduced(assumption)).
% 78.65/50.51 tff(19732,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB158))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19733,plain,
% 78.65/50.51 ($false),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19732, 70, 19731])).
% 78.65/50.51 tff(19734,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 78.65/50.51 tff(19735,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19736,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19737,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19736, 19735])).
% 78.65/50.51 tff(19738,plain,
% 78.65/50.51 (v22(constB158)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19737, 83, 19163])).
% 78.65/50.51 tff(19739,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19740,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19741,plain,
% 78.65/50.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158)),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19740, 19739])).
% 78.65/50.51 tff(19742,plain,
% 78.65/50.51 ((~v19(constB158)) | v18(constB158)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19741, 97, 19738])).
% 78.65/50.51 tff(19743,plain,
% 78.65/50.51 (~v19(constB158)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19742, 19734])).
% 78.65/50.51 tff(19744,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19745,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19746,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 78.65/50.51 tff(19747,plain,
% 78.65/50.51 (v13(constB158)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19746, 112, 19743])).
% 78.65/50.51 tff(19748,plain,
% 78.65/50.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19749,plain,
% 78.65/50.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19750,plain,
% 78.65/50.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157)),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 78.65/50.51 tff(19751,plain,
% 78.65/50.51 ((~v13(constB158)) | v9(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19750, 129, 19143])).
% 78.65/50.51 tff(19752,plain,
% 78.65/50.51 (v9(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19751, 19747])).
% 78.65/50.51 tff(19753,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19754,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19755,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157)),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19754, 19753])).
% 78.65/50.51 tff(19756,plain,
% 78.65/50.51 ((~v9(constB157)) | v184(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19755, 11036, 19027])).
% 78.65/50.51 tff(19757,plain,
% 78.65/50.51 (v184(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19756, 19752])).
% 78.65/50.51 tff(19758,plain,
% 78.65/50.51 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB157) | (~v184(constB157)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB157) | (~v184(constB157)))),
% 78.65/50.51 inference(rewrite,[status(thm)],[])).
% 78.65/50.51 tff(19759,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB157) | (~v184(constB157)))),
% 78.65/50.51 inference(quant_inst,[status(thm)],[])).
% 78.65/50.51 tff(19760,plain,
% 78.65/50.51 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB157) | (~v184(constB157))),
% 78.65/50.51 inference(modus_ponens,[status(thm)],[19759, 19758])).
% 78.65/50.51 tff(19761,plain,
% 78.65/50.51 (v183(constB157)),
% 78.65/50.51 inference(unit_resolution,[status(thm)],[19760, 11048, 19757])).
% 78.65/50.51 tff(19762,plain,
% 78.65/50.51 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19763,plain,
% 78.65/50.52 (((~v183(constB157)) | (~v181(constB157))) <=> ((~v181(constB157)) | (~v183(constB157)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19764,plain,
% 78.65/50.52 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB157)) | (~v181(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157))))),
% 78.65/50.52 inference(monotonicity,[status(thm)],[19763])).
% 78.65/50.52 tff(19765,plain,
% 78.65/50.52 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB157)) | (~v181(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 78.65/50.52 inference(transitivity,[status(thm)],[19764, 19762])).
% 78.65/50.52 tff(19766,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB157)) | (~v181(constB157)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19767,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB157)) | (~v183(constB157))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 78.65/50.52 tff(19768,plain,
% 78.65/50.52 (~v181(constB157)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19767, 11059, 19761])).
% 78.65/50.52 tff(19769,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19770,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19771,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 78.65/50.52 tff(19772,plain,
% 78.65/50.52 (v185(constB157) | (~v178(constB157))),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19771, 11073, 19768])).
% 78.65/50.52 tff(19773,plain,
% 78.65/50.52 (~v178(constB157)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19772, 19730])).
% 78.65/50.52 tff(19774,plain,
% 78.65/50.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19775,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19776,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19775, 19774])).
% 78.65/50.52 tff(19777,plain,
% 78.65/50.52 (v178(constB157) | (~v180(constB158))),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19776, 11088, 19143])).
% 78.65/50.52 tff(19778,plain,
% 78.65/50.52 (~v180(constB158)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19777, 19773])).
% 78.65/50.52 tff(19779,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19780,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19781,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 78.65/50.52 tff(19782,plain,
% 78.65/50.52 (~v181(constB158)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19781, 11100, 19778])).
% 78.65/50.52 tff(19783,plain,
% 78.65/50.52 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19784,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19785,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19784, 19783])).
% 78.65/50.52 tff(19786,plain,
% 78.65/50.52 (~v184(constB158)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19785, 11111, 19163])).
% 78.65/50.52 tff(19787,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19788,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19789,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19788, 19787])).
% 78.65/50.52 tff(19790,plain,
% 78.65/50.52 (~v187(constB158)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19789, 11122, 19786])).
% 78.65/50.52 tff(19791,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19792,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19793,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 78.65/50.52 tff(19794,plain,
% 78.65/50.52 (~v185(constB158)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19793, 11000, 19790])).
% 78.65/50.52 tff(19795,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19796,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19797,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19796, 19795])).
% 78.65/50.52 tff(19798,plain,
% 78.65/50.52 (v181(constB158) | (~v178(constB158))),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19797, 11073, 19794])).
% 78.65/50.52 tff(19799,plain,
% 78.65/50.52 (~v178(constB158)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19798, 19782])).
% 78.65/50.52 tff(19800,plain,
% 78.65/50.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19801,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19802,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 78.65/50.52 tff(19803,plain,
% 78.65/50.52 (v178(constB158) | (~v180(constB159))),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19802, 11088, 19235])).
% 78.65/50.52 tff(19804,plain,
% 78.65/50.52 (~v180(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19803, 19799])).
% 78.65/50.52 tff(19805,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB159) | (~v215(constB159)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB159) | (~v215(constB159)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19806,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB159) | (~v215(constB159)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19807,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB159) | (~v215(constB159))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19806, 19805])).
% 78.65/50.52 tff(19808,plain,
% 78.65/50.52 (~v215(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19807, 11147, 19804])).
% 78.65/50.52 tff(19809,assumption,(v18(constB160)), introduced(assumption)).
% 78.65/50.52 tff(19810,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB160))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19811,plain,
% 78.65/50.52 ($false),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19810, 70, 19809])).
% 78.65/50.52 tff(19812,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 78.65/50.52 tff(19813,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19814,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19815,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 78.65/50.52 tff(19816,plain,
% 78.65/50.52 (v22(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19815, 83, 19394])).
% 78.65/50.52 tff(19817,plain,
% 78.65/50.52 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19818,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19819,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160)),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19818, 19817])).
% 78.65/50.52 tff(19820,plain,
% 78.65/50.52 ((~v19(constB160)) | v18(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19819, 97, 19816])).
% 78.65/50.52 tff(19821,plain,
% 78.65/50.52 (~v19(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19820, 19812])).
% 78.65/50.52 tff(19822,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19823,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19824,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19823, 19822])).
% 78.65/50.52 tff(19825,plain,
% 78.65/50.52 (v13(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19824, 112, 19821])).
% 78.65/50.52 tff(19826,plain,
% 78.65/50.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19827,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19828,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159)),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19827, 19826])).
% 78.65/50.52 tff(19829,plain,
% 78.65/50.52 ((~v13(constB160)) | v9(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19828, 129, 19374])).
% 78.65/50.52 tff(19830,plain,
% 78.65/50.52 (v9(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19829, 19825])).
% 78.65/50.52 tff(19831,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v184(constB159))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB159) | (~v9(constB159)) | v184(constB159))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19832,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v184(constB159))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19833,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB159) | (~v9(constB159)) | v184(constB159)),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 78.65/50.52 tff(19834,plain,
% 78.65/50.52 ((~v9(constB159)) | v184(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19833, 11036, 19232])).
% 78.65/50.52 tff(19835,plain,
% 78.65/50.52 (v184(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19834, 19830])).
% 78.65/50.52 tff(19836,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB159) | (~v184(constB159)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB159) | (~v184(constB159)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19837,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB159) | (~v184(constB159)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19838,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB159) | (~v184(constB159))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 78.65/50.52 tff(19839,plain,
% 78.65/50.52 (v183(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19838, 11048, 19835])).
% 78.65/50.52 tff(19840,plain,
% 78.65/50.52 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB159)) | (~v214(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB159)) | (~v214(constB159)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19841,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB159)) | (~v214(constB159)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19842,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB159)) | (~v214(constB159))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 78.65/50.52 tff(19843,plain,
% 78.65/50.52 (~v214(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19842, 11189, 19839])).
% 78.65/50.52 tff(19844,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB159) | v215(constB159) | (~v211(constB159)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB159) | v215(constB159) | (~v211(constB159)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19845,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB159) | v215(constB159) | (~v211(constB159)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19846,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB159) | v215(constB159) | (~v211(constB159))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19845, 19844])).
% 78.65/50.52 tff(19847,plain,
% 78.65/50.52 (v215(constB159) | (~v211(constB159))),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19846, 11203, 19843])).
% 78.65/50.52 tff(19848,plain,
% 78.65/50.52 (~v211(constB159)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19847, 19808])).
% 78.65/50.52 tff(19849,plain,
% 78.65/50.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19850,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19851,plain,
% 78.65/50.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19850, 19849])).
% 78.65/50.52 tff(19852,plain,
% 78.65/50.52 (v211(constB159) | (~v213(constB160))),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19851, 11218, 19374])).
% 78.65/50.52 tff(19853,plain,
% 78.65/50.52 (~v213(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19852, 19848])).
% 78.65/50.52 tff(19854,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB160) | (~v214(constB160)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB160) | (~v214(constB160)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19855,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB160) | (~v214(constB160)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19856,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB160) | (~v214(constB160))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 78.65/50.52 tff(19857,plain,
% 78.65/50.52 (~v214(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19856, 11230, 19853])).
% 78.65/50.52 tff(19858,plain,
% 78.65/50.52 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB160)) | (~v184(constB160)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB160)) | (~v184(constB160)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19859,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB160)) | (~v184(constB160)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19860,plain,
% 78.65/50.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB160)) | (~v184(constB160))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19859, 19858])).
% 78.65/50.52 tff(19861,plain,
% 78.65/50.52 (~v184(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19860, 11111, 19394])).
% 78.65/50.52 tff(19862,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB160) | (~v217(constB160)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB160) | (~v217(constB160)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19863,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB160) | (~v217(constB160)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19864,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB160) | (~v217(constB160))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 78.65/50.52 tff(19865,plain,
% 78.65/50.52 (~v217(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19864, 11245, 19861])).
% 78.65/50.52 tff(19866,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB160) | (~v216(constB160)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB160) | (~v216(constB160)))),
% 78.65/50.52 inference(rewrite,[status(thm)],[])).
% 78.65/50.52 tff(19867,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB160) | (~v216(constB160)))),
% 78.65/50.52 inference(quant_inst,[status(thm)],[])).
% 78.65/50.52 tff(19868,plain,
% 78.65/50.52 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB160) | (~v216(constB160))),
% 78.65/50.52 inference(modus_ponens,[status(thm)],[19867, 19866])).
% 78.65/50.52 tff(19869,plain,
% 78.65/50.52 (~v216(constB160)),
% 78.65/50.52 inference(unit_resolution,[status(thm)],[19868, 11256, 19865])).
% 78.65/50.52 tff(19870,plain,
% 78.65/50.52 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB160) | (~v215(constB160)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB160) | (~v215(constB160)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19871,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB160) | (~v215(constB160)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19872,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB160) | (~v215(constB160))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19871, 19870])).
% 78.65/50.53 tff(19873,plain,
% 78.65/50.53 (~v215(constB160)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19872, 11267, 19869])).
% 78.65/50.53 tff(19874,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB160) | v215(constB160) | (~v211(constB160)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB160) | v215(constB160) | (~v211(constB160)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19875,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB160) | v215(constB160) | (~v211(constB160)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19876,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB160) | v215(constB160) | (~v211(constB160))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 78.65/50.53 tff(19877,plain,
% 78.65/50.53 (v214(constB160) | (~v211(constB160))),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19876, 11203, 19873])).
% 78.65/50.53 tff(19878,plain,
% 78.65/50.53 (~v211(constB160)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19877, 19857])).
% 78.65/50.53 tff(19879,plain,
% 78.65/50.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19880,plain,
% 78.65/50.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19881,plain,
% 78.65/50.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19880, 19879])).
% 78.65/50.53 tff(19882,plain,
% 78.65/50.53 (v211(constB160) | (~v213(constB161))),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19881, 11218, 19436])).
% 78.65/50.53 tff(19883,plain,
% 78.65/50.53 (~v213(constB161)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19882, 19878])).
% 78.65/50.53 tff(19884,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB161) | (~v297(constB161)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB161) | (~v297(constB161)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19885,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB161) | (~v297(constB161)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19886,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB161) | (~v297(constB161))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19885, 19884])).
% 78.65/50.53 tff(19887,plain,
% 78.65/50.53 (~v297(constB161)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19886, 11288, 19883])).
% 78.65/50.53 tff(19888,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB161) | v297(constB161) | (~v292(constB161)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB161) | v297(constB161) | (~v292(constB161)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19889,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB161) | v297(constB161) | (~v292(constB161)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19890,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB161) | v297(constB161) | (~v292(constB161))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19889, 19888])).
% 78.65/50.53 tff(19891,plain,
% 78.65/50.53 (v293(constB161) | (~v292(constB161))),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19890, 11451, 19887])).
% 78.65/50.53 tff(19892,plain,
% 78.65/50.53 (~v292(constB161)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19891, 19671])).
% 78.65/50.53 tff(19893,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19894,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19895,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2)),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19894, 19893])).
% 78.65/50.53 tff(19896,plain,
% 78.65/50.53 (v88(constB155, bitIndex2)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19895, 10735, 18872])).
% 78.65/50.53 tff(19897,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v140(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v140(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19898,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v140(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19899,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v140(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19898, 19897])).
% 78.65/50.53 tff(19900,plain,
% 78.65/50.53 (~v140(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19899, 10893, 19896])).
% 78.65/50.53 tff(19901,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19902,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19903,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0)),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19902, 19901])).
% 78.65/50.53 tff(19904,plain,
% 78.65/50.53 (v88(constB155, bitIndex0)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19903, 11313, 18937])).
% 78.65/50.53 tff(19905,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v139(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v139(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19906,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v139(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19907,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v139(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 78.65/50.53 tff(19908,plain,
% 78.65/50.53 (~v139(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19907, 11324, 19904])).
% 78.65/50.53 tff(19909,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v168(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB155) | v139(constB155) | (~v168(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19910,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v168(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19911,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB155) | v139(constB155) | (~v168(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 78.65/50.53 tff(19912,plain,
% 78.65/50.53 (~v168(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19911, 10907, 19908, 19900])).
% 78.65/50.53 tff(19913,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19914,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19915,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 78.65/50.53 tff(19916,plain,
% 78.65/50.53 (~v88(constB155, bitIndex1)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19915, 10918, 18906])).
% 78.65/50.53 tff(19917,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v147(constB155) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB155, bitIndex2)) | v147(constB155) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19918,plain,
% 78.65/50.53 (((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155)) <=> ((~v88(constB155, bitIndex2)) | v147(constB155) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19919,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v147(constB155) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1)))),
% 78.65/50.53 inference(monotonicity,[status(thm)],[19918])).
% 78.65/50.53 tff(19920,plain,
% 78.65/50.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB155, bitIndex2)) | v147(constB155) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1))),
% 78.65/50.53 inference(transitivity,[status(thm)],[19919, 19917])).
% 78.65/50.53 tff(19921,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19922,plain,
% 78.65/50.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB155, bitIndex2)) | v147(constB155) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1)),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19921, 19920])).
% 78.65/50.53 tff(19923,plain,
% 78.65/50.53 (v147(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19922, 11353, 19904, 19896, 19916])).
% 78.65/50.53 tff(19924,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB155) | (~v147(constB155)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB155) | (~v147(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19925,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB155) | (~v147(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19926,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB155) | (~v147(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19925, 19924])).
% 78.65/50.53 tff(19927,plain,
% 78.65/50.53 (v145(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19926, 11368, 19923])).
% 78.65/50.53 tff(19928,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB155) | (~v145(constB155)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB155) | (~v145(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19929,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB155) | (~v145(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19930,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB155) | (~v145(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19929, 19928])).
% 78.65/50.53 tff(19931,plain,
% 78.65/50.53 (v226(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19930, 10961, 19927])).
% 78.65/50.53 tff(19932,plain,
% 78.65/50.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB155)) | v168(constB155) | (~v226(constB155)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB155)) | v168(constB155) | (~v226(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19933,plain,
% 78.65/50.53 ((v168(constB155) | (~v226(constB155)) | (~v161(constB155))) <=> ((~v161(constB155)) | v168(constB155) | (~v226(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19934,plain,
% 78.65/50.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB155) | (~v226(constB155)) | (~v161(constB155)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB155)) | v168(constB155) | (~v226(constB155))))),
% 78.65/50.53 inference(monotonicity,[status(thm)],[19933])).
% 78.65/50.53 tff(19935,plain,
% 78.65/50.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB155) | (~v226(constB155)) | (~v161(constB155)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB155)) | v168(constB155) | (~v226(constB155)))),
% 78.65/50.53 inference(transitivity,[status(thm)],[19934, 19932])).
% 78.65/50.53 tff(19936,plain,
% 78.65/50.53 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB155) | (~v226(constB155)) | (~v161(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19937,plain,
% 78.65/50.53 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB155)) | v168(constB155) | (~v226(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19936, 19935])).
% 78.65/50.53 tff(19938,plain,
% 78.65/50.53 (~v161(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19937, 10975, 19931, 19912])).
% 78.65/50.53 tff(19939,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB155) | (~v187(constB155)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB155) | (~v187(constB155)))),
% 78.65/50.53 inference(rewrite,[status(thm)],[])).
% 78.65/50.53 tff(19940,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB155) | (~v187(constB155)))),
% 78.65/50.53 inference(quant_inst,[status(thm)],[])).
% 78.65/50.53 tff(19941,plain,
% 78.65/50.53 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB155) | (~v187(constB155))),
% 78.65/50.53 inference(modus_ponens,[status(thm)],[19940, 19939])).
% 78.65/50.53 tff(19942,plain,
% 78.65/50.53 (~v187(constB155)),
% 78.65/50.53 inference(unit_resolution,[status(thm)],[19941, 10989, 19938])).
% 78.65/50.53 tff(19943,plain,
% 78.65/50.53 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB155) | (~v185(constB155)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB155) | (~v185(constB155)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19944,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB155) | (~v185(constB155)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19945,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB155) | (~v185(constB155))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19944, 19943])).
% 78.65/50.54 tff(19946,plain,
% 78.65/50.54 (~v185(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19945, 11000, 19942])).
% 78.65/50.54 tff(19947,assumption,(v18(constB156)), introduced(assumption)).
% 78.65/50.54 tff(19948,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB156))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19949,plain,
% 78.65/50.54 ($false),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19948, 70, 19947])).
% 78.65/50.54 tff(19950,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 78.65/50.54 tff(19951,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19952,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19953,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 78.65/50.54 tff(19954,plain,
% 78.65/50.54 (v22(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19953, 83, 18988])).
% 78.65/50.54 tff(19955,plain,
% 78.65/50.54 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19956,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19957,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156)),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19956, 19955])).
% 78.65/50.54 tff(19958,plain,
% 78.65/50.54 ((~v19(constB156)) | v18(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19957, 97, 19954])).
% 78.65/50.54 tff(19959,plain,
% 78.65/50.54 (~v19(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19958, 19950])).
% 78.65/50.54 tff(19960,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19961,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19962,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 78.65/50.54 tff(19963,plain,
% 78.65/50.54 (v13(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19962, 112, 19959])).
% 78.65/50.54 tff(19964,plain,
% 78.65/50.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19965,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19966,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155)),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 78.65/50.54 tff(19967,plain,
% 78.65/50.54 ((~v13(constB156)) | v9(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19966, 129, 18968])).
% 78.65/50.54 tff(19968,plain,
% 78.65/50.54 (v9(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19967, 19963])).
% 78.65/50.54 tff(19969,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v184(constB155))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB155) | (~v9(constB155)) | v184(constB155))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19970,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v184(constB155))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19971,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB155) | (~v9(constB155)) | v184(constB155)),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 78.65/50.54 tff(19972,plain,
% 78.65/50.54 ((~v9(constB155)) | v184(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19971, 11036, 18848])).
% 78.65/50.54 tff(19973,plain,
% 78.65/50.54 (v184(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19972, 19968])).
% 78.65/50.54 tff(19974,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB155) | (~v184(constB155)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB155) | (~v184(constB155)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19975,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB155) | (~v184(constB155)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19976,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB155) | (~v184(constB155))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19975, 19974])).
% 78.65/50.54 tff(19977,plain,
% 78.65/50.54 (v183(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19976, 11048, 19973])).
% 78.65/50.54 tff(19978,plain,
% 78.65/50.54 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB155)) | (~v183(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB155)) | (~v183(constB155)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19979,plain,
% 78.65/50.54 (((~v183(constB155)) | (~v181(constB155))) <=> ((~v181(constB155)) | (~v183(constB155)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19980,plain,
% 78.65/50.54 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB155)) | (~v181(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB155)) | (~v183(constB155))))),
% 78.65/50.54 inference(monotonicity,[status(thm)],[19979])).
% 78.65/50.54 tff(19981,plain,
% 78.65/50.54 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB155)) | (~v181(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB155)) | (~v183(constB155)))),
% 78.65/50.54 inference(transitivity,[status(thm)],[19980, 19978])).
% 78.65/50.54 tff(19982,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB155)) | (~v181(constB155)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19983,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB155)) | (~v183(constB155))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19982, 19981])).
% 78.65/50.54 tff(19984,plain,
% 78.65/50.54 (~v181(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19983, 11059, 19977])).
% 78.65/50.54 tff(19985,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB155) | v185(constB155) | (~v178(constB155)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB155) | v185(constB155) | (~v178(constB155)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19986,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB155) | v185(constB155) | (~v178(constB155)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19987,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB155) | v185(constB155) | (~v178(constB155))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19986, 19985])).
% 78.65/50.54 tff(19988,plain,
% 78.65/50.54 (v185(constB155) | (~v178(constB155))),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19987, 11073, 19984])).
% 78.65/50.54 tff(19989,plain,
% 78.65/50.54 (~v178(constB155)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19988, 19946])).
% 78.65/50.54 tff(19990,plain,
% 78.65/50.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19991,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19992,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19991, 19990])).
% 78.65/50.54 tff(19993,plain,
% 78.65/50.54 (v178(constB155) | (~v180(constB156))),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19992, 11088, 18968])).
% 78.65/50.54 tff(19994,plain,
% 78.65/50.54 (~v180(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19993, 19989])).
% 78.65/50.54 tff(19995,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB156) | (~v181(constB156)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB156) | (~v181(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(19996,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB156) | (~v181(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(19997,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB156) | (~v181(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 78.65/50.54 tff(19998,plain,
% 78.65/50.54 (~v181(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[19997, 11100, 19994])).
% 78.65/50.54 tff(19999,plain,
% 78.65/50.54 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB156)) | (~v184(constB156)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB156)) | (~v184(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20000,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB156)) | (~v184(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20001,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB156)) | (~v184(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20000, 19999])).
% 78.65/50.54 tff(20002,plain,
% 78.65/50.54 (~v184(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20001, 11111, 18988])).
% 78.65/50.54 tff(20003,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB156) | (~v187(constB156)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB156) | (~v187(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20004,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB156) | (~v187(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20005,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB156) | (~v187(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20004, 20003])).
% 78.65/50.54 tff(20006,plain,
% 78.65/50.54 (~v187(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20005, 11122, 20002])).
% 78.65/50.54 tff(20007,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB156) | (~v185(constB156)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB156) | (~v185(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20008,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB156) | (~v185(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20009,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB156) | (~v185(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 78.65/50.54 tff(20010,plain,
% 78.65/50.54 (~v185(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20009, 11000, 20006])).
% 78.65/50.54 tff(20011,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB156) | v185(constB156) | (~v178(constB156)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB156) | v185(constB156) | (~v178(constB156)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20012,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB156) | v185(constB156) | (~v178(constB156)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20013,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB156) | v185(constB156) | (~v178(constB156))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20012, 20011])).
% 78.65/50.54 tff(20014,plain,
% 78.65/50.54 (v181(constB156) | (~v178(constB156))),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20013, 11073, 20010])).
% 78.65/50.54 tff(20015,plain,
% 78.65/50.54 (~v178(constB156)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20014, 19998])).
% 78.65/50.54 tff(20016,plain,
% 78.65/50.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20017,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20018,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 78.65/50.54 tff(20019,plain,
% 78.65/50.54 (v178(constB156) | (~v180(constB157))),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20018, 11088, 19030])).
% 78.65/50.54 tff(20020,plain,
% 78.65/50.54 (~v180(constB157)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20019, 20015])).
% 78.65/50.54 tff(20021,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB157) | (~v215(constB157)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB157) | (~v215(constB157)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20022,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB157) | (~v215(constB157)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20023,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB157) | (~v215(constB157))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20022, 20021])).
% 78.65/50.54 tff(20024,plain,
% 78.65/50.54 (~v215(constB157)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20023, 11147, 20020])).
% 78.65/50.54 tff(20025,plain,
% 78.65/50.54 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB157)) | (~v214(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB157)) | (~v214(constB157)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20026,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB157)) | (~v214(constB157)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20027,plain,
% 78.65/50.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB157)) | (~v214(constB157))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20026, 20025])).
% 78.65/50.54 tff(20028,plain,
% 78.65/50.54 (~v214(constB157)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20027, 11189, 19761])).
% 78.65/50.54 tff(20029,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB157) | v215(constB157) | (~v211(constB157)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB157) | v215(constB157) | (~v211(constB157)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20030,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB157) | v215(constB157) | (~v211(constB157)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20031,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB157) | v215(constB157) | (~v211(constB157))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 78.65/50.54 tff(20032,plain,
% 78.65/50.54 (v215(constB157) | (~v211(constB157))),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20031, 11203, 20028])).
% 78.65/50.54 tff(20033,plain,
% 78.65/50.54 (~v211(constB157)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20032, 20024])).
% 78.65/50.54 tff(20034,plain,
% 78.65/50.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB157, constB158)) | v211(constB157) | (~v213(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB157, constB158)) | v211(constB157) | (~v213(constB158)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20035,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB157, constB158)) | v211(constB157) | (~v213(constB158)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20036,plain,
% 78.65/50.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB157, constB158)) | v211(constB157) | (~v213(constB158))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20035, 20034])).
% 78.65/50.54 tff(20037,plain,
% 78.65/50.54 (v211(constB157) | (~v213(constB158))),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20036, 11218, 19143])).
% 78.65/50.54 tff(20038,plain,
% 78.65/50.54 (~v213(constB158)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20037, 20033])).
% 78.65/50.54 tff(20039,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB158) | (~v214(constB158)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB158) | (~v214(constB158)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20040,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB158) | (~v214(constB158)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20041,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB158) | (~v214(constB158))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 78.65/50.54 tff(20042,plain,
% 78.65/50.54 (~v214(constB158)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20041, 11230, 20038])).
% 78.65/50.54 tff(20043,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB158) | (~v217(constB158)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB158) | (~v217(constB158)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20044,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB158) | (~v217(constB158)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20045,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB158) | (~v217(constB158))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 78.65/50.54 tff(20046,plain,
% 78.65/50.54 (~v217(constB158)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20045, 11245, 19786])).
% 78.65/50.54 tff(20047,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB158) | (~v216(constB158)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB158) | (~v216(constB158)))),
% 78.65/50.54 inference(rewrite,[status(thm)],[])).
% 78.65/50.54 tff(20048,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB158) | (~v216(constB158)))),
% 78.65/50.54 inference(quant_inst,[status(thm)],[])).
% 78.65/50.54 tff(20049,plain,
% 78.65/50.54 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB158) | (~v216(constB158))),
% 78.65/50.54 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 78.65/50.54 tff(20050,plain,
% 78.65/50.54 (~v216(constB158)),
% 78.65/50.54 inference(unit_resolution,[status(thm)],[20049, 11256, 20046])).
% 78.65/50.54 tff(20051,plain,
% 78.65/50.54 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB158) | (~v215(constB158)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB158) | (~v215(constB158)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20052,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB158) | (~v215(constB158)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20053,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB158) | (~v215(constB158))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 78.65/50.55 tff(20054,plain,
% 78.65/50.55 (~v215(constB158)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20053, 11267, 20050])).
% 78.65/50.55 tff(20055,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB158) | v215(constB158) | (~v211(constB158)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB158) | v215(constB158) | (~v211(constB158)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20056,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB158) | v215(constB158) | (~v211(constB158)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20057,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB158) | v215(constB158) | (~v211(constB158))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 78.65/50.55 tff(20058,plain,
% 78.65/50.55 (v214(constB158) | (~v211(constB158))),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20057, 11203, 20054])).
% 78.65/50.55 tff(20059,plain,
% 78.65/50.55 (~v211(constB158)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20058, 20042])).
% 78.65/50.55 tff(20060,plain,
% 78.65/50.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB158, constB159)) | v211(constB158) | (~v213(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB158, constB159)) | v211(constB158) | (~v213(constB159)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20061,plain,
% 78.65/50.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB158, constB159)) | v211(constB158) | (~v213(constB159)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20062,plain,
% 78.65/50.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB158, constB159)) | v211(constB158) | (~v213(constB159))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20061, 20060])).
% 78.65/50.55 tff(20063,plain,
% 78.65/50.55 (v211(constB158) | (~v213(constB159))),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20062, 11218, 19235])).
% 78.65/50.55 tff(20064,plain,
% 78.65/50.55 (~v213(constB159)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20063, 20059])).
% 78.65/50.55 tff(20065,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB159) | (~v245(constB159)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB159) | (~v245(constB159)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20066,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB159) | (~v245(constB159)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20067,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB159) | (~v245(constB159))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20066, 20065])).
% 78.65/50.55 tff(20068,plain,
% 78.65/50.55 (~v245(constB159)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20067, 11683, 20064])).
% 78.65/50.55 tff(20069,plain,
% 78.65/50.55 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB159)) | (~v244(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB159)) | (~v244(constB159)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20070,plain,
% 78.65/50.55 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB159)) | (~v244(constB159)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20071,plain,
% 78.65/50.55 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB159)) | (~v244(constB159))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20070, 20069])).
% 78.65/50.55 tff(20072,plain,
% 78.65/50.55 (~v244(constB159)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20071, 11694, 19839])).
% 78.65/50.55 tff(20073,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB159) | v245(constB159) | (~v241(constB159)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB159) | v245(constB159) | (~v241(constB159)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20074,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB159) | v245(constB159) | (~v241(constB159)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20075,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB159) | v245(constB159) | (~v241(constB159))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 78.65/50.55 tff(20076,plain,
% 78.65/50.55 (v245(constB159) | (~v241(constB159))),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20075, 11708, 20072])).
% 78.65/50.55 tff(20077,plain,
% 78.65/50.55 (~v241(constB159)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20076, 20068])).
% 78.65/50.55 tff(20078,plain,
% 78.65/50.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB159, constB160)) | v241(constB159) | (~v243(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB159, constB160)) | v241(constB159) | (~v243(constB160)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20079,plain,
% 78.65/50.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB159, constB160)) | v241(constB159) | (~v243(constB160)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20080,plain,
% 78.65/50.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB159, constB160)) | v241(constB159) | (~v243(constB160))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20079, 20078])).
% 78.65/50.55 tff(20081,plain,
% 78.65/50.55 (v241(constB159) | (~v243(constB160))),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20080, 11723, 19374])).
% 78.65/50.55 tff(20082,plain,
% 78.65/50.55 (~v243(constB160)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20081, 20077])).
% 78.65/50.55 tff(20083,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB160) | (~v244(constB160)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB160) | (~v244(constB160)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20084,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB160) | (~v244(constB160)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20085,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB160) | (~v244(constB160))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20084, 20083])).
% 78.65/50.55 tff(20086,plain,
% 78.65/50.55 (~v244(constB160)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20085, 11735, 20082])).
% 78.65/50.55 tff(20087,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB160) | (~v247(constB160)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB160) | (~v247(constB160)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20088,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB160) | (~v247(constB160)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20089,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB160) | (~v247(constB160))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 78.65/50.55 tff(20090,plain,
% 78.65/50.55 (~v247(constB160)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20089, 11746, 19861])).
% 78.65/50.55 tff(20091,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB160) | (~v246(constB160)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB160) | (~v246(constB160)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20092,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB160) | (~v246(constB160)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20093,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB160) | (~v246(constB160))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20092, 20091])).
% 78.65/50.55 tff(20094,plain,
% 78.65/50.55 (~v246(constB160)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20093, 11757, 20090])).
% 78.65/50.55 tff(20095,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB160) | (~v245(constB160)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB160) | (~v245(constB160)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20096,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB160) | (~v245(constB160)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20097,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB160) | (~v245(constB160))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20096, 20095])).
% 78.65/50.55 tff(20098,plain,
% 78.65/50.55 (~v245(constB160)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20097, 11768, 20094])).
% 78.65/50.55 tff(20099,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB160) | v245(constB160) | (~v241(constB160)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB160) | v245(constB160) | (~v241(constB160)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20100,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB160) | v245(constB160) | (~v241(constB160)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20101,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB160) | v245(constB160) | (~v241(constB160))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 78.65/50.55 tff(20102,plain,
% 78.65/50.55 (v244(constB160) | (~v241(constB160))),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20101, 11708, 20098])).
% 78.65/50.55 tff(20103,plain,
% 78.65/50.55 (~v241(constB160)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20102, 20086])).
% 78.65/50.55 tff(20104,plain,
% 78.65/50.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB160, constB161)) | v241(constB160) | (~v243(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB160, constB161)) | v241(constB160) | (~v243(constB161)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20105,plain,
% 78.65/50.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB160, constB161)) | v241(constB160) | (~v243(constB161)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20106,plain,
% 78.65/50.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB160, constB161)) | v241(constB160) | (~v243(constB161))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 78.65/50.55 tff(20107,plain,
% 78.65/50.55 (v241(constB160) | (~v243(constB161))),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20106, 11723, 19436])).
% 78.65/50.55 tff(20108,plain,
% 78.65/50.55 (~v243(constB161)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20107, 20103])).
% 78.65/50.55 tff(20109,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB161) | (~v302(constB161)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB161) | (~v302(constB161)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20110,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB161) | (~v302(constB161)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20111,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB161) | (~v302(constB161))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20110, 20109])).
% 78.65/50.55 tff(20112,plain,
% 78.65/50.55 (~v302(constB161)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20111, 11789, 20108])).
% 78.65/50.55 tff(20113,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB161) | v292(constB161) | v302(constB161))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB161) | v292(constB161) | v302(constB161))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20114,plain,
% 78.65/50.55 ((v292(constB161) | v302(constB161) | v290(constB161)) <=> (v290(constB161) | v292(constB161) | v302(constB161))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20115,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB161) | v302(constB161) | v290(constB161))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB161) | v292(constB161) | v302(constB161)))),
% 78.65/50.55 inference(monotonicity,[status(thm)],[20114])).
% 78.65/50.55 tff(20116,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB161) | v302(constB161) | v290(constB161))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB161) | v292(constB161) | v302(constB161))),
% 78.65/50.55 inference(transitivity,[status(thm)],[20115, 20113])).
% 78.65/50.55 tff(20117,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB161) | v302(constB161) | v290(constB161))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20118,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB161) | v292(constB161) | v302(constB161)),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20117, 20116])).
% 78.65/50.55 tff(20119,plain,
% 78.65/50.55 (v290(constB161) | v292(constB161)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20118, 11803, 20112])).
% 78.65/50.55 tff(20120,plain,
% 78.65/50.55 (v290(constB161)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20119, 19892])).
% 78.65/50.55 tff(20121,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20122,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20123,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 78.65/50.55 tff(20124,plain,
% 78.65/50.55 (~v88(constB153, bitIndex0)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20123, 10755, 18710])).
% 78.65/50.55 tff(20125,plain,
% 78.65/50.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1)))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20126,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1)))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20127,plain,
% 78.65/50.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1))),
% 78.65/50.55 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 78.65/50.55 tff(20128,plain,
% 78.65/50.55 (~v88(constB153, bitIndex1)),
% 78.65/50.55 inference(unit_resolution,[status(thm)],[20127, 10918, 18744])).
% 78.65/50.55 tff(20129,plain,
% 78.65/50.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))),
% 78.65/50.55 inference(rewrite,[status(thm)],[])).
% 78.65/50.55 tff(20130,plain,
% 78.65/50.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))),
% 78.65/50.55 inference(quant_inst,[status(thm)],[])).
% 78.65/50.55 tff(20131,plain,
% 78.65/50.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2)),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20130, 20129])).
% 78.65/50.56 tff(20132,plain,
% 78.65/50.56 (v88(constB153, bitIndex2)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20131, 10735, 18753])).
% 78.65/50.56 tff(20133,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB153, bitIndex2)) | v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20134,plain,
% 78.65/50.56 (((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153)) <=> ((~v88(constB153, bitIndex2)) | v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20135,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)))),
% 78.65/50.56 inference(monotonicity,[status(thm)],[20134])).
% 78.65/50.56 tff(20136,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB153, bitIndex2)) | v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))),
% 78.65/50.56 inference(transitivity,[status(thm)],[20135, 20133])).
% 78.65/50.56 tff(20137,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20138,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB153, bitIndex2)) | v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 78.65/50.56 tff(20139,plain,
% 78.65/50.56 (v146(constB153) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20138, 10936, 20132])).
% 78.65/50.56 tff(20140,plain,
% 78.65/50.56 (v146(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20139, 20128, 20124])).
% 78.65/50.56 tff(20141,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB153) | (~v146(constB153)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB153) | (~v146(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20142,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB153) | (~v146(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20143,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB153) | (~v146(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20142, 20141])).
% 78.65/50.56 tff(20144,plain,
% 78.65/50.56 (v145(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20143, 10950, 20140])).
% 78.65/50.56 tff(20145,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB153) | (~v145(constB153)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB153) | (~v145(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20146,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB153) | (~v145(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20147,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB153) | (~v145(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20146, 20145])).
% 78.65/50.56 tff(20148,plain,
% 78.65/50.56 (v226(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20147, 10961, 20144])).
% 78.65/50.56 tff(20149,plain,
% 78.65/50.56 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex1) | (~v144(VarCurr))) <=> (v88(VarCurr, bitIndex1) | (~v144(VarCurr))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20150,plain,
% 78.65/50.56 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20149])).
% 78.65/50.56 tff(20151,plain,
% 78.65/50.56 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20152,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_3')).
% 78.65/50.56 tff(20153,plain,
% 78.65/50.56 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20152, 20151])).
% 78.65/50.56 tff(20154,plain,(
% 78.65/50.56 ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 78.65/50.56 inference(skolemize,[status(sab)],[20153])).
% 78.65/50.56 tff(20155,plain,
% 78.65/50.56 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20154, 20150])).
% 78.65/50.56 tff(20156,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB153)) | v88(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB153)) | v88(constB153, bitIndex1))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20157,plain,
% 78.65/50.56 ((v88(constB153, bitIndex1) | (~v144(constB153))) <=> ((~v144(constB153)) | v88(constB153, bitIndex1))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20158,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB153, bitIndex1) | (~v144(constB153)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB153)) | v88(constB153, bitIndex1)))),
% 78.65/50.56 inference(monotonicity,[status(thm)],[20157])).
% 78.65/50.56 tff(20159,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB153, bitIndex1) | (~v144(constB153)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB153)) | v88(constB153, bitIndex1))),
% 78.65/50.56 inference(transitivity,[status(thm)],[20158, 20156])).
% 78.65/50.56 tff(20160,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB153, bitIndex1) | (~v144(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20161,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB153)) | v88(constB153, bitIndex1)),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 78.65/50.56 tff(20162,plain,
% 78.65/50.56 (~v144(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20161, 20155, 20128])).
% 78.65/50.56 tff(20163,plain,
% 78.65/50.56 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20164,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20163])).
% 78.65/50.56 tff(20165,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20166,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_3')).
% 78.65/50.56 tff(20167,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20166, 20165])).
% 78.65/50.56 tff(20168,plain,(
% 78.65/50.56 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 78.65/50.56 inference(skolemize,[status(sab)],[20167])).
% 78.65/50.56 tff(20169,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20168, 20164])).
% 78.65/50.56 tff(20170,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v143(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v143(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20171,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v143(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20172,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v143(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 78.65/50.56 tff(20173,plain,
% 78.65/50.56 (~v143(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20172, 20169, 20132])).
% 78.65/50.56 tff(20174,plain,
% 78.65/50.56 (^[VarCurr: $i] : refl((v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20175,plain,
% 78.65/50.56 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20174])).
% 78.65/50.56 tff(20176,plain,
% 78.65/50.56 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20177,plain,
% 78.65/50.56 (^[VarCurr: $i] : trans(monotonicity(rewrite((v144(VarCurr) | v143(VarCurr)) <=> (v143(VarCurr) | v144(VarCurr))), (((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> ((v143(VarCurr) | v144(VarCurr)) | (~v142(VarCurr))))), rewrite(((v143(VarCurr) | v144(VarCurr)) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))), (((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20178,plain,
% 78.65/50.56 (![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20177])).
% 78.65/50.56 tff(20179,axiom,(![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_3')).
% 78.65/50.56 tff(20180,plain,
% 78.65/50.56 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 78.65/50.56 tff(20181,plain,
% 78.65/50.56 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20180, 20176])).
% 78.65/50.56 tff(20182,plain,(
% 78.65/50.56 ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(skolemize,[status(sab)],[20181])).
% 78.65/50.56 tff(20183,plain,
% 78.65/50.56 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20182, 20175])).
% 78.65/50.56 tff(20184,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB153) | v144(constB153) | (~v142(constB153)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB153) | v144(constB153) | (~v142(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20185,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB153) | v144(constB153) | (~v142(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20186,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB153) | v144(constB153) | (~v142(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20185, 20184])).
% 78.65/50.56 tff(20187,plain,
% 78.65/50.56 (v144(constB153) | (~v142(constB153))),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20186, 20183, 20173])).
% 78.65/50.56 tff(20188,plain,
% 78.65/50.56 (~v142(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20187, 20162])).
% 78.65/50.56 tff(20189,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v139(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v139(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20190,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v139(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20191,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v139(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20190, 20189])).
% 78.65/50.56 tff(20192,plain,
% 78.65/50.56 (~v139(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20191, 10882, 20132])).
% 78.65/50.56 tff(20193,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v140(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v140(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20194,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v140(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20195,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v140(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 78.65/50.56 tff(20196,plain,
% 78.65/50.56 (~v140(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20195, 10893, 20132])).
% 78.65/50.56 tff(20197,plain,
% 78.65/50.56 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20198,plain,
% 78.65/50.56 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20197])).
% 78.65/50.56 tff(20199,plain,
% 78.65/50.56 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20200,plain,
% 78.65/50.56 (^[VarCurr: $i] : trans(monotonicity(rewrite((v140(VarCurr) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr))), (((v140(VarCurr) | v139(VarCurr)) | (~v229(VarCurr))) <=> ((v140(VarCurr) | v139(VarCurr)) | (~v229(VarCurr))))), rewrite(((v140(VarCurr) | v139(VarCurr)) | (~v229(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))), (((v140(VarCurr) | v139(VarCurr)) | (~v229(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20201,plain,
% 78.65/50.56 (![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20200])).
% 78.65/50.56 tff(20202,axiom,(![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v229(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_3')).
% 78.65/50.56 tff(20203,plain,
% 78.65/50.56 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 78.65/50.56 tff(20204,plain,
% 78.65/50.56 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20203, 20199])).
% 78.65/50.56 tff(20205,plain,(
% 78.65/50.56 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(skolemize,[status(sab)],[20204])).
% 78.65/50.56 tff(20206,plain,
% 78.65/50.56 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20205, 20198])).
% 78.65/50.56 tff(20207,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | ((~v229(constB153)) | v140(constB153) | v139(constB153))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (~v229(constB153)) | v140(constB153) | v139(constB153))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20208,plain,
% 78.65/50.56 ((v140(constB153) | v139(constB153) | (~v229(constB153))) <=> ((~v229(constB153)) | v140(constB153) | v139(constB153))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20209,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v229(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | ((~v229(constB153)) | v140(constB153) | v139(constB153)))),
% 78.65/50.56 inference(monotonicity,[status(thm)],[20208])).
% 78.65/50.56 tff(20210,plain,
% 78.65/50.56 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v229(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (~v229(constB153)) | v140(constB153) | v139(constB153))),
% 78.65/50.56 inference(transitivity,[status(thm)],[20209, 20207])).
% 78.65/50.56 tff(20211,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v229(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20212,plain,
% 78.65/50.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (~v229(constB153)) | v140(constB153) | v139(constB153)),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20211, 20210])).
% 78.65/50.56 tff(20213,plain,
% 78.65/50.56 (~v229(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20212, 20206, 20196, 20192])).
% 78.65/50.56 tff(20214,plain,
% 78.65/50.56 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20215,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20214])).
% 78.65/50.56 tff(20216,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20217,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 78.65/50.56 tff(20218,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20217, 20216])).
% 78.65/50.56 tff(20219,plain,(
% 78.65/50.56 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 78.65/50.56 inference(skolemize,[status(sab)],[20218])).
% 78.65/50.56 tff(20220,plain,
% 78.65/50.56 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20219, 20215])).
% 78.65/50.56 tff(20221,plain,
% 78.65/50.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v141(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v141(constB153)))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20222,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v141(constB153)))),
% 78.65/50.56 inference(quant_inst,[status(thm)],[])).
% 78.65/50.56 tff(20223,plain,
% 78.65/50.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v141(constB153))),
% 78.65/50.56 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 78.65/50.56 tff(20224,plain,
% 78.65/50.56 (~v141(constB153)),
% 78.65/50.56 inference(unit_resolution,[status(thm)],[20223, 20220, 20132])).
% 78.65/50.56 tff(20225,plain,
% 78.65/50.56 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)) <=> (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)))),
% 78.65/50.56 inference(bind,[status(th)],[])).
% 78.65/50.56 tff(20226,plain,
% 78.65/50.56 (![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.56 inference(quant_intro,[status(thm)],[20225])).
% 78.65/50.56 tff(20227,plain,
% 78.65/50.56 (![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.56 inference(rewrite,[status(thm)],[])).
% 78.65/50.56 tff(20228,plain,
% 78.65/50.57 (^[VarCurr: $i] : trans(monotonicity(rewrite((v229(VarCurr) | v141(VarCurr)) <=> (v141(VarCurr) | v229(VarCurr))), (((v229(VarCurr) | v141(VarCurr)) | (~v228(VarCurr))) <=> ((v141(VarCurr) | v229(VarCurr)) | (~v228(VarCurr))))), rewrite(((v141(VarCurr) | v229(VarCurr)) | (~v228(VarCurr))) <=> (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))), (((v229(VarCurr) | v141(VarCurr)) | (~v228(VarCurr))) <=> (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))))),
% 78.65/50.57 inference(bind,[status(th)],[])).
% 78.65/50.57 tff(20229,plain,
% 78.65/50.57 (![VarCurr: $i] : ((v229(VarCurr) | v141(VarCurr)) | (~v228(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.57 inference(quant_intro,[status(thm)],[20228])).
% 78.65/50.57 tff(20230,axiom,(![VarCurr: $i] : ((v229(VarCurr) | v141(VarCurr)) | (~v228(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_60_1_1_3')).
% 78.65/50.57 tff(20231,plain,
% 78.65/50.57 (![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 78.65/50.57 tff(20232,plain,
% 78.65/50.57 (![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20231, 20227])).
% 78.65/50.57 tff(20233,plain,(
% 78.65/50.57 ![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.57 inference(skolemize,[status(sab)],[20232])).
% 78.65/50.57 tff(20234,plain,
% 78.65/50.57 (![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20233, 20226])).
% 78.65/50.57 tff(20235,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | ((~v228(constB153)) | v141(constB153) | v229(constB153))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (~v228(constB153)) | v141(constB153) | v229(constB153))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20236,plain,
% 78.65/50.57 ((v141(constB153) | (~v228(constB153)) | v229(constB153)) <=> ((~v228(constB153)) | v141(constB153) | v229(constB153))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20237,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB153) | (~v228(constB153)) | v229(constB153))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | ((~v228(constB153)) | v141(constB153) | v229(constB153)))),
% 78.65/50.57 inference(monotonicity,[status(thm)],[20236])).
% 78.65/50.57 tff(20238,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB153) | (~v228(constB153)) | v229(constB153))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (~v228(constB153)) | v141(constB153) | v229(constB153))),
% 78.65/50.57 inference(transitivity,[status(thm)],[20237, 20235])).
% 78.65/50.57 tff(20239,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB153) | (~v228(constB153)) | v229(constB153))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20240,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (~v228(constB153)) | v141(constB153) | v229(constB153)),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 78.65/50.57 tff(20241,plain,
% 78.65/50.57 (~v228(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20240, 20234, 20224, 20213])).
% 78.65/50.57 tff(20242,plain,
% 78.65/50.57 (^[VarCurr: $i] : refl((v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr))) <=> (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr))))),
% 78.65/50.57 inference(bind,[status(th)],[])).
% 78.65/50.57 tff(20243,plain,
% 78.65/50.57 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(quant_intro,[status(thm)],[20242])).
% 78.65/50.57 tff(20244,plain,
% 78.65/50.57 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20245,plain,
% 78.65/50.57 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v148(VarCurr)) | v228(VarCurr)) <=> (v228(VarCurr) | (~v148(VarCurr)))), ((((~v148(VarCurr)) | v228(VarCurr)) | v142(VarCurr)) <=> ((v228(VarCurr) | (~v148(VarCurr))) | v142(VarCurr)))), rewrite(((v228(VarCurr) | (~v148(VarCurr))) | v142(VarCurr)) <=> (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))), ((((~v148(VarCurr)) | v228(VarCurr)) | v142(VarCurr)) <=> (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))))),
% 78.65/50.57 inference(bind,[status(th)],[])).
% 78.65/50.57 tff(20246,plain,
% 78.65/50.57 (![VarCurr: $i] : (((~v148(VarCurr)) | v228(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(quant_intro,[status(thm)],[20245])).
% 78.65/50.57 tff(20247,axiom,(![VarCurr: $i] : (((~v148(VarCurr)) | v228(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1_1')).
% 78.65/50.57 tff(20248,plain,
% 78.65/50.57 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 78.65/50.57 tff(20249,plain,
% 78.65/50.57 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20248, 20244])).
% 78.65/50.57 tff(20250,plain,(
% 78.65/50.57 ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(skolemize,[status(sab)],[20249])).
% 78.65/50.57 tff(20251,plain,
% 78.65/50.57 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20250, 20243])).
% 78.65/50.57 tff(20252,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | (v142(constB153) | v228(constB153) | (~v148(constB153)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | v142(constB153) | v228(constB153) | (~v148(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20253,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | (v142(constB153) | v228(constB153) | (~v148(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20254,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | v142(constB153) | v228(constB153) | (~v148(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20253, 20252])).
% 78.65/50.57 tff(20255,plain,
% 78.65/50.57 (v142(constB153) | (~v148(constB153))),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20254, 20251, 20241])).
% 78.65/50.57 tff(20256,plain,
% 78.65/50.57 (~v148(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20255, 20188])).
% 78.65/50.57 tff(20257,plain,
% 78.65/50.57 (^[VarNext: $i] : refl((v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext))) <=> (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext))))),
% 78.65/50.57 inference(bind,[status(th)],[])).
% 78.65/50.57 tff(20258,plain,
% 78.65/50.57 (![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext))) <=> ![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(quant_intro,[status(thm)],[20257])).
% 78.65/50.57 tff(20259,plain,
% 78.65/50.57 (![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext))) <=> ![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20260,plain,
% 78.65/50.57 (^[VarNext: $i] : rewrite(((v148(VarNext) | (~v86(VarNext))) | (~v226(VarNext))) <=> (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext))))),
% 78.65/50.57 inference(bind,[status(th)],[])).
% 78.65/50.57 tff(20261,plain,
% 78.65/50.57 (![VarNext: $i] : ((v148(VarNext) | (~v86(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(quant_intro,[status(thm)],[20260])).
% 78.65/50.57 tff(20262,axiom,(![VarNext: $i] : ((v148(VarNext) | (~v86(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_2')).
% 78.65/50.57 tff(20263,plain,
% 78.65/50.57 (![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 78.65/50.57 tff(20264,plain,
% 78.65/50.57 (![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20263, 20259])).
% 78.65/50.57 tff(20265,plain,(
% 78.65/50.57 ![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(skolemize,[status(sab)],[20264])).
% 78.65/50.57 tff(20266,plain,
% 78.65/50.57 (![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20265, 20258])).
% 78.65/50.57 tff(20267,plain,
% 78.65/50.57 (((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB153) | (~v226(constB153)) | (~v86(constB153)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB153) | (~v226(constB153)) | (~v86(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20268,plain,
% 78.65/50.57 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB153) | (~v226(constB153)) | (~v86(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20269,plain,
% 78.65/50.57 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB153) | (~v226(constB153)) | (~v86(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 78.65/50.57 tff(20270,plain,
% 78.65/50.57 ((~v226(constB153)) | (~v86(constB153))),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20269, 20266, 20256])).
% 78.65/50.57 tff(20271,plain,
% 78.65/50.57 (~v86(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20270, 20148])).
% 78.65/50.57 tff(20272,plain,
% 78.65/50.57 (^[VarCurr: $i] : refl((v86(VarCurr) | (~v217(VarCurr))) <=> (v86(VarCurr) | (~v217(VarCurr))))),
% 78.65/50.57 inference(bind,[status(th)],[])).
% 78.65/50.57 tff(20273,plain,
% 78.65/50.57 (![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))),
% 78.65/50.57 inference(quant_intro,[status(thm)],[20272])).
% 78.65/50.57 tff(20274,plain,
% 78.65/50.57 (![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20275,axiom,(![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_55_1_1_3')).
% 78.65/50.57 tff(20276,plain,
% 78.65/50.57 (![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20275, 20274])).
% 78.65/50.57 tff(20277,plain,(
% 78.65/50.57 ![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))),
% 78.65/50.57 inference(skolemize,[status(sab)],[20276])).
% 78.65/50.57 tff(20278,plain,
% 78.65/50.57 (![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20277, 20273])).
% 78.65/50.57 tff(20279,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB153) | (~v217(constB153)))) <=> ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB153) | (~v217(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20280,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB153) | (~v217(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20281,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB153) | (~v217(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 78.65/50.57 tff(20282,plain,
% 78.65/50.57 (~v217(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20281, 20278, 20271])).
% 78.65/50.57 tff(20283,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB153) | (~v216(constB153)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB153) | (~v216(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20284,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB153) | (~v216(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20285,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB153) | (~v216(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20284, 20283])).
% 78.65/50.57 tff(20286,plain,
% 78.65/50.57 (~v216(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20285, 11256, 20282])).
% 78.65/50.57 tff(20287,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB153) | (~v215(constB153)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB153) | (~v215(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20288,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB153) | (~v215(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20289,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB153) | (~v215(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20288, 20287])).
% 78.65/50.57 tff(20290,plain,
% 78.65/50.57 (~v215(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20289, 11267, 20286])).
% 78.65/50.57 tff(20291,assumption,(v18(constB154)), introduced(assumption)).
% 78.65/50.57 tff(20292,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB154))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20293,plain,
% 78.65/50.57 ($false),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20292, 70, 20291])).
% 78.65/50.57 tff(20294,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 78.65/50.57 tff(20295,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20296,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20297,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 78.65/50.57 tff(20298,plain,
% 78.65/50.57 (v22(constB154)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20297, 83, 18809])).
% 78.65/50.57 tff(20299,plain,
% 78.65/50.57 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB154)) | (~v22(constB154)) | v18(constB154))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB154)) | (~v22(constB154)) | v18(constB154))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20300,plain,
% 78.65/50.57 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB154)) | (~v22(constB154)) | v18(constB154))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20301,plain,
% 78.65/50.57 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB154)) | (~v22(constB154)) | v18(constB154)),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20300, 20299])).
% 78.65/50.57 tff(20302,plain,
% 78.65/50.57 ((~v19(constB154)) | v18(constB154)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20301, 97, 20298])).
% 78.65/50.57 tff(20303,plain,
% 78.65/50.57 (~v19(constB154)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20302, 20294])).
% 78.65/50.57 tff(20304,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20305,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20306,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 78.65/50.57 tff(20307,plain,
% 78.65/50.57 (v13(constB154)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20306, 112, 20303])).
% 78.65/50.57 tff(20308,plain,
% 78.65/50.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20309,plain,
% 78.65/50.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20310,plain,
% 78.65/50.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153)),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20309, 20308])).
% 78.65/50.57 tff(20311,plain,
% 78.65/50.57 ((~v13(constB154)) | v9(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20310, 129, 18789])).
% 78.65/50.57 tff(20312,plain,
% 78.65/50.57 (v9(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20311, 20307])).
% 78.65/50.57 tff(20313,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v184(constB153))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB153) | (~v9(constB153)) | v184(constB153))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20314,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v184(constB153))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20315,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB153) | (~v9(constB153)) | v184(constB153)),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 78.65/50.57 tff(20316,plain,
% 78.65/50.57 ((~v9(constB153)) | v184(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20315, 11036, 18686])).
% 78.65/50.57 tff(20317,plain,
% 78.65/50.57 (v184(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20316, 20312])).
% 78.65/50.57 tff(20318,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB153) | (~v184(constB153)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB153) | (~v184(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20319,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB153) | (~v184(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20320,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB153) | (~v184(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20319, 20318])).
% 78.65/50.57 tff(20321,plain,
% 78.65/50.57 (v183(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20320, 11048, 20317])).
% 78.65/50.57 tff(20322,plain,
% 78.65/50.57 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB153)) | (~v214(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB153)) | (~v214(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20323,plain,
% 78.65/50.57 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB153)) | (~v214(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20324,plain,
% 78.65/50.57 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB153)) | (~v214(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20323, 20322])).
% 78.65/50.57 tff(20325,plain,
% 78.65/50.57 (~v214(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20324, 11189, 20321])).
% 78.65/50.57 tff(20326,plain,
% 78.65/50.57 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB153) | v215(constB153) | (~v211(constB153)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB153) | v215(constB153) | (~v211(constB153)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20327,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB153) | v215(constB153) | (~v211(constB153)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20328,plain,
% 78.65/50.57 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB153) | v215(constB153) | (~v211(constB153))),
% 78.65/50.57 inference(modus_ponens,[status(thm)],[20327, 20326])).
% 78.65/50.57 tff(20329,plain,
% 78.65/50.57 (v215(constB153) | (~v211(constB153))),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20328, 11203, 20325])).
% 78.65/50.57 tff(20330,plain,
% 78.65/50.57 (~v211(constB153)),
% 78.65/50.57 inference(unit_resolution,[status(thm)],[20329, 20290])).
% 78.65/50.57 tff(20331,plain,
% 78.65/50.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB153, constB154)) | v211(constB153) | (~v213(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB153, constB154)) | v211(constB153) | (~v213(constB154)))),
% 78.65/50.57 inference(rewrite,[status(thm)],[])).
% 78.65/50.57 tff(20332,plain,
% 78.65/50.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB153, constB154)) | v211(constB153) | (~v213(constB154)))),
% 78.65/50.57 inference(quant_inst,[status(thm)],[])).
% 78.65/50.57 tff(20333,plain,
% 78.65/50.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB153, constB154)) | v211(constB153) | (~v213(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20332, 20331])).
% 78.65/50.58 tff(20334,plain,
% 78.65/50.58 (v211(constB153) | (~v213(constB154))),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20333, 11218, 18789])).
% 78.65/50.58 tff(20335,plain,
% 78.65/50.58 (~v213(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20334, 20330])).
% 78.65/50.58 tff(20336,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB154) | (~v214(constB154)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB154) | (~v214(constB154)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20337,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB154) | (~v214(constB154)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20338,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB154) | (~v214(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20337, 20336])).
% 78.65/50.58 tff(20339,plain,
% 78.65/50.58 (~v214(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20338, 11230, 20335])).
% 78.65/50.58 tff(20340,plain,
% 78.65/50.58 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB154)) | (~v184(constB154)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB154)) | (~v184(constB154)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20341,plain,
% 78.65/50.58 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB154)) | (~v184(constB154)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20342,plain,
% 78.65/50.58 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB154)) | (~v184(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 78.65/50.58 tff(20343,plain,
% 78.65/50.58 (~v184(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20342, 11111, 18809])).
% 78.65/50.58 tff(20344,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB154) | (~v217(constB154)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB154) | (~v217(constB154)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20345,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB154) | (~v217(constB154)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20346,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB154) | (~v217(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20345, 20344])).
% 78.65/50.58 tff(20347,plain,
% 78.65/50.58 (~v217(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20346, 11245, 20343])).
% 78.65/50.58 tff(20348,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB154) | (~v216(constB154)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB154) | (~v216(constB154)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20349,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB154) | (~v216(constB154)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20350,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB154) | (~v216(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 78.65/50.58 tff(20351,plain,
% 78.65/50.58 (~v216(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20350, 11256, 20347])).
% 78.65/50.58 tff(20352,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB154) | (~v215(constB154)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB154) | (~v215(constB154)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20353,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB154) | (~v215(constB154)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20354,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB154) | (~v215(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20353, 20352])).
% 78.65/50.58 tff(20355,plain,
% 78.65/50.58 (~v215(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20354, 11267, 20351])).
% 78.65/50.58 tff(20356,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB154) | v215(constB154) | (~v211(constB154)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB154) | v215(constB154) | (~v211(constB154)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20357,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB154) | v215(constB154) | (~v211(constB154)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20358,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB154) | v215(constB154) | (~v211(constB154))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20357, 20356])).
% 78.65/50.58 tff(20359,plain,
% 78.65/50.58 (v214(constB154) | (~v211(constB154))),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20358, 11203, 20355])).
% 78.65/50.58 tff(20360,plain,
% 78.65/50.58 (~v211(constB154)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20359, 20339])).
% 78.65/50.58 tff(20361,plain,
% 78.65/50.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB154, constB155)) | v211(constB154) | (~v213(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB154, constB155)) | v211(constB154) | (~v213(constB155)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20362,plain,
% 78.65/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB154, constB155)) | v211(constB154) | (~v213(constB155)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20363,plain,
% 78.65/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB154, constB155)) | v211(constB154) | (~v213(constB155))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 78.65/50.58 tff(20364,plain,
% 78.65/50.58 (v211(constB154) | (~v213(constB155))),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20363, 11218, 18851])).
% 78.65/50.58 tff(20365,plain,
% 78.65/50.58 (~v213(constB155)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20364, 20360])).
% 78.65/50.58 tff(20366,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB155) | (~v245(constB155)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB155) | (~v245(constB155)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20367,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB155) | (~v245(constB155)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20368,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB155) | (~v245(constB155))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20367, 20366])).
% 78.65/50.58 tff(20369,plain,
% 78.65/50.58 (~v245(constB155)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20368, 11683, 20365])).
% 78.65/50.58 tff(20370,plain,
% 78.65/50.58 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB155)) | (~v244(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB155)) | (~v244(constB155)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20371,plain,
% 78.65/50.58 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB155)) | (~v244(constB155)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20372,plain,
% 78.65/50.58 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB155)) | (~v244(constB155))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20371, 20370])).
% 78.65/50.58 tff(20373,plain,
% 78.65/50.58 (~v244(constB155)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20372, 11694, 19977])).
% 78.65/50.58 tff(20374,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB155) | v245(constB155) | (~v241(constB155)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB155) | v245(constB155) | (~v241(constB155)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20375,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB155) | v245(constB155) | (~v241(constB155)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20376,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB155) | v245(constB155) | (~v241(constB155))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20375, 20374])).
% 78.65/50.58 tff(20377,plain,
% 78.65/50.58 (v245(constB155) | (~v241(constB155))),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20376, 11708, 20373])).
% 78.65/50.58 tff(20378,plain,
% 78.65/50.58 (~v241(constB155)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20377, 20369])).
% 78.65/50.58 tff(20379,plain,
% 78.65/50.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB155, constB156)) | v241(constB155) | (~v243(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB155, constB156)) | v241(constB155) | (~v243(constB156)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20380,plain,
% 78.65/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB155, constB156)) | v241(constB155) | (~v243(constB156)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20381,plain,
% 78.65/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB155, constB156)) | v241(constB155) | (~v243(constB156))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20380, 20379])).
% 78.65/50.58 tff(20382,plain,
% 78.65/50.58 (v241(constB155) | (~v243(constB156))),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20381, 11723, 18968])).
% 78.65/50.58 tff(20383,plain,
% 78.65/50.58 (~v243(constB156)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20382, 20378])).
% 78.65/50.58 tff(20384,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB156) | (~v244(constB156)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB156) | (~v244(constB156)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20385,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB156) | (~v244(constB156)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20386,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB156) | (~v244(constB156))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20385, 20384])).
% 78.65/50.58 tff(20387,plain,
% 78.65/50.58 (~v244(constB156)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20386, 11735, 20383])).
% 78.65/50.58 tff(20388,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB156) | (~v247(constB156)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB156) | (~v247(constB156)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20389,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB156) | (~v247(constB156)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20390,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB156) | (~v247(constB156))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20389, 20388])).
% 78.65/50.58 tff(20391,plain,
% 78.65/50.58 (~v247(constB156)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20390, 11746, 20002])).
% 78.65/50.58 tff(20392,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB156) | (~v246(constB156)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB156) | (~v246(constB156)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20393,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB156) | (~v246(constB156)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20394,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB156) | (~v246(constB156))),
% 78.65/50.58 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 78.65/50.58 tff(20395,plain,
% 78.65/50.58 (~v246(constB156)),
% 78.65/50.58 inference(unit_resolution,[status(thm)],[20394, 11757, 20391])).
% 78.65/50.58 tff(20396,plain,
% 78.65/50.58 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB156) | (~v245(constB156)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB156) | (~v245(constB156)))),
% 78.65/50.58 inference(rewrite,[status(thm)],[])).
% 78.65/50.58 tff(20397,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB156) | (~v245(constB156)))),
% 78.65/50.58 inference(quant_inst,[status(thm)],[])).
% 78.65/50.58 tff(20398,plain,
% 78.65/50.58 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB156) | (~v245(constB156))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 78.75/50.58 tff(20399,plain,
% 78.75/50.58 (~v245(constB156)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20398, 11768, 20395])).
% 78.75/50.58 tff(20400,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB156) | v245(constB156) | (~v241(constB156)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB156) | v245(constB156) | (~v241(constB156)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20401,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB156) | v245(constB156) | (~v241(constB156)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20402,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB156) | v245(constB156) | (~v241(constB156))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 78.75/50.58 tff(20403,plain,
% 78.75/50.58 (v244(constB156) | (~v241(constB156))),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20402, 11708, 20399])).
% 78.75/50.58 tff(20404,plain,
% 78.75/50.58 (~v241(constB156)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20403, 20387])).
% 78.75/50.58 tff(20405,plain,
% 78.75/50.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB156, constB157)) | v241(constB156) | (~v243(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB156, constB157)) | v241(constB156) | (~v243(constB157)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20406,plain,
% 78.75/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB156, constB157)) | v241(constB156) | (~v243(constB157)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20407,plain,
% 78.75/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB156, constB157)) | v241(constB156) | (~v243(constB157))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 78.75/50.58 tff(20408,plain,
% 78.75/50.58 (v241(constB156) | (~v243(constB157))),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20407, 11723, 19030])).
% 78.75/50.58 tff(20409,plain,
% 78.75/50.58 (~v243(constB157)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20408, 20404])).
% 78.75/50.58 tff(20410,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB157) | (~v260(constB157)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB157) | (~v260(constB157)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20411,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB157) | (~v260(constB157)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20412,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB157) | (~v260(constB157))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 78.75/50.58 tff(20413,plain,
% 78.75/50.58 (~v260(constB157)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20412, 12130, 20409])).
% 78.75/50.58 tff(20414,plain,
% 78.75/50.58 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB157)) | (~v259(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB157)) | (~v259(constB157)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20415,plain,
% 78.75/50.58 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB157)) | (~v259(constB157)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20416,plain,
% 78.75/50.58 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB157)) | (~v259(constB157))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 78.75/50.58 tff(20417,plain,
% 78.75/50.58 (~v259(constB157)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20416, 12141, 19761])).
% 78.75/50.58 tff(20418,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB157) | v260(constB157) | (~v256(constB157)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB157) | v260(constB157) | (~v256(constB157)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20419,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB157) | v260(constB157) | (~v256(constB157)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20420,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB157) | v260(constB157) | (~v256(constB157))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 78.75/50.58 tff(20421,plain,
% 78.75/50.58 (v260(constB157) | (~v256(constB157))),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20420, 12155, 20417])).
% 78.75/50.58 tff(20422,plain,
% 78.75/50.58 (~v256(constB157)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20421, 20413])).
% 78.75/50.58 tff(20423,plain,
% 78.75/50.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB157, constB158)) | v256(constB157) | (~v258(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB157, constB158)) | v256(constB157) | (~v258(constB158)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20424,plain,
% 78.75/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB157, constB158)) | v256(constB157) | (~v258(constB158)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20425,plain,
% 78.75/50.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB157, constB158)) | v256(constB157) | (~v258(constB158))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 78.75/50.58 tff(20426,plain,
% 78.75/50.58 (v256(constB157) | (~v258(constB158))),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20425, 12170, 19143])).
% 78.75/50.58 tff(20427,plain,
% 78.75/50.58 (~v258(constB158)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20426, 20422])).
% 78.75/50.58 tff(20428,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB158) | (~v259(constB158)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB158) | (~v259(constB158)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20429,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB158) | (~v259(constB158)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20430,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB158) | (~v259(constB158))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20429, 20428])).
% 78.75/50.58 tff(20431,plain,
% 78.75/50.58 (~v259(constB158)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20430, 12182, 20427])).
% 78.75/50.58 tff(20432,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB158) | (~v262(constB158)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB158) | (~v262(constB158)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20433,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB158) | (~v262(constB158)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20434,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB158) | (~v262(constB158))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 78.75/50.58 tff(20435,plain,
% 78.75/50.58 (~v262(constB158)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20434, 12193, 19786])).
% 78.75/50.58 tff(20436,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB158) | (~v261(constB158)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB158) | (~v261(constB158)))),
% 78.75/50.58 inference(rewrite,[status(thm)],[])).
% 78.75/50.58 tff(20437,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB158) | (~v261(constB158)))),
% 78.75/50.58 inference(quant_inst,[status(thm)],[])).
% 78.75/50.58 tff(20438,plain,
% 78.75/50.58 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB158) | (~v261(constB158))),
% 78.75/50.58 inference(modus_ponens,[status(thm)],[20437, 20436])).
% 78.75/50.58 tff(20439,plain,
% 78.75/50.58 (~v261(constB158)),
% 78.75/50.58 inference(unit_resolution,[status(thm)],[20438, 12204, 20435])).
% 78.75/50.58 tff(20440,plain,
% 78.75/50.58 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB158) | (~v260(constB158)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB158) | (~v260(constB158)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20441,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB158) | (~v260(constB158)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20442,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB158) | (~v260(constB158))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20441, 20440])).
% 78.75/50.59 tff(20443,plain,
% 78.75/50.59 (~v260(constB158)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20442, 12215, 20439])).
% 78.75/50.59 tff(20444,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB158) | v260(constB158) | (~v256(constB158)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB158) | v260(constB158) | (~v256(constB158)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20445,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB158) | v260(constB158) | (~v256(constB158)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20446,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB158) | v260(constB158) | (~v256(constB158))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20445, 20444])).
% 78.75/50.59 tff(20447,plain,
% 78.75/50.59 (v259(constB158) | (~v256(constB158))),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20446, 12155, 20443])).
% 78.75/50.59 tff(20448,plain,
% 78.75/50.59 (~v256(constB158)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20447, 20431])).
% 78.75/50.59 tff(20449,plain,
% 78.75/50.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB158, constB159)) | v256(constB158) | (~v258(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB158, constB159)) | v256(constB158) | (~v258(constB159)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20450,plain,
% 78.75/50.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB158, constB159)) | v256(constB158) | (~v258(constB159)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20451,plain,
% 78.75/50.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB158, constB159)) | v256(constB158) | (~v258(constB159))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20450, 20449])).
% 78.75/50.59 tff(20452,plain,
% 78.75/50.59 (v256(constB158) | (~v258(constB159))),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20451, 12170, 19235])).
% 78.75/50.59 tff(20453,plain,
% 78.75/50.59 (~v258(constB159)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20452, 20448])).
% 78.75/50.59 tff(20454,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB159) | (~v271(constB159)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB159) | (~v271(constB159)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20455,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB159) | (~v271(constB159)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20456,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB159) | (~v271(constB159))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 78.75/50.59 tff(20457,plain,
% 78.75/50.59 (~v271(constB159)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20456, 12236, 20453])).
% 78.75/50.59 tff(20458,plain,
% 78.75/50.59 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB159)) | (~v270(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB159)) | (~v270(constB159)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20459,plain,
% 78.75/50.59 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB159)) | (~v270(constB159)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20460,plain,
% 78.75/50.59 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB159)) | (~v270(constB159))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 78.75/50.59 tff(20461,plain,
% 78.75/50.59 (~v270(constB159)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20460, 12247, 19839])).
% 78.75/50.59 tff(20462,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB159)) | v270(constB159) | v271(constB159))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB159)) | v270(constB159) | v271(constB159))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20463,plain,
% 78.75/50.59 ((v271(constB159) | v270(constB159) | (~v267(constB159))) <=> ((~v267(constB159)) | v270(constB159) | v271(constB159))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20464,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB159) | v270(constB159) | (~v267(constB159)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB159)) | v270(constB159) | v271(constB159)))),
% 78.75/50.59 inference(monotonicity,[status(thm)],[20463])).
% 78.75/50.59 tff(20465,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB159) | v270(constB159) | (~v267(constB159)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB159)) | v270(constB159) | v271(constB159))),
% 78.75/50.59 inference(transitivity,[status(thm)],[20464, 20462])).
% 78.75/50.59 tff(20466,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB159) | v270(constB159) | (~v267(constB159)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20467,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB159)) | v270(constB159) | v271(constB159)),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 78.75/50.59 tff(20468,plain,
% 78.75/50.59 ((~v267(constB159)) | v271(constB159)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20467, 12261, 20461])).
% 78.75/50.59 tff(20469,plain,
% 78.75/50.59 (~v267(constB159)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20468, 20457])).
% 78.75/50.59 tff(20470,plain,
% 78.75/50.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB159, constB160)) | v267(constB159) | (~v269(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB159, constB160)) | v267(constB159) | (~v269(constB160)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20471,plain,
% 78.75/50.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB159, constB160)) | v267(constB159) | (~v269(constB160)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20472,plain,
% 78.75/50.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB159, constB160)) | v267(constB159) | (~v269(constB160))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20471, 20470])).
% 78.75/50.59 tff(20473,plain,
% 78.75/50.59 (v267(constB159) | (~v269(constB160))),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20472, 12279, 19374])).
% 78.75/50.59 tff(20474,plain,
% 78.75/50.59 (~v269(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20473, 20469])).
% 78.75/50.59 tff(20475,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB160) | (~v270(constB160)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB160) | (~v270(constB160)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20476,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB160) | (~v270(constB160)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20477,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB160) | (~v270(constB160))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20476, 20475])).
% 78.75/50.59 tff(20478,plain,
% 78.75/50.59 (~v270(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20477, 12291, 20474])).
% 78.75/50.59 tff(20479,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB160) | (~v262(constB160)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB160) | (~v262(constB160)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20480,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB160) | (~v262(constB160)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20481,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB160) | (~v262(constB160))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 78.75/50.59 tff(20482,plain,
% 78.75/50.59 (~v262(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20481, 12193, 19861])).
% 78.75/50.59 tff(20483,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB160) | (~v261(constB160)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB160) | (~v261(constB160)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20484,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB160) | (~v261(constB160)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20485,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB160) | (~v261(constB160))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 78.75/50.59 tff(20486,plain,
% 78.75/50.59 (~v261(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20485, 12204, 20482])).
% 78.75/50.59 tff(20487,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB160) | (~v271(constB160)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB160) | (~v271(constB160)))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20488,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB160) | (~v271(constB160)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20489,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB160) | (~v271(constB160))),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 78.75/50.59 tff(20490,plain,
% 78.75/50.59 (~v271(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20489, 12310, 20486])).
% 78.75/50.59 tff(20491,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB160)) | v271(constB160) | v270(constB160))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB160)) | v271(constB160) | v270(constB160))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20492,plain,
% 78.75/50.59 ((v271(constB160) | v270(constB160) | (~v267(constB160))) <=> ((~v267(constB160)) | v271(constB160) | v270(constB160))),
% 78.75/50.59 inference(rewrite,[status(thm)],[])).
% 78.75/50.59 tff(20493,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB160) | v270(constB160) | (~v267(constB160)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB160)) | v271(constB160) | v270(constB160)))),
% 78.75/50.59 inference(monotonicity,[status(thm)],[20492])).
% 78.75/50.59 tff(20494,plain,
% 78.75/50.59 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB160) | v270(constB160) | (~v267(constB160)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB160)) | v271(constB160) | v270(constB160))),
% 78.75/50.59 inference(transitivity,[status(thm)],[20493, 20491])).
% 78.75/50.59 tff(20495,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB160) | v270(constB160) | (~v267(constB160)))),
% 78.75/50.59 inference(quant_inst,[status(thm)],[])).
% 78.75/50.59 tff(20496,plain,
% 78.75/50.59 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB160)) | v271(constB160) | v270(constB160)),
% 78.75/50.59 inference(modus_ponens,[status(thm)],[20495, 20494])).
% 78.75/50.59 tff(20497,plain,
% 78.75/50.59 ((~v267(constB160)) | v270(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20496, 12261, 20490])).
% 78.75/50.59 tff(20498,plain,
% 78.75/50.59 (~v267(constB160)),
% 78.75/50.59 inference(unit_resolution,[status(thm)],[20497, 20478])).
% 78.75/50.59 tff(20499,plain,
% 78.75/50.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB160, constB161)) | v267(constB160) | (~v269(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB160, constB161)) | v267(constB160) | (~v269(constB161)))),
% 78.76/50.59 inference(rewrite,[status(thm)],[])).
% 78.76/50.59 tff(20500,plain,
% 78.76/50.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB160, constB161)) | v267(constB160) | (~v269(constB161)))),
% 78.76/50.59 inference(quant_inst,[status(thm)],[])).
% 78.76/50.59 tff(20501,plain,
% 78.76/50.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB160, constB161)) | v267(constB160) | (~v269(constB161))),
% 78.76/50.59 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 78.76/50.59 tff(20502,plain,
% 78.76/50.59 (v267(constB160) | (~v269(constB161))),
% 78.76/50.59 inference(unit_resolution,[status(thm)],[20501, 12279, 19436])).
% 78.76/50.59 tff(20503,plain,
% 78.76/50.59 (~v269(constB161)),
% 78.76/50.59 inference(unit_resolution,[status(thm)],[20502, 20498])).
% 78.76/50.59 tff(20504,plain,
% 78.76/50.59 (^[VarCurr: $i] : refl((v269(VarCurr) | (~v307(VarCurr))) <=> (v269(VarCurr) | (~v307(VarCurr))))),
% 78.76/50.59 inference(bind,[status(th)],[])).
% 78.76/50.59 tff(20505,plain,
% 78.76/50.59 (![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))),
% 78.76/50.59 inference(quant_intro,[status(thm)],[20504])).
% 78.76/50.59 tff(20506,plain,
% 78.76/50.59 (![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))),
% 78.76/50.59 inference(rewrite,[status(thm)],[])).
% 78.76/50.59 tff(20507,axiom,(![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_92_1_1_1_2')).
% 78.76/50.59 tff(20508,plain,
% 78.76/50.59 (![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))),
% 78.76/50.59 inference(modus_ponens,[status(thm)],[20507, 20506])).
% 78.76/50.59 tff(20509,plain,(
% 78.76/50.59 ![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))),
% 78.76/50.59 inference(skolemize,[status(sab)],[20508])).
% 78.76/50.59 tff(20510,plain,
% 78.76/50.59 (![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))),
% 78.76/50.59 inference(modus_ponens,[status(thm)],[20509, 20505])).
% 78.76/50.59 tff(20511,plain,
% 78.76/50.59 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB161) | (~v307(constB161)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB161) | (~v307(constB161)))),
% 78.76/50.59 inference(rewrite,[status(thm)],[])).
% 78.76/50.59 tff(20512,plain,
% 78.76/50.59 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB161) | (~v307(constB161)))),
% 78.76/50.59 inference(quant_inst,[status(thm)],[])).
% 78.76/50.59 tff(20513,plain,
% 78.76/50.59 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB161) | (~v307(constB161))),
% 78.76/50.59 inference(modus_ponens,[status(thm)],[20512, 20511])).
% 78.76/50.59 tff(20514,plain,
% 78.76/50.59 (~v307(constB161)),
% 78.76/50.59 inference(unit_resolution,[status(thm)],[20513, 20510, 20503])).
% 78.76/50.59 tff(20515,plain,
% 78.76/50.59 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB161) | (~v290(constB161)) | v289(constB161))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB161) | (~v290(constB161)) | v289(constB161))),
% 78.76/50.59 inference(rewrite,[status(thm)],[])).
% 78.76/50.59 tff(20516,plain,
% 78.76/50.59 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB161) | (~v290(constB161)) | v289(constB161))),
% 78.76/50.59 inference(quant_inst,[status(thm)],[])).
% 78.76/50.59 tff(20517,plain,
% 78.76/50.59 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB161) | (~v290(constB161)) | v289(constB161)),
% 78.76/50.59 inference(modus_ponens,[status(thm)],[20516, 20515])).
% 78.76/50.59 tff(20518,plain,
% 78.76/50.59 ((~v290(constB161)) | v289(constB161)),
% 78.76/50.59 inference(unit_resolution,[status(thm)],[20517, 11821, 20514])).
% 78.76/50.59 tff(20519,plain,
% 78.76/50.59 (v289(constB161)),
% 78.76/50.59 inference(unit_resolution,[status(thm)],[20518, 20120])).
% 78.76/50.59 tff(20520,plain,
% 78.76/50.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 78.76/50.59 inference(rewrite,[status(thm)],[])).
% 78.76/50.59 tff(20521,plain,
% 78.76/50.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20522,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1)),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20521, 20520])).
% 78.76/50.60 tff(20523,plain,
% 78.76/50.60 (v88(constB149, bitIndex1)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20522, 10690, 18207])).
% 78.76/50.60 tff(20524,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20525,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20526,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 78.76/50.60 tff(20527,plain,
% 78.76/50.60 (~v88(constB149, bitIndex0)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20526, 10755, 18241])).
% 78.76/50.60 tff(20528,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20529,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20530,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20529, 20528])).
% 78.76/50.60 tff(20531,plain,
% 78.76/50.60 (~v88(constB149, bitIndex2)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20530, 11467, 18342])).
% 78.76/50.60 tff(20532,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20533,plain,
% 78.76/50.60 ((v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149)) <=> (v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20534,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149)))),
% 78.76/50.60 inference(monotonicity,[status(thm)],[20533])).
% 78.76/50.60 tff(20535,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))),
% 78.76/50.60 inference(transitivity,[status(thm)],[20534, 20532])).
% 78.76/50.60 tff(20536,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20537,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149)),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20536, 20535])).
% 78.76/50.60 tff(20538,plain,
% 78.76/50.60 (v88(constB149, bitIndex0) | (~v88(constB149, bitIndex1)) | v143(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20537, 19614, 20531])).
% 78.76/50.60 tff(20539,plain,
% 78.76/50.60 (v143(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20538, 20527, 20523])).
% 78.76/50.60 tff(20540,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB149) | (~v143(constB149)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB149) | (~v143(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20541,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB149) | (~v143(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20542,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB149) | (~v143(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20541, 20540])).
% 78.76/50.60 tff(20543,plain,
% 78.76/50.60 (v142(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20542, 19629, 20539])).
% 78.76/50.60 tff(20544,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB149) | (~v142(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20545,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB149) | (~v142(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20546,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB149) | (~v142(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20545, 20544])).
% 78.76/50.60 tff(20547,plain,
% 78.76/50.60 (v227(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20546, 10806, 20543])).
% 78.76/50.60 tff(20548,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB149) | (~v227(constB149)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB149) | (~v227(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20549,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB149) | (~v227(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20550,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB149) | (~v227(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20549, 20548])).
% 78.76/50.60 tff(20551,plain,
% 78.76/50.60 (v226(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20550, 10817, 20547])).
% 78.76/50.60 tff(20552,plain,
% 78.76/50.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v139(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20553,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20554,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v139(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20553, 20552])).
% 78.76/50.60 tff(20555,plain,
% 78.76/50.60 (~v139(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20554, 11863, 20523])).
% 78.76/50.60 tff(20556,plain,
% 78.76/50.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v140(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20557,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20558,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v140(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20557, 20556])).
% 78.76/50.60 tff(20559,plain,
% 78.76/50.60 (~v140(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20558, 11526, 20523])).
% 78.76/50.60 tff(20560,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB149) | v139(constB149) | (~v168(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20561,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20562,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB149) | v139(constB149) | (~v168(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 78.76/50.60 tff(20563,plain,
% 78.76/50.60 (~v168(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20562, 10907, 20559, 20555])).
% 78.76/50.60 tff(20564,plain,
% 78.76/50.60 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB149)) | v168(constB149) | (~v226(constB149)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB149)) | v168(constB149) | (~v226(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20565,plain,
% 78.76/50.60 ((v168(constB149) | (~v226(constB149)) | (~v161(constB149))) <=> ((~v161(constB149)) | v168(constB149) | (~v226(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20566,plain,
% 78.76/50.60 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB149) | (~v226(constB149)) | (~v161(constB149)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB149)) | v168(constB149) | (~v226(constB149))))),
% 78.76/50.60 inference(monotonicity,[status(thm)],[20565])).
% 78.76/50.60 tff(20567,plain,
% 78.76/50.60 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB149) | (~v226(constB149)) | (~v161(constB149)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB149)) | v168(constB149) | (~v226(constB149)))),
% 78.76/50.60 inference(transitivity,[status(thm)],[20566, 20564])).
% 78.76/50.60 tff(20568,plain,
% 78.76/50.60 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB149) | (~v226(constB149)) | (~v161(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20569,plain,
% 78.76/50.60 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB149)) | v168(constB149) | (~v226(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20568, 20567])).
% 78.76/50.60 tff(20570,plain,
% 78.76/50.60 ((~v161(constB149)) | (~v226(constB149))),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20569, 10975, 20563])).
% 78.76/50.60 tff(20571,plain,
% 78.76/50.60 (~v161(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20570, 20551])).
% 78.76/50.60 tff(20572,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB149) | (~v187(constB149)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB149) | (~v187(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20573,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB149) | (~v187(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20574,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB149) | (~v187(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 78.76/50.60 tff(20575,plain,
% 78.76/50.60 (~v187(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20574, 10989, 20571])).
% 78.76/50.60 tff(20576,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB149) | (~v185(constB149)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB149) | (~v185(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20577,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB149) | (~v185(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20578,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB149) | (~v185(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20577, 20576])).
% 78.76/50.60 tff(20579,plain,
% 78.76/50.60 (~v185(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20578, 11000, 20575])).
% 78.76/50.60 tff(20580,assumption,(v18(constB150)), introduced(assumption)).
% 78.76/50.60 tff(20581,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB150))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20582,plain,
% 78.76/50.60 ($false),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20581, 70, 20580])).
% 78.76/50.60 tff(20583,plain,(~v18(constB150)), inference(lemma,lemma(discharge,[]))).
% 78.76/50.60 tff(20584,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20585,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20586,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20585, 20584])).
% 78.76/50.60 tff(20587,plain,
% 78.76/50.60 (v22(constB150)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20586, 83, 18407])).
% 78.76/50.60 tff(20588,plain,
% 78.76/50.60 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB150)) | (~v22(constB150)) | v18(constB150))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB150)) | (~v22(constB150)) | v18(constB150))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20589,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB150)) | (~v22(constB150)) | v18(constB150))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20590,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB150)) | (~v22(constB150)) | v18(constB150)),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 78.76/50.60 tff(20591,plain,
% 78.76/50.60 ((~v19(constB150)) | v18(constB150)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20590, 97, 20587])).
% 78.76/50.60 tff(20592,plain,
% 78.76/50.60 (~v19(constB150)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20591, 20583])).
% 78.76/50.60 tff(20593,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20594,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20595,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150)),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 78.76/50.60 tff(20596,plain,
% 78.76/50.60 (v13(constB150)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20595, 112, 20592])).
% 78.76/50.60 tff(20597,plain,
% 78.76/50.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20598,plain,
% 78.76/50.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20599,plain,
% 78.76/50.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149)),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20598, 20597])).
% 78.76/50.60 tff(20600,plain,
% 78.76/50.60 ((~v13(constB150)) | v9(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20599, 129, 18387])).
% 78.76/50.60 tff(20601,plain,
% 78.76/50.60 (v9(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20600, 20596])).
% 78.76/50.60 tff(20602,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v184(constB149))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB149) | (~v9(constB149)) | v184(constB149))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20603,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v184(constB149))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20604,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB149) | (~v9(constB149)) | v184(constB149)),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 78.76/50.60 tff(20605,plain,
% 78.76/50.60 ((~v9(constB149)) | v184(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20604, 11036, 18183])).
% 78.76/50.60 tff(20606,plain,
% 78.76/50.60 (v184(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20605, 20601])).
% 78.76/50.60 tff(20607,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB149) | (~v184(constB149)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB149) | (~v184(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20608,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB149) | (~v184(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20609,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB149) | (~v184(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20608, 20607])).
% 78.76/50.60 tff(20610,plain,
% 78.76/50.60 (v183(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20609, 11048, 20606])).
% 78.76/50.60 tff(20611,plain,
% 78.76/50.60 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB149)) | (~v183(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB149)) | (~v183(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20612,plain,
% 78.76/50.60 (((~v183(constB149)) | (~v181(constB149))) <=> ((~v181(constB149)) | (~v183(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20613,plain,
% 78.76/50.60 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB149)) | (~v181(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB149)) | (~v183(constB149))))),
% 78.76/50.60 inference(monotonicity,[status(thm)],[20612])).
% 78.76/50.60 tff(20614,plain,
% 78.76/50.60 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB149)) | (~v181(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB149)) | (~v183(constB149)))),
% 78.76/50.60 inference(transitivity,[status(thm)],[20613, 20611])).
% 78.76/50.60 tff(20615,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB149)) | (~v181(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20616,plain,
% 78.76/50.60 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB149)) | (~v183(constB149))),
% 78.76/50.60 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 78.76/50.60 tff(20617,plain,
% 78.76/50.60 (~v181(constB149)),
% 78.76/50.60 inference(unit_resolution,[status(thm)],[20616, 11059, 20610])).
% 78.76/50.60 tff(20618,plain,
% 78.76/50.60 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB149) | v185(constB149) | (~v178(constB149)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB149) | v185(constB149) | (~v178(constB149)))),
% 78.76/50.60 inference(rewrite,[status(thm)],[])).
% 78.76/50.60 tff(20619,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB149) | v185(constB149) | (~v178(constB149)))),
% 78.76/50.60 inference(quant_inst,[status(thm)],[])).
% 78.76/50.60 tff(20620,plain,
% 78.76/50.60 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB149) | v185(constB149) | (~v178(constB149))),
% 78.76/50.61 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 78.76/50.61 tff(20621,plain,
% 78.76/50.61 (v185(constB149) | (~v178(constB149))),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20620, 11073, 20617])).
% 78.76/50.61 tff(20622,plain,
% 78.76/50.61 (~v178(constB149)),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20621, 20579])).
% 78.76/50.61 tff(20623,plain,
% 78.76/50.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))),
% 78.76/50.61 inference(rewrite,[status(thm)],[])).
% 78.76/50.61 tff(20624,plain,
% 78.76/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))),
% 78.76/50.61 inference(quant_inst,[status(thm)],[])).
% 78.76/50.61 tff(20625,plain,
% 78.76/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150))),
% 78.76/50.61 inference(modus_ponens,[status(thm)],[20624, 20623])).
% 78.76/50.61 tff(20626,plain,
% 78.76/50.61 (v178(constB149) | (~v180(constB150))),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20625, 11088, 18387])).
% 78.76/50.61 tff(20627,plain,
% 78.76/50.61 (~v180(constB150)),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20626, 20622])).
% 78.76/50.61 tff(20628,plain,
% 78.76/50.61 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB150) | (~v181(constB150)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB150) | (~v181(constB150)))),
% 78.76/50.61 inference(rewrite,[status(thm)],[])).
% 78.76/50.61 tff(20629,plain,
% 78.76/50.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB150) | (~v181(constB150)))),
% 78.76/50.61 inference(quant_inst,[status(thm)],[])).
% 78.76/50.61 tff(20630,plain,
% 78.76/50.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB150) | (~v181(constB150))),
% 78.76/50.61 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 78.76/50.61 tff(20631,plain,
% 78.76/50.61 (~v181(constB150)),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20630, 11100, 20627])).
% 78.76/50.61 tff(20632,plain,
% 78.76/50.61 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB150)) | (~v184(constB150)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB150)) | (~v184(constB150)))),
% 78.76/50.61 inference(rewrite,[status(thm)],[])).
% 78.76/50.61 tff(20633,plain,
% 78.76/50.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB150)) | (~v184(constB150)))),
% 78.76/50.61 inference(quant_inst,[status(thm)],[])).
% 78.76/50.61 tff(20634,plain,
% 78.76/50.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB150)) | (~v184(constB150))),
% 78.76/50.61 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 78.76/50.61 tff(20635,plain,
% 78.76/50.61 (~v184(constB150)),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20634, 11111, 18407])).
% 78.76/50.61 tff(20636,plain,
% 78.76/50.61 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB150) | (~v187(constB150)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB150) | (~v187(constB150)))),
% 78.76/50.61 inference(rewrite,[status(thm)],[])).
% 78.76/50.61 tff(20637,plain,
% 78.76/50.61 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB150) | (~v187(constB150)))),
% 78.76/50.61 inference(quant_inst,[status(thm)],[])).
% 78.76/50.61 tff(20638,plain,
% 78.76/50.61 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB150) | (~v187(constB150))),
% 78.76/50.61 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 78.76/50.61 tff(20639,plain,
% 78.76/50.61 (~v187(constB150)),
% 78.76/50.61 inference(unit_resolution,[status(thm)],[20638, 11122, 20635])).
% 78.76/50.61 tff(20640,plain,
% 78.76/50.61 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB150) | (~v185(constB150)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB150) | (~v185(constB150)))),
% 78.76/50.61 inference(rewrite,[status(thm)],[])).
% 78.76/50.61 tff(20641,plain,
% 78.76/50.61 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB150) | (~v185(constB150)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20642,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB150) | (~v185(constB150))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 78.78/50.61 tff(20643,plain,
% 78.78/50.61 (~v185(constB150)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20642, 11000, 20639])).
% 78.78/50.61 tff(20644,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB150) | v185(constB150) | (~v178(constB150)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB150) | v185(constB150) | (~v178(constB150)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20645,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB150) | v185(constB150) | (~v178(constB150)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20646,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB150) | v185(constB150) | (~v178(constB150))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 78.78/50.61 tff(20647,plain,
% 78.78/50.61 (v181(constB150) | (~v178(constB150))),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20646, 11073, 20643])).
% 78.78/50.61 tff(20648,plain,
% 78.78/50.61 (~v178(constB150)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20647, 20631])).
% 78.78/50.61 tff(20649,plain,
% 78.78/50.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20650,plain,
% 78.78/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20651,plain,
% 78.78/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20650, 20649])).
% 78.78/50.61 tff(20652,plain,
% 78.78/50.61 (v178(constB150) | (~v180(constB151))),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20651, 11088, 18452])).
% 78.78/50.61 tff(20653,plain,
% 78.78/50.61 (~v180(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20652, 20648])).
% 78.78/50.61 tff(20654,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB151) | (~v215(constB151)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB151) | (~v215(constB151)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20655,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB151) | (~v215(constB151)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20656,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB151) | (~v215(constB151))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 78.78/50.61 tff(20657,plain,
% 78.78/50.61 (~v215(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20656, 11147, 20653])).
% 78.78/50.61 tff(20658,assumption,(v18(constB152)), introduced(assumption)).
% 78.78/50.61 tff(20659,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB152))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20660,plain,
% 78.78/50.61 ($false),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20659, 70, 20658])).
% 78.78/50.61 tff(20661,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.61 tff(20662,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20663,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20664,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20663, 20662])).
% 78.78/50.61 tff(20665,plain,
% 78.78/50.61 (v22(constB152)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20664, 83, 18615])).
% 78.78/50.61 tff(20666,plain,
% 78.78/50.61 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB152)) | (~v22(constB152)) | v18(constB152))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB152)) | (~v22(constB152)) | v18(constB152))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20667,plain,
% 78.78/50.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB152)) | (~v22(constB152)) | v18(constB152))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20668,plain,
% 78.78/50.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB152)) | (~v22(constB152)) | v18(constB152)),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20667, 20666])).
% 78.78/50.61 tff(20669,plain,
% 78.78/50.61 ((~v19(constB152)) | v18(constB152)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20668, 97, 20665])).
% 78.78/50.61 tff(20670,plain,
% 78.78/50.61 (~v19(constB152)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20669, 20661])).
% 78.78/50.61 tff(20671,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20672,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20673,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20672, 20671])).
% 78.78/50.61 tff(20674,plain,
% 78.78/50.61 (v13(constB152)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20673, 112, 20670])).
% 78.78/50.61 tff(20675,plain,
% 78.78/50.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20676,plain,
% 78.78/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20677,plain,
% 78.78/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151)),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20676, 20675])).
% 78.78/50.61 tff(20678,plain,
% 78.78/50.61 ((~v13(constB152)) | v9(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20677, 129, 18562])).
% 78.78/50.61 tff(20679,plain,
% 78.78/50.61 (v9(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20678, 20674])).
% 78.78/50.61 tff(20680,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v184(constB151))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB151) | (~v9(constB151)) | v184(constB151))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20681,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v184(constB151))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20682,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB151) | (~v9(constB151)) | v184(constB151)),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20681, 20680])).
% 78.78/50.61 tff(20683,plain,
% 78.78/50.61 ((~v9(constB151)) | v184(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20682, 11036, 18449])).
% 78.78/50.61 tff(20684,plain,
% 78.78/50.61 (v184(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20683, 20679])).
% 78.78/50.61 tff(20685,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB151) | (~v184(constB151)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB151) | (~v184(constB151)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20686,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB151) | (~v184(constB151)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20687,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB151) | (~v184(constB151))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 78.78/50.61 tff(20688,plain,
% 78.78/50.61 (v183(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20687, 11048, 20684])).
% 78.78/50.61 tff(20689,plain,
% 78.78/50.61 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB151)) | (~v214(constB151)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB151)) | (~v214(constB151)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20690,plain,
% 78.78/50.61 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB151)) | (~v214(constB151)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20691,plain,
% 78.78/50.61 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB151)) | (~v214(constB151))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20690, 20689])).
% 78.78/50.61 tff(20692,plain,
% 78.78/50.61 (~v214(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20691, 11189, 20688])).
% 78.78/50.61 tff(20693,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB151) | v215(constB151) | (~v211(constB151)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB151) | v215(constB151) | (~v211(constB151)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20694,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB151) | v215(constB151) | (~v211(constB151)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20695,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB151) | v215(constB151) | (~v211(constB151))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20694, 20693])).
% 78.78/50.61 tff(20696,plain,
% 78.78/50.61 (v215(constB151) | (~v211(constB151))),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20695, 11203, 20692])).
% 78.78/50.61 tff(20697,plain,
% 78.78/50.61 (~v211(constB151)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20696, 20657])).
% 78.78/50.61 tff(20698,plain,
% 78.78/50.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB151, constB152)) | v211(constB151) | (~v213(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB151, constB152)) | v211(constB151) | (~v213(constB152)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20699,plain,
% 78.78/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB151, constB152)) | v211(constB151) | (~v213(constB152)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20700,plain,
% 78.78/50.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB151, constB152)) | v211(constB151) | (~v213(constB152))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 78.78/50.61 tff(20701,plain,
% 78.78/50.61 (v211(constB151) | (~v213(constB152))),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20700, 11218, 18562])).
% 78.78/50.61 tff(20702,plain,
% 78.78/50.61 (~v213(constB152)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20701, 20697])).
% 78.78/50.61 tff(20703,plain,
% 78.78/50.61 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB152) | (~v214(constB152)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB152) | (~v214(constB152)))),
% 78.78/50.61 inference(rewrite,[status(thm)],[])).
% 78.78/50.61 tff(20704,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB152) | (~v214(constB152)))),
% 78.78/50.61 inference(quant_inst,[status(thm)],[])).
% 78.78/50.61 tff(20705,plain,
% 78.78/50.61 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB152) | (~v214(constB152))),
% 78.78/50.61 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 78.78/50.61 tff(20706,plain,
% 78.78/50.61 (~v214(constB152)),
% 78.78/50.61 inference(unit_resolution,[status(thm)],[20705, 11230, 20702])).
% 78.78/50.62 tff(20707,plain,
% 78.78/50.62 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB152)) | (~v184(constB152)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB152)) | (~v184(constB152)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20708,plain,
% 78.78/50.62 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB152)) | (~v184(constB152)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20709,plain,
% 78.78/50.62 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB152)) | (~v184(constB152))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 78.78/50.62 tff(20710,plain,
% 78.78/50.62 (~v184(constB152)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20709, 11111, 18615])).
% 78.78/50.62 tff(20711,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB152) | (~v217(constB152)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB152) | (~v217(constB152)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20712,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB152) | (~v217(constB152)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20713,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB152) | (~v217(constB152))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 78.78/50.62 tff(20714,plain,
% 78.78/50.62 (~v217(constB152)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20713, 11245, 20710])).
% 78.78/50.62 tff(20715,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB152) | (~v216(constB152)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB152) | (~v216(constB152)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20716,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB152) | (~v216(constB152)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20717,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB152) | (~v216(constB152))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 78.78/50.62 tff(20718,plain,
% 78.78/50.62 (~v216(constB152)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20717, 11256, 20714])).
% 78.78/50.62 tff(20719,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB152) | (~v215(constB152)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB152) | (~v215(constB152)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20720,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB152) | (~v215(constB152)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20721,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB152) | (~v215(constB152))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 78.78/50.62 tff(20722,plain,
% 78.78/50.62 (~v215(constB152)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20721, 11267, 20718])).
% 78.78/50.62 tff(20723,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB152) | v215(constB152) | (~v211(constB152)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB152) | v215(constB152) | (~v211(constB152)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20724,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB152) | v215(constB152) | (~v211(constB152)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20725,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB152) | v215(constB152) | (~v211(constB152))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20724, 20723])).
% 78.78/50.62 tff(20726,plain,
% 78.78/50.62 (v214(constB152) | (~v211(constB152))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20725, 11203, 20722])).
% 78.78/50.62 tff(20727,plain,
% 78.78/50.62 (~v211(constB152)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20726, 20706])).
% 78.78/50.62 tff(20728,plain,
% 78.78/50.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB152, constB153)) | v211(constB152) | (~v213(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB152, constB153)) | v211(constB152) | (~v213(constB153)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20729,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB152, constB153)) | v211(constB152) | (~v213(constB153)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20730,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB152, constB153)) | v211(constB152) | (~v213(constB153))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20729, 20728])).
% 78.78/50.62 tff(20731,plain,
% 78.78/50.62 (v211(constB152) | (~v213(constB153))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20730, 11218, 18689])).
% 78.78/50.62 tff(20732,plain,
% 78.78/50.62 (~v213(constB153)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20731, 20727])).
% 78.78/50.62 tff(20733,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB153) | (~v245(constB153)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB153) | (~v245(constB153)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20734,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB153) | (~v245(constB153)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20735,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB153) | (~v245(constB153))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20734, 20733])).
% 78.78/50.62 tff(20736,plain,
% 78.78/50.62 (~v245(constB153)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20735, 11683, 20732])).
% 78.78/50.62 tff(20737,plain,
% 78.78/50.62 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB153)) | (~v244(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB153)) | (~v244(constB153)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20738,plain,
% 78.78/50.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB153)) | (~v244(constB153)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20739,plain,
% 78.78/50.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB153)) | (~v244(constB153))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20738, 20737])).
% 78.78/50.62 tff(20740,plain,
% 78.78/50.62 (~v244(constB153)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20739, 11694, 20321])).
% 78.78/50.62 tff(20741,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB153) | v245(constB153) | (~v241(constB153)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB153) | v245(constB153) | (~v241(constB153)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20742,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB153) | v245(constB153) | (~v241(constB153)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20743,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB153) | v245(constB153) | (~v241(constB153))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20742, 20741])).
% 78.78/50.62 tff(20744,plain,
% 78.78/50.62 (v245(constB153) | (~v241(constB153))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20743, 11708, 20740])).
% 78.78/50.62 tff(20745,plain,
% 78.78/50.62 (~v241(constB153)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20744, 20736])).
% 78.78/50.62 tff(20746,plain,
% 78.78/50.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB153, constB154)) | v241(constB153) | (~v243(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB153, constB154)) | v241(constB153) | (~v243(constB154)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20747,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB153, constB154)) | v241(constB153) | (~v243(constB154)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20748,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB153, constB154)) | v241(constB153) | (~v243(constB154))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20747, 20746])).
% 78.78/50.62 tff(20749,plain,
% 78.78/50.62 (v241(constB153) | (~v243(constB154))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20748, 11723, 18789])).
% 78.78/50.62 tff(20750,plain,
% 78.78/50.62 (~v243(constB154)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20749, 20745])).
% 78.78/50.62 tff(20751,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB154) | (~v244(constB154)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB154) | (~v244(constB154)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20752,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB154) | (~v244(constB154)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20753,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB154) | (~v244(constB154))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20752, 20751])).
% 78.78/50.62 tff(20754,plain,
% 78.78/50.62 (~v244(constB154)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20753, 11735, 20750])).
% 78.78/50.62 tff(20755,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB154) | (~v247(constB154)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB154) | (~v247(constB154)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20756,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB154) | (~v247(constB154)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20757,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB154) | (~v247(constB154))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20756, 20755])).
% 78.78/50.62 tff(20758,plain,
% 78.78/50.62 (~v247(constB154)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20757, 11746, 20343])).
% 78.78/50.62 tff(20759,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB154) | (~v246(constB154)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB154) | (~v246(constB154)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20760,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB154) | (~v246(constB154)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20761,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB154) | (~v246(constB154))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20760, 20759])).
% 78.78/50.62 tff(20762,plain,
% 78.78/50.62 (~v246(constB154)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20761, 11757, 20758])).
% 78.78/50.62 tff(20763,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB154) | (~v245(constB154)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB154) | (~v245(constB154)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20764,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB154) | (~v245(constB154)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20765,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB154) | (~v245(constB154))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20764, 20763])).
% 78.78/50.62 tff(20766,plain,
% 78.78/50.62 (~v245(constB154)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20765, 11768, 20762])).
% 78.78/50.62 tff(20767,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB154) | v245(constB154) | (~v241(constB154)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB154) | v245(constB154) | (~v241(constB154)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20768,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB154) | v245(constB154) | (~v241(constB154)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20769,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB154) | v245(constB154) | (~v241(constB154))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20768, 20767])).
% 78.78/50.62 tff(20770,plain,
% 78.78/50.62 (v244(constB154) | (~v241(constB154))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20769, 11708, 20766])).
% 78.78/50.62 tff(20771,plain,
% 78.78/50.62 (~v241(constB154)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20770, 20754])).
% 78.78/50.62 tff(20772,plain,
% 78.78/50.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB154, constB155)) | v241(constB154) | (~v243(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB154, constB155)) | v241(constB154) | (~v243(constB155)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20773,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB154, constB155)) | v241(constB154) | (~v243(constB155)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20774,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB154, constB155)) | v241(constB154) | (~v243(constB155))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 78.78/50.62 tff(20775,plain,
% 78.78/50.62 (v241(constB154) | (~v243(constB155))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20774, 11723, 18851])).
% 78.78/50.62 tff(20776,plain,
% 78.78/50.62 (~v243(constB155)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20775, 20771])).
% 78.78/50.62 tff(20777,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB155) | (~v260(constB155)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB155) | (~v260(constB155)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20778,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB155) | (~v260(constB155)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20779,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB155) | (~v260(constB155))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20778, 20777])).
% 78.78/50.62 tff(20780,plain,
% 78.78/50.62 (~v260(constB155)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20779, 12130, 20776])).
% 78.78/50.62 tff(20781,plain,
% 78.78/50.62 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB155)) | (~v259(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB155)) | (~v259(constB155)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20782,plain,
% 78.78/50.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB155)) | (~v259(constB155)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20783,plain,
% 78.78/50.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB155)) | (~v259(constB155))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20782, 20781])).
% 78.78/50.62 tff(20784,plain,
% 78.78/50.62 (~v259(constB155)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20783, 12141, 19977])).
% 78.78/50.62 tff(20785,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB155) | v260(constB155) | (~v256(constB155)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB155) | v260(constB155) | (~v256(constB155)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20786,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB155) | v260(constB155) | (~v256(constB155)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20787,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB155) | v260(constB155) | (~v256(constB155))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20786, 20785])).
% 78.78/50.62 tff(20788,plain,
% 78.78/50.62 (v260(constB155) | (~v256(constB155))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20787, 12155, 20784])).
% 78.78/50.62 tff(20789,plain,
% 78.78/50.62 (~v256(constB155)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20788, 20780])).
% 78.78/50.62 tff(20790,plain,
% 78.78/50.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB155, constB156)) | v256(constB155) | (~v258(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB155, constB156)) | v256(constB155) | (~v258(constB156)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20791,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB155, constB156)) | v256(constB155) | (~v258(constB156)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20792,plain,
% 78.78/50.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB155, constB156)) | v256(constB155) | (~v258(constB156))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20791, 20790])).
% 78.78/50.62 tff(20793,plain,
% 78.78/50.62 (v256(constB155) | (~v258(constB156))),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20792, 12170, 18968])).
% 78.78/50.62 tff(20794,plain,
% 78.78/50.62 (~v258(constB156)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20793, 20789])).
% 78.78/50.62 tff(20795,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB156) | (~v259(constB156)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB156) | (~v259(constB156)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20796,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB156) | (~v259(constB156)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20797,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB156) | (~v259(constB156))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20796, 20795])).
% 78.78/50.62 tff(20798,plain,
% 78.78/50.62 (~v259(constB156)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20797, 12182, 20794])).
% 78.78/50.62 tff(20799,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB156) | (~v262(constB156)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB156) | (~v262(constB156)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20800,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB156) | (~v262(constB156)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20801,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB156) | (~v262(constB156))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20800, 20799])).
% 78.78/50.62 tff(20802,plain,
% 78.78/50.62 (~v262(constB156)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20801, 12193, 20002])).
% 78.78/50.62 tff(20803,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB156) | (~v261(constB156)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB156) | (~v261(constB156)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20804,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB156) | (~v261(constB156)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20805,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB156) | (~v261(constB156))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20804, 20803])).
% 78.78/50.62 tff(20806,plain,
% 78.78/50.62 (~v261(constB156)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20805, 12204, 20802])).
% 78.78/50.62 tff(20807,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB156) | (~v260(constB156)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB156) | (~v260(constB156)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20808,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB156) | (~v260(constB156)))),
% 78.78/50.62 inference(quant_inst,[status(thm)],[])).
% 78.78/50.62 tff(20809,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB156) | (~v260(constB156))),
% 78.78/50.62 inference(modus_ponens,[status(thm)],[20808, 20807])).
% 78.78/50.62 tff(20810,plain,
% 78.78/50.62 (~v260(constB156)),
% 78.78/50.62 inference(unit_resolution,[status(thm)],[20809, 12215, 20806])).
% 78.78/50.62 tff(20811,plain,
% 78.78/50.62 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB156) | v260(constB156) | (~v256(constB156)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB156) | v260(constB156) | (~v256(constB156)))),
% 78.78/50.62 inference(rewrite,[status(thm)],[])).
% 78.78/50.62 tff(20812,plain,
% 78.78/50.62 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB156) | v260(constB156) | (~v256(constB156)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20813,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB156) | v260(constB156) | (~v256(constB156))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20812, 20811])).
% 78.78/50.63 tff(20814,plain,
% 78.78/50.63 (v259(constB156) | (~v256(constB156))),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20813, 12155, 20810])).
% 78.78/50.63 tff(20815,plain,
% 78.78/50.63 (~v256(constB156)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20814, 20798])).
% 78.78/50.63 tff(20816,plain,
% 78.78/50.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB156, constB157)) | v256(constB156) | (~v258(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB156, constB157)) | v256(constB156) | (~v258(constB157)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20817,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB156, constB157)) | v256(constB156) | (~v258(constB157)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20818,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB156, constB157)) | v256(constB156) | (~v258(constB157))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 78.78/50.63 tff(20819,plain,
% 78.78/50.63 (v256(constB156) | (~v258(constB157))),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20818, 12170, 19030])).
% 78.78/50.63 tff(20820,plain,
% 78.78/50.63 (~v258(constB157)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20819, 20815])).
% 78.78/50.63 tff(20821,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB157) | (~v271(constB157)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB157) | (~v271(constB157)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20822,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB157) | (~v271(constB157)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20823,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB157) | (~v271(constB157))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20822, 20821])).
% 78.78/50.63 tff(20824,plain,
% 78.78/50.63 (~v271(constB157)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20823, 12236, 20820])).
% 78.78/50.63 tff(20825,plain,
% 78.78/50.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB157)) | (~v270(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB157)) | (~v270(constB157)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20826,plain,
% 78.78/50.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB157)) | (~v270(constB157)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20827,plain,
% 78.78/50.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB157)) | (~v270(constB157))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20826, 20825])).
% 78.78/50.63 tff(20828,plain,
% 78.78/50.63 (~v270(constB157)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20827, 12247, 19761])).
% 78.78/50.63 tff(20829,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB157)) | v270(constB157) | v271(constB157))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB157)) | v270(constB157) | v271(constB157))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20830,plain,
% 78.78/50.63 ((v271(constB157) | v270(constB157) | (~v267(constB157))) <=> ((~v267(constB157)) | v270(constB157) | v271(constB157))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20831,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB157) | v270(constB157) | (~v267(constB157)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB157)) | v270(constB157) | v271(constB157)))),
% 78.78/50.63 inference(monotonicity,[status(thm)],[20830])).
% 78.78/50.63 tff(20832,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB157) | v270(constB157) | (~v267(constB157)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB157)) | v270(constB157) | v271(constB157))),
% 78.78/50.63 inference(transitivity,[status(thm)],[20831, 20829])).
% 78.78/50.63 tff(20833,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB157) | v270(constB157) | (~v267(constB157)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20834,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB157)) | v270(constB157) | v271(constB157)),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20833, 20832])).
% 78.78/50.63 tff(20835,plain,
% 78.78/50.63 ((~v267(constB157)) | v271(constB157)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20834, 12261, 20828])).
% 78.78/50.63 tff(20836,plain,
% 78.78/50.63 (~v267(constB157)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20835, 20824])).
% 78.78/50.63 tff(20837,plain,
% 78.78/50.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB157, constB158)) | v267(constB157) | (~v269(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB157, constB158)) | v267(constB157) | (~v269(constB158)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20838,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB157, constB158)) | v267(constB157) | (~v269(constB158)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20839,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB157, constB158)) | v267(constB157) | (~v269(constB158))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20838, 20837])).
% 78.78/50.63 tff(20840,plain,
% 78.78/50.63 (v267(constB157) | (~v269(constB158))),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20839, 12279, 19143])).
% 78.78/50.63 tff(20841,plain,
% 78.78/50.63 (~v269(constB158)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20840, 20836])).
% 78.78/50.63 tff(20842,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB158) | (~v270(constB158)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB158) | (~v270(constB158)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20843,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB158) | (~v270(constB158)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20844,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB158) | (~v270(constB158))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20843, 20842])).
% 78.78/50.63 tff(20845,plain,
% 78.78/50.63 (~v270(constB158)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20844, 12291, 20841])).
% 78.78/50.63 tff(20846,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB158) | (~v271(constB158)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB158) | (~v271(constB158)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20847,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB158) | (~v271(constB158)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20848,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB158) | (~v271(constB158))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20847, 20846])).
% 78.78/50.63 tff(20849,plain,
% 78.78/50.63 (~v271(constB158)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20848, 12310, 20439])).
% 78.78/50.63 tff(20850,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB158)) | v271(constB158) | v270(constB158))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB158)) | v271(constB158) | v270(constB158))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20851,plain,
% 78.78/50.63 ((v271(constB158) | v270(constB158) | (~v267(constB158))) <=> ((~v267(constB158)) | v271(constB158) | v270(constB158))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20852,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB158) | v270(constB158) | (~v267(constB158)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB158)) | v271(constB158) | v270(constB158)))),
% 78.78/50.63 inference(monotonicity,[status(thm)],[20851])).
% 78.78/50.63 tff(20853,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB158) | v270(constB158) | (~v267(constB158)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB158)) | v271(constB158) | v270(constB158))),
% 78.78/50.63 inference(transitivity,[status(thm)],[20852, 20850])).
% 78.78/50.63 tff(20854,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB158) | v270(constB158) | (~v267(constB158)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20855,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB158)) | v271(constB158) | v270(constB158)),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 78.78/50.63 tff(20856,plain,
% 78.78/50.63 ((~v267(constB158)) | v270(constB158)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20855, 12261, 20849])).
% 78.78/50.63 tff(20857,plain,
% 78.78/50.63 (~v267(constB158)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20856, 20845])).
% 78.78/50.63 tff(20858,plain,
% 78.78/50.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB158, constB159)) | v267(constB158) | (~v269(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB158, constB159)) | v267(constB158) | (~v269(constB159)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20859,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB158, constB159)) | v267(constB158) | (~v269(constB159)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20860,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB158, constB159)) | v267(constB158) | (~v269(constB159))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 78.78/50.63 tff(20861,plain,
% 78.78/50.63 (v267(constB158) | (~v269(constB159))),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20860, 12279, 19235])).
% 78.78/50.63 tff(20862,plain,
% 78.78/50.63 (~v269(constB159)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20861, 20857])).
% 78.78/50.63 tff(20863,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB159) | (~v282(constB159)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB159) | (~v282(constB159)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20864,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB159) | (~v282(constB159)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20865,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB159) | (~v282(constB159))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20864, 20863])).
% 78.78/50.63 tff(20866,plain,
% 78.78/50.63 (~v282(constB159)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20865, 12334, 20862])).
% 78.78/50.63 tff(20867,plain,
% 78.78/50.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB159)) | (~v281(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB159)) | (~v281(constB159)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20868,plain,
% 78.78/50.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB159)) | (~v281(constB159)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20869,plain,
% 78.78/50.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB159)) | (~v281(constB159))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 78.78/50.63 tff(20870,plain,
% 78.78/50.63 (~v281(constB159)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20869, 12345, 19839])).
% 78.78/50.63 tff(20871,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB159)) | v281(constB159) | v282(constB159))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB159)) | v281(constB159) | v282(constB159))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20872,plain,
% 78.78/50.63 ((v282(constB159) | v281(constB159) | (~v278(constB159))) <=> ((~v278(constB159)) | v281(constB159) | v282(constB159))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20873,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB159) | v281(constB159) | (~v278(constB159)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB159)) | v281(constB159) | v282(constB159)))),
% 78.78/50.63 inference(monotonicity,[status(thm)],[20872])).
% 78.78/50.63 tff(20874,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB159) | v281(constB159) | (~v278(constB159)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB159)) | v281(constB159) | v282(constB159))),
% 78.78/50.63 inference(transitivity,[status(thm)],[20873, 20871])).
% 78.78/50.63 tff(20875,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB159) | v281(constB159) | (~v278(constB159)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20876,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB159)) | v281(constB159) | v282(constB159)),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20875, 20874])).
% 78.78/50.63 tff(20877,plain,
% 78.78/50.63 ((~v278(constB159)) | v282(constB159)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20876, 12359, 20870])).
% 78.78/50.63 tff(20878,plain,
% 78.78/50.63 (~v278(constB159)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20877, 20866])).
% 78.78/50.63 tff(20879,plain,
% 78.78/50.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB159, constB160)) | v278(constB159) | (~v280(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB159, constB160)) | v278(constB159) | (~v280(constB160)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20880,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB159, constB160)) | v278(constB159) | (~v280(constB160)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20881,plain,
% 78.78/50.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB159, constB160)) | v278(constB159) | (~v280(constB160))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20880, 20879])).
% 78.78/50.63 tff(20882,plain,
% 78.78/50.63 (v278(constB159) | (~v280(constB160))),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20881, 12377, 19374])).
% 78.78/50.63 tff(20883,plain,
% 78.78/50.63 (~v280(constB160)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20882, 20878])).
% 78.78/50.63 tff(20884,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB160) | (~v281(constB160)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB160) | (~v281(constB160)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20885,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB160) | (~v281(constB160)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20886,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB160) | (~v281(constB160))),
% 78.78/50.63 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 78.78/50.63 tff(20887,plain,
% 78.78/50.63 (~v281(constB160)),
% 78.78/50.63 inference(unit_resolution,[status(thm)],[20886, 12389, 20883])).
% 78.78/50.63 tff(20888,plain,
% 78.78/50.63 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB160) | (~v282(constB160)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB160) | (~v282(constB160)))),
% 78.78/50.63 inference(rewrite,[status(thm)],[])).
% 78.78/50.63 tff(20889,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB160) | (~v282(constB160)))),
% 78.78/50.63 inference(quant_inst,[status(thm)],[])).
% 78.78/50.63 tff(20890,plain,
% 78.78/50.63 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB160) | (~v282(constB160))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 78.78/50.64 tff(20891,plain,
% 78.78/50.64 (~v282(constB160)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20890, 12400, 19869])).
% 78.78/50.64 tff(20892,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB160)) | v282(constB160) | v281(constB160))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB160)) | v282(constB160) | v281(constB160))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20893,plain,
% 78.78/50.64 ((v282(constB160) | v281(constB160) | (~v278(constB160))) <=> ((~v278(constB160)) | v282(constB160) | v281(constB160))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20894,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB160) | v281(constB160) | (~v278(constB160)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB160)) | v282(constB160) | v281(constB160)))),
% 78.78/50.64 inference(monotonicity,[status(thm)],[20893])).
% 78.78/50.64 tff(20895,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB160) | v281(constB160) | (~v278(constB160)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB160)) | v282(constB160) | v281(constB160))),
% 78.78/50.64 inference(transitivity,[status(thm)],[20894, 20892])).
% 78.78/50.64 tff(20896,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB160) | v281(constB160) | (~v278(constB160)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20897,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB160)) | v282(constB160) | v281(constB160)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20896, 20895])).
% 78.78/50.64 tff(20898,plain,
% 78.78/50.64 ((~v278(constB160)) | v281(constB160)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20897, 12359, 20891])).
% 78.78/50.64 tff(20899,plain,
% 78.78/50.64 (~v278(constB160)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20898, 20887])).
% 78.78/50.64 tff(20900,plain,
% 78.78/50.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB160, constB161)) | v278(constB160) | (~v280(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB160, constB161)) | v278(constB160) | (~v280(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20901,plain,
% 78.78/50.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB160, constB161)) | v278(constB160) | (~v280(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20902,plain,
% 78.78/50.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB160, constB161)) | v278(constB160) | (~v280(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20901, 20900])).
% 78.78/50.64 tff(20903,plain,
% 78.78/50.64 (v278(constB160) | (~v280(constB161))),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20902, 12377, 19436])).
% 78.78/50.64 tff(20904,plain,
% 78.78/50.64 (~v280(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20903, 20899])).
% 78.78/50.64 tff(20905,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB161) | (~v309(constB161)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB161) | (~v309(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20906,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB161) | (~v309(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20907,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB161) | (~v309(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20906, 20905])).
% 78.78/50.64 tff(20908,plain,
% 78.78/50.64 (~v309(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20907, 12424, 20904])).
% 78.78/50.64 tff(20909,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB161) | v309(constB161) | (~v289(constB161)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB161) | v309(constB161) | (~v289(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20910,plain,
% 78.78/50.64 ((v309(constB161) | (~v289(constB161)) | v288(constB161)) <=> (v288(constB161) | v309(constB161) | (~v289(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20911,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB161) | (~v289(constB161)) | v288(constB161))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB161) | v309(constB161) | (~v289(constB161))))),
% 78.78/50.64 inference(monotonicity,[status(thm)],[20910])).
% 78.78/50.64 tff(20912,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB161) | (~v289(constB161)) | v288(constB161))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB161) | v309(constB161) | (~v289(constB161)))),
% 78.78/50.64 inference(transitivity,[status(thm)],[20911, 20909])).
% 78.78/50.64 tff(20913,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB161) | (~v289(constB161)) | v288(constB161))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20914,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB161) | v309(constB161) | (~v289(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20913, 20912])).
% 78.78/50.64 tff(20915,plain,
% 78.78/50.64 (v288(constB161) | (~v289(constB161))),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20914, 12438, 20908])).
% 78.78/50.64 tff(20916,plain,
% 78.78/50.64 (v288(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20915, 20519])).
% 78.78/50.64 tff(20917,plain,
% 78.78/50.64 ($false),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20916, 12454])).
% 78.78/50.64 tff(20918,plain,((~(constB161 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.64 tff(20919,plain,
% 78.78/50.64 (~(constB161 = sK0_VarCurr)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20918, 1])).
% 78.78/50.64 tff(20920,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 78.78/50.64 tff(20921,plain,
% 78.78/50.64 (v288(constB195) <=> v288(sK0_VarCurr)),
% 78.78/50.64 inference(monotonicity,[status(thm)],[20920])).
% 78.78/50.64 tff(20922,plain,
% 78.78/50.64 (v288(sK0_VarCurr) <=> v288(constB195)),
% 78.78/50.64 inference(symmetry,[status(thm)],[20921])).
% 78.78/50.64 tff(20923,plain,
% 78.78/50.64 ((~v288(sK0_VarCurr)) <=> (~v288(constB195))),
% 78.78/50.64 inference(monotonicity,[status(thm)],[20922])).
% 78.78/50.64 tff(20924,plain,
% 78.78/50.64 (~v288(constB195)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[1, 20923])).
% 78.78/50.64 tff(20925,assumption,(v18(constB194)), introduced(assumption)).
% 78.78/50.64 tff(20926,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB194))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20927,plain,
% 78.78/50.64 ($false),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20926, 70, 20925])).
% 78.78/50.64 tff(20928,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.64 tff(20929,plain,
% 78.78/50.64 (v1(constB194) <=> v1(constB194)),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20930,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 78.78/50.64 tff(20931,plain,
% 78.78/50.64 (v1(constB194)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 78.78/50.64 tff(20932,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20933,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20934,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 78.78/50.64 tff(20935,plain,
% 78.78/50.64 (v22(constB194)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20934, 83, 20931])).
% 78.78/50.64 tff(20936,plain,
% 78.78/50.64 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20937,plain,
% 78.78/50.64 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20938,plain,
% 78.78/50.64 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 78.78/50.64 tff(20939,plain,
% 78.78/50.64 ((~v19(constB194)) | v18(constB194)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20938, 97, 20935])).
% 78.78/50.64 tff(20940,plain,
% 78.78/50.64 (~v19(constB194)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20939, 20928])).
% 78.78/50.64 tff(20941,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20942,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20943,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20942, 20941])).
% 78.78/50.64 tff(20944,plain,
% 78.78/50.64 (v13(constB194)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20943, 112, 20940])).
% 78.78/50.64 tff(20945,plain,
% 78.78/50.64 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20946,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 78.78/50.64 tff(20947,plain,
% 78.78/50.64 (nextState(constB193, constB194)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20946, 20945])).
% 78.78/50.64 tff(20948,plain,
% 78.78/50.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20949,plain,
% 78.78/50.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20950,plain,
% 78.78/50.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 78.78/50.64 tff(20951,plain,
% 78.78/50.64 ((~v13(constB194)) | v9(constB193)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20950, 129, 20947])).
% 78.78/50.64 tff(20952,plain,
% 78.78/50.64 (v9(constB193)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20951, 20944])).
% 78.78/50.64 tff(20953,plain,
% 78.78/50.64 ((~v1(constB193)) <=> (~v1(constB193))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20954,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 78.78/50.64 tff(20955,plain,
% 78.78/50.64 (~v1(constB193)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20954, 20953])).
% 78.78/50.64 tff(20956,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v184(constB193))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB193) | (~v9(constB193)) | v184(constB193))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20957,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v184(constB193))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20958,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB193) | (~v9(constB193)) | v184(constB193)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 78.78/50.64 tff(20959,plain,
% 78.78/50.64 ((~v9(constB193)) | v184(constB193)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20958, 11036, 20955])).
% 78.78/50.64 tff(20960,plain,
% 78.78/50.64 (v184(constB193)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20959, 20952])).
% 78.78/50.64 tff(20961,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB193) | (~v184(constB193)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB193) | (~v184(constB193)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20962,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB193) | (~v184(constB193)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20963,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB193) | (~v184(constB193))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20962, 20961])).
% 78.78/50.64 tff(20964,plain,
% 78.78/50.64 (v183(constB193)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20963, 11048, 20960])).
% 78.78/50.64 tff(20965,plain,
% 78.78/50.64 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB193)) | (~v270(constB193)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB193)) | (~v270(constB193)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20966,plain,
% 78.78/50.64 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB193)) | (~v270(constB193)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20967,plain,
% 78.78/50.64 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB193)) | (~v270(constB193))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20966, 20965])).
% 78.78/50.64 tff(20968,plain,
% 78.78/50.64 (~v270(constB193)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20967, 12247, 20964])).
% 78.78/50.64 tff(20969,assumption,(v26(constB167)), introduced(assumption)).
% 78.78/50.64 tff(20970,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20971,plain,
% 78.78/50.64 ($false),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20970, 14, 20969])).
% 78.78/50.64 tff(20972,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.64 tff(20973,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20974,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20975,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 78.78/50.64 tff(20976,plain,
% 78.78/50.64 (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v121(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20975, 1172, 19600])).
% 78.78/50.64 tff(20977,plain,
% 78.78/50.64 (v121(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20976, 19495, 19457])).
% 78.78/50.64 tff(20978,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20979,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20980,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 78.78/50.64 tff(20981,plain,
% 78.78/50.64 (v117(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20980, 1183, 20977])).
% 78.78/50.64 tff(20982,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20983,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20984,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20983, 20982])).
% 78.78/50.64 tff(20985,plain,
% 78.78/50.64 (v116(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20984, 508, 20981])).
% 78.78/50.64 tff(20986,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20987,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20988,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20987, 20986])).
% 78.78/50.64 tff(20989,plain,
% 78.78/50.64 (v115(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20988, 519, 20985])).
% 78.78/50.64 tff(20990,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20991,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20992,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 78.78/50.64 tff(20993,plain,
% 78.78/50.64 (v114(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20992, 530, 20989])).
% 78.78/50.64 tff(20994,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161)))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(20995,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(20996,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161))),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[20995, 20994])).
% 78.78/50.64 tff(20997,plain,
% 78.78/50.64 (v113(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20996, 541, 20993])).
% 78.78/50.64 tff(20998,assumption,(v26(constB161)), introduced(assumption)).
% 78.78/50.64 tff(20999,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(21000,plain,
% 78.78/50.64 ($false),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[20999, 14, 20998])).
% 78.78/50.64 tff(21001,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.64 tff(21002,plain,
% 78.78/50.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 78.78/50.64 inference(rewrite,[status(thm)],[])).
% 78.78/50.64 tff(21003,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 78.78/50.64 inference(quant_inst,[status(thm)],[])).
% 78.78/50.64 tff(21004,plain,
% 78.78/50.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161)),
% 78.78/50.64 inference(modus_ponens,[status(thm)],[21003, 21002])).
% 78.78/50.64 tff(21005,plain,
% 78.78/50.64 ((~v113(constB161)) | v112(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[21004, 555, 21001])).
% 78.78/50.64 tff(21006,plain,
% 78.78/50.64 (v112(constB161)),
% 78.78/50.64 inference(unit_resolution,[status(thm)],[21005, 20997])).
% 78.78/50.65 tff(21007,plain,
% 78.78/50.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21008,plain,
% 78.78/50.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21009,plain,
% 78.78/50.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21008, 21007])).
% 78.78/50.65 tff(21010,plain,
% 78.78/50.65 (v108(constB161)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21009, 464, 21006])).
% 78.78/50.65 tff(21011,plain,
% 78.78/50.65 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21012,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 78.78/50.65 tff(21013,plain,
% 78.78/50.65 (nextState(constB161, constB162)),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 78.78/50.65 tff(21014,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21015,plain,
% 78.78/50.65 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21016,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 78.78/50.65 inference(monotonicity,[status(thm)],[21015])).
% 78.78/50.65 tff(21017,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 78.78/50.65 inference(transitivity,[status(thm)],[21016, 21014])).
% 78.78/50.65 tff(21018,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21019,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21018, 21017])).
% 78.78/50.65 tff(21020,plain,
% 78.78/50.65 (v110(constB162) | (~v108(constB161))),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21019, 571, 21013])).
% 78.78/50.65 tff(21021,plain,
% 78.78/50.65 (v110(constB162)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21020, 21010])).
% 78.78/50.65 tff(21022,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21023,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21024,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21023, 21022])).
% 78.78/50.65 tff(21025,plain,
% 78.78/50.65 (~v104(constB162)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21024, 589, 21013, 19433])).
% 78.78/50.65 tff(21026,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21027,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21028,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21027, 21026])).
% 78.78/50.65 tff(21029,plain,
% 78.78/50.65 (v102(constB162) | v104(constB162)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21028, 603, 21013])).
% 78.78/50.65 tff(21030,plain,
% 78.78/50.65 (v102(constB162)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21029, 21025])).
% 78.78/50.65 tff(21031,plain,
% 78.78/50.65 (v1(constB162) <=> v1(constB162)),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21032,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 78.78/50.65 tff(21033,plain,
% 78.78/50.65 (v1(constB162)),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21032, 21031])).
% 78.78/50.65 tff(21034,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21035,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21036,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21035, 21034])).
% 78.78/50.65 tff(21037,plain,
% 78.78/50.65 (v101(constB162) | (~v102(constB162))),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21036, 621, 21013, 21033])).
% 78.78/50.65 tff(21038,plain,
% 78.78/50.65 (v101(constB162)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21037, 21030])).
% 78.78/50.65 tff(21039,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21040,plain,
% 78.78/50.65 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21041,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 78.78/50.65 inference(monotonicity,[status(thm)],[21040])).
% 78.78/50.65 tff(21042,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 78.78/50.65 inference(transitivity,[status(thm)],[21041, 21039])).
% 78.78/50.65 tff(21043,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21044,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 78.78/50.65 tff(21045,plain,
% 78.78/50.65 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21044, 636, 21013])).
% 78.78/50.65 tff(21046,plain,
% 78.78/50.65 (v100(constB162) | (~v110(constB162))),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21045, 21038])).
% 78.78/50.65 tff(21047,plain,
% 78.78/50.65 (v100(constB162)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21046, 21021])).
% 78.78/50.65 tff(21048,plain,
% 78.78/50.65 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21049,plain,
% 78.78/50.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21050,plain,
% 78.78/50.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 78.78/50.65 tff(21051,plain,
% 78.78/50.65 (~v130(constB161, bitIndex2)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21050, 1259, 20977])).
% 78.78/50.65 tff(21052,plain,
% 78.78/50.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21053,plain,
% 78.78/50.65 ((v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2))) <=> ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21054,plain,
% 78.78/50.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)))),
% 78.78/50.65 inference(monotonicity,[status(thm)],[21053])).
% 78.78/50.65 tff(21055,plain,
% 78.78/50.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 78.78/50.65 inference(transitivity,[status(thm)],[21054, 21052])).
% 78.78/50.65 tff(21056,plain,
% 78.78/50.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21057,plain,
% 78.78/50.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 78.78/50.65 tff(21058,plain,
% 78.78/50.65 ((~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21057, 430, 21001])).
% 78.78/50.65 tff(21059,plain,
% 78.78/50.65 (~v127(constB161, bitIndex2)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21058, 21051])).
% 78.78/50.65 tff(21060,plain,
% 78.78/50.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21061,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21062,plain,
% 78.78/50.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 78.78/50.65 inference(modus_ponens,[status(thm)],[21061, 21060])).
% 78.78/50.65 tff(21063,plain,
% 78.78/50.65 (v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21062, 451, 21013])).
% 78.78/50.65 tff(21064,plain,
% 78.78/50.65 (~v129(constB162, bitIndex2)),
% 78.78/50.65 inference(unit_resolution,[status(thm)],[21063, 21059])).
% 78.78/50.65 tff(21065,plain,
% 78.78/50.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21066,plain,
% 78.78/50.65 (((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 78.78/50.65 inference(rewrite,[status(thm)],[])).
% 78.78/50.65 tff(21067,plain,
% 78.78/50.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))))),
% 78.78/50.65 inference(monotonicity,[status(thm)],[21066])).
% 78.78/50.65 tff(21068,plain,
% 78.78/50.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 78.78/50.65 inference(transitivity,[status(thm)],[21067, 21065])).
% 78.78/50.65 tff(21069,plain,
% 78.78/50.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))),
% 78.78/50.65 inference(quant_inst,[status(thm)],[])).
% 78.78/50.65 tff(21070,plain,
% 78.78/50.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 78.78/50.66 tff(21071,plain,
% 78.78/50.66 ((~v90(constB162, bitIndex2)) | (~v100(constB162))),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21070, 655, 21064])).
% 78.78/50.66 tff(21072,plain,
% 78.78/50.66 (~v90(constB162, bitIndex2)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21071, 21047])).
% 78.78/50.66 tff(21073,plain,
% 78.78/50.66 ((~v1(constB163)) <=> (~v1(constB163))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21074,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 78.78/50.66 tff(21075,plain,
% 78.78/50.66 (~v1(constB163)),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 78.78/50.66 tff(21076,plain,
% 78.78/50.66 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21077,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 78.78/50.66 tff(21078,plain,
% 78.78/50.66 (nextState(constB162, constB163)),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21077, 21076])).
% 78.78/50.66 tff(21079,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21080,plain,
% 78.78/50.66 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21081,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 78.78/50.66 inference(monotonicity,[status(thm)],[21080])).
% 78.78/50.66 tff(21082,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 78.78/50.66 inference(transitivity,[status(thm)],[21081, 21079])).
% 78.78/50.66 tff(21083,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 78.78/50.66 inference(quant_inst,[status(thm)],[])).
% 78.78/50.66 tff(21084,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21083, 21082])).
% 78.78/50.66 tff(21085,plain,
% 78.78/50.66 (~v101(constB163)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21084, 307, 21078, 21075])).
% 78.78/50.66 tff(21086,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21087,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 78.78/50.66 inference(quant_inst,[status(thm)],[])).
% 78.78/50.66 tff(21088,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21087, 21086])).
% 78.78/50.66 tff(21089,plain,
% 78.78/50.66 (v101(constB163) | (~v100(constB163))),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21088, 324, 21078])).
% 78.78/50.66 tff(21090,plain,
% 78.78/50.66 (~v100(constB163)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21089, 21085])).
% 78.78/50.66 tff(21091,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21092,plain,
% 78.78/50.66 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21093,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))))),
% 78.78/50.66 inference(monotonicity,[status(thm)],[21092])).
% 78.78/50.66 tff(21094,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 78.78/50.66 inference(transitivity,[status(thm)],[21093, 21091])).
% 78.78/50.66 tff(21095,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 78.78/50.66 inference(quant_inst,[status(thm)],[])).
% 78.78/50.66 tff(21096,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 78.78/50.66 tff(21097,plain,
% 78.78/50.66 (v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21096, 339, 21078])).
% 78.78/50.66 tff(21098,plain,
% 78.78/50.66 (v90(constB162, bitIndex2) | (~v90(constB163, bitIndex2))),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21097, 21090])).
% 78.78/50.66 tff(21099,plain,
% 78.78/50.66 (~v90(constB163, bitIndex2)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21098, 21072])).
% 78.78/50.66 tff(21100,plain,
% 78.78/50.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21101,plain,
% 78.78/50.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))),
% 78.78/50.66 inference(quant_inst,[status(thm)],[])).
% 78.78/50.66 tff(21102,plain,
% 78.78/50.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1)),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21101, 21100])).
% 78.78/50.66 tff(21103,plain,
% 78.78/50.66 (v130(constB161, bitIndex1)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21102, 1321, 20977])).
% 78.78/50.66 tff(21104,plain,
% 78.78/50.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21105,plain,
% 78.78/50.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 78.78/50.66 inference(quant_inst,[status(thm)],[])).
% 78.78/50.66 tff(21106,plain,
% 78.78/50.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 78.78/50.66 tff(21107,plain,
% 78.78/50.66 ((~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21106, 1031, 21001])).
% 78.78/50.66 tff(21108,plain,
% 78.78/50.66 (v127(constB161, bitIndex1)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21107, 21103])).
% 78.78/50.66 tff(21109,plain,
% 78.78/50.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21110,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 78.78/50.66 inference(quant_inst,[status(thm)],[])).
% 78.78/50.66 tff(21111,plain,
% 78.78/50.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 78.78/50.66 inference(modus_ponens,[status(thm)],[21110, 21109])).
% 78.78/50.66 tff(21112,plain,
% 78.78/50.66 ((~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21111, 1046, 21013])).
% 78.78/50.66 tff(21113,plain,
% 78.78/50.66 (v129(constB162, bitIndex1)),
% 78.78/50.66 inference(unit_resolution,[status(thm)],[21112, 21108])).
% 78.78/50.66 tff(21114,plain,
% 78.78/50.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21115,plain,
% 78.78/50.66 ((v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 78.78/50.66 inference(rewrite,[status(thm)],[])).
% 78.78/50.66 tff(21116,plain,
% 78.78/50.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))))),
% 78.78/50.66 inference(monotonicity,[status(thm)],[21115])).
% 78.78/50.66 tff(21117,plain,
% 78.78/50.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 78.78/50.67 inference(transitivity,[status(thm)],[21116, 21114])).
% 78.78/50.67 tff(21118,plain,
% 78.78/50.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21119,plain,
% 78.78/50.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 78.78/50.67 tff(21120,plain,
% 78.78/50.67 (v90(constB162, bitIndex1) | (~v100(constB162))),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21119, 1061, 21113])).
% 78.78/50.67 tff(21121,plain,
% 78.78/50.67 (v90(constB162, bitIndex1)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21120, 21047])).
% 78.78/50.67 tff(21122,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21123,plain,
% 78.78/50.67 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21124,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)))),
% 78.78/50.67 inference(monotonicity,[status(thm)],[21123])).
% 78.78/50.67 tff(21125,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 78.78/50.67 inference(transitivity,[status(thm)],[21124, 21122])).
% 78.78/50.67 tff(21126,plain,
% 78.78/50.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21127,plain,
% 78.78/50.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 78.78/50.67 tff(21128,plain,
% 78.78/50.67 ((~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21127, 1079, 21078])).
% 78.78/50.67 tff(21129,plain,
% 78.78/50.67 ((~v90(constB162, bitIndex1)) | v90(constB163, bitIndex1)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21128, 21090])).
% 78.78/50.67 tff(21130,plain,
% 78.78/50.67 (v90(constB163, bitIndex1)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21129, 21121])).
% 78.78/50.67 tff(21131,plain,
% 78.78/50.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21132,plain,
% 78.78/50.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21133,plain,
% 78.78/50.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0)),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21132, 21131])).
% 78.78/50.67 tff(21134,plain,
% 78.78/50.67 (v130(constB161, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21133, 1362, 20977])).
% 78.78/50.67 tff(21135,plain,
% 78.78/50.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21136,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21137,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21136, 21135])).
% 78.78/50.67 tff(21138,plain,
% 78.78/50.67 ((~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21137, 788, 21001])).
% 78.78/50.67 tff(21139,plain,
% 78.78/50.67 (v127(constB161, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21138, 21134])).
% 78.78/50.67 tff(21140,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21141,plain,
% 78.78/50.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21142,plain,
% 78.78/50.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21141, 21140])).
% 78.78/50.67 tff(21143,plain,
% 78.78/50.67 ((~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21142, 803, 21013])).
% 78.78/50.67 tff(21144,plain,
% 78.78/50.67 (v129(constB162, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21143, 21139])).
% 78.78/50.67 tff(21145,plain,
% 78.78/50.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21146,plain,
% 78.78/50.67 ((v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21147,plain,
% 78.78/50.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))))),
% 78.78/50.67 inference(monotonicity,[status(thm)],[21146])).
% 78.78/50.67 tff(21148,plain,
% 78.78/50.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 78.78/50.67 inference(transitivity,[status(thm)],[21147, 21145])).
% 78.78/50.67 tff(21149,plain,
% 78.78/50.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21150,plain,
% 78.78/50.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 78.78/50.67 tff(21151,plain,
% 78.78/50.67 (v90(constB162, bitIndex0) | (~v100(constB162))),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21150, 818, 21144])).
% 78.78/50.67 tff(21152,plain,
% 78.78/50.67 (v90(constB162, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21151, 21047])).
% 78.78/50.67 tff(21153,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21154,plain,
% 78.78/50.67 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21155,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)))),
% 78.78/50.67 inference(monotonicity,[status(thm)],[21154])).
% 78.78/50.67 tff(21156,plain,
% 78.78/50.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 78.78/50.67 inference(transitivity,[status(thm)],[21155, 21153])).
% 78.78/50.67 tff(21157,plain,
% 78.78/50.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21158,plain,
% 78.78/50.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 78.78/50.67 tff(21159,plain,
% 78.78/50.67 ((~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21158, 836, 21078])).
% 78.78/50.67 tff(21160,plain,
% 78.78/50.67 ((~v90(constB162, bitIndex0)) | v90(constB163, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21159, 21090])).
% 78.78/50.67 tff(21161,plain,
% 78.78/50.67 (v90(constB163, bitIndex0)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21160, 21152])).
% 78.78/50.67 tff(21162,plain,
% 78.78/50.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21163,plain,
% 78.78/50.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21164,plain,
% 78.78/50.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163)),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21163, 21162])).
% 78.78/50.67 tff(21165,plain,
% 78.78/50.67 (v122(constB163)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21164, 1403, 21161, 21130, 21099])).
% 78.78/50.67 tff(21166,plain,
% 78.78/50.67 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163)))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21167,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21168,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163))),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 78.78/50.67 tff(21169,plain,
% 78.78/50.67 (v116(constB163)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21168, 1470, 21165])).
% 78.78/50.67 tff(21170,plain,
% 78.78/50.67 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163)))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21171,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21172,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163))),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21171, 21170])).
% 78.78/50.67 tff(21173,plain,
% 78.78/50.67 (v115(constB163)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21172, 519, 21169])).
% 78.78/50.67 tff(21174,plain,
% 78.78/50.67 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163)))),
% 78.78/50.67 inference(rewrite,[status(thm)],[])).
% 78.78/50.67 tff(21175,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))),
% 78.78/50.67 inference(quant_inst,[status(thm)],[])).
% 78.78/50.67 tff(21176,plain,
% 78.78/50.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163))),
% 78.78/50.67 inference(modus_ponens,[status(thm)],[21175, 21174])).
% 78.78/50.67 tff(21177,plain,
% 78.78/50.67 (v114(constB163)),
% 78.78/50.67 inference(unit_resolution,[status(thm)],[21176, 530, 21173])).
% 78.78/50.67 tff(21178,plain,
% 78.78/50.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21179,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21180,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 78.78/50.68 tff(21181,plain,
% 78.78/50.68 (v113(constB163)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21180, 541, 21177])).
% 78.78/50.68 tff(21182,assumption,(v26(constB163)), introduced(assumption)).
% 78.78/50.68 tff(21183,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21184,plain,
% 78.78/50.68 ($false),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21183, 14, 21182])).
% 78.78/50.68 tff(21185,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.68 tff(21186,plain,
% 78.78/50.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21187,plain,
% 78.78/50.68 ((v26(constB163) | (~v113(constB163)) | v112(constB163)) <=> (v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21188,plain,
% 78.78/50.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163))))),
% 78.78/50.68 inference(monotonicity,[status(thm)],[21187])).
% 78.78/50.68 tff(21189,plain,
% 78.78/50.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 78.78/50.68 inference(transitivity,[status(thm)],[21188, 21186])).
% 78.78/50.68 tff(21190,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21191,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 78.78/50.68 tff(21192,plain,
% 78.78/50.68 (v112(constB163) | (~v113(constB163))),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21191, 555, 21185])).
% 78.78/50.68 tff(21193,plain,
% 78.78/50.68 (v112(constB163)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21192, 21181])).
% 78.78/50.68 tff(21194,plain,
% 78.78/50.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21195,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21196,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21195, 21194])).
% 78.78/50.68 tff(21197,plain,
% 78.78/50.68 (v108(constB163)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21196, 464, 21193])).
% 78.78/50.68 tff(21198,plain,
% 78.78/50.68 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21199,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 78.78/50.68 tff(21200,plain,
% 78.78/50.68 (nextState(constB163, constB164)),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 78.78/50.68 tff(21201,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21202,plain,
% 78.78/50.68 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21203,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 78.78/50.68 inference(monotonicity,[status(thm)],[21202])).
% 78.78/50.68 tff(21204,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 78.78/50.68 inference(transitivity,[status(thm)],[21203, 21201])).
% 78.78/50.68 tff(21205,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21206,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21205, 21204])).
% 78.78/50.68 tff(21207,plain,
% 78.78/50.68 (v110(constB164) | (~v108(constB163))),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21206, 571, 21200])).
% 78.78/50.68 tff(21208,plain,
% 78.78/50.68 (v110(constB164)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21207, 21197])).
% 78.78/50.68 tff(21209,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21210,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21211,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 78.78/50.68 tff(21212,plain,
% 78.78/50.68 (~v104(constB164)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21211, 589, 21200, 21075])).
% 78.78/50.68 tff(21213,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21214,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21215,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 78.78/50.68 tff(21216,plain,
% 78.78/50.68 (v102(constB164) | v104(constB164)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21215, 603, 21200])).
% 78.78/50.68 tff(21217,plain,
% 78.78/50.68 (v102(constB164)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21216, 21212])).
% 78.78/50.68 tff(21218,plain,
% 78.78/50.68 (v1(constB164) <=> v1(constB164)),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21219,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 78.78/50.68 tff(21220,plain,
% 78.78/50.68 (v1(constB164)),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 78.78/50.68 tff(21221,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21222,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21223,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 78.78/50.68 tff(21224,plain,
% 78.78/50.68 (v101(constB164) | (~v102(constB164))),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21223, 621, 21200, 21220])).
% 78.78/50.68 tff(21225,plain,
% 78.78/50.68 (v101(constB164)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21224, 21217])).
% 78.78/50.68 tff(21226,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21227,plain,
% 78.78/50.68 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21228,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 78.78/50.68 inference(monotonicity,[status(thm)],[21227])).
% 78.78/50.68 tff(21229,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 78.78/50.68 inference(transitivity,[status(thm)],[21228, 21226])).
% 78.78/50.68 tff(21230,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21231,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 78.78/50.68 tff(21232,plain,
% 78.78/50.68 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21231, 636, 21200])).
% 78.78/50.68 tff(21233,plain,
% 78.78/50.68 (v100(constB164) | (~v110(constB164))),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21232, 21225])).
% 78.78/50.68 tff(21234,plain,
% 78.78/50.68 (v100(constB164)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21233, 21208])).
% 78.78/50.68 tff(21235,plain,
% 78.78/50.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21236,plain,
% 78.78/50.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21237,plain,
% 78.78/50.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2)),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21236, 21235])).
% 78.78/50.68 tff(21238,plain,
% 78.78/50.68 (v130(constB163, bitIndex2)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21237, 1417, 21165])).
% 78.78/50.68 tff(21239,plain,
% 78.78/50.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21240,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21241,plain,
% 78.78/50.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21240, 21239])).
% 78.78/50.68 tff(21242,plain,
% 78.78/50.68 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21241, 1431, 21185])).
% 78.78/50.68 tff(21243,plain,
% 78.78/50.68 (v127(constB163, bitIndex2)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21242, 21238])).
% 78.78/50.68 tff(21244,plain,
% 78.78/50.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 78.78/50.68 inference(rewrite,[status(thm)],[])).
% 78.78/50.68 tff(21245,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 78.78/50.68 inference(quant_inst,[status(thm)],[])).
% 78.78/50.68 tff(21246,plain,
% 78.78/50.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 78.78/50.68 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 78.78/50.68 tff(21247,plain,
% 78.78/50.68 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21246, 1449, 21200])).
% 78.78/50.68 tff(21248,plain,
% 78.78/50.68 (v129(constB164, bitIndex2)),
% 78.78/50.68 inference(unit_resolution,[status(thm)],[21247, 21243])).
% 78.78/50.68 tff(21249,plain,
% 78.78/50.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21250,plain,
% 78.78/50.69 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21251,plain,
% 78.78/50.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 78.78/50.69 inference(monotonicity,[status(thm)],[21250])).
% 78.78/50.69 tff(21252,plain,
% 78.78/50.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 78.78/50.69 inference(transitivity,[status(thm)],[21251, 21249])).
% 78.78/50.69 tff(21253,plain,
% 78.78/50.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21254,plain,
% 78.78/50.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 78.78/50.69 tff(21255,plain,
% 78.78/50.69 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21254, 1539, 21248])).
% 78.78/50.69 tff(21256,plain,
% 78.78/50.69 (v90(constB164, bitIndex2)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21255, 21234])).
% 78.78/50.69 tff(21257,plain,
% 78.78/50.69 ((~v1(constB165)) <=> (~v1(constB165))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21258,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 78.78/50.69 tff(21259,plain,
% 78.78/50.69 (~v1(constB165)),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 78.78/50.69 tff(21260,plain,
% 78.78/50.69 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21261,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 78.78/50.69 tff(21262,plain,
% 78.78/50.69 (nextState(constB164, constB165)),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21261, 21260])).
% 78.78/50.69 tff(21263,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21264,plain,
% 78.78/50.69 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21265,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 78.78/50.69 inference(monotonicity,[status(thm)],[21264])).
% 78.78/50.69 tff(21266,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 78.78/50.69 inference(transitivity,[status(thm)],[21265, 21263])).
% 78.78/50.69 tff(21267,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21268,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21267, 21266])).
% 78.78/50.69 tff(21269,plain,
% 78.78/50.69 (~v101(constB165)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21268, 307, 21262, 21259])).
% 78.78/50.69 tff(21270,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21271,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21272,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 78.78/50.69 tff(21273,plain,
% 78.78/50.69 (v101(constB165) | (~v100(constB165))),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21272, 324, 21262])).
% 78.78/50.69 tff(21274,plain,
% 78.78/50.69 (~v100(constB165)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21273, 21269])).
% 78.78/50.69 tff(21275,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21276,plain,
% 78.78/50.69 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21277,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 78.78/50.69 inference(monotonicity,[status(thm)],[21276])).
% 78.78/50.69 tff(21278,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 78.78/50.69 inference(transitivity,[status(thm)],[21277, 21275])).
% 78.78/50.69 tff(21279,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21280,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 78.78/50.69 tff(21281,plain,
% 78.78/50.69 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21280, 1575, 21262])).
% 78.78/50.69 tff(21282,plain,
% 78.78/50.69 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21281, 21274])).
% 78.78/50.69 tff(21283,plain,
% 78.78/50.69 (v90(constB165, bitIndex2)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21282, 21256])).
% 78.78/50.69 tff(21284,plain,
% 78.78/50.69 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21285,plain,
% 78.78/50.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21286,plain,
% 78.78/50.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1))),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 78.78/50.69 tff(21287,plain,
% 78.78/50.69 (~v130(constB163, bitIndex1)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21286, 1594, 21165])).
% 78.78/50.69 tff(21288,plain,
% 78.78/50.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21289,plain,
% 78.78/50.69 ((v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1))) <=> ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21290,plain,
% 78.78/50.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)))),
% 78.78/50.69 inference(monotonicity,[status(thm)],[21289])).
% 78.78/50.69 tff(21291,plain,
% 78.78/50.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 78.78/50.69 inference(transitivity,[status(thm)],[21290, 21288])).
% 78.78/50.69 tff(21292,plain,
% 78.78/50.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21293,plain,
% 78.78/50.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21292, 21291])).
% 78.78/50.69 tff(21294,plain,
% 78.78/50.69 ((~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21293, 714, 21185])).
% 78.78/50.69 tff(21295,plain,
% 78.78/50.69 (~v127(constB163, bitIndex1)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21294, 21287])).
% 78.78/50.69 tff(21296,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21297,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21298,plain,
% 78.78/50.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21297, 21296])).
% 78.78/50.69 tff(21299,plain,
% 78.78/50.69 (v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21298, 732, 21200])).
% 78.78/50.69 tff(21300,plain,
% 78.78/50.69 (~v129(constB164, bitIndex1)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21299, 21295])).
% 78.78/50.69 tff(21301,plain,
% 78.78/50.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21302,plain,
% 78.78/50.69 (((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 78.78/50.69 inference(rewrite,[status(thm)],[])).
% 78.78/50.69 tff(21303,plain,
% 78.78/50.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))))),
% 78.78/50.69 inference(monotonicity,[status(thm)],[21302])).
% 78.78/50.69 tff(21304,plain,
% 78.78/50.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 78.78/50.69 inference(transitivity,[status(thm)],[21303, 21301])).
% 78.78/50.69 tff(21305,plain,
% 78.78/50.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))),
% 78.78/50.69 inference(quant_inst,[status(thm)],[])).
% 78.78/50.69 tff(21306,plain,
% 78.78/50.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))),
% 78.78/50.69 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 78.78/50.69 tff(21307,plain,
% 78.78/50.69 ((~v90(constB164, bitIndex1)) | (~v100(constB164))),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21306, 747, 21300])).
% 78.78/50.69 tff(21308,plain,
% 78.78/50.69 (~v90(constB164, bitIndex1)),
% 78.78/50.69 inference(unit_resolution,[status(thm)],[21307, 21234])).
% 78.78/50.69 tff(21309,plain,
% 78.78/50.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21310,plain,
% 78.78/50.70 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21311,plain,
% 78.78/50.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))))),
% 78.78/50.70 inference(monotonicity,[status(thm)],[21310])).
% 78.78/50.70 tff(21312,plain,
% 78.78/50.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 78.78/50.70 inference(transitivity,[status(thm)],[21311, 21309])).
% 78.78/50.70 tff(21313,plain,
% 78.78/50.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 78.78/50.70 inference(quant_inst,[status(thm)],[])).
% 78.78/50.70 tff(21314,plain,
% 78.78/50.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 78.78/50.70 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 78.78/50.70 tff(21315,plain,
% 78.78/50.70 (v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21314, 360, 21262])).
% 78.78/50.70 tff(21316,plain,
% 78.78/50.70 (v90(constB164, bitIndex1) | (~v90(constB165, bitIndex1))),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21315, 21274])).
% 78.78/50.70 tff(21317,plain,
% 78.78/50.70 (~v90(constB165, bitIndex1)),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21316, 21308])).
% 78.78/50.70 tff(21318,plain,
% 78.78/50.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21319,plain,
% 78.78/50.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 78.78/50.70 inference(quant_inst,[status(thm)],[])).
% 78.78/50.70 tff(21320,plain,
% 78.78/50.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0))),
% 78.78/50.70 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 78.78/50.70 tff(21321,plain,
% 78.78/50.70 (~v130(constB163, bitIndex0)),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21320, 1638, 21165])).
% 78.78/50.70 tff(21322,plain,
% 78.78/50.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21323,plain,
% 78.78/50.70 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21324,plain,
% 78.78/50.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 78.78/50.70 inference(monotonicity,[status(thm)],[21323])).
% 78.78/50.70 tff(21325,plain,
% 78.78/50.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 78.78/50.70 inference(transitivity,[status(thm)],[21324, 21322])).
% 78.78/50.70 tff(21326,plain,
% 78.78/50.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 78.78/50.70 inference(quant_inst,[status(thm)],[])).
% 78.78/50.70 tff(21327,plain,
% 78.78/50.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 78.78/50.70 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 78.78/50.70 tff(21328,plain,
% 78.78/50.70 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21327, 1112, 21185])).
% 78.78/50.70 tff(21329,plain,
% 78.78/50.70 (~v127(constB163, bitIndex0)),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21328, 21321])).
% 78.78/50.70 tff(21330,plain,
% 78.78/50.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21331,plain,
% 78.78/50.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 78.78/50.70 inference(quant_inst,[status(thm)],[])).
% 78.78/50.70 tff(21332,plain,
% 78.78/50.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 78.78/50.70 inference(modus_ponens,[status(thm)],[21331, 21330])).
% 78.78/50.70 tff(21333,plain,
% 78.78/50.70 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21332, 1130, 21200])).
% 78.78/50.70 tff(21334,plain,
% 78.78/50.70 (~v129(constB164, bitIndex0)),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21333, 21329])).
% 78.78/50.70 tff(21335,plain,
% 78.78/50.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21336,plain,
% 78.78/50.70 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21337,plain,
% 78.78/50.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 78.78/50.70 inference(monotonicity,[status(thm)],[21336])).
% 78.78/50.70 tff(21338,plain,
% 78.78/50.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 78.78/50.70 inference(transitivity,[status(thm)],[21337, 21335])).
% 78.78/50.70 tff(21339,plain,
% 78.78/50.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 78.78/50.70 inference(quant_inst,[status(thm)],[])).
% 78.78/50.70 tff(21340,plain,
% 78.78/50.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 78.78/50.70 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 78.78/50.70 tff(21341,plain,
% 78.78/50.70 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21340, 1145, 21334])).
% 78.78/50.70 tff(21342,plain,
% 78.78/50.70 (~v90(constB164, bitIndex0)),
% 78.78/50.70 inference(unit_resolution,[status(thm)],[21341, 21234])).
% 78.78/50.70 tff(21343,plain,
% 78.78/50.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21344,plain,
% 78.78/50.70 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 78.78/50.70 inference(rewrite,[status(thm)],[])).
% 78.78/50.70 tff(21345,plain,
% 78.78/50.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 78.78/50.70 inference(monotonicity,[status(thm)],[21344])).
% 78.78/50.70 tff(21346,plain,
% 78.78/50.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 78.78/50.70 inference(transitivity,[status(thm)],[21345, 21343])).
% 78.78/50.70 tff(21347,plain,
% 78.78/50.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 78.78/50.70 inference(quant_inst,[status(thm)],[])).
% 78.78/50.70 tff(21348,plain,
% 78.78/50.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 78.78/50.70 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 78.78/50.70 tff(21349,plain,
% 78.78/50.70 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21348, 381, 21262])).
% 78.78/50.71 tff(21350,plain,
% 78.78/50.71 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21349, 21274])).
% 78.78/50.71 tff(21351,plain,
% 78.78/50.71 (~v90(constB165, bitIndex0)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21350, 21342])).
% 78.78/50.71 tff(21352,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21353,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21354,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21353, 21352])).
% 78.78/50.71 tff(21355,plain,
% 78.78/50.71 (v123(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21354, 1682, 21351, 21317, 21283])).
% 78.78/50.71 tff(21356,plain,
% 78.78/50.71 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21357,plain,
% 78.78/50.71 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21358,plain,
% 78.78/50.71 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 78.78/50.71 tff(21359,plain,
% 78.78/50.71 (~v130(constB165, bitIndex1)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21358, 1765, 21355])).
% 78.78/50.71 tff(21360,assumption,(v26(constB165)), introduced(assumption)).
% 78.78/50.71 tff(21361,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21362,plain,
% 78.78/50.71 ($false),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21361, 14, 21360])).
% 78.78/50.71 tff(21363,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 78.78/50.71 tff(21364,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21365,plain,
% 78.78/50.71 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21366,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 78.78/50.71 inference(monotonicity,[status(thm)],[21365])).
% 78.78/50.71 tff(21367,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 78.78/50.71 inference(transitivity,[status(thm)],[21366, 21364])).
% 78.78/50.71 tff(21368,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21369,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21368, 21367])).
% 78.78/50.71 tff(21370,plain,
% 78.78/50.71 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21369, 714, 21363])).
% 78.78/50.71 tff(21371,plain,
% 78.78/50.71 (~v127(constB165, bitIndex1)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21370, 21359])).
% 78.78/50.71 tff(21372,plain,
% 78.78/50.71 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21373,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 78.78/50.71 tff(21374,plain,
% 78.78/50.71 (nextState(constB165, constB166)),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21373, 21372])).
% 78.78/50.71 tff(21375,plain,
% 78.78/50.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21376,plain,
% 78.78/50.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21377,plain,
% 78.78/50.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21376, 21375])).
% 78.78/50.71 tff(21378,plain,
% 78.78/50.71 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21377, 732, 21374])).
% 78.78/50.71 tff(21379,plain,
% 78.78/50.71 (~v129(constB166, bitIndex1)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21378, 21371])).
% 78.78/50.71 tff(21380,assumption,(~v90(constB166, bitIndex0)), introduced(assumption)).
% 78.78/50.71 tff(21381,assumption,(~v100(constB166)), introduced(assumption)).
% 78.78/50.71 tff(21382,plain,
% 78.78/50.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB165, bitIndex0)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB165, bitIndex0)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex0))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21383,plain,
% 78.78/50.71 (((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex0)) | v100(constB166) | v90(constB166, bitIndex0)) <=> ((~v90(constB165, bitIndex0)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex0))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21384,plain,
% 78.78/50.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex0)) | v100(constB166) | v90(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB165, bitIndex0)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex0)))),
% 78.78/50.71 inference(monotonicity,[status(thm)],[21383])).
% 78.78/50.71 tff(21385,plain,
% 78.78/50.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex0)) | v100(constB166) | v90(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB165, bitIndex0)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex0))),
% 78.78/50.71 inference(transitivity,[status(thm)],[21384, 21382])).
% 78.78/50.71 tff(21386,plain,
% 78.78/50.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex0)) | v100(constB166) | v90(constB166, bitIndex0))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21387,plain,
% 78.78/50.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB165, bitIndex0)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex0)),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21386, 21385])).
% 78.78/50.71 tff(21388,plain,
% 78.78/50.71 ((~v90(constB165, bitIndex0)) | v100(constB166) | v90(constB166, bitIndex0)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21387, 836, 21374])).
% 78.78/50.71 tff(21389,plain,
% 78.78/50.71 (~v90(constB165, bitIndex0)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21388, 21381, 21380])).
% 78.78/50.71 tff(21390,assumption,(~v90(constB165, bitIndex1)), introduced(assumption)).
% 78.78/50.71 tff(21391,assumption,(~v90(constB165, bitIndex0)), introduced(assumption)).
% 78.78/50.71 tff(21392,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB165, bitIndex0) | (~v120(constB165)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB165, bitIndex0) | (~v120(constB165)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21393,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB165, bitIndex0) | (~v120(constB165)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21394,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB165, bitIndex0) | (~v120(constB165))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21393, 21392])).
% 78.78/50.71 tff(21395,plain,
% 78.78/50.71 (~v120(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21394, 7524, 21391])).
% 78.78/50.71 tff(21396,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB165, bitIndex0) | (~v122(constB165)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB165, bitIndex0) | (~v122(constB165)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21397,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB165, bitIndex0) | (~v122(constB165)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21398,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB165, bitIndex0) | (~v122(constB165))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21397, 21396])).
% 78.78/50.71 tff(21399,plain,
% 78.78/50.71 (~v122(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21398, 7632, 21391])).
% 78.78/50.71 tff(21400,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB165, bitIndex0) | (~v124(constB165)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB165, bitIndex0) | (~v124(constB165)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21401,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB165, bitIndex0) | (~v124(constB165)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21402,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB165, bitIndex0) | (~v124(constB165))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21401, 21400])).
% 78.78/50.71 tff(21403,plain,
% 78.78/50.71 (~v124(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21402, 7487, 21391])).
% 78.78/50.71 tff(21404,plain,
% 78.78/50.71 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v121(VarCurr))))),
% 78.78/50.71 inference(bind,[status(th)],[])).
% 78.78/50.71 tff(21405,plain,
% 78.78/50.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 78.78/50.71 inference(quant_intro,[status(thm)],[21404])).
% 78.78/50.71 tff(21406,plain,
% 78.78/50.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21407,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 78.78/50.71 tff(21408,plain,
% 78.78/50.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21407, 21406])).
% 78.78/50.71 tff(21409,plain,(
% 78.78/50.71 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 78.78/50.71 inference(skolemize,[status(sab)],[21408])).
% 78.78/50.71 tff(21410,plain,
% 78.78/50.71 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21409, 21405])).
% 78.78/50.71 tff(21411,plain,
% 78.78/50.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB165, bitIndex1) | (~v121(constB165)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB165, bitIndex1) | (~v121(constB165)))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21412,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB165, bitIndex1) | (~v121(constB165)))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21413,plain,
% 78.78/50.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB165, bitIndex1) | (~v121(constB165))),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 78.78/50.71 tff(21414,plain,
% 78.78/50.71 (~v121(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21413, 21410, 21390])).
% 78.78/50.71 tff(21415,assumption,(~v130(constB165, bitIndex0)), introduced(assumption)).
% 78.78/50.71 tff(21416,assumption,(~v121(constB165)), introduced(assumption)).
% 78.78/50.71 tff(21417,plain,
% 78.78/50.71 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21418,plain,
% 78.78/50.71 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21419,plain,
% 78.78/50.71 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0)),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 78.78/50.71 tff(21420,plain,
% 78.78/50.71 (~v123(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21419, 1836, 21415])).
% 78.78/50.71 tff(21421,plain,
% 78.78/50.71 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB165)) | v130(constB165, bitIndex0))),
% 78.78/50.71 inference(rewrite,[status(thm)],[])).
% 78.78/50.71 tff(21422,plain,
% 78.78/50.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB165)) | v130(constB165, bitIndex0))),
% 78.78/50.71 inference(quant_inst,[status(thm)],[])).
% 78.78/50.71 tff(21423,plain,
% 78.78/50.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB165)) | v130(constB165, bitIndex0)),
% 78.78/50.71 inference(modus_ponens,[status(thm)],[21422, 21421])).
% 78.78/50.71 tff(21424,plain,
% 78.78/50.71 (~v119(constB165)),
% 78.78/50.71 inference(unit_resolution,[status(thm)],[21423, 774, 21415])).
% 78.78/50.71 tff(21425,assumption,(~v120(constB165)), introduced(assumption)).
% 78.78/50.71 tff(21426,assumption,(~v122(constB165)), introduced(assumption)).
% 78.78/50.71 tff(21427,assumption,(~v124(constB165)), introduced(assumption)).
% 78.88/50.72 tff(21428,plain,
% 78.88/50.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21429,plain,
% 78.88/50.72 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0)) <=> (v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21430,plain,
% 78.88/50.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165)))),
% 78.88/50.72 inference(monotonicity,[status(thm)],[21429])).
% 78.88/50.72 tff(21431,plain,
% 78.88/50.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165))),
% 78.88/50.72 inference(transitivity,[status(thm)],[21430, 21428])).
% 78.88/50.72 tff(21432,plain,
% 78.88/50.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 78.88/50.72 inference(quant_inst,[status(thm)],[])).
% 78.88/50.72 tff(21433,plain,
% 78.88/50.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165)),
% 78.88/50.72 inference(modus_ponens,[status(thm)],[21432, 21431])).
% 78.88/50.72 tff(21434,plain,
% 78.88/50.72 (v130(constB165, bitIndex0) | v119(constB165) | v121(constB165) | v123(constB165)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21433, 2402, 21427, 21426, 21425])).
% 78.88/50.72 tff(21435,plain,
% 78.88/50.72 ($false),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21434, 21424, 21420, 21416, 21415])).
% 78.88/50.72 tff(21436,plain,(v130(constB165, bitIndex0) | v121(constB165) | v124(constB165) | v122(constB165) | v120(constB165)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.72 tff(21437,plain,
% 78.88/50.72 (v130(constB165, bitIndex0)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21436, 21414, 21403, 21399, 21395])).
% 78.88/50.72 tff(21438,plain,
% 78.88/50.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21439,plain,
% 78.88/50.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 78.88/50.72 inference(quant_inst,[status(thm)],[])).
% 78.88/50.72 tff(21440,plain,
% 78.88/50.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 78.88/50.72 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 78.88/50.72 tff(21441,plain,
% 78.88/50.72 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21440, 788, 21363])).
% 78.88/50.72 tff(21442,plain,
% 78.88/50.72 (v127(constB165, bitIndex0)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21441, 21437])).
% 78.88/50.72 tff(21443,plain,
% 78.88/50.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21444,plain,
% 78.88/50.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 78.88/50.72 inference(quant_inst,[status(thm)],[])).
% 78.88/50.72 tff(21445,plain,
% 78.88/50.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 78.88/50.72 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 78.88/50.72 tff(21446,plain,
% 78.88/50.72 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21445, 803, 21374])).
% 78.88/50.72 tff(21447,plain,
% 78.88/50.72 (v129(constB166, bitIndex0)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21446, 21442])).
% 78.88/50.72 tff(21448,plain,
% 78.88/50.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21449,plain,
% 78.88/50.72 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21450,plain,
% 78.88/50.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 78.88/50.72 inference(monotonicity,[status(thm)],[21449])).
% 78.88/50.72 tff(21451,plain,
% 78.88/50.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 78.88/50.72 inference(transitivity,[status(thm)],[21450, 21448])).
% 78.88/50.72 tff(21452,plain,
% 78.88/50.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 78.88/50.72 inference(quant_inst,[status(thm)],[])).
% 78.88/50.72 tff(21453,plain,
% 78.88/50.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 78.88/50.72 inference(modus_ponens,[status(thm)],[21452, 21451])).
% 78.88/50.72 tff(21454,plain,
% 78.88/50.72 ((~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21453, 818, 21380])).
% 78.88/50.72 tff(21455,plain,
% 78.88/50.72 (~v100(constB166)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21454, 21447])).
% 78.88/50.72 tff(21456,assumption,(~v90(constB166, bitIndex2)), introduced(assumption)).
% 78.88/50.72 tff(21457,plain,
% 78.88/50.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21458,plain,
% 78.88/50.72 (((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2)) <=> ((~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21459,plain,
% 78.88/50.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2)))),
% 78.88/50.72 inference(monotonicity,[status(thm)],[21458])).
% 78.88/50.72 tff(21460,plain,
% 78.88/50.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))),
% 78.88/50.72 inference(transitivity,[status(thm)],[21459, 21457])).
% 78.88/50.72 tff(21461,plain,
% 78.88/50.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2))),
% 78.88/50.72 inference(quant_inst,[status(thm)],[])).
% 78.88/50.72 tff(21462,plain,
% 78.88/50.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2)),
% 78.88/50.72 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 78.88/50.72 tff(21463,plain,
% 78.88/50.72 ((~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21462, 1575, 21374])).
% 78.88/50.72 tff(21464,plain,
% 78.88/50.72 (~v90(constB165, bitIndex2)),
% 78.88/50.72 inference(unit_resolution,[status(thm)],[21463, 21381, 21456])).
% 78.88/50.72 tff(21465,plain,
% 78.88/50.72 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))),
% 78.88/50.72 inference(rewrite,[status(thm)],[])).
% 78.88/50.72 tff(21466,plain,
% 78.88/50.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21467,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21466, 21465])).
% 78.88/50.73 tff(21468,plain,
% 78.88/50.73 (v119(constB165) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21467, 402, 21391])).
% 78.88/50.73 tff(21469,plain,
% 78.88/50.73 (v119(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21468, 21464, 21390])).
% 78.88/50.73 tff(21470,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB165) | (~v119(constB165)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB165) | (~v119(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21471,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB165) | (~v119(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21472,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB165) | (~v119(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21471, 21470])).
% 78.88/50.73 tff(21473,plain,
% 78.88/50.73 (v118(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21472, 486, 21469])).
% 78.88/50.73 tff(21474,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB165) | (~v118(constB165)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB165) | (~v118(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21475,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB165) | (~v118(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21476,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB165) | (~v118(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 78.88/50.73 tff(21477,plain,
% 78.88/50.73 (v117(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21476, 497, 21473])).
% 78.88/50.73 tff(21478,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB165) | (~v117(constB165)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB165) | (~v117(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21479,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB165) | (~v117(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21480,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB165) | (~v117(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 78.88/50.73 tff(21481,plain,
% 78.88/50.73 (v116(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21480, 508, 21477])).
% 78.88/50.73 tff(21482,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21483,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21484,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21483, 21482])).
% 78.88/50.73 tff(21485,plain,
% 78.88/50.73 (~v104(constB166)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21484, 589, 21374, 21259])).
% 78.88/50.73 tff(21486,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21487,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21488,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 78.88/50.73 tff(21489,plain,
% 78.88/50.73 (v102(constB166) | v104(constB166)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21488, 603, 21374])).
% 78.88/50.73 tff(21490,plain,
% 78.88/50.73 (v102(constB166)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21489, 21485])).
% 78.88/50.73 tff(21491,plain,
% 78.88/50.73 (v1(constB166) <=> v1(constB166)),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21492,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 78.88/50.73 tff(21493,plain,
% 78.88/50.73 (v1(constB166)),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 78.88/50.73 tff(21494,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21495,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21496,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21495, 21494])).
% 78.88/50.73 tff(21497,plain,
% 78.88/50.73 (v101(constB166) | (~v102(constB166))),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21496, 621, 21374, 21493])).
% 78.88/50.73 tff(21498,plain,
% 78.88/50.73 (v101(constB166)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21497, 21490])).
% 78.88/50.73 tff(21499,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21500,plain,
% 78.88/50.73 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21501,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 78.88/50.73 inference(monotonicity,[status(thm)],[21500])).
% 78.88/50.73 tff(21502,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 78.88/50.73 inference(transitivity,[status(thm)],[21501, 21499])).
% 78.88/50.73 tff(21503,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21504,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 78.88/50.73 tff(21505,plain,
% 78.88/50.73 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21504, 636, 21374])).
% 78.88/50.73 tff(21506,plain,
% 78.88/50.73 (v100(constB166) | (~v110(constB166))),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21505, 21498])).
% 78.88/50.73 tff(21507,plain,
% 78.88/50.73 (~v110(constB166)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21506, 21381])).
% 78.88/50.73 tff(21508,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21509,plain,
% 78.88/50.73 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21510,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 78.88/50.73 inference(monotonicity,[status(thm)],[21509])).
% 78.88/50.73 tff(21511,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 78.88/50.73 inference(transitivity,[status(thm)],[21510, 21508])).
% 78.88/50.73 tff(21512,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21513,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 78.88/50.73 tff(21514,plain,
% 78.88/50.73 (v110(constB166) | (~v108(constB165))),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21513, 571, 21374])).
% 78.88/50.73 tff(21515,plain,
% 78.88/50.73 (~v108(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21514, 21507])).
% 78.88/50.73 tff(21516,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21517,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21518,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21517, 21516])).
% 78.88/50.73 tff(21519,plain,
% 78.88/50.73 (~v112(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21518, 464, 21515])).
% 78.88/50.73 tff(21520,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21521,plain,
% 78.88/50.73 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21522,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165))))),
% 78.88/50.73 inference(monotonicity,[status(thm)],[21521])).
% 78.88/50.73 tff(21523,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 78.88/50.73 inference(transitivity,[status(thm)],[21522, 21520])).
% 78.88/50.73 tff(21524,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21525,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 78.88/50.73 tff(21526,plain,
% 78.88/50.73 (v112(constB165) | (~v113(constB165))),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21525, 555, 21363])).
% 78.88/50.73 tff(21527,plain,
% 78.88/50.73 (~v113(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21526, 21519])).
% 78.88/50.73 tff(21528,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21529,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21530,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21529, 21528])).
% 78.88/50.73 tff(21531,plain,
% 78.88/50.73 (~v114(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21530, 541, 21527])).
% 78.88/50.73 tff(21532,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21533,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21534,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21533, 21532])).
% 78.88/50.73 tff(21535,plain,
% 78.88/50.73 (~v115(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21534, 530, 21531])).
% 78.88/50.73 tff(21536,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB165) | (~v116(constB165)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB165) | (~v116(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21537,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB165) | (~v116(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21538,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB165) | (~v116(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 78.88/50.73 tff(21539,plain,
% 78.88/50.73 ($false),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21538, 519, 21535, 21481])).
% 78.88/50.73 tff(21540,plain,(v100(constB166) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | v90(constB166, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.73 tff(21541,plain,
% 78.88/50.73 (v90(constB166, bitIndex2)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21540, 21455, 21391, 21390])).
% 78.88/50.73 tff(21542,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB165, bitIndex2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB165, bitIndex2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex2)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21543,plain,
% 78.88/50.73 (((~nextState(constB165, constB166)) | v90(constB165, bitIndex2) | v100(constB166) | (~v90(constB166, bitIndex2))) <=> (v90(constB165, bitIndex2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex2)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21544,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v90(constB165, bitIndex2) | v100(constB166) | (~v90(constB166, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB165, bitIndex2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex2))))),
% 78.88/50.73 inference(monotonicity,[status(thm)],[21543])).
% 78.88/50.73 tff(21545,plain,
% 78.88/50.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v90(constB165, bitIndex2) | v100(constB166) | (~v90(constB166, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB165, bitIndex2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex2)))),
% 78.88/50.73 inference(transitivity,[status(thm)],[21544, 21542])).
% 78.88/50.73 tff(21546,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v90(constB165, bitIndex2) | v100(constB166) | (~v90(constB166, bitIndex2)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21547,plain,
% 78.88/50.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB165, bitIndex2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex2))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 78.88/50.73 tff(21548,plain,
% 78.88/50.73 (v90(constB165, bitIndex2) | v100(constB166) | (~v90(constB166, bitIndex2))),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21547, 339, 21374])).
% 78.88/50.73 tff(21549,plain,
% 78.88/50.73 (v90(constB165, bitIndex2)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21548, 21541, 21455])).
% 78.88/50.73 tff(21550,plain,
% 78.88/50.73 (v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21354, 1682, 21391])).
% 78.88/50.73 tff(21551,plain,
% 78.88/50.73 (v123(constB165)),
% 78.88/50.73 inference(unit_resolution,[status(thm)],[21550, 21549, 21390])).
% 78.88/50.73 tff(21552,plain,
% 78.88/50.73 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165)))),
% 78.88/50.73 inference(rewrite,[status(thm)],[])).
% 78.88/50.73 tff(21553,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))),
% 78.88/50.73 inference(quant_inst,[status(thm)],[])).
% 78.88/50.73 tff(21554,plain,
% 78.88/50.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165))),
% 78.88/50.73 inference(modus_ponens,[status(thm)],[21553, 21552])).
% 78.88/50.74 tff(21555,plain,
% 78.88/50.74 (v115(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21554, 1693, 21551])).
% 78.88/50.74 tff(21556,plain,
% 78.88/50.74 (v114(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21534, 530, 21555])).
% 78.88/50.74 tff(21557,plain,
% 78.88/50.74 (~v110(constB166)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21506, 21455])).
% 78.88/50.74 tff(21558,plain,
% 78.88/50.74 (~v108(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21514, 21557])).
% 78.88/50.74 tff(21559,plain,
% 78.88/50.74 (~v112(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21518, 464, 21558])).
% 78.88/50.74 tff(21560,plain,
% 78.88/50.74 (~v113(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21526, 21559])).
% 78.88/50.74 tff(21561,plain,
% 78.88/50.74 ($false),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21530, 541, 21560, 21556])).
% 78.88/50.74 tff(21562,plain,(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | v90(constB166, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.74 tff(21563,plain,
% 78.88/50.74 (v90(constB165, bitIndex1)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21562, 21389, 21380])).
% 78.88/50.74 tff(21564,assumption,(v121(constB165)), introduced(assumption)).
% 78.88/50.74 tff(21565,plain,
% 78.88/50.74 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB165)) | v130(constB165, bitIndex0))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21566,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB165)) | v130(constB165, bitIndex0))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21567,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB165)) | v130(constB165, bitIndex0)),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21566, 21565])).
% 78.88/50.74 tff(21568,plain,
% 78.88/50.74 (v130(constB165, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21567, 1362, 21564])).
% 78.88/50.74 tff(21569,plain,
% 78.88/50.74 (v127(constB165, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21441, 21568])).
% 78.88/50.74 tff(21570,plain,
% 78.88/50.74 (v129(constB166, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21446, 21569])).
% 78.88/50.74 tff(21571,plain,
% 78.88/50.74 (~v100(constB166)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21454, 21570])).
% 78.88/50.74 tff(21572,plain,
% 78.88/50.74 (~v110(constB166)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21506, 21571])).
% 78.88/50.74 tff(21573,plain,
% 78.88/50.74 (~v108(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21514, 21572])).
% 78.88/50.74 tff(21574,plain,
% 78.88/50.74 (~v112(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21518, 464, 21573])).
% 78.88/50.74 tff(21575,plain,
% 78.88/50.74 (~v113(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21526, 21574])).
% 78.88/50.74 tff(21576,plain,
% 78.88/50.74 (~v114(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21530, 541, 21575])).
% 78.88/50.74 tff(21577,plain,
% 78.88/50.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB165) | (~v121(constB165)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB165) | (~v121(constB165)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21578,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB165) | (~v121(constB165)))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21579,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB165) | (~v121(constB165))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21578, 21577])).
% 78.88/50.74 tff(21580,plain,
% 78.88/50.74 (v117(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21579, 1183, 21564])).
% 78.88/50.74 tff(21581,plain,
% 78.88/50.74 (v116(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21480, 508, 21580])).
% 78.88/50.74 tff(21582,plain,
% 78.88/50.74 (v115(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21538, 519, 21581])).
% 78.88/50.74 tff(21583,plain,
% 78.88/50.74 ($false),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21534, 530, 21582, 21576])).
% 78.88/50.74 tff(21584,plain,((~v121(constB165)) | v90(constB166, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.74 tff(21585,plain,
% 78.88/50.74 (~v121(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21584, 21380])).
% 78.88/50.74 tff(21586,plain,
% 78.88/50.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex2) | v121(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex2) | v121(constB165))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21587,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex2) | v121(constB165))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21588,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex2) | v121(constB165)),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21587, 21586])).
% 78.88/50.74 tff(21589,plain,
% 78.88/50.74 (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex2)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21588, 1172, 21585])).
% 78.88/50.74 tff(21590,plain,
% 78.88/50.74 (v90(constB165, bitIndex2)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21589, 21563, 21389])).
% 78.88/50.74 tff(21591,plain,
% 78.88/50.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21592,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21593,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165)),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21592, 21591])).
% 78.88/50.74 tff(21594,plain,
% 78.88/50.74 (v125(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21593, 2156, 21389, 21563, 21590])).
% 78.88/50.74 tff(21595,plain,
% 78.88/50.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB165) | (~v125(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB165) | (~v125(constB165)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21596,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB165) | (~v125(constB165)))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21597,plain,
% 78.88/50.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB165) | (~v125(constB165))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21596, 21595])).
% 78.88/50.74 tff(21598,plain,
% 78.88/50.74 ($false),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21597, 2167, 21527, 21594])).
% 78.88/50.74 tff(21599,plain,(v100(constB166) | v90(constB166, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.74 tff(21600,plain,
% 78.88/50.74 (v100(constB166)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21599, 21380])).
% 78.88/50.74 tff(21601,plain,
% 78.88/50.74 (~v129(constB166, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21454, 21600])).
% 78.88/50.74 tff(21602,plain,
% 78.88/50.74 (~v127(constB165, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21446, 21601])).
% 78.88/50.74 tff(21603,plain,
% 78.88/50.74 (~v130(constB165, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21441, 21602])).
% 78.88/50.74 tff(21604,plain,
% 78.88/50.74 (~v123(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21419, 1836, 21603])).
% 78.88/50.74 tff(21605,plain,
% 78.88/50.74 (~v119(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21423, 774, 21603])).
% 78.88/50.74 tff(21606,plain,
% 78.88/50.74 (v90(constB165, bitIndex1)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21562, 21391, 21380])).
% 78.88/50.74 tff(21607,plain,
% 78.88/50.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v120(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v120(constB165)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21608,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v120(constB165)))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21609,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v120(constB165))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 78.88/50.74 tff(21610,plain,
% 78.88/50.74 (~v120(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21609, 2254, 21606])).
% 78.88/50.74 tff(21611,plain,
% 78.88/50.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v124(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v124(constB165)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21612,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v124(constB165)))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21613,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v124(constB165))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21612, 21611])).
% 78.88/50.74 tff(21614,plain,
% 78.88/50.74 (~v124(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21613, 2276, 21606])).
% 78.88/50.74 tff(21615,plain,
% 78.88/50.74 (v90(constB165, bitIndex2)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21589, 21606, 21391])).
% 78.88/50.74 tff(21616,plain,
% 78.88/50.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v122(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v122(constB165)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21617,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v122(constB165)))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21618,plain,
% 78.88/50.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v122(constB165))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 78.88/50.74 tff(21619,plain,
% 78.88/50.74 (~v122(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21618, 2229, 21615])).
% 78.88/50.74 tff(21620,plain,
% 78.88/50.74 (v130(constB165, bitIndex0) | v124(constB165) | v120(constB165) | v119(constB165) | v122(constB165) | v123(constB165)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21433, 2402, 21585])).
% 78.88/50.74 tff(21621,plain,
% 78.88/50.74 ($false),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21620, 21619, 21614, 21603, 21610, 21605, 21604])).
% 78.88/50.74 tff(21622,plain,(v90(constB165, bitIndex0) | v90(constB166, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.74 tff(21623,plain,
% 78.88/50.74 (v90(constB166, bitIndex0)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21622, 21351])).
% 78.88/50.74 tff(21624,plain,
% 78.88/50.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex0)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21625,plain,
% 78.88/50.74 (((~nextState(constB165, constB166)) | v90(constB165, bitIndex0) | v100(constB166) | (~v90(constB166, bitIndex0))) <=> (v90(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex0)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21626,plain,
% 78.88/50.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB165, constB166)) | v90(constB165, bitIndex0) | v100(constB166) | (~v90(constB166, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex0))))),
% 78.88/50.74 inference(monotonicity,[status(thm)],[21625])).
% 78.88/50.74 tff(21627,plain,
% 78.88/50.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB165, constB166)) | v90(constB165, bitIndex0) | v100(constB166) | (~v90(constB166, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex0)))),
% 78.88/50.74 inference(transitivity,[status(thm)],[21626, 21624])).
% 78.88/50.74 tff(21628,plain,
% 78.88/50.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB165, constB166)) | v90(constB165, bitIndex0) | v100(constB166) | (~v90(constB166, bitIndex0)))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21629,plain,
% 78.88/50.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, bitIndex0))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 78.88/50.74 tff(21630,plain,
% 78.88/50.74 (v90(constB165, bitIndex0) | v100(constB166) | (~v90(constB166, bitIndex0))),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21629, 381, 21374])).
% 78.88/50.74 tff(21631,plain,
% 78.88/50.74 (v100(constB166)),
% 78.88/50.74 inference(unit_resolution,[status(thm)],[21630, 21623, 21351])).
% 78.88/50.74 tff(21632,plain,
% 78.88/50.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21633,plain,
% 78.88/50.74 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 78.88/50.74 inference(rewrite,[status(thm)],[])).
% 78.88/50.74 tff(21634,plain,
% 78.88/50.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 78.88/50.74 inference(monotonicity,[status(thm)],[21633])).
% 78.88/50.74 tff(21635,plain,
% 78.88/50.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 78.88/50.74 inference(transitivity,[status(thm)],[21634, 21632])).
% 78.88/50.74 tff(21636,plain,
% 78.88/50.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 78.88/50.74 inference(quant_inst,[status(thm)],[])).
% 78.88/50.74 tff(21637,plain,
% 78.88/50.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 78.88/50.74 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 78.88/50.75 tff(21638,plain,
% 78.88/50.75 ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21637, 747, 21631])).
% 78.88/50.75 tff(21639,plain,
% 78.88/50.75 (~v90(constB166, bitIndex1)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21638, 21379])).
% 78.88/50.75 tff(21640,plain,
% 78.88/50.75 ((~v1(constB167)) <=> (~v1(constB167))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21641,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 78.88/50.75 tff(21642,plain,
% 78.88/50.75 (~v1(constB167)),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21641, 21640])).
% 78.88/50.75 tff(21643,plain,
% 78.88/50.75 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21644,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 78.88/50.75 tff(21645,plain,
% 78.88/50.75 (nextState(constB166, constB167)),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 78.88/50.75 tff(21646,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21647,plain,
% 78.88/50.75 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21648,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 78.88/50.75 inference(monotonicity,[status(thm)],[21647])).
% 78.88/50.75 tff(21649,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 78.88/50.75 inference(transitivity,[status(thm)],[21648, 21646])).
% 78.88/50.75 tff(21650,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 78.88/50.75 inference(quant_inst,[status(thm)],[])).
% 78.88/50.75 tff(21651,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21650, 21649])).
% 78.88/50.75 tff(21652,plain,
% 78.88/50.75 (~v101(constB167)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21651, 307, 21645, 21642])).
% 78.88/50.75 tff(21653,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21654,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 78.88/50.75 inference(quant_inst,[status(thm)],[])).
% 78.88/50.75 tff(21655,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21654, 21653])).
% 78.88/50.75 tff(21656,plain,
% 78.88/50.75 (v101(constB167) | (~v100(constB167))),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21655, 324, 21645])).
% 78.88/50.75 tff(21657,plain,
% 78.88/50.75 (~v100(constB167)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21656, 21652])).
% 78.88/50.75 tff(21658,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21659,plain,
% 78.88/50.75 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21660,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 78.88/50.75 inference(monotonicity,[status(thm)],[21659])).
% 78.88/50.75 tff(21661,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 78.88/50.75 inference(transitivity,[status(thm)],[21660, 21658])).
% 78.88/50.75 tff(21662,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 78.88/50.75 inference(quant_inst,[status(thm)],[])).
% 78.88/50.75 tff(21663,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 78.88/50.75 tff(21664,plain,
% 78.88/50.75 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21663, 360, 21645])).
% 78.88/50.75 tff(21665,plain,
% 78.88/50.75 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21664, 21657])).
% 78.88/50.75 tff(21666,plain,
% 78.88/50.75 (~v90(constB167, bitIndex1)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21665, 21639])).
% 78.88/50.75 tff(21667,plain,
% 78.88/50.75 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21668,plain,
% 78.88/50.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))),
% 78.88/50.75 inference(quant_inst,[status(thm)],[])).
% 78.88/50.75 tff(21669,plain,
% 78.88/50.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2)),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 78.88/50.75 tff(21670,plain,
% 78.88/50.75 (v130(constB165, bitIndex2)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21669, 1877, 21355])).
% 78.88/50.75 tff(21671,plain,
% 78.88/50.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21672,plain,
% 78.88/50.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 78.88/50.75 inference(quant_inst,[status(thm)],[])).
% 78.88/50.75 tff(21673,plain,
% 78.88/50.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 78.88/50.75 tff(21674,plain,
% 78.88/50.75 ((~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21673, 1431, 21363])).
% 78.88/50.75 tff(21675,plain,
% 78.88/50.75 (v127(constB165, bitIndex2)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21674, 21670])).
% 78.88/50.75 tff(21676,plain,
% 78.88/50.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21677,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 78.88/50.75 inference(quant_inst,[status(thm)],[])).
% 78.88/50.75 tff(21678,plain,
% 78.88/50.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 78.88/50.75 inference(modus_ponens,[status(thm)],[21677, 21676])).
% 78.88/50.75 tff(21679,plain,
% 78.88/50.75 ((~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21678, 1449, 21374])).
% 78.88/50.75 tff(21680,plain,
% 78.88/50.75 (v129(constB166, bitIndex2)),
% 78.88/50.75 inference(unit_resolution,[status(thm)],[21679, 21675])).
% 78.88/50.75 tff(21681,plain,
% 78.88/50.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21682,plain,
% 78.88/50.75 ((v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 78.88/50.75 inference(rewrite,[status(thm)],[])).
% 78.88/50.75 tff(21683,plain,
% 78.88/50.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))))),
% 78.88/50.75 inference(monotonicity,[status(thm)],[21682])).
% 78.88/50.75 tff(21684,plain,
% 78.88/50.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 78.88/50.76 inference(transitivity,[status(thm)],[21683, 21681])).
% 78.88/50.76 tff(21685,plain,
% 78.88/50.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21686,plain,
% 78.88/50.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 78.88/50.76 tff(21687,plain,
% 78.88/50.76 (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2))),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21686, 1539, 21631])).
% 78.88/50.76 tff(21688,plain,
% 78.88/50.76 (v90(constB166, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21687, 21680])).
% 78.88/50.76 tff(21689,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21690,plain,
% 78.88/50.76 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21691,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)))),
% 78.88/50.76 inference(monotonicity,[status(thm)],[21690])).
% 78.88/50.76 tff(21692,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 78.88/50.76 inference(transitivity,[status(thm)],[21691, 21689])).
% 78.88/50.76 tff(21693,plain,
% 78.88/50.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21694,plain,
% 78.88/50.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21693, 21692])).
% 78.88/50.76 tff(21695,plain,
% 78.88/50.76 ((~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21694, 1575, 21645])).
% 78.88/50.76 tff(21696,plain,
% 78.88/50.76 ((~v90(constB166, bitIndex2)) | v90(constB167, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21695, 21657])).
% 78.88/50.76 tff(21697,plain,
% 78.88/50.76 (v90(constB167, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21696, 21688])).
% 78.88/50.76 tff(21698,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21699,plain,
% 78.88/50.76 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21700,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 78.88/50.76 inference(monotonicity,[status(thm)],[21699])).
% 78.88/50.76 tff(21701,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 78.88/50.76 inference(transitivity,[status(thm)],[21700, 21698])).
% 78.88/50.76 tff(21702,plain,
% 78.88/50.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21703,plain,
% 78.88/50.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21702, 21701])).
% 78.88/50.76 tff(21704,plain,
% 78.88/50.76 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21703, 836, 21645])).
% 78.88/50.76 tff(21705,plain,
% 78.88/50.76 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21704, 21657])).
% 78.88/50.76 tff(21706,plain,
% 78.88/50.76 (v90(constB167, bitIndex0)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21705, 21623])).
% 78.88/50.76 tff(21707,plain,
% 78.88/50.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21708,plain,
% 78.88/50.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21709,plain,
% 78.88/50.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21708, 21707])).
% 78.88/50.76 tff(21710,plain,
% 78.88/50.76 (v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21709, 1919, 21706])).
% 78.88/50.76 tff(21711,plain,
% 78.88/50.76 (v124(constB167)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21710, 21697, 21666])).
% 78.88/50.76 tff(21712,plain,
% 78.88/50.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21713,plain,
% 78.88/50.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21714,plain,
% 78.88/50.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 78.88/50.76 tff(21715,plain,
% 78.88/50.76 (v130(constB167, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21714, 2050, 21711])).
% 78.88/50.76 tff(21716,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21717,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21718,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21717, 21716])).
% 78.88/50.76 tff(21719,plain,
% 78.88/50.76 (v26(constB167) | v127(constB167, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21718, 1431, 21715])).
% 78.88/50.76 tff(21720,plain,
% 78.88/50.76 (v127(constB167, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21719, 20972])).
% 78.88/50.76 tff(21721,plain,
% 78.88/50.76 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21722,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 78.88/50.76 tff(21723,plain,
% 78.88/50.76 (nextState(constB167, constB168)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21722, 21721])).
% 78.88/50.76 tff(21724,plain,
% 78.88/50.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21725,plain,
% 78.88/50.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21726,plain,
% 78.88/50.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21725, 21724])).
% 78.88/50.76 tff(21727,plain,
% 78.88/50.76 ((~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21726, 1449, 21723])).
% 78.88/50.76 tff(21728,plain,
% 78.88/50.76 (v129(constB168, bitIndex2)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21727, 21720])).
% 78.88/50.76 tff(21729,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167)))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21730,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21731,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167))),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21730, 21729])).
% 78.88/50.76 tff(21732,plain,
% 78.88/50.76 (v114(constB167)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21731, 1951, 21711])).
% 78.88/50.76 tff(21733,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167)))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21734,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21735,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167))),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 78.88/50.76 tff(21736,plain,
% 78.88/50.76 (v113(constB167)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21735, 541, 21732])).
% 78.88/50.76 tff(21737,assumption,(~v108(constB167)), introduced(assumption)).
% 78.88/50.76 tff(21738,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167)))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21739,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21740,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167))),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21739, 21738])).
% 78.88/50.76 tff(21741,plain,
% 78.88/50.76 (~v112(constB167)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21740, 464, 21737])).
% 78.88/50.76 tff(21742,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167)))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21743,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))),
% 78.88/50.76 inference(quant_inst,[status(thm)],[])).
% 78.88/50.76 tff(21744,plain,
% 78.88/50.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167))),
% 78.88/50.76 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 78.88/50.76 tff(21745,plain,
% 78.88/50.76 (~v26(constB167)),
% 78.88/50.76 inference(unit_resolution,[status(thm)],[21744, 475, 21737])).
% 78.88/50.76 tff(21746,assumption,(v113(constB167)), introduced(assumption)).
% 78.88/50.76 tff(21747,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21748,plain,
% 78.88/50.76 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 78.88/50.76 inference(rewrite,[status(thm)],[])).
% 78.88/50.76 tff(21749,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 78.88/50.76 inference(monotonicity,[status(thm)],[21748])).
% 78.88/50.76 tff(21750,plain,
% 78.88/50.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 78.88/50.76 inference(transitivity,[status(thm)],[21749, 21747])).
% 78.88/50.77 tff(21751,plain,
% 78.88/50.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21752,plain,
% 78.88/50.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21751, 21750])).
% 78.88/50.77 tff(21753,plain,
% 78.88/50.77 (v26(constB167) | v112(constB167)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21752, 555, 21746])).
% 78.88/50.77 tff(21754,plain,
% 78.88/50.77 ($false),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21753, 21745, 21741])).
% 78.88/50.77 tff(21755,plain,(v108(constB167) | (~v113(constB167))), inference(lemma,lemma(discharge,[]))).
% 78.88/50.77 tff(21756,plain,
% 78.88/50.77 (v108(constB167)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21755, 21736])).
% 78.88/50.77 tff(21757,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21758,plain,
% 78.88/50.77 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21759,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 78.88/50.77 inference(monotonicity,[status(thm)],[21758])).
% 78.88/50.77 tff(21760,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 78.88/50.77 inference(transitivity,[status(thm)],[21759, 21757])).
% 78.88/50.77 tff(21761,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21762,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21761, 21760])).
% 78.88/50.77 tff(21763,plain,
% 78.88/50.77 (v110(constB168) | (~v108(constB167))),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21762, 571, 21723])).
% 78.88/50.77 tff(21764,plain,
% 78.88/50.77 (v110(constB168)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21763, 21756])).
% 78.88/50.77 tff(21765,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21766,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21767,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 78.88/50.77 tff(21768,plain,
% 78.88/50.77 (~v104(constB168)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21767, 589, 21723, 21642])).
% 78.88/50.77 tff(21769,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21770,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21771,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21770, 21769])).
% 78.88/50.77 tff(21772,plain,
% 78.88/50.77 (v102(constB168) | v104(constB168)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21771, 603, 21723])).
% 78.88/50.77 tff(21773,plain,
% 78.88/50.77 (v102(constB168)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21772, 21768])).
% 78.88/50.77 tff(21774,plain,
% 78.88/50.77 (v1(constB168) <=> v1(constB168)),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21775,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 78.88/50.77 tff(21776,plain,
% 78.88/50.77 (v1(constB168)),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 78.88/50.77 tff(21777,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21778,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21779,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 78.88/50.77 tff(21780,plain,
% 78.88/50.77 (v101(constB168) | (~v102(constB168))),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21779, 621, 21723, 21776])).
% 78.88/50.77 tff(21781,plain,
% 78.88/50.77 (v101(constB168)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21780, 21773])).
% 78.88/50.77 tff(21782,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21783,plain,
% 78.88/50.77 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21784,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 78.88/50.77 inference(monotonicity,[status(thm)],[21783])).
% 78.88/50.77 tff(21785,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 78.88/50.77 inference(transitivity,[status(thm)],[21784, 21782])).
% 78.88/50.77 tff(21786,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21787,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21786, 21785])).
% 78.88/50.77 tff(21788,plain,
% 78.88/50.77 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21787, 636, 21723])).
% 78.88/50.77 tff(21789,plain,
% 78.88/50.77 (v100(constB168) | (~v110(constB168))),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21788, 21781])).
% 78.88/50.77 tff(21790,plain,
% 78.88/50.77 (v100(constB168)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21789, 21764])).
% 78.88/50.77 tff(21791,plain,
% 78.88/50.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21792,plain,
% 78.88/50.77 ((v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21793,plain,
% 78.88/50.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))))),
% 78.88/50.77 inference(monotonicity,[status(thm)],[21792])).
% 78.88/50.77 tff(21794,plain,
% 78.88/50.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 78.88/50.77 inference(transitivity,[status(thm)],[21793, 21791])).
% 78.88/50.77 tff(21795,plain,
% 78.88/50.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21796,plain,
% 78.88/50.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21795, 21794])).
% 78.88/50.77 tff(21797,plain,
% 78.88/50.77 (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21796, 1539, 21790])).
% 78.88/50.77 tff(21798,plain,
% 78.88/50.77 (v90(constB168, bitIndex2)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21797, 21728])).
% 78.88/50.77 tff(21799,plain,
% 78.88/50.77 ((~v1(constB169)) <=> (~v1(constB169))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21800,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 78.88/50.77 tff(21801,plain,
% 78.88/50.77 (~v1(constB169)),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21800, 21799])).
% 78.88/50.77 tff(21802,plain,
% 78.88/50.77 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21803,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 78.88/50.77 tff(21804,plain,
% 78.88/50.77 (nextState(constB168, constB169)),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 78.88/50.77 tff(21805,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21806,plain,
% 78.88/50.77 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21807,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 78.88/50.77 inference(monotonicity,[status(thm)],[21806])).
% 78.88/50.77 tff(21808,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 78.88/50.77 inference(transitivity,[status(thm)],[21807, 21805])).
% 78.88/50.77 tff(21809,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21810,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 78.88/50.77 tff(21811,plain,
% 78.88/50.77 (~v101(constB169)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21810, 307, 21804, 21801])).
% 78.88/50.77 tff(21812,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 78.88/50.77 inference(rewrite,[status(thm)],[])).
% 78.88/50.77 tff(21813,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 78.88/50.77 inference(quant_inst,[status(thm)],[])).
% 78.88/50.77 tff(21814,plain,
% 78.88/50.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 78.88/50.77 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 78.88/50.77 tff(21815,plain,
% 78.88/50.77 (v101(constB169) | (~v100(constB169))),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21814, 324, 21804])).
% 78.88/50.77 tff(21816,plain,
% 78.88/50.77 (~v100(constB169)),
% 78.88/50.77 inference(unit_resolution,[status(thm)],[21815, 21811])).
% 78.88/50.77 tff(21817,plain,
% 78.88/50.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21818,plain,
% 78.88/50.78 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21819,plain,
% 78.88/50.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)))),
% 78.88/50.78 inference(monotonicity,[status(thm)],[21818])).
% 78.88/50.78 tff(21820,plain,
% 78.88/50.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 78.88/50.78 inference(transitivity,[status(thm)],[21819, 21817])).
% 78.88/50.78 tff(21821,plain,
% 78.88/50.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21822,plain,
% 78.88/50.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 78.88/50.78 tff(21823,plain,
% 78.88/50.78 ((~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21822, 1575, 21804])).
% 78.88/50.78 tff(21824,plain,
% 78.88/50.78 ((~v90(constB168, bitIndex2)) | v90(constB169, bitIndex2)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21823, 21816])).
% 78.88/50.78 tff(21825,plain,
% 78.88/50.78 (v90(constB169, bitIndex2)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21824, 21798])).
% 78.88/50.78 tff(21826,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v122(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v122(constB169)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21827,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v122(constB169)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21828,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v122(constB169))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 78.88/50.78 tff(21829,plain,
% 78.88/50.78 (~v122(constB169)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21828, 2229, 21825])).
% 78.88/50.78 tff(21830,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21831,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21832,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21831, 21830])).
% 78.88/50.78 tff(21833,plain,
% 78.88/50.78 (~v121(constB169)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21832, 2218, 21825])).
% 78.88/50.78 tff(21834,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21835,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21836,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1)),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21835, 21834])).
% 78.88/50.78 tff(21837,plain,
% 78.88/50.78 (v130(constB167, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21836, 1936, 21711])).
% 78.88/50.78 tff(21838,plain,
% 78.88/50.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21839,plain,
% 78.88/50.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21840,plain,
% 78.88/50.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21839, 21838])).
% 78.88/50.78 tff(21841,plain,
% 78.88/50.78 (v26(constB167) | v127(constB167, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21840, 1031, 21837])).
% 78.88/50.78 tff(21842,plain,
% 78.88/50.78 (v127(constB167, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21841, 20972])).
% 78.88/50.78 tff(21843,plain,
% 78.88/50.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21844,plain,
% 78.88/50.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21845,plain,
% 78.88/50.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 78.88/50.78 tff(21846,plain,
% 78.88/50.78 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21845, 1046, 21723])).
% 78.88/50.78 tff(21847,plain,
% 78.88/50.78 (v129(constB168, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21846, 21842])).
% 78.88/50.78 tff(21848,plain,
% 78.88/50.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21849,plain,
% 78.88/50.78 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21850,plain,
% 78.88/50.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 78.88/50.78 inference(monotonicity,[status(thm)],[21849])).
% 78.88/50.78 tff(21851,plain,
% 78.88/50.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 78.88/50.78 inference(transitivity,[status(thm)],[21850, 21848])).
% 78.88/50.78 tff(21852,plain,
% 78.88/50.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21853,plain,
% 78.88/50.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21852, 21851])).
% 78.88/50.78 tff(21854,plain,
% 78.88/50.78 (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21853, 1061, 21790])).
% 78.88/50.78 tff(21855,plain,
% 78.88/50.78 (v90(constB168, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21854, 21847])).
% 78.88/50.78 tff(21856,plain,
% 78.88/50.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21857,plain,
% 78.88/50.78 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21858,plain,
% 78.88/50.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 78.88/50.78 inference(monotonicity,[status(thm)],[21857])).
% 78.88/50.78 tff(21859,plain,
% 78.88/50.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 78.88/50.78 inference(transitivity,[status(thm)],[21858, 21856])).
% 78.88/50.78 tff(21860,plain,
% 78.88/50.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21861,plain,
% 78.88/50.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21860, 21859])).
% 78.88/50.78 tff(21862,plain,
% 78.88/50.78 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21861, 1079, 21804])).
% 78.88/50.78 tff(21863,plain,
% 78.88/50.78 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21862, 21816])).
% 78.88/50.78 tff(21864,plain,
% 78.88/50.78 (v90(constB169, bitIndex1)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21863, 21855])).
% 78.88/50.78 tff(21865,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v124(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v124(constB169)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21866,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v124(constB169)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21867,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v124(constB169))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 78.88/50.78 tff(21868,plain,
% 78.88/50.78 (~v124(constB169)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21867, 2276, 21864])).
% 78.88/50.78 tff(21869,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21870,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21871,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21870, 21869])).
% 78.88/50.78 tff(21872,plain,
% 78.88/50.78 (~v123(constB169)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21871, 2265, 21864])).
% 78.88/50.78 tff(21873,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21874,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21875,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 78.88/50.78 tff(21876,plain,
% 78.88/50.78 (~v119(constB169)),
% 78.88/50.78 inference(unit_resolution,[status(thm)],[21875, 2243, 21864])).
% 78.88/50.78 tff(21877,plain,
% 78.88/50.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v120(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v120(constB169)))),
% 78.88/50.78 inference(rewrite,[status(thm)],[])).
% 78.88/50.78 tff(21878,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v120(constB169)))),
% 78.88/50.78 inference(quant_inst,[status(thm)],[])).
% 78.88/50.78 tff(21879,plain,
% 78.88/50.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v120(constB169))),
% 78.88/50.78 inference(modus_ponens,[status(thm)],[21878, 21877])).
% 78.88/50.79 tff(21880,plain,
% 78.88/50.79 (~v120(constB169)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21879, 2254, 21864])).
% 78.88/50.79 tff(21881,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB169, bitIndex2)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB169, bitIndex2)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21882,plain,
% 78.88/50.79 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))) <=> ((~v130(constB169, bitIndex2)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21883,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB169, bitIndex2)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169)))),
% 78.88/50.79 inference(monotonicity,[status(thm)],[21882])).
% 78.88/50.79 tff(21884,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB169, bitIndex2)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.88/50.79 inference(transitivity,[status(thm)],[21883, 21881])).
% 78.88/50.79 tff(21885,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21886,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB169, bitIndex2)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169)),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21885, 21884])).
% 78.88/50.79 tff(21887,plain,
% 78.88/50.79 (~v130(constB169, bitIndex2)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21886, 2290, 21880, 21876, 21872, 21868, 21833, 21829])).
% 78.88/50.79 tff(21888,assumption,(v26(constB169)), introduced(assumption)).
% 78.88/50.79 tff(21889,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21890,plain,
% 78.88/50.79 ($false),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21889, 14, 21888])).
% 78.88/50.79 tff(21891,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 78.88/50.79 tff(21892,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21893,plain,
% 78.88/50.79 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21894,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 78.88/50.79 inference(monotonicity,[status(thm)],[21893])).
% 78.88/50.79 tff(21895,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 78.88/50.79 inference(transitivity,[status(thm)],[21894, 21892])).
% 78.88/50.79 tff(21896,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21897,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21896, 21895])).
% 78.88/50.79 tff(21898,plain,
% 78.88/50.79 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21897, 430, 21891])).
% 78.88/50.79 tff(21899,plain,
% 78.88/50.79 (~v127(constB169, bitIndex2)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21898, 21887])).
% 78.88/50.79 tff(21900,plain,
% 78.88/50.79 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21901,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 78.88/50.79 tff(21902,plain,
% 78.88/50.79 (nextState(constB169, constB170)),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21901, 21900])).
% 78.88/50.79 tff(21903,plain,
% 78.88/50.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21904,plain,
% 78.88/50.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21905,plain,
% 78.88/50.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21904, 21903])).
% 78.88/50.79 tff(21906,plain,
% 78.88/50.79 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21905, 451, 21902])).
% 78.88/50.79 tff(21907,plain,
% 78.88/50.79 (~v129(constB170, bitIndex2)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21906, 21899])).
% 78.88/50.79 tff(21908,plain,
% 78.88/50.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21909,plain,
% 78.88/50.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21910,plain,
% 78.88/50.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0))),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 78.88/50.79 tff(21911,plain,
% 78.88/50.79 (~v130(constB167, bitIndex0)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21910, 2112, 21711])).
% 78.88/50.79 tff(21912,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21913,plain,
% 78.88/50.79 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21914,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 78.88/50.79 inference(monotonicity,[status(thm)],[21913])).
% 78.88/50.79 tff(21915,plain,
% 78.88/50.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 78.88/50.79 inference(transitivity,[status(thm)],[21914, 21912])).
% 78.88/50.79 tff(21916,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21917,plain,
% 78.88/50.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 78.88/50.79 tff(21918,plain,
% 78.88/50.79 ((~v127(constB167, bitIndex0)) | v26(constB167)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21917, 1112, 21911])).
% 78.88/50.79 tff(21919,plain,
% 78.88/50.79 (~v127(constB167, bitIndex0)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21918, 20972])).
% 78.88/50.79 tff(21920,plain,
% 78.88/50.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 78.88/50.79 inference(rewrite,[status(thm)],[])).
% 78.88/50.79 tff(21921,plain,
% 78.88/50.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 78.88/50.79 inference(quant_inst,[status(thm)],[])).
% 78.88/50.79 tff(21922,plain,
% 78.88/50.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 78.88/50.79 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 78.88/50.79 tff(21923,plain,
% 78.88/50.79 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21922, 1130, 21723])).
% 78.88/50.79 tff(21924,plain,
% 78.88/50.79 (~v129(constB168, bitIndex0)),
% 78.88/50.79 inference(unit_resolution,[status(thm)],[21923, 21919])).
% 78.88/50.79 tff(21925,plain,
% 78.88/50.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21926,plain,
% 78.88/50.80 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21927,plain,
% 78.88/50.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 78.88/50.80 inference(monotonicity,[status(thm)],[21926])).
% 78.88/50.80 tff(21928,plain,
% 78.88/50.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 78.88/50.80 inference(transitivity,[status(thm)],[21927, 21925])).
% 78.88/50.80 tff(21929,plain,
% 78.88/50.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 78.88/50.80 inference(quant_inst,[status(thm)],[])).
% 78.88/50.80 tff(21930,plain,
% 78.88/50.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 78.88/50.80 inference(modus_ponens,[status(thm)],[21929, 21928])).
% 78.88/50.80 tff(21931,plain,
% 78.88/50.80 ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21930, 1145, 21790])).
% 78.88/50.80 tff(21932,plain,
% 78.88/50.80 (~v90(constB168, bitIndex0)),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21931, 21924])).
% 78.88/50.80 tff(21933,plain,
% 78.88/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21934,plain,
% 78.88/50.80 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21935,plain,
% 78.88/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 78.88/50.80 inference(monotonicity,[status(thm)],[21934])).
% 78.88/50.80 tff(21936,plain,
% 78.88/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 78.88/50.80 inference(transitivity,[status(thm)],[21935, 21933])).
% 78.88/50.80 tff(21937,plain,
% 78.88/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 78.88/50.80 inference(quant_inst,[status(thm)],[])).
% 78.88/50.80 tff(21938,plain,
% 78.88/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 78.88/50.80 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 78.88/50.80 tff(21939,plain,
% 78.88/50.80 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21938, 381, 21804])).
% 78.88/50.80 tff(21940,plain,
% 78.88/50.80 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21939, 21816])).
% 78.88/50.80 tff(21941,plain,
% 78.88/50.80 (~v90(constB169, bitIndex0)),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21940, 21932])).
% 78.88/50.80 tff(21942,plain,
% 78.88/50.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21943,plain,
% 78.88/50.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 78.88/50.80 inference(quant_inst,[status(thm)],[])).
% 78.88/50.80 tff(21944,plain,
% 78.88/50.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 78.88/50.80 inference(modus_ponens,[status(thm)],[21943, 21942])).
% 78.88/50.80 tff(21945,plain,
% 78.88/50.80 (v125(constB169)),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21944, 2156, 21941, 21864, 21825])).
% 78.88/50.80 tff(21946,plain,
% 78.88/50.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169)))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21947,plain,
% 78.88/50.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))),
% 78.88/50.80 inference(quant_inst,[status(thm)],[])).
% 78.88/50.80 tff(21948,plain,
% 78.88/50.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169))),
% 78.88/50.80 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 78.88/50.80 tff(21949,plain,
% 78.88/50.80 (v113(constB169)),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21948, 2167, 21945])).
% 78.88/50.80 tff(21950,assumption,(~v108(constB169)), introduced(assumption)).
% 78.88/50.80 tff(21951,plain,
% 78.88/50.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169)))),
% 78.88/50.80 inference(rewrite,[status(thm)],[])).
% 78.88/50.80 tff(21952,plain,
% 78.88/50.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))),
% 78.88/50.80 inference(quant_inst,[status(thm)],[])).
% 78.88/50.80 tff(21953,plain,
% 78.88/50.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169))),
% 78.88/50.80 inference(modus_ponens,[status(thm)],[21952, 21951])).
% 78.88/50.80 tff(21954,plain,
% 78.88/50.80 (~v112(constB169)),
% 78.88/50.80 inference(unit_resolution,[status(thm)],[21953, 464, 21950])).
% 78.88/50.80 tff(21955,plain,
% 78.88/50.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB169) | (~v26(constB169)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21956,plain,
% 78.97/50.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB169) | (~v26(constB169)))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(21957,plain,
% 78.97/50.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB169) | (~v26(constB169))),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21956, 21955])).
% 78.97/50.80 tff(21958,plain,
% 78.97/50.80 (~v26(constB169)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21957, 475, 21950])).
% 78.97/50.80 tff(21959,assumption,(v113(constB169)), introduced(assumption)).
% 78.97/50.80 tff(21960,plain,
% 78.97/50.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21961,plain,
% 78.97/50.80 ((v26(constB169) | (~v113(constB169)) | v112(constB169)) <=> (v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21962,plain,
% 78.97/50.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169))))),
% 78.97/50.80 inference(monotonicity,[status(thm)],[21961])).
% 78.97/50.80 tff(21963,plain,
% 78.97/50.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 78.97/50.80 inference(transitivity,[status(thm)],[21962, 21960])).
% 78.97/50.80 tff(21964,plain,
% 78.97/50.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(21965,plain,
% 78.97/50.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169))),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 78.97/50.80 tff(21966,plain,
% 78.97/50.80 (v26(constB169) | v112(constB169)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21965, 555, 21959])).
% 78.97/50.80 tff(21967,plain,
% 78.97/50.80 ($false),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21966, 21958, 21954])).
% 78.97/50.80 tff(21968,plain,(v108(constB169) | (~v113(constB169))), inference(lemma,lemma(discharge,[]))).
% 78.97/50.80 tff(21969,plain,
% 78.97/50.80 (v108(constB169)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21968, 21949])).
% 78.97/50.80 tff(21970,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21971,plain,
% 78.97/50.80 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21972,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 78.97/50.80 inference(monotonicity,[status(thm)],[21971])).
% 78.97/50.80 tff(21973,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 78.97/50.80 inference(transitivity,[status(thm)],[21972, 21970])).
% 78.97/50.80 tff(21974,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(21975,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 78.97/50.80 tff(21976,plain,
% 78.97/50.80 (v110(constB170) | (~v108(constB169))),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21975, 571, 21902])).
% 78.97/50.80 tff(21977,plain,
% 78.97/50.80 (v110(constB170)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21976, 21969])).
% 78.97/50.80 tff(21978,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21979,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(21980,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 78.97/50.80 tff(21981,plain,
% 78.97/50.80 (~v104(constB170)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21980, 589, 21902, 21801])).
% 78.97/50.80 tff(21982,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21983,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(21984,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21983, 21982])).
% 78.97/50.80 tff(21985,plain,
% 78.97/50.80 (v102(constB170) | v104(constB170)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21984, 603, 21902])).
% 78.97/50.80 tff(21986,plain,
% 78.97/50.80 (v102(constB170)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21985, 21981])).
% 78.97/50.80 tff(21987,plain,
% 78.97/50.80 (v1(constB170) <=> v1(constB170)),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21988,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 78.97/50.80 tff(21989,plain,
% 78.97/50.80 (v1(constB170)),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21988, 21987])).
% 78.97/50.80 tff(21990,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21991,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(21992,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21991, 21990])).
% 78.97/50.80 tff(21993,plain,
% 78.97/50.80 (v101(constB170) | (~v102(constB170))),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21992, 621, 21902, 21989])).
% 78.97/50.80 tff(21994,plain,
% 78.97/50.80 (v101(constB170)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[21993, 21986])).
% 78.97/50.80 tff(21995,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21996,plain,
% 78.97/50.80 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(21997,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 78.97/50.80 inference(monotonicity,[status(thm)],[21996])).
% 78.97/50.80 tff(21998,plain,
% 78.97/50.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 78.97/50.80 inference(transitivity,[status(thm)],[21997, 21995])).
% 78.97/50.80 tff(21999,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 78.97/50.80 inference(quant_inst,[status(thm)],[])).
% 78.97/50.80 tff(22000,plain,
% 78.97/50.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 78.97/50.80 inference(modus_ponens,[status(thm)],[21999, 21998])).
% 78.97/50.80 tff(22001,plain,
% 78.97/50.80 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[22000, 636, 21902])).
% 78.97/50.80 tff(22002,plain,
% 78.97/50.80 (v100(constB170) | (~v110(constB170))),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[22001, 21994])).
% 78.97/50.80 tff(22003,plain,
% 78.97/50.80 (v100(constB170)),
% 78.97/50.80 inference(unit_resolution,[status(thm)],[22002, 21977])).
% 78.97/50.80 tff(22004,plain,
% 78.97/50.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(22005,plain,
% 78.97/50.80 (((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 78.97/50.80 inference(rewrite,[status(thm)],[])).
% 78.97/50.80 tff(22006,plain,
% 78.97/50.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))))),
% 78.97/50.81 inference(monotonicity,[status(thm)],[22005])).
% 78.97/50.81 tff(22007,plain,
% 78.97/50.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 78.97/50.81 inference(transitivity,[status(thm)],[22006, 22004])).
% 78.97/50.81 tff(22008,plain,
% 78.97/50.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))),
% 78.97/50.81 inference(quant_inst,[status(thm)],[])).
% 78.97/50.81 tff(22009,plain,
% 78.97/50.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22008, 22007])).
% 78.97/50.81 tff(22010,plain,
% 78.97/50.81 (~v90(constB170, bitIndex2)),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22009, 655, 22003, 21907])).
% 78.97/50.81 tff(22011,plain,
% 78.97/50.81 ((~v1(constB171)) <=> (~v1(constB171))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22012,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 78.97/50.81 tff(22013,plain,
% 78.97/50.81 (~v1(constB171)),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 78.97/50.81 tff(22014,plain,
% 78.97/50.81 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22015,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 78.97/50.81 tff(22016,plain,
% 78.97/50.81 (nextState(constB170, constB171)),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22015, 22014])).
% 78.97/50.81 tff(22017,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22018,plain,
% 78.97/50.81 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22019,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 78.97/50.81 inference(monotonicity,[status(thm)],[22018])).
% 78.97/50.81 tff(22020,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 78.97/50.81 inference(transitivity,[status(thm)],[22019, 22017])).
% 78.97/50.81 tff(22021,plain,
% 78.97/50.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 78.97/50.81 inference(quant_inst,[status(thm)],[])).
% 78.97/50.81 tff(22022,plain,
% 78.97/50.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 78.97/50.81 tff(22023,plain,
% 78.97/50.81 (~v101(constB171)),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22022, 307, 22016, 22013])).
% 78.97/50.81 tff(22024,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22025,plain,
% 78.97/50.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 78.97/50.81 inference(quant_inst,[status(thm)],[])).
% 78.97/50.81 tff(22026,plain,
% 78.97/50.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 78.97/50.81 tff(22027,plain,
% 78.97/50.81 (v101(constB171) | (~v100(constB171))),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22026, 324, 22016])).
% 78.97/50.81 tff(22028,plain,
% 78.97/50.81 (~v100(constB171)),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22027, 22023])).
% 78.97/50.81 tff(22029,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22030,plain,
% 78.97/50.81 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22031,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 78.97/50.81 inference(monotonicity,[status(thm)],[22030])).
% 78.97/50.81 tff(22032,plain,
% 78.97/50.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 78.97/50.81 inference(transitivity,[status(thm)],[22031, 22029])).
% 78.97/50.81 tff(22033,plain,
% 78.97/50.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 78.97/50.81 inference(quant_inst,[status(thm)],[])).
% 78.97/50.81 tff(22034,plain,
% 78.97/50.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22033, 22032])).
% 78.97/50.81 tff(22035,plain,
% 78.97/50.81 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22034, 339, 22016])).
% 78.97/50.81 tff(22036,plain,
% 78.97/50.81 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22035, 22028])).
% 78.97/50.81 tff(22037,plain,
% 78.97/50.81 (~v90(constB171, bitIndex2)),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22036, 22010])).
% 78.97/50.81 tff(22038,plain,
% 78.97/50.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB169, bitIndex1)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB169, bitIndex1)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22039,plain,
% 78.97/50.81 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1))) <=> ((~v130(constB169, bitIndex1)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22040,plain,
% 78.97/50.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB169, bitIndex1)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169)))),
% 78.97/50.81 inference(monotonicity,[status(thm)],[22039])).
% 78.97/50.81 tff(22041,plain,
% 78.97/50.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB169, bitIndex1)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.97/50.81 inference(transitivity,[status(thm)],[22040, 22038])).
% 78.97/50.81 tff(22042,plain,
% 78.97/50.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))),
% 78.97/50.81 inference(quant_inst,[status(thm)],[])).
% 78.97/50.81 tff(22043,plain,
% 78.97/50.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB169, bitIndex1)) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169)),
% 78.97/50.81 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 78.97/50.81 tff(22044,plain,
% 78.97/50.81 (~v130(constB169, bitIndex1)),
% 78.97/50.81 inference(unit_resolution,[status(thm)],[22043, 2355, 21880, 21876, 21872, 21868, 21833, 21829])).
% 78.97/50.81 tff(22045,plain,
% 78.97/50.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 78.97/50.81 inference(rewrite,[status(thm)],[])).
% 78.97/50.81 tff(22046,plain,
% 78.97/50.81 ((v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1))) <=> ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22047,plain,
% 78.97/50.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)))),
% 78.97/50.82 inference(monotonicity,[status(thm)],[22046])).
% 78.97/50.82 tff(22048,plain,
% 78.97/50.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 78.97/50.82 inference(transitivity,[status(thm)],[22047, 22045])).
% 78.97/50.82 tff(22049,plain,
% 78.97/50.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22050,plain,
% 78.97/50.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 78.97/50.82 tff(22051,plain,
% 78.97/50.82 ((~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22050, 714, 21891])).
% 78.97/50.82 tff(22052,plain,
% 78.97/50.82 (~v127(constB169, bitIndex1)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22051, 22044])).
% 78.97/50.82 tff(22053,plain,
% 78.97/50.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22054,plain,
% 78.97/50.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22055,plain,
% 78.97/50.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 78.97/50.82 tff(22056,plain,
% 78.97/50.82 (v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22055, 732, 21902])).
% 78.97/50.82 tff(22057,plain,
% 78.97/50.82 (~v129(constB170, bitIndex1)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22056, 22052])).
% 78.97/50.82 tff(22058,plain,
% 78.97/50.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22059,plain,
% 78.97/50.82 (((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22060,plain,
% 78.97/50.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))))),
% 78.97/50.82 inference(monotonicity,[status(thm)],[22059])).
% 78.97/50.82 tff(22061,plain,
% 78.97/50.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 78.97/50.82 inference(transitivity,[status(thm)],[22060, 22058])).
% 78.97/50.82 tff(22062,plain,
% 78.97/50.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22063,plain,
% 78.97/50.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 78.97/50.82 tff(22064,plain,
% 78.97/50.82 (~v90(constB170, bitIndex1)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22063, 747, 22003, 22057])).
% 78.97/50.82 tff(22065,plain,
% 78.97/50.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22066,plain,
% 78.97/50.82 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22067,plain,
% 78.97/50.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))))),
% 78.97/50.82 inference(monotonicity,[status(thm)],[22066])).
% 78.97/50.82 tff(22068,plain,
% 78.97/50.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 78.97/50.82 inference(transitivity,[status(thm)],[22067, 22065])).
% 78.97/50.82 tff(22069,plain,
% 78.97/50.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22070,plain,
% 78.97/50.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22069, 22068])).
% 78.97/50.82 tff(22071,plain,
% 78.97/50.82 (v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22070, 360, 22016])).
% 78.97/50.82 tff(22072,plain,
% 78.97/50.82 (v90(constB170, bitIndex1) | (~v90(constB171, bitIndex1))),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22071, 22028])).
% 78.97/50.82 tff(22073,plain,
% 78.97/50.82 (~v90(constB171, bitIndex1)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22072, 22064])).
% 78.97/50.82 tff(22074,plain,
% 78.97/50.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22075,plain,
% 78.97/50.82 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)) <=> (v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22076,plain,
% 78.97/50.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169)))),
% 78.97/50.82 inference(monotonicity,[status(thm)],[22075])).
% 78.97/50.82 tff(22077,plain,
% 78.97/50.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169))),
% 78.97/50.82 inference(transitivity,[status(thm)],[22076, 22074])).
% 78.97/50.82 tff(22078,plain,
% 78.97/50.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22079,plain,
% 78.97/50.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169)),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22078, 22077])).
% 78.97/50.82 tff(22080,plain,
% 78.97/50.82 (v130(constB169, bitIndex0)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22079, 2402, 21880, 21876, 21872, 21868, 21833, 21829])).
% 78.97/50.82 tff(22081,plain,
% 78.97/50.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22082,plain,
% 78.97/50.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22083,plain,
% 78.97/50.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22082, 22081])).
% 78.97/50.82 tff(22084,plain,
% 78.97/50.82 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22083, 788, 21891])).
% 78.97/50.82 tff(22085,plain,
% 78.97/50.82 (v127(constB169, bitIndex0)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22084, 22080])).
% 78.97/50.82 tff(22086,plain,
% 78.97/50.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22087,plain,
% 78.97/50.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22088,plain,
% 78.97/50.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22087, 22086])).
% 78.97/50.82 tff(22089,plain,
% 78.97/50.82 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22088, 803, 21902])).
% 78.97/50.82 tff(22090,plain,
% 78.97/50.82 (v129(constB170, bitIndex0)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22089, 22085])).
% 78.97/50.82 tff(22091,plain,
% 78.97/50.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22092,plain,
% 78.97/50.82 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 78.97/50.82 inference(rewrite,[status(thm)],[])).
% 78.97/50.82 tff(22093,plain,
% 78.97/50.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 78.97/50.82 inference(monotonicity,[status(thm)],[22092])).
% 78.97/50.82 tff(22094,plain,
% 78.97/50.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 78.97/50.82 inference(transitivity,[status(thm)],[22093, 22091])).
% 78.97/50.82 tff(22095,plain,
% 78.97/50.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 78.97/50.82 inference(quant_inst,[status(thm)],[])).
% 78.97/50.82 tff(22096,plain,
% 78.97/50.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 78.97/50.82 inference(modus_ponens,[status(thm)],[22095, 22094])).
% 78.97/50.82 tff(22097,plain,
% 78.97/50.82 (v90(constB170, bitIndex0)),
% 78.97/50.82 inference(unit_resolution,[status(thm)],[22096, 818, 22003, 22090])).
% 78.97/50.82 tff(22098,plain,
% 78.97/50.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22099,plain,
% 78.97/50.83 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22100,plain,
% 78.97/50.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 78.97/50.83 inference(monotonicity,[status(thm)],[22099])).
% 78.97/50.83 tff(22101,plain,
% 78.97/50.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 78.97/50.83 inference(transitivity,[status(thm)],[22100, 22098])).
% 78.97/50.83 tff(22102,plain,
% 78.97/50.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 78.97/50.83 inference(quant_inst,[status(thm)],[])).
% 78.97/50.83 tff(22103,plain,
% 78.97/50.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 78.97/50.83 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 78.97/50.83 tff(22104,plain,
% 78.97/50.83 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22103, 836, 22016])).
% 78.97/50.83 tff(22105,plain,
% 78.97/50.83 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22104, 22028])).
% 78.97/50.83 tff(22106,plain,
% 78.97/50.83 (v90(constB171, bitIndex0)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22105, 22097])).
% 78.97/50.83 tff(22107,plain,
% 78.97/50.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22108,plain,
% 78.97/50.83 (((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2)) <=> ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22109,plain,
% 78.97/50.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)))),
% 78.97/50.83 inference(monotonicity,[status(thm)],[22108])).
% 78.97/50.83 tff(22110,plain,
% 78.97/50.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 78.97/50.83 inference(transitivity,[status(thm)],[22109, 22107])).
% 78.97/50.83 tff(22111,plain,
% 78.97/50.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))),
% 78.97/50.83 inference(quant_inst,[status(thm)],[])).
% 78.97/50.83 tff(22112,plain,
% 78.97/50.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)),
% 78.97/50.83 inference(modus_ponens,[status(thm)],[22111, 22110])).
% 78.97/50.83 tff(22113,plain,
% 78.97/50.83 (v120(constB171)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22112, 855, 22106, 22073, 22037])).
% 78.97/50.83 tff(22114,plain,
% 78.97/50.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22115,plain,
% 78.97/50.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 78.97/50.83 inference(quant_inst,[status(thm)],[])).
% 78.97/50.83 tff(22116,plain,
% 78.97/50.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2))),
% 78.97/50.83 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 78.97/50.83 tff(22117,plain,
% 78.97/50.83 (~v130(constB171, bitIndex2)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22116, 872, 22113])).
% 78.97/50.83 tff(22118,assumption,(v26(constB171)), introduced(assumption)).
% 78.97/50.83 tff(22119,plain,
% 78.97/50.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 78.97/50.83 inference(quant_inst,[status(thm)],[])).
% 78.97/50.83 tff(22120,plain,
% 78.97/50.83 ($false),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22119, 14, 22118])).
% 78.97/50.83 tff(22121,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.83 tff(22122,plain,
% 78.97/50.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22123,plain,
% 78.97/50.83 ((v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2))) <=> ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22124,plain,
% 78.97/50.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)))),
% 78.97/50.83 inference(monotonicity,[status(thm)],[22123])).
% 78.97/50.83 tff(22125,plain,
% 78.97/50.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 78.97/50.83 inference(transitivity,[status(thm)],[22124, 22122])).
% 78.97/50.83 tff(22126,plain,
% 78.97/50.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))),
% 78.97/50.83 inference(quant_inst,[status(thm)],[])).
% 78.97/50.83 tff(22127,plain,
% 78.97/50.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)),
% 78.97/50.83 inference(modus_ponens,[status(thm)],[22126, 22125])).
% 78.97/50.83 tff(22128,plain,
% 78.97/50.83 ((~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22127, 430, 22121])).
% 78.97/50.83 tff(22129,plain,
% 78.97/50.83 (~v127(constB171, bitIndex2)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22128, 22117])).
% 78.97/50.83 tff(22130,plain,
% 78.97/50.83 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22131,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 78.97/50.83 tff(22132,plain,
% 78.97/50.83 (nextState(constB171, constB172)),
% 78.97/50.83 inference(modus_ponens,[status(thm)],[22131, 22130])).
% 78.97/50.83 tff(22133,plain,
% 78.97/50.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22134,plain,
% 78.97/50.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 78.97/50.83 inference(quant_inst,[status(thm)],[])).
% 78.97/50.83 tff(22135,plain,
% 78.97/50.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 78.97/50.83 inference(modus_ponens,[status(thm)],[22134, 22133])).
% 78.97/50.83 tff(22136,plain,
% 78.97/50.83 (v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22135, 451, 22132])).
% 78.97/50.83 tff(22137,plain,
% 78.97/50.83 (~v129(constB172, bitIndex2)),
% 78.97/50.83 inference(unit_resolution,[status(thm)],[22136, 22129])).
% 78.97/50.83 tff(22138,assumption,(~v90(constB171, bitIndex1)), introduced(assumption)).
% 78.97/50.83 tff(22139,plain,
% 78.97/50.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22140,plain,
% 78.97/50.83 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 78.97/50.83 inference(rewrite,[status(thm)],[])).
% 78.97/50.83 tff(22141,plain,
% 78.97/50.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)))),
% 78.97/50.84 inference(monotonicity,[status(thm)],[22140])).
% 78.97/50.84 tff(22142,plain,
% 78.97/50.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 78.97/50.84 inference(transitivity,[status(thm)],[22141, 22139])).
% 78.97/50.84 tff(22143,plain,
% 78.97/50.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22144,plain,
% 78.97/50.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 78.97/50.84 tff(22145,plain,
% 78.97/50.84 ((~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22144, 1079, 22016])).
% 78.97/50.84 tff(22146,plain,
% 78.97/50.84 ((~v90(constB170, bitIndex1)) | v90(constB171, bitIndex1)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22145, 22028])).
% 78.97/50.84 tff(22147,plain,
% 78.97/50.84 (~v90(constB170, bitIndex1)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22146, 22138])).
% 78.97/50.84 tff(22148,assumption,(~v90(constB170, bitIndex2)), introduced(assumption)).
% 78.97/50.84 tff(22149,assumption,(~v90(constB172, bitIndex1)), introduced(assumption)).
% 78.97/50.84 tff(22150,plain,
% 78.97/50.84 (~v90(constB171, bitIndex2)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22036, 22148])).
% 78.97/50.84 tff(22151,assumption,(~v90(constB172, bitIndex0)), introduced(assumption)).
% 78.97/50.84 tff(22152,plain,
% 78.97/50.84 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 78.97/50.84 inference(bind,[status(th)],[])).
% 78.97/50.84 tff(22153,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(quant_intro,[status(thm)],[22152])).
% 78.97/50.84 tff(22154,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22155,plain,
% 78.97/50.84 (^[VarNext: $i, VarCurr: $i] : rewrite(((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 78.97/50.84 inference(bind,[status(th)],[])).
% 78.97/50.84 tff(22156,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(quant_intro,[status(thm)],[22155])).
% 78.97/50.84 tff(22157,axiom,(![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 78.97/50.84 tff(22158,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 78.97/50.84 tff(22159,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22158, 22154])).
% 78.97/50.84 tff(22160,plain,(
% 78.97/50.84 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(skolemize,[status(sab)],[22159])).
% 78.97/50.84 tff(22161,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22160, 22153])).
% 78.97/50.84 tff(22162,plain,
% 78.97/50.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB169, constB170)) | (~v110(constB170)) | v108(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB169, constB170)) | (~v110(constB170)) | v108(constB169))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22163,plain,
% 78.97/50.84 (((~nextState(constB169, constB170)) | v108(constB169) | (~v110(constB170))) <=> ((~nextState(constB169, constB170)) | (~v110(constB170)) | v108(constB169))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22164,plain,
% 78.97/50.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB169, constB170)) | v108(constB169) | (~v110(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB169, constB170)) | (~v110(constB170)) | v108(constB169)))),
% 78.97/50.84 inference(monotonicity,[status(thm)],[22163])).
% 78.97/50.84 tff(22165,plain,
% 78.97/50.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB169, constB170)) | v108(constB169) | (~v110(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB169, constB170)) | (~v110(constB170)) | v108(constB169))),
% 78.97/50.84 inference(transitivity,[status(thm)],[22164, 22162])).
% 78.97/50.84 tff(22166,plain,
% 78.97/50.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB169, constB170)) | v108(constB169) | (~v110(constB170)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22167,plain,
% 78.97/50.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB169, constB170)) | (~v110(constB170)) | v108(constB169)),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22166, 22165])).
% 78.97/50.84 tff(22168,plain,
% 78.97/50.84 ((~v110(constB170)) | v108(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22167, 22161, 21902])).
% 78.97/50.84 tff(22169,plain,
% 78.97/50.84 (~v110(constB170)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22168, 21950])).
% 78.97/50.84 tff(22170,plain,
% 78.97/50.84 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 78.97/50.84 inference(bind,[status(th)],[])).
% 78.97/50.84 tff(22171,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(quant_intro,[status(thm)],[22170])).
% 78.97/50.84 tff(22172,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22173,plain,
% 78.97/50.84 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 78.97/50.84 inference(bind,[status(th)],[])).
% 78.97/50.84 tff(22174,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(quant_intro,[status(thm)],[22173])).
% 78.97/50.84 tff(22175,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 78.97/50.84 tff(22176,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22175, 22174])).
% 78.97/50.84 tff(22177,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22176, 22172])).
% 78.97/50.84 tff(22178,plain,(
% 78.97/50.84 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(skolemize,[status(sab)],[22177])).
% 78.97/50.84 tff(22179,plain,
% 78.97/50.84 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22178, 22171])).
% 78.97/50.84 tff(22180,plain,
% 78.97/50.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v100(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v100(constB170)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22181,plain,
% 78.97/50.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v100(constB170)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22182,plain,
% 78.97/50.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v100(constB170))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22181, 22180])).
% 78.97/50.84 tff(22183,plain,
% 78.97/50.84 (v110(constB170) | (~v100(constB170))),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22182, 22179, 21902])).
% 78.97/50.84 tff(22184,plain,
% 78.97/50.84 (~v100(constB170)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22183, 22169])).
% 78.97/50.84 tff(22185,plain,
% 78.97/50.84 (~v113(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[21968, 21950])).
% 78.97/50.84 tff(22186,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22187,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22188,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 78.97/50.84 tff(22189,plain,
% 78.97/50.84 (~v114(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22188, 541, 22185])).
% 78.97/50.84 tff(22190,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22191,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22192,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22191, 22190])).
% 78.97/50.84 tff(22193,plain,
% 78.97/50.84 (~v115(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22192, 530, 22189])).
% 78.97/50.84 tff(22194,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22195,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22196,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22195, 22194])).
% 78.97/50.84 tff(22197,plain,
% 78.97/50.84 (~v116(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22196, 519, 22193])).
% 78.97/50.84 tff(22198,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB169) | (~v122(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB169) | (~v122(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22199,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB169) | (~v122(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22200,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB169) | (~v122(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 78.97/50.84 tff(22201,plain,
% 78.97/50.84 (~v122(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22200, 1470, 22197])).
% 78.97/50.84 tff(22202,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22203,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22204,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22203, 22202])).
% 78.97/50.84 tff(22205,plain,
% 78.97/50.84 (~v117(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22204, 508, 22197])).
% 78.97/50.84 tff(22206,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22207,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22208,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 78.97/50.84 tff(22209,plain,
% 78.97/50.84 (~v121(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22208, 1183, 22205])).
% 78.97/50.84 tff(22210,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB169) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB169) | (~v123(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22211,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB169) | (~v123(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22212,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB169) | (~v123(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 78.97/50.84 tff(22213,plain,
% 78.97/50.84 (~v123(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22212, 1693, 22193])).
% 78.97/50.84 tff(22214,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB169) | (~v124(constB169)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB169) | (~v124(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22215,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB169) | (~v124(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22216,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB169) | (~v124(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 78.97/50.84 tff(22217,plain,
% 78.97/50.84 (~v124(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22216, 1951, 22189])).
% 78.97/50.84 tff(22218,assumption,(v119(constB169)), introduced(assumption)).
% 78.97/50.84 tff(22219,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB169) | (~v119(constB169)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB169) | (~v119(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22220,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB169) | (~v119(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22221,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB169) | (~v119(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 78.97/50.84 tff(22222,plain,
% 78.97/50.84 (v118(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22221, 486, 22218])).
% 78.97/50.84 tff(22223,plain,
% 78.97/50.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB169) | (~v118(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB169) | (~v118(constB169)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22224,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB169) | (~v118(constB169)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22225,plain,
% 78.97/50.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB169) | (~v118(constB169))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22224, 22223])).
% 78.97/50.84 tff(22226,plain,
% 78.97/50.84 (v117(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22225, 497, 22222])).
% 78.97/50.84 tff(22227,plain,
% 78.97/50.84 (v116(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22204, 508, 22226])).
% 78.97/50.84 tff(22228,plain,
% 78.97/50.84 (v115(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22196, 519, 22227])).
% 78.97/50.84 tff(22229,plain,
% 78.97/50.84 (v114(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22192, 530, 22228])).
% 78.97/50.84 tff(22230,plain,
% 78.97/50.84 (v113(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22188, 541, 22229])).
% 78.97/50.84 tff(22231,plain,
% 78.97/50.84 (v108(constB169)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[21968, 22230])).
% 78.97/50.84 tff(22232,plain,
% 78.97/50.84 (v110(constB170)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[21976, 22231])).
% 78.97/50.84 tff(22233,plain,
% 78.97/50.84 (v100(constB170)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22002, 22232])).
% 78.97/50.84 tff(22234,plain,
% 78.97/50.84 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB169)) | (~v130(constB169, bitIndex2)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22235,plain,
% 78.97/50.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB169)) | (~v130(constB169, bitIndex2)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22236,plain,
% 78.97/50.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB169)) | (~v130(constB169, bitIndex2))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 78.97/50.84 tff(22237,plain,
% 78.97/50.84 (~v130(constB169, bitIndex2)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22236, 416, 22218])).
% 78.97/50.84 tff(22238,plain,
% 78.97/50.84 (~v127(constB169, bitIndex2)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[21898, 22237])).
% 78.97/50.84 tff(22239,plain,
% 78.97/50.84 (~v129(constB170, bitIndex2)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[21906, 22238])).
% 78.97/50.84 tff(22240,plain,
% 78.97/50.84 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22009, 655, 22239])).
% 78.97/50.84 tff(22241,plain,
% 78.97/50.84 (~v90(constB170, bitIndex2)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22240, 22233])).
% 78.97/50.84 tff(22242,plain,
% 78.97/50.84 (~v90(constB171, bitIndex2)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22036, 22241])).
% 78.97/50.84 tff(22243,plain,
% 78.97/50.84 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v130(constB169, bitIndex1)))),
% 78.97/50.84 inference(rewrite,[status(thm)],[])).
% 78.97/50.84 tff(22244,plain,
% 78.97/50.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v130(constB169, bitIndex1)))),
% 78.97/50.84 inference(quant_inst,[status(thm)],[])).
% 78.97/50.84 tff(22245,plain,
% 78.97/50.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v130(constB169, bitIndex1))),
% 78.97/50.84 inference(modus_ponens,[status(thm)],[22244, 22243])).
% 78.97/50.84 tff(22246,plain,
% 78.97/50.84 (~v130(constB169, bitIndex1)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22245, 700, 22218])).
% 78.97/50.84 tff(22247,plain,
% 78.97/50.84 (~v127(constB169, bitIndex1)),
% 78.97/50.84 inference(unit_resolution,[status(thm)],[22051, 22246])).
% 78.97/50.85 tff(22248,plain,
% 78.97/50.85 (~v129(constB170, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22056, 22247])).
% 78.97/50.85 tff(22249,plain,
% 78.97/50.85 ((~v90(constB170, bitIndex1)) | (~v100(constB170))),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22063, 747, 22248])).
% 78.97/50.85 tff(22250,plain,
% 78.97/50.85 (~v90(constB170, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22249, 22233])).
% 78.97/50.85 tff(22251,plain,
% 78.97/50.85 (~v90(constB171, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22072, 22250])).
% 78.97/50.85 tff(22252,plain,
% 78.97/50.85 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB169)) | v130(constB169, bitIndex0))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22253,plain,
% 78.97/50.85 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB169)) | v130(constB169, bitIndex0))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22254,plain,
% 78.97/50.85 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB169)) | v130(constB169, bitIndex0)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22253, 22252])).
% 78.97/50.85 tff(22255,plain,
% 78.97/50.85 (v130(constB169, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22254, 774, 22218])).
% 78.97/50.85 tff(22256,plain,
% 78.97/50.85 (v127(constB169, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22084, 22255])).
% 78.97/50.85 tff(22257,plain,
% 78.97/50.85 (v129(constB170, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22089, 22256])).
% 78.97/50.85 tff(22258,plain,
% 78.97/50.85 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22096, 818, 22257])).
% 78.97/50.85 tff(22259,plain,
% 78.97/50.85 (v90(constB170, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22258, 22233])).
% 78.97/50.85 tff(22260,plain,
% 78.97/50.85 (v90(constB171, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22105, 22259])).
% 78.97/50.85 tff(22261,plain,
% 78.97/50.85 (v120(constB171)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22112, 855, 22260, 22251, 22242])).
% 78.97/50.85 tff(22262,plain,
% 78.97/50.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22263,plain,
% 78.97/50.85 (((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)) <=> ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22264,plain,
% 78.97/50.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)))),
% 78.97/50.85 inference(monotonicity,[status(thm)],[22263])).
% 78.97/50.85 tff(22265,plain,
% 78.97/50.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 78.97/50.85 inference(transitivity,[status(thm)],[22264, 22262])).
% 78.97/50.85 tff(22266,plain,
% 78.97/50.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22267,plain,
% 78.97/50.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22266, 22265])).
% 78.97/50.85 tff(22268,plain,
% 78.97/50.85 ((~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22267, 836, 22132])).
% 78.97/50.85 tff(22269,plain,
% 78.97/50.85 (v100(constB172)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22268, 22260, 22151])).
% 78.97/50.85 tff(22270,plain,
% 78.97/50.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22271,plain,
% 78.97/50.85 ((v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22272,plain,
% 78.97/50.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))))),
% 78.97/50.85 inference(monotonicity,[status(thm)],[22271])).
% 78.97/50.85 tff(22273,plain,
% 78.97/50.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 78.97/50.85 inference(transitivity,[status(thm)],[22272, 22270])).
% 78.97/50.85 tff(22274,plain,
% 78.97/50.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22275,plain,
% 78.97/50.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22274, 22273])).
% 78.97/50.85 tff(22276,plain,
% 78.97/50.85 ((~v129(constB172, bitIndex1)) | (~v100(constB172))),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22275, 1061, 22149])).
% 78.97/50.85 tff(22277,plain,
% 78.97/50.85 (~v129(constB172, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22276, 22269])).
% 78.97/50.85 tff(22278,plain,
% 78.97/50.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22279,plain,
% 78.97/50.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22280,plain,
% 78.97/50.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22279, 22278])).
% 78.97/50.85 tff(22281,plain,
% 78.97/50.85 ((~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22280, 1046, 22132])).
% 78.97/50.85 tff(22282,plain,
% 78.97/50.85 (~v127(constB171, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22281, 22277])).
% 78.97/50.85 tff(22283,plain,
% 78.97/50.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22284,plain,
% 78.97/50.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22285,plain,
% 78.97/50.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 78.97/50.85 tff(22286,plain,
% 78.97/50.85 ((~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22285, 1031, 22121])).
% 78.97/50.85 tff(22287,plain,
% 78.97/50.85 (~v130(constB171, bitIndex1)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22286, 22282])).
% 78.97/50.85 tff(22288,plain,
% 78.97/50.85 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22289,plain,
% 78.97/50.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22290,plain,
% 78.97/50.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 78.97/50.85 tff(22291,plain,
% 78.97/50.85 ($false),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22290, 1017, 22287, 22261])).
% 78.97/50.85 tff(22292,plain,((~v119(constB169)) | v90(constB172, bitIndex1) | v90(constB172, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.85 tff(22293,plain,
% 78.97/50.85 (~v119(constB169)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22292, 22149, 22151])).
% 78.97/50.85 tff(22294,plain,
% 78.97/50.85 (~v118(constB169)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22225, 497, 22205])).
% 78.97/50.85 tff(22295,plain,
% 78.97/50.85 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB169) | (~v120(constB169)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB169) | (~v120(constB169)))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22296,plain,
% 78.97/50.85 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB169) | (~v120(constB169)))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22297,plain,
% 78.97/50.85 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB169) | (~v120(constB169))),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22296, 22295])).
% 78.97/50.85 tff(22298,plain,
% 78.97/50.85 (~v120(constB169)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22297, 908, 22294])).
% 78.97/50.85 tff(22299,assumption,(~v90(constB169, bitIndex1)), introduced(assumption)).
% 78.97/50.85 tff(22300,assumption,(~v120(constB169)), introduced(assumption)).
% 78.97/50.85 tff(22301,assumption,(~v119(constB169)), introduced(assumption)).
% 78.97/50.85 tff(22302,assumption,(~v90(constB169, bitIndex2)), introduced(assumption)).
% 78.97/50.85 tff(22303,plain,
% 78.97/50.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | v120(constB169))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | v120(constB169))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22304,plain,
% 78.97/50.85 (((~v90(constB169, bitIndex0)) | v120(constB169) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)) <=> ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | v120(constB169))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22305,plain,
% 78.97/50.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex0)) | v120(constB169) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | v120(constB169)))),
% 78.97/50.85 inference(monotonicity,[status(thm)],[22304])).
% 78.97/50.85 tff(22306,plain,
% 78.97/50.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex0)) | v120(constB169) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | v120(constB169))),
% 78.97/50.85 inference(transitivity,[status(thm)],[22305, 22303])).
% 78.97/50.85 tff(22307,plain,
% 78.97/50.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex0)) | v120(constB169) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22308,plain,
% 78.97/50.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | v120(constB169)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 78.97/50.85 tff(22309,plain,
% 78.97/50.85 ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22308, 855, 22300])).
% 78.97/50.85 tff(22310,plain,
% 78.97/50.85 (~v90(constB169, bitIndex0)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22309, 22302, 22299])).
% 78.97/50.85 tff(22311,plain,
% 78.97/50.85 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))),
% 78.97/50.85 inference(rewrite,[status(thm)],[])).
% 78.97/50.85 tff(22312,plain,
% 78.97/50.85 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))),
% 78.97/50.85 inference(quant_inst,[status(thm)],[])).
% 78.97/50.85 tff(22313,plain,
% 78.97/50.85 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 78.97/50.85 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 78.97/50.85 tff(22314,plain,
% 78.97/50.85 (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22313, 402, 22301])).
% 78.97/50.85 tff(22315,plain,
% 78.97/50.85 ($false),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22314, 22310, 22302, 22299])).
% 78.97/50.85 tff(22316,plain,(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | v119(constB169) | v120(constB169)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.85 tff(22317,plain,
% 78.97/50.85 (v90(constB169, bitIndex2)),
% 78.97/50.85 inference(unit_resolution,[status(thm)],[22316, 22299, 22301, 22300])).
% 78.97/50.86 tff(22318,assumption,(~v124(constB169)), introduced(assumption)).
% 78.97/50.86 tff(22319,plain,
% 78.97/50.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v124(constB169))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v124(constB169))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22320,plain,
% 78.97/50.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v124(constB169))),
% 78.97/50.86 inference(quant_inst,[status(thm)],[])).
% 78.97/50.86 tff(22321,plain,
% 78.97/50.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v124(constB169)),
% 78.97/50.86 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 78.97/50.86 tff(22322,plain,
% 78.97/50.86 ((~v90(constB169, bitIndex0)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2))),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22321, 1919, 22318])).
% 78.97/50.86 tff(22323,plain,
% 78.97/50.86 (~v90(constB169, bitIndex0)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22322, 22317, 22299])).
% 78.97/50.86 tff(22324,assumption,(~v123(constB169)), introduced(assumption)).
% 78.97/50.86 tff(22325,plain,
% 78.97/50.86 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22326,plain,
% 78.97/50.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))),
% 78.97/50.86 inference(quant_inst,[status(thm)],[])).
% 78.97/50.86 tff(22327,plain,
% 78.97/50.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169)),
% 78.97/50.86 inference(modus_ponens,[status(thm)],[22326, 22325])).
% 78.97/50.86 tff(22328,plain,
% 78.97/50.86 (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2))),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22327, 1682, 22324])).
% 78.97/50.86 tff(22329,plain,
% 78.97/50.86 ($false),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22328, 22323, 22317, 22299])).
% 78.97/50.86 tff(22330,plain,(v90(constB169, bitIndex1) | v123(constB169) | v124(constB169) | v119(constB169) | v120(constB169)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.86 tff(22331,plain,
% 78.97/50.86 (v90(constB169, bitIndex1)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22330, 22298, 22293, 22217, 22213])).
% 78.97/50.86 tff(22332,assumption,(v90(constB169, bitIndex1)), introduced(assumption)).
% 78.97/50.86 tff(22333,assumption,(~v122(constB169)), introduced(assumption)).
% 78.97/50.86 tff(22334,plain,
% 78.97/50.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v122(constB169))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v122(constB169))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22335,plain,
% 78.97/50.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v122(constB169))),
% 78.97/50.86 inference(quant_inst,[status(thm)],[])).
% 78.97/50.86 tff(22336,plain,
% 78.97/50.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v122(constB169)),
% 78.97/50.86 inference(modus_ponens,[status(thm)],[22335, 22334])).
% 78.97/50.86 tff(22337,plain,
% 78.97/50.86 ((~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22336, 1403, 22333])).
% 78.97/50.86 tff(22338,plain,
% 78.97/50.86 (~v90(constB169, bitIndex0)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22337, 22302, 22332])).
% 78.97/50.86 tff(22339,assumption,(~v121(constB169)), introduced(assumption)).
% 78.97/50.86 tff(22340,plain,
% 78.97/50.86 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22341,plain,
% 78.97/50.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 78.97/50.86 inference(quant_inst,[status(thm)],[])).
% 78.97/50.86 tff(22342,plain,
% 78.97/50.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 78.97/50.86 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 78.97/50.86 tff(22343,plain,
% 78.97/50.86 (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22342, 1172, 22339])).
% 78.97/50.86 tff(22344,plain,
% 78.97/50.86 ($false),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22343, 22338, 22302, 22332])).
% 78.97/50.86 tff(22345,plain,(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v121(constB169) | v122(constB169)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.86 tff(22346,plain,
% 78.97/50.86 (v90(constB169, bitIndex2)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22345, 22331, 22209, 22201])).
% 78.97/50.86 tff(22347,plain,
% 78.97/50.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB169, bitIndex2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB169, bitIndex2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex2))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22348,plain,
% 78.97/50.86 (((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex2)) | v100(constB170) | v90(constB170, bitIndex2)) <=> ((~v90(constB169, bitIndex2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex2))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22349,plain,
% 78.97/50.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex2)) | v100(constB170) | v90(constB170, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB169, bitIndex2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex2)))),
% 78.97/50.86 inference(monotonicity,[status(thm)],[22348])).
% 78.97/50.86 tff(22350,plain,
% 78.97/50.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex2)) | v100(constB170) | v90(constB170, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB169, bitIndex2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex2))),
% 78.97/50.86 inference(transitivity,[status(thm)],[22349, 22347])).
% 78.97/50.86 tff(22351,plain,
% 78.97/50.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex2)) | v100(constB170) | v90(constB170, bitIndex2))),
% 78.97/50.86 inference(quant_inst,[status(thm)],[])).
% 78.97/50.86 tff(22352,plain,
% 78.97/50.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB169, bitIndex2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex2)),
% 78.97/50.86 inference(modus_ponens,[status(thm)],[22351, 22350])).
% 78.97/50.86 tff(22353,plain,
% 78.97/50.86 ((~v90(constB169, bitIndex2)) | v100(constB170) | v90(constB170, bitIndex2)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22352, 1575, 21902])).
% 78.97/50.86 tff(22354,plain,
% 78.97/50.86 (v90(constB170, bitIndex2)),
% 78.97/50.86 inference(unit_resolution,[status(thm)],[22353, 22346, 22184])).
% 78.97/50.86 tff(22355,plain,
% 78.97/50.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22356,plain,
% 78.97/50.86 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))),
% 78.97/50.86 inference(rewrite,[status(thm)],[])).
% 78.97/50.86 tff(22357,plain,
% 78.97/50.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2)))),
% 78.97/50.86 inference(monotonicity,[status(thm)],[22356])).
% 78.97/50.86 tff(22358,plain,
% 78.97/50.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))),
% 78.97/50.86 inference(transitivity,[status(thm)],[22357, 22355])).
% 78.97/50.86 tff(22359,plain,
% 78.97/50.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2))),
% 78.97/50.86 inference(quant_inst,[status(thm)],[])).
% 78.97/50.86 tff(22360,plain,
% 78.97/50.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2)),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22359, 22358])).
% 78.97/50.87 tff(22361,plain,
% 78.97/50.87 ((~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22360, 1575, 22016])).
% 78.97/50.87 tff(22362,plain,
% 78.97/50.87 ((~v90(constB170, bitIndex2)) | v90(constB171, bitIndex2)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22361, 22028])).
% 78.97/50.87 tff(22363,plain,
% 78.97/50.87 (v90(constB171, bitIndex2)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22362, 22354])).
% 78.97/50.87 tff(22364,plain,
% 78.97/50.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB171, bitIndex2)) | (~v121(constB171)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB171, bitIndex2)) | (~v121(constB171)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22365,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB171, bitIndex2)) | (~v121(constB171)))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22366,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB171, bitIndex2)) | (~v121(constB171))),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22365, 22364])).
% 78.97/50.87 tff(22367,plain,
% 78.97/50.87 (~v121(constB171)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22366, 2218, 22363])).
% 78.97/50.87 tff(22368,plain,
% 78.97/50.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB171, bitIndex2)) | (~v122(constB171)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB171, bitIndex2)) | (~v122(constB171)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22369,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB171, bitIndex2)) | (~v122(constB171)))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22370,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB171, bitIndex2)) | (~v122(constB171))),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22369, 22368])).
% 78.97/50.87 tff(22371,plain,
% 78.97/50.87 (~v122(constB171)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22370, 2229, 22363])).
% 78.97/50.87 tff(22372,plain,
% 78.97/50.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22373,plain,
% 78.97/50.87 (((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1)) <=> ((~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22374,plain,
% 78.97/50.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1)))),
% 78.97/50.87 inference(monotonicity,[status(thm)],[22373])).
% 78.97/50.87 tff(22375,plain,
% 78.97/50.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1))),
% 78.97/50.87 inference(transitivity,[status(thm)],[22374, 22372])).
% 78.97/50.87 tff(22376,plain,
% 78.97/50.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22377,plain,
% 78.97/50.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB169, bitIndex1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex1)),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 78.97/50.87 tff(22378,plain,
% 78.97/50.87 ((~v90(constB169, bitIndex1)) | v100(constB170) | v90(constB170, bitIndex1)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22377, 1079, 21902])).
% 78.97/50.87 tff(22379,plain,
% 78.97/50.87 (v90(constB170, bitIndex1)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22378, 22331, 22184])).
% 78.97/50.87 tff(22380,plain,
% 78.97/50.87 (v90(constB171, bitIndex1)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22146, 22379])).
% 78.97/50.87 tff(22381,plain,
% 78.97/50.87 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB171)) | (~v90(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB171)) | (~v90(constB171, bitIndex1)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22382,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB171)) | (~v90(constB171, bitIndex1)))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22383,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB171)) | (~v90(constB171, bitIndex1))),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22382, 22381])).
% 78.97/50.87 tff(22384,plain,
% 78.97/50.87 (~v119(constB171)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22383, 2243, 22380])).
% 78.97/50.87 tff(22385,plain,
% 78.97/50.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB171, bitIndex1)) | (~v120(constB171)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB171, bitIndex1)) | (~v120(constB171)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22386,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB171, bitIndex1)) | (~v120(constB171)))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22387,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB171, bitIndex1)) | (~v120(constB171))),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22386, 22385])).
% 78.97/50.87 tff(22388,plain,
% 78.97/50.87 (~v120(constB171)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22387, 2254, 22380])).
% 78.97/50.87 tff(22389,plain,
% 78.97/50.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB171, bitIndex1)) | (~v123(constB171)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB171, bitIndex1)) | (~v123(constB171)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22390,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB171, bitIndex1)) | (~v123(constB171)))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22391,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB171, bitIndex1)) | (~v123(constB171))),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 78.97/50.87 tff(22392,plain,
% 78.97/50.87 (~v123(constB171)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22391, 2265, 22380])).
% 78.97/50.87 tff(22393,plain,
% 78.97/50.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB171, bitIndex1)) | (~v124(constB171)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB171, bitIndex1)) | (~v124(constB171)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22394,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB171, bitIndex1)) | (~v124(constB171)))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22395,plain,
% 78.97/50.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB171, bitIndex1)) | (~v124(constB171))),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22394, 22393])).
% 78.97/50.87 tff(22396,plain,
% 78.97/50.87 (~v124(constB171)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22395, 2276, 22380])).
% 78.97/50.87 tff(22397,plain,
% 78.97/50.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB171, bitIndex1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB171, bitIndex1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex1))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22398,plain,
% 78.97/50.87 (((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex1)) | v100(constB172) | v90(constB172, bitIndex1)) <=> ((~v90(constB171, bitIndex1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex1))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22399,plain,
% 78.97/50.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex1)) | v100(constB172) | v90(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB171, bitIndex1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex1)))),
% 78.97/50.87 inference(monotonicity,[status(thm)],[22398])).
% 78.97/50.87 tff(22400,plain,
% 78.97/50.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex1)) | v100(constB172) | v90(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB171, bitIndex1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex1))),
% 78.97/50.87 inference(transitivity,[status(thm)],[22399, 22397])).
% 78.97/50.87 tff(22401,plain,
% 78.97/50.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex1)) | v100(constB172) | v90(constB172, bitIndex1))),
% 78.97/50.87 inference(quant_inst,[status(thm)],[])).
% 78.97/50.87 tff(22402,plain,
% 78.97/50.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB171, bitIndex1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex1)),
% 78.97/50.87 inference(modus_ponens,[status(thm)],[22401, 22400])).
% 78.97/50.87 tff(22403,plain,
% 78.97/50.87 ((~v90(constB171, bitIndex1)) | v100(constB172) | v90(constB172, bitIndex1)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22402, 1079, 22132])).
% 78.97/50.87 tff(22404,plain,
% 78.97/50.87 (v100(constB172)),
% 78.97/50.87 inference(unit_resolution,[status(thm)],[22403, 22380, 22149])).
% 78.97/50.87 tff(22405,plain,
% 78.97/50.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~v129(constB172, bitIndex0)) | (~v100(constB172)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~v129(constB172, bitIndex0)) | (~v100(constB172)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22406,plain,
% 78.97/50.87 ((v90(constB172, bitIndex0) | (~v100(constB172)) | (~v129(constB172, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~v129(constB172, bitIndex0)) | (~v100(constB172)))),
% 78.97/50.87 inference(rewrite,[status(thm)],[])).
% 78.97/50.87 tff(22407,plain,
% 78.97/50.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~v100(constB172)) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~v129(constB172, bitIndex0)) | (~v100(constB172))))),
% 78.97/50.88 inference(monotonicity,[status(thm)],[22406])).
% 78.97/50.88 tff(22408,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~v100(constB172)) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~v129(constB172, bitIndex0)) | (~v100(constB172)))),
% 78.97/50.88 inference(transitivity,[status(thm)],[22407, 22405])).
% 78.97/50.88 tff(22409,plain,
% 78.97/50.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~v100(constB172)) | (~v129(constB172, bitIndex0)))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22410,plain,
% 78.97/50.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~v129(constB172, bitIndex0)) | (~v100(constB172))),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22409, 22408])).
% 78.97/50.88 tff(22411,plain,
% 78.97/50.88 ((~v129(constB172, bitIndex0)) | (~v100(constB172))),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22410, 818, 22151])).
% 78.97/50.88 tff(22412,plain,
% 78.97/50.88 (~v129(constB172, bitIndex0)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22411, 22404])).
% 78.97/50.88 tff(22413,plain,
% 78.97/50.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex0)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex0)) | v129(constB172, bitIndex0))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22414,plain,
% 78.97/50.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex0)) | v129(constB172, bitIndex0))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22415,plain,
% 78.97/50.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex0)) | v129(constB172, bitIndex0)),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 78.97/50.88 tff(22416,plain,
% 78.97/50.88 ((~v127(constB171, bitIndex0)) | v129(constB172, bitIndex0)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22415, 803, 22132])).
% 78.97/50.88 tff(22417,plain,
% 78.97/50.88 (~v127(constB171, bitIndex0)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22416, 22412])).
% 78.97/50.88 tff(22418,plain,
% 78.97/50.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22419,plain,
% 78.97/50.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22420,plain,
% 78.97/50.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0)),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 78.97/50.88 tff(22421,plain,
% 78.97/50.88 ((~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22420, 788, 22121])).
% 78.97/50.88 tff(22422,plain,
% 78.97/50.88 (~v130(constB171, bitIndex0)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22421, 22417])).
% 78.97/50.88 tff(22423,plain,
% 78.97/50.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB171) | v123(constB171) | v119(constB171) | v122(constB171) | v120(constB171) | v121(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB171) | v123(constB171) | v119(constB171) | v122(constB171) | v120(constB171) | v121(constB171) | v130(constB171, bitIndex0))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22424,plain,
% 78.97/50.88 ((v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0)) <=> (v124(constB171) | v123(constB171) | v119(constB171) | v122(constB171) | v120(constB171) | v121(constB171) | v130(constB171, bitIndex0))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22425,plain,
% 78.97/50.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB171) | v123(constB171) | v119(constB171) | v122(constB171) | v120(constB171) | v121(constB171) | v130(constB171, bitIndex0)))),
% 78.97/50.88 inference(monotonicity,[status(thm)],[22424])).
% 78.97/50.88 tff(22426,plain,
% 78.97/50.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB171) | v123(constB171) | v119(constB171) | v122(constB171) | v120(constB171) | v121(constB171) | v130(constB171, bitIndex0))),
% 78.97/50.88 inference(transitivity,[status(thm)],[22425, 22423])).
% 78.97/50.88 tff(22427,plain,
% 78.97/50.88 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22428,plain,
% 78.97/50.88 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB171) | v123(constB171) | v119(constB171) | v122(constB171) | v120(constB171) | v121(constB171) | v130(constB171, bitIndex0)),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 78.97/50.88 tff(22429,plain,
% 78.97/50.88 ($false),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22428, 2402, 22422, 22396, 22392, 22388, 22384, 22371, 22367])).
% 78.97/50.88 tff(22430,plain,(v108(constB169) | v90(constB172, bitIndex0) | v90(constB172, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.88 tff(22431,plain,
% 78.97/50.88 (v108(constB169)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22430, 22151, 22149])).
% 78.97/50.88 tff(22432,plain,
% 78.97/50.88 (v110(constB170)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[21976, 22431])).
% 78.97/50.88 tff(22433,plain,
% 78.97/50.88 (v100(constB170)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22002, 22432])).
% 78.97/50.88 tff(22434,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22435,plain,
% 78.97/50.88 ((v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22436,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))))),
% 78.97/50.88 inference(monotonicity,[status(thm)],[22435])).
% 78.97/50.88 tff(22437,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 78.97/50.88 inference(transitivity,[status(thm)],[22436, 22434])).
% 78.97/50.88 tff(22438,plain,
% 78.97/50.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22439,plain,
% 78.97/50.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22438, 22437])).
% 78.97/50.88 tff(22440,plain,
% 78.97/50.88 (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1))),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22439, 1061, 22433])).
% 78.97/50.88 tff(22441,plain,
% 78.97/50.88 (~v129(constB170, bitIndex1)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22440, 22147])).
% 78.97/50.88 tff(22442,plain,
% 78.97/50.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22443,plain,
% 78.97/50.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22444,plain,
% 78.97/50.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 78.97/50.88 tff(22445,plain,
% 78.97/50.88 ((~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22444, 1046, 21902])).
% 78.97/50.88 tff(22446,plain,
% 78.97/50.88 (~v127(constB169, bitIndex1)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22445, 22441])).
% 78.97/50.88 tff(22447,plain,
% 78.97/50.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22448,plain,
% 78.97/50.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22449,plain,
% 78.97/50.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22448, 22447])).
% 78.97/50.88 tff(22450,plain,
% 78.97/50.88 ((~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22449, 1031, 21891])).
% 78.97/50.88 tff(22451,plain,
% 78.97/50.88 (~v130(constB169, bitIndex1)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22450, 22446])).
% 78.97/50.88 tff(22452,plain,
% 78.97/50.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22453,plain,
% 78.97/50.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22454,plain,
% 78.97/50.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1)),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 78.97/50.88 tff(22455,plain,
% 78.97/50.88 (~v121(constB169)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22454, 1321, 22451])).
% 78.97/50.88 tff(22456,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22457,plain,
% 78.97/50.88 ((v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22458,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170))))),
% 78.97/50.88 inference(monotonicity,[status(thm)],[22457])).
% 78.97/50.88 tff(22459,plain,
% 78.97/50.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))),
% 78.97/50.88 inference(transitivity,[status(thm)],[22458, 22456])).
% 78.97/50.88 tff(22460,plain,
% 78.97/50.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2)))),
% 78.97/50.88 inference(quant_inst,[status(thm)],[])).
% 78.97/50.88 tff(22461,plain,
% 78.97/50.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170))),
% 78.97/50.88 inference(modus_ponens,[status(thm)],[22460, 22459])).
% 78.97/50.88 tff(22462,plain,
% 78.97/50.88 (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2))),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22461, 1539, 22433])).
% 78.97/50.88 tff(22463,plain,
% 78.97/50.88 (~v129(constB170, bitIndex2)),
% 78.97/50.88 inference(unit_resolution,[status(thm)],[22462, 22148])).
% 78.97/50.88 tff(22464,plain,
% 78.97/50.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2))),
% 78.97/50.88 inference(rewrite,[status(thm)],[])).
% 78.97/50.88 tff(22465,plain,
% 78.97/50.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22466,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 78.97/50.89 tff(22467,plain,
% 78.97/50.89 ((~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22466, 1449, 21902])).
% 78.97/50.89 tff(22468,plain,
% 78.97/50.89 (~v127(constB169, bitIndex2)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22467, 22463])).
% 78.97/50.89 tff(22469,plain,
% 78.97/50.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22470,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22471,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 78.97/50.89 tff(22472,plain,
% 78.97/50.89 ((~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22471, 1431, 21891])).
% 78.97/50.89 tff(22473,plain,
% 78.97/50.89 (~v130(constB169, bitIndex2)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22472, 22468])).
% 78.97/50.89 tff(22474,plain,
% 78.97/50.89 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB169)) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB169)) | v130(constB169, bitIndex2))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22475,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB169)) | v130(constB169, bitIndex2))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22476,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB169)) | v130(constB169, bitIndex2)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22475, 22474])).
% 78.97/50.89 tff(22477,plain,
% 78.97/50.89 (~v122(constB169)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22476, 1417, 22473])).
% 78.97/50.89 tff(22478,plain,
% 78.97/50.89 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB169)) | v130(constB169, bitIndex1))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22479,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB169)) | v130(constB169, bitIndex1))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22480,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB169)) | v130(constB169, bitIndex1)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22479, 22478])).
% 78.97/50.89 tff(22481,plain,
% 78.97/50.89 (~v120(constB169)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22480, 1017, 22451])).
% 78.97/50.89 tff(22482,plain,
% 78.97/50.89 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB169)) | v130(constB169, bitIndex1))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22483,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB169)) | v130(constB169, bitIndex1))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22484,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB169)) | v130(constB169, bitIndex1)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 78.97/50.89 tff(22485,plain,
% 78.97/50.89 (~v124(constB169)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22484, 1936, 22451])).
% 78.97/50.89 tff(22486,plain,
% 78.97/50.89 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB169)) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB169)) | v130(constB169, bitIndex2))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22487,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB169)) | v130(constB169, bitIndex2))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22488,plain,
% 78.97/50.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB169)) | v130(constB169, bitIndex2)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22487, 22486])).
% 78.97/50.89 tff(22489,plain,
% 78.97/50.89 (~v123(constB169)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22488, 1877, 22473])).
% 78.97/50.89 tff(22490,plain,
% 78.97/50.89 (v130(constB169, bitIndex0) | v124(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22079, 2402, 22293])).
% 78.97/50.89 tff(22491,plain,
% 78.97/50.89 (v130(constB169, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22490, 22489, 22485, 22481, 22477, 22455])).
% 78.97/50.89 tff(22492,plain,
% 78.97/50.89 (v127(constB169, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22084, 22491])).
% 78.97/50.89 tff(22493,plain,
% 78.97/50.89 (v129(constB170, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22089, 22492])).
% 78.97/50.89 tff(22494,plain,
% 78.97/50.89 (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22096, 818, 22433])).
% 78.97/50.89 tff(22495,plain,
% 78.97/50.89 (v90(constB170, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22494, 22493])).
% 78.97/50.89 tff(22496,plain,
% 78.97/50.89 (v90(constB171, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22105, 22495])).
% 78.97/50.89 tff(22497,plain,
% 78.97/50.89 ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex2) | v120(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22112, 855, 22138])).
% 78.97/50.89 tff(22498,plain,
% 78.97/50.89 (v120(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22497, 22496, 22150])).
% 78.97/50.89 tff(22499,plain,
% 78.97/50.89 (v100(constB172)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22268, 22496, 22151])).
% 78.97/50.89 tff(22500,plain,
% 78.97/50.89 (~v129(constB172, bitIndex1)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22276, 22499])).
% 78.97/50.89 tff(22501,plain,
% 78.97/50.89 (~v127(constB171, bitIndex1)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22281, 22500])).
% 78.97/50.89 tff(22502,plain,
% 78.97/50.89 (~v130(constB171, bitIndex1)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22286, 22501])).
% 78.97/50.89 tff(22503,plain,
% 78.97/50.89 ($false),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22290, 1017, 22502, 22498])).
% 78.97/50.89 tff(22504,plain,(v90(constB170, bitIndex2) | v90(constB172, bitIndex1) | v90(constB171, bitIndex1) | v90(constB172, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 78.97/50.89 tff(22505,plain,
% 78.97/50.89 (v90(constB172, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22504, 22138, 22148, 22149])).
% 78.97/50.89 tff(22506,assumption,(v90(constB172, bitIndex0)), introduced(assumption)).
% 78.97/50.89 tff(22507,assumption,(~v100(constB172)), introduced(assumption)).
% 78.97/50.89 tff(22508,plain,
% 78.97/50.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex0)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22509,plain,
% 78.97/50.89 (((~nextState(constB171, constB172)) | v90(constB171, bitIndex0) | v100(constB172) | (~v90(constB172, bitIndex0))) <=> (v90(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex0)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22510,plain,
% 78.97/50.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v90(constB171, bitIndex0) | v100(constB172) | (~v90(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex0))))),
% 78.97/50.89 inference(monotonicity,[status(thm)],[22509])).
% 78.97/50.89 tff(22511,plain,
% 78.97/50.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v90(constB171, bitIndex0) | v100(constB172) | (~v90(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex0)))),
% 78.97/50.89 inference(transitivity,[status(thm)],[22510, 22508])).
% 78.97/50.89 tff(22512,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v90(constB171, bitIndex0) | v100(constB172) | (~v90(constB172, bitIndex0)))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22513,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex0))),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 78.97/50.89 tff(22514,plain,
% 78.97/50.89 (v90(constB171, bitIndex0) | v100(constB172) | (~v90(constB172, bitIndex0))),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22513, 381, 22132])).
% 78.97/50.89 tff(22515,plain,
% 78.97/50.89 (v90(constB171, bitIndex0)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22514, 22507, 22506])).
% 78.97/50.89 tff(22516,assumption,(~v90(constB171, bitIndex2)), introduced(assumption)).
% 78.97/50.89 tff(22517,plain,
% 78.97/50.89 ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v120(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22112, 855, 22516])).
% 78.97/50.89 tff(22518,plain,
% 78.97/50.89 (v120(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22517, 22515, 22138])).
% 78.97/50.89 tff(22519,plain,
% 78.97/50.89 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22520,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22521,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171))),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22520, 22519])).
% 78.97/50.89 tff(22522,plain,
% 78.97/50.89 (v118(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22521, 908, 22518])).
% 78.97/50.89 tff(22523,plain,
% 78.97/50.89 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22524,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22525,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171))),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 78.97/50.89 tff(22526,plain,
% 78.97/50.89 (v117(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22525, 497, 22522])).
% 78.97/50.89 tff(22527,plain,
% 78.97/50.89 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22528,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22529,plain,
% 78.97/50.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171))),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22528, 22527])).
% 78.97/50.89 tff(22530,plain,
% 78.97/50.89 (v116(constB171)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22529, 508, 22526])).
% 78.97/50.89 tff(22531,plain,
% 78.97/50.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22532,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22533,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22532, 22531])).
% 78.97/50.89 tff(22534,plain,
% 78.97/50.89 (~v104(constB172)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22533, 589, 22132, 22013])).
% 78.97/50.89 tff(22535,plain,
% 78.97/50.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22536,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22537,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 78.97/50.89 tff(22538,plain,
% 78.97/50.89 (v102(constB172) | v104(constB172)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22537, 603, 22132])).
% 78.97/50.89 tff(22539,plain,
% 78.97/50.89 (v102(constB172)),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22538, 22534])).
% 78.97/50.89 tff(22540,plain,
% 78.97/50.89 (v1(constB172) <=> v1(constB172)),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22541,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 78.97/50.89 tff(22542,plain,
% 78.97/50.89 (v1(constB172)),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22541, 22540])).
% 78.97/50.89 tff(22543,plain,
% 78.97/50.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 78.97/50.89 inference(rewrite,[status(thm)],[])).
% 78.97/50.89 tff(22544,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 78.97/50.89 inference(quant_inst,[status(thm)],[])).
% 78.97/50.89 tff(22545,plain,
% 78.97/50.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 78.97/50.89 inference(modus_ponens,[status(thm)],[22544, 22543])).
% 78.97/50.89 tff(22546,plain,
% 78.97/50.89 (v101(constB172) | (~v102(constB172))),
% 78.97/50.89 inference(unit_resolution,[status(thm)],[22545, 621, 22132, 22542])).
% 78.97/50.90 tff(22547,plain,
% 78.97/50.90 (v101(constB172)),
% 78.97/50.90 inference(unit_resolution,[status(thm)],[22546, 22539])).
% 78.97/50.90 tff(22548,plain,
% 78.97/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 78.97/50.90 inference(rewrite,[status(thm)],[])).
% 78.97/50.90 tff(22549,plain,
% 78.97/50.90 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 78.97/50.90 inference(rewrite,[status(thm)],[])).
% 78.97/50.90 tff(22550,plain,
% 78.97/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 78.97/50.90 inference(monotonicity,[status(thm)],[22549])).
% 78.97/50.90 tff(22551,plain,
% 78.97/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 78.97/50.90 inference(transitivity,[status(thm)],[22550, 22548])).
% 78.97/50.90 tff(22552,plain,
% 78.97/50.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 78.97/50.90 inference(quant_inst,[status(thm)],[])).
% 78.97/50.90 tff(22553,plain,
% 78.97/50.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 78.97/50.90 inference(modus_ponens,[status(thm)],[22552, 22551])).
% 78.97/50.90 tff(22554,plain,
% 78.97/50.90 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 78.97/50.90 inference(unit_resolution,[status(thm)],[22553, 636, 22132])).
% 78.97/50.90 tff(22555,plain,
% 78.97/50.90 (v100(constB172) | (~v110(constB172))),
% 78.97/50.90 inference(unit_resolution,[status(thm)],[22554, 22547])).
% 78.97/50.90 tff(22556,plain,
% 78.97/50.90 (~v110(constB172)),
% 78.97/50.90 inference(unit_resolution,[status(thm)],[22555, 22507])).
% 78.97/50.90 tff(22557,plain,
% 78.97/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 78.97/50.90 inference(rewrite,[status(thm)],[])).
% 78.97/50.90 tff(22558,plain,
% 78.97/50.90 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 78.97/50.90 inference(rewrite,[status(thm)],[])).
% 78.97/50.90 tff(22559,plain,
% 78.97/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 78.97/50.90 inference(monotonicity,[status(thm)],[22558])).
% 78.97/50.90 tff(22560,plain,
% 78.97/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 79.07/50.90 inference(transitivity,[status(thm)],[22559, 22557])).
% 79.07/50.90 tff(22561,plain,
% 79.07/50.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22562,plain,
% 79.07/50.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 79.07/50.90 tff(22563,plain,
% 79.07/50.90 (v110(constB172) | (~v108(constB171))),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22562, 571, 22132])).
% 79.07/50.90 tff(22564,plain,
% 79.07/50.90 (~v108(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22563, 22556])).
% 79.07/50.90 tff(22565,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22566,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22567,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 79.07/50.90 tff(22568,plain,
% 79.07/50.90 (~v112(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22567, 464, 22564])).
% 79.07/50.90 tff(22569,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22570,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22571,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | (~v113(constB171)) | v112(constB171)),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 79.07/50.90 tff(22572,plain,
% 79.07/50.90 ((~v113(constB171)) | v112(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22571, 555, 22121])).
% 79.07/50.90 tff(22573,plain,
% 79.07/50.90 (~v113(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22572, 22568])).
% 79.07/50.90 tff(22574,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22575,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22576,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22575, 22574])).
% 79.07/50.90 tff(22577,plain,
% 79.07/50.90 (~v114(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22576, 541, 22573])).
% 79.07/50.90 tff(22578,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22579,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22580,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22579, 22578])).
% 79.07/50.90 tff(22581,plain,
% 79.07/50.90 (~v115(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22580, 530, 22577])).
% 79.07/50.90 tff(22582,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22583,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22584,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 79.07/50.90 tff(22585,plain,
% 79.07/50.90 ($false),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22584, 519, 22581, 22530])).
% 79.07/50.90 tff(22586,plain,(v100(constB172) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB172, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 79.07/50.90 tff(22587,plain,
% 79.07/50.90 (v100(constB172)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22586, 22138, 22150, 22505])).
% 79.07/50.90 tff(22588,plain,
% 79.07/50.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22589,plain,
% 79.07/50.90 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22590,plain,
% 79.07/50.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 79.07/50.90 inference(monotonicity,[status(thm)],[22589])).
% 79.07/50.90 tff(22591,plain,
% 79.07/50.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 79.07/50.90 inference(transitivity,[status(thm)],[22590, 22588])).
% 79.07/50.90 tff(22592,plain,
% 79.07/50.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22593,plain,
% 79.07/50.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 79.07/50.90 tff(22594,plain,
% 79.07/50.90 (v129(constB172, bitIndex0) | (~v100(constB172))),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22593, 1145, 22505])).
% 79.07/50.90 tff(22595,plain,
% 79.07/50.90 (v129(constB172, bitIndex0)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22594, 22587])).
% 79.07/50.90 tff(22596,plain,
% 79.07/50.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22597,plain,
% 79.07/50.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22598,plain,
% 79.07/50.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 79.07/50.90 tff(22599,plain,
% 79.07/50.90 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22598, 1130, 22132])).
% 79.07/50.90 tff(22600,plain,
% 79.07/50.90 (v127(constB171, bitIndex0)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22599, 22595])).
% 79.07/50.90 tff(22601,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22602,plain,
% 79.07/50.90 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22603,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 79.07/50.90 inference(monotonicity,[status(thm)],[22602])).
% 79.07/50.90 tff(22604,plain,
% 79.07/50.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 79.07/50.90 inference(transitivity,[status(thm)],[22603, 22601])).
% 79.07/50.90 tff(22605,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22606,plain,
% 79.07/50.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22605, 22604])).
% 79.07/50.90 tff(22607,plain,
% 79.07/50.90 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22606, 1112, 22121])).
% 79.07/50.90 tff(22608,plain,
% 79.07/50.90 (v130(constB171, bitIndex0)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22607, 22600])).
% 79.07/50.90 tff(22609,plain,
% 79.07/50.90 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 79.07/50.90 inference(rewrite,[status(thm)],[])).
% 79.07/50.90 tff(22610,plain,
% 79.07/50.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 79.07/50.90 inference(quant_inst,[status(thm)],[])).
% 79.07/50.90 tff(22611,plain,
% 79.07/50.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0))),
% 79.07/50.90 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 79.07/50.90 tff(22612,plain,
% 79.07/50.90 (~v120(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22611, 1098, 22608])).
% 79.07/50.90 tff(22613,plain,
% 79.07/50.90 ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v120(constB171)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22112, 855, 22150])).
% 79.07/50.90 tff(22614,plain,
% 79.07/50.90 (~v90(constB171, bitIndex0)),
% 79.07/50.90 inference(unit_resolution,[status(thm)],[22613, 22612, 22138])).
% 79.07/50.91 tff(22615,plain,
% 79.07/50.91 (~v90(constB170, bitIndex0)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22105, 22614])).
% 79.07/50.91 tff(22616,assumption,(~v100(constB170)), introduced(assumption)).
% 79.07/50.91 tff(22617,plain,
% 79.07/50.91 (~v110(constB170)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22002, 22616])).
% 79.07/50.91 tff(22618,plain,
% 79.07/50.91 (~v108(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[21976, 22617])).
% 79.07/50.91 tff(22619,plain,
% 79.07/50.91 (~v113(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[21968, 22618])).
% 79.07/50.91 tff(22620,plain,
% 79.07/50.91 (~v114(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22188, 541, 22619])).
% 79.07/50.91 tff(22621,plain,
% 79.07/50.91 (~v115(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22192, 530, 22620])).
% 79.07/50.91 tff(22622,plain,
% 79.07/50.91 (~v116(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22196, 519, 22621])).
% 79.07/50.91 tff(22623,plain,
% 79.07/50.91 (~v90(constB169, bitIndex2)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22353, 22616, 22148])).
% 79.07/50.91 tff(22624,assumption,(~v90(constB170, bitIndex1)), introduced(assumption)).
% 79.07/50.91 tff(22625,plain,
% 79.07/50.91 (~v90(constB169, bitIndex1)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22378, 22616, 22624])).
% 79.07/50.91 tff(22626,assumption,(~v90(constB170, bitIndex0)), introduced(assumption)).
% 79.07/50.91 tff(22627,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22628,plain,
% 79.07/50.91 (((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0)) <=> ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22629,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0)))),
% 79.07/50.91 inference(monotonicity,[status(thm)],[22628])).
% 79.07/50.91 tff(22630,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 79.07/50.91 inference(transitivity,[status(thm)],[22629, 22627])).
% 79.07/50.91 tff(22631,plain,
% 79.07/50.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))),
% 79.07/50.91 inference(quant_inst,[status(thm)],[])).
% 79.07/50.91 tff(22632,plain,
% 79.07/50.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0)),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 79.07/50.91 tff(22633,plain,
% 79.07/50.91 ((~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22632, 836, 21902])).
% 79.07/50.91 tff(22634,plain,
% 79.07/50.91 (~v90(constB169, bitIndex0)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22633, 22616, 22626])).
% 79.07/50.91 tff(22635,plain,
% 79.07/50.91 (v119(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22313, 402, 22634, 22625, 22623])).
% 79.07/50.91 tff(22636,plain,
% 79.07/50.91 (v118(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22221, 486, 22635])).
% 79.07/50.91 tff(22637,plain,
% 79.07/50.91 (v117(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22225, 497, 22636])).
% 79.07/50.91 tff(22638,plain,
% 79.07/50.91 ($false),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22204, 508, 22637, 22622])).
% 79.07/50.91 tff(22639,plain,(v100(constB170) | v90(constB170, bitIndex0) | v90(constB170, bitIndex2) | v90(constB170, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 79.07/50.91 tff(22640,plain,
% 79.07/50.91 (v100(constB170)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22639, 22615, 22148, 22147])).
% 79.07/50.91 tff(22641,plain,
% 79.07/50.91 ((~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22096, 818, 22615])).
% 79.07/50.91 tff(22642,plain,
% 79.07/50.91 (~v129(constB170, bitIndex0)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22641, 22640])).
% 79.07/50.91 tff(22643,plain,
% 79.07/50.91 (~v127(constB169, bitIndex0)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22089, 22642])).
% 79.07/50.91 tff(22644,plain,
% 79.07/50.91 (~v130(constB169, bitIndex0)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22084, 22643])).
% 79.07/50.91 tff(22645,plain,
% 79.07/50.91 ((~v129(constB170, bitIndex2)) | (~v100(constB170))),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22461, 1539, 22148])).
% 79.07/50.91 tff(22646,plain,
% 79.07/50.91 (~v129(constB170, bitIndex2)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22645, 22640])).
% 79.07/50.91 tff(22647,plain,
% 79.07/50.91 (~v127(constB169, bitIndex2)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22467, 22646])).
% 79.07/50.91 tff(22648,plain,
% 79.07/50.91 (~v130(constB169, bitIndex2)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22472, 22647])).
% 79.07/50.91 tff(22649,plain,
% 79.07/50.91 (~v122(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22476, 1417, 22648])).
% 79.07/50.91 tff(22650,plain,
% 79.07/50.91 ((~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22439, 1061, 22147])).
% 79.07/50.91 tff(22651,plain,
% 79.07/50.91 (~v129(constB170, bitIndex1)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22650, 22640])).
% 79.07/50.91 tff(22652,plain,
% 79.07/50.91 (~v127(constB169, bitIndex1)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22445, 22651])).
% 79.07/50.91 tff(22653,plain,
% 79.07/50.91 (~v130(constB169, bitIndex1)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22450, 22652])).
% 79.07/50.91 tff(22654,plain,
% 79.07/50.91 (~v121(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22454, 1321, 22653])).
% 79.07/50.91 tff(22655,plain,
% 79.07/50.91 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB169)) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB169)) | v130(constB169, bitIndex2))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22656,plain,
% 79.07/50.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB169)) | v130(constB169, bitIndex2))),
% 79.07/50.91 inference(quant_inst,[status(thm)],[])).
% 79.07/50.91 tff(22657,plain,
% 79.07/50.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB169)) | v130(constB169, bitIndex2)),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22656, 22655])).
% 79.07/50.91 tff(22658,plain,
% 79.07/50.91 (~v124(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22657, 2050, 22648])).
% 79.07/50.91 tff(22659,plain,
% 79.07/50.91 (~v123(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22488, 1877, 22648])).
% 79.07/50.91 tff(22660,plain,
% 79.07/50.91 (~v120(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22480, 1017, 22653])).
% 79.07/50.91 tff(22661,plain,
% 79.07/50.91 (v119(constB169)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22079, 2402, 22660, 22659, 22658, 22654, 22649, 22644])).
% 79.07/50.91 tff(22662,plain,
% 79.07/50.91 ($false),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22254, 774, 22661, 22644])).
% 79.07/50.91 tff(22663,plain,(v90(constB171, bitIndex1) | v90(constB170, bitIndex2) | v90(constB172, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 79.07/50.91 tff(22664,plain,
% 79.07/50.91 (v90(constB172, bitIndex1)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22663, 22010, 22073])).
% 79.07/50.91 tff(22665,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB171, bitIndex1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB171, bitIndex1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex1)))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22666,plain,
% 79.07/50.91 (((~nextState(constB171, constB172)) | v90(constB171, bitIndex1) | v100(constB172) | (~v90(constB172, bitIndex1))) <=> (v90(constB171, bitIndex1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex1)))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22667,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v90(constB171, bitIndex1) | v100(constB172) | (~v90(constB172, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB171, bitIndex1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex1))))),
% 79.07/50.91 inference(monotonicity,[status(thm)],[22666])).
% 79.07/50.91 tff(22668,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v90(constB171, bitIndex1) | v100(constB172) | (~v90(constB172, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB171, bitIndex1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex1)))),
% 79.07/50.91 inference(transitivity,[status(thm)],[22667, 22665])).
% 79.07/50.91 tff(22669,plain,
% 79.07/50.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v90(constB171, bitIndex1) | v100(constB172) | (~v90(constB172, bitIndex1)))),
% 79.07/50.91 inference(quant_inst,[status(thm)],[])).
% 79.07/50.91 tff(22670,plain,
% 79.07/50.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB171, bitIndex1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, bitIndex1))),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 79.07/50.91 tff(22671,plain,
% 79.07/50.91 (v90(constB171, bitIndex1) | v100(constB172) | (~v90(constB172, bitIndex1))),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22670, 360, 22132])).
% 79.07/50.91 tff(22672,plain,
% 79.07/50.91 (v100(constB172)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22671, 22073, 22664])).
% 79.07/50.91 tff(22673,plain,
% 79.07/50.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22674,plain,
% 79.07/50.91 (((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22675,plain,
% 79.07/50.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))))),
% 79.07/50.91 inference(monotonicity,[status(thm)],[22674])).
% 79.07/50.91 tff(22676,plain,
% 79.07/50.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 79.07/50.91 inference(transitivity,[status(thm)],[22675, 22673])).
% 79.07/50.91 tff(22677,plain,
% 79.07/50.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))),
% 79.07/50.91 inference(quant_inst,[status(thm)],[])).
% 79.07/50.91 tff(22678,plain,
% 79.07/50.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22677, 22676])).
% 79.07/50.91 tff(22679,plain,
% 79.07/50.91 ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22678, 655, 22672])).
% 79.07/50.91 tff(22680,plain,
% 79.07/50.91 (~v90(constB172, bitIndex2)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22679, 22137])).
% 79.07/50.91 tff(22681,plain,
% 79.07/50.91 ((~v1(constB173)) <=> (~v1(constB173))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22682,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 79.07/50.91 tff(22683,plain,
% 79.07/50.91 (~v1(constB173)),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22682, 22681])).
% 79.07/50.91 tff(22684,plain,
% 79.07/50.91 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22685,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 79.07/50.91 tff(22686,plain,
% 79.07/50.91 (nextState(constB172, constB173)),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22685, 22684])).
% 79.07/50.91 tff(22687,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22688,plain,
% 79.07/50.91 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 79.07/50.91 inference(rewrite,[status(thm)],[])).
% 79.07/50.91 tff(22689,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 79.07/50.91 inference(monotonicity,[status(thm)],[22688])).
% 79.07/50.91 tff(22690,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 79.07/50.91 inference(transitivity,[status(thm)],[22689, 22687])).
% 79.07/50.91 tff(22691,plain,
% 79.07/50.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 79.07/50.91 inference(quant_inst,[status(thm)],[])).
% 79.07/50.91 tff(22692,plain,
% 79.07/50.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 79.07/50.91 inference(modus_ponens,[status(thm)],[22691, 22690])).
% 79.07/50.91 tff(22693,plain,
% 79.07/50.91 (~v101(constB173)),
% 79.07/50.91 inference(unit_resolution,[status(thm)],[22692, 307, 22686, 22683])).
% 79.07/50.91 tff(22694,plain,
% 79.07/50.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 79.07/50.92 inference(rewrite,[status(thm)],[])).
% 79.07/50.92 tff(22695,plain,
% 79.07/50.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 79.07/50.92 inference(quant_inst,[status(thm)],[])).
% 79.07/50.92 tff(22696,plain,
% 79.07/50.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 79.07/50.92 inference(modus_ponens,[status(thm)],[22695, 22694])).
% 79.07/50.92 tff(22697,plain,
% 79.07/50.92 (v101(constB173) | (~v100(constB173))),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22696, 324, 22686])).
% 79.07/50.92 tff(22698,plain,
% 79.07/50.92 (~v100(constB173)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22697, 22693])).
% 79.07/50.92 tff(22699,plain,
% 79.07/50.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 79.07/50.92 inference(rewrite,[status(thm)],[])).
% 79.07/50.92 tff(22700,plain,
% 79.07/50.92 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 79.07/50.92 inference(rewrite,[status(thm)],[])).
% 79.07/50.92 tff(22701,plain,
% 79.07/50.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))))),
% 79.07/50.92 inference(monotonicity,[status(thm)],[22700])).
% 79.07/50.92 tff(22702,plain,
% 79.07/50.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 79.07/50.92 inference(transitivity,[status(thm)],[22701, 22699])).
% 79.07/50.92 tff(22703,plain,
% 79.07/50.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 79.07/50.92 inference(quant_inst,[status(thm)],[])).
% 79.07/50.92 tff(22704,plain,
% 79.07/50.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 79.07/50.92 inference(modus_ponens,[status(thm)],[22703, 22702])).
% 79.07/50.92 tff(22705,plain,
% 79.07/50.92 (v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22704, 339, 22686])).
% 79.07/50.92 tff(22706,plain,
% 79.07/50.92 (v90(constB172, bitIndex2) | (~v90(constB173, bitIndex2))),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22705, 22698])).
% 79.07/50.92 tff(22707,plain,
% 79.07/50.92 (~v90(constB173, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22706, 22680])).
% 79.07/50.92 tff(22708,plain,
% 79.07/50.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 79.07/50.92 inference(rewrite,[status(thm)],[])).
% 79.07/50.92 tff(22709,plain,
% 79.07/50.92 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 79.07/50.92 inference(rewrite,[status(thm)],[])).
% 79.07/50.92 tff(22710,plain,
% 79.07/50.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)))),
% 79.07/50.92 inference(monotonicity,[status(thm)],[22709])).
% 79.07/50.92 tff(22711,plain,
% 79.07/50.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 79.07/50.92 inference(transitivity,[status(thm)],[22710, 22708])).
% 79.07/50.92 tff(22712,plain,
% 79.07/50.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))),
% 79.07/50.92 inference(quant_inst,[status(thm)],[])).
% 79.07/50.92 tff(22713,plain,
% 79.07/50.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)),
% 79.07/50.92 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 79.07/50.92 tff(22714,plain,
% 79.07/50.92 ((~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22713, 1079, 22686])).
% 79.07/50.92 tff(22715,plain,
% 79.07/50.92 ((~v90(constB172, bitIndex1)) | v90(constB173, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22714, 22698])).
% 79.07/50.92 tff(22716,plain,
% 79.07/50.92 (v90(constB173, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22715, 22664])).
% 79.07/50.92 tff(22717,assumption,(~v26(constB167)), introduced(assumption)).
% 79.07/50.92 tff(22718,plain,
% 79.07/50.92 (v127(constB167, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21719, 22717])).
% 79.07/50.92 tff(22719,plain,
% 79.07/50.92 (v129(constB168, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21727, 22718])).
% 79.07/50.92 tff(22720,plain,
% 79.07/50.92 (v90(constB168, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21797, 22719])).
% 79.07/50.92 tff(22721,plain,
% 79.07/50.92 (v90(constB169, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21824, 22720])).
% 79.07/50.92 tff(22722,plain,
% 79.07/50.92 (~v122(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21828, 2229, 22721])).
% 79.07/50.92 tff(22723,plain,
% 79.07/50.92 (~v121(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21832, 2218, 22721])).
% 79.07/50.92 tff(22724,plain,
% 79.07/50.92 (v127(constB167, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21841, 22717])).
% 79.07/50.92 tff(22725,plain,
% 79.07/50.92 (v129(constB168, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21846, 22724])).
% 79.07/50.92 tff(22726,plain,
% 79.07/50.92 (v90(constB168, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21854, 22725])).
% 79.07/50.92 tff(22727,plain,
% 79.07/50.92 (v90(constB169, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21863, 22726])).
% 79.07/50.92 tff(22728,plain,
% 79.07/50.92 (~v124(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21867, 2276, 22727])).
% 79.07/50.92 tff(22729,plain,
% 79.07/50.92 (~v123(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21871, 2265, 22727])).
% 79.07/50.92 tff(22730,plain,
% 79.07/50.92 (~v119(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21875, 2243, 22727])).
% 79.07/50.92 tff(22731,plain,
% 79.07/50.92 (~v120(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21879, 2254, 22727])).
% 79.07/50.92 tff(22732,plain,
% 79.07/50.92 (~v130(constB169, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21886, 2290, 22731, 22730, 22729, 22728, 22723, 22722])).
% 79.07/50.92 tff(22733,plain,
% 79.07/50.92 (~v127(constB169, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21898, 22732])).
% 79.07/50.92 tff(22734,plain,
% 79.07/50.92 (~v129(constB170, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21906, 22733])).
% 79.07/50.92 tff(22735,plain,
% 79.07/50.92 (~v127(constB167, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21918, 22717])).
% 79.07/50.92 tff(22736,plain,
% 79.07/50.92 (~v129(constB168, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21923, 22735])).
% 79.07/50.92 tff(22737,plain,
% 79.07/50.92 (~v90(constB168, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21931, 22736])).
% 79.07/50.92 tff(22738,plain,
% 79.07/50.92 (~v90(constB169, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21940, 22737])).
% 79.07/50.92 tff(22739,plain,
% 79.07/50.92 (v125(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21944, 2156, 22738, 22727, 22721])).
% 79.07/50.92 tff(22740,plain,
% 79.07/50.92 (v113(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21948, 2167, 22739])).
% 79.07/50.92 tff(22741,plain,
% 79.07/50.92 (v108(constB169)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21968, 22740])).
% 79.07/50.92 tff(22742,plain,
% 79.07/50.92 (v110(constB170)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[21976, 22741])).
% 79.07/50.92 tff(22743,plain,
% 79.07/50.92 (v100(constB170)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22002, 22742])).
% 79.07/50.92 tff(22744,plain,
% 79.07/50.92 (~v90(constB170, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22009, 655, 22743, 22734])).
% 79.07/50.92 tff(22745,plain,
% 79.07/50.92 (~v90(constB171, bitIndex2)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22036, 22744])).
% 79.07/50.92 tff(22746,plain,
% 79.07/50.92 (~v130(constB169, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22043, 2355, 22731, 22730, 22729, 22728, 22723, 22722])).
% 79.07/50.92 tff(22747,plain,
% 79.07/50.92 (~v127(constB169, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22051, 22746])).
% 79.07/50.92 tff(22748,plain,
% 79.07/50.92 (~v129(constB170, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22056, 22747])).
% 79.07/50.92 tff(22749,plain,
% 79.07/50.92 (~v90(constB170, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22063, 747, 22743, 22748])).
% 79.07/50.92 tff(22750,plain,
% 79.07/50.92 (~v90(constB171, bitIndex1)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22072, 22749])).
% 79.07/50.92 tff(22751,plain,
% 79.07/50.92 (v130(constB169, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22079, 2402, 22731, 22730, 22729, 22728, 22723, 22722])).
% 79.07/50.92 tff(22752,plain,
% 79.07/50.92 (v127(constB169, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22084, 22751])).
% 79.07/50.92 tff(22753,plain,
% 79.07/50.92 (v129(constB170, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22089, 22752])).
% 79.07/50.92 tff(22754,plain,
% 79.07/50.92 (v90(constB170, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22096, 818, 22743, 22753])).
% 79.07/50.92 tff(22755,plain,
% 79.07/50.92 (v90(constB171, bitIndex0)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22105, 22754])).
% 79.07/50.92 tff(22756,plain,
% 79.07/50.92 (v120(constB171)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22112, 855, 22755, 22750, 22745])).
% 79.07/50.92 tff(22757,assumption,(v90(constB172, bitIndex1)), introduced(assumption)).
% 79.07/50.92 tff(22758,plain,
% 79.07/50.92 (v100(constB172)),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22671, 22750, 22757])).
% 79.07/50.92 tff(22759,plain,
% 79.07/50.92 (v129(constB172, bitIndex0) | (~v100(constB172))),
% 79.07/50.92 inference(unit_resolution,[status(thm)],[22593, 1145, 22506])).
% 79.07/50.92 tff(22760,plain,
% 79.07/50.92 (v129(constB172, bitIndex0)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22759, 22758])).
% 79.07/50.93 tff(22761,plain,
% 79.07/50.93 (v127(constB171, bitIndex0)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22599, 22760])).
% 79.07/50.93 tff(22762,plain,
% 79.07/50.93 (v130(constB171, bitIndex0)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22607, 22761])).
% 79.07/50.93 tff(22763,plain,
% 79.07/50.93 ($false),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22611, 1098, 22762, 22756])).
% 79.07/50.93 tff(22764,plain,(v26(constB167) | (~v90(constB172, bitIndex0)) | (~v90(constB172, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 79.07/50.93 tff(22765,plain,
% 79.07/50.93 (~v90(constB172, bitIndex0)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22764, 22664, 20972])).
% 79.07/50.93 tff(22766,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22767,plain,
% 79.07/50.93 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22768,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 79.07/50.93 inference(monotonicity,[status(thm)],[22767])).
% 79.07/50.93 tff(22769,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 79.07/50.93 inference(transitivity,[status(thm)],[22768, 22766])).
% 79.07/50.93 tff(22770,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22771,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22770, 22769])).
% 79.07/50.93 tff(22772,plain,
% 79.07/50.93 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22771, 381, 22686])).
% 79.07/50.93 tff(22773,plain,
% 79.07/50.93 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22772, 22698])).
% 79.07/50.93 tff(22774,plain,
% 79.07/50.93 (~v90(constB173, bitIndex0)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22773, 22765])).
% 79.07/50.93 tff(22775,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22776,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22777,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173)),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22776, 22775])).
% 79.07/50.93 tff(22778,plain,
% 79.07/50.93 (v90(constB173, bitIndex2) | v121(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22777, 1172, 22774, 22716])).
% 79.07/50.93 tff(22779,plain,
% 79.07/50.93 (v121(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22778, 22707])).
% 79.07/50.93 tff(22780,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22781,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22782,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22781, 22780])).
% 79.07/50.93 tff(22783,plain,
% 79.07/50.93 (v117(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22782, 1183, 22779])).
% 79.07/50.93 tff(22784,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22785,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22786,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22785, 22784])).
% 79.07/50.93 tff(22787,plain,
% 79.07/50.93 (v116(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22786, 508, 22783])).
% 79.07/50.93 tff(22788,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22789,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22790,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22789, 22788])).
% 79.07/50.93 tff(22791,plain,
% 79.07/50.93 (v115(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22790, 519, 22787])).
% 79.07/50.93 tff(22792,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22793,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22794,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22793, 22792])).
% 79.07/50.93 tff(22795,plain,
% 79.07/50.93 (v114(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22794, 530, 22791])).
% 79.07/50.93 tff(22796,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22797,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22798,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22797, 22796])).
% 79.07/50.93 tff(22799,plain,
% 79.07/50.93 (v113(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22798, 541, 22795])).
% 79.07/50.93 tff(22800,assumption,(v26(constB173)), introduced(assumption)).
% 79.07/50.93 tff(22801,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22802,plain,
% 79.07/50.93 ($false),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22801, 14, 22800])).
% 79.07/50.93 tff(22803,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 79.07/50.93 tff(22804,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22805,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22806,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22805, 22804])).
% 79.07/50.93 tff(22807,plain,
% 79.07/50.93 ((~v113(constB173)) | v112(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22806, 555, 22803])).
% 79.07/50.93 tff(22808,plain,
% 79.07/50.93 (v112(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22807, 22799])).
% 79.07/50.93 tff(22809,plain,
% 79.07/50.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22810,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22811,plain,
% 79.07/50.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 79.07/50.93 tff(22812,plain,
% 79.07/50.93 (v108(constB173)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22811, 464, 22808])).
% 79.07/50.93 tff(22813,plain,
% 79.07/50.93 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22814,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 79.07/50.93 tff(22815,plain,
% 79.07/50.93 (nextState(constB173, constB174)),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22814, 22813])).
% 79.07/50.93 tff(22816,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22817,plain,
% 79.07/50.93 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22818,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 79.07/50.93 inference(monotonicity,[status(thm)],[22817])).
% 79.07/50.93 tff(22819,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 79.07/50.93 inference(transitivity,[status(thm)],[22818, 22816])).
% 79.07/50.93 tff(22820,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22821,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 79.07/50.93 tff(22822,plain,
% 79.07/50.93 (v110(constB174) | (~v108(constB173))),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22821, 571, 22815])).
% 79.07/50.93 tff(22823,plain,
% 79.07/50.93 (v110(constB174)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22822, 22812])).
% 79.07/50.93 tff(22824,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22825,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22826,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22825, 22824])).
% 79.07/50.93 tff(22827,plain,
% 79.07/50.93 (~v104(constB174)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22826, 589, 22815, 22683])).
% 79.07/50.93 tff(22828,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22829,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22830,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 79.07/50.93 tff(22831,plain,
% 79.07/50.93 (v102(constB174) | v104(constB174)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22830, 603, 22815])).
% 79.07/50.93 tff(22832,plain,
% 79.07/50.93 (v102(constB174)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22831, 22827])).
% 79.07/50.93 tff(22833,plain,
% 79.07/50.93 (v1(constB174) <=> v1(constB174)),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22834,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 79.07/50.93 tff(22835,plain,
% 79.07/50.93 (v1(constB174)),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22834, 22833])).
% 79.07/50.93 tff(22836,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22837,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22838,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 79.07/50.93 tff(22839,plain,
% 79.07/50.93 (v101(constB174) | (~v102(constB174))),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22838, 621, 22815, 22835])).
% 79.07/50.93 tff(22840,plain,
% 79.07/50.93 (v101(constB174)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22839, 22832])).
% 79.07/50.93 tff(22841,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22842,plain,
% 79.07/50.93 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22843,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 79.07/50.93 inference(monotonicity,[status(thm)],[22842])).
% 79.07/50.93 tff(22844,plain,
% 79.07/50.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 79.07/50.93 inference(transitivity,[status(thm)],[22843, 22841])).
% 79.07/50.93 tff(22845,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.93 tff(22846,plain,
% 79.07/50.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 79.07/50.93 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 79.07/50.93 tff(22847,plain,
% 79.07/50.93 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22846, 636, 22815])).
% 79.07/50.93 tff(22848,plain,
% 79.07/50.93 (v100(constB174) | (~v110(constB174))),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22847, 22840])).
% 79.07/50.93 tff(22849,plain,
% 79.07/50.93 (v100(constB174)),
% 79.07/50.93 inference(unit_resolution,[status(thm)],[22848, 22823])).
% 79.07/50.93 tff(22850,plain,
% 79.07/50.93 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 79.07/50.93 inference(rewrite,[status(thm)],[])).
% 79.07/50.93 tff(22851,plain,
% 79.07/50.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 79.07/50.93 inference(quant_inst,[status(thm)],[])).
% 79.07/50.94 tff(22852,plain,
% 79.07/50.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2))),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22851, 22850])).
% 79.07/50.94 tff(22853,plain,
% 79.07/50.94 (~v130(constB173, bitIndex2)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22852, 1259, 22779])).
% 79.07/50.94 tff(22854,plain,
% 79.07/50.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22855,plain,
% 79.07/50.94 ((v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2))) <=> ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22856,plain,
% 79.07/50.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)))),
% 79.07/50.94 inference(monotonicity,[status(thm)],[22855])).
% 79.07/50.94 tff(22857,plain,
% 79.07/50.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 79.07/50.94 inference(transitivity,[status(thm)],[22856, 22854])).
% 79.07/50.94 tff(22858,plain,
% 79.07/50.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))),
% 79.07/50.94 inference(quant_inst,[status(thm)],[])).
% 79.07/50.94 tff(22859,plain,
% 79.07/50.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22858, 22857])).
% 79.07/50.94 tff(22860,plain,
% 79.07/50.94 ((~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22859, 430, 22803])).
% 79.07/50.94 tff(22861,plain,
% 79.07/50.94 (~v127(constB173, bitIndex2)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22860, 22853])).
% 79.07/50.94 tff(22862,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22863,plain,
% 79.07/50.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 79.07/50.94 inference(quant_inst,[status(thm)],[])).
% 79.07/50.94 tff(22864,plain,
% 79.07/50.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22863, 22862])).
% 79.07/50.94 tff(22865,plain,
% 79.07/50.94 (v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22864, 451, 22815])).
% 79.07/50.94 tff(22866,plain,
% 79.07/50.94 (~v129(constB174, bitIndex2)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22865, 22861])).
% 79.07/50.94 tff(22867,plain,
% 79.07/50.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22868,plain,
% 79.07/50.94 (((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22869,plain,
% 79.07/50.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))))),
% 79.07/50.94 inference(monotonicity,[status(thm)],[22868])).
% 79.07/50.94 tff(22870,plain,
% 79.07/50.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 79.07/50.94 inference(transitivity,[status(thm)],[22869, 22867])).
% 79.07/50.94 tff(22871,plain,
% 79.07/50.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))),
% 79.07/50.94 inference(quant_inst,[status(thm)],[])).
% 79.07/50.94 tff(22872,plain,
% 79.07/50.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 79.07/50.94 tff(22873,plain,
% 79.07/50.94 ((~v90(constB174, bitIndex2)) | (~v100(constB174))),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22872, 655, 22866])).
% 79.07/50.94 tff(22874,plain,
% 79.07/50.94 (~v90(constB174, bitIndex2)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22873, 22849])).
% 79.07/50.94 tff(22875,plain,
% 79.07/50.94 ((~v1(constB175)) <=> (~v1(constB175))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22876,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 79.07/50.94 tff(22877,plain,
% 79.07/50.94 (~v1(constB175)),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 79.07/50.94 tff(22878,plain,
% 79.07/50.94 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22879,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 79.07/50.94 tff(22880,plain,
% 79.07/50.94 (nextState(constB174, constB175)),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 79.07/50.94 tff(22881,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22882,plain,
% 79.07/50.94 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22883,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 79.07/50.94 inference(monotonicity,[status(thm)],[22882])).
% 79.07/50.94 tff(22884,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 79.07/50.94 inference(transitivity,[status(thm)],[22883, 22881])).
% 79.07/50.94 tff(22885,plain,
% 79.07/50.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 79.07/50.94 inference(quant_inst,[status(thm)],[])).
% 79.07/50.94 tff(22886,plain,
% 79.07/50.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22885, 22884])).
% 79.07/50.94 tff(22887,plain,
% 79.07/50.94 (~v101(constB175)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22886, 307, 22880, 22877])).
% 79.07/50.94 tff(22888,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22889,plain,
% 79.07/50.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 79.07/50.94 inference(quant_inst,[status(thm)],[])).
% 79.07/50.94 tff(22890,plain,
% 79.07/50.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 79.07/50.94 inference(modus_ponens,[status(thm)],[22889, 22888])).
% 79.07/50.94 tff(22891,plain,
% 79.07/50.94 (v101(constB175) | (~v100(constB175))),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22890, 324, 22880])).
% 79.07/50.94 tff(22892,plain,
% 79.07/50.94 (~v100(constB175)),
% 79.07/50.94 inference(unit_resolution,[status(thm)],[22891, 22887])).
% 79.07/50.94 tff(22893,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22894,plain,
% 79.07/50.94 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 79.07/50.94 inference(rewrite,[status(thm)],[])).
% 79.07/50.94 tff(22895,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))))),
% 79.07/50.94 inference(monotonicity,[status(thm)],[22894])).
% 79.07/50.94 tff(22896,plain,
% 79.07/50.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 79.07/50.95 inference(transitivity,[status(thm)],[22895, 22893])).
% 79.07/50.95 tff(22897,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22898,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 79.07/50.95 tff(22899,plain,
% 79.07/50.95 (v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22898, 339, 22880])).
% 79.07/50.95 tff(22900,plain,
% 79.07/50.95 (v90(constB174, bitIndex2) | (~v90(constB175, bitIndex2))),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22899, 22892])).
% 79.07/50.95 tff(22901,plain,
% 79.07/50.95 (~v90(constB175, bitIndex2)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22900, 22874])).
% 79.07/50.95 tff(22902,plain,
% 79.07/50.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22903,plain,
% 79.07/50.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22904,plain,
% 79.07/50.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22903, 22902])).
% 79.07/50.95 tff(22905,plain,
% 79.07/50.95 (v130(constB173, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22904, 1321, 22779])).
% 79.07/50.95 tff(22906,plain,
% 79.07/50.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22907,plain,
% 79.07/50.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22908,plain,
% 79.07/50.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 79.07/50.95 tff(22909,plain,
% 79.07/50.95 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22908, 1031, 22803])).
% 79.07/50.95 tff(22910,plain,
% 79.07/50.95 (v127(constB173, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22909, 22905])).
% 79.07/50.95 tff(22911,plain,
% 79.07/50.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22912,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22913,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22912, 22911])).
% 79.07/50.95 tff(22914,plain,
% 79.07/50.95 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22913, 1046, 22815])).
% 79.07/50.95 tff(22915,plain,
% 79.07/50.95 (v129(constB174, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22914, 22910])).
% 79.07/50.95 tff(22916,plain,
% 79.07/50.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22917,plain,
% 79.07/50.95 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22918,plain,
% 79.07/50.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 79.07/50.95 inference(monotonicity,[status(thm)],[22917])).
% 79.07/50.95 tff(22919,plain,
% 79.07/50.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 79.07/50.95 inference(transitivity,[status(thm)],[22918, 22916])).
% 79.07/50.95 tff(22920,plain,
% 79.07/50.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22921,plain,
% 79.07/50.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 79.07/50.95 tff(22922,plain,
% 79.07/50.95 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22921, 1061, 22915])).
% 79.07/50.95 tff(22923,plain,
% 79.07/50.95 (v90(constB174, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22922, 22849])).
% 79.07/50.95 tff(22924,plain,
% 79.07/50.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22925,plain,
% 79.07/50.95 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22926,plain,
% 79.07/50.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 79.07/50.95 inference(monotonicity,[status(thm)],[22925])).
% 79.07/50.95 tff(22927,plain,
% 79.07/50.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 79.07/50.95 inference(transitivity,[status(thm)],[22926, 22924])).
% 79.07/50.95 tff(22928,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22929,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 79.07/50.95 tff(22930,plain,
% 79.07/50.95 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22929, 1079, 22880])).
% 79.07/50.95 tff(22931,plain,
% 79.07/50.95 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22930, 22892])).
% 79.07/50.95 tff(22932,plain,
% 79.07/50.95 (v90(constB175, bitIndex1)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22931, 22923])).
% 79.07/50.95 tff(22933,plain,
% 79.07/50.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22934,plain,
% 79.07/50.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22935,plain,
% 79.07/50.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22934, 22933])).
% 79.07/50.95 tff(22936,plain,
% 79.07/50.95 (v130(constB173, bitIndex0)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22935, 1362, 22779])).
% 79.07/50.95 tff(22937,plain,
% 79.07/50.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22938,plain,
% 79.07/50.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22939,plain,
% 79.07/50.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 79.07/50.95 tff(22940,plain,
% 79.07/50.95 ((~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22939, 788, 22803])).
% 79.07/50.95 tff(22941,plain,
% 79.07/50.95 (v127(constB173, bitIndex0)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22940, 22936])).
% 79.07/50.95 tff(22942,plain,
% 79.07/50.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22943,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22944,plain,
% 79.07/50.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22943, 22942])).
% 79.07/50.95 tff(22945,plain,
% 79.07/50.95 ((~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22944, 803, 22815])).
% 79.07/50.95 tff(22946,plain,
% 79.07/50.95 (v129(constB174, bitIndex0)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22945, 22941])).
% 79.07/50.95 tff(22947,plain,
% 79.07/50.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22948,plain,
% 79.07/50.95 ((v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22949,plain,
% 79.07/50.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))))),
% 79.07/50.95 inference(monotonicity,[status(thm)],[22948])).
% 79.07/50.95 tff(22950,plain,
% 79.07/50.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 79.07/50.95 inference(transitivity,[status(thm)],[22949, 22947])).
% 79.07/50.95 tff(22951,plain,
% 79.07/50.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))),
% 79.07/50.95 inference(quant_inst,[status(thm)],[])).
% 79.07/50.95 tff(22952,plain,
% 79.07/50.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 79.07/50.95 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 79.07/50.95 tff(22953,plain,
% 79.07/50.95 (v90(constB174, bitIndex0) | (~v100(constB174))),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22952, 818, 22946])).
% 79.07/50.95 tff(22954,plain,
% 79.07/50.95 (v90(constB174, bitIndex0)),
% 79.07/50.95 inference(unit_resolution,[status(thm)],[22953, 22849])).
% 79.07/50.95 tff(22955,plain,
% 79.07/50.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 79.07/50.95 inference(rewrite,[status(thm)],[])).
% 79.07/50.95 tff(22956,plain,
% 79.07/50.95 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22957,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)))),
% 79.07/50.96 inference(monotonicity,[status(thm)],[22956])).
% 79.07/50.96 tff(22958,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 79.07/50.96 inference(transitivity,[status(thm)],[22957, 22955])).
% 79.07/50.96 tff(22959,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22960,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22959, 22958])).
% 79.07/50.96 tff(22961,plain,
% 79.07/50.96 ((~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22960, 836, 22880])).
% 79.07/50.96 tff(22962,plain,
% 79.07/50.96 ((~v90(constB174, bitIndex0)) | v90(constB175, bitIndex0)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22961, 22892])).
% 79.07/50.96 tff(22963,plain,
% 79.07/50.96 (v90(constB175, bitIndex0)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22962, 22954])).
% 79.07/50.96 tff(22964,plain,
% 79.07/50.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22965,plain,
% 79.07/50.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22966,plain,
% 79.07/50.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175)),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22965, 22964])).
% 79.07/50.96 tff(22967,plain,
% 79.07/50.96 (v122(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22966, 1403, 22963, 22932, 22901])).
% 79.07/50.96 tff(22968,plain,
% 79.07/50.96 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22969,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22970,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 79.07/50.96 tff(22971,plain,
% 79.07/50.96 (v116(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22970, 1470, 22967])).
% 79.07/50.96 tff(22972,plain,
% 79.07/50.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22973,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22974,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22973, 22972])).
% 79.07/50.96 tff(22975,plain,
% 79.07/50.96 (v115(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22974, 519, 22971])).
% 79.07/50.96 tff(22976,plain,
% 79.07/50.96 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22977,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22978,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22977, 22976])).
% 79.07/50.96 tff(22979,plain,
% 79.07/50.96 (v114(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22978, 530, 22975])).
% 79.07/50.96 tff(22980,plain,
% 79.07/50.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22981,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22982,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22981, 22980])).
% 79.07/50.96 tff(22983,plain,
% 79.07/50.96 (v113(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22982, 541, 22979])).
% 79.07/50.96 tff(22984,assumption,(v26(constB175)), introduced(assumption)).
% 79.07/50.96 tff(22985,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22986,plain,
% 79.07/50.96 ($false),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22985, 14, 22984])).
% 79.07/50.96 tff(22987,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 79.07/50.96 tff(22988,plain,
% 79.07/50.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22989,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22990,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | (~v113(constB175)) | v112(constB175)),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22989, 22988])).
% 79.07/50.96 tff(22991,plain,
% 79.07/50.96 ((~v113(constB175)) | v112(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22990, 555, 22987])).
% 79.07/50.96 tff(22992,plain,
% 79.07/50.96 (v112(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22991, 22983])).
% 79.07/50.96 tff(22993,plain,
% 79.07/50.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22994,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(22995,plain,
% 79.07/50.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 79.07/50.96 tff(22996,plain,
% 79.07/50.96 (v108(constB175)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[22995, 464, 22992])).
% 79.07/50.96 tff(22997,plain,
% 79.07/50.96 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(22998,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 79.07/50.96 tff(22999,plain,
% 79.07/50.96 (nextState(constB175, constB176)),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 79.07/50.96 tff(23000,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23001,plain,
% 79.07/50.96 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23002,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 79.07/50.96 inference(monotonicity,[status(thm)],[23001])).
% 79.07/50.96 tff(23003,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 79.07/50.96 inference(transitivity,[status(thm)],[23002, 23000])).
% 79.07/50.96 tff(23004,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(23005,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 79.07/50.96 tff(23006,plain,
% 79.07/50.96 (v110(constB176) | (~v108(constB175))),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23005, 571, 22999])).
% 79.07/50.96 tff(23007,plain,
% 79.07/50.96 (v110(constB176)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23006, 22996])).
% 79.07/50.96 tff(23008,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23009,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(23010,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[23009, 23008])).
% 79.07/50.96 tff(23011,plain,
% 79.07/50.96 (~v104(constB176)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23010, 589, 22999, 22877])).
% 79.07/50.96 tff(23012,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23013,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(23014,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 79.07/50.96 tff(23015,plain,
% 79.07/50.96 (v102(constB176) | v104(constB176)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23014, 603, 22999])).
% 79.07/50.96 tff(23016,plain,
% 79.07/50.96 (v102(constB176)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23015, 23011])).
% 79.07/50.96 tff(23017,plain,
% 79.07/50.96 (v1(constB176) <=> v1(constB176)),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23018,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 79.07/50.96 tff(23019,plain,
% 79.07/50.96 (v1(constB176)),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 79.07/50.96 tff(23020,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23021,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 79.07/50.96 inference(quant_inst,[status(thm)],[])).
% 79.07/50.96 tff(23022,plain,
% 79.07/50.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 79.07/50.96 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 79.07/50.96 tff(23023,plain,
% 79.07/50.96 (v101(constB176) | (~v102(constB176))),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23022, 621, 22999, 23019])).
% 79.07/50.96 tff(23024,plain,
% 79.07/50.96 (v101(constB176)),
% 79.07/50.96 inference(unit_resolution,[status(thm)],[23023, 23016])).
% 79.07/50.96 tff(23025,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23026,plain,
% 79.07/50.96 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 79.07/50.96 inference(rewrite,[status(thm)],[])).
% 79.07/50.96 tff(23027,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 79.07/50.96 inference(monotonicity,[status(thm)],[23026])).
% 79.07/50.96 tff(23028,plain,
% 79.07/50.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 79.07/50.97 inference(transitivity,[status(thm)],[23027, 23025])).
% 79.07/50.97 tff(23029,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23030,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 79.07/50.97 tff(23031,plain,
% 79.07/50.97 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23030, 636, 22999])).
% 79.07/50.97 tff(23032,plain,
% 79.07/50.97 (v100(constB176) | (~v110(constB176))),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23031, 23024])).
% 79.07/50.97 tff(23033,plain,
% 79.07/50.97 (v100(constB176)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23032, 23007])).
% 79.07/50.97 tff(23034,plain,
% 79.07/50.97 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23035,plain,
% 79.07/50.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23036,plain,
% 79.07/50.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2)),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23035, 23034])).
% 79.07/50.97 tff(23037,plain,
% 79.07/50.97 (v130(constB175, bitIndex2)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23036, 1417, 22967])).
% 79.07/50.97 tff(23038,plain,
% 79.07/50.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23039,plain,
% 79.07/50.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23040,plain,
% 79.07/50.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 79.07/50.97 tff(23041,plain,
% 79.07/50.97 ((~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23040, 1431, 22987])).
% 79.07/50.97 tff(23042,plain,
% 79.07/50.97 (v127(constB175, bitIndex2)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23041, 23037])).
% 79.07/50.97 tff(23043,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23044,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23045,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23044, 23043])).
% 79.07/50.97 tff(23046,plain,
% 79.07/50.97 ((~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23045, 1449, 22999])).
% 79.07/50.97 tff(23047,plain,
% 79.07/50.97 (v129(constB176, bitIndex2)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23046, 23042])).
% 79.07/50.97 tff(23048,plain,
% 79.07/50.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23049,plain,
% 79.07/50.97 ((v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23050,plain,
% 79.07/50.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))))),
% 79.07/50.97 inference(monotonicity,[status(thm)],[23049])).
% 79.07/50.97 tff(23051,plain,
% 79.07/50.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 79.07/50.97 inference(transitivity,[status(thm)],[23050, 23048])).
% 79.07/50.97 tff(23052,plain,
% 79.07/50.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23053,plain,
% 79.07/50.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 79.07/50.97 tff(23054,plain,
% 79.07/50.97 (v90(constB176, bitIndex2) | (~v100(constB176))),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23053, 1539, 23047])).
% 79.07/50.97 tff(23055,plain,
% 79.07/50.97 (v90(constB176, bitIndex2)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23054, 23033])).
% 79.07/50.97 tff(23056,plain,
% 79.07/50.97 ((~v1(constB177)) <=> (~v1(constB177))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23057,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 79.07/50.97 tff(23058,plain,
% 79.07/50.97 (~v1(constB177)),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23057, 23056])).
% 79.07/50.97 tff(23059,plain,
% 79.07/50.97 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23060,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 79.07/50.97 tff(23061,plain,
% 79.07/50.97 (nextState(constB176, constB177)),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23060, 23059])).
% 79.07/50.97 tff(23062,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23063,plain,
% 79.07/50.97 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23064,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 79.07/50.97 inference(monotonicity,[status(thm)],[23063])).
% 79.07/50.97 tff(23065,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 79.07/50.97 inference(transitivity,[status(thm)],[23064, 23062])).
% 79.07/50.97 tff(23066,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23067,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 79.07/50.97 tff(23068,plain,
% 79.07/50.97 (~v101(constB177)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23067, 307, 23061, 23058])).
% 79.07/50.97 tff(23069,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23070,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 79.07/50.97 inference(quant_inst,[status(thm)],[])).
% 79.07/50.97 tff(23071,plain,
% 79.07/50.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 79.07/50.97 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 79.07/50.97 tff(23072,plain,
% 79.07/50.97 (v101(constB177) | (~v100(constB177))),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23071, 324, 23061])).
% 79.07/50.97 tff(23073,plain,
% 79.07/50.97 (~v100(constB177)),
% 79.07/50.97 inference(unit_resolution,[status(thm)],[23072, 23068])).
% 79.07/50.97 tff(23074,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23075,plain,
% 79.07/50.97 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 79.07/50.97 inference(rewrite,[status(thm)],[])).
% 79.07/50.97 tff(23076,plain,
% 79.07/50.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)))),
% 79.07/50.98 inference(monotonicity,[status(thm)],[23075])).
% 79.07/50.98 tff(23077,plain,
% 79.07/50.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 79.07/50.98 inference(transitivity,[status(thm)],[23076, 23074])).
% 79.07/50.98 tff(23078,plain,
% 79.07/50.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23079,plain,
% 79.07/50.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23078, 23077])).
% 79.07/50.98 tff(23080,plain,
% 79.07/50.98 ((~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23079, 1575, 23061])).
% 79.07/50.98 tff(23081,plain,
% 79.07/50.98 ((~v90(constB176, bitIndex2)) | v90(constB177, bitIndex2)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23080, 23073])).
% 79.07/50.98 tff(23082,plain,
% 79.07/50.98 (v90(constB177, bitIndex2)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23081, 23055])).
% 79.07/50.98 tff(23083,plain,
% 79.07/50.98 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23084,plain,
% 79.07/50.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23085,plain,
% 79.07/50.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1))),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23084, 23083])).
% 79.07/50.98 tff(23086,plain,
% 79.07/50.98 (~v130(constB175, bitIndex1)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23085, 1594, 22967])).
% 79.07/50.98 tff(23087,plain,
% 79.07/50.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23088,plain,
% 79.07/50.98 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23089,plain,
% 79.07/50.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 79.07/50.98 inference(monotonicity,[status(thm)],[23088])).
% 79.07/50.98 tff(23090,plain,
% 79.07/50.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 79.07/50.98 inference(transitivity,[status(thm)],[23089, 23087])).
% 79.07/50.98 tff(23091,plain,
% 79.07/50.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23092,plain,
% 79.07/50.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23091, 23090])).
% 79.07/50.98 tff(23093,plain,
% 79.07/50.98 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23092, 714, 22987])).
% 79.07/50.98 tff(23094,plain,
% 79.07/50.98 (~v127(constB175, bitIndex1)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23093, 23086])).
% 79.07/50.98 tff(23095,plain,
% 79.07/50.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23096,plain,
% 79.07/50.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23097,plain,
% 79.07/50.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 79.07/50.98 tff(23098,plain,
% 79.07/50.98 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23097, 732, 22999])).
% 79.07/50.98 tff(23099,plain,
% 79.07/50.98 (~v129(constB176, bitIndex1)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23098, 23094])).
% 79.07/50.98 tff(23100,plain,
% 79.07/50.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23101,plain,
% 79.07/50.98 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23102,plain,
% 79.07/50.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 79.07/50.98 inference(monotonicity,[status(thm)],[23101])).
% 79.07/50.98 tff(23103,plain,
% 79.07/50.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 79.07/50.98 inference(transitivity,[status(thm)],[23102, 23100])).
% 79.07/50.98 tff(23104,plain,
% 79.07/50.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23105,plain,
% 79.07/50.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 79.07/50.98 tff(23106,plain,
% 79.07/50.98 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23105, 747, 23099])).
% 79.07/50.98 tff(23107,plain,
% 79.07/50.98 (~v90(constB176, bitIndex1)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23106, 23033])).
% 79.07/50.98 tff(23108,plain,
% 79.07/50.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23109,plain,
% 79.07/50.98 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23110,plain,
% 79.07/50.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 79.07/50.98 inference(monotonicity,[status(thm)],[23109])).
% 79.07/50.98 tff(23111,plain,
% 79.07/50.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 79.07/50.98 inference(transitivity,[status(thm)],[23110, 23108])).
% 79.07/50.98 tff(23112,plain,
% 79.07/50.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23113,plain,
% 79.07/50.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 79.07/50.98 tff(23114,plain,
% 79.07/50.98 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23113, 360, 23061])).
% 79.07/50.98 tff(23115,plain,
% 79.07/50.98 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23114, 23073])).
% 79.07/50.98 tff(23116,plain,
% 79.07/50.98 (~v90(constB177, bitIndex1)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23115, 23107])).
% 79.07/50.98 tff(23117,plain,
% 79.07/50.98 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23118,plain,
% 79.07/50.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23119,plain,
% 79.07/50.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0))),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23118, 23117])).
% 79.07/50.98 tff(23120,plain,
% 79.07/50.98 (~v130(constB175, bitIndex0)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23119, 1638, 22967])).
% 79.07/50.98 tff(23121,assumption,(v127(constB175, bitIndex0)), introduced(assumption)).
% 79.07/50.98 tff(23122,assumption,(~v130(constB175, bitIndex0)), introduced(assumption)).
% 79.07/50.98 tff(23123,plain,
% 79.07/50.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23124,plain,
% 79.07/50.98 ((v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0))) <=> ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23125,plain,
% 79.07/50.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)))),
% 79.07/50.98 inference(monotonicity,[status(thm)],[23124])).
% 79.07/50.98 tff(23126,plain,
% 79.07/50.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 79.07/50.98 inference(transitivity,[status(thm)],[23125, 23123])).
% 79.07/50.98 tff(23127,plain,
% 79.07/50.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23128,plain,
% 79.07/50.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23127, 23126])).
% 79.07/50.98 tff(23129,plain,
% 79.07/50.98 ((~v127(constB175, bitIndex0)) | v26(constB175)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23128, 1112, 23122])).
% 79.07/50.98 tff(23130,plain,
% 79.07/50.98 (v26(constB175)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23129, 23121])).
% 79.07/50.98 tff(23131,plain,
% 79.07/50.98 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB175)) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB175)) | (~v127(constB175, bitIndex0)))),
% 79.07/50.98 inference(rewrite,[status(thm)],[])).
% 79.07/50.98 tff(23132,plain,
% 79.07/50.98 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB175)) | (~v127(constB175, bitIndex0)))),
% 79.07/50.98 inference(quant_inst,[status(thm)],[])).
% 79.07/50.98 tff(23133,plain,
% 79.07/50.98 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB175)) | (~v127(constB175, bitIndex0))),
% 79.07/50.98 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 79.07/50.98 tff(23134,plain,
% 79.07/50.98 ($false),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23133, 2992, 23121, 23130])).
% 79.07/50.98 tff(23135,plain,((~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 79.07/50.98 tff(23136,plain,
% 79.07/50.98 (~v127(constB175, bitIndex0)),
% 79.07/50.98 inference(unit_resolution,[status(thm)],[23135, 23120])).
% 79.07/50.98 tff(23137,plain,
% 79.07/50.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23138,plain,
% 79.07/50.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 79.07/50.99 inference(quant_inst,[status(thm)],[])).
% 79.07/50.99 tff(23139,plain,
% 79.07/50.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 79.07/50.99 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 79.07/50.99 tff(23140,plain,
% 79.07/50.99 (v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23139, 1130, 22999])).
% 79.07/50.99 tff(23141,plain,
% 79.07/50.99 (~v129(constB176, bitIndex0)),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23140, 23136])).
% 79.07/50.99 tff(23142,plain,
% 79.07/50.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23143,plain,
% 79.07/50.99 (((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23144,plain,
% 79.07/50.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))))),
% 79.07/50.99 inference(monotonicity,[status(thm)],[23143])).
% 79.07/50.99 tff(23145,plain,
% 79.07/50.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 79.07/50.99 inference(transitivity,[status(thm)],[23144, 23142])).
% 79.07/50.99 tff(23146,plain,
% 79.07/50.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))),
% 79.07/50.99 inference(quant_inst,[status(thm)],[])).
% 79.07/50.99 tff(23147,plain,
% 79.07/50.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))),
% 79.07/50.99 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 79.07/50.99 tff(23148,plain,
% 79.07/50.99 ((~v90(constB176, bitIndex0)) | (~v100(constB176))),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23147, 1145, 23141])).
% 79.07/50.99 tff(23149,plain,
% 79.07/50.99 (~v90(constB176, bitIndex0)),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23148, 23033])).
% 79.07/50.99 tff(23150,plain,
% 79.07/50.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23151,plain,
% 79.07/50.99 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23152,plain,
% 79.07/50.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))))),
% 79.07/50.99 inference(monotonicity,[status(thm)],[23151])).
% 79.07/50.99 tff(23153,plain,
% 79.07/50.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 79.07/50.99 inference(transitivity,[status(thm)],[23152, 23150])).
% 79.07/50.99 tff(23154,plain,
% 79.07/50.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 79.07/50.99 inference(quant_inst,[status(thm)],[])).
% 79.07/50.99 tff(23155,plain,
% 79.07/50.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 79.07/50.99 inference(modus_ponens,[status(thm)],[23154, 23153])).
% 79.07/50.99 tff(23156,plain,
% 79.07/50.99 (v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23155, 381, 23061])).
% 79.07/50.99 tff(23157,plain,
% 79.07/50.99 (v90(constB176, bitIndex0) | (~v90(constB177, bitIndex0))),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23156, 23073])).
% 79.07/50.99 tff(23158,plain,
% 79.07/50.99 (~v90(constB177, bitIndex0)),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23157, 23149])).
% 79.07/50.99 tff(23159,plain,
% 79.07/50.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23160,plain,
% 79.07/50.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 79.07/50.99 inference(quant_inst,[status(thm)],[])).
% 79.07/50.99 tff(23161,plain,
% 79.07/50.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177)),
% 79.07/50.99 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 79.07/50.99 tff(23162,plain,
% 79.07/50.99 (v123(constB177)),
% 79.07/50.99 inference(unit_resolution,[status(thm)],[23161, 1682, 23158, 23116, 23082])).
% 79.07/50.99 tff(23163,plain,
% 79.07/50.99 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2))),
% 79.07/50.99 inference(rewrite,[status(thm)],[])).
% 79.07/50.99 tff(23164,plain,
% 79.07/50.99 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))),
% 79.16/50.99 inference(quant_inst,[status(thm)],[])).
% 79.16/50.99 tff(23165,plain,
% 79.16/50.99 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2)),
% 79.16/50.99 inference(modus_ponens,[status(thm)],[23164, 23163])).
% 79.16/50.99 tff(23166,plain,
% 79.16/50.99 (v130(constB177, bitIndex2)),
% 79.16/50.99 inference(unit_resolution,[status(thm)],[23165, 1877, 23162])).
% 79.16/50.99 tff(23167,assumption,(v26(constB177)), introduced(assumption)).
% 79.16/50.99 tff(23168,plain,
% 79.16/50.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 79.16/50.99 inference(quant_inst,[status(thm)],[])).
% 79.16/50.99 tff(23169,plain,
% 79.16/50.99 ($false),
% 79.16/50.99 inference(unit_resolution,[status(thm)],[23168, 14, 23167])).
% 79.16/50.99 tff(23170,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 79.16/50.99 tff(23171,plain,
% 79.16/50.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 79.16/50.99 inference(rewrite,[status(thm)],[])).
% 79.16/50.99 tff(23172,plain,
% 79.16/50.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 79.16/50.99 inference(quant_inst,[status(thm)],[])).
% 79.16/50.99 tff(23173,plain,
% 79.16/50.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 79.16/50.99 inference(modus_ponens,[status(thm)],[23172, 23171])).
% 79.16/50.99 tff(23174,plain,
% 79.16/50.99 ((~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 79.16/50.99 inference(unit_resolution,[status(thm)],[23173, 1431, 23170])).
% 79.16/50.99 tff(23175,plain,
% 79.16/50.99 (v127(constB177, bitIndex2)),
% 79.16/50.99 inference(unit_resolution,[status(thm)],[23174, 23166])).
% 79.16/50.99 tff(23176,plain,
% 79.16/50.99 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 79.16/50.99 inference(rewrite,[status(thm)],[])).
% 79.16/50.99 tff(23177,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 79.16/50.99 tff(23178,plain,
% 79.16/50.99 (nextState(constB177, constB178)),
% 79.16/50.99 inference(modus_ponens,[status(thm)],[23177, 23176])).
% 79.16/50.99 tff(23179,plain,
% 79.16/50.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 79.16/50.99 inference(rewrite,[status(thm)],[])).
% 79.16/50.99 tff(23180,plain,
% 79.16/50.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 79.16/50.99 inference(quant_inst,[status(thm)],[])).
% 79.16/50.99 tff(23181,plain,
% 79.16/50.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 79.16/50.99 inference(modus_ponens,[status(thm)],[23180, 23179])).
% 79.16/50.99 tff(23182,plain,
% 79.16/50.99 ((~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 79.16/50.99 inference(unit_resolution,[status(thm)],[23181, 1449, 23178])).
% 79.16/50.99 tff(23183,plain,
% 79.16/50.99 (v129(constB178, bitIndex2)),
% 79.16/50.99 inference(unit_resolution,[status(thm)],[23182, 23175])).
% 79.16/50.99 tff(23184,assumption,(v123(constB177)), introduced(assumption)).
% 79.16/50.99 tff(23185,plain,
% 79.16/50.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177)))),
% 79.16/50.99 inference(rewrite,[status(thm)],[])).
% 79.16/50.99 tff(23186,plain,
% 79.16/50.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23187,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 79.16/51.00 tff(23188,plain,
% 79.16/51.00 (v115(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23187, 1693, 23184])).
% 79.16/51.00 tff(23189,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23190,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23191,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23190, 23189])).
% 79.16/51.00 tff(23192,plain,
% 79.16/51.00 (v114(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23191, 530, 23188])).
% 79.16/51.00 tff(23193,plain,
% 79.16/51.00 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23194,plain,
% 79.16/51.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23195,plain,
% 79.16/51.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0)),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 79.16/51.00 tff(23196,plain,
% 79.16/51.00 (v130(constB177, bitIndex0)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23195, 1836, 23184])).
% 79.16/51.00 tff(23197,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23198,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23199,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 79.16/51.00 tff(23200,plain,
% 79.16/51.00 ((~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23199, 788, 23170])).
% 79.16/51.00 tff(23201,plain,
% 79.16/51.00 (v127(constB177, bitIndex0)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23200, 23196])).
% 79.16/51.00 tff(23202,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23203,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23204,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23203, 23202])).
% 79.16/51.00 tff(23205,plain,
% 79.16/51.00 ((~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23204, 803, 23178])).
% 79.16/51.00 tff(23206,plain,
% 79.16/51.00 (v129(constB178, bitIndex0)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23205, 23201])).
% 79.16/51.00 tff(23207,assumption,(~v90(constB178, bitIndex0)), introduced(assumption)).
% 79.16/51.00 tff(23208,plain,
% 79.16/51.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23209,plain,
% 79.16/51.00 ((v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23210,plain,
% 79.16/51.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))))),
% 79.16/51.00 inference(monotonicity,[status(thm)],[23209])).
% 79.16/51.00 tff(23211,plain,
% 79.16/51.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 79.16/51.00 inference(transitivity,[status(thm)],[23210, 23208])).
% 79.16/51.00 tff(23212,plain,
% 79.16/51.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23213,plain,
% 79.16/51.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23212, 23211])).
% 79.16/51.00 tff(23214,plain,
% 79.16/51.00 ((~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23213, 818, 23207])).
% 79.16/51.00 tff(23215,plain,
% 79.16/51.00 (~v100(constB178)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23214, 23206])).
% 79.16/51.00 tff(23216,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23217,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23218,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23217, 23216])).
% 79.16/51.00 tff(23219,plain,
% 79.16/51.00 (~v104(constB178)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23218, 589, 23178, 23058])).
% 79.16/51.00 tff(23220,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23221,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23222,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 79.16/51.00 tff(23223,plain,
% 79.16/51.00 (v102(constB178) | v104(constB178)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23222, 603, 23178])).
% 79.16/51.00 tff(23224,plain,
% 79.16/51.00 (v102(constB178)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23223, 23219])).
% 79.16/51.00 tff(23225,plain,
% 79.16/51.00 (v1(constB178) <=> v1(constB178)),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23226,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 79.16/51.00 tff(23227,plain,
% 79.16/51.00 (v1(constB178)),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23226, 23225])).
% 79.16/51.00 tff(23228,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23229,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23230,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 79.16/51.00 tff(23231,plain,
% 79.16/51.00 (v101(constB178) | (~v102(constB178))),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23230, 621, 23178, 23227])).
% 79.16/51.00 tff(23232,plain,
% 79.16/51.00 (v101(constB178)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23231, 23224])).
% 79.16/51.00 tff(23233,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23234,plain,
% 79.16/51.00 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23235,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 79.16/51.00 inference(monotonicity,[status(thm)],[23234])).
% 79.16/51.00 tff(23236,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 79.16/51.00 inference(transitivity,[status(thm)],[23235, 23233])).
% 79.16/51.00 tff(23237,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23238,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23237, 23236])).
% 79.16/51.00 tff(23239,plain,
% 79.16/51.00 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23238, 636, 23178])).
% 79.16/51.00 tff(23240,plain,
% 79.16/51.00 (v100(constB178) | (~v110(constB178))),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23239, 23232])).
% 79.16/51.00 tff(23241,plain,
% 79.16/51.00 (~v110(constB178)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23240, 23215])).
% 79.16/51.00 tff(23242,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23243,plain,
% 79.16/51.00 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23244,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 79.16/51.00 inference(monotonicity,[status(thm)],[23243])).
% 79.16/51.00 tff(23245,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 79.16/51.00 inference(transitivity,[status(thm)],[23244, 23242])).
% 79.16/51.00 tff(23246,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23247,plain,
% 79.16/51.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 79.16/51.00 tff(23248,plain,
% 79.16/51.00 (v110(constB178) | (~v108(constB177))),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23247, 571, 23178])).
% 79.16/51.00 tff(23249,plain,
% 79.16/51.00 (~v108(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23248, 23241])).
% 79.16/51.00 tff(23250,assumption,(~v108(constB177)), introduced(assumption)).
% 79.16/51.00 tff(23251,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23252,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23253,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23252, 23251])).
% 79.16/51.00 tff(23254,plain,
% 79.16/51.00 (~v112(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23253, 464, 23250])).
% 79.16/51.00 tff(23255,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB177) | (~v26(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB177) | (~v26(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23256,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB177) | (~v26(constB177)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23257,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB177) | (~v26(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23256, 23255])).
% 79.16/51.00 tff(23258,plain,
% 79.16/51.00 (~v26(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23257, 475, 23250])).
% 79.16/51.00 tff(23259,assumption,(v113(constB177)), introduced(assumption)).
% 79.16/51.00 tff(23260,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23261,plain,
% 79.16/51.00 ((v26(constB177) | (~v113(constB177)) | v112(constB177)) <=> (v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23262,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177))))),
% 79.16/51.00 inference(monotonicity,[status(thm)],[23261])).
% 79.16/51.00 tff(23263,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 79.16/51.00 inference(transitivity,[status(thm)],[23262, 23260])).
% 79.16/51.00 tff(23264,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23265,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 79.16/51.00 tff(23266,plain,
% 79.16/51.00 (v26(constB177) | v112(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23265, 555, 23259])).
% 79.16/51.00 tff(23267,plain,
% 79.16/51.00 ($false),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23266, 23258, 23254])).
% 79.16/51.00 tff(23268,plain,(v108(constB177) | (~v113(constB177))), inference(lemma,lemma(discharge,[]))).
% 79.16/51.00 tff(23269,plain,
% 79.16/51.00 (~v113(constB177)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23268, 23249])).
% 79.16/51.00 tff(23270,plain,
% 79.16/51.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177)))),
% 79.16/51.00 inference(rewrite,[status(thm)],[])).
% 79.16/51.00 tff(23271,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))),
% 79.16/51.00 inference(quant_inst,[status(thm)],[])).
% 79.16/51.00 tff(23272,plain,
% 79.16/51.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177))),
% 79.16/51.00 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 79.16/51.00 tff(23273,plain,
% 79.16/51.00 ($false),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23272, 541, 23269, 23192])).
% 79.16/51.00 tff(23274,plain,((~v123(constB177)) | v90(constB178, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 79.16/51.00 tff(23275,plain,
% 79.16/51.00 (v90(constB178, bitIndex0)),
% 79.16/51.00 inference(unit_resolution,[status(thm)],[23274, 23162])).
% 79.16/51.00 tff(23276,plain,
% 79.16/51.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23277,plain,
% 79.16/51.01 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))) <=> (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23278,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))))),
% 79.16/51.01 inference(monotonicity,[status(thm)],[23277])).
% 79.16/51.01 tff(23279,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 79.16/51.01 inference(transitivity,[status(thm)],[23278, 23276])).
% 79.16/51.01 tff(23280,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 79.16/51.01 inference(quant_inst,[status(thm)],[])).
% 79.16/51.01 tff(23281,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 79.16/51.01 tff(23282,plain,
% 79.16/51.01 (v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23281, 381, 23178])).
% 79.16/51.01 tff(23283,plain,
% 79.16/51.01 (v100(constB178)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23282, 23275, 23158])).
% 79.16/51.01 tff(23284,plain,
% 79.16/51.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23285,plain,
% 79.16/51.01 ((v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23286,plain,
% 79.16/51.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))))),
% 79.16/51.01 inference(monotonicity,[status(thm)],[23285])).
% 79.16/51.01 tff(23287,plain,
% 79.16/51.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 79.16/51.01 inference(transitivity,[status(thm)],[23286, 23284])).
% 79.16/51.01 tff(23288,plain,
% 79.16/51.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))),
% 79.16/51.01 inference(quant_inst,[status(thm)],[])).
% 79.16/51.01 tff(23289,plain,
% 79.16/51.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 79.16/51.01 tff(23290,plain,
% 79.16/51.01 (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2))),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23289, 1539, 23283])).
% 79.16/51.01 tff(23291,plain,
% 79.16/51.01 (v90(constB178, bitIndex2)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23290, 23183])).
% 79.16/51.01 tff(23292,plain,
% 79.16/51.01 ((~v1(constB179)) <=> (~v1(constB179))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23293,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 79.16/51.01 tff(23294,plain,
% 79.16/51.01 (~v1(constB179)),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 79.16/51.01 tff(23295,plain,
% 79.16/51.01 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23296,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 79.16/51.01 tff(23297,plain,
% 79.16/51.01 (nextState(constB178, constB179)),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23296, 23295])).
% 79.16/51.01 tff(23298,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23299,plain,
% 79.16/51.01 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23300,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 79.16/51.01 inference(monotonicity,[status(thm)],[23299])).
% 79.16/51.01 tff(23301,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 79.16/51.01 inference(transitivity,[status(thm)],[23300, 23298])).
% 79.16/51.01 tff(23302,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 79.16/51.01 inference(quant_inst,[status(thm)],[])).
% 79.16/51.01 tff(23303,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 79.16/51.01 tff(23304,plain,
% 79.16/51.01 (~v101(constB179)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23303, 307, 23297, 23294])).
% 79.16/51.01 tff(23305,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23306,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 79.16/51.01 inference(quant_inst,[status(thm)],[])).
% 79.16/51.01 tff(23307,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23306, 23305])).
% 79.16/51.01 tff(23308,plain,
% 79.16/51.01 (v101(constB179) | (~v100(constB179))),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23307, 324, 23297])).
% 79.16/51.01 tff(23309,plain,
% 79.16/51.01 (~v100(constB179)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23308, 23304])).
% 79.16/51.01 tff(23310,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23311,plain,
% 79.16/51.01 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 79.16/51.01 inference(rewrite,[status(thm)],[])).
% 79.16/51.01 tff(23312,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)))),
% 79.16/51.01 inference(monotonicity,[status(thm)],[23311])).
% 79.16/51.01 tff(23313,plain,
% 79.16/51.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 79.16/51.01 inference(transitivity,[status(thm)],[23312, 23310])).
% 79.16/51.01 tff(23314,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))),
% 79.16/51.01 inference(quant_inst,[status(thm)],[])).
% 79.16/51.01 tff(23315,plain,
% 79.16/51.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)),
% 79.16/51.01 inference(modus_ponens,[status(thm)],[23314, 23313])).
% 79.16/51.01 tff(23316,plain,
% 79.16/51.01 ((~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23315, 1575, 23297])).
% 79.16/51.01 tff(23317,plain,
% 79.16/51.01 ((~v90(constB178, bitIndex2)) | v90(constB179, bitIndex2)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23316, 23309])).
% 79.16/51.01 tff(23318,plain,
% 79.16/51.01 (v90(constB179, bitIndex2)),
% 79.16/51.01 inference(unit_resolution,[status(thm)],[23317, 23291])).
% 79.16/51.01 tff(23319,assumption,(v90(constB178, bitIndex0)), introduced(assumption)).
% 79.16/51.01 tff(23320,assumption,(v122(constB175)), introduced(assumption)).
% 79.16/51.02 tff(23321,plain,
% 79.16/51.02 (v116(constB175)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[22970, 1470, 23320])).
% 79.16/51.02 tff(23322,plain,
% 79.16/51.02 (v115(constB175)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[22974, 519, 23321])).
% 79.16/51.02 tff(23323,plain,
% 79.16/51.02 (v114(constB175)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[22978, 530, 23322])).
% 79.16/51.02 tff(23324,plain,
% 79.16/51.02 (v113(constB175)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[22982, 541, 23323])).
% 79.16/51.02 tff(23325,plain,
% 79.16/51.02 (v112(constB175)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[22991, 23324])).
% 79.16/51.02 tff(23326,plain,
% 79.16/51.02 (v108(constB175)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[22995, 464, 23325])).
% 79.16/51.02 tff(23327,plain,
% 79.16/51.02 (v110(constB176)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23006, 23326])).
% 79.16/51.02 tff(23328,plain,
% 79.16/51.02 (v100(constB176)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23032, 23327])).
% 79.16/51.02 tff(23329,plain,
% 79.16/51.02 (~v130(constB175, bitIndex0)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23119, 1638, 23320])).
% 79.16/51.02 tff(23330,plain,
% 79.16/51.02 (~v127(constB175, bitIndex0)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23135, 23329])).
% 79.16/51.02 tff(23331,plain,
% 79.16/51.02 (~v129(constB176, bitIndex0)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23140, 23330])).
% 79.16/51.02 tff(23332,plain,
% 79.16/51.02 ((~v90(constB176, bitIndex0)) | (~v100(constB176))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23147, 1145, 23331])).
% 79.16/51.02 tff(23333,plain,
% 79.16/51.02 (~v90(constB176, bitIndex0)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23332, 23328])).
% 79.16/51.02 tff(23334,plain,
% 79.16/51.02 (~v90(constB177, bitIndex0)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23157, 23333])).
% 79.16/51.02 tff(23335,plain,
% 79.16/51.02 (v100(constB178)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23282, 23334, 23319])).
% 79.16/51.02 tff(23336,assumption,(v90(constB178, bitIndex1)), introduced(assumption)).
% 79.16/51.02 tff(23337,plain,
% 79.16/51.02 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23338,plain,
% 79.16/51.02 (((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23339,plain,
% 79.16/51.02 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))))),
% 79.16/51.02 inference(monotonicity,[status(thm)],[23338])).
% 79.16/51.02 tff(23340,plain,
% 79.16/51.02 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 79.16/51.02 inference(transitivity,[status(thm)],[23339, 23337])).
% 79.16/51.02 tff(23341,plain,
% 79.16/51.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))),
% 79.16/51.02 inference(quant_inst,[status(thm)],[])).
% 79.16/51.02 tff(23342,plain,
% 79.16/51.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))),
% 79.16/51.02 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 79.16/51.02 tff(23343,plain,
% 79.16/51.02 (v129(constB178, bitIndex1) | (~v100(constB178))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23342, 747, 23336])).
% 79.16/51.02 tff(23344,plain,
% 79.16/51.02 (v129(constB178, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23343, 23335])).
% 79.16/51.02 tff(23345,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23346,plain,
% 79.16/51.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 79.16/51.02 inference(quant_inst,[status(thm)],[])).
% 79.16/51.02 tff(23347,plain,
% 79.16/51.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 79.16/51.02 inference(modus_ponens,[status(thm)],[23346, 23345])).
% 79.16/51.02 tff(23348,plain,
% 79.16/51.02 (v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23347, 732, 23178])).
% 79.16/51.02 tff(23349,plain,
% 79.16/51.02 (v127(constB177, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23348, 23344])).
% 79.16/51.02 tff(23350,plain,
% 79.16/51.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23351,plain,
% 79.16/51.02 ((v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1))) <=> ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23352,plain,
% 79.16/51.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)))),
% 79.16/51.02 inference(monotonicity,[status(thm)],[23351])).
% 79.16/51.02 tff(23353,plain,
% 79.16/51.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 79.16/51.02 inference(transitivity,[status(thm)],[23352, 23350])).
% 79.16/51.02 tff(23354,plain,
% 79.16/51.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))),
% 79.16/51.02 inference(quant_inst,[status(thm)],[])).
% 79.16/51.02 tff(23355,plain,
% 79.16/51.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)),
% 79.16/51.02 inference(modus_ponens,[status(thm)],[23354, 23353])).
% 79.16/51.02 tff(23356,plain,
% 79.16/51.02 ((~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23355, 714, 23170])).
% 79.16/51.02 tff(23357,plain,
% 79.16/51.02 (v130(constB177, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23356, 23349])).
% 79.16/51.02 tff(23358,plain,
% 79.16/51.02 (v130(constB175, bitIndex2)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23036, 1417, 23320])).
% 79.16/51.02 tff(23359,plain,
% 79.16/51.02 (v127(constB175, bitIndex2)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23041, 23358])).
% 79.16/51.02 tff(23360,plain,
% 79.16/51.02 (v129(constB176, bitIndex2)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23046, 23359])).
% 79.16/51.02 tff(23361,plain,
% 79.16/51.02 (v90(constB176, bitIndex2) | (~v100(constB176))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23053, 1539, 23360])).
% 79.16/51.02 tff(23362,plain,
% 79.16/51.02 (v90(constB176, bitIndex2)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23361, 23328])).
% 79.16/51.02 tff(23363,plain,
% 79.16/51.02 (v90(constB177, bitIndex2)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23081, 23362])).
% 79.16/51.02 tff(23364,plain,
% 79.16/51.02 (~v130(constB175, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23085, 1594, 23320])).
% 79.16/51.02 tff(23365,plain,
% 79.16/51.02 (~v127(constB175, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23093, 23364])).
% 79.16/51.02 tff(23366,plain,
% 79.16/51.02 (~v129(constB176, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23098, 23365])).
% 79.16/51.02 tff(23367,plain,
% 79.16/51.02 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23105, 747, 23366])).
% 79.16/51.02 tff(23368,plain,
% 79.16/51.02 (~v90(constB176, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23367, 23328])).
% 79.16/51.02 tff(23369,plain,
% 79.16/51.02 (~v90(constB177, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23115, 23368])).
% 79.16/51.02 tff(23370,plain,
% 79.16/51.02 (v123(constB177)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23161, 1682, 23334, 23369, 23363])).
% 79.16/51.02 tff(23371,plain,
% 79.16/51.02 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23372,plain,
% 79.16/51.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 79.16/51.02 inference(quant_inst,[status(thm)],[])).
% 79.16/51.02 tff(23373,plain,
% 79.16/51.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1))),
% 79.16/51.02 inference(modus_ponens,[status(thm)],[23372, 23371])).
% 79.16/51.02 tff(23374,plain,
% 79.16/51.02 ($false),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23373, 1765, 23370, 23357])).
% 79.16/51.02 tff(23375,plain,((~v122(constB175)) | (~v90(constB178, bitIndex1)) | (~v90(constB178, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 79.16/51.02 tff(23376,plain,
% 79.16/51.02 (~v90(constB178, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23375, 23275, 22967])).
% 79.16/51.02 tff(23377,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23378,plain,
% 79.16/51.02 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23379,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))))),
% 79.16/51.02 inference(monotonicity,[status(thm)],[23378])).
% 79.16/51.02 tff(23380,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 79.16/51.02 inference(transitivity,[status(thm)],[23379, 23377])).
% 79.16/51.02 tff(23381,plain,
% 79.16/51.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 79.16/51.02 inference(quant_inst,[status(thm)],[])).
% 79.16/51.02 tff(23382,plain,
% 79.16/51.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 79.16/51.02 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 79.16/51.02 tff(23383,plain,
% 79.16/51.02 (v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23382, 360, 23297])).
% 79.16/51.02 tff(23384,plain,
% 79.16/51.02 (v90(constB178, bitIndex1) | (~v90(constB179, bitIndex1))),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23383, 23309])).
% 79.16/51.02 tff(23385,plain,
% 79.16/51.02 (~v90(constB179, bitIndex1)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23384, 23376])).
% 79.16/51.02 tff(23386,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23387,plain,
% 79.16/51.02 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 79.16/51.02 inference(rewrite,[status(thm)],[])).
% 79.16/51.02 tff(23388,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)))),
% 79.16/51.02 inference(monotonicity,[status(thm)],[23387])).
% 79.16/51.02 tff(23389,plain,
% 79.16/51.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 79.16/51.02 inference(transitivity,[status(thm)],[23388, 23386])).
% 79.16/51.02 tff(23390,plain,
% 79.16/51.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))),
% 79.16/51.02 inference(quant_inst,[status(thm)],[])).
% 79.16/51.02 tff(23391,plain,
% 79.16/51.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)),
% 79.16/51.02 inference(modus_ponens,[status(thm)],[23390, 23389])).
% 79.16/51.02 tff(23392,plain,
% 79.16/51.02 ((~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)),
% 79.16/51.02 inference(unit_resolution,[status(thm)],[23391, 836, 23297])).
% 79.16/51.02 tff(23393,plain,
% 79.16/51.02 ((~v90(constB178, bitIndex0)) | v90(constB179, bitIndex0)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23392, 23309])).
% 79.16/51.03 tff(23394,plain,
% 79.16/51.03 (v90(constB179, bitIndex0)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23393, 23275])).
% 79.16/51.03 tff(23395,plain,
% 79.16/51.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23396,plain,
% 79.16/51.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23397,plain,
% 79.16/51.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23396, 23395])).
% 79.16/51.03 tff(23398,plain,
% 79.16/51.03 ((~v90(constB179, bitIndex2)) | v124(constB179)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23397, 1919, 23394, 23385])).
% 79.16/51.03 tff(23399,plain,
% 79.16/51.03 (v124(constB179)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23398, 23318])).
% 79.16/51.03 tff(23400,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23401,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23402,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23401, 23400])).
% 79.16/51.03 tff(23403,plain,
% 79.16/51.03 (v114(constB179)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23402, 1951, 23399])).
% 79.16/51.03 tff(23404,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23405,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23406,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 79.16/51.03 tff(23407,plain,
% 79.16/51.03 (v113(constB179)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23406, 541, 23403])).
% 79.16/51.03 tff(23408,assumption,(v26(constB179)), introduced(assumption)).
% 79.16/51.03 tff(23409,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23410,plain,
% 79.16/51.03 ($false),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23409, 14, 23408])).
% 79.16/51.03 tff(23411,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 79.16/51.03 tff(23412,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23413,plain,
% 79.16/51.03 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23414,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 79.16/51.03 inference(monotonicity,[status(thm)],[23413])).
% 79.16/51.03 tff(23415,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 79.16/51.03 inference(transitivity,[status(thm)],[23414, 23412])).
% 79.16/51.03 tff(23416,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23417,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23416, 23415])).
% 79.16/51.03 tff(23418,plain,
% 79.16/51.03 (v112(constB179) | (~v113(constB179))),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23417, 555, 23411])).
% 79.16/51.03 tff(23419,plain,
% 79.16/51.03 (v112(constB179)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23418, 23407])).
% 79.16/51.03 tff(23420,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23421,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23422,plain,
% 79.16/51.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23421, 23420])).
% 79.16/51.03 tff(23423,plain,
% 79.16/51.03 (v108(constB179)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23422, 464, 23419])).
% 79.16/51.03 tff(23424,plain,
% 79.16/51.03 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23425,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 79.16/51.03 tff(23426,plain,
% 79.16/51.03 (nextState(constB179, constB180)),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 79.16/51.03 tff(23427,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23428,plain,
% 79.16/51.03 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23429,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 79.16/51.03 inference(monotonicity,[status(thm)],[23428])).
% 79.16/51.03 tff(23430,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 79.16/51.03 inference(transitivity,[status(thm)],[23429, 23427])).
% 79.16/51.03 tff(23431,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23432,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23431, 23430])).
% 79.16/51.03 tff(23433,plain,
% 79.16/51.03 (v110(constB180) | (~v108(constB179))),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23432, 571, 23426])).
% 79.16/51.03 tff(23434,plain,
% 79.16/51.03 (v110(constB180)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23433, 23423])).
% 79.16/51.03 tff(23435,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23436,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23437,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23436, 23435])).
% 79.16/51.03 tff(23438,plain,
% 79.16/51.03 (~v104(constB180)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23437, 589, 23426, 23294])).
% 79.16/51.03 tff(23439,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23440,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23441,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23440, 23439])).
% 79.16/51.03 tff(23442,plain,
% 79.16/51.03 (v102(constB180) | v104(constB180)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23441, 603, 23426])).
% 79.16/51.03 tff(23443,plain,
% 79.16/51.03 (v102(constB180)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23442, 23438])).
% 79.16/51.03 tff(23444,plain,
% 79.16/51.03 (v1(constB180) <=> v1(constB180)),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23445,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 79.16/51.03 tff(23446,plain,
% 79.16/51.03 (v1(constB180)),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23445, 23444])).
% 79.16/51.03 tff(23447,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23448,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23449,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23448, 23447])).
% 79.16/51.03 tff(23450,plain,
% 79.16/51.03 (v101(constB180) | (~v102(constB180))),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23449, 621, 23426, 23446])).
% 79.16/51.03 tff(23451,plain,
% 79.16/51.03 (v101(constB180)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23450, 23443])).
% 79.16/51.03 tff(23452,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23453,plain,
% 79.16/51.03 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23454,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 79.16/51.03 inference(monotonicity,[status(thm)],[23453])).
% 79.16/51.03 tff(23455,plain,
% 79.16/51.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 79.16/51.03 inference(transitivity,[status(thm)],[23454, 23452])).
% 79.16/51.03 tff(23456,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23457,plain,
% 79.16/51.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 79.16/51.03 tff(23458,plain,
% 79.16/51.03 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23457, 636, 23426])).
% 79.16/51.03 tff(23459,plain,
% 79.16/51.03 (v100(constB180) | (~v110(constB180))),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23458, 23451])).
% 79.16/51.03 tff(23460,plain,
% 79.16/51.03 (v100(constB180)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23459, 23434])).
% 79.16/51.03 tff(23461,plain,
% 79.16/51.03 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2))),
% 79.16/51.03 inference(rewrite,[status(thm)],[])).
% 79.16/51.03 tff(23462,plain,
% 79.16/51.03 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))),
% 79.16/51.03 inference(quant_inst,[status(thm)],[])).
% 79.16/51.03 tff(23463,plain,
% 79.16/51.03 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2)),
% 79.16/51.03 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 79.16/51.03 tff(23464,plain,
% 79.16/51.03 (v130(constB179, bitIndex2)),
% 79.16/51.03 inference(unit_resolution,[status(thm)],[23463, 2050, 23399])).
% 79.16/51.03 tff(23465,plain,
% 79.16/51.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23466,plain,
% 79.16/51.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23467,plain,
% 79.16/51.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23466, 23465])).
% 79.16/51.04 tff(23468,plain,
% 79.16/51.04 ((~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23467, 1431, 23411])).
% 79.16/51.04 tff(23469,plain,
% 79.16/51.04 (v127(constB179, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23468, 23464])).
% 79.16/51.04 tff(23470,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23471,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23472,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23471, 23470])).
% 79.16/51.04 tff(23473,plain,
% 79.16/51.04 ((~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23472, 1449, 23426])).
% 79.16/51.04 tff(23474,plain,
% 79.16/51.04 (v129(constB180, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23473, 23469])).
% 79.16/51.04 tff(23475,plain,
% 79.16/51.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23476,plain,
% 79.16/51.04 ((v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23477,plain,
% 79.16/51.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))))),
% 79.16/51.04 inference(monotonicity,[status(thm)],[23476])).
% 79.16/51.04 tff(23478,plain,
% 79.16/51.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 79.16/51.04 inference(transitivity,[status(thm)],[23477, 23475])).
% 79.16/51.04 tff(23479,plain,
% 79.16/51.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23480,plain,
% 79.16/51.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23479, 23478])).
% 79.16/51.04 tff(23481,plain,
% 79.16/51.04 (v90(constB180, bitIndex2) | (~v100(constB180))),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23480, 1539, 23474])).
% 79.16/51.04 tff(23482,plain,
% 79.16/51.04 (v90(constB180, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23481, 23460])).
% 79.16/51.04 tff(23483,plain,
% 79.16/51.04 ((~v1(constB181)) <=> (~v1(constB181))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23484,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 79.16/51.04 tff(23485,plain,
% 79.16/51.04 (~v1(constB181)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23484, 23483])).
% 79.16/51.04 tff(23486,plain,
% 79.16/51.04 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23487,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 79.16/51.04 tff(23488,plain,
% 79.16/51.04 (nextState(constB180, constB181)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23487, 23486])).
% 79.16/51.04 tff(23489,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23490,plain,
% 79.16/51.04 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23491,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 79.16/51.04 inference(monotonicity,[status(thm)],[23490])).
% 79.16/51.04 tff(23492,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 79.16/51.04 inference(transitivity,[status(thm)],[23491, 23489])).
% 79.16/51.04 tff(23493,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23494,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23493, 23492])).
% 79.16/51.04 tff(23495,plain,
% 79.16/51.04 (~v101(constB181)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23494, 307, 23488, 23485])).
% 79.16/51.04 tff(23496,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23497,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23498,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 79.16/51.04 tff(23499,plain,
% 79.16/51.04 (v101(constB181) | (~v100(constB181))),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23498, 324, 23488])).
% 79.16/51.04 tff(23500,plain,
% 79.16/51.04 (~v100(constB181)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23499, 23495])).
% 79.16/51.04 tff(23501,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23502,plain,
% 79.16/51.04 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23503,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)))),
% 79.16/51.04 inference(monotonicity,[status(thm)],[23502])).
% 79.16/51.04 tff(23504,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 79.16/51.04 inference(transitivity,[status(thm)],[23503, 23501])).
% 79.16/51.04 tff(23505,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23506,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 79.16/51.04 tff(23507,plain,
% 79.16/51.04 ((~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23506, 1575, 23488])).
% 79.16/51.04 tff(23508,plain,
% 79.16/51.04 ((~v90(constB180, bitIndex2)) | v90(constB181, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23507, 23500])).
% 79.16/51.04 tff(23509,plain,
% 79.16/51.04 (v90(constB181, bitIndex2)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23508, 23482])).
% 79.16/51.04 tff(23510,plain,
% 79.16/51.04 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23511,plain,
% 79.16/51.04 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23512,plain,
% 79.16/51.04 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 79.16/51.04 tff(23513,plain,
% 79.16/51.04 (v130(constB179, bitIndex1)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23512, 1936, 23399])).
% 79.16/51.04 tff(23514,plain,
% 79.16/51.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23515,plain,
% 79.16/51.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23516,plain,
% 79.16/51.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23515, 23514])).
% 79.16/51.04 tff(23517,plain,
% 79.16/51.04 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23516, 1031, 23411])).
% 79.16/51.04 tff(23518,plain,
% 79.16/51.04 (v127(constB179, bitIndex1)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23517, 23513])).
% 79.16/51.04 tff(23519,plain,
% 79.16/51.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23520,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 79.16/51.04 inference(quant_inst,[status(thm)],[])).
% 79.16/51.04 tff(23521,plain,
% 79.16/51.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 79.16/51.04 inference(modus_ponens,[status(thm)],[23520, 23519])).
% 79.16/51.04 tff(23522,plain,
% 79.16/51.04 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23521, 1046, 23426])).
% 79.16/51.04 tff(23523,plain,
% 79.16/51.04 (v129(constB180, bitIndex1)),
% 79.16/51.04 inference(unit_resolution,[status(thm)],[23522, 23518])).
% 79.16/51.04 tff(23524,plain,
% 79.16/51.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23525,plain,
% 79.16/51.04 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 79.16/51.04 inference(rewrite,[status(thm)],[])).
% 79.16/51.04 tff(23526,plain,
% 79.16/51.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 79.16/51.04 inference(monotonicity,[status(thm)],[23525])).
% 79.16/51.04 tff(23527,plain,
% 79.16/51.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 79.16/51.05 inference(transitivity,[status(thm)],[23526, 23524])).
% 79.16/51.05 tff(23528,plain,
% 79.16/51.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 79.16/51.05 inference(quant_inst,[status(thm)],[])).
% 79.16/51.05 tff(23529,plain,
% 79.16/51.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 79.16/51.05 inference(modus_ponens,[status(thm)],[23528, 23527])).
% 79.16/51.05 tff(23530,plain,
% 79.16/51.05 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23529, 1061, 23523])).
% 79.16/51.05 tff(23531,plain,
% 79.16/51.05 (v90(constB180, bitIndex1)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23530, 23460])).
% 79.16/51.05 tff(23532,plain,
% 79.16/51.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23533,plain,
% 79.16/51.05 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23534,plain,
% 79.16/51.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 79.16/51.05 inference(monotonicity,[status(thm)],[23533])).
% 79.16/51.05 tff(23535,plain,
% 79.16/51.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 79.16/51.05 inference(transitivity,[status(thm)],[23534, 23532])).
% 79.16/51.05 tff(23536,plain,
% 79.16/51.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 79.16/51.05 inference(quant_inst,[status(thm)],[])).
% 79.16/51.05 tff(23537,plain,
% 79.16/51.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 79.16/51.05 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 79.16/51.05 tff(23538,plain,
% 79.16/51.05 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23537, 1079, 23488])).
% 79.16/51.05 tff(23539,plain,
% 79.16/51.05 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23538, 23500])).
% 79.16/51.05 tff(23540,plain,
% 79.16/51.05 (v90(constB181, bitIndex1)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23539, 23531])).
% 79.16/51.05 tff(23541,plain,
% 79.16/51.05 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23542,plain,
% 79.16/51.05 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 79.16/51.05 inference(quant_inst,[status(thm)],[])).
% 79.16/51.05 tff(23543,plain,
% 79.16/51.05 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0))),
% 79.16/51.05 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 79.16/51.05 tff(23544,plain,
% 79.16/51.05 (~v130(constB179, bitIndex0)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23543, 2112, 23399])).
% 79.16/51.05 tff(23545,plain,
% 79.16/51.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23546,plain,
% 79.16/51.05 ((v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0))) <=> ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23547,plain,
% 79.16/51.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)))),
% 79.16/51.05 inference(monotonicity,[status(thm)],[23546])).
% 79.16/51.05 tff(23548,plain,
% 79.16/51.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 79.16/51.05 inference(transitivity,[status(thm)],[23547, 23545])).
% 79.16/51.05 tff(23549,plain,
% 79.16/51.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))),
% 79.16/51.05 inference(quant_inst,[status(thm)],[])).
% 79.16/51.05 tff(23550,plain,
% 79.16/51.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)),
% 79.16/51.05 inference(modus_ponens,[status(thm)],[23549, 23548])).
% 79.16/51.05 tff(23551,plain,
% 79.16/51.05 ((~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23550, 1112, 23411])).
% 79.16/51.05 tff(23552,plain,
% 79.16/51.05 (~v127(constB179, bitIndex0)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23551, 23544])).
% 79.16/51.05 tff(23553,plain,
% 79.16/51.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23554,plain,
% 79.16/51.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 79.16/51.05 inference(quant_inst,[status(thm)],[])).
% 79.16/51.05 tff(23555,plain,
% 79.16/51.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 79.16/51.05 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 79.16/51.05 tff(23556,plain,
% 79.16/51.05 (v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23555, 1130, 23426])).
% 79.16/51.05 tff(23557,plain,
% 79.16/51.05 (~v129(constB180, bitIndex0)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23556, 23552])).
% 79.16/51.05 tff(23558,plain,
% 79.16/51.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23559,plain,
% 79.16/51.05 (((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23560,plain,
% 79.16/51.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))))),
% 79.16/51.05 inference(monotonicity,[status(thm)],[23559])).
% 79.16/51.05 tff(23561,plain,
% 79.16/51.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 79.16/51.05 inference(transitivity,[status(thm)],[23560, 23558])).
% 79.16/51.05 tff(23562,plain,
% 79.16/51.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))),
% 79.16/51.05 inference(quant_inst,[status(thm)],[])).
% 79.16/51.05 tff(23563,plain,
% 79.16/51.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))),
% 79.16/51.05 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 79.16/51.05 tff(23564,plain,
% 79.16/51.05 ((~v90(constB180, bitIndex0)) | (~v100(constB180))),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23563, 1145, 23557])).
% 79.16/51.05 tff(23565,plain,
% 79.16/51.05 (~v90(constB180, bitIndex0)),
% 79.16/51.05 inference(unit_resolution,[status(thm)],[23564, 23460])).
% 79.16/51.05 tff(23566,plain,
% 79.16/51.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23567,plain,
% 79.16/51.05 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 79.16/51.05 inference(rewrite,[status(thm)],[])).
% 79.16/51.05 tff(23568,plain,
% 79.16/51.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))))),
% 79.16/51.05 inference(monotonicity,[status(thm)],[23567])).
% 79.16/51.06 tff(23569,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 79.16/51.06 inference(transitivity,[status(thm)],[23568, 23566])).
% 79.16/51.06 tff(23570,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23571,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23570, 23569])).
% 79.16/51.06 tff(23572,plain,
% 79.16/51.06 (v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23571, 381, 23488])).
% 79.16/51.06 tff(23573,plain,
% 79.16/51.06 (v90(constB180, bitIndex0) | (~v90(constB181, bitIndex0))),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23572, 23500])).
% 79.16/51.06 tff(23574,plain,
% 79.16/51.06 (~v90(constB181, bitIndex0)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23573, 23565])).
% 79.16/51.06 tff(23575,plain,
% 79.16/51.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23576,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23577,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181)),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23576, 23575])).
% 79.16/51.06 tff(23578,plain,
% 79.16/51.06 (v125(constB181)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23577, 2156, 23574, 23540, 23509])).
% 79.16/51.06 tff(23579,plain,
% 79.16/51.06 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23580,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23581,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 79.16/51.06 tff(23582,plain,
% 79.16/51.06 (v113(constB181)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23581, 2167, 23578])).
% 79.16/51.06 tff(23583,assumption,(v26(constB181)), introduced(assumption)).
% 79.16/51.06 tff(23584,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23585,plain,
% 79.16/51.06 ($false),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23584, 14, 23583])).
% 79.16/51.06 tff(23586,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 79.16/51.06 tff(23587,plain,
% 79.16/51.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23588,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23589,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23588, 23587])).
% 79.16/51.06 tff(23590,plain,
% 79.16/51.06 ((~v113(constB181)) | v112(constB181)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23589, 555, 23586])).
% 79.16/51.06 tff(23591,plain,
% 79.16/51.06 (v112(constB181)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23590, 23582])).
% 79.16/51.06 tff(23592,plain,
% 79.16/51.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23593,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23594,plain,
% 79.16/51.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23593, 23592])).
% 79.16/51.06 tff(23595,plain,
% 79.16/51.06 (v108(constB181)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23594, 464, 23591])).
% 79.16/51.06 tff(23596,plain,
% 79.16/51.06 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23597,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 79.16/51.06 tff(23598,plain,
% 79.16/51.06 (nextState(constB181, constB182)),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23597, 23596])).
% 79.16/51.06 tff(23599,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23600,plain,
% 79.16/51.06 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23601,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 79.16/51.06 inference(monotonicity,[status(thm)],[23600])).
% 79.16/51.06 tff(23602,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 79.16/51.06 inference(transitivity,[status(thm)],[23601, 23599])).
% 79.16/51.06 tff(23603,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23604,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23603, 23602])).
% 79.16/51.06 tff(23605,plain,
% 79.16/51.06 (v110(constB182) | (~v108(constB181))),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23604, 571, 23598])).
% 79.16/51.06 tff(23606,plain,
% 79.16/51.06 (v110(constB182)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23605, 23595])).
% 79.16/51.06 tff(23607,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23608,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23609,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 79.16/51.06 tff(23610,plain,
% 79.16/51.06 (~v104(constB182)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23609, 589, 23598, 23485])).
% 79.16/51.06 tff(23611,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23612,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23613,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 79.16/51.06 tff(23614,plain,
% 79.16/51.06 (v102(constB182) | v104(constB182)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23613, 603, 23598])).
% 79.16/51.06 tff(23615,plain,
% 79.16/51.06 (v102(constB182)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23614, 23610])).
% 79.16/51.06 tff(23616,plain,
% 79.16/51.06 (v1(constB182) <=> v1(constB182)),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23617,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 79.16/51.06 tff(23618,plain,
% 79.16/51.06 (v1(constB182)),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23617, 23616])).
% 79.16/51.06 tff(23619,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23620,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23621,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 79.16/51.06 tff(23622,plain,
% 79.16/51.06 (v101(constB182) | (~v102(constB182))),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23621, 621, 23598, 23618])).
% 79.16/51.06 tff(23623,plain,
% 79.16/51.06 (v101(constB182)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23622, 23615])).
% 79.16/51.06 tff(23624,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23625,plain,
% 79.16/51.06 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23626,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 79.16/51.06 inference(monotonicity,[status(thm)],[23625])).
% 79.16/51.06 tff(23627,plain,
% 79.16/51.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 79.16/51.06 inference(transitivity,[status(thm)],[23626, 23624])).
% 79.16/51.06 tff(23628,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23629,plain,
% 79.16/51.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 79.16/51.06 tff(23630,plain,
% 79.16/51.06 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23629, 636, 23598])).
% 79.16/51.06 tff(23631,plain,
% 79.16/51.06 (v100(constB182) | (~v110(constB182))),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23630, 23623])).
% 79.16/51.06 tff(23632,plain,
% 79.16/51.06 (v100(constB182)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23631, 23606])).
% 79.16/51.06 tff(23633,plain,
% 79.16/51.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23634,plain,
% 79.16/51.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23635,plain,
% 79.16/51.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181))),
% 79.16/51.06 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 79.16/51.06 tff(23636,plain,
% 79.16/51.06 (~v122(constB181)),
% 79.16/51.06 inference(unit_resolution,[status(thm)],[23635, 2229, 23509])).
% 79.16/51.06 tff(23637,plain,
% 79.16/51.06 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 79.16/51.06 inference(rewrite,[status(thm)],[])).
% 79.16/51.06 tff(23638,plain,
% 79.16/51.06 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 79.16/51.06 inference(quant_inst,[status(thm)],[])).
% 79.16/51.06 tff(23639,plain,
% 79.16/51.06 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 79.16/51.07 tff(23640,plain,
% 79.16/51.07 (~v119(constB181)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23639, 2243, 23540])).
% 79.16/51.07 tff(23641,plain,
% 79.16/51.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23642,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23643,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23642, 23641])).
% 79.16/51.07 tff(23644,plain,
% 79.16/51.07 (~v120(constB181)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23643, 2254, 23540])).
% 79.16/51.07 tff(23645,plain,
% 79.16/51.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23646,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23647,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 79.16/51.07 tff(23648,plain,
% 79.16/51.07 (~v123(constB181)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23647, 2265, 23540])).
% 79.16/51.07 tff(23649,plain,
% 79.16/51.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23650,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23651,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23650, 23649])).
% 79.16/51.07 tff(23652,plain,
% 79.16/51.07 (~v124(constB181)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23651, 2276, 23540])).
% 79.16/51.07 tff(23653,plain,
% 79.16/51.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23654,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23655,plain,
% 79.16/51.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 79.16/51.07 tff(23656,plain,
% 79.16/51.07 (~v121(constB181)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23655, 2218, 23509])).
% 79.16/51.07 tff(23657,plain,
% 79.16/51.07 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v121(constB181) | v123(constB181) | (~v130(constB181, bitIndex2)) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v121(constB181) | v123(constB181) | (~v130(constB181, bitIndex2)) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23658,plain,
% 79.16/51.07 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2))) <=> (v121(constB181) | v123(constB181) | (~v130(constB181, bitIndex2)) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23659,plain,
% 79.16/51.07 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v121(constB181) | v123(constB181) | (~v130(constB181, bitIndex2)) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181)))),
% 79.16/51.07 inference(monotonicity,[status(thm)],[23658])).
% 79.16/51.07 tff(23660,plain,
% 79.16/51.07 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v121(constB181) | v123(constB181) | (~v130(constB181, bitIndex2)) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))),
% 79.16/51.07 inference(transitivity,[status(thm)],[23659, 23657])).
% 79.16/51.07 tff(23661,plain,
% 79.16/51.07 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23662,plain,
% 79.16/51.07 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v121(constB181) | v123(constB181) | (~v130(constB181, bitIndex2)) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181)),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23661, 23660])).
% 79.16/51.07 tff(23663,plain,
% 79.16/51.07 (~v130(constB181, bitIndex2)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23662, 2290, 23656, 23652, 23648, 23644, 23640, 23636])).
% 79.16/51.07 tff(23664,plain,
% 79.16/51.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23665,plain,
% 79.16/51.07 ((v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2))) <=> ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23666,plain,
% 79.16/51.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)))),
% 79.16/51.07 inference(monotonicity,[status(thm)],[23665])).
% 79.16/51.07 tff(23667,plain,
% 79.16/51.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 79.16/51.07 inference(transitivity,[status(thm)],[23666, 23664])).
% 79.16/51.07 tff(23668,plain,
% 79.16/51.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23669,plain,
% 79.16/51.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23668, 23667])).
% 79.16/51.07 tff(23670,plain,
% 79.16/51.07 ((~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23669, 430, 23586])).
% 79.16/51.07 tff(23671,plain,
% 79.16/51.07 (~v127(constB181, bitIndex2)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23670, 23663])).
% 79.16/51.07 tff(23672,plain,
% 79.16/51.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23673,plain,
% 79.16/51.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23674,plain,
% 79.16/51.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23673, 23672])).
% 79.16/51.07 tff(23675,plain,
% 79.16/51.07 (v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23674, 451, 23598])).
% 79.16/51.07 tff(23676,plain,
% 79.16/51.07 (~v129(constB182, bitIndex2)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23675, 23671])).
% 79.16/51.07 tff(23677,plain,
% 79.16/51.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23678,plain,
% 79.16/51.07 (((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23679,plain,
% 79.16/51.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))))),
% 79.16/51.07 inference(monotonicity,[status(thm)],[23678])).
% 79.16/51.07 tff(23680,plain,
% 79.16/51.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 79.16/51.07 inference(transitivity,[status(thm)],[23679, 23677])).
% 79.16/51.07 tff(23681,plain,
% 79.16/51.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23682,plain,
% 79.16/51.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23681, 23680])).
% 79.16/51.07 tff(23683,plain,
% 79.16/51.07 ((~v90(constB182, bitIndex2)) | (~v100(constB182))),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23682, 655, 23676])).
% 79.16/51.07 tff(23684,plain,
% 79.16/51.07 (~v90(constB182, bitIndex2)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23683, 23632])).
% 79.16/51.07 tff(23685,plain,
% 79.16/51.07 ((~v1(constB183)) <=> (~v1(constB183))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23686,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 79.16/51.07 tff(23687,plain,
% 79.16/51.07 (~v1(constB183)),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23686, 23685])).
% 79.16/51.07 tff(23688,plain,
% 79.16/51.07 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23689,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 79.16/51.07 tff(23690,plain,
% 79.16/51.07 (nextState(constB182, constB183)),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23689, 23688])).
% 79.16/51.07 tff(23691,plain,
% 79.16/51.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23692,plain,
% 79.16/51.07 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23693,plain,
% 79.16/51.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 79.16/51.07 inference(monotonicity,[status(thm)],[23692])).
% 79.16/51.07 tff(23694,plain,
% 79.16/51.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 79.16/51.07 inference(transitivity,[status(thm)],[23693, 23691])).
% 79.16/51.07 tff(23695,plain,
% 79.16/51.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23696,plain,
% 79.16/51.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 79.16/51.07 tff(23697,plain,
% 79.16/51.07 (~v101(constB183)),
% 79.16/51.07 inference(unit_resolution,[status(thm)],[23696, 307, 23690, 23687])).
% 79.16/51.07 tff(23698,plain,
% 79.16/51.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 79.16/51.07 inference(rewrite,[status(thm)],[])).
% 79.16/51.07 tff(23699,plain,
% 79.16/51.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 79.16/51.07 inference(quant_inst,[status(thm)],[])).
% 79.16/51.07 tff(23700,plain,
% 79.16/51.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 79.16/51.07 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 79.16/51.08 tff(23701,plain,
% 79.16/51.08 (v101(constB183) | (~v100(constB183))),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23700, 324, 23690])).
% 79.16/51.08 tff(23702,plain,
% 79.16/51.08 (~v100(constB183)),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23701, 23697])).
% 79.16/51.08 tff(23703,plain,
% 79.16/51.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23704,plain,
% 79.16/51.08 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23705,plain,
% 79.16/51.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))))),
% 79.16/51.08 inference(monotonicity,[status(thm)],[23704])).
% 79.16/51.08 tff(23706,plain,
% 79.16/51.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 79.16/51.08 inference(transitivity,[status(thm)],[23705, 23703])).
% 79.16/51.08 tff(23707,plain,
% 79.16/51.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 79.16/51.08 inference(quant_inst,[status(thm)],[])).
% 79.16/51.08 tff(23708,plain,
% 79.16/51.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 79.16/51.08 inference(modus_ponens,[status(thm)],[23707, 23706])).
% 79.16/51.08 tff(23709,plain,
% 79.16/51.08 (v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23708, 339, 23690])).
% 79.16/51.08 tff(23710,plain,
% 79.16/51.08 (v90(constB182, bitIndex2) | (~v90(constB183, bitIndex2))),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23709, 23702])).
% 79.16/51.08 tff(23711,plain,
% 79.16/51.08 (~v90(constB183, bitIndex2)),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23710, 23684])).
% 79.16/51.08 tff(23712,plain,
% 79.16/51.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23713,plain,
% 79.16/51.08 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))) <=> (v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23714,plain,
% 79.16/51.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))))),
% 79.16/51.08 inference(monotonicity,[status(thm)],[23713])).
% 79.16/51.08 tff(23715,plain,
% 79.16/51.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 79.16/51.08 inference(transitivity,[status(thm)],[23714, 23712])).
% 79.16/51.08 tff(23716,plain,
% 79.16/51.08 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 79.16/51.08 inference(quant_inst,[status(thm)],[])).
% 79.16/51.08 tff(23717,plain,
% 79.16/51.08 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))),
% 79.16/51.08 inference(modus_ponens,[status(thm)],[23716, 23715])).
% 79.16/51.08 tff(23718,plain,
% 79.16/51.08 (~v130(constB181, bitIndex1)),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23717, 2355, 23656, 23652, 23648, 23644, 23640, 23636])).
% 79.16/51.08 tff(23719,plain,
% 79.16/51.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23720,plain,
% 79.16/51.08 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23721,plain,
% 79.16/51.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 79.16/51.08 inference(monotonicity,[status(thm)],[23720])).
% 79.16/51.08 tff(23722,plain,
% 79.16/51.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 79.16/51.08 inference(transitivity,[status(thm)],[23721, 23719])).
% 79.16/51.08 tff(23723,plain,
% 79.16/51.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 79.16/51.08 inference(quant_inst,[status(thm)],[])).
% 79.16/51.08 tff(23724,plain,
% 79.16/51.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 79.16/51.08 inference(modus_ponens,[status(thm)],[23723, 23722])).
% 79.16/51.08 tff(23725,plain,
% 79.16/51.08 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23724, 714, 23586])).
% 79.16/51.08 tff(23726,plain,
% 79.16/51.08 (~v127(constB181, bitIndex1)),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23725, 23718])).
% 79.16/51.08 tff(23727,plain,
% 79.16/51.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23728,plain,
% 79.16/51.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 79.16/51.08 inference(quant_inst,[status(thm)],[])).
% 79.16/51.08 tff(23729,plain,
% 79.16/51.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 79.16/51.08 inference(modus_ponens,[status(thm)],[23728, 23727])).
% 79.16/51.08 tff(23730,plain,
% 79.16/51.08 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23729, 732, 23598])).
% 79.16/51.08 tff(23731,plain,
% 79.16/51.08 (~v129(constB182, bitIndex1)),
% 79.16/51.08 inference(unit_resolution,[status(thm)],[23730, 23726])).
% 79.16/51.08 tff(23732,plain,
% 79.16/51.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23733,plain,
% 79.16/51.08 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 79.16/51.08 inference(rewrite,[status(thm)],[])).
% 79.16/51.08 tff(23734,plain,
% 79.16/51.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 79.16/51.08 inference(monotonicity,[status(thm)],[23733])).
% 79.16/51.08 tff(23735,plain,
% 79.16/51.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 79.16/51.08 inference(transitivity,[status(thm)],[23734, 23732])).
% 79.16/51.08 tff(23736,plain,
% 79.16/51.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 79.16/51.08 inference(quant_inst,[status(thm)],[])).
% 79.16/51.08 tff(23737,plain,
% 79.16/51.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 79.16/51.08 inference(modus_ponens,[status(thm)],[23736, 23735])).
% 79.16/51.08 tff(23738,plain,
% 79.16/51.08 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23737, 747, 23731])).
% 79.16/51.09 tff(23739,plain,
% 79.16/51.09 (~v90(constB182, bitIndex1)),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23738, 23632])).
% 79.16/51.09 tff(23740,plain,
% 79.16/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 79.16/51.09 inference(rewrite,[status(thm)],[])).
% 79.16/51.09 tff(23741,plain,
% 79.16/51.09 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 79.16/51.09 inference(rewrite,[status(thm)],[])).
% 79.16/51.09 tff(23742,plain,
% 79.16/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 79.16/51.09 inference(monotonicity,[status(thm)],[23741])).
% 79.16/51.09 tff(23743,plain,
% 79.16/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 79.16/51.09 inference(transitivity,[status(thm)],[23742, 23740])).
% 79.16/51.09 tff(23744,plain,
% 79.16/51.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 79.16/51.09 inference(quant_inst,[status(thm)],[])).
% 79.16/51.09 tff(23745,plain,
% 79.16/51.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 79.16/51.09 inference(modus_ponens,[status(thm)],[23744, 23743])).
% 79.16/51.09 tff(23746,plain,
% 79.16/51.09 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23745, 360, 23690])).
% 79.16/51.09 tff(23747,plain,
% 79.16/51.09 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23746, 23702])).
% 79.16/51.09 tff(23748,plain,
% 79.16/51.09 (~v90(constB183, bitIndex1)),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23747, 23739])).
% 79.16/51.09 tff(23749,plain,
% 79.16/51.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB181, bitIndex0) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB181, bitIndex0) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))),
% 79.16/51.09 inference(rewrite,[status(thm)],[])).
% 79.16/51.09 tff(23750,plain,
% 79.16/51.09 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0)) <=> (v130(constB181, bitIndex0) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))),
% 79.16/51.09 inference(rewrite,[status(thm)],[])).
% 79.16/51.09 tff(23751,plain,
% 79.16/51.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB181, bitIndex0) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181)))),
% 79.16/51.09 inference(monotonicity,[status(thm)],[23750])).
% 79.16/51.09 tff(23752,plain,
% 79.16/51.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB181, bitIndex0) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181))),
% 79.16/51.09 inference(transitivity,[status(thm)],[23751, 23749])).
% 79.16/51.09 tff(23753,plain,
% 79.16/51.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 79.16/51.09 inference(quant_inst,[status(thm)],[])).
% 79.16/51.09 tff(23754,plain,
% 79.16/51.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB181, bitIndex0) | v121(constB181) | v123(constB181) | v122(constB181) | v119(constB181) | v120(constB181) | v124(constB181)),
% 79.16/51.09 inference(modus_ponens,[status(thm)],[23753, 23752])).
% 79.16/51.09 tff(23755,plain,
% 79.16/51.09 (v130(constB181, bitIndex0)),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23754, 2402, 23656, 23652, 23648, 23644, 23640, 23636])).
% 79.16/51.09 tff(23756,plain,
% 79.16/51.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 79.16/51.09 inference(rewrite,[status(thm)],[])).
% 79.16/51.09 tff(23757,plain,
% 79.16/51.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 79.16/51.09 inference(quant_inst,[status(thm)],[])).
% 79.16/51.09 tff(23758,plain,
% 79.16/51.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 79.16/51.09 inference(modus_ponens,[status(thm)],[23757, 23756])).
% 79.16/51.09 tff(23759,plain,
% 79.16/51.09 ((~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23758, 788, 23586])).
% 79.16/51.09 tff(23760,plain,
% 79.16/51.09 (v127(constB181, bitIndex0)),
% 79.16/51.09 inference(unit_resolution,[status(thm)],[23759, 23755])).
% 79.16/51.09 tff(23761,plain,
% 79.16/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 79.16/51.09 inference(rewrite,[status(thm)],[])).
% 79.26/51.09 tff(23762,plain,
% 79.26/51.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 79.26/51.09 inference(quant_inst,[status(thm)],[])).
% 79.26/51.09 tff(23763,plain,
% 79.26/51.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 79.26/51.09 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 79.26/51.09 tff(23764,plain,
% 79.26/51.09 ((~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 79.26/51.09 inference(unit_resolution,[status(thm)],[23763, 803, 23598])).
% 79.26/51.09 tff(23765,plain,
% 79.26/51.09 (v129(constB182, bitIndex0)),
% 79.26/51.09 inference(unit_resolution,[status(thm)],[23764, 23760])).
% 79.26/51.09 tff(23766,plain,
% 79.26/51.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 79.26/51.09 inference(rewrite,[status(thm)],[])).
% 79.26/51.09 tff(23767,plain,
% 79.26/51.09 ((v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 79.26/51.09 inference(rewrite,[status(thm)],[])).
% 79.26/51.09 tff(23768,plain,
% 79.26/51.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))))),
% 79.26/51.09 inference(monotonicity,[status(thm)],[23767])).
% 79.26/51.09 tff(23769,plain,
% 79.26/51.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 79.26/51.09 inference(transitivity,[status(thm)],[23768, 23766])).
% 79.26/51.09 tff(23770,plain,
% 79.26/51.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))),
% 79.26/51.09 inference(quant_inst,[status(thm)],[])).
% 79.26/51.09 tff(23771,plain,
% 79.26/51.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 79.26/51.09 inference(modus_ponens,[status(thm)],[23770, 23769])).
% 79.26/51.09 tff(23772,plain,
% 79.26/51.09 (v90(constB182, bitIndex0) | (~v100(constB182))),
% 79.26/51.09 inference(unit_resolution,[status(thm)],[23771, 818, 23765])).
% 79.26/51.09 tff(23773,plain,
% 79.26/51.09 (v90(constB182, bitIndex0)),
% 79.26/51.09 inference(unit_resolution,[status(thm)],[23772, 23632])).
% 79.26/51.09 tff(23774,plain,
% 79.26/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 79.26/51.09 inference(rewrite,[status(thm)],[])).
% 79.26/51.09 tff(23775,plain,
% 79.26/51.09 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 79.26/51.09 inference(rewrite,[status(thm)],[])).
% 79.26/51.09 tff(23776,plain,
% 79.26/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)))),
% 79.27/51.09 inference(monotonicity,[status(thm)],[23775])).
% 79.27/51.09 tff(23777,plain,
% 79.27/51.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 79.27/51.09 inference(transitivity,[status(thm)],[23776, 23774])).
% 79.27/51.09 tff(23778,plain,
% 79.27/51.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))),
% 79.27/51.09 inference(quant_inst,[status(thm)],[])).
% 79.27/51.09 tff(23779,plain,
% 79.27/51.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)),
% 79.27/51.09 inference(modus_ponens,[status(thm)],[23778, 23777])).
% 79.27/51.09 tff(23780,plain,
% 79.27/51.09 ((~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)),
% 79.27/51.09 inference(unit_resolution,[status(thm)],[23779, 836, 23690])).
% 79.27/51.09 tff(23781,plain,
% 79.27/51.09 ((~v90(constB182, bitIndex0)) | v90(constB183, bitIndex0)),
% 79.27/51.09 inference(unit_resolution,[status(thm)],[23780, 23702])).
% 79.27/51.09 tff(23782,plain,
% 79.27/51.09 (v90(constB183, bitIndex0)),
% 79.27/51.09 inference(unit_resolution,[status(thm)],[23781, 23773])).
% 79.27/51.09 tff(23783,plain,
% 79.27/51.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 79.27/51.09 inference(rewrite,[status(thm)],[])).
% 79.27/51.09 tff(23784,plain,
% 79.27/51.09 (((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)) <=> ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 79.27/51.09 inference(rewrite,[status(thm)],[])).
% 79.27/51.09 tff(23785,plain,
% 79.27/51.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)))),
% 79.27/51.09 inference(monotonicity,[status(thm)],[23784])).
% 79.27/51.09 tff(23786,plain,
% 79.27/51.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 79.27/51.09 inference(transitivity,[status(thm)],[23785, 23783])).
% 79.27/51.09 tff(23787,plain,
% 79.27/51.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23788,plain,
% 79.27/51.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23787, 23786])).
% 79.27/51.10 tff(23789,plain,
% 79.27/51.10 (v120(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23788, 855, 23782, 23748, 23711])).
% 79.27/51.10 tff(23790,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23791,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23792,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23791, 23790])).
% 79.27/51.10 tff(23793,plain,
% 79.27/51.10 (v118(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23792, 908, 23789])).
% 79.27/51.10 tff(23794,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23795,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23796,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23795, 23794])).
% 79.27/51.10 tff(23797,plain,
% 79.27/51.10 (v117(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23796, 497, 23793])).
% 79.27/51.10 tff(23798,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23799,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23800,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23799, 23798])).
% 79.27/51.10 tff(23801,plain,
% 79.27/51.10 (v116(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23800, 508, 23797])).
% 79.27/51.10 tff(23802,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23803,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23804,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23803, 23802])).
% 79.27/51.10 tff(23805,plain,
% 79.27/51.10 (v115(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23804, 519, 23801])).
% 79.27/51.10 tff(23806,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23807,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23808,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23807, 23806])).
% 79.27/51.10 tff(23809,plain,
% 79.27/51.10 (v114(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23808, 530, 23805])).
% 79.27/51.10 tff(23810,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23811,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23812,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 79.27/51.10 tff(23813,plain,
% 79.27/51.10 (v113(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23812, 541, 23809])).
% 79.27/51.10 tff(23814,assumption,(v26(constB183)), introduced(assumption)).
% 79.27/51.10 tff(23815,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23816,plain,
% 79.27/51.10 ($false),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23815, 14, 23814])).
% 79.27/51.10 tff(23817,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.10 tff(23818,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23819,plain,
% 79.27/51.10 ((v26(constB183) | (~v113(constB183)) | v112(constB183)) <=> (v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23820,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183))))),
% 79.27/51.10 inference(monotonicity,[status(thm)],[23819])).
% 79.27/51.10 tff(23821,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 79.27/51.10 inference(transitivity,[status(thm)],[23820, 23818])).
% 79.27/51.10 tff(23822,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23823,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23822, 23821])).
% 79.27/51.10 tff(23824,plain,
% 79.27/51.10 (v112(constB183) | (~v113(constB183))),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23823, 555, 23817])).
% 79.27/51.10 tff(23825,plain,
% 79.27/51.10 (v112(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23824, 23813])).
% 79.27/51.10 tff(23826,plain,
% 79.27/51.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23827,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23828,plain,
% 79.27/51.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23827, 23826])).
% 79.27/51.10 tff(23829,plain,
% 79.27/51.10 (v108(constB183)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23828, 464, 23825])).
% 79.27/51.10 tff(23830,plain,
% 79.27/51.10 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23831,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 79.27/51.10 tff(23832,plain,
% 79.27/51.10 (nextState(constB183, constB184)),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23831, 23830])).
% 79.27/51.10 tff(23833,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23834,plain,
% 79.27/51.10 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23835,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 79.27/51.10 inference(monotonicity,[status(thm)],[23834])).
% 79.27/51.10 tff(23836,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 79.27/51.10 inference(transitivity,[status(thm)],[23835, 23833])).
% 79.27/51.10 tff(23837,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23838,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23837, 23836])).
% 79.27/51.10 tff(23839,plain,
% 79.27/51.10 (v110(constB184) | (~v108(constB183))),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23838, 571, 23832])).
% 79.27/51.10 tff(23840,plain,
% 79.27/51.10 (v110(constB184)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23839, 23829])).
% 79.27/51.10 tff(23841,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23842,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23843,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 79.27/51.10 tff(23844,plain,
% 79.27/51.10 (~v104(constB184)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23843, 589, 23832, 23687])).
% 79.27/51.10 tff(23845,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23846,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23847,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 79.27/51.10 tff(23848,plain,
% 79.27/51.10 (v102(constB184) | v104(constB184)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23847, 603, 23832])).
% 79.27/51.10 tff(23849,plain,
% 79.27/51.10 (v102(constB184)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23848, 23844])).
% 79.27/51.10 tff(23850,plain,
% 79.27/51.10 (v1(constB184) <=> v1(constB184)),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23851,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 79.27/51.10 tff(23852,plain,
% 79.27/51.10 (v1(constB184)),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23851, 23850])).
% 79.27/51.10 tff(23853,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23854,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 79.27/51.10 inference(quant_inst,[status(thm)],[])).
% 79.27/51.10 tff(23855,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 79.27/51.10 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 79.27/51.10 tff(23856,plain,
% 79.27/51.10 (v101(constB184) | (~v102(constB184))),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23855, 621, 23832, 23852])).
% 79.27/51.10 tff(23857,plain,
% 79.27/51.10 (v101(constB184)),
% 79.27/51.10 inference(unit_resolution,[status(thm)],[23856, 23849])).
% 79.27/51.10 tff(23858,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23859,plain,
% 79.27/51.10 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 79.27/51.10 inference(rewrite,[status(thm)],[])).
% 79.27/51.10 tff(23860,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 79.27/51.10 inference(monotonicity,[status(thm)],[23859])).
% 79.27/51.10 tff(23861,plain,
% 79.27/51.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 79.27/51.10 inference(transitivity,[status(thm)],[23860, 23858])).
% 79.27/51.10 tff(23862,plain,
% 79.27/51.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23863,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23862, 23861])).
% 79.27/51.11 tff(23864,plain,
% 79.27/51.11 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23863, 636, 23832])).
% 79.27/51.11 tff(23865,plain,
% 79.27/51.11 (v100(constB184) | (~v110(constB184))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23864, 23857])).
% 79.27/51.11 tff(23866,plain,
% 79.27/51.11 (v100(constB184)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23865, 23840])).
% 79.27/51.11 tff(23867,plain,
% 79.27/51.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23868,plain,
% 79.27/51.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23869,plain,
% 79.27/51.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 79.27/51.11 tff(23870,plain,
% 79.27/51.11 (~v130(constB183, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23869, 872, 23789])).
% 79.27/51.11 tff(23871,plain,
% 79.27/51.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23872,plain,
% 79.27/51.11 ((v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2))) <=> ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23873,plain,
% 79.27/51.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)))),
% 79.27/51.11 inference(monotonicity,[status(thm)],[23872])).
% 79.27/51.11 tff(23874,plain,
% 79.27/51.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 79.27/51.11 inference(transitivity,[status(thm)],[23873, 23871])).
% 79.27/51.11 tff(23875,plain,
% 79.27/51.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23876,plain,
% 79.27/51.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23875, 23874])).
% 79.27/51.11 tff(23877,plain,
% 79.27/51.11 ((~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23876, 430, 23817])).
% 79.27/51.11 tff(23878,plain,
% 79.27/51.11 (~v127(constB183, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23877, 23870])).
% 79.27/51.11 tff(23879,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23880,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23881,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 79.27/51.11 tff(23882,plain,
% 79.27/51.11 (v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23881, 451, 23832])).
% 79.27/51.11 tff(23883,plain,
% 79.27/51.11 (~v129(constB184, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23882, 23878])).
% 79.27/51.11 tff(23884,plain,
% 79.27/51.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23885,plain,
% 79.27/51.11 (((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23886,plain,
% 79.27/51.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))))),
% 79.27/51.11 inference(monotonicity,[status(thm)],[23885])).
% 79.27/51.11 tff(23887,plain,
% 79.27/51.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 79.27/51.11 inference(transitivity,[status(thm)],[23886, 23884])).
% 79.27/51.11 tff(23888,plain,
% 79.27/51.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23889,plain,
% 79.27/51.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 79.27/51.11 tff(23890,plain,
% 79.27/51.11 ((~v90(constB184, bitIndex2)) | (~v100(constB184))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23889, 655, 23883])).
% 79.27/51.11 tff(23891,plain,
% 79.27/51.11 (~v90(constB184, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23890, 23866])).
% 79.27/51.11 tff(23892,plain,
% 79.27/51.11 ((~v1(constB185)) <=> (~v1(constB185))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23893,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 79.27/51.11 tff(23894,plain,
% 79.27/51.11 (~v1(constB185)),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23893, 23892])).
% 79.27/51.11 tff(23895,plain,
% 79.27/51.11 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23896,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 79.27/51.11 tff(23897,plain,
% 79.27/51.11 (nextState(constB184, constB185)),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23896, 23895])).
% 79.27/51.11 tff(23898,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23899,plain,
% 79.27/51.11 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23900,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 79.27/51.11 inference(monotonicity,[status(thm)],[23899])).
% 79.27/51.11 tff(23901,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 79.27/51.11 inference(transitivity,[status(thm)],[23900, 23898])).
% 79.27/51.11 tff(23902,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23903,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23902, 23901])).
% 79.27/51.11 tff(23904,plain,
% 79.27/51.11 (~v101(constB185)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23903, 307, 23897, 23894])).
% 79.27/51.11 tff(23905,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23906,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23907,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 79.27/51.11 tff(23908,plain,
% 79.27/51.11 (v101(constB185) | (~v100(constB185))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23907, 324, 23897])).
% 79.27/51.11 tff(23909,plain,
% 79.27/51.11 (~v100(constB185)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23908, 23904])).
% 79.27/51.11 tff(23910,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23911,plain,
% 79.27/51.11 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23912,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))))),
% 79.27/51.11 inference(monotonicity,[status(thm)],[23911])).
% 79.27/51.11 tff(23913,plain,
% 79.27/51.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 79.27/51.11 inference(transitivity,[status(thm)],[23912, 23910])).
% 79.27/51.11 tff(23914,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23915,plain,
% 79.27/51.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 79.27/51.11 tff(23916,plain,
% 79.27/51.11 (v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23915, 339, 23897])).
% 79.27/51.11 tff(23917,plain,
% 79.27/51.11 (v90(constB184, bitIndex2) | (~v90(constB185, bitIndex2))),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23916, 23909])).
% 79.27/51.11 tff(23918,plain,
% 79.27/51.11 (~v90(constB185, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23917, 23891])).
% 79.27/51.11 tff(23919,plain,
% 79.27/51.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB185, bitIndex2) | (~v88(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB185, bitIndex2) | (~v88(constB185, bitIndex2)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23920,plain,
% 79.27/51.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB185, bitIndex2) | (~v88(constB185, bitIndex2)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23921,plain,
% 79.27/51.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB185, bitIndex2) | (~v88(constB185, bitIndex2))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23920, 23919])).
% 79.27/51.11 tff(23922,plain,
% 79.27/51.11 (~v88(constB185, bitIndex2)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23921, 11467, 23918])).
% 79.27/51.11 tff(23923,plain,
% 79.27/51.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 79.27/51.11 inference(rewrite,[status(thm)],[])).
% 79.27/51.11 tff(23924,plain,
% 79.27/51.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 79.27/51.11 inference(quant_inst,[status(thm)],[])).
% 79.27/51.11 tff(23925,plain,
% 79.27/51.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0))),
% 79.27/51.11 inference(modus_ponens,[status(thm)],[23924, 23923])).
% 79.27/51.11 tff(23926,plain,
% 79.27/51.11 (~v130(constB183, bitIndex0)),
% 79.27/51.11 inference(unit_resolution,[status(thm)],[23925, 1098, 23789])).
% 79.27/51.12 tff(23927,plain,
% 79.27/51.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23928,plain,
% 79.27/51.12 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23929,plain,
% 79.27/51.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 79.27/51.12 inference(monotonicity,[status(thm)],[23928])).
% 79.27/51.12 tff(23930,plain,
% 79.27/51.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 79.27/51.12 inference(transitivity,[status(thm)],[23929, 23927])).
% 79.27/51.12 tff(23931,plain,
% 79.27/51.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23932,plain,
% 79.27/51.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23931, 23930])).
% 79.27/51.12 tff(23933,plain,
% 79.27/51.12 ((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23932, 1112, 23817])).
% 79.27/51.12 tff(23934,plain,
% 79.27/51.12 (~v127(constB183, bitIndex0)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23933, 23926])).
% 79.27/51.12 tff(23935,plain,
% 79.27/51.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23936,plain,
% 79.27/51.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23937,plain,
% 79.27/51.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23936, 23935])).
% 79.27/51.12 tff(23938,plain,
% 79.27/51.12 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23937, 1130, 23832])).
% 79.27/51.12 tff(23939,plain,
% 79.27/51.12 (~v129(constB184, bitIndex0)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23938, 23934])).
% 79.27/51.12 tff(23940,plain,
% 79.27/51.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23941,plain,
% 79.27/51.12 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23942,plain,
% 79.27/51.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 79.27/51.12 inference(monotonicity,[status(thm)],[23941])).
% 79.27/51.12 tff(23943,plain,
% 79.27/51.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 79.27/51.12 inference(transitivity,[status(thm)],[23942, 23940])).
% 79.27/51.12 tff(23944,plain,
% 79.27/51.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23945,plain,
% 79.27/51.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23944, 23943])).
% 79.27/51.12 tff(23946,plain,
% 79.27/51.12 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23945, 1145, 23939])).
% 79.27/51.12 tff(23947,plain,
% 79.27/51.12 (~v90(constB184, bitIndex0)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23946, 23866])).
% 79.27/51.12 tff(23948,plain,
% 79.27/51.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23949,plain,
% 79.27/51.12 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23950,plain,
% 79.27/51.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 79.27/51.12 inference(monotonicity,[status(thm)],[23949])).
% 79.27/51.12 tff(23951,plain,
% 79.27/51.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 79.27/51.12 inference(transitivity,[status(thm)],[23950, 23948])).
% 79.27/51.12 tff(23952,plain,
% 79.27/51.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23953,plain,
% 79.27/51.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23952, 23951])).
% 79.27/51.12 tff(23954,plain,
% 79.27/51.12 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23953, 381, 23897])).
% 79.27/51.12 tff(23955,plain,
% 79.27/51.12 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23954, 23909])).
% 79.27/51.12 tff(23956,plain,
% 79.27/51.12 (~v90(constB185, bitIndex0)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23955, 23947])).
% 79.27/51.12 tff(23957,plain,
% 79.27/51.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23958,plain,
% 79.27/51.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23959,plain,
% 79.27/51.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0))),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23958, 23957])).
% 79.27/51.12 tff(23960,plain,
% 79.27/51.12 (~v88(constB185, bitIndex0)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23959, 10755, 23956])).
% 79.27/51.12 tff(23961,plain,
% 79.27/51.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23962,plain,
% 79.27/51.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23963,plain,
% 79.27/51.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 79.27/51.12 tff(23964,plain,
% 79.27/51.12 (v130(constB183, bitIndex1)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23963, 1017, 23789])).
% 79.27/51.12 tff(23965,plain,
% 79.27/51.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 79.27/51.12 inference(rewrite,[status(thm)],[])).
% 79.27/51.12 tff(23966,plain,
% 79.27/51.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 79.27/51.12 inference(quant_inst,[status(thm)],[])).
% 79.27/51.12 tff(23967,plain,
% 79.27/51.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 79.27/51.12 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 79.27/51.12 tff(23968,plain,
% 79.27/51.12 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23967, 1031, 23817])).
% 79.27/51.12 tff(23969,plain,
% 79.27/51.12 (v127(constB183, bitIndex1)),
% 79.27/51.12 inference(unit_resolution,[status(thm)],[23968, 23964])).
% 79.27/51.12 tff(23970,plain,
% 79.27/51.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23971,plain,
% 79.27/51.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(23972,plain,
% 79.27/51.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[23971, 23970])).
% 79.27/51.13 tff(23973,plain,
% 79.27/51.13 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23972, 1046, 23832])).
% 79.27/51.13 tff(23974,plain,
% 79.27/51.13 (v129(constB184, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23973, 23969])).
% 79.27/51.13 tff(23975,plain,
% 79.27/51.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23976,plain,
% 79.27/51.13 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23977,plain,
% 79.27/51.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 79.27/51.13 inference(monotonicity,[status(thm)],[23976])).
% 79.27/51.13 tff(23978,plain,
% 79.27/51.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 79.27/51.13 inference(transitivity,[status(thm)],[23977, 23975])).
% 79.27/51.13 tff(23979,plain,
% 79.27/51.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(23980,plain,
% 79.27/51.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 79.27/51.13 tff(23981,plain,
% 79.27/51.13 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23980, 1061, 23974])).
% 79.27/51.13 tff(23982,plain,
% 79.27/51.13 (v90(constB184, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23981, 23866])).
% 79.27/51.13 tff(23983,plain,
% 79.27/51.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23984,plain,
% 79.27/51.13 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23985,plain,
% 79.27/51.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 79.27/51.13 inference(monotonicity,[status(thm)],[23984])).
% 79.27/51.13 tff(23986,plain,
% 79.27/51.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 79.27/51.13 inference(transitivity,[status(thm)],[23985, 23983])).
% 79.27/51.13 tff(23987,plain,
% 79.27/51.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(23988,plain,
% 79.27/51.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 79.27/51.13 tff(23989,plain,
% 79.27/51.13 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23988, 1079, 23897])).
% 79.27/51.13 tff(23990,plain,
% 79.27/51.13 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23989, 23909])).
% 79.27/51.13 tff(23991,plain,
% 79.27/51.13 (v90(constB185, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23990, 23982])).
% 79.27/51.13 tff(23992,plain,
% 79.27/51.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23993,plain,
% 79.27/51.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(23994,plain,
% 79.27/51.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1)),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[23993, 23992])).
% 79.27/51.13 tff(23995,plain,
% 79.27/51.13 (v88(constB185, bitIndex1)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[23994, 10690, 23991])).
% 79.27/51.13 tff(23996,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v143(constB185))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v143(constB185))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23997,plain,
% 79.27/51.13 ((v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185)) <=> (v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v143(constB185))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(23998,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v143(constB185)))),
% 79.27/51.13 inference(monotonicity,[status(thm)],[23997])).
% 79.27/51.13 tff(23999,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v143(constB185))),
% 79.27/51.13 inference(transitivity,[status(thm)],[23998, 23996])).
% 79.27/51.13 tff(24000,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24001,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v143(constB185)),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 79.27/51.13 tff(24002,plain,
% 79.27/51.13 (v143(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24001, 19614, 23995, 23960, 23922])).
% 79.27/51.13 tff(24003,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB185) | (~v143(constB185)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB185) | (~v143(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24004,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB185) | (~v143(constB185)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24005,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB185) | (~v143(constB185))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24004, 24003])).
% 79.27/51.13 tff(24006,plain,
% 79.27/51.13 (v142(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24005, 19629, 24002])).
% 79.27/51.13 tff(24007,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB185) | (~v142(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24008,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB185) | (~v142(constB185)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24009,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB185) | (~v142(constB185))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24008, 24007])).
% 79.27/51.13 tff(24010,plain,
% 79.27/51.13 (v227(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24009, 10806, 24006])).
% 79.27/51.13 tff(24011,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB185) | (~v227(constB185)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB185) | (~v227(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24012,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB185) | (~v227(constB185)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24013,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB185) | (~v227(constB185))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 79.27/51.13 tff(24014,plain,
% 79.27/51.13 (v226(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24013, 10817, 24010])).
% 79.27/51.13 tff(24015,plain,
% 79.27/51.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v139(constB185)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v139(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24016,plain,
% 79.27/51.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v139(constB185)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24017,plain,
% 79.27/51.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v139(constB185))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24016, 24015])).
% 79.27/51.13 tff(24018,plain,
% 79.27/51.13 (~v139(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24017, 11863, 23995])).
% 79.27/51.13 tff(24019,plain,
% 79.27/51.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v140(constB185)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v140(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24020,plain,
% 79.27/51.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v140(constB185)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24021,plain,
% 79.27/51.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v140(constB185))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 79.27/51.13 tff(24022,plain,
% 79.27/51.13 (~v140(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24021, 11526, 23995])).
% 79.27/51.13 tff(24023,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24024,plain,
% 79.27/51.13 ((v140(constB185) | v139(constB185) | (~v168(constB185))) <=> (v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24025,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v168(constB185))))),
% 79.27/51.13 inference(monotonicity,[status(thm)],[24024])).
% 79.27/51.13 tff(24026,plain,
% 79.27/51.13 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 79.27/51.13 inference(transitivity,[status(thm)],[24025, 24023])).
% 79.27/51.13 tff(24027,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))),
% 79.27/51.13 inference(quant_inst,[status(thm)],[])).
% 79.27/51.13 tff(24028,plain,
% 79.27/51.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185))),
% 79.27/51.13 inference(modus_ponens,[status(thm)],[24027, 24026])).
% 79.27/51.13 tff(24029,plain,
% 79.27/51.13 (~v168(constB185)),
% 79.27/51.13 inference(unit_resolution,[status(thm)],[24028, 10907, 24022, 24018])).
% 79.27/51.13 tff(24030,plain,
% 79.27/51.13 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB185)) | v168(constB185) | (~v226(constB185)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB185)) | v168(constB185) | (~v226(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24031,plain,
% 79.27/51.13 ((v168(constB185) | (~v226(constB185)) | (~v161(constB185))) <=> ((~v161(constB185)) | v168(constB185) | (~v226(constB185)))),
% 79.27/51.13 inference(rewrite,[status(thm)],[])).
% 79.27/51.13 tff(24032,plain,
% 79.27/51.13 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB185) | (~v226(constB185)) | (~v161(constB185)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB185)) | v168(constB185) | (~v226(constB185))))),
% 79.27/51.13 inference(monotonicity,[status(thm)],[24031])).
% 79.27/51.14 tff(24033,plain,
% 79.27/51.14 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB185) | (~v226(constB185)) | (~v161(constB185)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB185)) | v168(constB185) | (~v226(constB185)))),
% 79.27/51.14 inference(transitivity,[status(thm)],[24032, 24030])).
% 79.27/51.14 tff(24034,plain,
% 79.27/51.14 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB185) | (~v226(constB185)) | (~v161(constB185)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24035,plain,
% 79.27/51.14 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB185)) | v168(constB185) | (~v226(constB185))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24034, 24033])).
% 79.27/51.14 tff(24036,plain,
% 79.27/51.14 ((~v161(constB185)) | (~v226(constB185))),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24035, 10975, 24029])).
% 79.27/51.14 tff(24037,plain,
% 79.27/51.14 (~v161(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24036, 24014])).
% 79.27/51.14 tff(24038,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB185) | (~v187(constB185)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB185) | (~v187(constB185)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24039,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB185) | (~v187(constB185)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24040,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB185) | (~v187(constB185))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24039, 24038])).
% 79.27/51.14 tff(24041,plain,
% 79.27/51.14 (~v187(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24040, 10989, 24037])).
% 79.27/51.14 tff(24042,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB185) | (~v185(constB185)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB185) | (~v185(constB185)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24043,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB185) | (~v185(constB185)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24044,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB185) | (~v185(constB185))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 79.27/51.14 tff(24045,plain,
% 79.27/51.14 (~v185(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24044, 11000, 24041])).
% 79.27/51.14 tff(24046,assumption,(v18(constB186)), introduced(assumption)).
% 79.27/51.14 tff(24047,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB186))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24048,plain,
% 79.27/51.14 ($false),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24047, 70, 24046])).
% 79.27/51.14 tff(24049,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.14 tff(24050,plain,
% 79.27/51.14 (v1(constB186) <=> v1(constB186)),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24051,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 79.27/51.14 tff(24052,plain,
% 79.27/51.14 (v1(constB186)),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24051, 24050])).
% 79.27/51.14 tff(24053,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24054,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24055,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 79.27/51.14 tff(24056,plain,
% 79.27/51.14 (v22(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24055, 83, 24052])).
% 79.27/51.14 tff(24057,plain,
% 79.27/51.14 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24058,plain,
% 79.27/51.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24059,plain,
% 79.27/51.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186)),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24058, 24057])).
% 79.27/51.14 tff(24060,plain,
% 79.27/51.14 ((~v19(constB186)) | v18(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24059, 97, 24056])).
% 79.27/51.14 tff(24061,plain,
% 79.27/51.14 (~v19(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24060, 24049])).
% 79.27/51.14 tff(24062,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24063,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24064,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 79.27/51.14 tff(24065,plain,
% 79.27/51.14 (v13(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24064, 112, 24061])).
% 79.27/51.14 tff(24066,plain,
% 79.27/51.14 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24067,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 79.27/51.14 tff(24068,plain,
% 79.27/51.14 (nextState(constB185, constB186)),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 79.27/51.14 tff(24069,plain,
% 79.27/51.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24070,plain,
% 79.27/51.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24071,plain,
% 79.27/51.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185)),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24070, 24069])).
% 79.27/51.14 tff(24072,plain,
% 79.27/51.14 ((~v13(constB186)) | v9(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24071, 129, 24068])).
% 79.27/51.14 tff(24073,plain,
% 79.27/51.14 (v9(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24072, 24065])).
% 79.27/51.14 tff(24074,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24075,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24076,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185)),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 79.27/51.14 tff(24077,plain,
% 79.27/51.14 ((~v9(constB185)) | v184(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24076, 11036, 23894])).
% 79.27/51.14 tff(24078,plain,
% 79.27/51.14 (v184(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24077, 24073])).
% 79.27/51.14 tff(24079,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB185) | (~v184(constB185)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB185) | (~v184(constB185)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24080,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB185) | (~v184(constB185)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24081,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB185) | (~v184(constB185))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24080, 24079])).
% 79.27/51.14 tff(24082,plain,
% 79.27/51.14 (v183(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24081, 11048, 24078])).
% 79.27/51.14 tff(24083,plain,
% 79.27/51.14 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB185)) | (~v183(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB185)) | (~v183(constB185)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24084,plain,
% 79.27/51.14 (((~v183(constB185)) | (~v181(constB185))) <=> ((~v181(constB185)) | (~v183(constB185)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24085,plain,
% 79.27/51.14 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB185)) | (~v181(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB185)) | (~v183(constB185))))),
% 79.27/51.14 inference(monotonicity,[status(thm)],[24084])).
% 79.27/51.14 tff(24086,plain,
% 79.27/51.14 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB185)) | (~v181(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB185)) | (~v183(constB185)))),
% 79.27/51.14 inference(transitivity,[status(thm)],[24085, 24083])).
% 79.27/51.14 tff(24087,plain,
% 79.27/51.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB185)) | (~v181(constB185)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24088,plain,
% 79.27/51.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB185)) | (~v183(constB185))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 79.27/51.14 tff(24089,plain,
% 79.27/51.14 (~v181(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24088, 11059, 24082])).
% 79.27/51.14 tff(24090,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB185) | v185(constB185) | (~v178(constB185)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB185) | v185(constB185) | (~v178(constB185)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24091,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB185) | v185(constB185) | (~v178(constB185)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24092,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB185) | v185(constB185) | (~v178(constB185))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24091, 24090])).
% 79.27/51.14 tff(24093,plain,
% 79.27/51.14 (v185(constB185) | (~v178(constB185))),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24092, 11073, 24089])).
% 79.27/51.14 tff(24094,plain,
% 79.27/51.14 (~v178(constB185)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24093, 24045])).
% 79.27/51.14 tff(24095,plain,
% 79.27/51.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24096,plain,
% 79.27/51.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24097,plain,
% 79.27/51.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24096, 24095])).
% 79.27/51.14 tff(24098,plain,
% 79.27/51.14 (v178(constB185) | (~v180(constB186))),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24097, 11088, 24068])).
% 79.27/51.14 tff(24099,plain,
% 79.27/51.14 (~v180(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24098, 24094])).
% 79.27/51.14 tff(24100,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB186) | (~v181(constB186)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB186) | (~v181(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24101,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB186) | (~v181(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24102,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB186) | (~v181(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24101, 24100])).
% 79.27/51.14 tff(24103,plain,
% 79.27/51.14 (~v181(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24102, 11100, 24099])).
% 79.27/51.14 tff(24104,plain,
% 79.27/51.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24105,plain,
% 79.27/51.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24106,plain,
% 79.27/51.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24105, 24104])).
% 79.27/51.14 tff(24107,plain,
% 79.27/51.14 (~v184(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24106, 11111, 24052])).
% 79.27/51.14 tff(24108,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB186) | (~v187(constB186)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB186) | (~v187(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24109,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB186) | (~v187(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24110,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB186) | (~v187(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24109, 24108])).
% 79.27/51.14 tff(24111,plain,
% 79.27/51.14 (~v187(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24110, 11122, 24107])).
% 79.27/51.14 tff(24112,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB186) | (~v185(constB186)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB186) | (~v185(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24113,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB186) | (~v185(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24114,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB186) | (~v185(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24113, 24112])).
% 79.27/51.14 tff(24115,plain,
% 79.27/51.14 (~v185(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24114, 11000, 24111])).
% 79.27/51.14 tff(24116,plain,
% 79.27/51.14 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB186) | v185(constB186) | (~v178(constB186)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB186) | v185(constB186) | (~v178(constB186)))),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24117,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB186) | v185(constB186) | (~v178(constB186)))),
% 79.27/51.14 inference(quant_inst,[status(thm)],[])).
% 79.27/51.14 tff(24118,plain,
% 79.27/51.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB186) | v185(constB186) | (~v178(constB186))),
% 79.27/51.14 inference(modus_ponens,[status(thm)],[24117, 24116])).
% 79.27/51.14 tff(24119,plain,
% 79.27/51.14 (v181(constB186) | (~v178(constB186))),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24118, 11073, 24115])).
% 79.27/51.14 tff(24120,plain,
% 79.27/51.14 (~v178(constB186)),
% 79.27/51.14 inference(unit_resolution,[status(thm)],[24119, 24103])).
% 79.27/51.14 tff(24121,plain,
% 79.27/51.14 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 79.27/51.14 inference(rewrite,[status(thm)],[])).
% 79.27/51.14 tff(24122,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 79.27/51.14 tff(24123,plain,
% 79.27/51.14 (nextState(constB186, constB187)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24122, 24121])).
% 79.27/51.15 tff(24124,plain,
% 79.27/51.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24125,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24126,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24125, 24124])).
% 79.27/51.15 tff(24127,plain,
% 79.27/51.15 (v178(constB186) | (~v180(constB187))),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24126, 11088, 24123])).
% 79.27/51.15 tff(24128,plain,
% 79.27/51.15 (~v180(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24127, 24120])).
% 79.27/51.15 tff(24129,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB187) | (~v215(constB187)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB187) | (~v215(constB187)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24130,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB187) | (~v215(constB187)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24131,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB187) | (~v215(constB187))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24130, 24129])).
% 79.27/51.15 tff(24132,plain,
% 79.27/51.15 (~v215(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24131, 11147, 24128])).
% 79.27/51.15 tff(24133,assumption,(v18(constB188)), introduced(assumption)).
% 79.27/51.15 tff(24134,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB188))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24135,plain,
% 79.27/51.15 ($false),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24134, 70, 24133])).
% 79.27/51.15 tff(24136,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.15 tff(24137,plain,
% 79.27/51.15 (v1(constB188) <=> v1(constB188)),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24138,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 79.27/51.15 tff(24139,plain,
% 79.27/51.15 (v1(constB188)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 79.27/51.15 tff(24140,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24141,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24142,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24141, 24140])).
% 79.27/51.15 tff(24143,plain,
% 79.27/51.15 (v22(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24142, 83, 24139])).
% 79.27/51.15 tff(24144,plain,
% 79.27/51.15 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24145,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24146,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 79.27/51.15 tff(24147,plain,
% 79.27/51.15 ((~v19(constB188)) | v18(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24146, 97, 24143])).
% 79.27/51.15 tff(24148,plain,
% 79.27/51.15 (~v19(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24147, 24136])).
% 79.27/51.15 tff(24149,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24150,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24151,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 79.27/51.15 tff(24152,plain,
% 79.27/51.15 (v13(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24151, 112, 24148])).
% 79.27/51.15 tff(24153,plain,
% 79.27/51.15 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24154,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 79.27/51.15 tff(24155,plain,
% 79.27/51.15 (nextState(constB187, constB188)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24154, 24153])).
% 79.27/51.15 tff(24156,plain,
% 79.27/51.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24157,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24158,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 79.27/51.15 tff(24159,plain,
% 79.27/51.15 ((~v13(constB188)) | v9(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24158, 129, 24155])).
% 79.27/51.15 tff(24160,plain,
% 79.27/51.15 (v9(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24159, 24152])).
% 79.27/51.15 tff(24161,plain,
% 79.27/51.15 ((~v1(constB187)) <=> (~v1(constB187))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24162,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 79.27/51.15 tff(24163,plain,
% 79.27/51.15 (~v1(constB187)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24162, 24161])).
% 79.27/51.15 tff(24164,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v184(constB187))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB187) | (~v9(constB187)) | v184(constB187))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24165,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v184(constB187))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24166,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB187) | (~v9(constB187)) | v184(constB187)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24165, 24164])).
% 79.27/51.15 tff(24167,plain,
% 79.27/51.15 ((~v9(constB187)) | v184(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24166, 11036, 24163])).
% 79.27/51.15 tff(24168,plain,
% 79.27/51.15 (v184(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24167, 24160])).
% 79.27/51.15 tff(24169,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB187) | (~v184(constB187)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB187) | (~v184(constB187)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24170,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB187) | (~v184(constB187)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24171,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB187) | (~v184(constB187))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 79.27/51.15 tff(24172,plain,
% 79.27/51.15 (v183(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24171, 11048, 24168])).
% 79.27/51.15 tff(24173,plain,
% 79.27/51.15 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB187)) | (~v214(constB187)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB187)) | (~v214(constB187)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24174,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB187)) | (~v214(constB187)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24175,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB187)) | (~v214(constB187))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 79.27/51.15 tff(24176,plain,
% 79.27/51.15 (~v214(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24175, 11189, 24172])).
% 79.27/51.15 tff(24177,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB187) | v215(constB187) | (~v211(constB187)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB187) | v215(constB187) | (~v211(constB187)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24178,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB187) | v215(constB187) | (~v211(constB187)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24179,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB187) | v215(constB187) | (~v211(constB187))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24178, 24177])).
% 79.27/51.15 tff(24180,plain,
% 79.27/51.15 (v215(constB187) | (~v211(constB187))),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24179, 11203, 24176])).
% 79.27/51.15 tff(24181,plain,
% 79.27/51.15 (~v211(constB187)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24180, 24132])).
% 79.27/51.15 tff(24182,plain,
% 79.27/51.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB187, constB188)) | v211(constB187) | (~v213(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB187, constB188)) | v211(constB187) | (~v213(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24183,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB187, constB188)) | v211(constB187) | (~v213(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24184,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB187, constB188)) | v211(constB187) | (~v213(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 79.27/51.15 tff(24185,plain,
% 79.27/51.15 (v211(constB187) | (~v213(constB188))),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24184, 11218, 24155])).
% 79.27/51.15 tff(24186,plain,
% 79.27/51.15 (~v213(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24185, 24181])).
% 79.27/51.15 tff(24187,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB188) | (~v214(constB188)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB188) | (~v214(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24188,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB188) | (~v214(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24189,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB188) | (~v214(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24188, 24187])).
% 79.27/51.15 tff(24190,plain,
% 79.27/51.15 (~v214(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24189, 11230, 24186])).
% 79.27/51.15 tff(24191,plain,
% 79.27/51.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB188)) | (~v184(constB188)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB188)) | (~v184(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24192,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB188)) | (~v184(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24193,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB188)) | (~v184(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24192, 24191])).
% 79.27/51.15 tff(24194,plain,
% 79.27/51.15 (~v184(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24193, 11111, 24139])).
% 79.27/51.15 tff(24195,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB188) | (~v217(constB188)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB188) | (~v217(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24196,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB188) | (~v217(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24197,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB188) | (~v217(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24196, 24195])).
% 79.27/51.15 tff(24198,plain,
% 79.27/51.15 (~v217(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24197, 11245, 24194])).
% 79.27/51.15 tff(24199,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB188) | (~v216(constB188)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB188) | (~v216(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24200,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB188) | (~v216(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24201,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB188) | (~v216(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 79.27/51.15 tff(24202,plain,
% 79.27/51.15 (~v216(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24201, 11256, 24198])).
% 79.27/51.15 tff(24203,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB188) | (~v215(constB188)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB188) | (~v215(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24204,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB188) | (~v215(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24205,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB188) | (~v215(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24204, 24203])).
% 79.27/51.15 tff(24206,plain,
% 79.27/51.15 (~v215(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24205, 11267, 24202])).
% 79.27/51.15 tff(24207,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB188) | v215(constB188) | (~v211(constB188)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB188) | v215(constB188) | (~v211(constB188)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24208,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB188) | v215(constB188) | (~v211(constB188)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24209,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB188) | v215(constB188) | (~v211(constB188))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24208, 24207])).
% 79.27/51.15 tff(24210,plain,
% 79.27/51.15 (v214(constB188) | (~v211(constB188))),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24209, 11203, 24206])).
% 79.27/51.15 tff(24211,plain,
% 79.27/51.15 (~v211(constB188)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24210, 24190])).
% 79.27/51.15 tff(24212,plain,
% 79.27/51.15 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24213,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 79.27/51.15 tff(24214,plain,
% 79.27/51.15 (nextState(constB188, constB189)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24213, 24212])).
% 79.27/51.15 tff(24215,plain,
% 79.27/51.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB188, constB189)) | v211(constB188) | (~v213(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB188, constB189)) | v211(constB188) | (~v213(constB189)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24216,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB188, constB189)) | v211(constB188) | (~v213(constB189)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24217,plain,
% 79.27/51.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB188, constB189)) | v211(constB188) | (~v213(constB189))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 79.27/51.15 tff(24218,plain,
% 79.27/51.15 (v211(constB188) | (~v213(constB189))),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24217, 11218, 24214])).
% 79.27/51.15 tff(24219,plain,
% 79.27/51.15 (~v213(constB189)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24218, 24211])).
% 79.27/51.15 tff(24220,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB189) | (~v245(constB189)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB189) | (~v245(constB189)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24221,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB189) | (~v245(constB189)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24222,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB189) | (~v245(constB189))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 79.27/51.15 tff(24223,plain,
% 79.27/51.15 (~v245(constB189)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24222, 11683, 24219])).
% 79.27/51.15 tff(24224,assumption,(v18(constB190)), introduced(assumption)).
% 79.27/51.15 tff(24225,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB190))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24226,plain,
% 79.27/51.15 ($false),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24225, 70, 24224])).
% 79.27/51.15 tff(24227,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.15 tff(24228,plain,
% 79.27/51.15 (v1(constB190) <=> v1(constB190)),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24229,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 79.27/51.15 tff(24230,plain,
% 79.27/51.15 (v1(constB190)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24229, 24228])).
% 79.27/51.15 tff(24231,plain,
% 79.27/51.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24232,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24233,plain,
% 79.27/51.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24232, 24231])).
% 79.27/51.15 tff(24234,plain,
% 79.27/51.15 (v22(constB190)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24233, 83, 24230])).
% 79.27/51.15 tff(24235,plain,
% 79.27/51.15 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 79.27/51.15 inference(rewrite,[status(thm)],[])).
% 79.27/51.15 tff(24236,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 79.27/51.15 inference(quant_inst,[status(thm)],[])).
% 79.27/51.15 tff(24237,plain,
% 79.27/51.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190)),
% 79.27/51.15 inference(modus_ponens,[status(thm)],[24236, 24235])).
% 79.27/51.15 tff(24238,plain,
% 79.27/51.15 ((~v19(constB190)) | v18(constB190)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24237, 97, 24234])).
% 79.27/51.15 tff(24239,plain,
% 79.27/51.15 (~v19(constB190)),
% 79.27/51.15 inference(unit_resolution,[status(thm)],[24238, 24227])).
% 79.27/51.16 tff(24240,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24241,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24242,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24241, 24240])).
% 79.27/51.16 tff(24243,plain,
% 79.27/51.16 (v13(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24242, 112, 24239])).
% 79.27/51.16 tff(24244,plain,
% 79.27/51.16 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24245,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 79.27/51.16 tff(24246,plain,
% 79.27/51.16 (nextState(constB189, constB190)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 79.27/51.16 tff(24247,plain,
% 79.27/51.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24248,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24249,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 79.27/51.16 tff(24250,plain,
% 79.27/51.16 ((~v13(constB190)) | v9(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24249, 129, 24246])).
% 79.27/51.16 tff(24251,plain,
% 79.27/51.16 (v9(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24250, 24243])).
% 79.27/51.16 tff(24252,plain,
% 79.27/51.16 ((~v1(constB189)) <=> (~v1(constB189))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24253,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 79.27/51.16 tff(24254,plain,
% 79.27/51.16 (~v1(constB189)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24253, 24252])).
% 79.27/51.16 tff(24255,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v184(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB189) | (~v9(constB189)) | v184(constB189))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24256,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v184(constB189))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24257,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB189) | (~v9(constB189)) | v184(constB189)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 79.27/51.16 tff(24258,plain,
% 79.27/51.16 ((~v9(constB189)) | v184(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24257, 11036, 24254])).
% 79.27/51.16 tff(24259,plain,
% 79.27/51.16 (v184(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24258, 24251])).
% 79.27/51.16 tff(24260,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB189) | (~v184(constB189)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB189) | (~v184(constB189)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24261,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB189) | (~v184(constB189)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24262,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB189) | (~v184(constB189))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 79.27/51.16 tff(24263,plain,
% 79.27/51.16 (v183(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24262, 11048, 24259])).
% 79.27/51.16 tff(24264,plain,
% 79.27/51.16 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB189)) | (~v244(constB189)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB189)) | (~v244(constB189)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24265,plain,
% 79.27/51.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB189)) | (~v244(constB189)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24266,plain,
% 79.27/51.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB189)) | (~v244(constB189))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24265, 24264])).
% 79.27/51.16 tff(24267,plain,
% 79.27/51.16 (~v244(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24266, 11694, 24263])).
% 79.27/51.16 tff(24268,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB189) | v245(constB189) | (~v241(constB189)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB189) | v245(constB189) | (~v241(constB189)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24269,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB189) | v245(constB189) | (~v241(constB189)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24270,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB189) | v245(constB189) | (~v241(constB189))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24269, 24268])).
% 79.27/51.16 tff(24271,plain,
% 79.27/51.16 (v245(constB189) | (~v241(constB189))),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24270, 11708, 24267])).
% 79.27/51.16 tff(24272,plain,
% 79.27/51.16 (~v241(constB189)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24271, 24223])).
% 79.27/51.16 tff(24273,plain,
% 79.27/51.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB189, constB190)) | v241(constB189) | (~v243(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB189, constB190)) | v241(constB189) | (~v243(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24274,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB189, constB190)) | v241(constB189) | (~v243(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24275,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB189, constB190)) | v241(constB189) | (~v243(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 79.27/51.16 tff(24276,plain,
% 79.27/51.16 (v241(constB189) | (~v243(constB190))),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24275, 11723, 24246])).
% 79.27/51.16 tff(24277,plain,
% 79.27/51.16 (~v243(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24276, 24272])).
% 79.27/51.16 tff(24278,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB190) | (~v244(constB190)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB190) | (~v244(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24279,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB190) | (~v244(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24280,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB190) | (~v244(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24279, 24278])).
% 79.27/51.16 tff(24281,plain,
% 79.27/51.16 (~v244(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24280, 11735, 24277])).
% 79.27/51.16 tff(24282,plain,
% 79.27/51.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB190)) | (~v184(constB190)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB190)) | (~v184(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24283,plain,
% 79.27/51.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB190)) | (~v184(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24284,plain,
% 79.27/51.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB190)) | (~v184(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 79.27/51.16 tff(24285,plain,
% 79.27/51.16 (~v184(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24284, 11111, 24230])).
% 79.27/51.16 tff(24286,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB190) | (~v247(constB190)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB190) | (~v247(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24287,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB190) | (~v247(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24288,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB190) | (~v247(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24287, 24286])).
% 79.27/51.16 tff(24289,plain,
% 79.27/51.16 (~v247(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24288, 11746, 24285])).
% 79.27/51.16 tff(24290,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB190) | (~v246(constB190)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB190) | (~v246(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24291,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB190) | (~v246(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24292,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB190) | (~v246(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24291, 24290])).
% 79.27/51.16 tff(24293,plain,
% 79.27/51.16 (~v246(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24292, 11757, 24289])).
% 79.27/51.16 tff(24294,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB190) | (~v245(constB190)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB190) | (~v245(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24295,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB190) | (~v245(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24296,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB190) | (~v245(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 79.27/51.16 tff(24297,plain,
% 79.27/51.16 (~v245(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24296, 11768, 24293])).
% 79.27/51.16 tff(24298,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB190) | v245(constB190) | (~v241(constB190)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB190) | v245(constB190) | (~v241(constB190)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24299,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB190) | v245(constB190) | (~v241(constB190)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24300,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB190) | v245(constB190) | (~v241(constB190))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24299, 24298])).
% 79.27/51.16 tff(24301,plain,
% 79.27/51.16 (v244(constB190) | (~v241(constB190))),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24300, 11708, 24297])).
% 79.27/51.16 tff(24302,plain,
% 79.27/51.16 (~v241(constB190)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24301, 24281])).
% 79.27/51.16 tff(24303,plain,
% 79.27/51.16 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24304,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 79.27/51.16 tff(24305,plain,
% 79.27/51.16 (nextState(constB190, constB191)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24304, 24303])).
% 79.27/51.16 tff(24306,plain,
% 79.27/51.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB190, constB191)) | v241(constB190) | (~v243(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB190, constB191)) | v241(constB190) | (~v243(constB191)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24307,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB190, constB191)) | v241(constB190) | (~v243(constB191)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24308,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB190, constB191)) | v241(constB190) | (~v243(constB191))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 79.27/51.16 tff(24309,plain,
% 79.27/51.16 (v241(constB190) | (~v243(constB191))),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24308, 11723, 24305])).
% 79.27/51.16 tff(24310,plain,
% 79.27/51.16 (~v243(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24309, 24302])).
% 79.27/51.16 tff(24311,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB191) | (~v260(constB191)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB191) | (~v260(constB191)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24312,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB191) | (~v260(constB191)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24313,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB191) | (~v260(constB191))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24312, 24311])).
% 79.27/51.16 tff(24314,plain,
% 79.27/51.16 (~v260(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24313, 12130, 24310])).
% 79.27/51.16 tff(24315,assumption,(v18(constB192)), introduced(assumption)).
% 79.27/51.16 tff(24316,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB192))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24317,plain,
% 79.27/51.16 ($false),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24316, 70, 24315])).
% 79.27/51.16 tff(24318,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.16 tff(24319,plain,
% 79.27/51.16 (v1(constB192) <=> v1(constB192)),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24320,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 79.27/51.16 tff(24321,plain,
% 79.27/51.16 (v1(constB192)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 79.27/51.16 tff(24322,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24323,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24324,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 79.27/51.16 tff(24325,plain,
% 79.27/51.16 (v22(constB192)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24324, 83, 24321])).
% 79.27/51.16 tff(24326,plain,
% 79.27/51.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24327,plain,
% 79.27/51.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24328,plain,
% 79.27/51.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 79.27/51.16 tff(24329,plain,
% 79.27/51.16 ((~v19(constB192)) | v18(constB192)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24328, 97, 24325])).
% 79.27/51.16 tff(24330,plain,
% 79.27/51.16 (~v19(constB192)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24329, 24318])).
% 79.27/51.16 tff(24331,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24332,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24333,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24332, 24331])).
% 79.27/51.16 tff(24334,plain,
% 79.27/51.16 (v13(constB192)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24333, 112, 24330])).
% 79.27/51.16 tff(24335,plain,
% 79.27/51.16 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24336,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 79.27/51.16 tff(24337,plain,
% 79.27/51.16 (nextState(constB191, constB192)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24336, 24335])).
% 79.27/51.16 tff(24338,plain,
% 79.27/51.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24339,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24340,plain,
% 79.27/51.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 79.27/51.16 tff(24341,plain,
% 79.27/51.16 ((~v13(constB192)) | v9(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24340, 129, 24337])).
% 79.27/51.16 tff(24342,plain,
% 79.27/51.16 (v9(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24341, 24334])).
% 79.27/51.16 tff(24343,plain,
% 79.27/51.16 ((~v1(constB191)) <=> (~v1(constB191))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24344,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 79.27/51.16 tff(24345,plain,
% 79.27/51.16 (~v1(constB191)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24344, 24343])).
% 79.27/51.16 tff(24346,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v184(constB191))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB191) | (~v9(constB191)) | v184(constB191))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24347,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v184(constB191))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24348,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB191) | (~v9(constB191)) | v184(constB191)),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24347, 24346])).
% 79.27/51.16 tff(24349,plain,
% 79.27/51.16 ((~v9(constB191)) | v184(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24348, 11036, 24345])).
% 79.27/51.16 tff(24350,plain,
% 79.27/51.16 (v184(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24349, 24342])).
% 79.27/51.16 tff(24351,plain,
% 79.27/51.16 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB191) | (~v184(constB191)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB191) | (~v184(constB191)))),
% 79.27/51.16 inference(rewrite,[status(thm)],[])).
% 79.27/51.16 tff(24352,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB191) | (~v184(constB191)))),
% 79.27/51.16 inference(quant_inst,[status(thm)],[])).
% 79.27/51.16 tff(24353,plain,
% 79.27/51.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB191) | (~v184(constB191))),
% 79.27/51.16 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 79.27/51.16 tff(24354,plain,
% 79.27/51.16 (v183(constB191)),
% 79.27/51.16 inference(unit_resolution,[status(thm)],[24353, 11048, 24350])).
% 79.27/51.16 tff(24355,plain,
% 79.27/51.16 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB191)) | (~v259(constB191)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB191)) | (~v259(constB191)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24356,plain,
% 79.27/51.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB191)) | (~v259(constB191)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24357,plain,
% 79.27/51.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB191)) | (~v259(constB191))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 79.27/51.17 tff(24358,plain,
% 79.27/51.17 (~v259(constB191)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24357, 12141, 24354])).
% 79.27/51.17 tff(24359,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB191) | v260(constB191) | (~v256(constB191)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB191) | v260(constB191) | (~v256(constB191)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24360,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB191) | v260(constB191) | (~v256(constB191)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24361,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB191) | v260(constB191) | (~v256(constB191))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 79.27/51.17 tff(24362,plain,
% 79.27/51.17 (v260(constB191) | (~v256(constB191))),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24361, 12155, 24358])).
% 79.27/51.17 tff(24363,plain,
% 79.27/51.17 (~v256(constB191)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24362, 24314])).
% 79.27/51.17 tff(24364,plain,
% 79.27/51.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB191, constB192)) | v256(constB191) | (~v258(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB191, constB192)) | v256(constB191) | (~v258(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24365,plain,
% 79.27/51.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB191, constB192)) | v256(constB191) | (~v258(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24366,plain,
% 79.27/51.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB191, constB192)) | v256(constB191) | (~v258(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 79.27/51.17 tff(24367,plain,
% 79.27/51.17 (v256(constB191) | (~v258(constB192))),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24366, 12170, 24337])).
% 79.27/51.17 tff(24368,plain,
% 79.27/51.17 (~v258(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24367, 24363])).
% 79.27/51.17 tff(24369,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB192) | (~v259(constB192)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB192) | (~v259(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24370,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB192) | (~v259(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24371,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB192) | (~v259(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 79.27/51.17 tff(24372,plain,
% 79.27/51.17 (~v259(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24371, 12182, 24368])).
% 79.27/51.17 tff(24373,plain,
% 79.27/51.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB192)) | (~v184(constB192)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB192)) | (~v184(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24374,plain,
% 79.27/51.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB192)) | (~v184(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24375,plain,
% 79.27/51.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB192)) | (~v184(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24374, 24373])).
% 79.27/51.17 tff(24376,plain,
% 79.27/51.17 (~v184(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24375, 11111, 24321])).
% 79.27/51.17 tff(24377,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB192) | (~v262(constB192)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB192) | (~v262(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24378,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB192) | (~v262(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24379,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB192) | (~v262(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24378, 24377])).
% 79.27/51.17 tff(24380,plain,
% 79.27/51.17 (~v262(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24379, 12193, 24376])).
% 79.27/51.17 tff(24381,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB192) | (~v261(constB192)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB192) | (~v261(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24382,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB192) | (~v261(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24383,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB192) | (~v261(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24382, 24381])).
% 79.27/51.17 tff(24384,plain,
% 79.27/51.17 (~v261(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24383, 12204, 24380])).
% 79.27/51.17 tff(24385,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB192) | (~v260(constB192)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB192) | (~v260(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24386,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB192) | (~v260(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24387,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB192) | (~v260(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24386, 24385])).
% 79.27/51.17 tff(24388,plain,
% 79.27/51.17 (~v260(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24387, 12215, 24384])).
% 79.27/51.17 tff(24389,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB192) | v260(constB192) | (~v256(constB192)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB192) | v260(constB192) | (~v256(constB192)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24390,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB192) | v260(constB192) | (~v256(constB192)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24391,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB192) | v260(constB192) | (~v256(constB192))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 79.27/51.17 tff(24392,plain,
% 79.27/51.17 (v259(constB192) | (~v256(constB192))),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24391, 12155, 24388])).
% 79.27/51.17 tff(24393,plain,
% 79.27/51.17 (~v256(constB192)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24392, 24372])).
% 79.27/51.17 tff(24394,plain,
% 79.27/51.17 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24395,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 79.27/51.17 tff(24396,plain,
% 79.27/51.17 (nextState(constB192, constB193)),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 79.27/51.17 tff(24397,plain,
% 79.27/51.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB192, constB193)) | v256(constB192) | (~v258(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB192, constB193)) | v256(constB192) | (~v258(constB193)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24398,plain,
% 79.27/51.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB192, constB193)) | v256(constB192) | (~v258(constB193)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24399,plain,
% 79.27/51.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB192, constB193)) | v256(constB192) | (~v258(constB193))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 79.27/51.17 tff(24400,plain,
% 79.27/51.17 (v256(constB192) | (~v258(constB193))),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24399, 12170, 24396])).
% 79.27/51.17 tff(24401,plain,
% 79.27/51.17 (~v258(constB193)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24400, 24393])).
% 79.27/51.17 tff(24402,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB193) | (~v271(constB193)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB193) | (~v271(constB193)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24403,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB193) | (~v271(constB193)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24404,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB193) | (~v271(constB193))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24403, 24402])).
% 79.27/51.17 tff(24405,plain,
% 79.27/51.17 (~v271(constB193)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24404, 12236, 24401])).
% 79.27/51.17 tff(24406,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB193)) | v271(constB193) | v270(constB193))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB193)) | v271(constB193) | v270(constB193))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24407,plain,
% 79.27/51.17 ((v271(constB193) | v270(constB193) | (~v267(constB193))) <=> ((~v267(constB193)) | v271(constB193) | v270(constB193))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24408,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB193) | v270(constB193) | (~v267(constB193)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB193)) | v271(constB193) | v270(constB193)))),
% 79.27/51.17 inference(monotonicity,[status(thm)],[24407])).
% 79.27/51.17 tff(24409,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB193) | v270(constB193) | (~v267(constB193)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB193)) | v271(constB193) | v270(constB193))),
% 79.27/51.17 inference(transitivity,[status(thm)],[24408, 24406])).
% 79.27/51.17 tff(24410,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB193) | v270(constB193) | (~v267(constB193)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24411,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB193)) | v271(constB193) | v270(constB193)),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 79.27/51.17 tff(24412,plain,
% 79.27/51.17 ((~v267(constB193)) | v270(constB193)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24411, 12261, 24405])).
% 79.27/51.17 tff(24413,plain,
% 79.27/51.17 (~v267(constB193)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24412, 20968])).
% 79.27/51.17 tff(24414,plain,
% 79.27/51.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB193, constB194)) | v267(constB193) | (~v269(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB193, constB194)) | v267(constB193) | (~v269(constB194)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24415,plain,
% 79.27/51.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB193, constB194)) | v267(constB193) | (~v269(constB194)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24416,plain,
% 79.27/51.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB193, constB194)) | v267(constB193) | (~v269(constB194))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 79.27/51.17 tff(24417,plain,
% 79.27/51.17 (v267(constB193) | (~v269(constB194))),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24416, 12279, 20947])).
% 79.27/51.17 tff(24418,plain,
% 79.27/51.17 (~v269(constB194)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24417, 24413])).
% 79.27/51.17 tff(24419,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB194) | (~v270(constB194)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB194) | (~v270(constB194)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24420,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB194) | (~v270(constB194)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24421,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB194) | (~v270(constB194))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 79.27/51.17 tff(24422,plain,
% 79.27/51.17 (~v270(constB194)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24421, 12291, 24418])).
% 79.27/51.17 tff(24423,plain,
% 79.27/51.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB194)) | (~v184(constB194)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB194)) | (~v184(constB194)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24424,plain,
% 79.27/51.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB194)) | (~v184(constB194)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24425,plain,
% 79.27/51.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB194)) | (~v184(constB194))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24424, 24423])).
% 79.27/51.17 tff(24426,plain,
% 79.27/51.17 (~v184(constB194)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24425, 11111, 20931])).
% 79.27/51.17 tff(24427,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB194) | (~v262(constB194)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB194) | (~v262(constB194)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24428,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB194) | (~v262(constB194)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24429,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB194) | (~v262(constB194))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24428, 24427])).
% 79.27/51.17 tff(24430,plain,
% 79.27/51.17 (~v262(constB194)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24429, 12193, 24426])).
% 79.27/51.17 tff(24431,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB194) | (~v261(constB194)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB194) | (~v261(constB194)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24432,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB194) | (~v261(constB194)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24433,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB194) | (~v261(constB194))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24432, 24431])).
% 79.27/51.17 tff(24434,plain,
% 79.27/51.17 (~v261(constB194)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24433, 12204, 24430])).
% 79.27/51.17 tff(24435,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB194) | (~v271(constB194)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB194) | (~v271(constB194)))),
% 79.27/51.17 inference(rewrite,[status(thm)],[])).
% 79.27/51.17 tff(24436,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB194) | (~v271(constB194)))),
% 79.27/51.17 inference(quant_inst,[status(thm)],[])).
% 79.27/51.17 tff(24437,plain,
% 79.27/51.17 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB194) | (~v271(constB194))),
% 79.27/51.17 inference(modus_ponens,[status(thm)],[24436, 24435])).
% 79.27/51.17 tff(24438,plain,
% 79.27/51.17 (~v271(constB194)),
% 79.27/51.17 inference(unit_resolution,[status(thm)],[24437, 12310, 24434])).
% 79.27/51.17 tff(24439,plain,
% 79.27/51.17 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB194)) | v271(constB194) | v270(constB194))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB194)) | v271(constB194) | v270(constB194))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24440,plain,
% 79.27/51.18 ((v271(constB194) | v270(constB194) | (~v267(constB194))) <=> ((~v267(constB194)) | v271(constB194) | v270(constB194))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24441,plain,
% 79.27/51.18 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB194) | v270(constB194) | (~v267(constB194)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB194)) | v271(constB194) | v270(constB194)))),
% 79.27/51.18 inference(monotonicity,[status(thm)],[24440])).
% 79.27/51.18 tff(24442,plain,
% 79.27/51.18 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB194) | v270(constB194) | (~v267(constB194)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB194)) | v271(constB194) | v270(constB194))),
% 79.27/51.18 inference(transitivity,[status(thm)],[24441, 24439])).
% 79.27/51.18 tff(24443,plain,
% 79.27/51.18 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB194) | v270(constB194) | (~v267(constB194)))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24444,plain,
% 79.27/51.18 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB194)) | v271(constB194) | v270(constB194)),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24443, 24442])).
% 79.27/51.18 tff(24445,plain,
% 79.27/51.18 ((~v267(constB194)) | v270(constB194)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24444, 12261, 24438])).
% 79.27/51.18 tff(24446,plain,
% 79.27/51.18 (~v267(constB194)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24445, 24422])).
% 79.27/51.18 tff(24447,plain,
% 79.27/51.18 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24448,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 79.27/51.18 tff(24449,plain,
% 79.27/51.18 (nextState(constB194, constB195)),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24448, 24447])).
% 79.27/51.18 tff(24450,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB194, constB195)) | v267(constB194) | (~v269(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB194, constB195)) | v267(constB194) | (~v269(constB195)))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24451,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB194, constB195)) | v267(constB194) | (~v269(constB195)))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24452,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB194, constB195)) | v267(constB194) | (~v269(constB195))),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24451, 24450])).
% 79.27/51.18 tff(24453,plain,
% 79.27/51.18 (v267(constB194) | (~v269(constB195))),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24452, 12279, 24449])).
% 79.27/51.18 tff(24454,plain,
% 79.27/51.18 (~v269(constB195)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24453, 24446])).
% 79.27/51.18 tff(24455,plain,
% 79.27/51.18 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB195) | (~v307(constB195)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB195) | (~v307(constB195)))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24456,plain,
% 79.27/51.18 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB195) | (~v307(constB195)))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24457,plain,
% 79.27/51.18 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB195) | (~v307(constB195))),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24456, 24455])).
% 79.27/51.18 tff(24458,plain,
% 79.27/51.18 (~v307(constB195)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24457, 20510, 24454])).
% 79.27/51.18 tff(24459,assumption,(~v90(constB185, bitIndex0)), introduced(assumption)).
% 79.27/51.18 tff(24460,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24461,plain,
% 79.27/51.18 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24462,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0)))),
% 79.27/51.18 inference(monotonicity,[status(thm)],[24461])).
% 79.27/51.18 tff(24463,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 79.27/51.18 inference(transitivity,[status(thm)],[24462, 24460])).
% 79.27/51.18 tff(24464,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24465,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0)),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24464, 24463])).
% 79.27/51.18 tff(24466,plain,
% 79.27/51.18 ((~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24465, 836, 23897])).
% 79.27/51.18 tff(24467,plain,
% 79.27/51.18 ((~v90(constB184, bitIndex0)) | v90(constB185, bitIndex0)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24466, 23909])).
% 79.27/51.18 tff(24468,plain,
% 79.27/51.18 (~v90(constB184, bitIndex0)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24467, 24459])).
% 79.27/51.18 tff(24469,assumption,(~v90(constB185, bitIndex2)), introduced(assumption)).
% 79.27/51.18 tff(24470,assumption,(~v121(constB185)), introduced(assumption)).
% 79.27/51.18 tff(24471,plain,
% 79.27/51.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24472,plain,
% 79.27/51.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24473,plain,
% 79.27/51.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24472, 24471])).
% 79.27/51.18 tff(24474,plain,
% 79.27/51.18 (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24473, 1172, 24470])).
% 79.27/51.18 tff(24475,plain,
% 79.27/51.18 (~v90(constB185, bitIndex1)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24474, 24469, 24459])).
% 79.27/51.18 tff(24476,plain,
% 79.27/51.18 (~v90(constB184, bitIndex1)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[23990, 24475])).
% 79.27/51.18 tff(24477,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24478,plain,
% 79.27/51.18 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24479,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)))),
% 79.27/51.18 inference(monotonicity,[status(thm)],[24478])).
% 79.27/51.18 tff(24480,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 79.27/51.18 inference(transitivity,[status(thm)],[24479, 24477])).
% 79.27/51.18 tff(24481,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24482,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24481, 24480])).
% 79.27/51.18 tff(24483,plain,
% 79.27/51.18 ((~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24482, 1575, 23897])).
% 79.27/51.18 tff(24484,plain,
% 79.27/51.18 ((~v90(constB184, bitIndex2)) | v90(constB185, bitIndex2)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24483, 23909])).
% 79.27/51.18 tff(24485,plain,
% 79.27/51.18 (~v90(constB184, bitIndex2)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24484, 24469])).
% 79.27/51.18 tff(24486,assumption,(~v90(constB184, bitIndex2)), introduced(assumption)).
% 79.27/51.18 tff(24487,assumption,(~v100(constB184)), introduced(assumption)).
% 79.27/51.18 tff(24488,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24489,plain,
% 79.27/51.18 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2)) <=> ((~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24490,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2)))),
% 79.27/51.18 inference(monotonicity,[status(thm)],[24489])).
% 79.27/51.18 tff(24491,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))),
% 79.27/51.18 inference(transitivity,[status(thm)],[24490, 24488])).
% 79.27/51.18 tff(24492,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2))),
% 79.27/51.18 inference(quant_inst,[status(thm)],[])).
% 79.27/51.18 tff(24493,plain,
% 79.27/51.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2)),
% 79.27/51.18 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 79.27/51.18 tff(24494,plain,
% 79.27/51.18 ((~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24493, 1575, 23832])).
% 79.27/51.18 tff(24495,plain,
% 79.27/51.18 (~v90(constB183, bitIndex2)),
% 79.27/51.18 inference(unit_resolution,[status(thm)],[24494, 24487, 24486])).
% 79.27/51.18 tff(24496,assumption,(~v90(constB184, bitIndex1)), introduced(assumption)).
% 79.27/51.18 tff(24497,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24498,plain,
% 79.27/51.18 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1)) <=> ((~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))),
% 79.27/51.18 inference(rewrite,[status(thm)],[])).
% 79.27/51.18 tff(24499,plain,
% 79.27/51.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1)))),
% 79.27/51.19 inference(monotonicity,[status(thm)],[24498])).
% 79.27/51.19 tff(24500,plain,
% 79.27/51.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))),
% 79.27/51.19 inference(transitivity,[status(thm)],[24499, 24497])).
% 79.27/51.19 tff(24501,plain,
% 79.27/51.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1))),
% 79.27/51.19 inference(quant_inst,[status(thm)],[])).
% 79.27/51.19 tff(24502,plain,
% 79.27/51.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1)),
% 79.27/51.19 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 79.27/51.19 tff(24503,plain,
% 79.27/51.19 ((~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24502, 1079, 23832])).
% 79.27/51.19 tff(24504,plain,
% 79.27/51.19 (~v90(constB183, bitIndex1)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24503, 24487, 24496])).
% 79.27/51.19 tff(24505,assumption,(~v90(constB184, bitIndex0)), introduced(assumption)).
% 79.27/51.19 tff(24506,plain,
% 79.27/51.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24507,plain,
% 79.27/51.19 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0)) <=> ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24508,plain,
% 79.27/51.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0)))),
% 79.27/51.19 inference(monotonicity,[status(thm)],[24507])).
% 79.27/51.19 tff(24509,plain,
% 79.27/51.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 79.27/51.19 inference(transitivity,[status(thm)],[24508, 24506])).
% 79.27/51.19 tff(24510,plain,
% 79.27/51.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))),
% 79.27/51.19 inference(quant_inst,[status(thm)],[])).
% 79.27/51.19 tff(24511,plain,
% 79.27/51.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0)),
% 79.27/51.19 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 79.27/51.19 tff(24512,plain,
% 79.27/51.19 ((~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24511, 836, 23832])).
% 79.27/51.19 tff(24513,plain,
% 79.27/51.19 (~v90(constB183, bitIndex0)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24512, 24487, 24505])).
% 79.27/51.19 tff(24514,plain,
% 79.27/51.19 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24515,plain,
% 79.27/51.19 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 79.27/51.19 inference(quant_inst,[status(thm)],[])).
% 79.27/51.19 tff(24516,plain,
% 79.27/51.19 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)),
% 79.27/51.19 inference(modus_ponens,[status(thm)],[24515, 24514])).
% 79.27/51.19 tff(24517,plain,
% 79.27/51.19 (v119(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24516, 402, 24513, 24504, 24495])).
% 79.27/51.19 tff(24518,plain,
% 79.27/51.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB183) | (~v119(constB183)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB183) | (~v119(constB183)))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24519,plain,
% 79.27/51.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB183) | (~v119(constB183)))),
% 79.27/51.19 inference(quant_inst,[status(thm)],[])).
% 79.27/51.19 tff(24520,plain,
% 79.27/51.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB183) | (~v119(constB183))),
% 79.27/51.19 inference(modus_ponens,[status(thm)],[24519, 24518])).
% 79.27/51.19 tff(24521,plain,
% 79.27/51.19 (v118(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24520, 486, 24517])).
% 79.27/51.19 tff(24522,plain,
% 79.27/51.19 (v117(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23796, 497, 24521])).
% 79.27/51.19 tff(24523,plain,
% 79.27/51.19 (v116(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23800, 508, 24522])).
% 79.27/51.19 tff(24524,plain,
% 79.27/51.19 (~v110(constB184)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23865, 24487])).
% 79.27/51.19 tff(24525,plain,
% 79.27/51.19 (~v108(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23839, 24524])).
% 79.27/51.19 tff(24526,plain,
% 79.27/51.19 (~v112(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23828, 464, 24525])).
% 79.27/51.19 tff(24527,plain,
% 79.27/51.19 (~v113(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23824, 24526])).
% 79.27/51.19 tff(24528,plain,
% 79.27/51.19 (~v114(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23812, 541, 24527])).
% 79.27/51.19 tff(24529,plain,
% 79.27/51.19 (~v115(constB183)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23808, 530, 24528])).
% 79.27/51.19 tff(24530,plain,
% 79.27/51.19 ($false),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[23804, 519, 24529, 24523])).
% 79.27/51.19 tff(24531,plain,(v100(constB184) | v90(constB184, bitIndex2) | v90(constB184, bitIndex1) | v90(constB184, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.19 tff(24532,plain,
% 79.27/51.19 (v100(constB184)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24531, 24485, 24476, 24468])).
% 79.27/51.19 tff(24533,plain,
% 79.27/51.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24534,plain,
% 79.27/51.19 ((v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24535,plain,
% 79.27/51.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))))),
% 79.27/51.19 inference(monotonicity,[status(thm)],[24534])).
% 79.27/51.19 tff(24536,plain,
% 79.27/51.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 79.27/51.19 inference(transitivity,[status(thm)],[24535, 24533])).
% 79.27/51.19 tff(24537,plain,
% 79.27/51.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))),
% 79.27/51.19 inference(quant_inst,[status(thm)],[])).
% 79.27/51.19 tff(24538,plain,
% 79.27/51.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 79.27/51.19 inference(modus_ponens,[status(thm)],[24537, 24536])).
% 79.27/51.19 tff(24539,plain,
% 79.27/51.19 ((~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24538, 1539, 24485])).
% 79.27/51.19 tff(24540,plain,
% 79.27/51.19 (~v129(constB184, bitIndex2)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24539, 24532])).
% 79.27/51.19 tff(24541,plain,
% 79.27/51.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24542,plain,
% 79.27/51.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 79.27/51.19 inference(quant_inst,[status(thm)],[])).
% 79.27/51.19 tff(24543,plain,
% 79.27/51.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 79.27/51.19 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 79.27/51.19 tff(24544,plain,
% 79.27/51.19 ((~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24543, 1449, 23832])).
% 79.27/51.19 tff(24545,plain,
% 79.27/51.19 (~v127(constB183, bitIndex2)),
% 79.27/51.19 inference(unit_resolution,[status(thm)],[24544, 24540])).
% 79.27/51.19 tff(24546,plain,
% 79.27/51.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 79.27/51.19 inference(rewrite,[status(thm)],[])).
% 79.27/51.19 tff(24547,plain,
% 79.27/51.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 79.27/51.20 inference(quant_inst,[status(thm)],[])).
% 79.27/51.20 tff(24548,plain,
% 79.27/51.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 79.27/51.20 inference(modus_ponens,[status(thm)],[24547, 24546])).
% 79.27/51.20 tff(24549,plain,
% 79.27/51.20 ((~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 79.27/51.20 inference(unit_resolution,[status(thm)],[24548, 1431, 23817])).
% 79.27/51.20 tff(24550,plain,
% 79.27/51.20 (~v130(constB183, bitIndex2)),
% 79.27/51.20 inference(unit_resolution,[status(thm)],[24549, 24545])).
% 79.27/51.20 tff(24551,plain,
% 79.27/51.20 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB183)) | v130(constB183, bitIndex2))),
% 79.27/51.20 inference(rewrite,[status(thm)],[])).
% 79.27/51.20 tff(24552,plain,
% 79.27/51.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB183)) | v130(constB183, bitIndex2))),
% 79.27/51.20 inference(quant_inst,[status(thm)],[])).
% 79.27/51.20 tff(24553,plain,
% 79.27/51.20 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB183)) | v130(constB183, bitIndex2)),
% 79.27/51.20 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 79.27/51.20 tff(24554,plain,
% 79.27/51.20 (~v124(constB183)),
% 79.27/51.20 inference(unit_resolution,[status(thm)],[24553, 2050, 24550])).
% 79.27/51.20 tff(24555,plain,
% 79.27/51.20 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2))),
% 79.27/51.20 inference(rewrite,[status(thm)],[])).
% 79.27/51.20 tff(24556,plain,
% 79.27/51.20 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))),
% 79.27/51.20 inference(quant_inst,[status(thm)],[])).
% 79.27/51.20 tff(24557,plain,
% 79.27/51.20 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2)),
% 79.27/51.20 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 79.27/51.20 tff(24558,plain,
% 79.27/51.20 (~v122(constB183)),
% 79.27/51.20 inference(unit_resolution,[status(thm)],[24557, 1417, 24550])).
% 79.27/51.20 tff(24559,plain,
% 79.27/51.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 79.27/51.20 inference(rewrite,[status(thm)],[])).
% 79.27/51.20 tff(24560,plain,
% 79.27/51.20 ((v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 79.27/51.20 inference(rewrite,[status(thm)],[])).
% 79.27/51.20 tff(24561,plain,
% 79.27/51.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184))))),
% 79.27/51.20 inference(monotonicity,[status(thm)],[24560])).
% 79.27/51.20 tff(24562,plain,
% 79.27/51.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 79.27/51.20 inference(transitivity,[status(thm)],[24561, 24559])).
% 79.27/51.20 tff(24563,plain,
% 79.27/51.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))),
% 79.27/51.20 inference(quant_inst,[status(thm)],[])).
% 79.27/51.20 tff(24564,plain,
% 79.27/51.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24563, 24562])).
% 79.37/51.20 tff(24565,plain,
% 79.37/51.20 ((~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24564, 818, 24468])).
% 79.37/51.20 tff(24566,plain,
% 79.37/51.20 (~v129(constB184, bitIndex0)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24565, 24532])).
% 79.37/51.20 tff(24567,plain,
% 79.37/51.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24568,plain,
% 79.37/51.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24569,plain,
% 79.37/51.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24568, 24567])).
% 79.37/51.20 tff(24570,plain,
% 79.37/51.20 ((~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24569, 803, 23832])).
% 79.37/51.20 tff(24571,plain,
% 79.37/51.20 (~v127(constB183, bitIndex0)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24570, 24566])).
% 79.37/51.20 tff(24572,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24573,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24574,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 79.37/51.20 tff(24575,plain,
% 79.37/51.20 ((~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24574, 788, 23817])).
% 79.37/51.20 tff(24576,plain,
% 79.37/51.20 (~v130(constB183, bitIndex0)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24575, 24571])).
% 79.37/51.20 tff(24577,plain,
% 79.37/51.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB183)) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24578,plain,
% 79.37/51.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB183)) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24579,plain,
% 79.37/51.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB183)) | v130(constB183, bitIndex0)),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 79.37/51.20 tff(24580,plain,
% 79.37/51.20 (~v121(constB183)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24579, 1362, 24576])).
% 79.37/51.20 tff(24581,plain,
% 79.37/51.20 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB183)) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24582,plain,
% 79.37/51.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB183)) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24583,plain,
% 79.37/51.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB183)) | v130(constB183, bitIndex0)),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24582, 24581])).
% 79.37/51.20 tff(24584,plain,
% 79.37/51.20 (~v123(constB183)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24583, 1836, 24576])).
% 79.37/51.20 tff(24585,plain,
% 79.37/51.20 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB183)) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24586,plain,
% 79.37/51.20 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB183)) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24587,plain,
% 79.37/51.20 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB183)) | v130(constB183, bitIndex0)),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24586, 24585])).
% 79.37/51.20 tff(24588,plain,
% 79.37/51.20 (~v119(constB183)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24587, 774, 24576])).
% 79.37/51.20 tff(24589,plain,
% 79.37/51.20 ((~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[23980, 1061, 24476])).
% 79.37/51.20 tff(24590,plain,
% 79.37/51.20 (~v129(constB184, bitIndex1)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24589, 24532])).
% 79.37/51.20 tff(24591,plain,
% 79.37/51.20 (~v127(constB183, bitIndex1)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[23973, 24590])).
% 79.37/51.20 tff(24592,plain,
% 79.37/51.20 (~v130(constB183, bitIndex1)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[23968, 24591])).
% 79.37/51.20 tff(24593,plain,
% 79.37/51.20 (~v120(constB183)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[23963, 1017, 24592])).
% 79.37/51.20 tff(24594,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB183, bitIndex0) | v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB183, bitIndex0) | v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24595,plain,
% 79.37/51.20 ((v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0)) <=> (v130(constB183, bitIndex0) | v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24596,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB183, bitIndex0) | v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183)))),
% 79.37/51.20 inference(monotonicity,[status(thm)],[24595])).
% 79.37/51.20 tff(24597,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB183, bitIndex0) | v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183))),
% 79.37/51.20 inference(transitivity,[status(thm)],[24596, 24594])).
% 79.37/51.20 tff(24598,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24599,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB183, bitIndex0) | v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183)),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24598, 24597])).
% 79.37/51.20 tff(24600,plain,
% 79.37/51.20 (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24599, 2402, 24576])).
% 79.37/51.20 tff(24601,plain,
% 79.37/51.20 ($false),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24600, 24593, 24588, 24584, 24580, 24558, 24554])).
% 79.37/51.20 tff(24602,plain,(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | v121(constB185)), inference(lemma,lemma(discharge,[]))).
% 79.37/51.20 tff(24603,plain,
% 79.37/51.20 (v121(constB185)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24602, 23918, 23956])).
% 79.37/51.20 tff(24604,assumption,(v121(constB185)), introduced(assumption)).
% 79.37/51.20 tff(24605,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185)))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24606,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24607,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185))),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24606, 24605])).
% 79.37/51.20 tff(24608,plain,
% 79.37/51.20 (v117(constB185)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24607, 1183, 24604])).
% 79.37/51.20 tff(24609,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185)))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24610,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24611,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185))),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24610, 24609])).
% 79.37/51.20 tff(24612,plain,
% 79.37/51.20 (v116(constB185)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24611, 508, 24608])).
% 79.37/51.20 tff(24613,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185)))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24614,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24615,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185))),
% 79.37/51.20 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 79.37/51.20 tff(24616,plain,
% 79.37/51.20 (v115(constB185)),
% 79.37/51.20 inference(unit_resolution,[status(thm)],[24615, 519, 24612])).
% 79.37/51.20 tff(24617,plain,
% 79.37/51.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185)))),
% 79.37/51.20 inference(rewrite,[status(thm)],[])).
% 79.37/51.20 tff(24618,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))),
% 79.37/51.20 inference(quant_inst,[status(thm)],[])).
% 79.37/51.20 tff(24619,plain,
% 79.37/51.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 79.37/51.21 tff(24620,plain,
% 79.37/51.21 (v114(constB185)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24619, 530, 24616])).
% 79.37/51.21 tff(24621,plain,
% 79.37/51.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24622,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24623,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 79.37/51.21 tff(24624,plain,
% 79.37/51.21 (v113(constB185)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24623, 541, 24620])).
% 79.37/51.21 tff(24625,assumption,(v26(constB185)), introduced(assumption)).
% 79.37/51.21 tff(24626,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24627,plain,
% 79.37/51.21 ($false),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24626, 14, 24625])).
% 79.37/51.21 tff(24628,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 79.37/51.21 tff(24629,plain,
% 79.37/51.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24630,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24631,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24630, 24629])).
% 79.37/51.21 tff(24632,plain,
% 79.37/51.21 ((~v113(constB185)) | v112(constB185)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24631, 555, 24628])).
% 79.37/51.21 tff(24633,plain,
% 79.37/51.21 (v112(constB185)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24632, 24624])).
% 79.37/51.21 tff(24634,plain,
% 79.37/51.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24635,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24636,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 79.37/51.21 tff(24637,plain,
% 79.37/51.21 (v108(constB185)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24636, 464, 24633])).
% 79.37/51.21 tff(24638,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24639,plain,
% 79.37/51.21 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24640,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 79.37/51.21 inference(monotonicity,[status(thm)],[24639])).
% 79.37/51.21 tff(24641,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 79.37/51.21 inference(transitivity,[status(thm)],[24640, 24638])).
% 79.37/51.21 tff(24642,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24643,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24642, 24641])).
% 79.37/51.21 tff(24644,plain,
% 79.37/51.21 (v110(constB186) | (~v108(constB185))),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24643, 571, 24068])).
% 79.37/51.21 tff(24645,plain,
% 79.37/51.21 (v110(constB186)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24644, 24637])).
% 79.37/51.21 tff(24646,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24647,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24648,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24647, 24646])).
% 79.37/51.21 tff(24649,plain,
% 79.37/51.21 (~v104(constB186)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24648, 589, 24068, 23894])).
% 79.37/51.21 tff(24650,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24651,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24652,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24651, 24650])).
% 79.37/51.21 tff(24653,plain,
% 79.37/51.21 (v102(constB186) | v104(constB186)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24652, 603, 24068])).
% 79.37/51.21 tff(24654,plain,
% 79.37/51.21 (v102(constB186)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24653, 24649])).
% 79.37/51.21 tff(24655,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24656,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24657,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 79.37/51.21 tff(24658,plain,
% 79.37/51.21 (v101(constB186) | (~v102(constB186))),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24657, 621, 24068, 24052])).
% 79.37/51.21 tff(24659,plain,
% 79.37/51.21 (v101(constB186)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24658, 24654])).
% 79.37/51.21 tff(24660,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24661,plain,
% 79.37/51.21 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24662,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 79.37/51.21 inference(monotonicity,[status(thm)],[24661])).
% 79.37/51.21 tff(24663,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 79.37/51.21 inference(transitivity,[status(thm)],[24662, 24660])).
% 79.37/51.21 tff(24664,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24665,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24664, 24663])).
% 79.37/51.21 tff(24666,plain,
% 79.37/51.21 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24665, 636, 24068])).
% 79.37/51.21 tff(24667,plain,
% 79.37/51.21 (v100(constB186) | (~v110(constB186))),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24666, 24659])).
% 79.37/51.21 tff(24668,plain,
% 79.37/51.21 (v100(constB186)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24667, 24645])).
% 79.37/51.21 tff(24669,plain,
% 79.37/51.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24670,plain,
% 79.37/51.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24671,plain,
% 79.37/51.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24670, 24669])).
% 79.37/51.21 tff(24672,plain,
% 79.37/51.21 (~v130(constB185, bitIndex2)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24671, 1259, 24604])).
% 79.37/51.21 tff(24673,plain,
% 79.37/51.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24674,plain,
% 79.37/51.21 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24675,plain,
% 79.37/51.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 79.37/51.21 inference(monotonicity,[status(thm)],[24674])).
% 79.37/51.21 tff(24676,plain,
% 79.37/51.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 79.37/51.21 inference(transitivity,[status(thm)],[24675, 24673])).
% 79.37/51.21 tff(24677,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24678,plain,
% 79.37/51.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24677, 24676])).
% 79.37/51.21 tff(24679,plain,
% 79.37/51.21 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24678, 430, 24628])).
% 79.37/51.21 tff(24680,plain,
% 79.37/51.21 (~v127(constB185, bitIndex2)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24679, 24672])).
% 79.37/51.21 tff(24681,plain,
% 79.37/51.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 79.37/51.21 inference(rewrite,[status(thm)],[])).
% 79.37/51.21 tff(24682,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 79.37/51.21 inference(quant_inst,[status(thm)],[])).
% 79.37/51.21 tff(24683,plain,
% 79.37/51.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 79.37/51.21 inference(modus_ponens,[status(thm)],[24682, 24681])).
% 79.37/51.21 tff(24684,plain,
% 79.37/51.21 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24683, 451, 24068])).
% 79.37/51.21 tff(24685,plain,
% 79.37/51.21 (~v129(constB186, bitIndex2)),
% 79.37/51.21 inference(unit_resolution,[status(thm)],[24684, 24680])).
% 79.37/51.21 tff(24686,plain,
% 79.37/51.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24687,plain,
% 79.37/51.22 (((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24688,plain,
% 79.37/51.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))))),
% 79.37/51.22 inference(monotonicity,[status(thm)],[24687])).
% 79.37/51.22 tff(24689,plain,
% 79.37/51.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 79.37/51.22 inference(transitivity,[status(thm)],[24688, 24686])).
% 79.37/51.22 tff(24690,plain,
% 79.37/51.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24691,plain,
% 79.37/51.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 79.37/51.22 tff(24692,plain,
% 79.37/51.22 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24691, 655, 24685])).
% 79.37/51.22 tff(24693,plain,
% 79.37/51.22 (~v90(constB186, bitIndex2)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24692, 24668])).
% 79.37/51.22 tff(24694,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24695,plain,
% 79.37/51.22 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24696,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 79.37/51.22 inference(monotonicity,[status(thm)],[24695])).
% 79.37/51.22 tff(24697,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 79.37/51.22 inference(transitivity,[status(thm)],[24696, 24694])).
% 79.37/51.22 tff(24698,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24699,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24698, 24697])).
% 79.37/51.22 tff(24700,plain,
% 79.37/51.22 (~v101(constB187)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24699, 307, 24123, 24163])).
% 79.37/51.22 tff(24701,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24702,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24703,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 79.37/51.22 tff(24704,plain,
% 79.37/51.22 (v101(constB187) | (~v100(constB187))),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24703, 324, 24123])).
% 79.37/51.22 tff(24705,plain,
% 79.37/51.22 (~v100(constB187)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24704, 24700])).
% 79.37/51.22 tff(24706,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24707,plain,
% 79.37/51.22 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24708,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 79.37/51.22 inference(monotonicity,[status(thm)],[24707])).
% 79.37/51.22 tff(24709,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 79.37/51.22 inference(transitivity,[status(thm)],[24708, 24706])).
% 79.37/51.22 tff(24710,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24711,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24710, 24709])).
% 79.37/51.22 tff(24712,plain,
% 79.37/51.22 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24711, 339, 24123])).
% 79.37/51.22 tff(24713,plain,
% 79.37/51.22 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24712, 24705])).
% 79.37/51.22 tff(24714,plain,
% 79.37/51.22 (~v90(constB187, bitIndex2)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24713, 24693])).
% 79.37/51.22 tff(24715,plain,
% 79.37/51.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24716,plain,
% 79.37/51.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24717,plain,
% 79.37/51.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0)),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 79.37/51.22 tff(24718,plain,
% 79.37/51.22 (v130(constB185, bitIndex0)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24717, 1362, 24604])).
% 79.37/51.22 tff(24719,plain,
% 79.37/51.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24720,plain,
% 79.37/51.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24721,plain,
% 79.37/51.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 79.37/51.22 tff(24722,plain,
% 79.37/51.22 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24721, 788, 24628])).
% 79.37/51.22 tff(24723,plain,
% 79.37/51.22 (v127(constB185, bitIndex0)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24722, 24718])).
% 79.37/51.22 tff(24724,plain,
% 79.37/51.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24725,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 79.37/51.22 inference(quant_inst,[status(thm)],[])).
% 79.37/51.22 tff(24726,plain,
% 79.37/51.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 79.37/51.22 inference(modus_ponens,[status(thm)],[24725, 24724])).
% 79.37/51.22 tff(24727,plain,
% 79.37/51.22 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24726, 803, 24068])).
% 79.37/51.22 tff(24728,plain,
% 79.37/51.22 (v129(constB186, bitIndex0)),
% 79.37/51.22 inference(unit_resolution,[status(thm)],[24727, 24723])).
% 79.37/51.22 tff(24729,plain,
% 79.37/51.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 79.37/51.22 inference(rewrite,[status(thm)],[])).
% 79.37/51.22 tff(24730,plain,
% 79.37/51.22 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24731,plain,
% 79.37/51.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 79.37/51.23 inference(monotonicity,[status(thm)],[24730])).
% 79.37/51.23 tff(24732,plain,
% 79.37/51.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 79.37/51.23 inference(transitivity,[status(thm)],[24731, 24729])).
% 79.37/51.23 tff(24733,plain,
% 79.37/51.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 79.37/51.23 inference(quant_inst,[status(thm)],[])).
% 79.37/51.23 tff(24734,plain,
% 79.37/51.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 79.37/51.23 inference(modus_ponens,[status(thm)],[24733, 24732])).
% 79.37/51.23 tff(24735,plain,
% 79.37/51.23 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24734, 818, 24728])).
% 79.37/51.23 tff(24736,plain,
% 79.37/51.23 (v90(constB186, bitIndex0)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24735, 24668])).
% 79.37/51.23 tff(24737,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24738,plain,
% 79.37/51.23 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24739,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 79.37/51.23 inference(monotonicity,[status(thm)],[24738])).
% 79.37/51.23 tff(24740,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 79.37/51.23 inference(transitivity,[status(thm)],[24739, 24737])).
% 79.37/51.23 tff(24741,plain,
% 79.37/51.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 79.37/51.23 inference(quant_inst,[status(thm)],[])).
% 79.37/51.23 tff(24742,plain,
% 79.37/51.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 79.37/51.23 inference(modus_ponens,[status(thm)],[24741, 24740])).
% 79.37/51.23 tff(24743,plain,
% 79.37/51.23 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24742, 836, 24123])).
% 79.37/51.23 tff(24744,plain,
% 79.37/51.23 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24743, 24705])).
% 79.37/51.23 tff(24745,plain,
% 79.37/51.23 (v90(constB187, bitIndex0)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24744, 24736])).
% 79.37/51.23 tff(24746,plain,
% 79.37/51.23 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24747,plain,
% 79.37/51.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))),
% 79.37/51.23 inference(quant_inst,[status(thm)],[])).
% 79.37/51.23 tff(24748,plain,
% 79.37/51.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1)),
% 79.37/51.23 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 79.37/51.23 tff(24749,plain,
% 79.37/51.23 (v130(constB185, bitIndex1)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24748, 1321, 24604])).
% 79.37/51.23 tff(24750,plain,
% 79.37/51.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24751,plain,
% 79.37/51.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 79.37/51.23 inference(quant_inst,[status(thm)],[])).
% 79.37/51.23 tff(24752,plain,
% 79.37/51.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 79.37/51.23 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 79.37/51.23 tff(24753,plain,
% 79.37/51.23 ((~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24752, 1031, 24628])).
% 79.37/51.23 tff(24754,plain,
% 79.37/51.23 (v127(constB185, bitIndex1)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24753, 24749])).
% 79.37/51.23 tff(24755,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24756,plain,
% 79.37/51.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 79.37/51.23 inference(quant_inst,[status(thm)],[])).
% 79.37/51.23 tff(24757,plain,
% 79.37/51.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 79.37/51.23 inference(modus_ponens,[status(thm)],[24756, 24755])).
% 79.37/51.23 tff(24758,plain,
% 79.37/51.23 ((~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24757, 1046, 24068])).
% 79.37/51.23 tff(24759,plain,
% 79.37/51.23 (v129(constB186, bitIndex1)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24758, 24754])).
% 79.37/51.23 tff(24760,plain,
% 79.37/51.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24761,plain,
% 79.37/51.23 ((v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24762,plain,
% 79.37/51.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))))),
% 79.37/51.23 inference(monotonicity,[status(thm)],[24761])).
% 79.37/51.23 tff(24763,plain,
% 79.37/51.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 79.37/51.23 inference(transitivity,[status(thm)],[24762, 24760])).
% 79.37/51.23 tff(24764,plain,
% 79.37/51.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))),
% 79.37/51.23 inference(quant_inst,[status(thm)],[])).
% 79.37/51.23 tff(24765,plain,
% 79.37/51.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 79.37/51.23 inference(modus_ponens,[status(thm)],[24764, 24763])).
% 79.37/51.23 tff(24766,plain,
% 79.37/51.23 (v90(constB186, bitIndex1) | (~v100(constB186))),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24765, 1061, 24759])).
% 79.37/51.23 tff(24767,plain,
% 79.37/51.23 (v90(constB186, bitIndex1)),
% 79.37/51.23 inference(unit_resolution,[status(thm)],[24766, 24668])).
% 79.37/51.23 tff(24768,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24769,plain,
% 79.37/51.23 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 79.37/51.23 inference(rewrite,[status(thm)],[])).
% 79.37/51.23 tff(24770,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)))),
% 79.37/51.23 inference(monotonicity,[status(thm)],[24769])).
% 79.37/51.23 tff(24771,plain,
% 79.37/51.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 79.37/51.24 inference(transitivity,[status(thm)],[24770, 24768])).
% 79.37/51.24 tff(24772,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24773,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24772, 24771])).
% 79.37/51.24 tff(24774,plain,
% 79.37/51.24 ((~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24773, 1079, 24123])).
% 79.37/51.24 tff(24775,plain,
% 79.37/51.24 ((~v90(constB186, bitIndex1)) | v90(constB187, bitIndex1)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24774, 24705])).
% 79.37/51.24 tff(24776,plain,
% 79.37/51.24 (v90(constB187, bitIndex1)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24775, 24767])).
% 79.37/51.24 tff(24777,assumption,(~v122(constB187)), introduced(assumption)).
% 79.37/51.24 tff(24778,plain,
% 79.37/51.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24779,plain,
% 79.37/51.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24780,plain,
% 79.37/51.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24779, 24778])).
% 79.37/51.24 tff(24781,plain,
% 79.37/51.24 ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24780, 1403, 24777])).
% 79.37/51.24 tff(24782,plain,
% 79.37/51.24 ($false),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24781, 24776, 24745, 24714])).
% 79.37/51.24 tff(24783,plain,((~v121(constB185)) | v122(constB187)), inference(lemma,lemma(discharge,[]))).
% 79.37/51.24 tff(24784,plain,
% 79.37/51.24 (v122(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24783, 24603])).
% 79.37/51.24 tff(24785,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24786,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24787,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 79.37/51.24 tff(24788,plain,
% 79.37/51.24 (v116(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24787, 1470, 24784])).
% 79.37/51.24 tff(24789,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24790,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24791,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24790, 24789])).
% 79.37/51.24 tff(24792,plain,
% 79.37/51.24 (v115(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24791, 519, 24788])).
% 79.37/51.24 tff(24793,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24794,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24795,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24794, 24793])).
% 79.37/51.24 tff(24796,plain,
% 79.37/51.24 (v114(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24795, 530, 24792])).
% 79.37/51.24 tff(24797,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24798,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24799,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24798, 24797])).
% 79.37/51.24 tff(24800,plain,
% 79.37/51.24 (v113(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24799, 541, 24796])).
% 79.37/51.24 tff(24801,assumption,(v26(constB187)), introduced(assumption)).
% 79.37/51.24 tff(24802,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24803,plain,
% 79.37/51.24 ($false),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24802, 14, 24801])).
% 79.37/51.24 tff(24804,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 79.37/51.24 tff(24805,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24806,plain,
% 79.37/51.24 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24807,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 79.37/51.24 inference(monotonicity,[status(thm)],[24806])).
% 79.37/51.24 tff(24808,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 79.37/51.24 inference(transitivity,[status(thm)],[24807, 24805])).
% 79.37/51.24 tff(24809,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24810,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 79.37/51.24 tff(24811,plain,
% 79.37/51.24 (v112(constB187) | (~v113(constB187))),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24810, 555, 24804])).
% 79.37/51.24 tff(24812,plain,
% 79.37/51.24 (v112(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24811, 24800])).
% 79.37/51.24 tff(24813,plain,
% 79.37/51.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24814,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24815,plain,
% 79.37/51.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24814, 24813])).
% 79.37/51.24 tff(24816,plain,
% 79.37/51.24 (v108(constB187)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24815, 464, 24812])).
% 79.37/51.24 tff(24817,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24818,plain,
% 79.37/51.24 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24819,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 79.37/51.24 inference(monotonicity,[status(thm)],[24818])).
% 79.37/51.24 tff(24820,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 79.37/51.24 inference(transitivity,[status(thm)],[24819, 24817])).
% 79.37/51.24 tff(24821,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24822,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 79.37/51.24 tff(24823,plain,
% 79.37/51.24 (v110(constB188) | (~v108(constB187))),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24822, 571, 24155])).
% 79.37/51.24 tff(24824,plain,
% 79.37/51.24 (v110(constB188)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24823, 24816])).
% 79.37/51.24 tff(24825,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24826,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24827,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24826, 24825])).
% 79.37/51.24 tff(24828,plain,
% 79.37/51.24 (~v104(constB188)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24827, 589, 24155, 24163])).
% 79.37/51.24 tff(24829,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24830,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24831,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24830, 24829])).
% 79.37/51.24 tff(24832,plain,
% 79.37/51.24 (v102(constB188) | v104(constB188)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24831, 603, 24155])).
% 79.37/51.24 tff(24833,plain,
% 79.37/51.24 (v102(constB188)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24832, 24828])).
% 79.37/51.24 tff(24834,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24835,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 79.37/51.24 inference(quant_inst,[status(thm)],[])).
% 79.37/51.24 tff(24836,plain,
% 79.37/51.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 79.37/51.24 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 79.37/51.24 tff(24837,plain,
% 79.37/51.24 (v101(constB188) | (~v102(constB188))),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24836, 621, 24155, 24139])).
% 79.37/51.24 tff(24838,plain,
% 79.37/51.24 (v101(constB188)),
% 79.37/51.24 inference(unit_resolution,[status(thm)],[24837, 24833])).
% 79.37/51.24 tff(24839,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24840,plain,
% 79.37/51.24 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 79.37/51.24 inference(rewrite,[status(thm)],[])).
% 79.37/51.24 tff(24841,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 79.37/51.24 inference(monotonicity,[status(thm)],[24840])).
% 79.37/51.24 tff(24842,plain,
% 79.37/51.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 79.37/51.25 inference(transitivity,[status(thm)],[24841, 24839])).
% 79.37/51.25 tff(24843,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24844,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24843, 24842])).
% 79.37/51.25 tff(24845,plain,
% 79.37/51.25 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24844, 636, 24155])).
% 79.37/51.25 tff(24846,plain,
% 79.37/51.25 (v100(constB188) | (~v110(constB188))),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24845, 24838])).
% 79.37/51.25 tff(24847,plain,
% 79.37/51.25 (v100(constB188)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24846, 24824])).
% 79.37/51.25 tff(24848,plain,
% 79.37/51.25 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24849,plain,
% 79.37/51.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24850,plain,
% 79.37/51.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2)),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 79.37/51.25 tff(24851,plain,
% 79.37/51.25 (v130(constB187, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24850, 1417, 24784])).
% 79.37/51.25 tff(24852,plain,
% 79.37/51.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24853,plain,
% 79.37/51.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24854,plain,
% 79.37/51.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 79.37/51.25 tff(24855,plain,
% 79.37/51.25 ((~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24854, 1431, 24804])).
% 79.37/51.25 tff(24856,plain,
% 79.37/51.25 (v127(constB187, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24855, 24851])).
% 79.37/51.25 tff(24857,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24858,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24859,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 79.37/51.25 tff(24860,plain,
% 79.37/51.25 ((~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24859, 1449, 24155])).
% 79.37/51.25 tff(24861,plain,
% 79.37/51.25 (v129(constB188, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24860, 24856])).
% 79.37/51.25 tff(24862,plain,
% 79.37/51.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24863,plain,
% 79.37/51.25 ((v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24864,plain,
% 79.37/51.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))))),
% 79.37/51.25 inference(monotonicity,[status(thm)],[24863])).
% 79.37/51.25 tff(24865,plain,
% 79.37/51.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 79.37/51.25 inference(transitivity,[status(thm)],[24864, 24862])).
% 79.37/51.25 tff(24866,plain,
% 79.37/51.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24867,plain,
% 79.37/51.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 79.37/51.25 tff(24868,plain,
% 79.37/51.25 (v90(constB188, bitIndex2) | (~v100(constB188))),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24867, 1539, 24861])).
% 79.37/51.25 tff(24869,plain,
% 79.37/51.25 (v90(constB188, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24868, 24847])).
% 79.37/51.25 tff(24870,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24871,plain,
% 79.37/51.25 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24872,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 79.37/51.25 inference(monotonicity,[status(thm)],[24871])).
% 79.37/51.25 tff(24873,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 79.37/51.25 inference(transitivity,[status(thm)],[24872, 24870])).
% 79.37/51.25 tff(24874,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24875,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24874, 24873])).
% 79.37/51.25 tff(24876,plain,
% 79.37/51.25 (~v101(constB189)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24875, 307, 24214, 24254])).
% 79.37/51.25 tff(24877,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24878,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24879,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24878, 24877])).
% 79.37/51.25 tff(24880,plain,
% 79.37/51.25 (v101(constB189) | (~v100(constB189))),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24879, 324, 24214])).
% 79.37/51.25 tff(24881,plain,
% 79.37/51.25 (~v100(constB189)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24880, 24876])).
% 79.37/51.25 tff(24882,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24883,plain,
% 79.37/51.25 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24884,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)))),
% 79.37/51.25 inference(monotonicity,[status(thm)],[24883])).
% 79.37/51.25 tff(24885,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 79.37/51.25 inference(transitivity,[status(thm)],[24884, 24882])).
% 79.37/51.25 tff(24886,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24887,plain,
% 79.37/51.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24886, 24885])).
% 79.37/51.25 tff(24888,plain,
% 79.37/51.25 ((~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24887, 1575, 24214])).
% 79.37/51.25 tff(24889,plain,
% 79.37/51.25 ((~v90(constB188, bitIndex2)) | v90(constB189, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24888, 24881])).
% 79.37/51.25 tff(24890,plain,
% 79.37/51.25 (v90(constB189, bitIndex2)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24889, 24869])).
% 79.37/51.25 tff(24891,plain,
% 79.37/51.25 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24892,plain,
% 79.37/51.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24893,plain,
% 79.37/51.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1))),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 79.37/51.25 tff(24894,plain,
% 79.37/51.25 (~v130(constB187, bitIndex1)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24893, 1594, 24784])).
% 79.37/51.25 tff(24895,plain,
% 79.37/51.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24896,plain,
% 79.37/51.25 ((v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1))) <=> ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 79.37/51.25 inference(rewrite,[status(thm)],[])).
% 79.37/51.25 tff(24897,plain,
% 79.37/51.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)))),
% 79.37/51.25 inference(monotonicity,[status(thm)],[24896])).
% 79.37/51.25 tff(24898,plain,
% 79.37/51.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 79.37/51.25 inference(transitivity,[status(thm)],[24897, 24895])).
% 79.37/51.25 tff(24899,plain,
% 79.37/51.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))),
% 79.37/51.25 inference(quant_inst,[status(thm)],[])).
% 79.37/51.25 tff(24900,plain,
% 79.37/51.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)),
% 79.37/51.25 inference(modus_ponens,[status(thm)],[24899, 24898])).
% 79.37/51.25 tff(24901,plain,
% 79.37/51.25 ((~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24900, 714, 24804])).
% 79.37/51.25 tff(24902,plain,
% 79.37/51.25 (~v127(constB187, bitIndex1)),
% 79.37/51.25 inference(unit_resolution,[status(thm)],[24901, 24894])).
% 79.37/51.25 tff(24903,plain,
% 79.37/51.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24904,plain,
% 79.37/51.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 79.37/51.26 inference(quant_inst,[status(thm)],[])).
% 79.37/51.26 tff(24905,plain,
% 79.37/51.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 79.37/51.26 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 79.37/51.26 tff(24906,plain,
% 79.37/51.26 (v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24905, 732, 24155])).
% 79.37/51.26 tff(24907,plain,
% 79.37/51.26 (~v129(constB188, bitIndex1)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24906, 24902])).
% 79.37/51.26 tff(24908,plain,
% 79.37/51.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24909,plain,
% 79.37/51.26 (((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24910,plain,
% 79.37/51.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))))),
% 79.37/51.26 inference(monotonicity,[status(thm)],[24909])).
% 79.37/51.26 tff(24911,plain,
% 79.37/51.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 79.37/51.26 inference(transitivity,[status(thm)],[24910, 24908])).
% 79.37/51.26 tff(24912,plain,
% 79.37/51.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))),
% 79.37/51.26 inference(quant_inst,[status(thm)],[])).
% 79.37/51.26 tff(24913,plain,
% 79.37/51.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))),
% 79.37/51.26 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 79.37/51.26 tff(24914,plain,
% 79.37/51.26 ((~v90(constB188, bitIndex1)) | (~v100(constB188))),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24913, 747, 24907])).
% 79.37/51.26 tff(24915,plain,
% 79.37/51.26 (~v90(constB188, bitIndex1)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24914, 24847])).
% 79.37/51.26 tff(24916,plain,
% 79.37/51.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24917,plain,
% 79.37/51.26 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24918,plain,
% 79.37/51.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))))),
% 79.37/51.26 inference(monotonicity,[status(thm)],[24917])).
% 79.37/51.26 tff(24919,plain,
% 79.37/51.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 79.37/51.26 inference(transitivity,[status(thm)],[24918, 24916])).
% 79.37/51.26 tff(24920,plain,
% 79.37/51.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 79.37/51.26 inference(quant_inst,[status(thm)],[])).
% 79.37/51.26 tff(24921,plain,
% 79.37/51.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 79.37/51.26 inference(modus_ponens,[status(thm)],[24920, 24919])).
% 79.37/51.26 tff(24922,plain,
% 79.37/51.26 (v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24921, 360, 24214])).
% 79.37/51.26 tff(24923,plain,
% 79.37/51.26 (v90(constB188, bitIndex1) | (~v90(constB189, bitIndex1))),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24922, 24881])).
% 79.37/51.26 tff(24924,plain,
% 79.37/51.26 (~v90(constB189, bitIndex1)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24923, 24915])).
% 79.37/51.26 tff(24925,plain,
% 79.37/51.26 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24926,plain,
% 79.37/51.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 79.37/51.26 inference(quant_inst,[status(thm)],[])).
% 79.37/51.26 tff(24927,plain,
% 79.37/51.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0))),
% 79.37/51.26 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 79.37/51.26 tff(24928,plain,
% 79.37/51.26 (~v130(constB187, bitIndex0)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24927, 1638, 24784])).
% 79.37/51.26 tff(24929,plain,
% 79.37/51.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24930,plain,
% 79.37/51.26 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24931,plain,
% 79.37/51.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 79.37/51.26 inference(monotonicity,[status(thm)],[24930])).
% 79.37/51.26 tff(24932,plain,
% 79.37/51.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 79.37/51.26 inference(transitivity,[status(thm)],[24931, 24929])).
% 79.37/51.26 tff(24933,plain,
% 79.37/51.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 79.37/51.26 inference(quant_inst,[status(thm)],[])).
% 79.37/51.26 tff(24934,plain,
% 79.37/51.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 79.37/51.26 inference(modus_ponens,[status(thm)],[24933, 24932])).
% 79.37/51.26 tff(24935,plain,
% 79.37/51.26 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24934, 1112, 24804])).
% 79.37/51.26 tff(24936,plain,
% 79.37/51.26 (~v127(constB187, bitIndex0)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24935, 24928])).
% 79.37/51.26 tff(24937,plain,
% 79.37/51.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24938,plain,
% 79.37/51.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 79.37/51.26 inference(quant_inst,[status(thm)],[])).
% 79.37/51.26 tff(24939,plain,
% 79.37/51.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 79.37/51.26 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 79.37/51.26 tff(24940,plain,
% 79.37/51.26 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24939, 1130, 24155])).
% 79.37/51.26 tff(24941,plain,
% 79.37/51.26 (~v129(constB188, bitIndex0)),
% 79.37/51.26 inference(unit_resolution,[status(thm)],[24940, 24936])).
% 79.37/51.26 tff(24942,plain,
% 79.37/51.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24943,plain,
% 79.37/51.26 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 79.37/51.26 inference(rewrite,[status(thm)],[])).
% 79.37/51.26 tff(24944,plain,
% 79.37/51.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 79.37/51.26 inference(monotonicity,[status(thm)],[24943])).
% 79.37/51.26 tff(24945,plain,
% 79.37/51.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 79.37/51.27 inference(transitivity,[status(thm)],[24944, 24942])).
% 79.37/51.27 tff(24946,plain,
% 79.37/51.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24947,plain,
% 79.37/51.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24946, 24945])).
% 79.37/51.27 tff(24948,plain,
% 79.37/51.27 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24947, 1145, 24941])).
% 79.37/51.27 tff(24949,plain,
% 79.37/51.27 (~v90(constB188, bitIndex0)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24948, 24847])).
% 79.37/51.27 tff(24950,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24951,plain,
% 79.37/51.27 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24952,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 79.37/51.27 inference(monotonicity,[status(thm)],[24951])).
% 79.37/51.27 tff(24953,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 79.37/51.27 inference(transitivity,[status(thm)],[24952, 24950])).
% 79.37/51.27 tff(24954,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24955,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 79.37/51.27 tff(24956,plain,
% 79.37/51.27 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24955, 381, 24214])).
% 79.37/51.27 tff(24957,plain,
% 79.37/51.27 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24956, 24881])).
% 79.37/51.27 tff(24958,plain,
% 79.37/51.27 (~v90(constB189, bitIndex0)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24957, 24949])).
% 79.37/51.27 tff(24959,plain,
% 79.37/51.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24960,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24961,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189)),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24960, 24959])).
% 79.37/51.27 tff(24962,plain,
% 79.37/51.27 (v123(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24961, 1682, 24958, 24924, 24890])).
% 79.37/51.27 tff(24963,plain,
% 79.37/51.27 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24964,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24965,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24964, 24963])).
% 79.37/51.27 tff(24966,plain,
% 79.37/51.27 (v115(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24965, 1693, 24962])).
% 79.37/51.27 tff(24967,plain,
% 79.37/51.27 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24968,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24969,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24968, 24967])).
% 79.37/51.27 tff(24970,plain,
% 79.37/51.27 (v114(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24969, 530, 24966])).
% 79.37/51.27 tff(24971,plain,
% 79.37/51.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24972,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24973,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24972, 24971])).
% 79.37/51.27 tff(24974,plain,
% 79.37/51.27 (v113(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24973, 541, 24970])).
% 79.37/51.27 tff(24975,assumption,(v26(constB189)), introduced(assumption)).
% 79.37/51.27 tff(24976,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24977,plain,
% 79.37/51.27 ($false),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24976, 14, 24975])).
% 79.37/51.27 tff(24978,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 79.37/51.27 tff(24979,plain,
% 79.37/51.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24980,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24981,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24980, 24979])).
% 79.37/51.27 tff(24982,plain,
% 79.37/51.27 ((~v113(constB189)) | v112(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24981, 555, 24978])).
% 79.37/51.27 tff(24983,plain,
% 79.37/51.27 (v112(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24982, 24974])).
% 79.37/51.27 tff(24984,plain,
% 79.37/51.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24985,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24986,plain,
% 79.37/51.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24985, 24984])).
% 79.37/51.27 tff(24987,plain,
% 79.37/51.27 (v108(constB189)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24986, 464, 24983])).
% 79.37/51.27 tff(24988,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24989,plain,
% 79.37/51.27 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24990,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 79.37/51.27 inference(monotonicity,[status(thm)],[24989])).
% 79.37/51.27 tff(24991,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 79.37/51.27 inference(transitivity,[status(thm)],[24990, 24988])).
% 79.37/51.27 tff(24992,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24993,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24992, 24991])).
% 79.37/51.27 tff(24994,plain,
% 79.37/51.27 (v110(constB190) | (~v108(constB189))),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24993, 571, 24246])).
% 79.37/51.27 tff(24995,plain,
% 79.37/51.27 (v110(constB190)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24994, 24987])).
% 79.37/51.27 tff(24996,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(24997,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(24998,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[24997, 24996])).
% 79.37/51.27 tff(24999,plain,
% 79.37/51.27 (~v104(constB190)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[24998, 589, 24246, 24254])).
% 79.37/51.27 tff(25000,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(25001,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(25002,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[25001, 25000])).
% 79.37/51.27 tff(25003,plain,
% 79.37/51.27 (v102(constB190) | v104(constB190)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[25002, 603, 24246])).
% 79.37/51.27 tff(25004,plain,
% 79.37/51.27 (v102(constB190)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[25003, 24999])).
% 79.37/51.27 tff(25005,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(25006,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 79.37/51.27 inference(quant_inst,[status(thm)],[])).
% 79.37/51.27 tff(25007,plain,
% 79.37/51.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 79.37/51.27 inference(modus_ponens,[status(thm)],[25006, 25005])).
% 79.37/51.27 tff(25008,plain,
% 79.37/51.27 (v101(constB190) | (~v102(constB190))),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[25007, 621, 24246, 24230])).
% 79.37/51.27 tff(25009,plain,
% 79.37/51.27 (v101(constB190)),
% 79.37/51.27 inference(unit_resolution,[status(thm)],[25008, 25004])).
% 79.37/51.27 tff(25010,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(25011,plain,
% 79.37/51.27 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 79.37/51.27 inference(rewrite,[status(thm)],[])).
% 79.37/51.27 tff(25012,plain,
% 79.37/51.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 79.37/51.28 inference(monotonicity,[status(thm)],[25011])).
% 79.37/51.28 tff(25013,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 79.37/51.28 inference(transitivity,[status(thm)],[25012, 25010])).
% 79.37/51.28 tff(25014,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25015,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25014, 25013])).
% 79.37/51.28 tff(25016,plain,
% 79.37/51.28 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25015, 636, 24246])).
% 79.37/51.28 tff(25017,plain,
% 79.37/51.28 (v100(constB190) | (~v110(constB190))),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25016, 25009])).
% 79.37/51.28 tff(25018,plain,
% 79.37/51.28 (v100(constB190)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25017, 24995])).
% 79.37/51.28 tff(25019,plain,
% 79.37/51.28 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25020,plain,
% 79.37/51.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25021,plain,
% 79.37/51.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2)),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25020, 25019])).
% 79.37/51.28 tff(25022,plain,
% 79.37/51.28 (v130(constB189, bitIndex2)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25021, 1877, 24962])).
% 79.37/51.28 tff(25023,plain,
% 79.37/51.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25024,plain,
% 79.37/51.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25025,plain,
% 79.37/51.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25024, 25023])).
% 79.37/51.28 tff(25026,plain,
% 79.37/51.28 ((~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25025, 1431, 24978])).
% 79.37/51.28 tff(25027,plain,
% 79.37/51.28 (v127(constB189, bitIndex2)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25026, 25022])).
% 79.37/51.28 tff(25028,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25029,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25030,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25029, 25028])).
% 79.37/51.28 tff(25031,plain,
% 79.37/51.28 ((~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25030, 1449, 24246])).
% 79.37/51.28 tff(25032,plain,
% 79.37/51.28 (v129(constB190, bitIndex2)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25031, 25027])).
% 79.37/51.28 tff(25033,plain,
% 79.37/51.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25034,plain,
% 79.37/51.28 ((v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25035,plain,
% 79.37/51.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))))),
% 79.37/51.28 inference(monotonicity,[status(thm)],[25034])).
% 79.37/51.28 tff(25036,plain,
% 79.37/51.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 79.37/51.28 inference(transitivity,[status(thm)],[25035, 25033])).
% 79.37/51.28 tff(25037,plain,
% 79.37/51.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25038,plain,
% 79.37/51.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25037, 25036])).
% 79.37/51.28 tff(25039,plain,
% 79.37/51.28 (v90(constB190, bitIndex2) | (~v100(constB190))),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25038, 1539, 25032])).
% 79.37/51.28 tff(25040,plain,
% 79.37/51.28 (v90(constB190, bitIndex2)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25039, 25018])).
% 79.37/51.28 tff(25041,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25042,plain,
% 79.37/51.28 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25043,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 79.37/51.28 inference(monotonicity,[status(thm)],[25042])).
% 79.37/51.28 tff(25044,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 79.37/51.28 inference(transitivity,[status(thm)],[25043, 25041])).
% 79.37/51.28 tff(25045,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25046,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25045, 25044])).
% 79.37/51.28 tff(25047,plain,
% 79.37/51.28 (~v101(constB191)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25046, 307, 24305, 24345])).
% 79.37/51.28 tff(25048,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25049,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 79.37/51.28 inference(quant_inst,[status(thm)],[])).
% 79.37/51.28 tff(25050,plain,
% 79.37/51.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 79.37/51.28 inference(modus_ponens,[status(thm)],[25049, 25048])).
% 79.37/51.28 tff(25051,plain,
% 79.37/51.28 (v101(constB191) | (~v100(constB191))),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25050, 324, 24305])).
% 79.37/51.28 tff(25052,plain,
% 79.37/51.28 (~v100(constB191)),
% 79.37/51.28 inference(unit_resolution,[status(thm)],[25051, 25047])).
% 79.37/51.28 tff(25053,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25054,plain,
% 79.37/51.28 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 79.37/51.28 inference(rewrite,[status(thm)],[])).
% 79.37/51.28 tff(25055,plain,
% 79.37/51.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)))),
% 79.37/51.28 inference(monotonicity,[status(thm)],[25054])).
% 79.37/51.29 tff(25056,plain,
% 79.37/51.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 79.37/51.29 inference(transitivity,[status(thm)],[25055, 25053])).
% 79.37/51.29 tff(25057,plain,
% 79.37/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25058,plain,
% 79.37/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 79.37/51.29 tff(25059,plain,
% 79.37/51.29 ((~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25058, 1575, 24305])).
% 79.37/51.29 tff(25060,plain,
% 79.37/51.29 ((~v90(constB190, bitIndex2)) | v90(constB191, bitIndex2)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25059, 25052])).
% 79.37/51.29 tff(25061,plain,
% 79.37/51.29 (v90(constB191, bitIndex2)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25060, 25040])).
% 79.37/51.29 tff(25062,plain,
% 79.37/51.29 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25063,plain,
% 79.37/51.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25064,plain,
% 79.37/51.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1))),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25063, 25062])).
% 79.37/51.29 tff(25065,plain,
% 79.37/51.29 (~v130(constB189, bitIndex1)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25064, 1765, 24962])).
% 79.37/51.29 tff(25066,plain,
% 79.37/51.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25067,plain,
% 79.37/51.29 ((v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1))) <=> ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25068,plain,
% 79.37/51.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)))),
% 79.37/51.29 inference(monotonicity,[status(thm)],[25067])).
% 79.37/51.29 tff(25069,plain,
% 79.37/51.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 79.37/51.29 inference(transitivity,[status(thm)],[25068, 25066])).
% 79.37/51.29 tff(25070,plain,
% 79.37/51.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25071,plain,
% 79.37/51.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 79.37/51.29 tff(25072,plain,
% 79.37/51.29 ((~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25071, 714, 24978])).
% 79.37/51.29 tff(25073,plain,
% 79.37/51.29 (~v127(constB189, bitIndex1)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25072, 25065])).
% 79.37/51.29 tff(25074,plain,
% 79.37/51.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25075,plain,
% 79.37/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25076,plain,
% 79.37/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25075, 25074])).
% 79.37/51.29 tff(25077,plain,
% 79.37/51.29 (v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25076, 732, 24246])).
% 79.37/51.29 tff(25078,plain,
% 79.37/51.29 (~v129(constB190, bitIndex1)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25077, 25073])).
% 79.37/51.29 tff(25079,plain,
% 79.37/51.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25080,plain,
% 79.37/51.29 (((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25081,plain,
% 79.37/51.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))))),
% 79.37/51.29 inference(monotonicity,[status(thm)],[25080])).
% 79.37/51.29 tff(25082,plain,
% 79.37/51.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 79.37/51.29 inference(transitivity,[status(thm)],[25081, 25079])).
% 79.37/51.29 tff(25083,plain,
% 79.37/51.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25084,plain,
% 79.37/51.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25083, 25082])).
% 79.37/51.29 tff(25085,plain,
% 79.37/51.29 ((~v90(constB190, bitIndex1)) | (~v100(constB190))),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25084, 747, 25078])).
% 79.37/51.29 tff(25086,plain,
% 79.37/51.29 (~v90(constB190, bitIndex1)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25085, 25018])).
% 79.37/51.29 tff(25087,plain,
% 79.37/51.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25088,plain,
% 79.37/51.29 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25089,plain,
% 79.37/51.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))))),
% 79.37/51.29 inference(monotonicity,[status(thm)],[25088])).
% 79.37/51.29 tff(25090,plain,
% 79.37/51.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 79.37/51.29 inference(transitivity,[status(thm)],[25089, 25087])).
% 79.37/51.29 tff(25091,plain,
% 79.37/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25092,plain,
% 79.37/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 79.37/51.29 tff(25093,plain,
% 79.37/51.29 (v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25092, 360, 24305])).
% 79.37/51.29 tff(25094,plain,
% 79.37/51.29 (v90(constB190, bitIndex1) | (~v90(constB191, bitIndex1))),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25093, 25052])).
% 79.37/51.29 tff(25095,plain,
% 79.37/51.29 (~v90(constB191, bitIndex1)),
% 79.37/51.29 inference(unit_resolution,[status(thm)],[25094, 25086])).
% 79.37/51.29 tff(25096,plain,
% 79.37/51.29 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0))),
% 79.37/51.29 inference(rewrite,[status(thm)],[])).
% 79.37/51.29 tff(25097,plain,
% 79.37/51.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))),
% 79.37/51.29 inference(quant_inst,[status(thm)],[])).
% 79.37/51.29 tff(25098,plain,
% 79.37/51.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0)),
% 79.37/51.29 inference(modus_ponens,[status(thm)],[25097, 25096])).
% 79.46/51.29 tff(25099,plain,
% 79.46/51.29 (v130(constB189, bitIndex0)),
% 79.46/51.29 inference(unit_resolution,[status(thm)],[25098, 1836, 24962])).
% 79.46/51.29 tff(25100,plain,
% 79.46/51.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 79.46/51.29 inference(rewrite,[status(thm)],[])).
% 79.46/51.29 tff(25101,plain,
% 79.46/51.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 79.46/51.29 inference(quant_inst,[status(thm)],[])).
% 79.46/51.29 tff(25102,plain,
% 79.46/51.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 79.46/51.29 inference(modus_ponens,[status(thm)],[25101, 25100])).
% 79.46/51.29 tff(25103,plain,
% 79.46/51.29 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 79.46/51.29 inference(unit_resolution,[status(thm)],[25102, 788, 24978])).
% 79.46/51.29 tff(25104,plain,
% 79.46/51.29 (v127(constB189, bitIndex0)),
% 79.46/51.29 inference(unit_resolution,[status(thm)],[25103, 25099])).
% 79.46/51.29 tff(25105,plain,
% 79.46/51.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 79.46/51.29 inference(rewrite,[status(thm)],[])).
% 79.46/51.29 tff(25106,plain,
% 79.46/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 79.46/51.29 inference(quant_inst,[status(thm)],[])).
% 79.46/51.29 tff(25107,plain,
% 79.46/51.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 79.46/51.29 inference(modus_ponens,[status(thm)],[25106, 25105])).
% 79.46/51.29 tff(25108,plain,
% 79.46/51.29 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 79.46/51.29 inference(unit_resolution,[status(thm)],[25107, 803, 24246])).
% 79.46/51.29 tff(25109,plain,
% 79.46/51.29 (v129(constB190, bitIndex0)),
% 79.46/51.29 inference(unit_resolution,[status(thm)],[25108, 25104])).
% 79.46/51.29 tff(25110,plain,
% 79.46/51.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 79.46/51.29 inference(rewrite,[status(thm)],[])).
% 79.46/51.29 tff(25111,plain,
% 79.46/51.29 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 79.46/51.29 inference(rewrite,[status(thm)],[])).
% 79.46/51.29 tff(25112,plain,
% 79.46/51.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 79.46/51.29 inference(monotonicity,[status(thm)],[25111])).
% 79.46/51.29 tff(25113,plain,
% 79.46/51.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 79.46/51.30 inference(transitivity,[status(thm)],[25112, 25110])).
% 79.46/51.30 tff(25114,plain,
% 79.46/51.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25115,plain,
% 79.46/51.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 79.46/51.30 tff(25116,plain,
% 79.46/51.30 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25115, 818, 25109])).
% 79.46/51.30 tff(25117,plain,
% 79.46/51.30 (v90(constB190, bitIndex0)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25116, 25018])).
% 79.46/51.30 tff(25118,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25119,plain,
% 79.46/51.30 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25120,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 79.46/51.30 inference(monotonicity,[status(thm)],[25119])).
% 79.46/51.30 tff(25121,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 79.46/51.30 inference(transitivity,[status(thm)],[25120, 25118])).
% 79.46/51.30 tff(25122,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25123,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25122, 25121])).
% 79.46/51.30 tff(25124,plain,
% 79.46/51.30 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25123, 836, 24305])).
% 79.46/51.30 tff(25125,plain,
% 79.46/51.30 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25124, 25052])).
% 79.46/51.30 tff(25126,plain,
% 79.46/51.30 (v90(constB191, bitIndex0)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25125, 25117])).
% 79.46/51.30 tff(25127,plain,
% 79.46/51.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25128,plain,
% 79.46/51.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25129,plain,
% 79.46/51.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191)),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25128, 25127])).
% 79.46/51.30 tff(25130,plain,
% 79.46/51.30 (v124(constB191)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25129, 1919, 25126, 25095, 25061])).
% 79.46/51.30 tff(25131,plain,
% 79.46/51.30 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25132,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25133,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25132, 25131])).
% 79.46/51.30 tff(25134,plain,
% 79.46/51.30 (v114(constB191)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25133, 1951, 25130])).
% 79.46/51.30 tff(25135,plain,
% 79.46/51.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25136,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25137,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 79.46/51.30 tff(25138,plain,
% 79.46/51.30 (v113(constB191)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25137, 541, 25134])).
% 79.46/51.30 tff(25139,assumption,(v26(constB191)), introduced(assumption)).
% 79.46/51.30 tff(25140,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25141,plain,
% 79.46/51.30 ($false),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25140, 14, 25139])).
% 79.46/51.30 tff(25142,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 79.46/51.30 tff(25143,plain,
% 79.46/51.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25144,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25145,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191)),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25144, 25143])).
% 79.46/51.30 tff(25146,plain,
% 79.46/51.30 ((~v113(constB191)) | v112(constB191)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25145, 555, 25142])).
% 79.46/51.30 tff(25147,plain,
% 79.46/51.30 (v112(constB191)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25146, 25138])).
% 79.46/51.30 tff(25148,plain,
% 79.46/51.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25149,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25150,plain,
% 79.46/51.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25149, 25148])).
% 79.46/51.30 tff(25151,plain,
% 79.46/51.30 (v108(constB191)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25150, 464, 25147])).
% 79.46/51.30 tff(25152,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25153,plain,
% 79.46/51.30 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25154,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 79.46/51.30 inference(monotonicity,[status(thm)],[25153])).
% 79.46/51.30 tff(25155,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 79.46/51.30 inference(transitivity,[status(thm)],[25154, 25152])).
% 79.46/51.30 tff(25156,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25157,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 79.46/51.30 tff(25158,plain,
% 79.46/51.30 (v110(constB192) | (~v108(constB191))),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25157, 571, 24337])).
% 79.46/51.30 tff(25159,plain,
% 79.46/51.30 (v110(constB192)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25158, 25151])).
% 79.46/51.30 tff(25160,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25161,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25162,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 79.46/51.30 tff(25163,plain,
% 79.46/51.30 (~v104(constB192)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25162, 589, 24337, 24345])).
% 79.46/51.30 tff(25164,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25165,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25166,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25165, 25164])).
% 79.46/51.30 tff(25167,plain,
% 79.46/51.30 (v102(constB192) | v104(constB192)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25166, 603, 24337])).
% 79.46/51.30 tff(25168,plain,
% 79.46/51.30 (v102(constB192)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25167, 25163])).
% 79.46/51.30 tff(25169,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25170,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 79.46/51.30 inference(quant_inst,[status(thm)],[])).
% 79.46/51.30 tff(25171,plain,
% 79.46/51.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 79.46/51.30 inference(modus_ponens,[status(thm)],[25170, 25169])).
% 79.46/51.30 tff(25172,plain,
% 79.46/51.30 (v101(constB192) | (~v102(constB192))),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25171, 621, 24337, 24321])).
% 79.46/51.30 tff(25173,plain,
% 79.46/51.30 (v101(constB192)),
% 79.46/51.30 inference(unit_resolution,[status(thm)],[25172, 25168])).
% 79.46/51.30 tff(25174,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25175,plain,
% 79.46/51.30 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 79.46/51.30 inference(rewrite,[status(thm)],[])).
% 79.46/51.30 tff(25176,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 79.46/51.30 inference(monotonicity,[status(thm)],[25175])).
% 79.46/51.30 tff(25177,plain,
% 79.46/51.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 79.46/51.30 inference(transitivity,[status(thm)],[25176, 25174])).
% 79.46/51.30 tff(25178,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25179,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25178, 25177])).
% 79.46/51.31 tff(25180,plain,
% 79.46/51.31 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25179, 636, 24337])).
% 79.46/51.31 tff(25181,plain,
% 79.46/51.31 (v100(constB192) | (~v110(constB192))),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25180, 25173])).
% 79.46/51.31 tff(25182,plain,
% 79.46/51.31 (v100(constB192)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25181, 25159])).
% 79.46/51.31 tff(25183,plain,
% 79.46/51.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25184,plain,
% 79.46/51.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25185,plain,
% 79.46/51.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0))),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 79.46/51.31 tff(25186,plain,
% 79.46/51.31 (~v130(constB191, bitIndex0)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25185, 2112, 25130])).
% 79.46/51.31 tff(25187,plain,
% 79.46/51.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25188,plain,
% 79.46/51.31 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25189,plain,
% 79.46/51.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)))),
% 79.46/51.31 inference(monotonicity,[status(thm)],[25188])).
% 79.46/51.31 tff(25190,plain,
% 79.46/51.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 79.46/51.31 inference(transitivity,[status(thm)],[25189, 25187])).
% 79.46/51.31 tff(25191,plain,
% 79.46/51.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25192,plain,
% 79.46/51.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 79.46/51.31 tff(25193,plain,
% 79.46/51.31 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25192, 1112, 25142])).
% 79.46/51.31 tff(25194,plain,
% 79.46/51.31 (~v127(constB191, bitIndex0)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25193, 25186])).
% 79.46/51.31 tff(25195,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25196,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25197,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25196, 25195])).
% 79.46/51.31 tff(25198,plain,
% 79.46/51.31 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25197, 1130, 24337])).
% 79.46/51.31 tff(25199,plain,
% 79.46/51.31 (~v129(constB192, bitIndex0)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25198, 25194])).
% 79.46/51.31 tff(25200,plain,
% 79.46/51.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25201,plain,
% 79.46/51.31 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25202,plain,
% 79.46/51.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))))),
% 79.46/51.31 inference(monotonicity,[status(thm)],[25201])).
% 79.46/51.31 tff(25203,plain,
% 79.46/51.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 79.46/51.31 inference(transitivity,[status(thm)],[25202, 25200])).
% 79.46/51.31 tff(25204,plain,
% 79.46/51.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25205,plain,
% 79.46/51.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25204, 25203])).
% 79.46/51.31 tff(25206,plain,
% 79.46/51.31 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25205, 1145, 25199])).
% 79.46/51.31 tff(25207,plain,
% 79.46/51.31 (~v90(constB192, bitIndex0)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25206, 25182])).
% 79.46/51.31 tff(25208,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25209,plain,
% 79.46/51.31 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25210,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 79.46/51.31 inference(monotonicity,[status(thm)],[25209])).
% 79.46/51.31 tff(25211,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 79.46/51.31 inference(transitivity,[status(thm)],[25210, 25208])).
% 79.46/51.31 tff(25212,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25213,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25212, 25211])).
% 79.46/51.31 tff(25214,plain,
% 79.46/51.31 (~v101(constB193)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25213, 307, 24396, 20955])).
% 79.46/51.31 tff(25215,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25216,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 79.46/51.31 inference(quant_inst,[status(thm)],[])).
% 79.46/51.31 tff(25217,plain,
% 79.46/51.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 79.46/51.31 inference(modus_ponens,[status(thm)],[25216, 25215])).
% 79.46/51.31 tff(25218,plain,
% 79.46/51.31 (v101(constB193) | (~v100(constB193))),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25217, 324, 24396])).
% 79.46/51.31 tff(25219,plain,
% 79.46/51.31 (~v100(constB193)),
% 79.46/51.31 inference(unit_resolution,[status(thm)],[25218, 25214])).
% 79.46/51.31 tff(25220,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25221,plain,
% 79.46/51.31 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 79.46/51.31 inference(rewrite,[status(thm)],[])).
% 79.46/51.31 tff(25222,plain,
% 79.46/51.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))))),
% 79.46/51.32 inference(monotonicity,[status(thm)],[25221])).
% 79.46/51.32 tff(25223,plain,
% 79.46/51.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 79.46/51.32 inference(transitivity,[status(thm)],[25222, 25220])).
% 79.46/51.32 tff(25224,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25225,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25224, 25223])).
% 79.46/51.32 tff(25226,plain,
% 79.46/51.32 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25225, 381, 24396])).
% 79.46/51.32 tff(25227,plain,
% 79.46/51.32 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25226, 25219])).
% 79.46/51.32 tff(25228,plain,
% 79.46/51.32 (~v90(constB193, bitIndex0)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25227, 25207])).
% 79.46/51.32 tff(25229,plain,
% 79.46/51.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25230,plain,
% 79.46/51.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25231,plain,
% 79.46/51.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0))),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25230, 25229])).
% 79.46/51.32 tff(25232,plain,
% 79.46/51.32 (~v88(constB193, bitIndex0)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25231, 10755, 25228])).
% 79.46/51.32 tff(25233,plain,
% 79.46/51.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25234,plain,
% 79.46/51.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25235,plain,
% 79.46/51.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25234, 25233])).
% 79.46/51.32 tff(25236,plain,
% 79.46/51.32 (v130(constB191, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25235, 2050, 25130])).
% 79.46/51.32 tff(25237,plain,
% 79.46/51.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25238,plain,
% 79.46/51.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25239,plain,
% 79.46/51.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25238, 25237])).
% 79.46/51.32 tff(25240,plain,
% 79.46/51.32 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25239, 1431, 25142])).
% 79.46/51.32 tff(25241,plain,
% 79.46/51.32 (v127(constB191, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25240, 25236])).
% 79.46/51.32 tff(25242,plain,
% 79.46/51.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25243,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25244,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 79.46/51.32 tff(25245,plain,
% 79.46/51.32 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25244, 1449, 24337])).
% 79.46/51.32 tff(25246,plain,
% 79.46/51.32 (v129(constB192, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25245, 25241])).
% 79.46/51.32 tff(25247,plain,
% 79.46/51.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25248,plain,
% 79.46/51.32 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25249,plain,
% 79.46/51.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))))),
% 79.46/51.32 inference(monotonicity,[status(thm)],[25248])).
% 79.46/51.32 tff(25250,plain,
% 79.46/51.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 79.46/51.32 inference(transitivity,[status(thm)],[25249, 25247])).
% 79.46/51.32 tff(25251,plain,
% 79.46/51.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25252,plain,
% 79.46/51.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25251, 25250])).
% 79.46/51.32 tff(25253,plain,
% 79.46/51.32 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25252, 1539, 25246])).
% 79.46/51.32 tff(25254,plain,
% 79.46/51.32 (v90(constB192, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25253, 25182])).
% 79.46/51.32 tff(25255,plain,
% 79.46/51.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25256,plain,
% 79.46/51.32 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25257,plain,
% 79.46/51.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)))),
% 79.46/51.32 inference(monotonicity,[status(thm)],[25256])).
% 79.46/51.32 tff(25258,plain,
% 79.46/51.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 79.46/51.32 inference(transitivity,[status(thm)],[25257, 25255])).
% 79.46/51.32 tff(25259,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25260,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 79.46/51.32 tff(25261,plain,
% 79.46/51.32 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25260, 1575, 24396])).
% 79.46/51.32 tff(25262,plain,
% 79.46/51.32 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25261, 25219])).
% 79.46/51.32 tff(25263,plain,
% 79.46/51.32 (v90(constB193, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25262, 25254])).
% 79.46/51.32 tff(25264,plain,
% 79.46/51.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25265,plain,
% 79.46/51.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25266,plain,
% 79.46/51.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25265, 25264])).
% 79.46/51.32 tff(25267,plain,
% 79.46/51.32 (v88(constB193, bitIndex2)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25266, 10735, 25263])).
% 79.46/51.32 tff(25268,plain,
% 79.46/51.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25269,plain,
% 79.46/51.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25270,plain,
% 79.46/51.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25269, 25268])).
% 79.46/51.32 tff(25271,plain,
% 79.46/51.32 (v130(constB191, bitIndex1)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25270, 1936, 25130])).
% 79.46/51.32 tff(25272,plain,
% 79.46/51.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25273,plain,
% 79.46/51.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25274,plain,
% 79.46/51.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25273, 25272])).
% 79.46/51.32 tff(25275,plain,
% 79.46/51.32 ((~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25274, 1031, 25142])).
% 79.46/51.32 tff(25276,plain,
% 79.46/51.32 (v127(constB191, bitIndex1)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25275, 25271])).
% 79.46/51.32 tff(25277,plain,
% 79.46/51.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25278,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 79.46/51.32 inference(quant_inst,[status(thm)],[])).
% 79.46/51.32 tff(25279,plain,
% 79.46/51.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 79.46/51.32 inference(modus_ponens,[status(thm)],[25278, 25277])).
% 79.46/51.32 tff(25280,plain,
% 79.46/51.32 ((~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25279, 1046, 24337])).
% 79.46/51.32 tff(25281,plain,
% 79.46/51.32 (v129(constB192, bitIndex1)),
% 79.46/51.32 inference(unit_resolution,[status(thm)],[25280, 25276])).
% 79.46/51.32 tff(25282,plain,
% 79.46/51.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 79.46/51.32 inference(rewrite,[status(thm)],[])).
% 79.46/51.32 tff(25283,plain,
% 79.46/51.32 ((v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25284,plain,
% 79.46/51.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))))),
% 79.46/51.33 inference(monotonicity,[status(thm)],[25283])).
% 79.46/51.33 tff(25285,plain,
% 79.46/51.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 79.46/51.33 inference(transitivity,[status(thm)],[25284, 25282])).
% 79.46/51.33 tff(25286,plain,
% 79.46/51.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25287,plain,
% 79.46/51.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 79.46/51.33 tff(25288,plain,
% 79.46/51.33 (v90(constB192, bitIndex1) | (~v100(constB192))),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25287, 1061, 25281])).
% 79.46/51.33 tff(25289,plain,
% 79.46/51.33 (v90(constB192, bitIndex1)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25288, 25182])).
% 79.46/51.33 tff(25290,plain,
% 79.46/51.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25291,plain,
% 79.46/51.33 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25292,plain,
% 79.46/51.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)))),
% 79.46/51.33 inference(monotonicity,[status(thm)],[25291])).
% 79.46/51.33 tff(25293,plain,
% 79.46/51.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 79.46/51.33 inference(transitivity,[status(thm)],[25292, 25290])).
% 79.46/51.33 tff(25294,plain,
% 79.46/51.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25295,plain,
% 79.46/51.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25294, 25293])).
% 79.46/51.33 tff(25296,plain,
% 79.46/51.33 ((~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25295, 1079, 24396])).
% 79.46/51.33 tff(25297,plain,
% 79.46/51.33 ((~v90(constB192, bitIndex1)) | v90(constB193, bitIndex1)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25296, 25219])).
% 79.46/51.33 tff(25298,plain,
% 79.46/51.33 (v90(constB193, bitIndex1)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25297, 25289])).
% 79.46/51.33 tff(25299,plain,
% 79.46/51.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25300,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25301,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1)),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25300, 25299])).
% 79.46/51.33 tff(25302,plain,
% 79.46/51.33 (v88(constB193, bitIndex1)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25301, 10690, 25298])).
% 79.46/51.33 tff(25303,plain,
% 79.46/51.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | v144(constB193))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25304,plain,
% 79.46/51.33 (((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193)) <=> ((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | v144(constB193))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25305,plain,
% 79.46/51.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | v144(constB193)))),
% 79.46/51.33 inference(monotonicity,[status(thm)],[25304])).
% 79.46/51.33 tff(25306,plain,
% 79.46/51.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | v144(constB193))),
% 79.46/51.33 inference(transitivity,[status(thm)],[25305, 25303])).
% 79.46/51.33 tff(25307,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25308,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | v144(constB193)),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 79.46/51.33 tff(25309,plain,
% 79.46/51.33 (v144(constB193)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25308, 10769, 25302, 25267, 25232])).
% 79.46/51.33 tff(25310,plain,
% 79.46/51.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB193) | (~v144(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25311,plain,
% 79.46/51.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB193) | (~v144(constB193)))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25312,plain,
% 79.46/51.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB193) | (~v144(constB193))),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 79.46/51.33 tff(25313,plain,
% 79.46/51.33 (v142(constB193)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25312, 10784, 25309])).
% 79.46/51.33 tff(25314,plain,
% 79.46/51.33 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB193) | (~v142(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25315,plain,
% 79.46/51.33 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB193) | (~v142(constB193)))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25316,plain,
% 79.46/51.33 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB193) | (~v142(constB193))),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25315, 25314])).
% 79.46/51.33 tff(25317,plain,
% 79.46/51.33 (v227(constB193)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25316, 10806, 25313])).
% 79.46/51.33 tff(25318,plain,
% 79.46/51.33 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB193) | (~v227(constB193)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB193) | (~v227(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25319,plain,
% 79.46/51.33 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB193) | (~v227(constB193)))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25320,plain,
% 79.46/51.33 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB193) | (~v227(constB193))),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 79.46/51.33 tff(25321,plain,
% 79.46/51.33 (v226(constB193)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25320, 10817, 25317])).
% 79.46/51.33 tff(25322,plain,
% 79.46/51.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v139(constB193)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v139(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25323,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v139(constB193)))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25324,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v139(constB193))),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 79.46/51.33 tff(25325,plain,
% 79.46/51.33 (~v139(constB193)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25324, 11863, 25302])).
% 79.46/51.33 tff(25326,plain,
% 79.46/51.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v140(constB193)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v140(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25327,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v140(constB193)))),
% 79.46/51.33 inference(quant_inst,[status(thm)],[])).
% 79.46/51.33 tff(25328,plain,
% 79.46/51.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v140(constB193))),
% 79.46/51.33 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 79.46/51.33 tff(25329,plain,
% 79.46/51.33 (~v140(constB193)),
% 79.46/51.33 inference(unit_resolution,[status(thm)],[25328, 11526, 25302])).
% 79.46/51.33 tff(25330,plain,
% 79.46/51.33 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25331,plain,
% 79.46/51.33 ((v140(constB193) | v139(constB193) | (~v168(constB193))) <=> (v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 79.46/51.33 inference(rewrite,[status(thm)],[])).
% 79.46/51.33 tff(25332,plain,
% 79.46/51.33 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v168(constB193))))),
% 79.46/51.33 inference(monotonicity,[status(thm)],[25331])).
% 79.46/51.33 tff(25333,plain,
% 79.46/51.33 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 79.46/51.34 inference(transitivity,[status(thm)],[25332, 25330])).
% 79.46/51.34 tff(25334,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25335,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 79.46/51.34 tff(25336,plain,
% 79.46/51.34 (~v168(constB193)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25335, 10907, 25329, 25325])).
% 79.46/51.34 tff(25337,plain,
% 79.46/51.34 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB193)) | v168(constB193) | (~v226(constB193)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB193)) | v168(constB193) | (~v226(constB193)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25338,plain,
% 79.46/51.34 ((v168(constB193) | (~v226(constB193)) | (~v161(constB193))) <=> ((~v161(constB193)) | v168(constB193) | (~v226(constB193)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25339,plain,
% 79.46/51.34 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB193) | (~v226(constB193)) | (~v161(constB193)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB193)) | v168(constB193) | (~v226(constB193))))),
% 79.46/51.34 inference(monotonicity,[status(thm)],[25338])).
% 79.46/51.34 tff(25340,plain,
% 79.46/51.34 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB193) | (~v226(constB193)) | (~v161(constB193)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB193)) | v168(constB193) | (~v226(constB193)))),
% 79.46/51.34 inference(transitivity,[status(thm)],[25339, 25337])).
% 79.46/51.34 tff(25341,plain,
% 79.46/51.34 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB193) | (~v226(constB193)) | (~v161(constB193)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25342,plain,
% 79.46/51.34 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB193)) | v168(constB193) | (~v226(constB193))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25341, 25340])).
% 79.46/51.34 tff(25343,plain,
% 79.46/51.34 ((~v161(constB193)) | (~v226(constB193))),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25342, 10975, 25336])).
% 79.46/51.34 tff(25344,plain,
% 79.46/51.34 (~v161(constB193)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25343, 25321])).
% 79.46/51.34 tff(25345,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB193) | (~v187(constB193)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB193) | (~v187(constB193)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25346,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB193) | (~v187(constB193)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25347,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB193) | (~v187(constB193))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25346, 25345])).
% 79.46/51.34 tff(25348,plain,
% 79.46/51.34 (~v187(constB193)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25347, 10989, 25344])).
% 79.46/51.34 tff(25349,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB193) | (~v185(constB193)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB193) | (~v185(constB193)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25350,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB193) | (~v185(constB193)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25351,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB193) | (~v185(constB193))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 79.46/51.34 tff(25352,plain,
% 79.46/51.34 (~v185(constB193)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25351, 11000, 25348])).
% 79.46/51.34 tff(25353,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25354,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25355,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2)),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25354, 25353])).
% 79.46/51.34 tff(25356,plain,
% 79.46/51.34 (v88(constB191, bitIndex2)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25355, 10735, 25061])).
% 79.46/51.34 tff(25357,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v140(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v140(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25358,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v140(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25359,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v140(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25358, 25357])).
% 79.46/51.34 tff(25360,plain,
% 79.46/51.34 (~v140(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25359, 10893, 25356])).
% 79.46/51.34 tff(25361,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25362,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25363,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0)),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25362, 25361])).
% 79.46/51.34 tff(25364,plain,
% 79.46/51.34 (v88(constB191, bitIndex0)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25363, 11313, 25126])).
% 79.46/51.34 tff(25365,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v139(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v139(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25366,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v139(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25367,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v139(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25366, 25365])).
% 79.46/51.34 tff(25368,plain,
% 79.46/51.34 (~v139(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25367, 11324, 25364])).
% 79.46/51.34 tff(25369,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v168(constB191)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB191) | v139(constB191) | (~v168(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25370,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v168(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25371,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB191) | v139(constB191) | (~v168(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25370, 25369])).
% 79.46/51.34 tff(25372,plain,
% 79.46/51.34 (~v168(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25371, 10907, 25368, 25360])).
% 79.46/51.34 tff(25373,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25374,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25375,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25374, 25373])).
% 79.46/51.34 tff(25376,plain,
% 79.46/51.34 (~v88(constB191, bitIndex1)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25375, 10918, 25095])).
% 79.46/51.34 tff(25377,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB191, bitIndex1) | (~v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex0)) | v147(constB191))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25378,plain,
% 79.46/51.34 (((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191)) <=> (v88(constB191, bitIndex1) | (~v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex0)) | v147(constB191))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25379,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB191, bitIndex1) | (~v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex0)) | v147(constB191)))),
% 79.46/51.34 inference(monotonicity,[status(thm)],[25378])).
% 79.46/51.34 tff(25380,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex0)) | v147(constB191))),
% 79.46/51.34 inference(transitivity,[status(thm)],[25379, 25377])).
% 79.46/51.34 tff(25381,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25382,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex2)) | (~v88(constB191, bitIndex0)) | v147(constB191)),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25381, 25380])).
% 79.46/51.34 tff(25383,plain,
% 79.46/51.34 (v147(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25382, 11353, 25364, 25356, 25376])).
% 79.46/51.34 tff(25384,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB191) | (~v147(constB191)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB191) | (~v147(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25385,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB191) | (~v147(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25386,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB191) | (~v147(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25385, 25384])).
% 79.46/51.34 tff(25387,plain,
% 79.46/51.34 (v145(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25386, 11368, 25383])).
% 79.46/51.34 tff(25388,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB191) | (~v145(constB191)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB191) | (~v145(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25389,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB191) | (~v145(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25390,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB191) | (~v145(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 79.46/51.34 tff(25391,plain,
% 79.46/51.34 (v226(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25390, 10961, 25387])).
% 79.46/51.34 tff(25392,plain,
% 79.46/51.34 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB191)) | (~v226(constB191)) | v168(constB191))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB191)) | (~v226(constB191)) | v168(constB191))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25393,plain,
% 79.46/51.34 ((v168(constB191) | (~v226(constB191)) | (~v161(constB191))) <=> ((~v161(constB191)) | (~v226(constB191)) | v168(constB191))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25394,plain,
% 79.46/51.34 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB191) | (~v226(constB191)) | (~v161(constB191)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB191)) | (~v226(constB191)) | v168(constB191)))),
% 79.46/51.34 inference(monotonicity,[status(thm)],[25393])).
% 79.46/51.34 tff(25395,plain,
% 79.46/51.34 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB191) | (~v226(constB191)) | (~v161(constB191)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB191)) | (~v226(constB191)) | v168(constB191))),
% 79.46/51.34 inference(transitivity,[status(thm)],[25394, 25392])).
% 79.46/51.34 tff(25396,plain,
% 79.46/51.34 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB191) | (~v226(constB191)) | (~v161(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25397,plain,
% 79.46/51.34 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB191)) | (~v226(constB191)) | v168(constB191)),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25396, 25395])).
% 79.46/51.34 tff(25398,plain,
% 79.46/51.34 (~v161(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25397, 10975, 25391, 25372])).
% 79.46/51.34 tff(25399,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB191) | (~v187(constB191)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB191) | (~v187(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25400,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB191) | (~v187(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25401,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB191) | (~v187(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 79.46/51.34 tff(25402,plain,
% 79.46/51.34 (~v187(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25401, 10989, 25398])).
% 79.46/51.34 tff(25403,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB191) | (~v185(constB191)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB191) | (~v185(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25404,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB191) | (~v185(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25405,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB191) | (~v185(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 79.46/51.34 tff(25406,plain,
% 79.46/51.34 (~v185(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25405, 11000, 25402])).
% 79.46/51.34 tff(25407,plain,
% 79.46/51.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB191)) | (~v181(constB191)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB191)) | (~v181(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25408,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB191)) | (~v181(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25409,plain,
% 79.46/51.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB191)) | (~v181(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25408, 25407])).
% 79.46/51.34 tff(25410,plain,
% 79.46/51.34 (~v181(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25409, 11059, 24354])).
% 79.46/51.34 tff(25411,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB191) | v185(constB191) | (~v178(constB191)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB191) | v185(constB191) | (~v178(constB191)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25412,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB191) | v185(constB191) | (~v178(constB191)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25413,plain,
% 79.46/51.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB191) | v185(constB191) | (~v178(constB191))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25412, 25411])).
% 79.46/51.34 tff(25414,plain,
% 79.46/51.34 (v185(constB191) | (~v178(constB191))),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25413, 11073, 25410])).
% 79.46/51.34 tff(25415,plain,
% 79.46/51.34 (~v178(constB191)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25414, 25406])).
% 79.46/51.34 tff(25416,plain,
% 79.46/51.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))),
% 79.46/51.34 inference(rewrite,[status(thm)],[])).
% 79.46/51.34 tff(25417,plain,
% 79.46/51.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))),
% 79.46/51.34 inference(quant_inst,[status(thm)],[])).
% 79.46/51.34 tff(25418,plain,
% 79.46/51.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192))),
% 79.46/51.34 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 79.46/51.34 tff(25419,plain,
% 79.46/51.34 (v178(constB191) | (~v180(constB192))),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25418, 11088, 24337])).
% 79.46/51.34 tff(25420,plain,
% 79.46/51.34 (~v180(constB192)),
% 79.46/51.34 inference(unit_resolution,[status(thm)],[25419, 25415])).
% 79.46/51.34 tff(25421,plain,
% 79.46/51.34 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB192) | (~v181(constB192)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB192) | (~v181(constB192)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25422,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB192) | (~v181(constB192)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25423,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB192) | (~v181(constB192))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 79.46/51.35 tff(25424,plain,
% 79.46/51.35 (~v181(constB192)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25423, 11100, 25420])).
% 79.46/51.35 tff(25425,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB192) | (~v187(constB192)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB192) | (~v187(constB192)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25426,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB192) | (~v187(constB192)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25427,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB192) | (~v187(constB192))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 79.46/51.35 tff(25428,plain,
% 79.46/51.35 (~v187(constB192)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25427, 11122, 24376])).
% 79.46/51.35 tff(25429,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB192) | (~v185(constB192)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB192) | (~v185(constB192)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25430,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB192) | (~v185(constB192)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25431,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB192) | (~v185(constB192))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25430, 25429])).
% 79.46/51.35 tff(25432,plain,
% 79.46/51.35 (~v185(constB192)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25431, 11000, 25428])).
% 79.46/51.35 tff(25433,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB192) | v185(constB192) | (~v178(constB192)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB192) | v185(constB192) | (~v178(constB192)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25434,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB192) | v185(constB192) | (~v178(constB192)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25435,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB192) | v185(constB192) | (~v178(constB192))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 79.46/51.35 tff(25436,plain,
% 79.46/51.35 (v181(constB192) | (~v178(constB192))),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25435, 11073, 25432])).
% 79.46/51.35 tff(25437,plain,
% 79.46/51.35 (~v178(constB192)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25436, 25424])).
% 79.46/51.35 tff(25438,plain,
% 79.46/51.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25439,plain,
% 79.46/51.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25440,plain,
% 79.46/51.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 79.46/51.35 tff(25441,plain,
% 79.46/51.35 (v178(constB192) | (~v180(constB193))),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25440, 11088, 24396])).
% 79.46/51.35 tff(25442,plain,
% 79.46/51.35 (~v180(constB193)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25441, 25437])).
% 79.46/51.35 tff(25443,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB193) | (~v181(constB193)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB193) | (~v181(constB193)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25444,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB193) | (~v181(constB193)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25445,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB193) | (~v181(constB193))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25444, 25443])).
% 79.46/51.35 tff(25446,plain,
% 79.46/51.35 (~v181(constB193)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25445, 11100, 25442])).
% 79.46/51.35 tff(25447,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB193) | v185(constB193) | (~v178(constB193)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB193) | v185(constB193) | (~v178(constB193)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25448,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB193) | v185(constB193) | (~v178(constB193)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25449,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB193) | v185(constB193) | (~v178(constB193))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25448, 25447])).
% 79.46/51.35 tff(25450,plain,
% 79.46/51.35 (v185(constB193) | (~v178(constB193))),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25449, 11073, 25446])).
% 79.46/51.35 tff(25451,plain,
% 79.46/51.35 (~v178(constB193)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25450, 25352])).
% 79.46/51.35 tff(25452,plain,
% 79.46/51.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25453,plain,
% 79.46/51.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25454,plain,
% 79.46/51.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25453, 25452])).
% 79.46/51.35 tff(25455,plain,
% 79.46/51.35 (v178(constB193) | (~v180(constB194))),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25454, 11088, 20947])).
% 79.46/51.35 tff(25456,plain,
% 79.46/51.35 (~v180(constB194)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25455, 25451])).
% 79.46/51.35 tff(25457,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB194) | (~v181(constB194)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB194) | (~v181(constB194)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25458,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB194) | (~v181(constB194)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25459,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB194) | (~v181(constB194))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25458, 25457])).
% 79.46/51.35 tff(25460,plain,
% 79.46/51.35 (~v181(constB194)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25459, 11100, 25456])).
% 79.46/51.35 tff(25461,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB194) | (~v187(constB194)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB194) | (~v187(constB194)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25462,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB194) | (~v187(constB194)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25463,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB194) | (~v187(constB194))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25462, 25461])).
% 79.46/51.35 tff(25464,plain,
% 79.46/51.35 (~v187(constB194)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25463, 11122, 24426])).
% 79.46/51.35 tff(25465,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB194) | (~v185(constB194)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB194) | (~v185(constB194)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25466,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB194) | (~v185(constB194)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25467,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB194) | (~v185(constB194))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25466, 25465])).
% 79.46/51.35 tff(25468,plain,
% 79.46/51.35 (~v185(constB194)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25467, 11000, 25464])).
% 79.46/51.35 tff(25469,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB194) | v185(constB194) | (~v178(constB194)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB194) | v185(constB194) | (~v178(constB194)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25470,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB194) | v185(constB194) | (~v178(constB194)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25471,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB194) | v185(constB194) | (~v178(constB194))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25470, 25469])).
% 79.46/51.35 tff(25472,plain,
% 79.46/51.35 (v181(constB194) | (~v178(constB194))),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25471, 11073, 25468])).
% 79.46/51.35 tff(25473,plain,
% 79.46/51.35 (~v178(constB194)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25472, 25460])).
% 79.46/51.35 tff(25474,plain,
% 79.46/51.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25475,plain,
% 79.46/51.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25476,plain,
% 79.46/51.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 79.46/51.35 tff(25477,plain,
% 79.46/51.35 (v178(constB194) | (~v180(constB195))),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25476, 11088, 24449])).
% 79.46/51.35 tff(25478,plain,
% 79.46/51.35 (~v180(constB195)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25477, 25473])).
% 79.46/51.35 tff(25479,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB195) | (~v293(constB195)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB195) | (~v293(constB195)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25480,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB195) | (~v293(constB195)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25481,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB195) | (~v293(constB195))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25480, 25479])).
% 79.46/51.35 tff(25482,plain,
% 79.46/51.35 (~v293(constB195)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25481, 11437, 25478])).
% 79.46/51.35 tff(25483,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB193) | (~v215(constB193)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB193) | (~v215(constB193)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25484,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB193) | (~v215(constB193)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25485,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB193) | (~v215(constB193))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 79.46/51.35 tff(25486,plain,
% 79.46/51.35 (~v215(constB193)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25485, 11147, 25442])).
% 79.46/51.35 tff(25487,plain,
% 79.46/51.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25488,plain,
% 79.46/51.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25489,plain,
% 79.46/51.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2)),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25488, 25487])).
% 79.46/51.35 tff(25490,plain,
% 79.46/51.35 (v88(constB189, bitIndex2)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25489, 10735, 24890])).
% 79.46/51.35 tff(25491,plain,
% 79.46/51.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v139(constB189)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v139(constB189)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25492,plain,
% 79.46/51.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v139(constB189)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25493,plain,
% 79.46/51.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v139(constB189))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 79.46/51.35 tff(25494,plain,
% 79.46/51.35 (~v139(constB189)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25493, 10882, 25490])).
% 79.46/51.35 tff(25495,plain,
% 79.46/51.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v140(constB189)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v140(constB189)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25496,plain,
% 79.46/51.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v140(constB189)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25497,plain,
% 79.46/51.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v140(constB189))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 79.46/51.35 tff(25498,plain,
% 79.46/51.35 (~v140(constB189)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25497, 10893, 25490])).
% 79.46/51.35 tff(25499,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v168(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB189) | v139(constB189) | (~v168(constB189)))),
% 79.46/51.35 inference(rewrite,[status(thm)],[])).
% 79.46/51.35 tff(25500,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v168(constB189)))),
% 79.46/51.35 inference(quant_inst,[status(thm)],[])).
% 79.46/51.35 tff(25501,plain,
% 79.46/51.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB189) | v139(constB189) | (~v168(constB189))),
% 79.46/51.35 inference(modus_ponens,[status(thm)],[25500, 25499])).
% 79.46/51.35 tff(25502,plain,
% 79.46/51.35 (~v168(constB189)),
% 79.46/51.35 inference(unit_resolution,[status(thm)],[25501, 10907, 25498, 25494])).
% 79.46/51.35 tff(25503,plain,
% 79.46/51.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25504,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25505,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25504, 25503])).
% 79.46/51.36 tff(25506,plain,
% 79.46/51.36 (~v88(constB189, bitIndex1)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25505, 10918, 24924])).
% 79.46/51.36 tff(25507,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25508,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25509,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25508, 25507])).
% 79.46/51.36 tff(25510,plain,
% 79.46/51.36 (~v88(constB189, bitIndex0)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25509, 10755, 24958])).
% 79.46/51.36 tff(25511,plain,
% 79.46/51.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0) | v146(constB189))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0) | v146(constB189))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25512,plain,
% 79.46/51.36 (((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189)) <=> (v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0) | v146(constB189))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25513,plain,
% 79.46/51.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0) | v146(constB189)))),
% 79.46/51.36 inference(monotonicity,[status(thm)],[25512])).
% 79.46/51.36 tff(25514,plain,
% 79.46/51.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0) | v146(constB189))),
% 79.46/51.36 inference(transitivity,[status(thm)],[25513, 25511])).
% 79.46/51.36 tff(25515,plain,
% 79.46/51.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25516,plain,
% 79.46/51.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0) | v146(constB189)),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25515, 25514])).
% 79.46/51.36 tff(25517,plain,
% 79.46/51.36 (v146(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25516, 10936, 25490, 25510, 25506])).
% 79.46/51.36 tff(25518,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB189) | (~v146(constB189)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB189) | (~v146(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25519,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB189) | (~v146(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25520,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB189) | (~v146(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25519, 25518])).
% 79.46/51.36 tff(25521,plain,
% 79.46/51.36 (v145(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25520, 10950, 25517])).
% 79.46/51.36 tff(25522,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB189) | (~v145(constB189)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB189) | (~v145(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25523,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB189) | (~v145(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25524,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB189) | (~v145(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25523, 25522])).
% 79.46/51.36 tff(25525,plain,
% 79.46/51.36 (v226(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25524, 10961, 25521])).
% 79.46/51.36 tff(25526,plain,
% 79.46/51.36 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB189)) | v168(constB189) | (~v226(constB189)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB189)) | v168(constB189) | (~v226(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25527,plain,
% 79.46/51.36 ((v168(constB189) | (~v226(constB189)) | (~v161(constB189))) <=> ((~v161(constB189)) | v168(constB189) | (~v226(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25528,plain,
% 79.46/51.36 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB189) | (~v226(constB189)) | (~v161(constB189)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB189)) | v168(constB189) | (~v226(constB189))))),
% 79.46/51.36 inference(monotonicity,[status(thm)],[25527])).
% 79.46/51.36 tff(25529,plain,
% 79.46/51.36 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB189) | (~v226(constB189)) | (~v161(constB189)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB189)) | v168(constB189) | (~v226(constB189)))),
% 79.46/51.36 inference(transitivity,[status(thm)],[25528, 25526])).
% 79.46/51.36 tff(25530,plain,
% 79.46/51.36 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB189) | (~v226(constB189)) | (~v161(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25531,plain,
% 79.46/51.36 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB189)) | v168(constB189) | (~v226(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25530, 25529])).
% 79.46/51.36 tff(25532,plain,
% 79.46/51.36 (~v161(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25531, 10975, 25525, 25502])).
% 79.46/51.36 tff(25533,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB189) | (~v187(constB189)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB189) | (~v187(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25534,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB189) | (~v187(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25535,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB189) | (~v187(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25534, 25533])).
% 79.46/51.36 tff(25536,plain,
% 79.46/51.36 (~v187(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25535, 10989, 25532])).
% 79.46/51.36 tff(25537,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB189) | (~v185(constB189)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB189) | (~v185(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25538,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB189) | (~v185(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25539,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB189) | (~v185(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25538, 25537])).
% 79.46/51.36 tff(25540,plain,
% 79.46/51.36 (~v185(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25539, 11000, 25536])).
% 79.46/51.36 tff(25541,plain,
% 79.46/51.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB189)) | (~v181(constB189)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB189)) | (~v181(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25542,plain,
% 79.46/51.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB189)) | (~v181(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25543,plain,
% 79.46/51.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB189)) | (~v181(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25542, 25541])).
% 79.46/51.36 tff(25544,plain,
% 79.46/51.36 (~v181(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25543, 11059, 24263])).
% 79.46/51.36 tff(25545,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB189) | v185(constB189) | (~v178(constB189)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB189) | v185(constB189) | (~v178(constB189)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25546,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB189) | v185(constB189) | (~v178(constB189)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25547,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB189) | v185(constB189) | (~v178(constB189))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 79.46/51.36 tff(25548,plain,
% 79.46/51.36 (v185(constB189) | (~v178(constB189))),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25547, 11073, 25544])).
% 79.46/51.36 tff(25549,plain,
% 79.46/51.36 (~v178(constB189)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25548, 25540])).
% 79.46/51.36 tff(25550,plain,
% 79.46/51.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25551,plain,
% 79.46/51.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25552,plain,
% 79.46/51.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 79.46/51.36 tff(25553,plain,
% 79.46/51.36 (v178(constB189) | (~v180(constB190))),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25552, 11088, 24246])).
% 79.46/51.36 tff(25554,plain,
% 79.46/51.36 (~v180(constB190)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25553, 25549])).
% 79.46/51.36 tff(25555,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB190) | (~v181(constB190)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB190) | (~v181(constB190)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25556,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB190) | (~v181(constB190)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25557,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB190) | (~v181(constB190))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 79.46/51.36 tff(25558,plain,
% 79.46/51.36 (~v181(constB190)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25557, 11100, 25554])).
% 79.46/51.36 tff(25559,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB190) | (~v187(constB190)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB190) | (~v187(constB190)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25560,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB190) | (~v187(constB190)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25561,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB190) | (~v187(constB190))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25560, 25559])).
% 79.46/51.36 tff(25562,plain,
% 79.46/51.36 (~v187(constB190)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25561, 11122, 24285])).
% 79.46/51.36 tff(25563,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB190) | (~v185(constB190)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB190) | (~v185(constB190)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25564,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB190) | (~v185(constB190)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25565,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB190) | (~v185(constB190))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25564, 25563])).
% 79.46/51.36 tff(25566,plain,
% 79.46/51.36 (~v185(constB190)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25565, 11000, 25562])).
% 79.46/51.36 tff(25567,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB190) | v185(constB190) | (~v178(constB190)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB190) | v185(constB190) | (~v178(constB190)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25568,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB190) | v185(constB190) | (~v178(constB190)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25569,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB190) | v185(constB190) | (~v178(constB190))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 79.46/51.36 tff(25570,plain,
% 79.46/51.36 (v181(constB190) | (~v178(constB190))),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25569, 11073, 25566])).
% 79.46/51.36 tff(25571,plain,
% 79.46/51.36 (~v178(constB190)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25570, 25558])).
% 79.46/51.36 tff(25572,plain,
% 79.46/51.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25573,plain,
% 79.46/51.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25574,plain,
% 79.46/51.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25573, 25572])).
% 79.46/51.36 tff(25575,plain,
% 79.46/51.36 (v178(constB190) | (~v180(constB191))),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25574, 11088, 24305])).
% 79.46/51.36 tff(25576,plain,
% 79.46/51.36 (~v180(constB191)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25575, 25571])).
% 79.46/51.36 tff(25577,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB191) | (~v215(constB191)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB191) | (~v215(constB191)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25578,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB191) | (~v215(constB191)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25579,plain,
% 79.46/51.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB191) | (~v215(constB191))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25578, 25577])).
% 79.46/51.36 tff(25580,plain,
% 79.46/51.36 (~v215(constB191)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25579, 11147, 25576])).
% 79.46/51.36 tff(25581,plain,
% 79.46/51.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB191)) | (~v214(constB191)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB191)) | (~v214(constB191)))),
% 79.46/51.36 inference(rewrite,[status(thm)],[])).
% 79.46/51.36 tff(25582,plain,
% 79.46/51.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB191)) | (~v214(constB191)))),
% 79.46/51.36 inference(quant_inst,[status(thm)],[])).
% 79.46/51.36 tff(25583,plain,
% 79.46/51.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB191)) | (~v214(constB191))),
% 79.46/51.36 inference(modus_ponens,[status(thm)],[25582, 25581])).
% 79.46/51.36 tff(25584,plain,
% 79.46/51.36 (~v214(constB191)),
% 79.46/51.36 inference(unit_resolution,[status(thm)],[25583, 11189, 24354])).
% 79.46/51.36 tff(25585,plain,
% 79.46/51.36 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB191) | v215(constB191) | (~v211(constB191)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB191) | v215(constB191) | (~v211(constB191)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25586,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB191) | v215(constB191) | (~v211(constB191)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25587,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB191) | v215(constB191) | (~v211(constB191))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 79.46/51.37 tff(25588,plain,
% 79.46/51.37 (v215(constB191) | (~v211(constB191))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25587, 11203, 25584])).
% 79.46/51.37 tff(25589,plain,
% 79.46/51.37 (~v211(constB191)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25588, 25580])).
% 79.46/51.37 tff(25590,plain,
% 79.46/51.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25591,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25592,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25591, 25590])).
% 79.46/51.37 tff(25593,plain,
% 79.46/51.37 (v211(constB191) | (~v213(constB192))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25592, 11218, 24337])).
% 79.46/51.37 tff(25594,plain,
% 79.46/51.37 (~v213(constB192)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25593, 25589])).
% 79.46/51.37 tff(25595,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB192) | (~v214(constB192)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB192) | (~v214(constB192)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25596,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB192) | (~v214(constB192)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25597,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB192) | (~v214(constB192))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 79.46/51.37 tff(25598,plain,
% 79.46/51.37 (~v214(constB192)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25597, 11230, 25594])).
% 79.46/51.37 tff(25599,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB192) | (~v217(constB192)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB192) | (~v217(constB192)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25600,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB192) | (~v217(constB192)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25601,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB192) | (~v217(constB192))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 79.46/51.37 tff(25602,plain,
% 79.46/51.37 (~v217(constB192)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25601, 11245, 24376])).
% 79.46/51.37 tff(25603,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB192) | (~v216(constB192)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB192) | (~v216(constB192)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25604,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB192) | (~v216(constB192)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25605,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB192) | (~v216(constB192))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 79.46/51.37 tff(25606,plain,
% 79.46/51.37 (~v216(constB192)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25605, 11256, 25602])).
% 79.46/51.37 tff(25607,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB192) | (~v215(constB192)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB192) | (~v215(constB192)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25608,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB192) | (~v215(constB192)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25609,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB192) | (~v215(constB192))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 79.46/51.37 tff(25610,plain,
% 79.46/51.37 (~v215(constB192)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25609, 11267, 25606])).
% 79.46/51.37 tff(25611,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB192) | v215(constB192) | (~v211(constB192)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB192) | v215(constB192) | (~v211(constB192)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25612,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB192) | v215(constB192) | (~v211(constB192)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25613,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB192) | v215(constB192) | (~v211(constB192))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25612, 25611])).
% 79.46/51.37 tff(25614,plain,
% 79.46/51.37 (v214(constB192) | (~v211(constB192))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25613, 11203, 25610])).
% 79.46/51.37 tff(25615,plain,
% 79.46/51.37 (~v211(constB192)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25614, 25598])).
% 79.46/51.37 tff(25616,plain,
% 79.46/51.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25617,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25618,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25617, 25616])).
% 79.46/51.37 tff(25619,plain,
% 79.46/51.37 (v211(constB192) | (~v213(constB193))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25618, 11218, 24396])).
% 79.46/51.37 tff(25620,plain,
% 79.46/51.37 (~v213(constB193)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25619, 25615])).
% 79.46/51.37 tff(25621,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB193) | (~v214(constB193)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB193) | (~v214(constB193)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25622,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB193) | (~v214(constB193)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25623,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB193) | (~v214(constB193))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25622, 25621])).
% 79.46/51.37 tff(25624,plain,
% 79.46/51.37 (~v214(constB193)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25623, 11230, 25620])).
% 79.46/51.37 tff(25625,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB193) | v215(constB193) | (~v211(constB193)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB193) | v215(constB193) | (~v211(constB193)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25626,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB193) | v215(constB193) | (~v211(constB193)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25627,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB193) | v215(constB193) | (~v211(constB193))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 79.46/51.37 tff(25628,plain,
% 79.46/51.37 (v215(constB193) | (~v211(constB193))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25627, 11203, 25624])).
% 79.46/51.37 tff(25629,plain,
% 79.46/51.37 (~v211(constB193)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25628, 25486])).
% 79.46/51.37 tff(25630,plain,
% 79.46/51.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB193, constB194)) | v211(constB193) | (~v213(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB193, constB194)) | v211(constB193) | (~v213(constB194)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25631,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB193, constB194)) | v211(constB193) | (~v213(constB194)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25632,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB193, constB194)) | v211(constB193) | (~v213(constB194))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25631, 25630])).
% 79.46/51.37 tff(25633,plain,
% 79.46/51.37 (v211(constB193) | (~v213(constB194))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25632, 11218, 20947])).
% 79.46/51.37 tff(25634,plain,
% 79.46/51.37 (~v213(constB194)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25633, 25629])).
% 79.46/51.37 tff(25635,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB194) | (~v214(constB194)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB194) | (~v214(constB194)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25636,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB194) | (~v214(constB194)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25637,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB194) | (~v214(constB194))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 79.46/51.37 tff(25638,plain,
% 79.46/51.37 (~v214(constB194)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25637, 11230, 25634])).
% 79.46/51.37 tff(25639,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB194) | (~v217(constB194)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB194) | (~v217(constB194)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25640,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB194) | (~v217(constB194)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25641,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB194) | (~v217(constB194))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25640, 25639])).
% 79.46/51.37 tff(25642,plain,
% 79.46/51.37 (~v217(constB194)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25641, 11245, 24426])).
% 79.46/51.37 tff(25643,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB194) | (~v216(constB194)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB194) | (~v216(constB194)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25644,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB194) | (~v216(constB194)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25645,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB194) | (~v216(constB194))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25644, 25643])).
% 79.46/51.37 tff(25646,plain,
% 79.46/51.37 (~v216(constB194)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25645, 11256, 25642])).
% 79.46/51.37 tff(25647,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB194) | (~v215(constB194)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB194) | (~v215(constB194)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25648,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB194) | (~v215(constB194)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25649,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB194) | (~v215(constB194))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25648, 25647])).
% 79.46/51.37 tff(25650,plain,
% 79.46/51.37 (~v215(constB194)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25649, 11267, 25646])).
% 79.46/51.37 tff(25651,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB194) | v215(constB194) | (~v211(constB194)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB194) | v215(constB194) | (~v211(constB194)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25652,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB194) | v215(constB194) | (~v211(constB194)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25653,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB194) | v215(constB194) | (~v211(constB194))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25652, 25651])).
% 79.46/51.37 tff(25654,plain,
% 79.46/51.37 (v214(constB194) | (~v211(constB194))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25653, 11203, 25650])).
% 79.46/51.37 tff(25655,plain,
% 79.46/51.37 (~v211(constB194)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25654, 25638])).
% 79.46/51.37 tff(25656,plain,
% 79.46/51.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB194, constB195)) | v211(constB194) | (~v213(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB194, constB195)) | v211(constB194) | (~v213(constB195)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25657,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB194, constB195)) | v211(constB194) | (~v213(constB195)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25658,plain,
% 79.46/51.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB194, constB195)) | v211(constB194) | (~v213(constB195))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 79.46/51.37 tff(25659,plain,
% 79.46/51.37 (v211(constB194) | (~v213(constB195))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25658, 11218, 24449])).
% 79.46/51.37 tff(25660,plain,
% 79.46/51.37 (~v213(constB195)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25659, 25655])).
% 79.46/51.37 tff(25661,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB195) | (~v297(constB195)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB195) | (~v297(constB195)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25662,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB195) | (~v297(constB195)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25663,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB195) | (~v297(constB195))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25662, 25661])).
% 79.46/51.37 tff(25664,plain,
% 79.46/51.37 (~v297(constB195)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25663, 11288, 25660])).
% 79.46/51.37 tff(25665,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB195) | v297(constB195) | (~v292(constB195)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB195) | v297(constB195) | (~v292(constB195)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25666,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB195) | v297(constB195) | (~v292(constB195)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25667,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB195) | v297(constB195) | (~v292(constB195))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 79.46/51.37 tff(25668,plain,
% 79.46/51.37 (v293(constB195) | (~v292(constB195))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25667, 11451, 25664])).
% 79.46/51.37 tff(25669,plain,
% 79.46/51.37 (~v292(constB195)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25668, 25482])).
% 79.46/51.37 tff(25670,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB193) | (~v245(constB193)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB193) | (~v245(constB193)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25671,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB193) | (~v245(constB193)))),
% 79.46/51.37 inference(quant_inst,[status(thm)],[])).
% 79.46/51.37 tff(25672,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB193) | (~v245(constB193))),
% 79.46/51.37 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 79.46/51.37 tff(25673,plain,
% 79.46/51.37 (~v245(constB193)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25672, 11683, 25620])).
% 79.46/51.37 tff(25674,plain,
% 79.46/51.37 (v117(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24607, 1183, 24603])).
% 79.46/51.37 tff(25675,plain,
% 79.46/51.37 (v116(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24611, 508, 25674])).
% 79.46/51.37 tff(25676,plain,
% 79.46/51.37 (v115(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24615, 519, 25675])).
% 79.46/51.37 tff(25677,plain,
% 79.46/51.37 (v114(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24619, 530, 25676])).
% 79.46/51.37 tff(25678,plain,
% 79.46/51.37 (v113(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24623, 541, 25677])).
% 79.46/51.37 tff(25679,plain,
% 79.46/51.37 (v112(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24632, 25678])).
% 79.46/51.37 tff(25680,plain,
% 79.46/51.37 (v108(constB185)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24636, 464, 25679])).
% 79.46/51.37 tff(25681,plain,
% 79.46/51.37 (v110(constB186)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24644, 25680])).
% 79.46/51.37 tff(25682,plain,
% 79.46/51.37 (v100(constB186)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24667, 25681])).
% 79.46/51.37 tff(25683,plain,
% 79.46/51.37 (~v130(constB185, bitIndex2)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24671, 1259, 24603])).
% 79.46/51.37 tff(25684,plain,
% 79.46/51.37 (~v127(constB185, bitIndex2)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24679, 25683])).
% 79.46/51.37 tff(25685,plain,
% 79.46/51.37 (~v129(constB186, bitIndex2)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24684, 25684])).
% 79.46/51.37 tff(25686,plain,
% 79.46/51.37 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24691, 655, 25685])).
% 79.46/51.37 tff(25687,plain,
% 79.46/51.37 (~v90(constB186, bitIndex2)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[25686, 25682])).
% 79.46/51.37 tff(25688,plain,
% 79.46/51.37 (~v90(constB187, bitIndex2)),
% 79.46/51.37 inference(unit_resolution,[status(thm)],[24713, 25687])).
% 79.46/51.37 tff(25689,plain,
% 79.46/51.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 79.46/51.37 inference(rewrite,[status(thm)],[])).
% 79.46/51.37 tff(25690,plain,
% 79.46/51.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25691,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25690, 25689])).
% 79.46/51.38 tff(25692,plain,
% 79.46/51.38 (~v88(constB187, bitIndex2)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25691, 11467, 25688])).
% 79.46/51.38 tff(25693,plain,
% 79.46/51.38 (v130(constB185, bitIndex1)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24748, 1321, 24603])).
% 79.46/51.38 tff(25694,plain,
% 79.46/51.38 (v127(constB185, bitIndex1)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24753, 25693])).
% 79.46/51.38 tff(25695,plain,
% 79.46/51.38 (v129(constB186, bitIndex1)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24758, 25694])).
% 79.46/51.38 tff(25696,plain,
% 79.46/51.38 (v90(constB186, bitIndex1) | (~v100(constB186))),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24765, 1061, 25695])).
% 79.46/51.38 tff(25697,plain,
% 79.46/51.38 (v90(constB186, bitIndex1)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25696, 25682])).
% 79.46/51.38 tff(25698,plain,
% 79.46/51.38 (v90(constB187, bitIndex1)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24775, 25697])).
% 79.46/51.38 tff(25699,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25700,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25701,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1)),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25700, 25699])).
% 79.46/51.38 tff(25702,plain,
% 79.46/51.38 (v88(constB187, bitIndex1)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25701, 10690, 25698])).
% 79.46/51.38 tff(25703,plain,
% 79.46/51.38 (v130(constB185, bitIndex0)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24717, 1362, 24603])).
% 79.46/51.38 tff(25704,plain,
% 79.46/51.38 (v127(constB185, bitIndex0)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24722, 25703])).
% 79.46/51.38 tff(25705,plain,
% 79.46/51.38 (v129(constB186, bitIndex0)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24727, 25704])).
% 79.46/51.38 tff(25706,plain,
% 79.46/51.38 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24734, 818, 25705])).
% 79.46/51.38 tff(25707,plain,
% 79.46/51.38 (v90(constB186, bitIndex0)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25706, 25682])).
% 79.46/51.38 tff(25708,plain,
% 79.46/51.38 (v90(constB187, bitIndex0)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[24744, 25707])).
% 79.46/51.38 tff(25709,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25710,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25711,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0)),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25710, 25709])).
% 79.46/51.38 tff(25712,plain,
% 79.46/51.38 (v88(constB187, bitIndex0)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25711, 11313, 25708])).
% 79.46/51.38 tff(25713,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25714,plain,
% 79.46/51.38 ((v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187)) <=> ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25715,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187)))),
% 79.46/51.38 inference(monotonicity,[status(thm)],[25714])).
% 79.46/51.38 tff(25716,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 79.46/51.38 inference(transitivity,[status(thm)],[25715, 25713])).
% 79.46/51.38 tff(25717,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25718,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187)),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 79.46/51.38 tff(25719,plain,
% 79.46/51.38 (v141(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25718, 11485, 25712, 25702, 25692])).
% 79.46/51.38 tff(25720,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB187) | (~v141(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25721,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB187) | (~v141(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25722,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB187) | (~v141(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25721, 25720])).
% 79.46/51.38 tff(25723,plain,
% 79.46/51.38 (v228(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25722, 11500, 25719])).
% 79.46/51.38 tff(25724,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB187) | (~v228(constB187)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB187) | (~v228(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25725,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB187) | (~v228(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25726,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB187) | (~v228(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25725, 25724])).
% 79.46/51.38 tff(25727,plain,
% 79.46/51.38 (v227(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25726, 11511, 25723])).
% 79.46/51.38 tff(25728,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB187) | (~v227(constB187)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB187) | (~v227(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25729,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB187) | (~v227(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25730,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB187) | (~v227(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25729, 25728])).
% 79.46/51.38 tff(25731,plain,
% 79.46/51.38 (v226(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25730, 10817, 25727])).
% 79.46/51.38 tff(25732,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB187, bitIndex1)) | (~v140(constB187)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB187, bitIndex1)) | (~v140(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25733,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB187, bitIndex1)) | (~v140(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25734,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB187, bitIndex1)) | (~v140(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25733, 25732])).
% 79.46/51.38 tff(25735,plain,
% 79.46/51.38 (~v140(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25734, 11526, 25702])).
% 79.46/51.38 tff(25736,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB187)) | (~v88(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB187)) | (~v88(constB187, bitIndex0)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25737,plain,
% 79.46/51.38 (((~v88(constB187, bitIndex0)) | (~v139(constB187))) <=> ((~v139(constB187)) | (~v88(constB187, bitIndex0)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25738,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB187, bitIndex0)) | (~v139(constB187)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB187)) | (~v88(constB187, bitIndex0))))),
% 79.46/51.38 inference(monotonicity,[status(thm)],[25737])).
% 79.46/51.38 tff(25739,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB187, bitIndex0)) | (~v139(constB187)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB187)) | (~v88(constB187, bitIndex0)))),
% 79.46/51.38 inference(transitivity,[status(thm)],[25738, 25736])).
% 79.46/51.38 tff(25740,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB187, bitIndex0)) | (~v139(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25741,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB187)) | (~v88(constB187, bitIndex0))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25740, 25739])).
% 79.46/51.38 tff(25742,plain,
% 79.46/51.38 (~v139(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25741, 11324, 25712])).
% 79.46/51.38 tff(25743,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB187) | v139(constB187) | (~v168(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25744,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25745,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB187) | v139(constB187) | (~v168(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25744, 25743])).
% 79.46/51.38 tff(25746,plain,
% 79.46/51.38 (~v168(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25745, 10907, 25742, 25735])).
% 79.46/51.38 tff(25747,plain,
% 79.46/51.38 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB187)) | (~v226(constB187)) | v168(constB187))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB187)) | (~v226(constB187)) | v168(constB187))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25748,plain,
% 79.46/51.38 ((v168(constB187) | (~v226(constB187)) | (~v161(constB187))) <=> ((~v161(constB187)) | (~v226(constB187)) | v168(constB187))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25749,plain,
% 79.46/51.38 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB187) | (~v226(constB187)) | (~v161(constB187)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB187)) | (~v226(constB187)) | v168(constB187)))),
% 79.46/51.38 inference(monotonicity,[status(thm)],[25748])).
% 79.46/51.38 tff(25750,plain,
% 79.46/51.38 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB187) | (~v226(constB187)) | (~v161(constB187)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB187)) | (~v226(constB187)) | v168(constB187))),
% 79.46/51.38 inference(transitivity,[status(thm)],[25749, 25747])).
% 79.46/51.38 tff(25751,plain,
% 79.46/51.38 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB187) | (~v226(constB187)) | (~v161(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25752,plain,
% 79.46/51.38 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB187)) | (~v226(constB187)) | v168(constB187)),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 79.46/51.38 tff(25753,plain,
% 79.46/51.38 ((~v161(constB187)) | (~v226(constB187))),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25752, 10975, 25746])).
% 79.46/51.38 tff(25754,plain,
% 79.46/51.38 (~v161(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25753, 25731])).
% 79.46/51.38 tff(25755,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB187) | (~v187(constB187)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB187) | (~v187(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25756,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB187) | (~v187(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25757,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB187) | (~v187(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 79.46/51.38 tff(25758,plain,
% 79.46/51.38 (~v187(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25757, 10989, 25754])).
% 79.46/51.38 tff(25759,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB187) | (~v185(constB187)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB187) | (~v185(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25760,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB187) | (~v185(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25761,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB187) | (~v185(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 79.46/51.38 tff(25762,plain,
% 79.46/51.38 (~v185(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25761, 11000, 25758])).
% 79.46/51.38 tff(25763,plain,
% 79.46/51.38 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB187)) | (~v181(constB187)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB187)) | (~v181(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25764,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB187)) | (~v181(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.38 tff(25765,plain,
% 79.46/51.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB187)) | (~v181(constB187))),
% 79.46/51.38 inference(modus_ponens,[status(thm)],[25764, 25763])).
% 79.46/51.38 tff(25766,plain,
% 79.46/51.38 (~v181(constB187)),
% 79.46/51.38 inference(unit_resolution,[status(thm)],[25765, 11059, 24172])).
% 79.46/51.38 tff(25767,plain,
% 79.46/51.38 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB187) | v185(constB187) | (~v178(constB187)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB187) | v185(constB187) | (~v178(constB187)))),
% 79.46/51.38 inference(rewrite,[status(thm)],[])).
% 79.46/51.38 tff(25768,plain,
% 79.46/51.38 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB187) | v185(constB187) | (~v178(constB187)))),
% 79.46/51.38 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25769,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB187) | v185(constB187) | (~v178(constB187))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 79.46/51.39 tff(25770,plain,
% 79.46/51.39 (v185(constB187) | (~v178(constB187))),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25769, 11073, 25766])).
% 79.46/51.39 tff(25771,plain,
% 79.46/51.39 (~v178(constB187)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25770, 25762])).
% 79.46/51.39 tff(25772,plain,
% 79.46/51.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25773,plain,
% 79.46/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25774,plain,
% 79.46/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 79.46/51.39 tff(25775,plain,
% 79.46/51.39 (v178(constB187) | (~v180(constB188))),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25774, 11088, 24155])).
% 79.46/51.39 tff(25776,plain,
% 79.46/51.39 (~v180(constB188)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25775, 25771])).
% 79.46/51.39 tff(25777,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB188) | (~v181(constB188)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB188) | (~v181(constB188)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25778,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB188) | (~v181(constB188)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25779,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB188) | (~v181(constB188))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25778, 25777])).
% 79.46/51.39 tff(25780,plain,
% 79.46/51.39 (~v181(constB188)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25779, 11100, 25776])).
% 79.46/51.39 tff(25781,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB188) | (~v187(constB188)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB188) | (~v187(constB188)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25782,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB188) | (~v187(constB188)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25783,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB188) | (~v187(constB188))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 79.46/51.39 tff(25784,plain,
% 79.46/51.39 (~v187(constB188)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25783, 11122, 24194])).
% 79.46/51.39 tff(25785,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB188) | (~v185(constB188)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB188) | (~v185(constB188)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25786,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB188) | (~v185(constB188)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25787,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB188) | (~v185(constB188))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25786, 25785])).
% 79.46/51.39 tff(25788,plain,
% 79.46/51.39 (~v185(constB188)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25787, 11000, 25784])).
% 79.46/51.39 tff(25789,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB188) | v185(constB188) | (~v178(constB188)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB188) | v185(constB188) | (~v178(constB188)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25790,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB188) | v185(constB188) | (~v178(constB188)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25791,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB188) | v185(constB188) | (~v178(constB188))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25790, 25789])).
% 79.46/51.39 tff(25792,plain,
% 79.46/51.39 (v181(constB188) | (~v178(constB188))),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25791, 11073, 25788])).
% 79.46/51.39 tff(25793,plain,
% 79.46/51.39 (~v178(constB188)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25792, 25780])).
% 79.46/51.39 tff(25794,plain,
% 79.46/51.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25795,plain,
% 79.46/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25796,plain,
% 79.46/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25795, 25794])).
% 79.46/51.39 tff(25797,plain,
% 79.46/51.39 (v178(constB188) | (~v180(constB189))),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25796, 11088, 24214])).
% 79.46/51.39 tff(25798,plain,
% 79.46/51.39 (~v180(constB189)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25797, 25793])).
% 79.46/51.39 tff(25799,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB189) | (~v215(constB189)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB189) | (~v215(constB189)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25800,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB189) | (~v215(constB189)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25801,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB189) | (~v215(constB189))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 79.46/51.39 tff(25802,plain,
% 79.46/51.39 (~v215(constB189)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25801, 11147, 25798])).
% 79.46/51.39 tff(25803,plain,
% 79.46/51.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB189)) | (~v214(constB189)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB189)) | (~v214(constB189)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25804,plain,
% 79.46/51.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB189)) | (~v214(constB189)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25805,plain,
% 79.46/51.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB189)) | (~v214(constB189))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25804, 25803])).
% 79.46/51.39 tff(25806,plain,
% 79.46/51.39 (~v214(constB189)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25805, 11189, 24263])).
% 79.46/51.39 tff(25807,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB189) | v215(constB189) | (~v211(constB189)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB189) | v215(constB189) | (~v211(constB189)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25808,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB189) | v215(constB189) | (~v211(constB189)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25809,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB189) | v215(constB189) | (~v211(constB189))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 79.46/51.39 tff(25810,plain,
% 79.46/51.39 (v215(constB189) | (~v211(constB189))),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25809, 11203, 25806])).
% 79.46/51.39 tff(25811,plain,
% 79.46/51.39 (~v211(constB189)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25810, 25802])).
% 79.46/51.39 tff(25812,plain,
% 79.46/51.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25813,plain,
% 79.46/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25814,plain,
% 79.46/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25813, 25812])).
% 79.46/51.39 tff(25815,plain,
% 79.46/51.39 (v211(constB189) | (~v213(constB190))),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25814, 11218, 24246])).
% 79.46/51.39 tff(25816,plain,
% 79.46/51.39 (~v213(constB190)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25815, 25811])).
% 79.46/51.39 tff(25817,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB190) | (~v214(constB190)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB190) | (~v214(constB190)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25818,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB190) | (~v214(constB190)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25819,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB190) | (~v214(constB190))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25818, 25817])).
% 79.46/51.39 tff(25820,plain,
% 79.46/51.39 (~v214(constB190)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25819, 11230, 25816])).
% 79.46/51.39 tff(25821,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB190) | (~v217(constB190)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB190) | (~v217(constB190)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25822,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB190) | (~v217(constB190)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25823,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB190) | (~v217(constB190))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 79.46/51.39 tff(25824,plain,
% 79.46/51.39 (~v217(constB190)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25823, 11245, 24285])).
% 79.46/51.39 tff(25825,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB190) | (~v216(constB190)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB190) | (~v216(constB190)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25826,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB190) | (~v216(constB190)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25827,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB190) | (~v216(constB190))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25826, 25825])).
% 79.46/51.39 tff(25828,plain,
% 79.46/51.39 (~v216(constB190)),
% 79.46/51.39 inference(unit_resolution,[status(thm)],[25827, 11256, 25824])).
% 79.46/51.39 tff(25829,plain,
% 79.46/51.39 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB190) | (~v215(constB190)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB190) | (~v215(constB190)))),
% 79.46/51.39 inference(rewrite,[status(thm)],[])).
% 79.46/51.39 tff(25830,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB190) | (~v215(constB190)))),
% 79.46/51.39 inference(quant_inst,[status(thm)],[])).
% 79.46/51.39 tff(25831,plain,
% 79.46/51.39 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB190) | (~v215(constB190))),
% 79.46/51.39 inference(modus_ponens,[status(thm)],[25830, 25829])).
% 79.56/51.39 tff(25832,plain,
% 79.56/51.39 (~v215(constB190)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25831, 11267, 25828])).
% 79.56/51.39 tff(25833,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB190) | v215(constB190) | (~v211(constB190)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB190) | v215(constB190) | (~v211(constB190)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25834,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB190) | v215(constB190) | (~v211(constB190)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25835,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB190) | v215(constB190) | (~v211(constB190))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25834, 25833])).
% 79.56/51.39 tff(25836,plain,
% 79.56/51.39 (v214(constB190) | (~v211(constB190))),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25835, 11203, 25832])).
% 79.56/51.39 tff(25837,plain,
% 79.56/51.39 (~v211(constB190)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25836, 25820])).
% 79.56/51.39 tff(25838,plain,
% 79.56/51.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25839,plain,
% 79.56/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25840,plain,
% 79.56/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 79.56/51.39 tff(25841,plain,
% 79.56/51.39 (v211(constB190) | (~v213(constB191))),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25840, 11218, 24305])).
% 79.56/51.39 tff(25842,plain,
% 79.56/51.39 (~v213(constB191)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25841, 25837])).
% 79.56/51.39 tff(25843,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB191) | (~v245(constB191)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB191) | (~v245(constB191)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25844,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB191) | (~v245(constB191)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25845,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB191) | (~v245(constB191))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 79.56/51.39 tff(25846,plain,
% 79.56/51.39 (~v245(constB191)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25845, 11683, 25842])).
% 79.56/51.39 tff(25847,plain,
% 79.56/51.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB191)) | (~v244(constB191)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB191)) | (~v244(constB191)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25848,plain,
% 79.56/51.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB191)) | (~v244(constB191)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25849,plain,
% 79.56/51.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB191)) | (~v244(constB191))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25848, 25847])).
% 79.56/51.39 tff(25850,plain,
% 79.56/51.39 (~v244(constB191)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25849, 11694, 24354])).
% 79.56/51.39 tff(25851,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB191) | v245(constB191) | (~v241(constB191)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB191) | v245(constB191) | (~v241(constB191)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25852,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB191) | v245(constB191) | (~v241(constB191)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25853,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB191) | v245(constB191) | (~v241(constB191))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25852, 25851])).
% 79.56/51.39 tff(25854,plain,
% 79.56/51.39 (v245(constB191) | (~v241(constB191))),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25853, 11708, 25850])).
% 79.56/51.39 tff(25855,plain,
% 79.56/51.39 (~v241(constB191)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25854, 25846])).
% 79.56/51.39 tff(25856,plain,
% 79.56/51.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25857,plain,
% 79.56/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25858,plain,
% 79.56/51.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25857, 25856])).
% 79.56/51.39 tff(25859,plain,
% 79.56/51.39 (v241(constB191) | (~v243(constB192))),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25858, 11723, 24337])).
% 79.56/51.39 tff(25860,plain,
% 79.56/51.39 (~v243(constB192)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25859, 25855])).
% 79.56/51.39 tff(25861,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB192) | (~v244(constB192)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB192) | (~v244(constB192)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25862,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB192) | (~v244(constB192)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25863,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB192) | (~v244(constB192))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 79.56/51.39 tff(25864,plain,
% 79.56/51.39 (~v244(constB192)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25863, 11735, 25860])).
% 79.56/51.39 tff(25865,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB192) | (~v247(constB192)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB192) | (~v247(constB192)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25866,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB192) | (~v247(constB192)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25867,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB192) | (~v247(constB192))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 79.56/51.39 tff(25868,plain,
% 79.56/51.39 (~v247(constB192)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25867, 11746, 24376])).
% 79.56/51.39 tff(25869,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB192) | (~v246(constB192)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB192) | (~v246(constB192)))),
% 79.56/51.39 inference(rewrite,[status(thm)],[])).
% 79.56/51.39 tff(25870,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB192) | (~v246(constB192)))),
% 79.56/51.39 inference(quant_inst,[status(thm)],[])).
% 79.56/51.39 tff(25871,plain,
% 79.56/51.39 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB192) | (~v246(constB192))),
% 79.56/51.39 inference(modus_ponens,[status(thm)],[25870, 25869])).
% 79.56/51.39 tff(25872,plain,
% 79.56/51.39 (~v246(constB192)),
% 79.56/51.39 inference(unit_resolution,[status(thm)],[25871, 11757, 25868])).
% 79.56/51.39 tff(25873,plain,
% 79.56/51.39 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB192) | (~v245(constB192)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB192) | (~v245(constB192)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25874,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB192) | (~v245(constB192)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25875,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB192) | (~v245(constB192))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 79.56/51.40 tff(25876,plain,
% 79.56/51.40 (~v245(constB192)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25875, 11768, 25872])).
% 79.56/51.40 tff(25877,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB192) | v245(constB192) | (~v241(constB192)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB192) | v245(constB192) | (~v241(constB192)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25878,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB192) | v245(constB192) | (~v241(constB192)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25879,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB192) | v245(constB192) | (~v241(constB192))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 79.56/51.40 tff(25880,plain,
% 79.56/51.40 (v244(constB192) | (~v241(constB192))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25879, 11708, 25876])).
% 79.56/51.40 tff(25881,plain,
% 79.56/51.40 (~v241(constB192)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25880, 25864])).
% 79.56/51.40 tff(25882,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25883,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25884,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25883, 25882])).
% 79.56/51.40 tff(25885,plain,
% 79.56/51.40 (v241(constB192) | (~v243(constB193))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25884, 11723, 24396])).
% 79.56/51.40 tff(25886,plain,
% 79.56/51.40 (~v243(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25885, 25881])).
% 79.56/51.40 tff(25887,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB193) | (~v244(constB193)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB193) | (~v244(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25888,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB193) | (~v244(constB193)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25889,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB193) | (~v244(constB193))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 79.56/51.40 tff(25890,plain,
% 79.56/51.40 (~v244(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25889, 11735, 25886])).
% 79.56/51.40 tff(25891,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB193) | v245(constB193) | (~v241(constB193)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB193) | v245(constB193) | (~v241(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25892,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB193) | v245(constB193) | (~v241(constB193)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25893,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB193) | v245(constB193) | (~v241(constB193))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 79.56/51.40 tff(25894,plain,
% 79.56/51.40 (v245(constB193) | (~v241(constB193))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25893, 11708, 25890])).
% 79.56/51.40 tff(25895,plain,
% 79.56/51.40 (~v241(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25894, 25673])).
% 79.56/51.40 tff(25896,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB193, constB194)) | v241(constB193) | (~v243(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB193, constB194)) | v241(constB193) | (~v243(constB194)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25897,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB193, constB194)) | v241(constB193) | (~v243(constB194)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25898,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB193, constB194)) | v241(constB193) | (~v243(constB194))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25897, 25896])).
% 79.56/51.40 tff(25899,plain,
% 79.56/51.40 (v241(constB193) | (~v243(constB194))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25898, 11723, 20947])).
% 79.56/51.40 tff(25900,plain,
% 79.56/51.40 (~v243(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25899, 25895])).
% 79.56/51.40 tff(25901,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB194) | (~v244(constB194)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB194) | (~v244(constB194)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25902,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB194) | (~v244(constB194)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25903,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB194) | (~v244(constB194))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25902, 25901])).
% 79.56/51.40 tff(25904,plain,
% 79.56/51.40 (~v244(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25903, 11735, 25900])).
% 79.56/51.40 tff(25905,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB194) | (~v247(constB194)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB194) | (~v247(constB194)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25906,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB194) | (~v247(constB194)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25907,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB194) | (~v247(constB194))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25906, 25905])).
% 79.56/51.40 tff(25908,plain,
% 79.56/51.40 (~v247(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25907, 11746, 24426])).
% 79.56/51.40 tff(25909,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB194) | (~v246(constB194)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB194) | (~v246(constB194)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25910,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB194) | (~v246(constB194)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25911,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB194) | (~v246(constB194))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 79.56/51.40 tff(25912,plain,
% 79.56/51.40 (~v246(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25911, 11757, 25908])).
% 79.56/51.40 tff(25913,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB194) | (~v245(constB194)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB194) | (~v245(constB194)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25914,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB194) | (~v245(constB194)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25915,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB194) | (~v245(constB194))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 79.56/51.40 tff(25916,plain,
% 79.56/51.40 (~v245(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25915, 11768, 25912])).
% 79.56/51.40 tff(25917,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB194) | v245(constB194) | (~v241(constB194)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB194) | v245(constB194) | (~v241(constB194)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25918,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB194) | v245(constB194) | (~v241(constB194)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25919,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB194) | v245(constB194) | (~v241(constB194))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25918, 25917])).
% 79.56/51.40 tff(25920,plain,
% 79.56/51.40 (v244(constB194) | (~v241(constB194))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25919, 11708, 25916])).
% 79.56/51.40 tff(25921,plain,
% 79.56/51.40 (~v241(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25920, 25904])).
% 79.56/51.40 tff(25922,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB194, constB195)) | v241(constB194) | (~v243(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB194, constB195)) | v241(constB194) | (~v243(constB195)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25923,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB194, constB195)) | v241(constB194) | (~v243(constB195)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25924,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB194, constB195)) | v241(constB194) | (~v243(constB195))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 79.56/51.40 tff(25925,plain,
% 79.56/51.40 (v241(constB194) | (~v243(constB195))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25924, 11723, 24449])).
% 79.56/51.40 tff(25926,plain,
% 79.56/51.40 (~v243(constB195)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25925, 25921])).
% 79.56/51.40 tff(25927,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB195) | (~v302(constB195)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB195) | (~v302(constB195)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25928,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB195) | (~v302(constB195)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25929,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB195) | (~v302(constB195))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 79.56/51.40 tff(25930,plain,
% 79.56/51.40 (~v302(constB195)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25929, 11789, 25926])).
% 79.56/51.40 tff(25931,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB195) | v292(constB195) | v302(constB195))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB195) | v292(constB195) | v302(constB195))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25932,plain,
% 79.56/51.40 ((v292(constB195) | v302(constB195) | v290(constB195)) <=> (v290(constB195) | v292(constB195) | v302(constB195))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25933,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB195) | v302(constB195) | v290(constB195))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB195) | v292(constB195) | v302(constB195)))),
% 79.56/51.40 inference(monotonicity,[status(thm)],[25932])).
% 79.56/51.40 tff(25934,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB195) | v302(constB195) | v290(constB195))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB195) | v292(constB195) | v302(constB195))),
% 79.56/51.40 inference(transitivity,[status(thm)],[25933, 25931])).
% 79.56/51.40 tff(25935,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB195) | v302(constB195) | v290(constB195))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25936,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB195) | v292(constB195) | v302(constB195)),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25935, 25934])).
% 79.56/51.40 tff(25937,plain,
% 79.56/51.40 (v290(constB195) | v292(constB195)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25936, 11803, 25930])).
% 79.56/51.40 tff(25938,plain,
% 79.56/51.40 (v290(constB195)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25937, 25669])).
% 79.56/51.40 tff(25939,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB195) | (~v290(constB195)) | v289(constB195))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB195) | (~v290(constB195)) | v289(constB195))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25940,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB195) | (~v290(constB195)) | v289(constB195))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25941,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB195) | (~v290(constB195)) | v289(constB195)),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25940, 25939])).
% 79.56/51.40 tff(25942,plain,
% 79.56/51.40 (v307(constB195) | v289(constB195)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25941, 11821, 25938])).
% 79.56/51.40 tff(25943,plain,
% 79.56/51.40 (v289(constB195)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25942, 24458])).
% 79.56/51.40 tff(25944,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25945,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25946,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193)),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25945, 25944])).
% 79.56/51.40 tff(25947,plain,
% 79.56/51.40 (v125(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25946, 2156, 25228, 25298, 25263])).
% 79.56/51.40 tff(25948,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25949,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25950,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 79.56/51.40 tff(25951,plain,
% 79.56/51.40 (v113(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25950, 2167, 25947])).
% 79.56/51.40 tff(25952,assumption,(v26(constB193)), introduced(assumption)).
% 79.56/51.40 tff(25953,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25954,plain,
% 79.56/51.40 ($false),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25953, 14, 25952])).
% 79.56/51.40 tff(25955,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 79.56/51.40 tff(25956,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25957,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25958,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | (~v113(constB193)) | v112(constB193)),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25957, 25956])).
% 79.56/51.40 tff(25959,plain,
% 79.56/51.40 ((~v113(constB193)) | v112(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25958, 555, 25955])).
% 79.56/51.40 tff(25960,plain,
% 79.56/51.40 (v112(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25959, 25951])).
% 79.56/51.40 tff(25961,plain,
% 79.56/51.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25962,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25963,plain,
% 79.56/51.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 79.56/51.40 tff(25964,plain,
% 79.56/51.40 (v108(constB193)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25963, 464, 25960])).
% 79.56/51.40 tff(25965,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25966,plain,
% 79.56/51.40 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 79.56/51.40 inference(rewrite,[status(thm)],[])).
% 79.56/51.40 tff(25967,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))))),
% 79.56/51.40 inference(monotonicity,[status(thm)],[25966])).
% 79.56/51.40 tff(25968,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 79.56/51.40 inference(transitivity,[status(thm)],[25967, 25965])).
% 79.56/51.40 tff(25969,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 79.56/51.40 inference(quant_inst,[status(thm)],[])).
% 79.56/51.40 tff(25970,plain,
% 79.56/51.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 79.56/51.40 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 79.56/51.40 tff(25971,plain,
% 79.56/51.40 (v110(constB194) | (~v108(constB193))),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25970, 571, 20947])).
% 79.56/51.40 tff(25972,plain,
% 79.56/51.40 (v110(constB194)),
% 79.56/51.40 inference(unit_resolution,[status(thm)],[25971, 25964])).
% 79.56/51.40 tff(25973,plain,
% 79.56/51.40 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(25974,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 79.56/51.41 inference(quant_inst,[status(thm)],[])).
% 79.56/51.41 tff(25975,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 79.56/51.41 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 79.56/51.41 tff(25976,plain,
% 79.56/51.41 (~v104(constB194)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25975, 589, 20947, 20955])).
% 79.56/51.41 tff(25977,plain,
% 79.56/51.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(25978,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 79.56/51.41 inference(quant_inst,[status(thm)],[])).
% 79.56/51.41 tff(25979,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 79.56/51.41 inference(modus_ponens,[status(thm)],[25978, 25977])).
% 79.56/51.41 tff(25980,plain,
% 79.56/51.41 (v102(constB194) | v104(constB194)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25979, 603, 20947])).
% 79.56/51.41 tff(25981,plain,
% 79.56/51.41 (v102(constB194)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25980, 25976])).
% 79.56/51.41 tff(25982,plain,
% 79.56/51.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(25983,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 79.56/51.41 inference(quant_inst,[status(thm)],[])).
% 79.56/51.41 tff(25984,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 79.56/51.41 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 79.56/51.41 tff(25985,plain,
% 79.56/51.41 (v101(constB194) | (~v102(constB194))),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25984, 621, 20947, 20931])).
% 79.56/51.41 tff(25986,plain,
% 79.56/51.41 (v101(constB194)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25985, 25981])).
% 79.56/51.41 tff(25987,plain,
% 79.56/51.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(25988,plain,
% 79.56/51.41 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(25989,plain,
% 79.56/51.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))))),
% 79.56/51.41 inference(monotonicity,[status(thm)],[25988])).
% 79.56/51.41 tff(25990,plain,
% 79.56/51.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 79.56/51.41 inference(transitivity,[status(thm)],[25989, 25987])).
% 79.56/51.41 tff(25991,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 79.56/51.41 inference(quant_inst,[status(thm)],[])).
% 79.56/51.41 tff(25992,plain,
% 79.56/51.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 79.56/51.41 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 79.56/51.41 tff(25993,plain,
% 79.56/51.41 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25992, 636, 20947])).
% 79.56/51.41 tff(25994,plain,
% 79.56/51.41 (v100(constB194) | (~v110(constB194))),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25993, 25986])).
% 79.56/51.41 tff(25995,plain,
% 79.56/51.41 (v100(constB194)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25994, 25972])).
% 79.56/51.41 tff(25996,plain,
% 79.56/51.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v121(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v121(constB193)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(25997,plain,
% 79.56/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v121(constB193)))),
% 79.56/51.41 inference(quant_inst,[status(thm)],[])).
% 79.56/51.41 tff(25998,plain,
% 79.56/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v121(constB193))),
% 79.56/51.41 inference(modus_ponens,[status(thm)],[25997, 25996])).
% 79.56/51.41 tff(25999,plain,
% 79.56/51.41 (~v121(constB193)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[25998, 2218, 25263])).
% 79.56/51.41 tff(26000,plain,
% 79.56/51.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(26001,plain,
% 79.56/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 79.56/51.41 inference(quant_inst,[status(thm)],[])).
% 79.56/51.41 tff(26002,plain,
% 79.56/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193))),
% 79.56/51.41 inference(modus_ponens,[status(thm)],[26001, 26000])).
% 79.56/51.41 tff(26003,plain,
% 79.56/51.41 (~v122(constB193)),
% 79.56/51.41 inference(unit_resolution,[status(thm)],[26002, 2229, 25263])).
% 79.56/51.41 tff(26004,plain,
% 79.56/51.41 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB193)) | (~v90(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB193)) | (~v90(constB193, bitIndex1)))),
% 79.56/51.41 inference(rewrite,[status(thm)],[])).
% 79.56/51.41 tff(26005,plain,
% 79.56/51.41 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB193)) | (~v90(constB193, bitIndex1)))),
% 79.58/51.41 inference(quant_inst,[status(thm)],[])).
% 79.58/51.41 tff(26006,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB193)) | (~v90(constB193, bitIndex1))),
% 79.58/51.41 inference(modus_ponens,[status(thm)],[26005, 26004])).
% 79.58/51.41 tff(26007,plain,
% 79.58/51.41 (~v119(constB193)),
% 79.58/51.41 inference(unit_resolution,[status(thm)],[26006, 2243, 25298])).
% 79.58/51.41 tff(26008,plain,
% 79.58/51.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26009,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 79.58/51.41 inference(quant_inst,[status(thm)],[])).
% 79.58/51.41 tff(26010,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193))),
% 79.58/51.41 inference(modus_ponens,[status(thm)],[26009, 26008])).
% 79.58/51.41 tff(26011,plain,
% 79.58/51.41 (~v120(constB193)),
% 79.58/51.41 inference(unit_resolution,[status(thm)],[26010, 2254, 25298])).
% 79.58/51.41 tff(26012,plain,
% 79.58/51.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v123(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v123(constB193)))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26013,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v123(constB193)))),
% 79.58/51.41 inference(quant_inst,[status(thm)],[])).
% 79.58/51.41 tff(26014,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v123(constB193))),
% 79.58/51.41 inference(modus_ponens,[status(thm)],[26013, 26012])).
% 79.58/51.41 tff(26015,plain,
% 79.58/51.41 (~v123(constB193)),
% 79.58/51.41 inference(unit_resolution,[status(thm)],[26014, 2265, 25298])).
% 79.58/51.41 tff(26016,plain,
% 79.58/51.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26017,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 79.58/51.41 inference(quant_inst,[status(thm)],[])).
% 79.58/51.41 tff(26018,plain,
% 79.58/51.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193))),
% 79.58/51.41 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 79.58/51.41 tff(26019,plain,
% 79.58/51.41 (~v124(constB193)),
% 79.58/51.41 inference(unit_resolution,[status(thm)],[26018, 2276, 25298])).
% 79.58/51.41 tff(26020,plain,
% 79.58/51.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex2)))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26021,plain,
% 79.58/51.41 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2))) <=> (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex2)))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26022,plain,
% 79.58/51.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex2))))),
% 79.58/51.41 inference(monotonicity,[status(thm)],[26021])).
% 79.58/51.41 tff(26023,plain,
% 79.58/51.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex2)))),
% 79.58/51.41 inference(transitivity,[status(thm)],[26022, 26020])).
% 79.58/51.41 tff(26024,plain,
% 79.58/51.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))),
% 79.58/51.41 inference(quant_inst,[status(thm)],[])).
% 79.58/51.41 tff(26025,plain,
% 79.58/51.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex2))),
% 79.58/51.41 inference(modus_ponens,[status(thm)],[26024, 26023])).
% 79.58/51.41 tff(26026,plain,
% 79.58/51.41 (~v130(constB193, bitIndex2)),
% 79.58/51.41 inference(unit_resolution,[status(thm)],[26025, 2290, 26019, 26015, 26011, 26007, 26003, 25999])).
% 79.58/51.41 tff(26027,plain,
% 79.58/51.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26028,plain,
% 79.58/51.41 ((v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2))) <=> ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 79.58/51.41 inference(rewrite,[status(thm)],[])).
% 79.58/51.41 tff(26029,plain,
% 79.58/51.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2)))),
% 79.58/51.41 inference(monotonicity,[status(thm)],[26028])).
% 79.58/51.41 tff(26030,plain,
% 79.58/51.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 79.58/51.41 inference(transitivity,[status(thm)],[26029, 26027])).
% 79.58/51.41 tff(26031,plain,
% 79.58/51.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))),
% 79.58/51.41 inference(quant_inst,[status(thm)],[])).
% 79.58/51.41 tff(26032,plain,
% 79.58/51.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2)),
% 79.58/51.41 inference(modus_ponens,[status(thm)],[26031, 26030])).
% 79.58/51.41 tff(26033,plain,
% 79.58/51.41 ((~v127(constB193, bitIndex2)) | v130(constB193, bitIndex2)),
% 79.58/51.41 inference(unit_resolution,[status(thm)],[26032, 430, 25955])).
% 79.59/51.42 tff(26034,plain,
% 79.59/51.42 (~v127(constB193, bitIndex2)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26033, 26026])).
% 79.59/51.42 tff(26035,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26036,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))),
% 79.59/51.42 inference(quant_inst,[status(thm)],[])).
% 79.59/51.42 tff(26037,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2))),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 79.59/51.42 tff(26038,plain,
% 79.59/51.42 (v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2))),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26037, 451, 20947])).
% 79.59/51.42 tff(26039,plain,
% 79.59/51.42 (~v129(constB194, bitIndex2)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26038, 26034])).
% 79.59/51.42 tff(26040,plain,
% 79.59/51.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26041,plain,
% 79.59/51.42 (((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2)) <=> ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26042,plain,
% 79.59/51.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194))))),
% 79.59/51.42 inference(monotonicity,[status(thm)],[26041])).
% 79.59/51.42 tff(26043,plain,
% 79.59/51.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 79.59/51.42 inference(transitivity,[status(thm)],[26042, 26040])).
% 79.59/51.42 tff(26044,plain,
% 79.59/51.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))),
% 79.59/51.42 inference(quant_inst,[status(thm)],[])).
% 79.59/51.42 tff(26045,plain,
% 79.59/51.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194))),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 79.59/51.42 tff(26046,plain,
% 79.59/51.42 ((~v90(constB194, bitIndex2)) | (~v100(constB194))),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26045, 655, 26039])).
% 79.59/51.42 tff(26047,plain,
% 79.59/51.42 (~v90(constB194, bitIndex2)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26046, 25995])).
% 79.59/51.42 tff(26048,plain,
% 79.59/51.42 ((~v1(constB195)) <=> (~v1(constB195))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26049,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 79.59/51.42 tff(26050,plain,
% 79.59/51.42 (~v1(constB195)),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26049, 26048])).
% 79.59/51.42 tff(26051,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26052,plain,
% 79.59/51.42 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26053,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))))),
% 79.59/51.42 inference(monotonicity,[status(thm)],[26052])).
% 79.59/51.42 tff(26054,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 79.59/51.42 inference(transitivity,[status(thm)],[26053, 26051])).
% 79.59/51.42 tff(26055,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 79.59/51.42 inference(quant_inst,[status(thm)],[])).
% 79.59/51.42 tff(26056,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26055, 26054])).
% 79.59/51.42 tff(26057,plain,
% 79.59/51.42 (~v101(constB195)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26056, 307, 24449, 26050])).
% 79.59/51.42 tff(26058,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26059,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 79.59/51.42 inference(quant_inst,[status(thm)],[])).
% 79.59/51.42 tff(26060,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26059, 26058])).
% 79.59/51.42 tff(26061,plain,
% 79.59/51.42 (v101(constB195) | (~v100(constB195))),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26060, 324, 24449])).
% 79.59/51.42 tff(26062,plain,
% 79.59/51.42 (~v100(constB195)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26061, 26057])).
% 79.59/51.42 tff(26063,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26064,plain,
% 79.59/51.42 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2))) <=> (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26065,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2))))),
% 79.59/51.42 inference(monotonicity,[status(thm)],[26064])).
% 79.59/51.42 tff(26066,plain,
% 79.59/51.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 79.59/51.42 inference(transitivity,[status(thm)],[26065, 26063])).
% 79.59/51.42 tff(26067,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 79.59/51.42 inference(quant_inst,[status(thm)],[])).
% 79.59/51.42 tff(26068,plain,
% 79.59/51.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2))),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26067, 26066])).
% 79.59/51.42 tff(26069,plain,
% 79.59/51.42 (v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2))),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26068, 339, 24449])).
% 79.59/51.42 tff(26070,plain,
% 79.59/51.42 (v90(constB194, bitIndex2) | (~v90(constB195, bitIndex2))),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26069, 26062])).
% 79.59/51.42 tff(26071,plain,
% 79.59/51.42 (~v90(constB195, bitIndex2)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26070, 26047])).
% 79.59/51.42 tff(26072,plain,
% 79.59/51.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26073,plain,
% 79.59/51.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))),
% 79.59/51.42 inference(quant_inst,[status(thm)],[])).
% 79.59/51.42 tff(26074,plain,
% 79.59/51.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2))),
% 79.59/51.42 inference(modus_ponens,[status(thm)],[26073, 26072])).
% 79.59/51.42 tff(26075,plain,
% 79.59/51.42 (~v88(constB195, bitIndex2)),
% 79.59/51.42 inference(unit_resolution,[status(thm)],[26074, 11467, 26071])).
% 79.59/51.42 tff(26076,plain,
% 79.59/51.42 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex1)))),
% 79.59/51.42 inference(rewrite,[status(thm)],[])).
% 79.59/51.42 tff(26077,plain,
% 79.59/51.42 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1))) <=> (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex1)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26078,plain,
% 79.59/51.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex1))))),
% 79.59/51.43 inference(monotonicity,[status(thm)],[26077])).
% 79.59/51.43 tff(26079,plain,
% 79.59/51.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex1)))),
% 79.59/51.43 inference(transitivity,[status(thm)],[26078, 26076])).
% 79.59/51.43 tff(26080,plain,
% 79.59/51.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))),
% 79.59/51.43 inference(quant_inst,[status(thm)],[])).
% 79.59/51.43 tff(26081,plain,
% 79.59/51.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | (~v130(constB193, bitIndex1))),
% 79.59/51.43 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 79.59/51.43 tff(26082,plain,
% 79.59/51.43 (~v130(constB193, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26081, 2355, 26019, 26015, 26011, 26007, 26003, 25999])).
% 79.59/51.43 tff(26083,plain,
% 79.59/51.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26084,plain,
% 79.59/51.43 ((v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1))) <=> ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26085,plain,
% 79.59/51.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1)))),
% 79.59/51.43 inference(monotonicity,[status(thm)],[26084])).
% 79.59/51.43 tff(26086,plain,
% 79.59/51.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 79.59/51.43 inference(transitivity,[status(thm)],[26085, 26083])).
% 79.59/51.43 tff(26087,plain,
% 79.59/51.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))),
% 79.59/51.43 inference(quant_inst,[status(thm)],[])).
% 79.59/51.43 tff(26088,plain,
% 79.59/51.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1)),
% 79.59/51.43 inference(modus_ponens,[status(thm)],[26087, 26086])).
% 79.59/51.43 tff(26089,plain,
% 79.59/51.43 ((~v127(constB193, bitIndex1)) | v130(constB193, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26088, 714, 25955])).
% 79.59/51.43 tff(26090,plain,
% 79.59/51.43 (~v127(constB193, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26089, 26082])).
% 79.59/51.43 tff(26091,plain,
% 79.59/51.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26092,plain,
% 79.59/51.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))),
% 79.59/51.43 inference(quant_inst,[status(thm)],[])).
% 79.59/51.43 tff(26093,plain,
% 79.59/51.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1))),
% 79.59/51.43 inference(modus_ponens,[status(thm)],[26092, 26091])).
% 79.59/51.43 tff(26094,plain,
% 79.59/51.43 (v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1))),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26093, 732, 20947])).
% 79.59/51.43 tff(26095,plain,
% 79.59/51.43 (~v129(constB194, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26094, 26090])).
% 79.59/51.43 tff(26096,plain,
% 79.59/51.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26097,plain,
% 79.59/51.43 (((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1)) <=> ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26098,plain,
% 79.59/51.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194))))),
% 79.59/51.43 inference(monotonicity,[status(thm)],[26097])).
% 79.59/51.43 tff(26099,plain,
% 79.59/51.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 79.59/51.43 inference(transitivity,[status(thm)],[26098, 26096])).
% 79.59/51.43 tff(26100,plain,
% 79.59/51.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))),
% 79.59/51.43 inference(quant_inst,[status(thm)],[])).
% 79.59/51.43 tff(26101,plain,
% 79.59/51.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194))),
% 79.59/51.43 inference(modus_ponens,[status(thm)],[26100, 26099])).
% 79.59/51.43 tff(26102,plain,
% 79.59/51.43 ((~v90(constB194, bitIndex1)) | (~v100(constB194))),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26101, 747, 26095])).
% 79.59/51.43 tff(26103,plain,
% 79.59/51.43 (~v90(constB194, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26102, 25995])).
% 79.59/51.43 tff(26104,plain,
% 79.59/51.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26105,plain,
% 79.59/51.43 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1))) <=> (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26106,plain,
% 79.59/51.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1))))),
% 79.59/51.43 inference(monotonicity,[status(thm)],[26105])).
% 79.59/51.43 tff(26107,plain,
% 79.59/51.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 79.59/51.43 inference(transitivity,[status(thm)],[26106, 26104])).
% 79.59/51.43 tff(26108,plain,
% 79.59/51.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 79.59/51.43 inference(quant_inst,[status(thm)],[])).
% 79.59/51.43 tff(26109,plain,
% 79.59/51.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1))),
% 79.59/51.43 inference(modus_ponens,[status(thm)],[26108, 26107])).
% 79.59/51.43 tff(26110,plain,
% 79.59/51.43 (v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1))),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26109, 360, 24449])).
% 79.59/51.43 tff(26111,plain,
% 79.59/51.43 (v90(constB194, bitIndex1) | (~v90(constB195, bitIndex1))),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26110, 26062])).
% 79.59/51.43 tff(26112,plain,
% 79.59/51.43 (~v90(constB195, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26111, 26103])).
% 79.59/51.43 tff(26113,plain,
% 79.59/51.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))),
% 79.59/51.43 inference(rewrite,[status(thm)],[])).
% 79.59/51.43 tff(26114,plain,
% 79.59/51.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))),
% 79.59/51.43 inference(quant_inst,[status(thm)],[])).
% 79.59/51.43 tff(26115,plain,
% 79.59/51.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1))),
% 79.59/51.43 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 79.59/51.43 tff(26116,plain,
% 79.59/51.43 (~v88(constB195, bitIndex1)),
% 79.59/51.43 inference(unit_resolution,[status(thm)],[26115, 10918, 26112])).
% 79.59/51.44 tff(26117,plain,
% 79.59/51.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | v130(constB193, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26118,plain,
% 79.59/51.44 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0)) <=> (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | v130(constB193, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26119,plain,
% 79.59/51.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | v130(constB193, bitIndex0)))),
% 79.59/51.44 inference(monotonicity,[status(thm)],[26118])).
% 79.59/51.44 tff(26120,plain,
% 79.59/51.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | v130(constB193, bitIndex0))),
% 79.59/51.44 inference(transitivity,[status(thm)],[26119, 26117])).
% 79.59/51.44 tff(26121,plain,
% 79.59/51.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0))),
% 79.59/51.44 inference(quant_inst,[status(thm)],[])).
% 79.59/51.44 tff(26122,plain,
% 79.59/51.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB193) | v119(constB193) | v124(constB193) | v121(constB193) | v120(constB193) | v122(constB193) | v130(constB193, bitIndex0)),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 79.59/51.44 tff(26123,plain,
% 79.59/51.44 (v130(constB193, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26122, 2402, 26019, 26015, 26011, 26007, 26003, 25999])).
% 79.59/51.44 tff(26124,plain,
% 79.59/51.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26125,plain,
% 79.59/51.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))),
% 79.59/51.44 inference(quant_inst,[status(thm)],[])).
% 79.59/51.44 tff(26126,plain,
% 79.59/51.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26125, 26124])).
% 79.59/51.44 tff(26127,plain,
% 79.59/51.44 ((~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26126, 788, 25955])).
% 79.59/51.44 tff(26128,plain,
% 79.59/51.44 (v127(constB193, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26127, 26123])).
% 79.59/51.44 tff(26129,plain,
% 79.59/51.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26130,plain,
% 79.59/51.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))),
% 79.59/51.44 inference(quant_inst,[status(thm)],[])).
% 79.59/51.44 tff(26131,plain,
% 79.59/51.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26130, 26129])).
% 79.59/51.44 tff(26132,plain,
% 79.59/51.44 ((~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26131, 803, 20947])).
% 79.59/51.44 tff(26133,plain,
% 79.59/51.44 (v129(constB194, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26132, 26128])).
% 79.59/51.44 tff(26134,plain,
% 79.59/51.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26135,plain,
% 79.59/51.44 ((v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26136,plain,
% 79.59/51.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194))))),
% 79.59/51.44 inference(monotonicity,[status(thm)],[26135])).
% 79.59/51.44 tff(26137,plain,
% 79.59/51.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 79.59/51.44 inference(transitivity,[status(thm)],[26136, 26134])).
% 79.59/51.44 tff(26138,plain,
% 79.59/51.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))),
% 79.59/51.44 inference(quant_inst,[status(thm)],[])).
% 79.59/51.44 tff(26139,plain,
% 79.59/51.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194))),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 79.59/51.44 tff(26140,plain,
% 79.59/51.44 (v90(constB194, bitIndex0) | (~v100(constB194))),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26139, 818, 26133])).
% 79.59/51.44 tff(26141,plain,
% 79.59/51.44 (v90(constB194, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26140, 25995])).
% 79.59/51.44 tff(26142,plain,
% 79.59/51.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26143,plain,
% 79.59/51.44 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0)) <=> ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26144,plain,
% 79.59/51.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0)))),
% 79.59/51.44 inference(monotonicity,[status(thm)],[26143])).
% 79.59/51.44 tff(26145,plain,
% 79.59/51.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 79.59/51.44 inference(transitivity,[status(thm)],[26144, 26142])).
% 79.59/51.44 tff(26146,plain,
% 79.59/51.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0))),
% 79.59/51.44 inference(quant_inst,[status(thm)],[])).
% 79.59/51.44 tff(26147,plain,
% 79.59/51.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0)),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 79.59/51.44 tff(26148,plain,
% 79.59/51.44 ((~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26147, 836, 24449])).
% 79.59/51.44 tff(26149,plain,
% 79.59/51.44 ((~v90(constB194, bitIndex0)) | v90(constB195, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26148, 26062])).
% 79.59/51.44 tff(26150,plain,
% 79.59/51.44 (v90(constB195, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26149, 26141])).
% 79.59/51.44 tff(26151,plain,
% 79.59/51.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26152,plain,
% 79.59/51.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))),
% 79.59/51.44 inference(quant_inst,[status(thm)],[])).
% 79.59/51.44 tff(26153,plain,
% 79.59/51.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0)),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26152, 26151])).
% 79.59/51.44 tff(26154,plain,
% 79.59/51.44 (v88(constB195, bitIndex0)),
% 79.59/51.44 inference(unit_resolution,[status(thm)],[26153, 11313, 26150])).
% 79.59/51.44 tff(26155,plain,
% 79.59/51.44 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)))),
% 79.59/51.44 inference(bind,[status(th)],[])).
% 79.59/51.44 tff(26156,plain,
% 79.59/51.44 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(quant_intro,[status(thm)],[26155])).
% 79.59/51.44 tff(26157,plain,
% 79.59/51.44 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26158,plain,
% 79.59/51.44 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))))),
% 79.59/51.44 inference(bind,[status(th)],[])).
% 79.59/51.44 tff(26159,plain,
% 79.59/51.44 (![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(quant_intro,[status(thm)],[26158])).
% 79.59/51.44 tff(26160,axiom,(![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 79.59/51.44 tff(26161,plain,
% 79.59/51.44 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 79.59/51.44 tff(26162,plain,
% 79.59/51.44 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26161, 26157])).
% 79.59/51.44 tff(26163,plain,(
% 79.59/51.44 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(skolemize,[status(sab)],[26162])).
% 79.59/51.44 tff(26164,plain,
% 79.59/51.44 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 79.59/51.44 inference(modus_ponens,[status(thm)],[26163, 26156])).
% 79.59/51.44 tff(26165,plain,
% 79.59/51.44 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)) | v140(constB195))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26166,plain,
% 79.59/51.44 ((v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195)) <=> (v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)) | v140(constB195))),
% 79.59/51.44 inference(rewrite,[status(thm)],[])).
% 79.59/51.44 tff(26167,plain,
% 79.59/51.44 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)) | v140(constB195)))),
% 79.59/51.45 inference(monotonicity,[status(thm)],[26166])).
% 79.59/51.45 tff(26168,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)) | v140(constB195))),
% 79.59/51.45 inference(transitivity,[status(thm)],[26167, 26165])).
% 79.59/51.45 tff(26169,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26170,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB195, bitIndex1) | v88(constB195, bitIndex2) | (~v88(constB195, bitIndex0)) | v140(constB195)),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26169, 26168])).
% 79.59/51.45 tff(26171,plain,
% 79.59/51.45 (v140(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26170, 26164, 26154, 26116, 26075])).
% 79.59/51.45 tff(26172,plain,
% 79.59/51.45 (^[VarCurr: $i] : refl((v229(VarCurr) | (~v140(VarCurr))) <=> (v229(VarCurr) | (~v140(VarCurr))))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26173,plain,
% 79.59/51.45 (![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26172])).
% 79.59/51.45 tff(26174,plain,
% 79.59/51.45 (![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26175,axiom,(![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_1')).
% 79.59/51.45 tff(26176,plain,
% 79.59/51.45 (![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26175, 26174])).
% 79.59/51.45 tff(26177,plain,(
% 79.59/51.45 ![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26176])).
% 79.59/51.45 tff(26178,plain,
% 79.59/51.45 (![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26177, 26173])).
% 79.59/51.45 tff(26179,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | (v229(constB195) | (~v140(constB195)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | v229(constB195) | (~v140(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26180,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | (v229(constB195) | (~v140(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26181,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | v229(constB195) | (~v140(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26180, 26179])).
% 79.59/51.45 tff(26182,plain,
% 79.59/51.45 (v229(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26181, 26178, 26171])).
% 79.59/51.45 tff(26183,plain,
% 79.59/51.45 (^[VarCurr: $i] : refl((v228(VarCurr) | (~v229(VarCurr))) <=> (v228(VarCurr) | (~v229(VarCurr))))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26184,plain,
% 79.59/51.45 (![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26183])).
% 79.59/51.45 tff(26185,plain,
% 79.59/51.45 (![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26186,axiom,(![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_60_1_1_1')).
% 79.59/51.45 tff(26187,plain,
% 79.59/51.45 (![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 79.59/51.45 tff(26188,plain,(
% 79.59/51.45 ![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26187])).
% 79.59/51.45 tff(26189,plain,
% 79.59/51.45 (![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26188, 26184])).
% 79.59/51.45 tff(26190,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB195) | (~v229(constB195)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB195) | (~v229(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26191,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB195) | (~v229(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26192,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB195) | (~v229(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26191, 26190])).
% 79.59/51.45 tff(26193,plain,
% 79.59/51.45 (v228(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26192, 26189, 26182])).
% 79.59/51.45 tff(26194,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB195) | (~v228(constB195)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB195) | (~v228(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26195,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB195) | (~v228(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26196,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB195) | (~v228(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26195, 26194])).
% 79.59/51.45 tff(26197,plain,
% 79.59/51.45 (v227(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26196, 11511, 26193])).
% 79.59/51.45 tff(26198,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB195) | (~v227(constB195)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB195) | (~v227(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26199,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB195) | (~v227(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26200,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB195) | (~v227(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 79.59/51.45 tff(26201,plain,
% 79.59/51.45 (v226(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26200, 10817, 26197])).
% 79.59/51.45 tff(26202,plain,
% 79.59/51.45 (^[VarCurr: $i] : refl((v168(VarCurr) | (~v140(VarCurr))) <=> (v168(VarCurr) | (~v140(VarCurr))))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26203,plain,
% 79.59/51.45 (![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26202])).
% 79.59/51.45 tff(26204,plain,
% 79.59/51.45 (![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26205,axiom,(![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_3_1_1')).
% 79.59/51.45 tff(26206,plain,
% 79.59/51.45 (![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26205, 26204])).
% 79.59/51.45 tff(26207,plain,(
% 79.59/51.45 ![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26206])).
% 79.59/51.45 tff(26208,plain,
% 79.59/51.45 (![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26207, 26203])).
% 79.59/51.45 tff(26209,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | (v168(constB195) | (~v140(constB195)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | v168(constB195) | (~v140(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26210,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | (v168(constB195) | (~v140(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26211,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | v168(constB195) | (~v140(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 79.59/51.45 tff(26212,plain,
% 79.59/51.45 (v168(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26211, 26208, 26171])).
% 79.59/51.45 tff(26213,plain,
% 79.59/51.45 (^[VarNext: $i] : refl(((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)) <=> ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26214,plain,
% 79.59/51.45 (![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26213])).
% 79.59/51.45 tff(26215,plain,
% 79.59/51.45 (![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26216,plain,
% 79.59/51.45 (^[VarNext: $i] : rewrite(((v161(VarNext) | (~v168(VarNext))) | (~v226(VarNext))) <=> ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26217,plain,
% 79.59/51.45 (![VarNext: $i] : ((v161(VarNext) | (~v168(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26216])).
% 79.59/51.45 tff(26218,axiom,(![VarNext: $i] : ((v161(VarNext) | (~v168(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_1')).
% 79.59/51.45 tff(26219,plain,
% 79.59/51.45 (![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 79.59/51.45 tff(26220,plain,
% 79.59/51.45 (![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26219, 26215])).
% 79.59/51.45 tff(26221,plain,(
% 79.59/51.45 ![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26220])).
% 79.59/51.45 tff(26222,plain,
% 79.59/51.45 (![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26221, 26214])).
% 79.59/51.45 tff(26223,plain,
% 79.59/51.45 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | (v161(constB195) | (~v168(constB195)) | (~v226(constB195)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB195) | (~v168(constB195)) | (~v226(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26224,plain,
% 79.59/51.45 (((~v226(constB195)) | (~v168(constB195)) | v161(constB195)) <=> (v161(constB195) | (~v168(constB195)) | (~v226(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26225,plain,
% 79.59/51.45 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB195)) | (~v168(constB195)) | v161(constB195))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | (v161(constB195) | (~v168(constB195)) | (~v226(constB195))))),
% 79.59/51.45 inference(monotonicity,[status(thm)],[26224])).
% 79.59/51.45 tff(26226,plain,
% 79.59/51.45 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB195)) | (~v168(constB195)) | v161(constB195))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB195) | (~v168(constB195)) | (~v226(constB195)))),
% 79.59/51.45 inference(transitivity,[status(thm)],[26225, 26223])).
% 79.59/51.45 tff(26227,plain,
% 79.59/51.45 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB195)) | (~v168(constB195)) | v161(constB195))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26228,plain,
% 79.59/51.45 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB195) | (~v168(constB195)) | (~v226(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26227, 26226])).
% 79.59/51.45 tff(26229,plain,
% 79.59/51.45 (v161(constB195) | (~v226(constB195))),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26228, 26222, 26212])).
% 79.59/51.45 tff(26230,plain,
% 79.59/51.45 (v161(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26229, 26201])).
% 79.59/51.45 tff(26231,plain,
% 79.59/51.45 (^[VarCurr: $i] : refl(((~v161(VarCurr)) | (~v311(VarCurr))) <=> ((~v161(VarCurr)) | (~v311(VarCurr))))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26232,plain,
% 79.59/51.45 (![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr))) <=> ![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26231])).
% 79.59/51.45 tff(26233,plain,
% 79.59/51.45 (![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr))) <=> ![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26234,axiom,(![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_94_1_1_1_2')).
% 79.59/51.45 tff(26235,plain,
% 79.59/51.45 (![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26234, 26233])).
% 79.59/51.45 tff(26236,plain,(
% 79.59/51.45 ![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26235])).
% 79.59/51.45 tff(26237,plain,
% 79.59/51.45 (![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26236, 26232])).
% 79.59/51.45 tff(26238,plain,
% 79.59/51.45 (((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | ((~v161(constB195)) | (~v311(constB195)))) <=> ((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | (~v161(constB195)) | (~v311(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26239,plain,
% 79.59/51.45 ((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | ((~v161(constB195)) | (~v311(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26240,plain,
% 79.59/51.45 ((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | (~v161(constB195)) | (~v311(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 79.59/51.45 tff(26241,plain,
% 79.59/51.45 (~v311(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26240, 26237, 26230])).
% 79.59/51.45 tff(26242,plain,
% 79.59/51.45 (^[VarCurr: $i] : refl((v311(VarCurr) | (~v310(VarCurr))) <=> (v311(VarCurr) | (~v310(VarCurr))))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26243,plain,
% 79.59/51.45 (![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr))) <=> ![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26242])).
% 79.59/51.45 tff(26244,plain,
% 79.59/51.45 (![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr))) <=> ![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26245,axiom,(![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_95_1_1_1_1')).
% 79.59/51.45 tff(26246,plain,
% 79.59/51.45 (![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26245, 26244])).
% 79.59/51.45 tff(26247,plain,(
% 79.59/51.45 ![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26246])).
% 79.59/51.45 tff(26248,plain,
% 79.59/51.45 (![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26247, 26243])).
% 79.59/51.45 tff(26249,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB195) | (~v310(constB195)))) <=> ((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB195) | (~v310(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26250,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB195) | (~v310(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26251,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB195) | (~v310(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 79.59/51.45 tff(26252,plain,
% 79.59/51.45 (~v310(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26251, 26248, 26241])).
% 79.59/51.45 tff(26253,plain,
% 79.59/51.45 (^[VarCurr: $i] : refl((v310(VarCurr) | (~v309(VarCurr))) <=> (v310(VarCurr) | (~v309(VarCurr))))),
% 79.59/51.45 inference(bind,[status(th)],[])).
% 79.59/51.45 tff(26254,plain,
% 79.59/51.45 (![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))),
% 79.59/51.45 inference(quant_intro,[status(thm)],[26253])).
% 79.59/51.45 tff(26255,plain,
% 79.59/51.45 (![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26256,axiom,(![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_96_1_1_1_1')).
% 79.59/51.45 tff(26257,plain,
% 79.59/51.45 (![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 79.59/51.45 tff(26258,plain,(
% 79.59/51.45 ![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))),
% 79.59/51.45 inference(skolemize,[status(sab)],[26257])).
% 79.59/51.45 tff(26259,plain,
% 79.59/51.45 (![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26258, 26254])).
% 79.59/51.45 tff(26260,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB195) | (~v309(constB195)))) <=> ((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB195) | (~v309(constB195)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26261,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB195) | (~v309(constB195)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26262,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB195) | (~v309(constB195))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 79.59/51.45 tff(26263,plain,
% 79.59/51.45 (~v309(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26262, 26259, 26252])).
% 79.59/51.45 tff(26264,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB195) | (~v289(constB195)) | v288(constB195))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB195) | (~v289(constB195)) | v288(constB195))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26265,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB195) | (~v289(constB195)) | v288(constB195))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26266,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB195) | (~v289(constB195)) | v288(constB195)),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26265, 26264])).
% 79.59/51.45 tff(26267,plain,
% 79.59/51.45 ((~v289(constB195)) | v288(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26266, 12438, 26263])).
% 79.59/51.45 tff(26268,plain,
% 79.59/51.45 (v288(constB195)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26267, 25943])).
% 79.59/51.45 tff(26269,plain,
% 79.59/51.45 ($false),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26268, 20924])).
% 79.59/51.45 tff(26270,plain,((~(constB195 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.45 tff(26271,plain,
% 79.59/51.45 (~(constB195 = sK0_VarCurr)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26270, 1])).
% 79.59/51.45 tff(26272,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 79.59/51.45 tff(26273,plain,
% 79.59/51.45 (v288(constB155) <=> v288(sK0_VarCurr)),
% 79.59/51.45 inference(monotonicity,[status(thm)],[26272])).
% 79.59/51.45 tff(26274,plain,
% 79.59/51.45 (v288(sK0_VarCurr) <=> v288(constB155)),
% 79.59/51.45 inference(symmetry,[status(thm)],[26273])).
% 79.59/51.45 tff(26275,plain,
% 79.59/51.45 ((~v288(sK0_VarCurr)) <=> (~v288(constB155))),
% 79.59/51.45 inference(monotonicity,[status(thm)],[26274])).
% 79.59/51.45 tff(26276,plain,
% 79.59/51.45 (~v288(constB155)),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[1, 26275])).
% 79.59/51.45 tff(26277,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB155) | (~v297(constB155)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB155) | (~v297(constB155)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26278,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB155) | (~v297(constB155)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26279,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB155) | (~v297(constB155))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26278, 26277])).
% 79.59/51.45 tff(26280,plain,
% 79.59/51.45 (~v297(constB155)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26279, 11288, 20365])).
% 79.59/51.45 tff(26281,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB153)) | v140(constB153) | v139(constB153))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB153)) | v140(constB153) | v139(constB153))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26282,plain,
% 79.59/51.45 ((v140(constB153) | v139(constB153) | (~v168(constB153))) <=> ((~v168(constB153)) | v140(constB153) | v139(constB153))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26283,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB153)) | v140(constB153) | v139(constB153)))),
% 79.59/51.45 inference(monotonicity,[status(thm)],[26282])).
% 79.59/51.45 tff(26284,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB153)) | v140(constB153) | v139(constB153))),
% 79.59/51.45 inference(transitivity,[status(thm)],[26283, 26281])).
% 79.59/51.45 tff(26285,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26286,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB153)) | v140(constB153) | v139(constB153)),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26285, 26284])).
% 79.59/51.45 tff(26287,plain,
% 79.59/51.45 (~v168(constB153)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26286, 10907, 20196, 20192])).
% 79.59/51.45 tff(26288,plain,
% 79.59/51.45 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB153)) | (~v226(constB153)) | v168(constB153))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB153)) | (~v226(constB153)) | v168(constB153))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26289,plain,
% 79.59/51.45 ((v168(constB153) | (~v226(constB153)) | (~v161(constB153))) <=> ((~v161(constB153)) | (~v226(constB153)) | v168(constB153))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26290,plain,
% 79.59/51.45 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB153) | (~v226(constB153)) | (~v161(constB153)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB153)) | (~v226(constB153)) | v168(constB153)))),
% 79.59/51.45 inference(monotonicity,[status(thm)],[26289])).
% 79.59/51.45 tff(26291,plain,
% 79.59/51.45 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB153) | (~v226(constB153)) | (~v161(constB153)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB153)) | (~v226(constB153)) | v168(constB153))),
% 79.59/51.45 inference(transitivity,[status(thm)],[26290, 26288])).
% 79.59/51.45 tff(26292,plain,
% 79.59/51.45 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB153) | (~v226(constB153)) | (~v161(constB153)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26293,plain,
% 79.59/51.45 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB153)) | (~v226(constB153)) | v168(constB153)),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26292, 26291])).
% 79.59/51.45 tff(26294,plain,
% 79.59/51.45 ((~v161(constB153)) | (~v226(constB153))),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26293, 10975, 26287])).
% 79.59/51.45 tff(26295,plain,
% 79.59/51.45 (~v161(constB153)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26294, 20148])).
% 79.59/51.45 tff(26296,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB153) | (~v187(constB153)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB153) | (~v187(constB153)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.45 tff(26297,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB153) | (~v187(constB153)))),
% 79.59/51.45 inference(quant_inst,[status(thm)],[])).
% 79.59/51.45 tff(26298,plain,
% 79.59/51.45 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB153) | (~v187(constB153))),
% 79.59/51.45 inference(modus_ponens,[status(thm)],[26297, 26296])).
% 79.59/51.45 tff(26299,plain,
% 79.59/51.45 (~v187(constB153)),
% 79.59/51.45 inference(unit_resolution,[status(thm)],[26298, 10989, 26295])).
% 79.59/51.45 tff(26300,plain,
% 79.59/51.45 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB153) | (~v185(constB153)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB153) | (~v185(constB153)))),
% 79.59/51.45 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26301,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB153) | (~v185(constB153)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26302,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB153) | (~v185(constB153))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26301, 26300])).
% 79.59/51.46 tff(26303,plain,
% 79.59/51.46 (~v185(constB153)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26302, 11000, 26299])).
% 79.59/51.46 tff(26304,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB153)) | (~v183(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB153)) | (~v183(constB153)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26305,plain,
% 79.59/51.46 (((~v183(constB153)) | (~v181(constB153))) <=> ((~v181(constB153)) | (~v183(constB153)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26306,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB153)) | (~v181(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB153)) | (~v183(constB153))))),
% 79.59/51.46 inference(monotonicity,[status(thm)],[26305])).
% 79.59/51.46 tff(26307,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB153)) | (~v181(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB153)) | (~v183(constB153)))),
% 79.59/51.46 inference(transitivity,[status(thm)],[26306, 26304])).
% 79.59/51.46 tff(26308,plain,
% 79.59/51.46 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB153)) | (~v181(constB153)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26309,plain,
% 79.59/51.46 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB153)) | (~v183(constB153))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 79.59/51.46 tff(26310,plain,
% 79.59/51.46 (~v181(constB153)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26309, 11059, 20321])).
% 79.59/51.46 tff(26311,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB153) | v185(constB153) | (~v178(constB153)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB153) | v185(constB153) | (~v178(constB153)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26312,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB153) | v185(constB153) | (~v178(constB153)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26313,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB153) | v185(constB153) | (~v178(constB153))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26312, 26311])).
% 79.59/51.46 tff(26314,plain,
% 79.59/51.46 (v185(constB153) | (~v178(constB153))),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26313, 11073, 26310])).
% 79.59/51.46 tff(26315,plain,
% 79.59/51.46 (~v178(constB153)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26314, 26303])).
% 79.59/51.46 tff(26316,plain,
% 79.59/51.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26317,plain,
% 79.59/51.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26318,plain,
% 79.59/51.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26317, 26316])).
% 79.59/51.46 tff(26319,plain,
% 79.59/51.46 (v178(constB153) | (~v180(constB154))),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26318, 11088, 18789])).
% 79.59/51.46 tff(26320,plain,
% 79.59/51.46 (~v180(constB154)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26319, 26315])).
% 79.59/51.46 tff(26321,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB154) | (~v181(constB154)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB154) | (~v181(constB154)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26322,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB154) | (~v181(constB154)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26323,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB154) | (~v181(constB154))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 79.59/51.46 tff(26324,plain,
% 79.59/51.46 (~v181(constB154)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26323, 11100, 26320])).
% 79.59/51.46 tff(26325,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB154) | (~v187(constB154)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB154) | (~v187(constB154)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26326,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB154) | (~v187(constB154)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26327,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB154) | (~v187(constB154))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26326, 26325])).
% 79.59/51.46 tff(26328,plain,
% 79.59/51.46 (~v187(constB154)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26327, 11122, 20343])).
% 79.59/51.46 tff(26329,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB154) | (~v185(constB154)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB154) | (~v185(constB154)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26330,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB154) | (~v185(constB154)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26331,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB154) | (~v185(constB154))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26330, 26329])).
% 79.59/51.46 tff(26332,plain,
% 79.59/51.46 (~v185(constB154)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26331, 11000, 26328])).
% 79.59/51.46 tff(26333,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB154) | v185(constB154) | (~v178(constB154)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB154) | v185(constB154) | (~v178(constB154)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26334,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB154) | v185(constB154) | (~v178(constB154)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26335,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB154) | v185(constB154) | (~v178(constB154))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26334, 26333])).
% 79.59/51.46 tff(26336,plain,
% 79.59/51.46 (v181(constB154) | (~v178(constB154))),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26335, 11073, 26332])).
% 79.59/51.46 tff(26337,plain,
% 79.59/51.46 (~v178(constB154)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26336, 26324])).
% 79.59/51.46 tff(26338,plain,
% 79.59/51.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26339,plain,
% 79.59/51.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26340,plain,
% 79.59/51.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26339, 26338])).
% 79.59/51.46 tff(26341,plain,
% 79.59/51.46 (v178(constB154) | (~v180(constB155))),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26340, 11088, 18851])).
% 79.59/51.46 tff(26342,plain,
% 79.59/51.46 (~v180(constB155)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26341, 26337])).
% 79.59/51.46 tff(26343,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB155) | (~v293(constB155)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB155) | (~v293(constB155)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26344,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB155) | (~v293(constB155)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26345,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB155) | (~v293(constB155))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26344, 26343])).
% 79.59/51.46 tff(26346,plain,
% 79.59/51.46 (~v293(constB155)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26345, 11437, 26342])).
% 79.59/51.46 tff(26347,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB155) | v297(constB155) | (~v292(constB155)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB155) | v297(constB155) | (~v292(constB155)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26348,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB155) | v297(constB155) | (~v292(constB155)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26349,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB155) | v297(constB155) | (~v292(constB155))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26348, 26347])).
% 79.59/51.46 tff(26350,plain,
% 79.59/51.46 (v297(constB155) | (~v292(constB155))),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26349, 11451, 26346])).
% 79.59/51.46 tff(26351,plain,
% 79.59/51.46 (~v292(constB155)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26350, 26280])).
% 79.59/51.46 tff(26352,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB155) | (~v302(constB155)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB155) | (~v302(constB155)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26353,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB155) | (~v302(constB155)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26354,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB155) | (~v302(constB155))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 79.59/51.46 tff(26355,plain,
% 79.59/51.46 (~v302(constB155)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26354, 11789, 20776])).
% 79.59/51.46 tff(26356,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB155) | v302(constB155) | v292(constB155))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB155) | v302(constB155) | v292(constB155))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26357,plain,
% 79.59/51.46 ((v292(constB155) | v302(constB155) | v290(constB155)) <=> (v290(constB155) | v302(constB155) | v292(constB155))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26358,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB155) | v302(constB155) | v290(constB155))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB155) | v302(constB155) | v292(constB155)))),
% 79.59/51.46 inference(monotonicity,[status(thm)],[26357])).
% 79.59/51.46 tff(26359,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB155) | v302(constB155) | v290(constB155))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB155) | v302(constB155) | v292(constB155))),
% 79.59/51.46 inference(transitivity,[status(thm)],[26358, 26356])).
% 79.59/51.46 tff(26360,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB155) | v302(constB155) | v290(constB155))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26361,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB155) | v302(constB155) | v292(constB155)),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 79.59/51.46 tff(26362,plain,
% 79.59/51.46 (v290(constB155) | v292(constB155)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26361, 11803, 26355])).
% 79.59/51.46 tff(26363,plain,
% 79.59/51.46 (v290(constB155)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26362, 26351])).
% 79.59/51.46 tff(26364,plain,
% 79.59/51.46 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26365,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26366,plain,
% 79.59/51.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0))),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26365, 26364])).
% 79.59/51.46 tff(26367,plain,
% 79.59/51.46 (~v88(constB145, bitIndex0)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26366, 10755, 17866])).
% 79.59/51.46 tff(26368,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26369,plain,
% 79.59/51.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26370,plain,
% 79.59/51.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2)),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 79.59/51.46 tff(26371,plain,
% 79.59/51.46 (v88(constB145, bitIndex2)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26370, 10735, 17801])).
% 79.59/51.46 tff(26372,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26373,plain,
% 79.59/51.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 79.59/51.46 inference(quant_inst,[status(thm)],[])).
% 79.59/51.46 tff(26374,plain,
% 79.59/51.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1)),
% 79.59/51.46 inference(modus_ponens,[status(thm)],[26373, 26372])).
% 79.59/51.46 tff(26375,plain,
% 79.59/51.46 (v88(constB145, bitIndex1)),
% 79.59/51.46 inference(unit_resolution,[status(thm)],[26374, 10690, 17832])).
% 79.59/51.46 tff(26376,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26377,plain,
% 79.59/51.46 (((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145)) <=> ((~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 79.59/51.46 inference(rewrite,[status(thm)],[])).
% 79.59/51.46 tff(26378,plain,
% 79.59/51.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))),
% 79.59/51.47 inference(monotonicity,[status(thm)],[26377])).
% 79.59/51.47 tff(26379,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 79.59/51.47 inference(transitivity,[status(thm)],[26378, 26376])).
% 79.59/51.47 tff(26380,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26381,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26380, 26379])).
% 79.59/51.47 tff(26382,plain,
% 79.59/51.47 (v144(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26381, 10769, 26375, 26371, 26367])).
% 79.59/51.47 tff(26383,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26384,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26385,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26384, 26383])).
% 79.59/51.47 tff(26386,plain,
% 79.59/51.47 (v142(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26385, 10784, 26382])).
% 79.59/51.47 tff(26387,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB145) | (~v142(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26388,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB145) | (~v142(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26389,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB145) | (~v142(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26388, 26387])).
% 79.59/51.47 tff(26390,plain,
% 79.59/51.47 (v227(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26389, 10806, 26386])).
% 79.59/51.47 tff(26391,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB145) | (~v227(constB145)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB145) | (~v227(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26392,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB145) | (~v227(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26393,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB145) | (~v227(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26392, 26391])).
% 79.59/51.47 tff(26394,plain,
% 79.59/51.47 (v226(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26393, 10817, 26390])).
% 79.59/51.47 tff(26395,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v139(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26396,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26397,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v139(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 79.59/51.47 tff(26398,plain,
% 79.59/51.47 (~v139(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26397, 11863, 26375])).
% 79.59/51.47 tff(26399,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v140(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26400,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26401,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v140(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26400, 26399])).
% 79.59/51.47 tff(26402,plain,
% 79.59/51.47 (~v140(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26401, 11526, 26375])).
% 79.59/51.47 tff(26403,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB145) | v139(constB145) | (~v168(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26404,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26405,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB145) | v139(constB145) | (~v168(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26404, 26403])).
% 79.59/51.47 tff(26406,plain,
% 79.59/51.47 (~v168(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26405, 10907, 26402, 26398])).
% 79.59/51.47 tff(26407,plain,
% 79.59/51.47 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB145)) | (~v226(constB145)) | v168(constB145))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB145)) | (~v226(constB145)) | v168(constB145))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26408,plain,
% 79.59/51.47 ((v168(constB145) | (~v226(constB145)) | (~v161(constB145))) <=> ((~v161(constB145)) | (~v226(constB145)) | v168(constB145))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26409,plain,
% 79.59/51.47 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB145) | (~v226(constB145)) | (~v161(constB145)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB145)) | (~v226(constB145)) | v168(constB145)))),
% 79.59/51.47 inference(monotonicity,[status(thm)],[26408])).
% 79.59/51.47 tff(26410,plain,
% 79.59/51.47 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB145) | (~v226(constB145)) | (~v161(constB145)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB145)) | (~v226(constB145)) | v168(constB145))),
% 79.59/51.47 inference(transitivity,[status(thm)],[26409, 26407])).
% 79.59/51.47 tff(26411,plain,
% 79.59/51.47 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB145) | (~v226(constB145)) | (~v161(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26412,plain,
% 79.59/51.47 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB145)) | (~v226(constB145)) | v168(constB145)),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 79.59/51.47 tff(26413,plain,
% 79.59/51.47 ((~v161(constB145)) | (~v226(constB145))),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26412, 10975, 26406])).
% 79.59/51.47 tff(26414,plain,
% 79.59/51.47 (~v161(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26413, 26394])).
% 79.59/51.47 tff(26415,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB145) | (~v187(constB145)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB145) | (~v187(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26416,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB145) | (~v187(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26417,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB145) | (~v187(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 79.59/51.47 tff(26418,plain,
% 79.59/51.47 (~v187(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26417, 10989, 26414])).
% 79.59/51.47 tff(26419,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26420,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26421,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 79.59/51.47 tff(26422,plain,
% 79.59/51.47 (~v185(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26421, 11000, 26418])).
% 79.59/51.47 tff(26423,assumption,(v18(constB146)), introduced(assumption)).
% 79.59/51.47 tff(26424,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB146))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26425,plain,
% 79.59/51.47 ($false),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26424, 70, 26423])).
% 79.59/51.47 tff(26426,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.47 tff(26427,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26428,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26429,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 79.59/51.47 tff(26430,plain,
% 79.59/51.47 (v22(constB146)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26429, 83, 17913])).
% 79.59/51.47 tff(26431,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26432,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26433,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146)),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26432, 26431])).
% 79.59/51.47 tff(26434,plain,
% 79.59/51.47 ((~v19(constB146)) | v18(constB146)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26433, 97, 26430])).
% 79.59/51.47 tff(26435,plain,
% 79.59/51.47 (~v19(constB146)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26434, 26426])).
% 79.59/51.47 tff(26436,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26437,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26438,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26437, 26436])).
% 79.59/51.47 tff(26439,plain,
% 79.59/51.47 (v13(constB146)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26438, 112, 26435])).
% 79.59/51.47 tff(26440,plain,
% 79.59/51.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26441,plain,
% 79.59/51.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26442,plain,
% 79.59/51.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145)),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 79.59/51.47 tff(26443,plain,
% 79.59/51.47 ((~v13(constB146)) | v9(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26442, 129, 17893])).
% 79.59/51.47 tff(26444,plain,
% 79.59/51.47 (v9(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26443, 26439])).
% 79.59/51.47 tff(26445,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26446,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26447,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145)),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26446, 26445])).
% 79.59/51.47 tff(26448,plain,
% 79.59/51.47 ((~v9(constB145)) | v184(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26447, 11036, 17777])).
% 79.59/51.47 tff(26449,plain,
% 79.59/51.47 (v184(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26448, 26444])).
% 79.59/51.47 tff(26450,plain,
% 79.59/51.47 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB145) | (~v184(constB145)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB145) | (~v184(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26451,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB145) | (~v184(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26452,plain,
% 79.59/51.47 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB145) | (~v184(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 79.59/51.47 tff(26453,plain,
% 79.59/51.47 (v183(constB145)),
% 79.59/51.47 inference(unit_resolution,[status(thm)],[26452, 11048, 26449])).
% 79.59/51.47 tff(26454,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB145)) | (~v183(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26455,plain,
% 79.59/51.47 (((~v183(constB145)) | (~v181(constB145))) <=> ((~v181(constB145)) | (~v183(constB145)))),
% 79.59/51.47 inference(rewrite,[status(thm)],[])).
% 79.59/51.47 tff(26456,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB145)) | (~v181(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145))))),
% 79.59/51.47 inference(monotonicity,[status(thm)],[26455])).
% 79.59/51.47 tff(26457,plain,
% 79.59/51.47 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB145)) | (~v181(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB145)) | (~v183(constB145)))),
% 79.59/51.47 inference(transitivity,[status(thm)],[26456, 26454])).
% 79.59/51.47 tff(26458,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB145)) | (~v181(constB145)))),
% 79.59/51.47 inference(quant_inst,[status(thm)],[])).
% 79.59/51.47 tff(26459,plain,
% 79.59/51.47 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB145)) | (~v183(constB145))),
% 79.59/51.47 inference(modus_ponens,[status(thm)],[26458, 26457])).
% 79.59/51.47 tff(26460,plain,
% 79.59/51.47 (~v181(constB145)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26459, 11059, 26453])).
% 79.59/51.48 tff(26461,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26462,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26463,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 79.59/51.48 tff(26464,plain,
% 79.59/51.48 (v185(constB145) | (~v178(constB145))),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26463, 11073, 26460])).
% 79.59/51.48 tff(26465,plain,
% 79.59/51.48 (~v178(constB145)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26464, 26422])).
% 79.59/51.48 tff(26466,plain,
% 79.59/51.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26467,plain,
% 79.59/51.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26468,plain,
% 79.59/51.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 79.59/51.48 tff(26469,plain,
% 79.59/51.48 (v178(constB145) | (~v180(constB146))),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26468, 11088, 17893])).
% 79.59/51.48 tff(26470,plain,
% 79.59/51.48 (~v180(constB146)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26469, 26465])).
% 79.59/51.48 tff(26471,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26472,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26473,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26472, 26471])).
% 79.59/51.48 tff(26474,plain,
% 79.59/51.48 (~v181(constB146)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26473, 11100, 26470])).
% 79.59/51.48 tff(26475,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26476,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26477,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26476, 26475])).
% 79.59/51.48 tff(26478,plain,
% 79.59/51.48 (~v184(constB146)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26477, 11111, 17913])).
% 79.59/51.48 tff(26479,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26480,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26481,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26480, 26479])).
% 79.59/51.48 tff(26482,plain,
% 79.59/51.48 (~v187(constB146)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26481, 11122, 26478])).
% 79.59/51.48 tff(26483,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26484,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26485,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 79.59/51.48 tff(26486,plain,
% 79.59/51.48 (~v185(constB146)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26485, 11000, 26482])).
% 79.59/51.48 tff(26487,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26488,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26489,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26488, 26487])).
% 79.59/51.48 tff(26490,plain,
% 79.59/51.48 (v181(constB146) | (~v178(constB146))),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26489, 11073, 26486])).
% 79.59/51.48 tff(26491,plain,
% 79.59/51.48 (~v178(constB146)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26490, 26474])).
% 79.59/51.48 tff(26492,plain,
% 79.59/51.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26493,plain,
% 79.59/51.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26494,plain,
% 79.59/51.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26493, 26492])).
% 79.59/51.48 tff(26495,plain,
% 79.59/51.48 (v178(constB146) | (~v180(constB147))),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26494, 11088, 17985])).
% 79.59/51.48 tff(26496,plain,
% 79.59/51.48 (~v180(constB147)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26495, 26491])).
% 79.59/51.48 tff(26497,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB147) | (~v215(constB147)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB147) | (~v215(constB147)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26498,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB147) | (~v215(constB147)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26499,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB147) | (~v215(constB147))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 79.59/51.48 tff(26500,plain,
% 79.59/51.48 (~v215(constB147)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26499, 11147, 26496])).
% 79.59/51.48 tff(26501,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26502,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26503,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2)),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 79.59/51.48 tff(26504,plain,
% 79.59/51.48 (v88(constB143, bitIndex2)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26503, 10735, 17617])).
% 79.59/51.48 tff(26505,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v140(constB143)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26506,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26507,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v140(constB143))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 79.59/51.48 tff(26508,plain,
% 79.59/51.48 (~v140(constB143)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26507, 10893, 26504])).
% 79.59/51.48 tff(26509,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26510,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26511,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0)),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 79.59/51.48 tff(26512,plain,
% 79.59/51.48 (v88(constB143, bitIndex0)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26511, 11313, 17690])).
% 79.59/51.48 tff(26513,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v139(constB143)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26514,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26515,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v139(constB143))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26514, 26513])).
% 79.59/51.48 tff(26516,plain,
% 79.59/51.48 (~v139(constB143)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26515, 11324, 26512])).
% 79.59/51.48 tff(26517,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v168(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB143) | v139(constB143) | (~v168(constB143)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26518,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v168(constB143)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26519,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB143) | v139(constB143) | (~v168(constB143))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26518, 26517])).
% 79.59/51.48 tff(26520,plain,
% 79.59/51.48 (~v168(constB143)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26519, 10907, 26516, 26508])).
% 79.59/51.48 tff(26521,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26522,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26523,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26522, 26521])).
% 79.59/51.48 tff(26524,plain,
% 79.59/51.48 (~v88(constB143, bitIndex1)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26523, 10918, 17659])).
% 79.59/51.48 tff(26525,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v88(constB143, bitIndex1) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v88(constB143, bitIndex1) | v147(constB143))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26526,plain,
% 79.59/51.48 (((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143)) <=> ((~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v88(constB143, bitIndex1) | v147(constB143))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26527,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v88(constB143, bitIndex1) | v147(constB143)))),
% 79.59/51.48 inference(monotonicity,[status(thm)],[26526])).
% 79.59/51.48 tff(26528,plain,
% 79.59/51.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v88(constB143, bitIndex1) | v147(constB143))),
% 79.59/51.48 inference(transitivity,[status(thm)],[26527, 26525])).
% 79.59/51.48 tff(26529,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26530,plain,
% 79.59/51.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v88(constB143, bitIndex1) | v147(constB143)),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 79.59/51.48 tff(26531,plain,
% 79.59/51.48 (v147(constB143)),
% 79.59/51.48 inference(unit_resolution,[status(thm)],[26530, 11353, 26512, 26504, 26524])).
% 79.59/51.48 tff(26532,plain,
% 79.59/51.48 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB143) | (~v147(constB143)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB143) | (~v147(constB143)))),
% 79.59/51.48 inference(rewrite,[status(thm)],[])).
% 79.59/51.48 tff(26533,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB143) | (~v147(constB143)))),
% 79.59/51.48 inference(quant_inst,[status(thm)],[])).
% 79.59/51.48 tff(26534,plain,
% 79.59/51.48 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB143) | (~v147(constB143))),
% 79.59/51.48 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 79.59/51.48 tff(26535,plain,
% 79.59/51.48 (v145(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26534, 11368, 26531])).
% 79.59/51.49 tff(26536,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB143) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB143) | (~v145(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26537,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB143) | (~v145(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26538,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB143) | (~v145(constB143))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 79.59/51.49 tff(26539,plain,
% 79.59/51.49 (v226(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26538, 10961, 26535])).
% 79.59/51.49 tff(26540,plain,
% 79.59/51.49 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB143)) | (~v226(constB143)) | v168(constB143))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB143)) | (~v226(constB143)) | v168(constB143))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26541,plain,
% 79.59/51.49 ((v168(constB143) | (~v226(constB143)) | (~v161(constB143))) <=> ((~v161(constB143)) | (~v226(constB143)) | v168(constB143))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26542,plain,
% 79.59/51.49 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB143) | (~v226(constB143)) | (~v161(constB143)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB143)) | (~v226(constB143)) | v168(constB143)))),
% 79.59/51.49 inference(monotonicity,[status(thm)],[26541])).
% 79.59/51.49 tff(26543,plain,
% 79.59/51.49 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB143) | (~v226(constB143)) | (~v161(constB143)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB143)) | (~v226(constB143)) | v168(constB143))),
% 79.59/51.49 inference(transitivity,[status(thm)],[26542, 26540])).
% 79.59/51.49 tff(26544,plain,
% 79.59/51.49 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB143) | (~v226(constB143)) | (~v161(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26545,plain,
% 79.59/51.49 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB143)) | (~v226(constB143)) | v168(constB143)),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 79.59/51.49 tff(26546,plain,
% 79.59/51.49 (~v161(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26545, 10975, 26539, 26520])).
% 79.59/51.49 tff(26547,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB143) | (~v187(constB143)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB143) | (~v187(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26548,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB143) | (~v187(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26549,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB143) | (~v187(constB143))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26548, 26547])).
% 79.59/51.49 tff(26550,plain,
% 79.59/51.49 (~v187(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26549, 10989, 26546])).
% 79.59/51.49 tff(26551,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB143) | (~v185(constB143)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB143) | (~v185(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26552,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB143) | (~v185(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26553,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB143) | (~v185(constB143))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26552, 26551])).
% 79.59/51.49 tff(26554,plain,
% 79.59/51.49 (~v185(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26553, 11000, 26550])).
% 79.59/51.49 tff(26555,assumption,(v18(constB144)), introduced(assumption)).
% 79.59/51.49 tff(26556,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB144))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26557,plain,
% 79.59/51.49 ($false),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26556, 70, 26555])).
% 79.59/51.49 tff(26558,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.49 tff(26559,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26560,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26561,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26560, 26559])).
% 79.59/51.49 tff(26562,plain,
% 79.59/51.49 (v22(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26561, 83, 17738])).
% 79.59/51.49 tff(26563,plain,
% 79.59/51.49 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26564,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26565,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144)),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26564, 26563])).
% 79.59/51.49 tff(26566,plain,
% 79.59/51.49 ((~v19(constB144)) | v18(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26565, 97, 26562])).
% 79.59/51.49 tff(26567,plain,
% 79.59/51.49 (~v19(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26566, 26558])).
% 79.59/51.49 tff(26568,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26569,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26570,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26569, 26568])).
% 79.59/51.49 tff(26571,plain,
% 79.59/51.49 (v13(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26570, 112, 26567])).
% 79.59/51.49 tff(26572,plain,
% 79.59/51.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26573,plain,
% 79.59/51.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26574,plain,
% 79.59/51.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143)),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26573, 26572])).
% 79.59/51.49 tff(26575,plain,
% 79.59/51.49 ((~v13(constB144)) | v9(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26574, 129, 17718])).
% 79.59/51.49 tff(26576,plain,
% 79.59/51.49 (v9(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26575, 26571])).
% 79.59/51.49 tff(26577,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v184(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB143) | (~v9(constB143)) | v184(constB143))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26578,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v184(constB143))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26579,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB143) | (~v9(constB143)) | v184(constB143)),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26578, 26577])).
% 79.59/51.49 tff(26580,plain,
% 79.59/51.49 ((~v9(constB143)) | v184(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26579, 11036, 17593])).
% 79.59/51.49 tff(26581,plain,
% 79.59/51.49 (v184(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26580, 26576])).
% 79.59/51.49 tff(26582,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB143) | (~v184(constB143)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB143) | (~v184(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26583,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB143) | (~v184(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26584,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB143) | (~v184(constB143))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26583, 26582])).
% 79.59/51.49 tff(26585,plain,
% 79.59/51.49 (v183(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26584, 11048, 26581])).
% 79.59/51.49 tff(26586,plain,
% 79.59/51.49 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB143)) | (~v183(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB143)) | (~v183(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26587,plain,
% 79.59/51.49 (((~v183(constB143)) | (~v181(constB143))) <=> ((~v181(constB143)) | (~v183(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26588,plain,
% 79.59/51.49 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB143)) | (~v181(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB143)) | (~v183(constB143))))),
% 79.59/51.49 inference(monotonicity,[status(thm)],[26587])).
% 79.59/51.49 tff(26589,plain,
% 79.59/51.49 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB143)) | (~v181(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB143)) | (~v183(constB143)))),
% 79.59/51.49 inference(transitivity,[status(thm)],[26588, 26586])).
% 79.59/51.49 tff(26590,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB143)) | (~v181(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26591,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB143)) | (~v183(constB143))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 79.59/51.49 tff(26592,plain,
% 79.59/51.49 (~v181(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26591, 11059, 26585])).
% 79.59/51.49 tff(26593,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB143) | v185(constB143) | (~v178(constB143)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB143) | v185(constB143) | (~v178(constB143)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26594,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB143) | v185(constB143) | (~v178(constB143)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26595,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB143) | v185(constB143) | (~v178(constB143))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26594, 26593])).
% 79.59/51.49 tff(26596,plain,
% 79.59/51.49 (v185(constB143) | (~v178(constB143))),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26595, 11073, 26592])).
% 79.59/51.49 tff(26597,plain,
% 79.59/51.49 (~v178(constB143)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26596, 26554])).
% 79.59/51.49 tff(26598,plain,
% 79.59/51.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26599,plain,
% 79.59/51.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26600,plain,
% 79.59/51.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 79.59/51.49 tff(26601,plain,
% 79.59/51.49 (v178(constB143) | (~v180(constB144))),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26600, 11088, 17718])).
% 79.59/51.49 tff(26602,plain,
% 79.59/51.49 (~v180(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26601, 26597])).
% 79.59/51.49 tff(26603,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB144) | (~v181(constB144)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB144) | (~v181(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26604,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB144) | (~v181(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26605,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB144) | (~v181(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 79.59/51.49 tff(26606,plain,
% 79.59/51.49 (~v181(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26605, 11100, 26602])).
% 79.59/51.49 tff(26607,plain,
% 79.59/51.49 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB144)) | (~v184(constB144)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB144)) | (~v184(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26608,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB144)) | (~v184(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26609,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB144)) | (~v184(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26608, 26607])).
% 79.59/51.49 tff(26610,plain,
% 79.59/51.49 (~v184(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26609, 11111, 17738])).
% 79.59/51.49 tff(26611,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB144) | (~v187(constB144)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB144) | (~v187(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26612,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB144) | (~v187(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26613,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB144) | (~v187(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26612, 26611])).
% 79.59/51.49 tff(26614,plain,
% 79.59/51.49 (~v187(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26613, 11122, 26610])).
% 79.59/51.49 tff(26615,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB144) | (~v185(constB144)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB144) | (~v185(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26616,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB144) | (~v185(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26617,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB144) | (~v185(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 79.59/51.49 tff(26618,plain,
% 79.59/51.49 (~v185(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26617, 11000, 26614])).
% 79.59/51.49 tff(26619,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB144) | v185(constB144) | (~v178(constB144)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB144) | v185(constB144) | (~v178(constB144)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26620,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB144) | v185(constB144) | (~v178(constB144)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26621,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB144) | v185(constB144) | (~v178(constB144))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26620, 26619])).
% 79.59/51.49 tff(26622,plain,
% 79.59/51.49 (v181(constB144) | (~v178(constB144))),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26621, 11073, 26618])).
% 79.59/51.49 tff(26623,plain,
% 79.59/51.49 (~v178(constB144)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26622, 26606])).
% 79.59/51.49 tff(26624,plain,
% 79.59/51.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26625,plain,
% 79.59/51.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26626,plain,
% 79.59/51.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 79.59/51.49 tff(26627,plain,
% 79.59/51.49 (v178(constB144) | (~v180(constB145))),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26626, 11088, 17780])).
% 79.59/51.49 tff(26628,plain,
% 79.59/51.49 (~v180(constB145)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26627, 26623])).
% 79.59/51.49 tff(26629,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB145) | (~v215(constB145)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB145) | (~v215(constB145)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26630,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB145) | (~v215(constB145)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26631,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB145) | (~v215(constB145))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 79.59/51.49 tff(26632,plain,
% 79.59/51.49 (~v215(constB145)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26631, 11147, 26628])).
% 79.59/51.49 tff(26633,plain,
% 79.59/51.49 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB145)) | (~v214(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB145)) | (~v214(constB145)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26634,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB145)) | (~v214(constB145)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26635,plain,
% 79.59/51.49 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB145)) | (~v214(constB145))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 79.59/51.49 tff(26636,plain,
% 79.59/51.49 (~v214(constB145)),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26635, 11189, 26453])).
% 79.59/51.49 tff(26637,plain,
% 79.59/51.49 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB145) | v215(constB145) | (~v211(constB145)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB145) | v215(constB145) | (~v211(constB145)))),
% 79.59/51.49 inference(rewrite,[status(thm)],[])).
% 79.59/51.49 tff(26638,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB145) | v215(constB145) | (~v211(constB145)))),
% 79.59/51.49 inference(quant_inst,[status(thm)],[])).
% 79.59/51.49 tff(26639,plain,
% 79.59/51.49 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB145) | v215(constB145) | (~v211(constB145))),
% 79.59/51.49 inference(modus_ponens,[status(thm)],[26638, 26637])).
% 79.59/51.49 tff(26640,plain,
% 79.59/51.49 (v215(constB145) | (~v211(constB145))),
% 79.59/51.49 inference(unit_resolution,[status(thm)],[26639, 11203, 26636])).
% 79.59/51.49 tff(26641,plain,
% 79.59/51.50 (~v211(constB145)),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26640, 26632])).
% 79.59/51.50 tff(26642,plain,
% 79.59/51.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146)))),
% 79.59/51.50 inference(rewrite,[status(thm)],[])).
% 79.59/51.50 tff(26643,plain,
% 79.59/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146)))),
% 79.59/51.50 inference(quant_inst,[status(thm)],[])).
% 79.59/51.50 tff(26644,plain,
% 79.59/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146))),
% 79.59/51.50 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 79.59/51.50 tff(26645,plain,
% 79.59/51.50 (v211(constB145) | (~v213(constB146))),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26644, 11218, 17893])).
% 79.59/51.50 tff(26646,plain,
% 79.59/51.50 (~v213(constB146)),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26645, 26641])).
% 79.59/51.50 tff(26647,plain,
% 79.59/51.50 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB146) | (~v214(constB146)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB146) | (~v214(constB146)))),
% 79.59/51.50 inference(rewrite,[status(thm)],[])).
% 79.59/51.50 tff(26648,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB146) | (~v214(constB146)))),
% 79.59/51.50 inference(quant_inst,[status(thm)],[])).
% 79.59/51.50 tff(26649,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB146) | (~v214(constB146))),
% 79.59/51.50 inference(modus_ponens,[status(thm)],[26648, 26647])).
% 79.59/51.50 tff(26650,plain,
% 79.59/51.50 (~v214(constB146)),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26649, 11230, 26646])).
% 79.59/51.50 tff(26651,plain,
% 79.59/51.50 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB146) | (~v217(constB146)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB146) | (~v217(constB146)))),
% 79.59/51.50 inference(rewrite,[status(thm)],[])).
% 79.59/51.50 tff(26652,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB146) | (~v217(constB146)))),
% 79.59/51.50 inference(quant_inst,[status(thm)],[])).
% 79.59/51.50 tff(26653,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB146) | (~v217(constB146))),
% 79.59/51.50 inference(modus_ponens,[status(thm)],[26652, 26651])).
% 79.59/51.50 tff(26654,plain,
% 79.59/51.50 (~v217(constB146)),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26653, 11245, 26478])).
% 79.59/51.50 tff(26655,plain,
% 79.59/51.50 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB146) | (~v216(constB146)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB146) | (~v216(constB146)))),
% 79.59/51.50 inference(rewrite,[status(thm)],[])).
% 79.59/51.50 tff(26656,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB146) | (~v216(constB146)))),
% 79.59/51.50 inference(quant_inst,[status(thm)],[])).
% 79.59/51.50 tff(26657,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB146) | (~v216(constB146))),
% 79.59/51.50 inference(modus_ponens,[status(thm)],[26656, 26655])).
% 79.59/51.50 tff(26658,plain,
% 79.59/51.50 (~v216(constB146)),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26657, 11256, 26654])).
% 79.59/51.50 tff(26659,plain,
% 79.59/51.50 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB146) | (~v215(constB146)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB146) | (~v215(constB146)))),
% 79.59/51.50 inference(rewrite,[status(thm)],[])).
% 79.59/51.50 tff(26660,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB146) | (~v215(constB146)))),
% 79.59/51.50 inference(quant_inst,[status(thm)],[])).
% 79.59/51.50 tff(26661,plain,
% 79.59/51.50 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB146) | (~v215(constB146))),
% 79.59/51.50 inference(modus_ponens,[status(thm)],[26660, 26659])).
% 79.59/51.50 tff(26662,plain,
% 79.59/51.50 (~v215(constB146)),
% 79.59/51.50 inference(unit_resolution,[status(thm)],[26661, 11267, 26658])).
% 79.67/51.50 tff(26663,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB146) | v215(constB146) | (~v211(constB146)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB146) | v215(constB146) | (~v211(constB146)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26664,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB146) | v215(constB146) | (~v211(constB146)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26665,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB146) | v215(constB146) | (~v211(constB146))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26664, 26663])).
% 79.67/51.50 tff(26666,plain,
% 79.67/51.50 (v214(constB146) | (~v211(constB146))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26665, 11203, 26662])).
% 79.67/51.50 tff(26667,plain,
% 79.67/51.50 (~v211(constB146)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26666, 26650])).
% 79.67/51.50 tff(26668,plain,
% 79.67/51.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26669,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26670,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26669, 26668])).
% 79.67/51.50 tff(26671,plain,
% 79.67/51.50 (v211(constB146) | (~v213(constB147))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26670, 11218, 17985])).
% 79.67/51.50 tff(26672,plain,
% 79.67/51.50 (~v213(constB147)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26671, 26667])).
% 79.67/51.50 tff(26673,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB147) | (~v214(constB147)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB147) | (~v214(constB147)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26674,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB147) | (~v214(constB147)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26675,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB147) | (~v214(constB147))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 79.67/51.50 tff(26676,plain,
% 79.67/51.50 (~v214(constB147)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26675, 11230, 26672])).
% 79.67/51.50 tff(26677,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB147) | v215(constB147) | (~v211(constB147)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB147) | v215(constB147) | (~v211(constB147)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26678,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB147) | v215(constB147) | (~v211(constB147)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26679,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB147) | v215(constB147) | (~v211(constB147))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26678, 26677])).
% 79.67/51.50 tff(26680,plain,
% 79.67/51.50 (v215(constB147) | (~v211(constB147))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26679, 11203, 26676])).
% 79.67/51.50 tff(26681,plain,
% 79.67/51.50 (~v211(constB147)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26680, 26500])).
% 79.67/51.50 tff(26682,plain,
% 79.67/51.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26683,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26684,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26683, 26682])).
% 79.67/51.50 tff(26685,plain,
% 79.67/51.50 (v211(constB147) | (~v213(constB148))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26684, 11218, 18124])).
% 79.67/51.50 tff(26686,plain,
% 79.67/51.50 (~v213(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26685, 26681])).
% 79.67/51.50 tff(26687,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB148) | (~v214(constB148)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB148) | (~v214(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26688,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB148) | (~v214(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26689,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB148) | (~v214(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26688, 26687])).
% 79.67/51.50 tff(26690,plain,
% 79.67/51.50 (~v214(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26689, 11230, 26686])).
% 79.67/51.50 tff(26691,plain,
% 79.67/51.50 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB148)) | (~v184(constB148)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB148)) | (~v184(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26692,plain,
% 79.67/51.50 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB148)) | (~v184(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26693,plain,
% 79.67/51.50 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB148)) | (~v184(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26692, 26691])).
% 79.67/51.50 tff(26694,plain,
% 79.67/51.50 (~v184(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26693, 11111, 18144])).
% 79.67/51.50 tff(26695,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB148) | (~v217(constB148)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB148) | (~v217(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26696,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB148) | (~v217(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26697,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB148) | (~v217(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26696, 26695])).
% 79.67/51.50 tff(26698,plain,
% 79.67/51.50 (~v217(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26697, 11245, 26694])).
% 79.67/51.50 tff(26699,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB148) | (~v216(constB148)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB148) | (~v216(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26700,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB148) | (~v216(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26701,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB148) | (~v216(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26700, 26699])).
% 79.67/51.50 tff(26702,plain,
% 79.67/51.50 (~v216(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26701, 11256, 26698])).
% 79.67/51.50 tff(26703,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB148) | (~v215(constB148)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB148) | (~v215(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26704,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB148) | (~v215(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26705,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB148) | (~v215(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26704, 26703])).
% 79.67/51.50 tff(26706,plain,
% 79.67/51.50 (~v215(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26705, 11267, 26702])).
% 79.67/51.50 tff(26707,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB148) | v215(constB148) | (~v211(constB148)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB148) | v215(constB148) | (~v211(constB148)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26708,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB148) | v215(constB148) | (~v211(constB148)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26709,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB148) | v215(constB148) | (~v211(constB148))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26708, 26707])).
% 79.67/51.50 tff(26710,plain,
% 79.67/51.50 (v214(constB148) | (~v211(constB148))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26709, 11203, 26706])).
% 79.67/51.50 tff(26711,plain,
% 79.67/51.50 (~v211(constB148)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26710, 26690])).
% 79.67/51.50 tff(26712,plain,
% 79.67/51.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26713,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26714,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26713, 26712])).
% 79.67/51.50 tff(26715,plain,
% 79.67/51.50 (v211(constB148) | (~v213(constB149))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26714, 11218, 18186])).
% 79.67/51.50 tff(26716,plain,
% 79.67/51.50 (~v213(constB149)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26715, 26711])).
% 79.67/51.50 tff(26717,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB149) | (~v245(constB149)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB149) | (~v245(constB149)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26718,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB149) | (~v245(constB149)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26719,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB149) | (~v245(constB149))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 79.67/51.50 tff(26720,plain,
% 79.67/51.50 (~v245(constB149)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26719, 11683, 26716])).
% 79.67/51.50 tff(26721,plain,
% 79.67/51.50 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB149)) | (~v244(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB149)) | (~v244(constB149)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26722,plain,
% 79.67/51.50 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB149)) | (~v244(constB149)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26723,plain,
% 79.67/51.50 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB149)) | (~v244(constB149))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26722, 26721])).
% 79.67/51.50 tff(26724,plain,
% 79.67/51.50 (~v244(constB149)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26723, 11694, 20610])).
% 79.67/51.50 tff(26725,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB149) | v245(constB149) | (~v241(constB149)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB149) | v245(constB149) | (~v241(constB149)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26726,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB149) | v245(constB149) | (~v241(constB149)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26727,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB149) | v245(constB149) | (~v241(constB149))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26726, 26725])).
% 79.67/51.50 tff(26728,plain,
% 79.67/51.50 (v245(constB149) | (~v241(constB149))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26727, 11708, 26724])).
% 79.67/51.50 tff(26729,plain,
% 79.67/51.50 (~v241(constB149)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26728, 26720])).
% 79.67/51.50 tff(26730,plain,
% 79.67/51.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB149, constB150)) | v241(constB149) | (~v243(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB149, constB150)) | v241(constB149) | (~v243(constB150)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26731,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB149, constB150)) | v241(constB149) | (~v243(constB150)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26732,plain,
% 79.67/51.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB149, constB150)) | v241(constB149) | (~v243(constB150))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26731, 26730])).
% 79.67/51.50 tff(26733,plain,
% 79.67/51.50 (v241(constB149) | (~v243(constB150))),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26732, 11723, 18387])).
% 79.67/51.50 tff(26734,plain,
% 79.67/51.50 (~v243(constB150)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26733, 26729])).
% 79.67/51.50 tff(26735,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB150) | (~v244(constB150)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB150) | (~v244(constB150)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26736,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB150) | (~v244(constB150)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26737,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB150) | (~v244(constB150))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26736, 26735])).
% 79.67/51.50 tff(26738,plain,
% 79.67/51.50 (~v244(constB150)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26737, 11735, 26734])).
% 79.67/51.50 tff(26739,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB150) | (~v247(constB150)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB150) | (~v247(constB150)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26740,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB150) | (~v247(constB150)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26741,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB150) | (~v247(constB150))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26740, 26739])).
% 79.67/51.50 tff(26742,plain,
% 79.67/51.50 (~v247(constB150)),
% 79.67/51.50 inference(unit_resolution,[status(thm)],[26741, 11746, 20635])).
% 79.67/51.50 tff(26743,plain,
% 79.67/51.50 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB150) | (~v246(constB150)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB150) | (~v246(constB150)))),
% 79.67/51.50 inference(rewrite,[status(thm)],[])).
% 79.67/51.50 tff(26744,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB150) | (~v246(constB150)))),
% 79.67/51.50 inference(quant_inst,[status(thm)],[])).
% 79.67/51.50 tff(26745,plain,
% 79.67/51.50 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB150) | (~v246(constB150))),
% 79.67/51.50 inference(modus_ponens,[status(thm)],[26744, 26743])).
% 79.67/51.51 tff(26746,plain,
% 79.67/51.51 (~v246(constB150)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26745, 11757, 26742])).
% 79.67/51.51 tff(26747,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB150) | (~v245(constB150)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB150) | (~v245(constB150)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26748,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB150) | (~v245(constB150)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26749,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB150) | (~v245(constB150))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26748, 26747])).
% 79.67/51.51 tff(26750,plain,
% 79.67/51.51 (~v245(constB150)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26749, 11768, 26746])).
% 79.67/51.51 tff(26751,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB150) | v245(constB150) | (~v241(constB150)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB150) | v245(constB150) | (~v241(constB150)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26752,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB150) | v245(constB150) | (~v241(constB150)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26753,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB150) | v245(constB150) | (~v241(constB150))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 79.67/51.51 tff(26754,plain,
% 79.67/51.51 (v244(constB150) | (~v241(constB150))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26753, 11708, 26750])).
% 79.67/51.51 tff(26755,plain,
% 79.67/51.51 (~v241(constB150)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26754, 26738])).
% 79.67/51.51 tff(26756,plain,
% 79.67/51.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB150, constB151)) | v241(constB150) | (~v243(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB150, constB151)) | v241(constB150) | (~v243(constB151)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26757,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB150, constB151)) | v241(constB150) | (~v243(constB151)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26758,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB150, constB151)) | v241(constB150) | (~v243(constB151))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26757, 26756])).
% 79.67/51.51 tff(26759,plain,
% 79.67/51.51 (v241(constB150) | (~v243(constB151))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26758, 11723, 18452])).
% 79.67/51.51 tff(26760,plain,
% 79.67/51.51 (~v243(constB151)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26759, 26755])).
% 79.67/51.51 tff(26761,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB151) | (~v260(constB151)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB151) | (~v260(constB151)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26762,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB151) | (~v260(constB151)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26763,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB151) | (~v260(constB151))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26762, 26761])).
% 79.67/51.51 tff(26764,plain,
% 79.67/51.51 (~v260(constB151)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26763, 12130, 26760])).
% 79.67/51.51 tff(26765,plain,
% 79.67/51.51 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB151)) | (~v259(constB151)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB151)) | (~v259(constB151)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26766,plain,
% 79.67/51.51 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB151)) | (~v259(constB151)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26767,plain,
% 79.67/51.51 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB151)) | (~v259(constB151))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26766, 26765])).
% 79.67/51.51 tff(26768,plain,
% 79.67/51.51 (~v259(constB151)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26767, 12141, 20688])).
% 79.67/51.51 tff(26769,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB151) | v260(constB151) | (~v256(constB151)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB151) | v260(constB151) | (~v256(constB151)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26770,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB151) | v260(constB151) | (~v256(constB151)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26771,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB151) | v260(constB151) | (~v256(constB151))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26770, 26769])).
% 79.67/51.51 tff(26772,plain,
% 79.67/51.51 (v260(constB151) | (~v256(constB151))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26771, 12155, 26768])).
% 79.67/51.51 tff(26773,plain,
% 79.67/51.51 (~v256(constB151)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26772, 26764])).
% 79.67/51.51 tff(26774,plain,
% 79.67/51.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB151, constB152)) | v256(constB151) | (~v258(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB151, constB152)) | v256(constB151) | (~v258(constB152)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26775,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB151, constB152)) | v256(constB151) | (~v258(constB152)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26776,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB151, constB152)) | v256(constB151) | (~v258(constB152))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26775, 26774])).
% 79.67/51.51 tff(26777,plain,
% 79.67/51.51 (v256(constB151) | (~v258(constB152))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26776, 12170, 18562])).
% 79.67/51.51 tff(26778,plain,
% 79.67/51.51 (~v258(constB152)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26777, 26773])).
% 79.67/51.51 tff(26779,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB152) | (~v259(constB152)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB152) | (~v259(constB152)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26780,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB152) | (~v259(constB152)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26781,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB152) | (~v259(constB152))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26780, 26779])).
% 79.67/51.51 tff(26782,plain,
% 79.67/51.51 (~v259(constB152)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26781, 12182, 26778])).
% 79.67/51.51 tff(26783,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB152) | (~v262(constB152)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB152) | (~v262(constB152)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26784,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB152) | (~v262(constB152)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26785,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB152) | (~v262(constB152))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 79.67/51.51 tff(26786,plain,
% 79.67/51.51 (~v262(constB152)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26785, 12193, 20710])).
% 79.67/51.51 tff(26787,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB152) | (~v261(constB152)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB152) | (~v261(constB152)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26788,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB152) | (~v261(constB152)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26789,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB152) | (~v261(constB152))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26788, 26787])).
% 79.67/51.51 tff(26790,plain,
% 79.67/51.51 (~v261(constB152)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26789, 12204, 26786])).
% 79.67/51.51 tff(26791,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB152) | (~v260(constB152)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB152) | (~v260(constB152)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26792,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB152) | (~v260(constB152)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26793,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB152) | (~v260(constB152))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26792, 26791])).
% 79.67/51.51 tff(26794,plain,
% 79.67/51.51 (~v260(constB152)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26793, 12215, 26790])).
% 79.67/51.51 tff(26795,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB152) | v260(constB152) | (~v256(constB152)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB152) | v260(constB152) | (~v256(constB152)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26796,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB152) | v260(constB152) | (~v256(constB152)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26797,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB152) | v260(constB152) | (~v256(constB152))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 79.67/51.51 tff(26798,plain,
% 79.67/51.51 (v259(constB152) | (~v256(constB152))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26797, 12155, 26794])).
% 79.67/51.51 tff(26799,plain,
% 79.67/51.51 (~v256(constB152)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26798, 26782])).
% 79.67/51.51 tff(26800,plain,
% 79.67/51.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB152, constB153)) | v256(constB152) | (~v258(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB152, constB153)) | v256(constB152) | (~v258(constB153)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26801,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB152, constB153)) | v256(constB152) | (~v258(constB153)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26802,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB152, constB153)) | v256(constB152) | (~v258(constB153))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 79.67/51.51 tff(26803,plain,
% 79.67/51.51 (v256(constB152) | (~v258(constB153))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26802, 12170, 18689])).
% 79.67/51.51 tff(26804,plain,
% 79.67/51.51 (~v258(constB153)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26803, 26799])).
% 79.67/51.51 tff(26805,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB153) | (~v271(constB153)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB153) | (~v271(constB153)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26806,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB153) | (~v271(constB153)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26807,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB153) | (~v271(constB153))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26806, 26805])).
% 79.67/51.51 tff(26808,plain,
% 79.67/51.51 (~v271(constB153)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26807, 12236, 26804])).
% 79.67/51.51 tff(26809,plain,
% 79.67/51.51 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB153)) | (~v270(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB153)) | (~v270(constB153)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26810,plain,
% 79.67/51.51 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB153)) | (~v270(constB153)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26811,plain,
% 79.67/51.51 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB153)) | (~v270(constB153))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26810, 26809])).
% 79.67/51.51 tff(26812,plain,
% 79.67/51.51 (~v270(constB153)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26811, 12247, 20321])).
% 79.67/51.51 tff(26813,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB153)) | v271(constB153) | v270(constB153))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB153)) | v271(constB153) | v270(constB153))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26814,plain,
% 79.67/51.51 ((v271(constB153) | v270(constB153) | (~v267(constB153))) <=> ((~v267(constB153)) | v271(constB153) | v270(constB153))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26815,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB153) | v270(constB153) | (~v267(constB153)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB153)) | v271(constB153) | v270(constB153)))),
% 79.67/51.51 inference(monotonicity,[status(thm)],[26814])).
% 79.67/51.51 tff(26816,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB153) | v270(constB153) | (~v267(constB153)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB153)) | v271(constB153) | v270(constB153))),
% 79.67/51.51 inference(transitivity,[status(thm)],[26815, 26813])).
% 79.67/51.51 tff(26817,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB153) | v270(constB153) | (~v267(constB153)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26818,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB153)) | v271(constB153) | v270(constB153)),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 79.67/51.51 tff(26819,plain,
% 79.67/51.51 ((~v267(constB153)) | v271(constB153)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26818, 12261, 26812])).
% 79.67/51.51 tff(26820,plain,
% 79.67/51.51 (~v267(constB153)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26819, 26808])).
% 79.67/51.51 tff(26821,plain,
% 79.67/51.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB153, constB154)) | v267(constB153) | (~v269(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB153, constB154)) | v267(constB153) | (~v269(constB154)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26822,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB153, constB154)) | v267(constB153) | (~v269(constB154)))),
% 79.67/51.51 inference(quant_inst,[status(thm)],[])).
% 79.67/51.51 tff(26823,plain,
% 79.67/51.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB153, constB154)) | v267(constB153) | (~v269(constB154))),
% 79.67/51.51 inference(modus_ponens,[status(thm)],[26822, 26821])).
% 79.67/51.51 tff(26824,plain,
% 79.67/51.51 (v267(constB153) | (~v269(constB154))),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26823, 12279, 18789])).
% 79.67/51.51 tff(26825,plain,
% 79.67/51.51 (~v269(constB154)),
% 79.67/51.51 inference(unit_resolution,[status(thm)],[26824, 26820])).
% 79.67/51.51 tff(26826,plain,
% 79.67/51.51 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB154) | (~v270(constB154)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB154) | (~v270(constB154)))),
% 79.67/51.51 inference(rewrite,[status(thm)],[])).
% 79.67/51.51 tff(26827,plain,
% 79.67/51.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB154) | (~v270(constB154)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26828,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB154) | (~v270(constB154))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 79.67/51.52 tff(26829,plain,
% 79.67/51.52 (~v270(constB154)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26828, 12291, 26825])).
% 79.67/51.52 tff(26830,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB154) | (~v262(constB154)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB154) | (~v262(constB154)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26831,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB154) | (~v262(constB154)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26832,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB154) | (~v262(constB154))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 79.67/51.52 tff(26833,plain,
% 79.67/51.52 (~v262(constB154)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26832, 12193, 20343])).
% 79.67/51.52 tff(26834,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB154) | (~v261(constB154)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB154) | (~v261(constB154)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26835,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB154) | (~v261(constB154)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26836,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB154) | (~v261(constB154))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26835, 26834])).
% 79.67/51.52 tff(26837,plain,
% 79.67/51.52 (~v261(constB154)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26836, 12204, 26833])).
% 79.67/51.52 tff(26838,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB154) | (~v271(constB154)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB154) | (~v271(constB154)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26839,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB154) | (~v271(constB154)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26840,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB154) | (~v271(constB154))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 79.67/51.52 tff(26841,plain,
% 79.67/51.52 (~v271(constB154)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26840, 12310, 26837])).
% 79.67/51.52 tff(26842,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB154)) | v271(constB154) | v270(constB154))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB154)) | v271(constB154) | v270(constB154))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26843,plain,
% 79.67/51.52 ((v271(constB154) | v270(constB154) | (~v267(constB154))) <=> ((~v267(constB154)) | v271(constB154) | v270(constB154))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26844,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB154) | v270(constB154) | (~v267(constB154)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB154)) | v271(constB154) | v270(constB154)))),
% 79.67/51.52 inference(monotonicity,[status(thm)],[26843])).
% 79.67/51.52 tff(26845,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB154) | v270(constB154) | (~v267(constB154)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB154)) | v271(constB154) | v270(constB154))),
% 79.67/51.52 inference(transitivity,[status(thm)],[26844, 26842])).
% 79.67/51.52 tff(26846,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB154) | v270(constB154) | (~v267(constB154)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26847,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB154)) | v271(constB154) | v270(constB154)),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26846, 26845])).
% 79.67/51.52 tff(26848,plain,
% 79.67/51.52 ((~v267(constB154)) | v270(constB154)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26847, 12261, 26841])).
% 79.67/51.52 tff(26849,plain,
% 79.67/51.52 (~v267(constB154)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26848, 26829])).
% 79.67/51.52 tff(26850,plain,
% 79.67/51.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB154, constB155)) | v267(constB154) | (~v269(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB154, constB155)) | v267(constB154) | (~v269(constB155)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26851,plain,
% 79.67/51.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB154, constB155)) | v267(constB154) | (~v269(constB155)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26852,plain,
% 79.67/51.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB154, constB155)) | v267(constB154) | (~v269(constB155))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 79.67/51.52 tff(26853,plain,
% 79.67/51.52 (v267(constB154) | (~v269(constB155))),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26852, 12279, 18851])).
% 79.67/51.52 tff(26854,plain,
% 79.67/51.52 (~v269(constB155)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26853, 26849])).
% 79.67/51.52 tff(26855,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB155) | (~v307(constB155)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB155) | (~v307(constB155)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26856,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB155) | (~v307(constB155)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26857,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB155) | (~v307(constB155))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26856, 26855])).
% 79.67/51.52 tff(26858,plain,
% 79.67/51.52 (~v307(constB155)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26857, 20510, 26854])).
% 79.67/51.52 tff(26859,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB155) | (~v290(constB155)) | v289(constB155))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB155) | (~v290(constB155)) | v289(constB155))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26860,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB155) | (~v290(constB155)) | v289(constB155))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26861,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB155) | (~v290(constB155)) | v289(constB155)),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26860, 26859])).
% 79.67/51.52 tff(26862,plain,
% 79.67/51.52 ((~v290(constB155)) | v289(constB155)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26861, 11821, 26858])).
% 79.67/51.52 tff(26863,plain,
% 79.67/51.52 (v289(constB155)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26862, 26363])).
% 79.67/51.52 tff(26864,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB147) | (~v245(constB147)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB147) | (~v245(constB147)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26865,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB147) | (~v245(constB147)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26866,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB147) | (~v245(constB147))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 79.67/51.52 tff(26867,plain,
% 79.67/51.52 (~v245(constB147)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26866, 11683, 26672])).
% 79.67/51.52 tff(26868,plain,
% 79.67/51.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB141, bitIndex2)) | v88(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB141, bitIndex2)) | v88(constB141, bitIndex2))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26869,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB141, bitIndex2)) | v88(constB141, bitIndex2))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26870,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB141, bitIndex2)) | v88(constB141, bitIndex2)),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 79.67/51.52 tff(26871,plain,
% 79.67/51.52 (v88(constB141, bitIndex2)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26870, 10735, 17423])).
% 79.67/51.52 tff(26872,plain,
% 79.67/51.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v139(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v139(constB141)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26873,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v139(constB141)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26874,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v139(constB141))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26873, 26872])).
% 79.67/51.52 tff(26875,plain,
% 79.67/51.52 (~v139(constB141)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26874, 10882, 26871])).
% 79.67/51.52 tff(26876,plain,
% 79.67/51.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v140(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v140(constB141)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26877,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v140(constB141)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26878,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v140(constB141))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26877, 26876])).
% 79.67/51.52 tff(26879,plain,
% 79.67/51.52 (~v140(constB141)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26878, 10893, 26871])).
% 79.67/51.52 tff(26880,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB141)) | v139(constB141) | v140(constB141))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB141)) | v139(constB141) | v140(constB141))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26881,plain,
% 79.67/51.52 ((v140(constB141) | v139(constB141) | (~v168(constB141))) <=> ((~v168(constB141)) | v139(constB141) | v140(constB141))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26882,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB141)) | v139(constB141) | v140(constB141)))),
% 79.67/51.52 inference(monotonicity,[status(thm)],[26881])).
% 79.67/51.52 tff(26883,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB141)) | v139(constB141) | v140(constB141))),
% 79.67/51.52 inference(transitivity,[status(thm)],[26882, 26880])).
% 79.67/51.52 tff(26884,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26885,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB141)) | v139(constB141) | v140(constB141)),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26884, 26883])).
% 79.67/51.52 tff(26886,plain,
% 79.67/51.52 (~v168(constB141)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26885, 10907, 26879, 26875])).
% 79.67/51.52 tff(26887,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB141, bitIndex1) | (~v88(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB141, bitIndex1) | (~v88(constB141, bitIndex1)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26888,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB141, bitIndex1) | (~v88(constB141, bitIndex1)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26889,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB141, bitIndex1) | (~v88(constB141, bitIndex1))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26888, 26887])).
% 79.67/51.52 tff(26890,plain,
% 79.67/51.52 (~v88(constB141, bitIndex1)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26889, 10918, 17465])).
% 79.67/51.52 tff(26891,plain,
% 79.67/51.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB141, bitIndex0) | (~v88(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB141, bitIndex0) | (~v88(constB141, bitIndex0)))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26892,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB141, bitIndex0) | (~v88(constB141, bitIndex0)))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26893,plain,
% 79.67/51.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB141, bitIndex0) | (~v88(constB141, bitIndex0))),
% 79.67/51.52 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 79.67/51.52 tff(26894,plain,
% 79.67/51.52 (~v88(constB141, bitIndex0)),
% 79.67/51.52 inference(unit_resolution,[status(thm)],[26893, 10755, 17499])).
% 79.67/51.52 tff(26895,plain,
% 79.67/51.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v146(constB141))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v146(constB141))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26896,plain,
% 79.67/51.52 (((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141)) <=> (v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v146(constB141))),
% 79.67/51.52 inference(rewrite,[status(thm)],[])).
% 79.67/51.52 tff(26897,plain,
% 79.67/51.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v146(constB141)))),
% 79.67/51.52 inference(monotonicity,[status(thm)],[26896])).
% 79.67/51.52 tff(26898,plain,
% 79.67/51.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v146(constB141))),
% 79.67/51.52 inference(transitivity,[status(thm)],[26897, 26895])).
% 79.67/51.52 tff(26899,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141))),
% 79.67/51.52 inference(quant_inst,[status(thm)],[])).
% 79.67/51.52 tff(26900,plain,
% 79.67/51.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v146(constB141)),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26899, 26898])).
% 79.67/51.53 tff(26901,plain,
% 79.67/51.53 (v146(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26900, 10936, 26871, 26894, 26890])).
% 79.67/51.53 tff(26902,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB141) | (~v146(constB141)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB141) | (~v146(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26903,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB141) | (~v146(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26904,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB141) | (~v146(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26903, 26902])).
% 79.67/51.53 tff(26905,plain,
% 79.67/51.53 (v145(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26904, 10950, 26901])).
% 79.67/51.53 tff(26906,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB141) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB141) | (~v145(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26907,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB141) | (~v145(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26908,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB141) | (~v145(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26907, 26906])).
% 79.67/51.53 tff(26909,plain,
% 79.67/51.53 (v226(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26908, 10961, 26905])).
% 79.67/51.53 tff(26910,plain,
% 79.67/51.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB141)) | (~v226(constB141)) | v168(constB141))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB141)) | (~v226(constB141)) | v168(constB141))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26911,plain,
% 79.67/51.53 ((v168(constB141) | (~v226(constB141)) | (~v161(constB141))) <=> ((~v161(constB141)) | (~v226(constB141)) | v168(constB141))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26912,plain,
% 79.67/51.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB141) | (~v226(constB141)) | (~v161(constB141)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB141)) | (~v226(constB141)) | v168(constB141)))),
% 79.67/51.53 inference(monotonicity,[status(thm)],[26911])).
% 79.67/51.53 tff(26913,plain,
% 79.67/51.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB141) | (~v226(constB141)) | (~v161(constB141)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB141)) | (~v226(constB141)) | v168(constB141))),
% 79.67/51.53 inference(transitivity,[status(thm)],[26912, 26910])).
% 79.67/51.53 tff(26914,plain,
% 79.67/51.53 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB141) | (~v226(constB141)) | (~v161(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26915,plain,
% 79.67/51.53 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB141)) | (~v226(constB141)) | v168(constB141)),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 79.67/51.53 tff(26916,plain,
% 79.67/51.53 (~v161(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26915, 10975, 26909, 26886])).
% 79.67/51.53 tff(26917,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB141) | (~v187(constB141)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB141) | (~v187(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26918,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB141) | (~v187(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26919,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB141) | (~v187(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26918, 26917])).
% 79.67/51.53 tff(26920,plain,
% 79.67/51.53 (~v187(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26919, 10989, 26916])).
% 79.67/51.53 tff(26921,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB141) | (~v185(constB141)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB141) | (~v185(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26922,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB141) | (~v185(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26923,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB141) | (~v185(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26922, 26921])).
% 79.67/51.53 tff(26924,plain,
% 79.67/51.53 (~v185(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26923, 11000, 26920])).
% 79.67/51.53 tff(26925,assumption,(v18(constB142)), introduced(assumption)).
% 79.67/51.53 tff(26926,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB142))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26927,plain,
% 79.67/51.53 ($false),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26926, 70, 26925])).
% 79.67/51.53 tff(26928,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 79.67/51.53 tff(26929,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26930,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26931,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26930, 26929])).
% 79.67/51.53 tff(26932,plain,
% 79.67/51.53 (v22(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26931, 83, 17554])).
% 79.67/51.53 tff(26933,plain,
% 79.67/51.53 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26934,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26935,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142)),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 79.67/51.53 tff(26936,plain,
% 79.67/51.53 ((~v19(constB142)) | v18(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26935, 97, 26932])).
% 79.67/51.53 tff(26937,plain,
% 79.67/51.53 (~v19(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26936, 26928])).
% 79.67/51.53 tff(26938,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26939,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26940,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26939, 26938])).
% 79.67/51.53 tff(26941,plain,
% 79.67/51.53 (v13(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26940, 112, 26937])).
% 79.67/51.53 tff(26942,plain,
% 79.67/51.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26943,plain,
% 79.67/51.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26944,plain,
% 79.67/51.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141)),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26943, 26942])).
% 79.67/51.53 tff(26945,plain,
% 79.67/51.53 ((~v13(constB142)) | v9(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26944, 129, 17534])).
% 79.67/51.53 tff(26946,plain,
% 79.67/51.53 (v9(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26945, 26941])).
% 79.67/51.53 tff(26947,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v184(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB141) | (~v9(constB141)) | v184(constB141))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26948,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v184(constB141))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26949,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB141) | (~v9(constB141)) | v184(constB141)),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26948, 26947])).
% 79.67/51.53 tff(26950,plain,
% 79.67/51.53 ((~v9(constB141)) | v184(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26949, 11036, 17399])).
% 79.67/51.53 tff(26951,plain,
% 79.67/51.53 (v184(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26950, 26946])).
% 79.67/51.53 tff(26952,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB141) | (~v184(constB141)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB141) | (~v184(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26953,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB141) | (~v184(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26954,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB141) | (~v184(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26953, 26952])).
% 79.67/51.53 tff(26955,plain,
% 79.67/51.53 (v183(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26954, 11048, 26951])).
% 79.67/51.53 tff(26956,plain,
% 79.67/51.53 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB141)) | (~v181(constB141)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB141)) | (~v181(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26957,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB141)) | (~v181(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26958,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB141)) | (~v181(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26957, 26956])).
% 79.67/51.53 tff(26959,plain,
% 79.67/51.53 (~v181(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26958, 11059, 26955])).
% 79.67/51.53 tff(26960,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB141) | v185(constB141) | (~v178(constB141)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB141) | v185(constB141) | (~v178(constB141)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26961,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB141) | v185(constB141) | (~v178(constB141)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26962,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB141) | v185(constB141) | (~v178(constB141))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 79.67/51.53 tff(26963,plain,
% 79.67/51.53 (v185(constB141) | (~v178(constB141))),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26962, 11073, 26959])).
% 79.67/51.53 tff(26964,plain,
% 79.67/51.53 (~v178(constB141)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26963, 26924])).
% 79.67/51.53 tff(26965,plain,
% 79.67/51.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB141, constB142)) | v178(constB141) | (~v180(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB141, constB142)) | v178(constB141) | (~v180(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26966,plain,
% 79.67/51.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB141, constB142)) | v178(constB141) | (~v180(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26967,plain,
% 79.67/51.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB141, constB142)) | v178(constB141) | (~v180(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 79.67/51.53 tff(26968,plain,
% 79.67/51.53 (v178(constB141) | (~v180(constB142))),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26967, 11088, 17534])).
% 79.67/51.53 tff(26969,plain,
% 79.67/51.53 (~v180(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26968, 26964])).
% 79.67/51.53 tff(26970,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB142) | (~v181(constB142)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB142) | (~v181(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26971,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB142) | (~v181(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26972,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB142) | (~v181(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26971, 26970])).
% 79.67/51.53 tff(26973,plain,
% 79.67/51.53 (~v181(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26972, 11100, 26969])).
% 79.67/51.53 tff(26974,plain,
% 79.67/51.53 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB142)) | (~v184(constB142)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB142)) | (~v184(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26975,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB142)) | (~v184(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26976,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB142)) | (~v184(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26975, 26974])).
% 79.67/51.53 tff(26977,plain,
% 79.67/51.53 (~v184(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26976, 11111, 17554])).
% 79.67/51.53 tff(26978,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB142) | (~v187(constB142)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB142) | (~v187(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26979,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB142) | (~v187(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26980,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB142) | (~v187(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26979, 26978])).
% 79.67/51.53 tff(26981,plain,
% 79.67/51.53 (~v187(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26980, 11122, 26977])).
% 79.67/51.53 tff(26982,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB142) | (~v185(constB142)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB142) | (~v185(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26983,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB142) | (~v185(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26984,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB142) | (~v185(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26983, 26982])).
% 79.67/51.53 tff(26985,plain,
% 79.67/51.53 (~v185(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26984, 11000, 26981])).
% 79.67/51.53 tff(26986,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB142) | v185(constB142) | (~v178(constB142)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB142) | v185(constB142) | (~v178(constB142)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26987,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB142) | v185(constB142) | (~v178(constB142)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26988,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB142) | v185(constB142) | (~v178(constB142))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 79.67/51.53 tff(26989,plain,
% 79.67/51.53 (v181(constB142) | (~v178(constB142))),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26988, 11073, 26985])).
% 79.67/51.53 tff(26990,plain,
% 79.67/51.53 (~v178(constB142)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26989, 26973])).
% 79.67/51.53 tff(26991,plain,
% 79.67/51.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v178(constB142) | (~v180(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB142, constB143)) | v178(constB142) | (~v180(constB143)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26992,plain,
% 79.67/51.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v178(constB142) | (~v180(constB143)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26993,plain,
% 79.67/51.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB142, constB143)) | v178(constB142) | (~v180(constB143))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26992, 26991])).
% 79.67/51.53 tff(26994,plain,
% 79.67/51.53 (v178(constB142) | (~v180(constB143))),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26993, 11088, 17596])).
% 79.67/51.53 tff(26995,plain,
% 79.67/51.53 (~v180(constB143)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26994, 26990])).
% 79.67/51.53 tff(26996,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB143) | (~v215(constB143)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB143) | (~v215(constB143)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(26997,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB143) | (~v215(constB143)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(26998,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB143) | (~v215(constB143))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[26997, 26996])).
% 79.67/51.53 tff(26999,plain,
% 79.67/51.53 (~v215(constB143)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[26998, 11147, 26995])).
% 79.67/51.53 tff(27000,plain,
% 79.67/51.53 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB143)) | (~v214(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB143)) | (~v214(constB143)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(27001,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB143)) | (~v214(constB143)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(27002,plain,
% 79.67/51.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB143)) | (~v214(constB143))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[27001, 27000])).
% 79.67/51.53 tff(27003,plain,
% 79.67/51.53 (~v214(constB143)),
% 79.67/51.53 inference(unit_resolution,[status(thm)],[27002, 11189, 26585])).
% 79.67/51.53 tff(27004,plain,
% 79.67/51.53 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB143) | v215(constB143) | (~v211(constB143)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB143) | v215(constB143) | (~v211(constB143)))),
% 79.67/51.53 inference(rewrite,[status(thm)],[])).
% 79.67/51.53 tff(27005,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB143) | v215(constB143) | (~v211(constB143)))),
% 79.67/51.53 inference(quant_inst,[status(thm)],[])).
% 79.67/51.53 tff(27006,plain,
% 79.67/51.53 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB143) | v215(constB143) | (~v211(constB143))),
% 79.67/51.53 inference(modus_ponens,[status(thm)],[27005, 27004])).
% 79.67/51.53 tff(27007,plain,
% 79.67/51.54 (v215(constB143) | (~v211(constB143))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27006, 11203, 27003])).
% 79.67/51.54 tff(27008,plain,
% 79.67/51.54 (~v211(constB143)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27007, 26999])).
% 79.67/51.54 tff(27009,plain,
% 79.67/51.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB143, constB144)) | v211(constB143) | (~v213(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB143, constB144)) | v211(constB143) | (~v213(constB144)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27010,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB143, constB144)) | v211(constB143) | (~v213(constB144)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27011,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB143, constB144)) | v211(constB143) | (~v213(constB144))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 79.67/51.54 tff(27012,plain,
% 79.67/51.54 (v211(constB143) | (~v213(constB144))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27011, 11218, 17718])).
% 79.67/51.54 tff(27013,plain,
% 79.67/51.54 (~v213(constB144)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27012, 27008])).
% 79.67/51.54 tff(27014,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB144) | (~v214(constB144)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB144) | (~v214(constB144)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27015,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB144) | (~v214(constB144)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27016,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB144) | (~v214(constB144))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27015, 27014])).
% 79.67/51.54 tff(27017,plain,
% 79.67/51.54 (~v214(constB144)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27016, 11230, 27013])).
% 79.67/51.54 tff(27018,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB144) | (~v217(constB144)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB144) | (~v217(constB144)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27019,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB144) | (~v217(constB144)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27020,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB144) | (~v217(constB144))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27019, 27018])).
% 79.67/51.54 tff(27021,plain,
% 79.67/51.54 (~v217(constB144)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27020, 11245, 26610])).
% 79.67/51.54 tff(27022,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB144) | (~v216(constB144)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB144) | (~v216(constB144)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27023,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB144) | (~v216(constB144)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27024,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB144) | (~v216(constB144))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27023, 27022])).
% 79.67/51.54 tff(27025,plain,
% 79.67/51.54 (~v216(constB144)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27024, 11256, 27021])).
% 79.67/51.54 tff(27026,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB144) | (~v215(constB144)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB144) | (~v215(constB144)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27027,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB144) | (~v215(constB144)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27028,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB144) | (~v215(constB144))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 79.67/51.54 tff(27029,plain,
% 79.67/51.54 (~v215(constB144)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27028, 11267, 27025])).
% 79.67/51.54 tff(27030,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB144) | v215(constB144) | (~v211(constB144)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB144) | v215(constB144) | (~v211(constB144)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27031,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB144) | v215(constB144) | (~v211(constB144)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27032,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB144) | v215(constB144) | (~v211(constB144))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27031, 27030])).
% 79.67/51.54 tff(27033,plain,
% 79.67/51.54 (v214(constB144) | (~v211(constB144))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27032, 11203, 27029])).
% 79.67/51.54 tff(27034,plain,
% 79.67/51.54 (~v211(constB144)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27033, 27017])).
% 79.67/51.54 tff(27035,plain,
% 79.67/51.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB144, constB145)) | v211(constB144) | (~v213(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB144, constB145)) | v211(constB144) | (~v213(constB145)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27036,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB144, constB145)) | v211(constB144) | (~v213(constB145)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27037,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB144, constB145)) | v211(constB144) | (~v213(constB145))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27036, 27035])).
% 79.67/51.54 tff(27038,plain,
% 79.67/51.54 (v211(constB144) | (~v213(constB145))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27037, 11218, 17780])).
% 79.67/51.54 tff(27039,plain,
% 79.67/51.54 (~v213(constB145)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27038, 27034])).
% 79.67/51.54 tff(27040,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB145) | (~v245(constB145)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB145) | (~v245(constB145)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27041,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB145) | (~v245(constB145)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27042,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB145) | (~v245(constB145))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 79.67/51.54 tff(27043,plain,
% 79.67/51.54 (~v245(constB145)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27042, 11683, 27039])).
% 79.67/51.54 tff(27044,plain,
% 79.67/51.54 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB145)) | (~v244(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB145)) | (~v244(constB145)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27045,plain,
% 79.67/51.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB145)) | (~v244(constB145)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27046,plain,
% 79.67/51.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB145)) | (~v244(constB145))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27045, 27044])).
% 79.67/51.54 tff(27047,plain,
% 79.67/51.54 (~v244(constB145)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27046, 11694, 26453])).
% 79.67/51.54 tff(27048,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB145) | v245(constB145) | (~v241(constB145)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB145) | v245(constB145) | (~v241(constB145)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27049,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB145) | v245(constB145) | (~v241(constB145)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27050,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB145) | v245(constB145) | (~v241(constB145))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27049, 27048])).
% 79.67/51.54 tff(27051,plain,
% 79.67/51.54 (v245(constB145) | (~v241(constB145))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27050, 11708, 27047])).
% 79.67/51.54 tff(27052,plain,
% 79.67/51.54 (~v241(constB145)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27051, 27043])).
% 79.67/51.54 tff(27053,plain,
% 79.67/51.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB145, constB146)) | v241(constB145) | (~v243(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB145, constB146)) | v241(constB145) | (~v243(constB146)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27054,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB145, constB146)) | v241(constB145) | (~v243(constB146)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27055,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB145, constB146)) | v241(constB145) | (~v243(constB146))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27054, 27053])).
% 79.67/51.54 tff(27056,plain,
% 79.67/51.54 (v241(constB145) | (~v243(constB146))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27055, 11723, 17893])).
% 79.67/51.54 tff(27057,plain,
% 79.67/51.54 (~v243(constB146)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27056, 27052])).
% 79.67/51.54 tff(27058,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB146) | (~v244(constB146)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB146) | (~v244(constB146)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27059,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB146) | (~v244(constB146)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27060,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB146) | (~v244(constB146))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27059, 27058])).
% 79.67/51.54 tff(27061,plain,
% 79.67/51.54 (~v244(constB146)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27060, 11735, 27057])).
% 79.67/51.54 tff(27062,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB146) | (~v247(constB146)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB146) | (~v247(constB146)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27063,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB146) | (~v247(constB146)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27064,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB146) | (~v247(constB146))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27063, 27062])).
% 79.67/51.54 tff(27065,plain,
% 79.67/51.54 (~v247(constB146)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27064, 11746, 26478])).
% 79.67/51.54 tff(27066,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB146) | (~v246(constB146)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB146) | (~v246(constB146)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27067,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB146) | (~v246(constB146)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27068,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB146) | (~v246(constB146))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27067, 27066])).
% 79.67/51.54 tff(27069,plain,
% 79.67/51.54 (~v246(constB146)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27068, 11757, 27065])).
% 79.67/51.54 tff(27070,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB146) | (~v245(constB146)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB146) | (~v245(constB146)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27071,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB146) | (~v245(constB146)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27072,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB146) | (~v245(constB146))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27071, 27070])).
% 79.67/51.54 tff(27073,plain,
% 79.67/51.54 (~v245(constB146)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27072, 11768, 27069])).
% 79.67/51.54 tff(27074,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB146) | v245(constB146) | (~v241(constB146)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB146) | v245(constB146) | (~v241(constB146)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27075,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB146) | v245(constB146) | (~v241(constB146)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27076,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB146) | v245(constB146) | (~v241(constB146))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27075, 27074])).
% 79.67/51.54 tff(27077,plain,
% 79.67/51.54 (v244(constB146) | (~v241(constB146))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27076, 11708, 27073])).
% 79.67/51.54 tff(27078,plain,
% 79.67/51.54 (~v241(constB146)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27077, 27061])).
% 79.67/51.54 tff(27079,plain,
% 79.67/51.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB146, constB147)) | v241(constB146) | (~v243(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB146, constB147)) | v241(constB146) | (~v243(constB147)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27080,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB146, constB147)) | v241(constB146) | (~v243(constB147)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27081,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB146, constB147)) | v241(constB146) | (~v243(constB147))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27080, 27079])).
% 79.67/51.54 tff(27082,plain,
% 79.67/51.54 (v241(constB146) | (~v243(constB147))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27081, 11723, 17985])).
% 79.67/51.54 tff(27083,plain,
% 79.67/51.54 (~v243(constB147)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27082, 27078])).
% 79.67/51.54 tff(27084,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB147) | (~v244(constB147)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB147) | (~v244(constB147)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27085,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB147) | (~v244(constB147)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27086,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB147) | (~v244(constB147))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27085, 27084])).
% 79.67/51.54 tff(27087,plain,
% 79.67/51.54 (~v244(constB147)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27086, 11735, 27083])).
% 79.67/51.54 tff(27088,plain,
% 79.67/51.54 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB147) | v245(constB147) | (~v241(constB147)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB147) | v245(constB147) | (~v241(constB147)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27089,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB147) | v245(constB147) | (~v241(constB147)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27090,plain,
% 79.67/51.54 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB147) | v245(constB147) | (~v241(constB147))),
% 79.67/51.54 inference(modus_ponens,[status(thm)],[27089, 27088])).
% 79.67/51.54 tff(27091,plain,
% 79.67/51.54 (v245(constB147) | (~v241(constB147))),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27090, 11708, 27087])).
% 79.67/51.54 tff(27092,plain,
% 79.67/51.54 (~v241(constB147)),
% 79.67/51.54 inference(unit_resolution,[status(thm)],[27091, 26867])).
% 79.67/51.54 tff(27093,plain,
% 79.67/51.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148)))),
% 79.67/51.54 inference(rewrite,[status(thm)],[])).
% 79.67/51.54 tff(27094,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148)))),
% 79.67/51.54 inference(quant_inst,[status(thm)],[])).
% 79.67/51.54 tff(27095,plain,
% 79.67/51.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27094, 27093])).
% 79.67/51.55 tff(27096,plain,
% 79.67/51.55 (v241(constB147) | (~v243(constB148))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27095, 11723, 18124])).
% 79.67/51.55 tff(27097,plain,
% 79.67/51.55 (~v243(constB148)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27096, 27092])).
% 79.67/51.55 tff(27098,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB148) | (~v244(constB148)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB148) | (~v244(constB148)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27099,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB148) | (~v244(constB148)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27100,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB148) | (~v244(constB148))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 79.67/51.55 tff(27101,plain,
% 79.67/51.55 (~v244(constB148)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27100, 11735, 27097])).
% 79.67/51.55 tff(27102,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB148) | (~v247(constB148)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB148) | (~v247(constB148)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27103,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB148) | (~v247(constB148)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27104,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB148) | (~v247(constB148))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 79.67/51.55 tff(27105,plain,
% 79.67/51.55 (~v247(constB148)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27104, 11746, 26694])).
% 79.67/51.55 tff(27106,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB148) | (~v246(constB148)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB148) | (~v246(constB148)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27107,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB148) | (~v246(constB148)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27108,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB148) | (~v246(constB148))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 79.67/51.55 tff(27109,plain,
% 79.67/51.55 (~v246(constB148)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27108, 11757, 27105])).
% 79.67/51.55 tff(27110,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB148) | (~v245(constB148)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB148) | (~v245(constB148)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27111,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB148) | (~v245(constB148)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27112,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB148) | (~v245(constB148))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27111, 27110])).
% 79.67/51.55 tff(27113,plain,
% 79.67/51.55 (~v245(constB148)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27112, 11768, 27109])).
% 79.67/51.55 tff(27114,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB148) | v245(constB148) | (~v241(constB148)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB148) | v245(constB148) | (~v241(constB148)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27115,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB148) | v245(constB148) | (~v241(constB148)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27116,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB148) | v245(constB148) | (~v241(constB148))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27115, 27114])).
% 79.67/51.55 tff(27117,plain,
% 79.67/51.55 (v244(constB148) | (~v241(constB148))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27116, 11708, 27113])).
% 79.67/51.55 tff(27118,plain,
% 79.67/51.55 (~v241(constB148)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27117, 27101])).
% 79.67/51.55 tff(27119,plain,
% 79.67/51.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27120,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27121,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 79.67/51.55 tff(27122,plain,
% 79.67/51.55 (v241(constB148) | (~v243(constB149))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27121, 11723, 18186])).
% 79.67/51.55 tff(27123,plain,
% 79.67/51.55 (~v243(constB149)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27122, 27118])).
% 79.67/51.55 tff(27124,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB149) | (~v260(constB149)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB149) | (~v260(constB149)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27125,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB149) | (~v260(constB149)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27126,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB149) | (~v260(constB149))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 79.67/51.55 tff(27127,plain,
% 79.67/51.55 (~v260(constB149)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27126, 12130, 27123])).
% 79.67/51.55 tff(27128,plain,
% 79.67/51.55 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB149)) | (~v259(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB149)) | (~v259(constB149)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27129,plain,
% 79.67/51.55 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB149)) | (~v259(constB149)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27130,plain,
% 79.67/51.55 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB149)) | (~v259(constB149))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27129, 27128])).
% 79.67/51.55 tff(27131,plain,
% 79.67/51.55 (~v259(constB149)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27130, 12141, 20610])).
% 79.67/51.55 tff(27132,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB149) | v260(constB149) | (~v256(constB149)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB149) | v260(constB149) | (~v256(constB149)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27133,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB149) | v260(constB149) | (~v256(constB149)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27134,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB149) | v260(constB149) | (~v256(constB149))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27133, 27132])).
% 79.67/51.55 tff(27135,plain,
% 79.67/51.55 (v260(constB149) | (~v256(constB149))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27134, 12155, 27131])).
% 79.67/51.55 tff(27136,plain,
% 79.67/51.55 (~v256(constB149)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27135, 27127])).
% 79.67/51.55 tff(27137,plain,
% 79.67/51.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB149, constB150)) | v256(constB149) | (~v258(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB149, constB150)) | v256(constB149) | (~v258(constB150)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27138,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB149, constB150)) | v256(constB149) | (~v258(constB150)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27139,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB149, constB150)) | v256(constB149) | (~v258(constB150))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 79.67/51.55 tff(27140,plain,
% 79.67/51.55 (v256(constB149) | (~v258(constB150))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27139, 12170, 18387])).
% 79.67/51.55 tff(27141,plain,
% 79.67/51.55 (~v258(constB150)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27140, 27136])).
% 79.67/51.55 tff(27142,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB150) | (~v259(constB150)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB150) | (~v259(constB150)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27143,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB150) | (~v259(constB150)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27144,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB150) | (~v259(constB150))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 79.67/51.55 tff(27145,plain,
% 79.67/51.55 (~v259(constB150)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27144, 12182, 27141])).
% 79.67/51.55 tff(27146,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB150) | (~v262(constB150)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB150) | (~v262(constB150)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27147,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB150) | (~v262(constB150)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27148,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB150) | (~v262(constB150))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27147, 27146])).
% 79.67/51.55 tff(27149,plain,
% 79.67/51.55 (~v262(constB150)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27148, 12193, 20635])).
% 79.67/51.55 tff(27150,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB150) | (~v261(constB150)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB150) | (~v261(constB150)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27151,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB150) | (~v261(constB150)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27152,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB150) | (~v261(constB150))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27151, 27150])).
% 79.67/51.55 tff(27153,plain,
% 79.67/51.55 (~v261(constB150)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27152, 12204, 27149])).
% 79.67/51.55 tff(27154,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB150) | (~v260(constB150)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB150) | (~v260(constB150)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27155,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB150) | (~v260(constB150)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27156,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB150) | (~v260(constB150))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 79.67/51.55 tff(27157,plain,
% 79.67/51.55 (~v260(constB150)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27156, 12215, 27153])).
% 79.67/51.55 tff(27158,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB150) | v260(constB150) | (~v256(constB150)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB150) | v260(constB150) | (~v256(constB150)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27159,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB150) | v260(constB150) | (~v256(constB150)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27160,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB150) | v260(constB150) | (~v256(constB150))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27159, 27158])).
% 79.67/51.55 tff(27161,plain,
% 79.67/51.55 (v259(constB150) | (~v256(constB150))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27160, 12155, 27157])).
% 79.67/51.55 tff(27162,plain,
% 79.67/51.55 (~v256(constB150)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27161, 27145])).
% 79.67/51.55 tff(27163,plain,
% 79.67/51.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB150, constB151)) | v256(constB150) | (~v258(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB150, constB151)) | v256(constB150) | (~v258(constB151)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27164,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB150, constB151)) | v256(constB150) | (~v258(constB151)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27165,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB150, constB151)) | v256(constB150) | (~v258(constB151))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 79.67/51.55 tff(27166,plain,
% 79.67/51.55 (v256(constB150) | (~v258(constB151))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27165, 12170, 18452])).
% 79.67/51.55 tff(27167,plain,
% 79.67/51.55 (~v258(constB151)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27166, 27162])).
% 79.67/51.55 tff(27168,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB151) | (~v271(constB151)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB151) | (~v271(constB151)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27169,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB151) | (~v271(constB151)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27170,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB151) | (~v271(constB151))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27169, 27168])).
% 79.67/51.55 tff(27171,plain,
% 79.67/51.55 (~v271(constB151)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27170, 12236, 27167])).
% 79.67/51.55 tff(27172,plain,
% 79.67/51.55 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB151)) | (~v270(constB151)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB151)) | (~v270(constB151)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27173,plain,
% 79.67/51.55 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB151)) | (~v270(constB151)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27174,plain,
% 79.67/51.55 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB151)) | (~v270(constB151))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27173, 27172])).
% 79.67/51.55 tff(27175,plain,
% 79.67/51.55 (~v270(constB151)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27174, 12247, 20688])).
% 79.67/51.55 tff(27176,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB151)) | v270(constB151) | v271(constB151))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB151)) | v270(constB151) | v271(constB151))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27177,plain,
% 79.67/51.55 ((v271(constB151) | v270(constB151) | (~v267(constB151))) <=> ((~v267(constB151)) | v270(constB151) | v271(constB151))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27178,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB151) | v270(constB151) | (~v267(constB151)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB151)) | v270(constB151) | v271(constB151)))),
% 79.67/51.55 inference(monotonicity,[status(thm)],[27177])).
% 79.67/51.55 tff(27179,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB151) | v270(constB151) | (~v267(constB151)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB151)) | v270(constB151) | v271(constB151))),
% 79.67/51.55 inference(transitivity,[status(thm)],[27178, 27176])).
% 79.67/51.55 tff(27180,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB151) | v270(constB151) | (~v267(constB151)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27181,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB151)) | v270(constB151) | v271(constB151)),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27180, 27179])).
% 79.67/51.55 tff(27182,plain,
% 79.67/51.55 ((~v267(constB151)) | v271(constB151)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27181, 12261, 27175])).
% 79.67/51.55 tff(27183,plain,
% 79.67/51.55 (~v267(constB151)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27182, 27171])).
% 79.67/51.55 tff(27184,plain,
% 79.67/51.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB151, constB152)) | v267(constB151) | (~v269(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB151, constB152)) | v267(constB151) | (~v269(constB152)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27185,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB151, constB152)) | v267(constB151) | (~v269(constB152)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27186,plain,
% 79.67/51.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB151, constB152)) | v267(constB151) | (~v269(constB152))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27185, 27184])).
% 79.67/51.55 tff(27187,plain,
% 79.67/51.55 (v267(constB151) | (~v269(constB152))),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27186, 12279, 18562])).
% 79.67/51.55 tff(27188,plain,
% 79.67/51.55 (~v269(constB152)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27187, 27183])).
% 79.67/51.55 tff(27189,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB152) | (~v270(constB152)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB152) | (~v270(constB152)))),
% 79.67/51.55 inference(rewrite,[status(thm)],[])).
% 79.67/51.55 tff(27190,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB152) | (~v270(constB152)))),
% 79.67/51.55 inference(quant_inst,[status(thm)],[])).
% 79.67/51.55 tff(27191,plain,
% 79.67/51.55 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB152) | (~v270(constB152))),
% 79.67/51.55 inference(modus_ponens,[status(thm)],[27190, 27189])).
% 79.67/51.55 tff(27192,plain,
% 79.67/51.55 (~v270(constB152)),
% 79.67/51.55 inference(unit_resolution,[status(thm)],[27191, 12291, 27188])).
% 79.67/51.55 tff(27193,plain,
% 79.67/51.55 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB152) | (~v271(constB152)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB152) | (~v271(constB152)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27194,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB152) | (~v271(constB152)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27195,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB152) | (~v271(constB152))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27194, 27193])).
% 79.67/51.56 tff(27196,plain,
% 79.67/51.56 (~v271(constB152)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27195, 12310, 26790])).
% 79.67/51.56 tff(27197,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB152)) | v271(constB152) | v270(constB152))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB152)) | v271(constB152) | v270(constB152))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27198,plain,
% 79.67/51.56 ((v271(constB152) | v270(constB152) | (~v267(constB152))) <=> ((~v267(constB152)) | v271(constB152) | v270(constB152))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27199,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB152) | v270(constB152) | (~v267(constB152)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB152)) | v271(constB152) | v270(constB152)))),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27198])).
% 79.67/51.56 tff(27200,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB152) | v270(constB152) | (~v267(constB152)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB152)) | v271(constB152) | v270(constB152))),
% 79.67/51.56 inference(transitivity,[status(thm)],[27199, 27197])).
% 79.67/51.56 tff(27201,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB152) | v270(constB152) | (~v267(constB152)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27202,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB152)) | v271(constB152) | v270(constB152)),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27201, 27200])).
% 79.67/51.56 tff(27203,plain,
% 79.67/51.56 ((~v267(constB152)) | v270(constB152)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27202, 12261, 27196])).
% 79.67/51.56 tff(27204,plain,
% 79.67/51.56 (~v267(constB152)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27203, 27192])).
% 79.67/51.56 tff(27205,plain,
% 79.67/51.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB152, constB153)) | v267(constB152) | (~v269(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB152, constB153)) | v267(constB152) | (~v269(constB153)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27206,plain,
% 79.67/51.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB152, constB153)) | v267(constB152) | (~v269(constB153)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27207,plain,
% 79.67/51.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB152, constB153)) | v267(constB152) | (~v269(constB153))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27206, 27205])).
% 79.67/51.56 tff(27208,plain,
% 79.67/51.56 (v267(constB152) | (~v269(constB153))),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27207, 12279, 18689])).
% 79.67/51.56 tff(27209,plain,
% 79.67/51.56 (~v269(constB153)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27208, 27204])).
% 79.67/51.56 tff(27210,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB153) | (~v282(constB153)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB153) | (~v282(constB153)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27211,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB153) | (~v282(constB153)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27212,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB153) | (~v282(constB153))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 79.67/51.56 tff(27213,plain,
% 79.67/51.56 (~v282(constB153)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27212, 12334, 27209])).
% 79.67/51.56 tff(27214,plain,
% 79.67/51.56 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB153)) | (~v281(constB153)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB153)) | (~v281(constB153)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27215,plain,
% 79.67/51.56 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB153)) | (~v281(constB153)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27216,plain,
% 79.67/51.56 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB153)) | (~v281(constB153))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27215, 27214])).
% 79.67/51.56 tff(27217,plain,
% 79.67/51.56 (~v281(constB153)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27216, 12345, 20321])).
% 79.67/51.56 tff(27218,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB153)) | v281(constB153) | v282(constB153))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB153)) | v281(constB153) | v282(constB153))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27219,plain,
% 79.67/51.56 ((v282(constB153) | v281(constB153) | (~v278(constB153))) <=> ((~v278(constB153)) | v281(constB153) | v282(constB153))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27220,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB153) | v281(constB153) | (~v278(constB153)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB153)) | v281(constB153) | v282(constB153)))),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27219])).
% 79.67/51.56 tff(27221,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB153) | v281(constB153) | (~v278(constB153)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB153)) | v281(constB153) | v282(constB153))),
% 79.67/51.56 inference(transitivity,[status(thm)],[27220, 27218])).
% 79.67/51.56 tff(27222,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB153) | v281(constB153) | (~v278(constB153)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27223,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB153)) | v281(constB153) | v282(constB153)),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27222, 27221])).
% 79.67/51.56 tff(27224,plain,
% 79.67/51.56 ((~v278(constB153)) | v282(constB153)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27223, 12359, 27217])).
% 79.67/51.56 tff(27225,plain,
% 79.67/51.56 (~v278(constB153)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27224, 27213])).
% 79.67/51.56 tff(27226,plain,
% 79.67/51.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB153, constB154)) | v278(constB153) | (~v280(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB153, constB154)) | v278(constB153) | (~v280(constB154)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27227,plain,
% 79.67/51.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB153, constB154)) | v278(constB153) | (~v280(constB154)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27228,plain,
% 79.67/51.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB153, constB154)) | v278(constB153) | (~v280(constB154))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27227, 27226])).
% 79.67/51.56 tff(27229,plain,
% 79.67/51.56 (v278(constB153) | (~v280(constB154))),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27228, 12377, 18789])).
% 79.67/51.56 tff(27230,plain,
% 79.67/51.56 (~v280(constB154)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27229, 27225])).
% 79.67/51.56 tff(27231,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB154) | (~v281(constB154)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB154) | (~v281(constB154)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27232,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB154) | (~v281(constB154)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27233,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB154) | (~v281(constB154))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27232, 27231])).
% 79.67/51.56 tff(27234,plain,
% 79.67/51.56 (~v281(constB154)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27233, 12389, 27230])).
% 79.67/51.56 tff(27235,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB154) | (~v282(constB154)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB154) | (~v282(constB154)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27236,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB154) | (~v282(constB154)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27237,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB154) | (~v282(constB154))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27236, 27235])).
% 79.67/51.56 tff(27238,plain,
% 79.67/51.56 (~v282(constB154)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27237, 12400, 20351])).
% 79.67/51.56 tff(27239,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB154)) | v282(constB154) | v281(constB154))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB154)) | v282(constB154) | v281(constB154))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27240,plain,
% 79.67/51.56 ((v282(constB154) | v281(constB154) | (~v278(constB154))) <=> ((~v278(constB154)) | v282(constB154) | v281(constB154))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27241,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB154) | v281(constB154) | (~v278(constB154)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB154)) | v282(constB154) | v281(constB154)))),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27240])).
% 79.67/51.56 tff(27242,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB154) | v281(constB154) | (~v278(constB154)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB154)) | v282(constB154) | v281(constB154))),
% 79.67/51.56 inference(transitivity,[status(thm)],[27241, 27239])).
% 79.67/51.56 tff(27243,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB154) | v281(constB154) | (~v278(constB154)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27244,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB154)) | v282(constB154) | v281(constB154)),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27243, 27242])).
% 79.67/51.56 tff(27245,plain,
% 79.67/51.56 ((~v278(constB154)) | v281(constB154)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27244, 12359, 27238])).
% 79.67/51.56 tff(27246,plain,
% 79.67/51.56 (~v278(constB154)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27245, 27234])).
% 79.67/51.56 tff(27247,plain,
% 79.67/51.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB154, constB155)) | v278(constB154) | (~v280(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB154, constB155)) | v278(constB154) | (~v280(constB155)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27248,plain,
% 79.67/51.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB154, constB155)) | v278(constB154) | (~v280(constB155)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27249,plain,
% 79.67/51.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB154, constB155)) | v278(constB154) | (~v280(constB155))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 79.67/51.56 tff(27250,plain,
% 79.67/51.56 (v278(constB154) | (~v280(constB155))),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27249, 12377, 18851])).
% 79.67/51.56 tff(27251,plain,
% 79.67/51.56 (~v280(constB155)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27250, 27246])).
% 79.67/51.56 tff(27252,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB155) | (~v309(constB155)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB155) | (~v309(constB155)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27253,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB155) | (~v309(constB155)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27254,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB155) | (~v309(constB155))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27253, 27252])).
% 79.67/51.56 tff(27255,plain,
% 79.67/51.56 (~v309(constB155)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27254, 12424, 27251])).
% 79.67/51.56 tff(27256,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB155) | v288(constB155) | (~v289(constB155)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB155) | v288(constB155) | (~v289(constB155)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27257,plain,
% 79.67/51.56 ((v309(constB155) | (~v289(constB155)) | v288(constB155)) <=> (v309(constB155) | v288(constB155) | (~v289(constB155)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27258,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB155) | (~v289(constB155)) | v288(constB155))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB155) | v288(constB155) | (~v289(constB155))))),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27257])).
% 79.67/51.56 tff(27259,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB155) | (~v289(constB155)) | v288(constB155))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB155) | v288(constB155) | (~v289(constB155)))),
% 79.67/51.56 inference(transitivity,[status(thm)],[27258, 27256])).
% 79.67/51.56 tff(27260,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB155) | (~v289(constB155)) | v288(constB155))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27261,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB155) | v288(constB155) | (~v289(constB155))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27260, 27259])).
% 79.67/51.56 tff(27262,plain,
% 79.67/51.56 (v288(constB155) | (~v289(constB155))),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27261, 12438, 27255])).
% 79.67/51.56 tff(27263,plain,
% 79.67/51.56 (v288(constB155)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27262, 26863])).
% 79.67/51.56 tff(27264,plain,
% 79.67/51.56 ($false),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27263, 26276])).
% 79.67/51.56 tff(27265,plain,((~(constB155 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 79.67/51.56 tff(27266,plain,
% 79.67/51.56 (~(constB155 = sK0_VarCurr)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27265, 1])).
% 79.67/51.56 tff(27267,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 79.67/51.56 tff(27268,plain,
% 79.67/51.56 (v288(constB187) <=> v288(sK0_VarCurr)),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27267])).
% 79.67/51.56 tff(27269,plain,
% 79.67/51.56 (v288(sK0_VarCurr) <=> v288(constB187)),
% 79.67/51.56 inference(symmetry,[status(thm)],[27268])).
% 79.67/51.56 tff(27270,plain,
% 79.67/51.56 ((~v288(sK0_VarCurr)) <=> (~v288(constB187))),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27269])).
% 79.67/51.56 tff(27271,plain,
% 79.67/51.56 (~v288(constB187)),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[1, 27270])).
% 79.67/51.56 tff(27272,plain,
% 79.67/51.56 (^[VarCurr: $i] : refl((v200(VarCurr) | (~v141(VarCurr))) <=> (v200(VarCurr) | (~v141(VarCurr))))),
% 79.67/51.56 inference(bind,[status(th)],[])).
% 79.67/51.56 tff(27273,plain,
% 79.67/51.56 (![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))),
% 79.67/51.56 inference(quant_intro,[status(thm)],[27272])).
% 79.67/51.56 tff(27274,plain,
% 79.67/51.56 (![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27275,axiom,(![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1_1')).
% 79.67/51.56 tff(27276,plain,
% 79.67/51.56 (![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 79.67/51.56 tff(27277,plain,(
% 79.67/51.56 ![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))),
% 79.67/51.56 inference(skolemize,[status(sab)],[27276])).
% 79.67/51.56 tff(27278,plain,
% 79.67/51.56 (![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27277, 27273])).
% 79.67/51.56 tff(27279,plain,
% 79.67/51.56 (((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | (v200(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | v200(constB187) | (~v141(constB187)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27280,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | (v200(constB187) | (~v141(constB187)))),
% 79.67/51.56 inference(quant_inst,[status(thm)],[])).
% 79.67/51.56 tff(27281,plain,
% 79.67/51.56 ((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | v200(constB187) | (~v141(constB187))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27280, 27279])).
% 79.67/51.56 tff(27282,plain,
% 79.67/51.56 (v200(constB187)),
% 79.67/51.56 inference(unit_resolution,[status(thm)],[27281, 27278, 25719])).
% 79.67/51.56 tff(27283,plain,
% 79.67/51.56 (^[VarNext: $i] : refl(((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)) <=> ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)))),
% 79.67/51.56 inference(bind,[status(th)],[])).
% 79.67/51.56 tff(27284,plain,
% 79.67/51.56 (![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(quant_intro,[status(thm)],[27283])).
% 79.67/51.56 tff(27285,plain,
% 79.67/51.56 (![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27286,plain,
% 79.67/51.56 (^[VarNext: $i] : rewrite(((v193(VarNext) | (~v200(VarNext))) | (~v226(VarNext))) <=> ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)))),
% 79.67/51.56 inference(bind,[status(th)],[])).
% 79.67/51.56 tff(27287,plain,
% 79.67/51.56 (![VarNext: $i] : ((v193(VarNext) | (~v200(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(quant_intro,[status(thm)],[27286])).
% 79.67/51.56 tff(27288,axiom,(![VarNext: $i] : ((v193(VarNext) | (~v200(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_1')).
% 79.67/51.56 tff(27289,plain,
% 79.67/51.56 (![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27288, 27287])).
% 79.67/51.56 tff(27290,plain,
% 79.67/51.56 (![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27289, 27285])).
% 79.67/51.56 tff(27291,plain,(
% 79.67/51.56 ![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(skolemize,[status(sab)],[27290])).
% 79.67/51.56 tff(27292,plain,
% 79.67/51.56 (![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 79.67/51.56 inference(modus_ponens,[status(thm)],[27291, 27284])).
% 79.67/51.56 tff(27293,plain,
% 79.67/51.56 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | (v193(constB187) | (~v226(constB187)) | (~v200(constB187)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB187) | (~v226(constB187)) | (~v200(constB187)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27294,plain,
% 79.67/51.56 (((~v226(constB187)) | (~v200(constB187)) | v193(constB187)) <=> (v193(constB187) | (~v226(constB187)) | (~v200(constB187)))),
% 79.67/51.56 inference(rewrite,[status(thm)],[])).
% 79.67/51.56 tff(27295,plain,
% 79.67/51.56 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB187)) | (~v200(constB187)) | v193(constB187))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | (v193(constB187) | (~v226(constB187)) | (~v200(constB187))))),
% 79.67/51.56 inference(monotonicity,[status(thm)],[27294])).
% 79.67/51.56 tff(27296,plain,
% 79.67/51.57 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB187)) | (~v200(constB187)) | v193(constB187))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB187) | (~v226(constB187)) | (~v200(constB187)))),
% 79.67/51.57 inference(transitivity,[status(thm)],[27295, 27293])).
% 79.67/51.57 tff(27297,plain,
% 79.67/51.57 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB187)) | (~v200(constB187)) | v193(constB187))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27298,plain,
% 79.67/51.57 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB187) | (~v226(constB187)) | (~v200(constB187))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27297, 27296])).
% 79.67/51.57 tff(27299,plain,
% 79.67/51.57 (v193(constB187) | (~v226(constB187))),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27298, 27292, 27282])).
% 79.67/51.57 tff(27300,plain,
% 79.67/51.57 (v193(constB187)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27299, 25731])).
% 79.67/51.57 tff(27301,plain,
% 79.67/51.57 (^[VarCurr: $i] : refl(((~v193(VarCurr)) | (~v299(VarCurr))) <=> ((~v193(VarCurr)) | (~v299(VarCurr))))),
% 79.67/51.57 inference(bind,[status(th)],[])).
% 79.67/51.57 tff(27302,plain,
% 79.67/51.57 (![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr))) <=> ![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 79.67/51.57 inference(quant_intro,[status(thm)],[27301])).
% 79.67/51.57 tff(27303,plain,
% 79.67/51.57 (![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr))) <=> ![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27304,axiom,(![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_84_1_1_1_1')).
% 79.67/51.57 tff(27305,plain,
% 79.67/51.57 (![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27304, 27303])).
% 79.67/51.57 tff(27306,plain,(
% 79.67/51.57 ![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 79.67/51.57 inference(skolemize,[status(sab)],[27305])).
% 79.67/51.57 tff(27307,plain,
% 79.67/51.57 (![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27306, 27302])).
% 79.67/51.57 tff(27308,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | ((~v193(constB187)) | (~v299(constB187)))) <=> ((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | (~v193(constB187)) | (~v299(constB187)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27309,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | ((~v193(constB187)) | (~v299(constB187)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27310,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | (~v193(constB187)) | (~v299(constB187))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27309, 27308])).
% 79.67/51.57 tff(27311,plain,
% 79.67/51.57 (~v299(constB187)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27310, 27307, 27300])).
% 79.67/51.57 tff(27312,plain,
% 79.67/51.57 (^[VarCurr: $i] : refl((v299(VarCurr) | (~v298(VarCurr))) <=> (v299(VarCurr) | (~v298(VarCurr))))),
% 79.67/51.57 inference(bind,[status(th)],[])).
% 79.67/51.57 tff(27313,plain,
% 79.67/51.57 (![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr))) <=> ![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))),
% 79.67/51.57 inference(quant_intro,[status(thm)],[27312])).
% 79.67/51.57 tff(27314,plain,
% 79.67/51.57 (![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr))) <=> ![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27315,axiom,(![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_85_1_1_1_1')).
% 79.67/51.57 tff(27316,plain,
% 79.67/51.57 (![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27315, 27314])).
% 79.67/51.57 tff(27317,plain,(
% 79.67/51.57 ![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))),
% 79.67/51.57 inference(skolemize,[status(sab)],[27316])).
% 79.67/51.57 tff(27318,plain,
% 79.67/51.57 (![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27317, 27313])).
% 79.67/51.57 tff(27319,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB187) | (~v298(constB187)))) <=> ((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB187) | (~v298(constB187)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27320,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB187) | (~v298(constB187)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27321,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB187) | (~v298(constB187))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27320, 27319])).
% 79.67/51.57 tff(27322,plain,
% 79.67/51.57 (~v298(constB187)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27321, 27318, 27311])).
% 79.67/51.57 tff(27323,plain,
% 79.67/51.57 (^[VarCurr: $i] : refl((v298(VarCurr) | (~v297(VarCurr))) <=> (v298(VarCurr) | (~v297(VarCurr))))),
% 79.67/51.57 inference(bind,[status(th)],[])).
% 79.67/51.57 tff(27324,plain,
% 79.67/51.57 (![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))),
% 79.67/51.57 inference(quant_intro,[status(thm)],[27323])).
% 79.67/51.57 tff(27325,plain,
% 79.67/51.57 (![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27326,axiom,(![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_86_1_1_1_1')).
% 79.67/51.57 tff(27327,plain,
% 79.67/51.57 (![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27326, 27325])).
% 79.67/51.57 tff(27328,plain,(
% 79.67/51.57 ![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))),
% 79.67/51.57 inference(skolemize,[status(sab)],[27327])).
% 79.67/51.57 tff(27329,plain,
% 79.67/51.57 (![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27328, 27324])).
% 79.67/51.57 tff(27330,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB187) | (~v297(constB187)))) <=> ((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB187) | (~v297(constB187)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27331,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB187) | (~v297(constB187)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27332,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB187) | (~v297(constB187))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 79.67/51.57 tff(27333,plain,
% 79.67/51.57 (~v297(constB187)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27332, 27329, 27322])).
% 79.67/51.57 tff(27334,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB187) | (~v293(constB187)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB187) | (~v293(constB187)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27335,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB187) | (~v293(constB187)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27336,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB187) | (~v293(constB187))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27335, 27334])).
% 79.67/51.57 tff(27337,plain,
% 79.67/51.57 (~v293(constB187)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27336, 11437, 24128])).
% 79.67/51.57 tff(27338,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB187) | v297(constB187) | (~v292(constB187)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB187) | v297(constB187) | (~v292(constB187)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27339,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB187) | v297(constB187) | (~v292(constB187)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27340,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB187) | v297(constB187) | (~v292(constB187))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 79.67/51.57 tff(27341,plain,
% 79.67/51.57 (v297(constB187) | (~v292(constB187))),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27340, 11451, 27337])).
% 79.67/51.57 tff(27342,plain,
% 79.67/51.57 (~v292(constB187)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27341, 27333])).
% 79.67/51.57 tff(27343,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27344,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27345,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27344, 27343])).
% 79.67/51.57 tff(27346,plain,
% 79.67/51.57 (~v88(constB181, bitIndex0)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27345, 10755, 23574])).
% 79.67/51.57 tff(27347,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27348,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27349,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2)),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27348, 27347])).
% 79.67/51.57 tff(27350,plain,
% 79.67/51.57 (v88(constB181, bitIndex2)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27349, 10735, 23509])).
% 79.67/51.57 tff(27351,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27352,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27353,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1)),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27352, 27351])).
% 79.67/51.57 tff(27354,plain,
% 79.67/51.57 (v88(constB181, bitIndex1)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27353, 10690, 23540])).
% 79.67/51.57 tff(27355,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB181, bitIndex0) | v144(constB181) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB181, bitIndex0) | v144(constB181) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27356,plain,
% 79.67/51.57 (((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181)) <=> (v88(constB181, bitIndex0) | v144(constB181) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27357,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB181, bitIndex0) | v144(constB181) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1))))),
% 79.67/51.57 inference(monotonicity,[status(thm)],[27356])).
% 79.67/51.57 tff(27358,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB181, bitIndex0) | v144(constB181) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)))),
% 79.67/51.57 inference(transitivity,[status(thm)],[27357, 27355])).
% 79.67/51.57 tff(27359,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27360,plain,
% 79.67/51.57 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB181, bitIndex0) | v144(constB181) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27359, 27358])).
% 79.67/51.57 tff(27361,plain,
% 79.67/51.57 (v144(constB181)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27360, 10769, 27354, 27350, 27346])).
% 79.67/51.57 tff(27362,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB181) | (~v144(constB181)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB181) | (~v144(constB181)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27363,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB181) | (~v144(constB181)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27364,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB181) | (~v144(constB181))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 79.67/51.57 tff(27365,plain,
% 79.67/51.57 (v142(constB181)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27364, 10784, 27361])).
% 79.67/51.57 tff(27366,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB181) | (~v142(constB181)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27367,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB181) | (~v142(constB181)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27368,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB181) | (~v142(constB181))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 79.67/51.57 tff(27369,plain,
% 79.67/51.57 (v227(constB181)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27368, 10806, 27365])).
% 79.67/51.57 tff(27370,plain,
% 79.67/51.57 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB181) | (~v227(constB181)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB181) | (~v227(constB181)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27371,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB181) | (~v227(constB181)))),
% 79.67/51.57 inference(quant_inst,[status(thm)],[])).
% 79.67/51.57 tff(27372,plain,
% 79.67/51.57 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB181) | (~v227(constB181))),
% 79.67/51.57 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 79.67/51.57 tff(27373,plain,
% 79.67/51.57 (v226(constB181)),
% 79.67/51.57 inference(unit_resolution,[status(thm)],[27372, 10817, 27369])).
% 79.67/51.57 tff(27374,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB181)) | (~v88(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB181)) | (~v88(constB181, bitIndex1)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27375,plain,
% 79.67/51.57 (((~v88(constB181, bitIndex1)) | (~v139(constB181))) <=> ((~v139(constB181)) | (~v88(constB181, bitIndex1)))),
% 79.67/51.57 inference(rewrite,[status(thm)],[])).
% 79.67/51.57 tff(27376,plain,
% 79.67/51.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB181)) | (~v88(constB181, bitIndex1))))),
% 79.67/51.57 inference(monotonicity,[status(thm)],[27375])).
% 79.67/51.58 tff(27377,plain,
% 79.67/51.58 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB181)) | (~v88(constB181, bitIndex1)))),
% 79.67/51.58 inference(transitivity,[status(thm)],[27376, 27374])).
% 79.67/51.58 tff(27378,plain,
% 79.67/51.58 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))),
% 79.67/51.58 inference(quant_inst,[status(thm)],[])).
% 79.67/51.58 tff(27379,plain,
% 79.67/51.58 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB181)) | (~v88(constB181, bitIndex1))),
% 79.67/51.58 inference(modus_ponens,[status(thm)],[27378, 27377])).
% 79.67/51.58 tff(27380,plain,
% 79.67/51.58 (~v139(constB181)),
% 79.67/51.58 inference(unit_resolution,[status(thm)],[27379, 11863, 27354])).
% 79.67/51.58 tff(27381,plain,
% 79.67/51.58 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v140(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v140(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27382,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v140(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27383,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v140(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27382, 27381])).
% 79.75/51.58 tff(27384,plain,
% 79.75/51.58 (~v140(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27383, 11526, 27354])).
% 79.75/51.58 tff(27385,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27386,plain,
% 79.75/51.58 ((v140(constB181) | v139(constB181) | (~v168(constB181))) <=> (v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27387,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181))))),
% 79.75/51.58 inference(monotonicity,[status(thm)],[27386])).
% 79.75/51.58 tff(27388,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 79.75/51.58 inference(transitivity,[status(thm)],[27387, 27385])).
% 79.75/51.58 tff(27389,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27390,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27389, 27388])).
% 79.75/51.58 tff(27391,plain,
% 79.75/51.58 (~v168(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27390, 10907, 27384, 27380])).
% 79.75/51.58 tff(27392,plain,
% 79.75/51.58 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB181)) | v168(constB181) | (~v226(constB181)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB181)) | v168(constB181) | (~v226(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27393,plain,
% 79.75/51.58 ((v168(constB181) | (~v226(constB181)) | (~v161(constB181))) <=> ((~v161(constB181)) | v168(constB181) | (~v226(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27394,plain,
% 79.75/51.58 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB181) | (~v226(constB181)) | (~v161(constB181)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB181)) | v168(constB181) | (~v226(constB181))))),
% 79.75/51.58 inference(monotonicity,[status(thm)],[27393])).
% 79.75/51.58 tff(27395,plain,
% 79.75/51.58 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB181) | (~v226(constB181)) | (~v161(constB181)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB181)) | v168(constB181) | (~v226(constB181)))),
% 79.75/51.58 inference(transitivity,[status(thm)],[27394, 27392])).
% 79.75/51.58 tff(27396,plain,
% 79.75/51.58 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB181) | (~v226(constB181)) | (~v161(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27397,plain,
% 79.75/51.58 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB181)) | v168(constB181) | (~v226(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27396, 27395])).
% 79.75/51.58 tff(27398,plain,
% 79.75/51.58 ((~v161(constB181)) | (~v226(constB181))),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27397, 10975, 27391])).
% 79.75/51.58 tff(27399,plain,
% 79.75/51.58 (~v161(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27398, 27373])).
% 79.75/51.58 tff(27400,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB181) | (~v187(constB181)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB181) | (~v187(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27401,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB181) | (~v187(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27402,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB181) | (~v187(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27401, 27400])).
% 79.75/51.58 tff(27403,plain,
% 79.75/51.58 (~v187(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27402, 10989, 27399])).
% 79.75/51.58 tff(27404,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27405,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27406,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27405, 27404])).
% 79.75/51.58 tff(27407,plain,
% 79.75/51.58 (~v185(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27406, 11000, 27403])).
% 79.75/51.58 tff(27408,assumption,(v18(constB182)), introduced(assumption)).
% 79.75/51.58 tff(27409,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB182))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27410,plain,
% 79.75/51.58 ($false),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27409, 70, 27408])).
% 79.75/51.58 tff(27411,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 79.75/51.58 tff(27412,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27413,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27414,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27413, 27412])).
% 79.75/51.58 tff(27415,plain,
% 79.75/51.58 (v22(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27414, 83, 23618])).
% 79.75/51.58 tff(27416,plain,
% 79.75/51.58 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27417,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27418,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182)),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27417, 27416])).
% 79.75/51.58 tff(27419,plain,
% 79.75/51.58 ((~v19(constB182)) | v18(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27418, 97, 27415])).
% 79.75/51.58 tff(27420,plain,
% 79.75/51.58 (~v19(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27419, 27411])).
% 79.75/51.58 tff(27421,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27422,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27423,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 79.75/51.58 tff(27424,plain,
% 79.75/51.58 (v13(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27423, 112, 27420])).
% 79.75/51.58 tff(27425,plain,
% 79.75/51.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27426,plain,
% 79.75/51.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27427,plain,
% 79.75/51.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181)),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27426, 27425])).
% 79.75/51.58 tff(27428,plain,
% 79.75/51.58 ((~v13(constB182)) | v9(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27427, 129, 23598])).
% 79.75/51.58 tff(27429,plain,
% 79.75/51.58 (v9(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27428, 27424])).
% 79.75/51.58 tff(27430,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27431,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27432,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181)),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27431, 27430])).
% 79.75/51.58 tff(27433,plain,
% 79.75/51.58 ((~v9(constB181)) | v184(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27432, 11036, 23485])).
% 79.75/51.58 tff(27434,plain,
% 79.75/51.58 (v184(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27433, 27429])).
% 79.75/51.58 tff(27435,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB181) | (~v184(constB181)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB181) | (~v184(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27436,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB181) | (~v184(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27437,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB181) | (~v184(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27436, 27435])).
% 79.75/51.58 tff(27438,plain,
% 79.75/51.58 (v183(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27437, 11048, 27434])).
% 79.75/51.58 tff(27439,plain,
% 79.75/51.58 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB181)) | (~v183(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27440,plain,
% 79.75/51.58 (((~v183(constB181)) | (~v181(constB181))) <=> ((~v181(constB181)) | (~v183(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27441,plain,
% 79.75/51.58 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB181)) | (~v181(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181))))),
% 79.75/51.58 inference(monotonicity,[status(thm)],[27440])).
% 79.75/51.58 tff(27442,plain,
% 79.75/51.58 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB181)) | (~v181(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB181)) | (~v183(constB181)))),
% 79.75/51.58 inference(transitivity,[status(thm)],[27441, 27439])).
% 79.75/51.58 tff(27443,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB181)) | (~v181(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27444,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB181)) | (~v183(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 79.75/51.58 tff(27445,plain,
% 79.75/51.58 (~v181(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27444, 11059, 27438])).
% 79.75/51.58 tff(27446,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27447,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27448,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27447, 27446])).
% 79.75/51.58 tff(27449,plain,
% 79.75/51.58 (v185(constB181) | (~v178(constB181))),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27448, 11073, 27445])).
% 79.75/51.58 tff(27450,plain,
% 79.75/51.58 (~v178(constB181)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27449, 27407])).
% 79.75/51.58 tff(27451,plain,
% 79.75/51.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27452,plain,
% 79.75/51.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27453,plain,
% 79.75/51.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27452, 27451])).
% 79.75/51.58 tff(27454,plain,
% 79.75/51.58 (v178(constB181) | (~v180(constB182))),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27453, 11088, 23598])).
% 79.75/51.58 tff(27455,plain,
% 79.75/51.58 (~v180(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27454, 27450])).
% 79.75/51.58 tff(27456,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27457,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27458,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27457, 27456])).
% 79.75/51.58 tff(27459,plain,
% 79.75/51.58 (~v181(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27458, 11100, 27455])).
% 79.75/51.58 tff(27460,plain,
% 79.75/51.58 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27461,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27462,plain,
% 79.75/51.58 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27461, 27460])).
% 79.75/51.58 tff(27463,plain,
% 79.75/51.58 (~v184(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27462, 11111, 23618])).
% 79.75/51.58 tff(27464,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27465,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27466,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27465, 27464])).
% 79.75/51.58 tff(27467,plain,
% 79.75/51.58 (~v187(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27466, 11122, 27463])).
% 79.75/51.58 tff(27468,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27469,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27470,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27469, 27468])).
% 79.75/51.58 tff(27471,plain,
% 79.75/51.58 (~v185(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27470, 11000, 27467])).
% 79.75/51.58 tff(27472,plain,
% 79.75/51.58 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27473,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27474,plain,
% 79.75/51.58 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182))),
% 79.75/51.58 inference(modus_ponens,[status(thm)],[27473, 27472])).
% 79.75/51.58 tff(27475,plain,
% 79.75/51.58 (v181(constB182) | (~v178(constB182))),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27474, 11073, 27471])).
% 79.75/51.58 tff(27476,plain,
% 79.75/51.58 (~v178(constB182)),
% 79.75/51.58 inference(unit_resolution,[status(thm)],[27475, 27459])).
% 79.75/51.58 tff(27477,plain,
% 79.75/51.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 79.75/51.58 inference(rewrite,[status(thm)],[])).
% 79.75/51.58 tff(27478,plain,
% 79.75/51.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 79.75/51.58 inference(quant_inst,[status(thm)],[])).
% 79.75/51.58 tff(27479,plain,
% 79.75/51.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27478, 27477])).
% 79.75/51.59 tff(27480,plain,
% 79.75/51.59 (v178(constB182) | (~v180(constB183))),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27479, 11088, 23690])).
% 79.75/51.59 tff(27481,plain,
% 79.75/51.59 (~v180(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27480, 27476])).
% 79.75/51.59 tff(27482,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB183) | (~v215(constB183)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB183) | (~v215(constB183)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27483,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB183) | (~v215(constB183)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27484,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB183) | (~v215(constB183))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27483, 27482])).
% 79.75/51.59 tff(27485,plain,
% 79.75/51.59 (~v215(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27484, 11147, 27481])).
% 79.75/51.59 tff(27486,assumption,(v18(constB184)), introduced(assumption)).
% 79.75/51.59 tff(27487,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB184))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27488,plain,
% 79.75/51.59 ($false),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27487, 70, 27486])).
% 79.75/51.59 tff(27489,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 79.75/51.59 tff(27490,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27491,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27492,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 79.75/51.59 tff(27493,plain,
% 79.75/51.59 (v22(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27492, 83, 23852])).
% 79.75/51.59 tff(27494,plain,
% 79.75/51.59 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27495,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27496,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184)),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27495, 27494])).
% 79.75/51.59 tff(27497,plain,
% 79.75/51.59 ((~v19(constB184)) | v18(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27496, 97, 27493])).
% 79.75/51.59 tff(27498,plain,
% 79.75/51.59 (~v19(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27497, 27489])).
% 79.75/51.59 tff(27499,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27500,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27501,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27500, 27499])).
% 79.75/51.59 tff(27502,plain,
% 79.75/51.59 (v13(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27501, 112, 27498])).
% 79.75/51.59 tff(27503,plain,
% 79.75/51.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27504,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27505,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183)),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27504, 27503])).
% 79.75/51.59 tff(27506,plain,
% 79.75/51.59 ((~v13(constB184)) | v9(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27505, 129, 23832])).
% 79.75/51.59 tff(27507,plain,
% 79.75/51.59 (v9(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27506, 27502])).
% 79.75/51.59 tff(27508,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v184(constB183))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB183) | (~v9(constB183)) | v184(constB183))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27509,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v184(constB183))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27510,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB183) | (~v9(constB183)) | v184(constB183)),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27509, 27508])).
% 79.75/51.59 tff(27511,plain,
% 79.75/51.59 ((~v9(constB183)) | v184(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27510, 11036, 23687])).
% 79.75/51.59 tff(27512,plain,
% 79.75/51.59 (v184(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27511, 27507])).
% 79.75/51.59 tff(27513,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB183) | (~v184(constB183)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB183) | (~v184(constB183)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27514,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB183) | (~v184(constB183)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27515,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB183) | (~v184(constB183))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27514, 27513])).
% 79.75/51.59 tff(27516,plain,
% 79.75/51.59 (v183(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27515, 11048, 27512])).
% 79.75/51.59 tff(27517,plain,
% 79.75/51.59 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB183)) | (~v214(constB183)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB183)) | (~v214(constB183)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27518,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB183)) | (~v214(constB183)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27519,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB183)) | (~v214(constB183))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27518, 27517])).
% 79.75/51.59 tff(27520,plain,
% 79.75/51.59 (~v214(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27519, 11189, 27516])).
% 79.75/51.59 tff(27521,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB183) | v215(constB183) | (~v211(constB183)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB183) | v215(constB183) | (~v211(constB183)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27522,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB183) | v215(constB183) | (~v211(constB183)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27523,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB183) | v215(constB183) | (~v211(constB183))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27522, 27521])).
% 79.75/51.59 tff(27524,plain,
% 79.75/51.59 (v215(constB183) | (~v211(constB183))),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27523, 11203, 27520])).
% 79.75/51.59 tff(27525,plain,
% 79.75/51.59 (~v211(constB183)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27524, 27485])).
% 79.75/51.59 tff(27526,plain,
% 79.75/51.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27527,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27528,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27527, 27526])).
% 79.75/51.59 tff(27529,plain,
% 79.75/51.59 (v211(constB183) | (~v213(constB184))),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27528, 11218, 23832])).
% 79.75/51.59 tff(27530,plain,
% 79.75/51.59 (~v213(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27529, 27525])).
% 79.75/51.59 tff(27531,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB184) | (~v214(constB184)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB184) | (~v214(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27532,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB184) | (~v214(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27533,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB184) | (~v214(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27532, 27531])).
% 79.75/51.59 tff(27534,plain,
% 79.75/51.59 (~v214(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27533, 11230, 27530])).
% 79.75/51.59 tff(27535,plain,
% 79.75/51.59 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB184)) | (~v184(constB184)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB184)) | (~v184(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27536,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB184)) | (~v184(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27537,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB184)) | (~v184(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27536, 27535])).
% 79.75/51.59 tff(27538,plain,
% 79.75/51.59 (~v184(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27537, 11111, 23852])).
% 79.75/51.59 tff(27539,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB184) | (~v217(constB184)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB184) | (~v217(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27540,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB184) | (~v217(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27541,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB184) | (~v217(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27540, 27539])).
% 79.75/51.59 tff(27542,plain,
% 79.75/51.59 (~v217(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27541, 11245, 27538])).
% 79.75/51.59 tff(27543,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB184) | (~v216(constB184)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB184) | (~v216(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27544,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB184) | (~v216(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27545,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB184) | (~v216(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27544, 27543])).
% 79.75/51.59 tff(27546,plain,
% 79.75/51.59 (~v216(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27545, 11256, 27542])).
% 79.75/51.59 tff(27547,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB184) | (~v215(constB184)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB184) | (~v215(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27548,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB184) | (~v215(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27549,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB184) | (~v215(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27548, 27547])).
% 79.75/51.59 tff(27550,plain,
% 79.75/51.59 (~v215(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27549, 11267, 27546])).
% 79.75/51.59 tff(27551,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB184) | v215(constB184) | (~v211(constB184)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB184) | v215(constB184) | (~v211(constB184)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27552,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB184) | v215(constB184) | (~v211(constB184)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27553,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB184) | v215(constB184) | (~v211(constB184))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27552, 27551])).
% 79.75/51.59 tff(27554,plain,
% 79.75/51.59 (v214(constB184) | (~v211(constB184))),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27553, 11203, 27550])).
% 79.75/51.59 tff(27555,plain,
% 79.75/51.59 (~v211(constB184)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27554, 27534])).
% 79.75/51.59 tff(27556,plain,
% 79.75/51.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27557,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27558,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27557, 27556])).
% 79.75/51.59 tff(27559,plain,
% 79.75/51.59 (v211(constB184) | (~v213(constB185))),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27558, 11218, 23897])).
% 79.75/51.59 tff(27560,plain,
% 79.75/51.59 (~v213(constB185)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27559, 27555])).
% 79.75/51.59 tff(27561,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB185) | (~v245(constB185)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB185) | (~v245(constB185)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27562,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB185) | (~v245(constB185)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27563,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB185) | (~v245(constB185))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 79.75/51.59 tff(27564,plain,
% 79.75/51.59 (~v245(constB185)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27563, 11683, 27560])).
% 79.75/51.59 tff(27565,plain,
% 79.75/51.59 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB185)) | (~v244(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB185)) | (~v244(constB185)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27566,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB185)) | (~v244(constB185)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27567,plain,
% 79.75/51.59 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB185)) | (~v244(constB185))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 79.75/51.59 tff(27568,plain,
% 79.75/51.59 (~v244(constB185)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27567, 11694, 24082])).
% 79.75/51.59 tff(27569,plain,
% 79.75/51.59 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB185) | v245(constB185) | (~v241(constB185)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB185) | v245(constB185) | (~v241(constB185)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27570,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB185) | v245(constB185) | (~v241(constB185)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27571,plain,
% 79.75/51.59 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB185) | v245(constB185) | (~v241(constB185))),
% 79.75/51.59 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 79.75/51.59 tff(27572,plain,
% 79.75/51.59 (v245(constB185) | (~v241(constB185))),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27571, 11708, 27568])).
% 79.75/51.59 tff(27573,plain,
% 79.75/51.59 (~v241(constB185)),
% 79.75/51.59 inference(unit_resolution,[status(thm)],[27572, 27564])).
% 79.75/51.59 tff(27574,plain,
% 79.75/51.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186)))),
% 79.75/51.59 inference(rewrite,[status(thm)],[])).
% 79.75/51.59 tff(27575,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186)))),
% 79.75/51.59 inference(quant_inst,[status(thm)],[])).
% 79.75/51.59 tff(27576,plain,
% 79.75/51.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27575, 27574])).
% 79.75/51.60 tff(27577,plain,
% 79.75/51.60 (v241(constB185) | (~v243(constB186))),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27576, 11723, 24068])).
% 79.75/51.60 tff(27578,plain,
% 79.75/51.60 (~v243(constB186)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27577, 27573])).
% 79.75/51.60 tff(27579,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB186) | (~v244(constB186)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB186) | (~v244(constB186)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27580,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB186) | (~v244(constB186)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27581,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB186) | (~v244(constB186))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27580, 27579])).
% 79.75/51.60 tff(27582,plain,
% 79.75/51.60 (~v244(constB186)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27581, 11735, 27578])).
% 79.75/51.60 tff(27583,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB186) | (~v247(constB186)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB186) | (~v247(constB186)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27584,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB186) | (~v247(constB186)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27585,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB186) | (~v247(constB186))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 79.75/51.60 tff(27586,plain,
% 79.75/51.60 (~v247(constB186)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27585, 11746, 24107])).
% 79.75/51.60 tff(27587,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB186) | (~v246(constB186)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB186) | (~v246(constB186)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27588,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB186) | (~v246(constB186)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27589,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB186) | (~v246(constB186))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 79.75/51.60 tff(27590,plain,
% 79.75/51.60 (~v246(constB186)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27589, 11757, 27586])).
% 79.75/51.60 tff(27591,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB186) | (~v245(constB186)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB186) | (~v245(constB186)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27592,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB186) | (~v245(constB186)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27593,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB186) | (~v245(constB186))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 79.75/51.60 tff(27594,plain,
% 79.75/51.60 (~v245(constB186)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27593, 11768, 27590])).
% 79.75/51.60 tff(27595,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB186) | v245(constB186) | (~v241(constB186)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB186) | v245(constB186) | (~v241(constB186)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27596,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB186) | v245(constB186) | (~v241(constB186)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27597,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB186) | v245(constB186) | (~v241(constB186))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27596, 27595])).
% 79.75/51.60 tff(27598,plain,
% 79.75/51.60 (v244(constB186) | (~v241(constB186))),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27597, 11708, 27594])).
% 79.75/51.60 tff(27599,plain,
% 79.75/51.60 (~v241(constB186)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27598, 27582])).
% 79.75/51.60 tff(27600,plain,
% 79.75/51.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27601,plain,
% 79.75/51.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27602,plain,
% 79.75/51.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27601, 27600])).
% 79.75/51.60 tff(27603,plain,
% 79.75/51.60 (v241(constB186) | (~v243(constB187))),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27602, 11723, 24123])).
% 79.75/51.60 tff(27604,plain,
% 79.75/51.60 (~v243(constB187)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27603, 27599])).
% 79.75/51.60 tff(27605,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB187) | (~v302(constB187)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB187) | (~v302(constB187)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27606,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB187) | (~v302(constB187)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27607,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB187) | (~v302(constB187))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27606, 27605])).
% 79.75/51.60 tff(27608,plain,
% 79.75/51.60 (~v302(constB187)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27607, 11789, 27604])).
% 79.75/51.60 tff(27609,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB187) | v302(constB187) | v290(constB187))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB187) | v302(constB187) | v290(constB187))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27610,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB187) | v302(constB187) | v290(constB187))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27611,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB187) | v302(constB187) | v290(constB187)),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 79.75/51.60 tff(27612,plain,
% 79.75/51.60 (v292(constB187) | v290(constB187)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27611, 11803, 27608])).
% 79.75/51.60 tff(27613,plain,
% 79.75/51.60 (v290(constB187)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27612, 27342])).
% 79.75/51.60 tff(27614,plain,
% 79.75/51.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex2)) | v88(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex2)) | v88(constB177, bitIndex2))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27615,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex2)) | v88(constB177, bitIndex2))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27616,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex2)) | v88(constB177, bitIndex2)),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27615, 27614])).
% 79.75/51.60 tff(27617,plain,
% 79.75/51.60 (v88(constB177, bitIndex2)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27616, 10735, 23082])).
% 79.75/51.60 tff(27618,plain,
% 79.75/51.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB177, bitIndex2)) | (~v139(constB177)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB177, bitIndex2)) | (~v139(constB177)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27619,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB177, bitIndex2)) | (~v139(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27620,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB177, bitIndex2)) | (~v139(constB177))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27619, 27618])).
% 79.75/51.60 tff(27621,plain,
% 79.75/51.60 (~v139(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27620, 10882, 27617])).
% 79.75/51.60 tff(27622,plain,
% 79.75/51.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB177, bitIndex2)) | (~v140(constB177)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB177, bitIndex2)) | (~v140(constB177)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27623,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB177, bitIndex2)) | (~v140(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27624,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB177, bitIndex2)) | (~v140(constB177))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 79.75/51.60 tff(27625,plain,
% 79.75/51.60 (~v140(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27624, 10893, 27617])).
% 79.75/51.60 tff(27626,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB177) | v139(constB177) | (~v168(constB177)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27627,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27628,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB177) | v139(constB177) | (~v168(constB177))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27627, 27626])).
% 79.75/51.60 tff(27629,plain,
% 79.75/51.60 (~v168(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27628, 10907, 27625, 27621])).
% 79.75/51.60 tff(27630,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27631,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27632,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB177, bitIndex1) | (~v88(constB177, bitIndex1))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27631, 27630])).
% 79.75/51.60 tff(27633,plain,
% 79.75/51.60 (~v88(constB177, bitIndex1)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27632, 10918, 23116])).
% 79.75/51.60 tff(27634,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB177, bitIndex0) | (~v88(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB177, bitIndex0) | (~v88(constB177, bitIndex0)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27635,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB177, bitIndex0) | (~v88(constB177, bitIndex0)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27636,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB177, bitIndex0) | (~v88(constB177, bitIndex0))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27635, 27634])).
% 79.75/51.60 tff(27637,plain,
% 79.75/51.60 (~v88(constB177, bitIndex0)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27636, 10755, 23158])).
% 79.75/51.60 tff(27638,plain,
% 79.75/51.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB177) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0) | v88(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB177) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0) | v88(constB177, bitIndex1))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27639,plain,
% 79.75/51.60 (((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0) | v146(constB177)) <=> (v146(constB177) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0) | v88(constB177, bitIndex1))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27640,plain,
% 79.75/51.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0) | v146(constB177))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB177) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0) | v88(constB177, bitIndex1)))),
% 79.75/51.60 inference(monotonicity,[status(thm)],[27639])).
% 79.75/51.60 tff(27641,plain,
% 79.75/51.60 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0) | v146(constB177))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB177) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0) | v88(constB177, bitIndex1))),
% 79.75/51.60 inference(transitivity,[status(thm)],[27640, 27638])).
% 79.75/51.60 tff(27642,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0) | v146(constB177))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27643,plain,
% 79.75/51.60 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB177) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0) | v88(constB177, bitIndex1)),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27642, 27641])).
% 79.75/51.60 tff(27644,plain,
% 79.75/51.60 (v146(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27643, 10936, 27617, 27637, 27633])).
% 79.75/51.60 tff(27645,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB177) | (~v146(constB177)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB177) | (~v146(constB177)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27646,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB177) | (~v146(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27647,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB177) | (~v146(constB177))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27646, 27645])).
% 79.75/51.60 tff(27648,plain,
% 79.75/51.60 (v145(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27647, 10950, 27644])).
% 79.75/51.60 tff(27649,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB177) | (~v145(constB177)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB177) | (~v145(constB177)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27650,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB177) | (~v145(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27651,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB177) | (~v145(constB177))),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27650, 27649])).
% 79.75/51.60 tff(27652,plain,
% 79.75/51.60 (v226(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27651, 10961, 27648])).
% 79.75/51.60 tff(27653,plain,
% 79.75/51.60 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB177)) | (~v226(constB177)) | v168(constB177))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB177)) | (~v226(constB177)) | v168(constB177))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27654,plain,
% 79.75/51.60 ((v168(constB177) | (~v226(constB177)) | (~v161(constB177))) <=> ((~v161(constB177)) | (~v226(constB177)) | v168(constB177))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27655,plain,
% 79.75/51.60 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB177) | (~v226(constB177)) | (~v161(constB177)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB177)) | (~v226(constB177)) | v168(constB177)))),
% 79.75/51.60 inference(monotonicity,[status(thm)],[27654])).
% 79.75/51.60 tff(27656,plain,
% 79.75/51.60 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB177) | (~v226(constB177)) | (~v161(constB177)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB177)) | (~v226(constB177)) | v168(constB177))),
% 79.75/51.60 inference(transitivity,[status(thm)],[27655, 27653])).
% 79.75/51.60 tff(27657,plain,
% 79.75/51.60 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB177) | (~v226(constB177)) | (~v161(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.60 tff(27658,plain,
% 79.75/51.60 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB177)) | (~v226(constB177)) | v168(constB177)),
% 79.75/51.60 inference(modus_ponens,[status(thm)],[27657, 27656])).
% 79.75/51.60 tff(27659,plain,
% 79.75/51.60 (~v161(constB177)),
% 79.75/51.60 inference(unit_resolution,[status(thm)],[27658, 10975, 27652, 27629])).
% 79.75/51.60 tff(27660,plain,
% 79.75/51.60 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB177) | (~v187(constB177)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB177) | (~v187(constB177)))),
% 79.75/51.60 inference(rewrite,[status(thm)],[])).
% 79.75/51.60 tff(27661,plain,
% 79.75/51.60 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB177) | (~v187(constB177)))),
% 79.75/51.60 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27662,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB177) | (~v187(constB177))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27661, 27660])).
% 79.75/51.61 tff(27663,plain,
% 79.75/51.61 (~v187(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27662, 10989, 27659])).
% 79.75/51.61 tff(27664,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB177) | (~v185(constB177)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB177) | (~v185(constB177)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27665,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB177) | (~v185(constB177)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27666,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB177) | (~v185(constB177))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 79.75/51.61 tff(27667,plain,
% 79.75/51.61 (~v185(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27666, 11000, 27663])).
% 79.75/51.61 tff(27668,assumption,(v18(constB178)), introduced(assumption)).
% 79.75/51.61 tff(27669,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB178))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27670,plain,
% 79.75/51.61 ($false),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27669, 70, 27668])).
% 79.75/51.61 tff(27671,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 79.75/51.61 tff(27672,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27673,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27674,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 79.75/51.61 tff(27675,plain,
% 79.75/51.61 (v22(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27674, 83, 23227])).
% 79.75/51.61 tff(27676,plain,
% 79.75/51.61 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB178)) | (~v22(constB178)) | v18(constB178))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB178)) | (~v22(constB178)) | v18(constB178))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27677,plain,
% 79.75/51.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB178)) | (~v22(constB178)) | v18(constB178))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27678,plain,
% 79.75/51.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB178)) | (~v22(constB178)) | v18(constB178)),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 79.75/51.61 tff(27679,plain,
% 79.75/51.61 ((~v19(constB178)) | v18(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27678, 97, 27675])).
% 79.75/51.61 tff(27680,plain,
% 79.75/51.61 (~v19(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27679, 27671])).
% 79.75/51.61 tff(27681,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27682,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27683,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27682, 27681])).
% 79.75/51.61 tff(27684,plain,
% 79.75/51.61 (v13(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27683, 112, 27680])).
% 79.75/51.61 tff(27685,plain,
% 79.75/51.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27686,plain,
% 79.75/51.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27687,plain,
% 79.75/51.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177)),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 79.75/51.61 tff(27688,plain,
% 79.75/51.61 ((~v13(constB178)) | v9(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27687, 129, 23178])).
% 79.75/51.61 tff(27689,plain,
% 79.75/51.61 (v9(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27688, 27684])).
% 79.75/51.61 tff(27690,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v184(constB177))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB177) | (~v9(constB177)) | v184(constB177))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27691,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v184(constB177))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27692,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB177) | (~v9(constB177)) | v184(constB177)),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27691, 27690])).
% 79.75/51.61 tff(27693,plain,
% 79.75/51.61 ((~v9(constB177)) | v184(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27692, 11036, 23058])).
% 79.75/51.61 tff(27694,plain,
% 79.75/51.61 (v184(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27693, 27689])).
% 79.75/51.61 tff(27695,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB177) | (~v184(constB177)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB177) | (~v184(constB177)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27696,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB177) | (~v184(constB177)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27697,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB177) | (~v184(constB177))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27696, 27695])).
% 79.75/51.61 tff(27698,plain,
% 79.75/51.61 (v183(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27697, 11048, 27694])).
% 79.75/51.61 tff(27699,plain,
% 79.75/51.61 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB177)) | (~v183(constB177)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB177)) | (~v183(constB177)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27700,plain,
% 79.75/51.61 (((~v183(constB177)) | (~v181(constB177))) <=> ((~v181(constB177)) | (~v183(constB177)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27701,plain,
% 79.75/51.61 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB177)) | (~v181(constB177)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB177)) | (~v183(constB177))))),
% 79.75/51.61 inference(monotonicity,[status(thm)],[27700])).
% 79.75/51.61 tff(27702,plain,
% 79.75/51.61 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB177)) | (~v181(constB177)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB177)) | (~v183(constB177)))),
% 79.75/51.61 inference(transitivity,[status(thm)],[27701, 27699])).
% 79.75/51.61 tff(27703,plain,
% 79.75/51.61 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB177)) | (~v181(constB177)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27704,plain,
% 79.75/51.61 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB177)) | (~v183(constB177))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27703, 27702])).
% 79.75/51.61 tff(27705,plain,
% 79.75/51.61 (~v181(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27704, 11059, 27698])).
% 79.75/51.61 tff(27706,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB177) | v185(constB177) | (~v178(constB177)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB177) | v185(constB177) | (~v178(constB177)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27707,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB177) | v185(constB177) | (~v178(constB177)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27708,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB177) | v185(constB177) | (~v178(constB177))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27707, 27706])).
% 79.75/51.61 tff(27709,plain,
% 79.75/51.61 (v185(constB177) | (~v178(constB177))),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27708, 11073, 27705])).
% 79.75/51.61 tff(27710,plain,
% 79.75/51.61 (~v178(constB177)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27709, 27667])).
% 79.75/51.61 tff(27711,plain,
% 79.75/51.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27712,plain,
% 79.75/51.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27713,plain,
% 79.75/51.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 79.75/51.61 tff(27714,plain,
% 79.75/51.61 (v178(constB177) | (~v180(constB178))),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27713, 11088, 23178])).
% 79.75/51.61 tff(27715,plain,
% 79.75/51.61 (~v180(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27714, 27710])).
% 79.75/51.61 tff(27716,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB178) | (~v181(constB178)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB178) | (~v181(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27717,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB178) | (~v181(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27718,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB178) | (~v181(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27717, 27716])).
% 79.75/51.61 tff(27719,plain,
% 79.75/51.61 (~v181(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27718, 11100, 27715])).
% 79.75/51.61 tff(27720,plain,
% 79.75/51.61 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB178)) | (~v184(constB178)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB178)) | (~v184(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27721,plain,
% 79.75/51.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB178)) | (~v184(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27722,plain,
% 79.75/51.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB178)) | (~v184(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 79.75/51.61 tff(27723,plain,
% 79.75/51.61 (~v184(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27722, 11111, 23227])).
% 79.75/51.61 tff(27724,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB178) | (~v187(constB178)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB178) | (~v187(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27725,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB178) | (~v187(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27726,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB178) | (~v187(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 79.75/51.61 tff(27727,plain,
% 79.75/51.61 (~v187(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27726, 11122, 27723])).
% 79.75/51.61 tff(27728,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB178) | (~v185(constB178)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB178) | (~v185(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27729,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB178) | (~v185(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27730,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB178) | (~v185(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27729, 27728])).
% 79.75/51.61 tff(27731,plain,
% 79.75/51.61 (~v185(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27730, 11000, 27727])).
% 79.75/51.61 tff(27732,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB178) | v185(constB178) | (~v178(constB178)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB178) | v185(constB178) | (~v178(constB178)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27733,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB178) | v185(constB178) | (~v178(constB178)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27734,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB178) | v185(constB178) | (~v178(constB178))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27733, 27732])).
% 79.75/51.61 tff(27735,plain,
% 79.75/51.61 (v181(constB178) | (~v178(constB178))),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27734, 11073, 27731])).
% 79.75/51.61 tff(27736,plain,
% 79.75/51.61 (~v178(constB178)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27735, 27719])).
% 79.75/51.61 tff(27737,plain,
% 79.75/51.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27738,plain,
% 79.75/51.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27739,plain,
% 79.75/51.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27738, 27737])).
% 79.75/51.61 tff(27740,plain,
% 79.75/51.61 (v178(constB178) | (~v180(constB179))),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27739, 11088, 23297])).
% 79.75/51.61 tff(27741,plain,
% 79.75/51.61 (~v180(constB179)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27740, 27736])).
% 79.75/51.61 tff(27742,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB179) | (~v215(constB179)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB179) | (~v215(constB179)))),
% 79.75/51.61 inference(rewrite,[status(thm)],[])).
% 79.75/51.61 tff(27743,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB179) | (~v215(constB179)))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27744,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB179) | (~v215(constB179))),
% 79.75/51.61 inference(modus_ponens,[status(thm)],[27743, 27742])).
% 79.75/51.61 tff(27745,plain,
% 79.75/51.61 (~v215(constB179)),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27744, 11147, 27741])).
% 79.75/51.61 tff(27746,assumption,(v18(constB180)), introduced(assumption)).
% 79.75/51.61 tff(27747,plain,
% 79.75/51.61 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB180))),
% 79.75/51.61 inference(quant_inst,[status(thm)],[])).
% 79.75/51.61 tff(27748,plain,
% 79.75/51.61 ($false),
% 79.75/51.61 inference(unit_resolution,[status(thm)],[27747, 70, 27746])).
% 79.75/51.61 tff(27749,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 79.75/51.61 tff(27750,plain,
% 79.75/51.61 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27751,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27752,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 79.75/51.62 tff(27753,plain,
% 79.75/51.62 (v22(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27752, 83, 23446])).
% 79.75/51.62 tff(27754,plain,
% 79.75/51.62 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27755,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27756,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180)),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 79.75/51.62 tff(27757,plain,
% 79.75/51.62 ((~v19(constB180)) | v18(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27756, 97, 27753])).
% 79.75/51.62 tff(27758,plain,
% 79.75/51.62 (~v19(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27757, 27749])).
% 79.75/51.62 tff(27759,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27760,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27761,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27760, 27759])).
% 79.75/51.62 tff(27762,plain,
% 79.75/51.62 (v13(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27761, 112, 27758])).
% 79.75/51.62 tff(27763,plain,
% 79.75/51.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27764,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27765,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179)),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27764, 27763])).
% 79.75/51.62 tff(27766,plain,
% 79.75/51.62 ((~v13(constB180)) | v9(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27765, 129, 23426])).
% 79.75/51.62 tff(27767,plain,
% 79.75/51.62 (v9(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27766, 27762])).
% 79.75/51.62 tff(27768,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v184(constB179))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB179) | (~v9(constB179)) | v184(constB179))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27769,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v184(constB179))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27770,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB179) | (~v9(constB179)) | v184(constB179)),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27769, 27768])).
% 79.75/51.62 tff(27771,plain,
% 79.75/51.62 ((~v9(constB179)) | v184(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27770, 11036, 23294])).
% 79.75/51.62 tff(27772,plain,
% 79.75/51.62 (v184(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27771, 27767])).
% 79.75/51.62 tff(27773,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB179) | (~v184(constB179)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB179) | (~v184(constB179)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27774,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB179) | (~v184(constB179)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27775,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB179) | (~v184(constB179))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27774, 27773])).
% 79.75/51.62 tff(27776,plain,
% 79.75/51.62 (v183(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27775, 11048, 27772])).
% 79.75/51.62 tff(27777,plain,
% 79.75/51.62 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB179)) | (~v214(constB179)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB179)) | (~v214(constB179)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27778,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB179)) | (~v214(constB179)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27779,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB179)) | (~v214(constB179))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27778, 27777])).
% 79.75/51.62 tff(27780,plain,
% 79.75/51.62 (~v214(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27779, 11189, 27776])).
% 79.75/51.62 tff(27781,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB179) | v215(constB179) | (~v211(constB179)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB179) | v215(constB179) | (~v211(constB179)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27782,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB179) | v215(constB179) | (~v211(constB179)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27783,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB179) | v215(constB179) | (~v211(constB179))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27782, 27781])).
% 79.75/51.62 tff(27784,plain,
% 79.75/51.62 (v215(constB179) | (~v211(constB179))),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27783, 11203, 27780])).
% 79.75/51.62 tff(27785,plain,
% 79.75/51.62 (~v211(constB179)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27784, 27745])).
% 79.75/51.62 tff(27786,plain,
% 79.75/51.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB179, constB180)) | v211(constB179) | (~v213(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB179, constB180)) | v211(constB179) | (~v213(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27787,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB179, constB180)) | v211(constB179) | (~v213(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27788,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB179, constB180)) | v211(constB179) | (~v213(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27787, 27786])).
% 79.75/51.62 tff(27789,plain,
% 79.75/51.62 (v211(constB179) | (~v213(constB180))),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27788, 11218, 23426])).
% 79.75/51.62 tff(27790,plain,
% 79.75/51.62 (~v213(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27789, 27785])).
% 79.75/51.62 tff(27791,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB180) | (~v214(constB180)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB180) | (~v214(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27792,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB180) | (~v214(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27793,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB180) | (~v214(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 79.75/51.62 tff(27794,plain,
% 79.75/51.62 (~v214(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27793, 11230, 27790])).
% 79.75/51.62 tff(27795,plain,
% 79.75/51.62 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB180)) | (~v184(constB180)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB180)) | (~v184(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27796,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB180)) | (~v184(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27797,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB180)) | (~v184(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 79.75/51.62 tff(27798,plain,
% 79.75/51.62 (~v184(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27797, 11111, 23446])).
% 79.75/51.62 tff(27799,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB180) | (~v217(constB180)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB180) | (~v217(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27800,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB180) | (~v217(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27801,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB180) | (~v217(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27800, 27799])).
% 79.75/51.62 tff(27802,plain,
% 79.75/51.62 (~v217(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27801, 11245, 27798])).
% 79.75/51.62 tff(27803,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB180) | (~v216(constB180)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB180) | (~v216(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27804,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB180) | (~v216(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27805,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB180) | (~v216(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 79.75/51.62 tff(27806,plain,
% 79.75/51.62 (~v216(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27805, 11256, 27802])).
% 79.75/51.62 tff(27807,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB180) | (~v215(constB180)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB180) | (~v215(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27808,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB180) | (~v215(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27809,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB180) | (~v215(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 79.75/51.62 tff(27810,plain,
% 79.75/51.62 (~v215(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27809, 11267, 27806])).
% 79.75/51.62 tff(27811,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB180) | v215(constB180) | (~v211(constB180)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB180) | v215(constB180) | (~v211(constB180)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27812,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB180) | v215(constB180) | (~v211(constB180)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27813,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB180) | v215(constB180) | (~v211(constB180))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 79.75/51.62 tff(27814,plain,
% 79.75/51.62 (v214(constB180) | (~v211(constB180))),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27813, 11203, 27810])).
% 79.75/51.62 tff(27815,plain,
% 79.75/51.62 (~v211(constB180)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27814, 27794])).
% 79.75/51.62 tff(27816,plain,
% 79.75/51.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB180, constB181)) | v211(constB180) | (~v213(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB180, constB181)) | v211(constB180) | (~v213(constB181)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27817,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB180, constB181)) | v211(constB180) | (~v213(constB181)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27818,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB180, constB181)) | v211(constB180) | (~v213(constB181))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27817, 27816])).
% 79.75/51.62 tff(27819,plain,
% 79.75/51.62 (v211(constB180) | (~v213(constB181))),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27818, 11218, 23488])).
% 79.75/51.62 tff(27820,plain,
% 79.75/51.62 (~v213(constB181)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27819, 27815])).
% 79.75/51.62 tff(27821,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB181) | (~v245(constB181)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB181) | (~v245(constB181)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27822,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB181) | (~v245(constB181)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27823,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB181) | (~v245(constB181))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 79.75/51.62 tff(27824,plain,
% 79.75/51.62 (~v245(constB181)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27823, 11683, 27820])).
% 79.75/51.62 tff(27825,plain,
% 79.75/51.62 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB181)) | (~v244(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB181)) | (~v244(constB181)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27826,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB181)) | (~v244(constB181)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27827,plain,
% 79.75/51.62 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB181)) | (~v244(constB181))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27826, 27825])).
% 79.75/51.62 tff(27828,plain,
% 79.75/51.62 (~v244(constB181)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27827, 11694, 27438])).
% 79.75/51.62 tff(27829,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB181) | v245(constB181) | (~v241(constB181)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB181) | v245(constB181) | (~v241(constB181)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27830,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB181) | v245(constB181) | (~v241(constB181)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27831,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB181) | v245(constB181) | (~v241(constB181))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 79.75/51.62 tff(27832,plain,
% 79.75/51.62 (v245(constB181) | (~v241(constB181))),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27831, 11708, 27828])).
% 79.75/51.62 tff(27833,plain,
% 79.75/51.62 (~v241(constB181)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27832, 27824])).
% 79.75/51.62 tff(27834,plain,
% 79.75/51.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB181, constB182)) | v241(constB181) | (~v243(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB181, constB182)) | v241(constB181) | (~v243(constB182)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27835,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB181, constB182)) | v241(constB181) | (~v243(constB182)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27836,plain,
% 79.75/51.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB181, constB182)) | v241(constB181) | (~v243(constB182))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27835, 27834])).
% 79.75/51.62 tff(27837,plain,
% 79.75/51.62 (v241(constB181) | (~v243(constB182))),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27836, 11723, 23598])).
% 79.75/51.62 tff(27838,plain,
% 79.75/51.62 (~v243(constB182)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27837, 27833])).
% 79.75/51.62 tff(27839,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB182) | (~v244(constB182)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB182) | (~v244(constB182)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27840,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB182) | (~v244(constB182)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27841,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB182) | (~v244(constB182))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27840, 27839])).
% 79.75/51.62 tff(27842,plain,
% 79.75/51.62 (~v244(constB182)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27841, 11735, 27838])).
% 79.75/51.62 tff(27843,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB182) | (~v247(constB182)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB182) | (~v247(constB182)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27844,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB182) | (~v247(constB182)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27845,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB182) | (~v247(constB182))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 79.75/51.62 tff(27846,plain,
% 79.75/51.62 (~v247(constB182)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27845, 11746, 27463])).
% 79.75/51.62 tff(27847,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB182) | (~v246(constB182)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB182) | (~v246(constB182)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27848,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB182) | (~v246(constB182)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27849,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB182) | (~v246(constB182))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27848, 27847])).
% 79.75/51.62 tff(27850,plain,
% 79.75/51.62 (~v246(constB182)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27849, 11757, 27846])).
% 79.75/51.62 tff(27851,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB182) | (~v245(constB182)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB182) | (~v245(constB182)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27852,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB182) | (~v245(constB182)))),
% 79.75/51.62 inference(quant_inst,[status(thm)],[])).
% 79.75/51.62 tff(27853,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB182) | (~v245(constB182))),
% 79.75/51.62 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 79.75/51.62 tff(27854,plain,
% 79.75/51.62 (~v245(constB182)),
% 79.75/51.62 inference(unit_resolution,[status(thm)],[27853, 11768, 27850])).
% 79.75/51.62 tff(27855,plain,
% 79.75/51.62 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB182) | v245(constB182) | (~v241(constB182)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB182) | v245(constB182) | (~v241(constB182)))),
% 79.75/51.62 inference(rewrite,[status(thm)],[])).
% 79.75/51.62 tff(27856,plain,
% 79.75/51.62 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB182) | v245(constB182) | (~v241(constB182)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27857,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB182) | v245(constB182) | (~v241(constB182))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27856, 27855])).
% 79.75/51.63 tff(27858,plain,
% 79.75/51.63 (v244(constB182) | (~v241(constB182))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27857, 11708, 27854])).
% 79.75/51.63 tff(27859,plain,
% 79.75/51.63 (~v241(constB182)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27858, 27842])).
% 79.75/51.63 tff(27860,plain,
% 79.75/51.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB182, constB183)) | v241(constB182) | (~v243(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB182, constB183)) | v241(constB182) | (~v243(constB183)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27861,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB182, constB183)) | v241(constB182) | (~v243(constB183)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27862,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB182, constB183)) | v241(constB182) | (~v243(constB183))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 79.75/51.63 tff(27863,plain,
% 79.75/51.63 (v241(constB182) | (~v243(constB183))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27862, 11723, 23690])).
% 79.75/51.63 tff(27864,plain,
% 79.75/51.63 (~v243(constB183)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27863, 27859])).
% 79.75/51.63 tff(27865,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB183) | (~v260(constB183)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB183) | (~v260(constB183)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27866,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB183) | (~v260(constB183)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27867,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB183) | (~v260(constB183))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27866, 27865])).
% 79.75/51.63 tff(27868,plain,
% 79.75/51.63 (~v260(constB183)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27867, 12130, 27864])).
% 79.75/51.63 tff(27869,plain,
% 79.75/51.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB183)) | (~v259(constB183)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB183)) | (~v259(constB183)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27870,plain,
% 79.75/51.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB183)) | (~v259(constB183)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27871,plain,
% 79.75/51.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB183)) | (~v259(constB183))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27870, 27869])).
% 79.75/51.63 tff(27872,plain,
% 79.75/51.63 (~v259(constB183)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27871, 12141, 27516])).
% 79.75/51.63 tff(27873,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB183) | v260(constB183) | (~v256(constB183)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB183) | v260(constB183) | (~v256(constB183)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27874,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB183) | v260(constB183) | (~v256(constB183)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27875,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB183) | v260(constB183) | (~v256(constB183))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27874, 27873])).
% 79.75/51.63 tff(27876,plain,
% 79.75/51.63 (v260(constB183) | (~v256(constB183))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27875, 12155, 27872])).
% 79.75/51.63 tff(27877,plain,
% 79.75/51.63 (~v256(constB183)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27876, 27868])).
% 79.75/51.63 tff(27878,plain,
% 79.75/51.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB183, constB184)) | v256(constB183) | (~v258(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB183, constB184)) | v256(constB183) | (~v258(constB184)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27879,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB183, constB184)) | v256(constB183) | (~v258(constB184)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27880,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB183, constB184)) | v256(constB183) | (~v258(constB184))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27879, 27878])).
% 79.75/51.63 tff(27881,plain,
% 79.75/51.63 (v256(constB183) | (~v258(constB184))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27880, 12170, 23832])).
% 79.75/51.63 tff(27882,plain,
% 79.75/51.63 (~v258(constB184)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27881, 27877])).
% 79.75/51.63 tff(27883,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB184) | (~v259(constB184)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB184) | (~v259(constB184)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27884,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB184) | (~v259(constB184)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27885,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB184) | (~v259(constB184))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27884, 27883])).
% 79.75/51.63 tff(27886,plain,
% 79.75/51.63 (~v259(constB184)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27885, 12182, 27882])).
% 79.75/51.63 tff(27887,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB184) | (~v262(constB184)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB184) | (~v262(constB184)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27888,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB184) | (~v262(constB184)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27889,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB184) | (~v262(constB184))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 79.75/51.63 tff(27890,plain,
% 79.75/51.63 (~v262(constB184)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27889, 12193, 27538])).
% 79.75/51.63 tff(27891,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB184) | (~v261(constB184)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB184) | (~v261(constB184)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27892,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB184) | (~v261(constB184)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27893,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB184) | (~v261(constB184))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27892, 27891])).
% 79.75/51.63 tff(27894,plain,
% 79.75/51.63 (~v261(constB184)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27893, 12204, 27890])).
% 79.75/51.63 tff(27895,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB184) | (~v260(constB184)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB184) | (~v260(constB184)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27896,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB184) | (~v260(constB184)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27897,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB184) | (~v260(constB184))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27896, 27895])).
% 79.75/51.63 tff(27898,plain,
% 79.75/51.63 (~v260(constB184)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27897, 12215, 27894])).
% 79.75/51.63 tff(27899,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB184) | v260(constB184) | (~v256(constB184)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB184) | v260(constB184) | (~v256(constB184)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27900,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB184) | v260(constB184) | (~v256(constB184)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27901,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB184) | v260(constB184) | (~v256(constB184))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27900, 27899])).
% 79.75/51.63 tff(27902,plain,
% 79.75/51.63 (v259(constB184) | (~v256(constB184))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27901, 12155, 27898])).
% 79.75/51.63 tff(27903,plain,
% 79.75/51.63 (~v256(constB184)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27902, 27886])).
% 79.75/51.63 tff(27904,plain,
% 79.75/51.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB184, constB185)) | v256(constB184) | (~v258(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB184, constB185)) | v256(constB184) | (~v258(constB185)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27905,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB184, constB185)) | v256(constB184) | (~v258(constB185)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27906,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB184, constB185)) | v256(constB184) | (~v258(constB185))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27905, 27904])).
% 79.75/51.63 tff(27907,plain,
% 79.75/51.63 (v256(constB184) | (~v258(constB185))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27906, 12170, 23897])).
% 79.75/51.63 tff(27908,plain,
% 79.75/51.63 (~v258(constB185)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27907, 27903])).
% 79.75/51.63 tff(27909,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB185) | (~v271(constB185)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB185) | (~v271(constB185)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27910,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB185) | (~v271(constB185)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27911,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB185) | (~v271(constB185))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27910, 27909])).
% 79.75/51.63 tff(27912,plain,
% 79.75/51.63 (~v271(constB185)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27911, 12236, 27908])).
% 79.75/51.63 tff(27913,plain,
% 79.75/51.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB185)) | (~v270(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB185)) | (~v270(constB185)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27914,plain,
% 79.75/51.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB185)) | (~v270(constB185)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27915,plain,
% 79.75/51.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB185)) | (~v270(constB185))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27914, 27913])).
% 79.75/51.63 tff(27916,plain,
% 79.75/51.63 (~v270(constB185)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27915, 12247, 24082])).
% 79.75/51.63 tff(27917,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB185)) | v270(constB185) | v271(constB185))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB185)) | v270(constB185) | v271(constB185))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27918,plain,
% 79.75/51.63 ((v271(constB185) | v270(constB185) | (~v267(constB185))) <=> ((~v267(constB185)) | v270(constB185) | v271(constB185))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27919,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB185) | v270(constB185) | (~v267(constB185)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB185)) | v270(constB185) | v271(constB185)))),
% 79.75/51.63 inference(monotonicity,[status(thm)],[27918])).
% 79.75/51.63 tff(27920,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB185) | v270(constB185) | (~v267(constB185)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB185)) | v270(constB185) | v271(constB185))),
% 79.75/51.63 inference(transitivity,[status(thm)],[27919, 27917])).
% 79.75/51.63 tff(27921,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB185) | v270(constB185) | (~v267(constB185)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27922,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB185)) | v270(constB185) | v271(constB185)),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 79.75/51.63 tff(27923,plain,
% 79.75/51.63 ((~v267(constB185)) | v271(constB185)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27922, 12261, 27916])).
% 79.75/51.63 tff(27924,plain,
% 79.75/51.63 (~v267(constB185)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27923, 27912])).
% 79.75/51.63 tff(27925,plain,
% 79.75/51.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB185, constB186)) | v267(constB185) | (~v269(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB185, constB186)) | v267(constB185) | (~v269(constB186)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27926,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB185, constB186)) | v267(constB185) | (~v269(constB186)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27927,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB185, constB186)) | v267(constB185) | (~v269(constB186))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 79.75/51.63 tff(27928,plain,
% 79.75/51.63 (v267(constB185) | (~v269(constB186))),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27927, 12279, 24068])).
% 79.75/51.63 tff(27929,plain,
% 79.75/51.63 (~v269(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27928, 27924])).
% 79.75/51.63 tff(27930,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB186) | (~v270(constB186)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB186) | (~v270(constB186)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27931,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB186) | (~v270(constB186)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27932,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB186) | (~v270(constB186))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27931, 27930])).
% 79.75/51.63 tff(27933,plain,
% 79.75/51.63 (~v270(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27932, 12291, 27929])).
% 79.75/51.63 tff(27934,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB186) | (~v262(constB186)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB186) | (~v262(constB186)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27935,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB186) | (~v262(constB186)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27936,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB186) | (~v262(constB186))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 79.75/51.63 tff(27937,plain,
% 79.75/51.63 (~v262(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27936, 12193, 24107])).
% 79.75/51.63 tff(27938,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB186) | (~v261(constB186)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB186) | (~v261(constB186)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27939,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB186) | (~v261(constB186)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27940,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB186) | (~v261(constB186))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27939, 27938])).
% 79.75/51.63 tff(27941,plain,
% 79.75/51.63 (~v261(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27940, 12204, 27937])).
% 79.75/51.63 tff(27942,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB186) | (~v271(constB186)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB186) | (~v271(constB186)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27943,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB186) | (~v271(constB186)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27944,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB186) | (~v271(constB186))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27943, 27942])).
% 79.75/51.63 tff(27945,plain,
% 79.75/51.63 (~v271(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27944, 12310, 27941])).
% 79.75/51.63 tff(27946,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB186)) | v271(constB186) | v270(constB186))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB186)) | v271(constB186) | v270(constB186))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27947,plain,
% 79.75/51.63 ((v271(constB186) | v270(constB186) | (~v267(constB186))) <=> ((~v267(constB186)) | v271(constB186) | v270(constB186))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27948,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB186) | v270(constB186) | (~v267(constB186)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB186)) | v271(constB186) | v270(constB186)))),
% 79.75/51.63 inference(monotonicity,[status(thm)],[27947])).
% 79.75/51.63 tff(27949,plain,
% 79.75/51.63 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB186) | v270(constB186) | (~v267(constB186)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB186)) | v271(constB186) | v270(constB186))),
% 79.75/51.63 inference(transitivity,[status(thm)],[27948, 27946])).
% 79.75/51.63 tff(27950,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB186) | v270(constB186) | (~v267(constB186)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27951,plain,
% 79.75/51.63 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB186)) | v271(constB186) | v270(constB186)),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27950, 27949])).
% 79.75/51.63 tff(27952,plain,
% 79.75/51.63 ((~v267(constB186)) | v270(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27951, 12261, 27945])).
% 79.75/51.63 tff(27953,plain,
% 79.75/51.63 (~v267(constB186)),
% 79.75/51.63 inference(unit_resolution,[status(thm)],[27952, 27933])).
% 79.75/51.63 tff(27954,plain,
% 79.75/51.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB186, constB187)) | v267(constB186) | (~v269(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB186, constB187)) | v267(constB186) | (~v269(constB187)))),
% 79.75/51.63 inference(rewrite,[status(thm)],[])).
% 79.75/51.63 tff(27955,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB186, constB187)) | v267(constB186) | (~v269(constB187)))),
% 79.75/51.63 inference(quant_inst,[status(thm)],[])).
% 79.75/51.63 tff(27956,plain,
% 79.75/51.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB186, constB187)) | v267(constB186) | (~v269(constB187))),
% 79.75/51.63 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 79.75/51.63 tff(27957,plain,
% 79.75/51.64 (v267(constB186) | (~v269(constB187))),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27956, 12279, 24123])).
% 79.75/51.64 tff(27958,plain,
% 79.75/51.64 (~v269(constB187)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27957, 27953])).
% 79.75/51.64 tff(27959,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB187) | (~v307(constB187)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB187) | (~v307(constB187)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27960,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB187) | (~v307(constB187)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27961,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB187) | (~v307(constB187))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 79.75/51.64 tff(27962,plain,
% 79.75/51.64 (~v307(constB187)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27961, 20510, 27958])).
% 79.75/51.64 tff(27963,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB187) | (~v290(constB187)) | v289(constB187))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB187) | (~v290(constB187)) | v289(constB187))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27964,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB187) | (~v290(constB187)) | v289(constB187))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27965,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB187) | (~v290(constB187)) | v289(constB187)),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 79.75/51.64 tff(27966,plain,
% 79.75/51.64 ((~v290(constB187)) | v289(constB187)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27965, 11821, 27962])).
% 79.75/51.64 tff(27967,plain,
% 79.75/51.64 (v289(constB187)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27966, 27613])).
% 79.75/51.64 tff(27968,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27969,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27970,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 79.75/51.64 tff(27971,plain,
% 79.75/51.64 (~v88(constB175, bitIndex2)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27970, 11467, 22901])).
% 79.75/51.64 tff(27972,plain,
% 79.75/51.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27973,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27974,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1)),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27973, 27972])).
% 79.75/51.64 tff(27975,plain,
% 79.75/51.64 (v88(constB175, bitIndex1)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27974, 10690, 22932])).
% 79.75/51.64 tff(27976,plain,
% 79.75/51.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27977,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27978,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0)),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27977, 27976])).
% 79.75/51.64 tff(27979,plain,
% 79.75/51.64 (v88(constB175, bitIndex0)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27978, 11313, 22963])).
% 79.75/51.64 tff(27980,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175) | (~v88(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175) | (~v88(constB175, bitIndex1)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27981,plain,
% 79.75/51.64 ((v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175)) <=> (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175) | (~v88(constB175, bitIndex1)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27982,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175) | (~v88(constB175, bitIndex1))))),
% 79.75/51.64 inference(monotonicity,[status(thm)],[27981])).
% 79.75/51.64 tff(27983,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175) | (~v88(constB175, bitIndex1)))),
% 79.75/51.64 inference(transitivity,[status(thm)],[27982, 27980])).
% 79.75/51.64 tff(27984,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27985,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175) | (~v88(constB175, bitIndex1))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27984, 27983])).
% 79.75/51.64 tff(27986,plain,
% 79.75/51.64 (v141(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27985, 11485, 27979, 27975, 27971])).
% 79.75/51.64 tff(27987,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB175) | (~v141(constB175)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB175) | (~v141(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27988,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB175) | (~v141(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27989,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB175) | (~v141(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27988, 27987])).
% 79.75/51.64 tff(27990,plain,
% 79.75/51.64 (v228(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27989, 11500, 27986])).
% 79.75/51.64 tff(27991,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB175) | (~v228(constB175)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB175) | (~v228(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27992,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB175) | (~v228(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27993,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB175) | (~v228(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27992, 27991])).
% 79.75/51.64 tff(27994,plain,
% 79.75/51.64 (v227(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27993, 11511, 27990])).
% 79.75/51.64 tff(27995,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB175) | (~v227(constB175)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB175) | (~v227(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(27996,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB175) | (~v227(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(27997,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB175) | (~v227(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 79.75/51.64 tff(27998,plain,
% 79.75/51.64 (v226(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[27997, 10817, 27994])).
% 79.75/51.64 tff(27999,plain,
% 79.75/51.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB175)) | (~v88(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28000,plain,
% 79.75/51.64 (((~v88(constB175, bitIndex1)) | (~v140(constB175))) <=> ((~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28001,plain,
% 79.75/51.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB175, bitIndex1)) | (~v140(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB175)) | (~v88(constB175, bitIndex1))))),
% 79.75/51.64 inference(monotonicity,[status(thm)],[28000])).
% 79.75/51.64 tff(28002,plain,
% 79.75/51.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB175, bitIndex1)) | (~v140(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 79.75/51.64 inference(transitivity,[status(thm)],[28001, 27999])).
% 79.75/51.64 tff(28003,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB175, bitIndex1)) | (~v140(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28004,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[28003, 28002])).
% 79.75/51.64 tff(28005,plain,
% 79.75/51.64 (~v140(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28004, 11526, 27975])).
% 79.75/51.64 tff(28006,plain,
% 79.75/51.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB175, bitIndex0)) | (~v139(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB175, bitIndex0)) | (~v139(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28007,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB175, bitIndex0)) | (~v139(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28008,plain,
% 79.75/51.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB175, bitIndex0)) | (~v139(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[28007, 28006])).
% 79.75/51.64 tff(28009,plain,
% 79.75/51.64 (~v139(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28008, 11324, 27979])).
% 79.75/51.64 tff(28010,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB175) | v139(constB175) | (~v168(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28011,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28012,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB175) | v139(constB175) | (~v168(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[28011, 28010])).
% 79.75/51.64 tff(28013,plain,
% 79.75/51.64 (~v168(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28012, 10907, 28009, 28005])).
% 79.75/51.64 tff(28014,plain,
% 79.75/51.64 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB175)) | v168(constB175) | (~v226(constB175)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB175)) | v168(constB175) | (~v226(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28015,plain,
% 79.75/51.64 ((v168(constB175) | (~v226(constB175)) | (~v161(constB175))) <=> ((~v161(constB175)) | v168(constB175) | (~v226(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28016,plain,
% 79.75/51.64 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB175) | (~v226(constB175)) | (~v161(constB175)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB175)) | v168(constB175) | (~v226(constB175))))),
% 79.75/51.64 inference(monotonicity,[status(thm)],[28015])).
% 79.75/51.64 tff(28017,plain,
% 79.75/51.64 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB175) | (~v226(constB175)) | (~v161(constB175)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB175)) | v168(constB175) | (~v226(constB175)))),
% 79.75/51.64 inference(transitivity,[status(thm)],[28016, 28014])).
% 79.75/51.64 tff(28018,plain,
% 79.75/51.64 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB175) | (~v226(constB175)) | (~v161(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28019,plain,
% 79.75/51.64 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB175)) | v168(constB175) | (~v226(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[28018, 28017])).
% 79.75/51.64 tff(28020,plain,
% 79.75/51.64 ((~v161(constB175)) | (~v226(constB175))),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28019, 10975, 28013])).
% 79.75/51.64 tff(28021,plain,
% 79.75/51.64 (~v161(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28020, 27998])).
% 79.75/51.64 tff(28022,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB175) | (~v187(constB175)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB175) | (~v187(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28023,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB175) | (~v187(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28024,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB175) | (~v187(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[28023, 28022])).
% 79.75/51.64 tff(28025,plain,
% 79.75/51.64 (~v187(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28024, 10989, 28021])).
% 79.75/51.64 tff(28026,plain,
% 79.75/51.64 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB175) | (~v185(constB175)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB175) | (~v185(constB175)))),
% 79.75/51.64 inference(rewrite,[status(thm)],[])).
% 79.75/51.64 tff(28027,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB175) | (~v185(constB175)))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28028,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB175) | (~v185(constB175))),
% 79.75/51.64 inference(modus_ponens,[status(thm)],[28027, 28026])).
% 79.75/51.64 tff(28029,plain,
% 79.75/51.64 (~v185(constB175)),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28028, 11000, 28025])).
% 79.75/51.64 tff(28030,assumption,(v18(constB176)), introduced(assumption)).
% 79.75/51.64 tff(28031,plain,
% 79.75/51.64 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB176))),
% 79.75/51.64 inference(quant_inst,[status(thm)],[])).
% 79.75/51.64 tff(28032,plain,
% 79.75/51.64 ($false),
% 79.75/51.64 inference(unit_resolution,[status(thm)],[28031, 70, 28030])).
% 79.75/51.64 tff(28033,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 79.75/51.65 tff(28034,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28035,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28036,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28035, 28034])).
% 79.75/51.65 tff(28037,plain,
% 79.75/51.65 (v22(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28036, 83, 23019])).
% 79.75/51.65 tff(28038,plain,
% 79.75/51.65 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB176)) | (~v22(constB176)) | v18(constB176))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB176)) | (~v22(constB176)) | v18(constB176))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28039,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB176)) | (~v22(constB176)) | v18(constB176))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28040,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB176)) | (~v22(constB176)) | v18(constB176)),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28039, 28038])).
% 79.75/51.65 tff(28041,plain,
% 79.75/51.65 ((~v19(constB176)) | v18(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28040, 97, 28037])).
% 79.75/51.65 tff(28042,plain,
% 79.75/51.65 (~v19(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28041, 28033])).
% 79.75/51.65 tff(28043,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28044,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28045,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28044, 28043])).
% 79.75/51.65 tff(28046,plain,
% 79.75/51.65 (v13(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28045, 112, 28042])).
% 79.75/51.65 tff(28047,plain,
% 79.75/51.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28048,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28049,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175)),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28048, 28047])).
% 79.75/51.65 tff(28050,plain,
% 79.75/51.65 ((~v13(constB176)) | v9(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28049, 129, 22999])).
% 79.75/51.65 tff(28051,plain,
% 79.75/51.65 (v9(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28050, 28046])).
% 79.75/51.65 tff(28052,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v184(constB175))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB175) | (~v9(constB175)) | v184(constB175))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28053,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v184(constB175))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28054,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB175) | (~v9(constB175)) | v184(constB175)),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28053, 28052])).
% 79.75/51.65 tff(28055,plain,
% 79.75/51.65 ((~v9(constB175)) | v184(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28054, 11036, 22877])).
% 79.75/51.65 tff(28056,plain,
% 79.75/51.65 (v184(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28055, 28051])).
% 79.75/51.65 tff(28057,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB175) | (~v184(constB175)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB175) | (~v184(constB175)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28058,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB175) | (~v184(constB175)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28059,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB175) | (~v184(constB175))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 79.75/51.65 tff(28060,plain,
% 79.75/51.65 (v183(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28059, 11048, 28056])).
% 79.75/51.65 tff(28061,plain,
% 79.75/51.65 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB175)) | (~v183(constB175)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB175)) | (~v183(constB175)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28062,plain,
% 79.75/51.65 (((~v183(constB175)) | (~v181(constB175))) <=> ((~v181(constB175)) | (~v183(constB175)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28063,plain,
% 79.75/51.65 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB175)) | (~v181(constB175)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB175)) | (~v183(constB175))))),
% 79.75/51.65 inference(monotonicity,[status(thm)],[28062])).
% 79.75/51.65 tff(28064,plain,
% 79.75/51.65 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB175)) | (~v181(constB175)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB175)) | (~v183(constB175)))),
% 79.75/51.65 inference(transitivity,[status(thm)],[28063, 28061])).
% 79.75/51.65 tff(28065,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB175)) | (~v181(constB175)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28066,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB175)) | (~v183(constB175))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28065, 28064])).
% 79.75/51.65 tff(28067,plain,
% 79.75/51.65 (~v181(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28066, 11059, 28060])).
% 79.75/51.65 tff(28068,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB175) | v185(constB175) | (~v178(constB175)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB175) | v185(constB175) | (~v178(constB175)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28069,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB175) | v185(constB175) | (~v178(constB175)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28070,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB175) | v185(constB175) | (~v178(constB175))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28069, 28068])).
% 79.75/51.65 tff(28071,plain,
% 79.75/51.65 (v185(constB175) | (~v178(constB175))),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28070, 11073, 28067])).
% 79.75/51.65 tff(28072,plain,
% 79.75/51.65 (~v178(constB175)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28071, 28029])).
% 79.75/51.65 tff(28073,plain,
% 79.75/51.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28074,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28075,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28074, 28073])).
% 79.75/51.65 tff(28076,plain,
% 79.75/51.65 (v178(constB175) | (~v180(constB176))),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28075, 11088, 22999])).
% 79.75/51.65 tff(28077,plain,
% 79.75/51.65 (~v180(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28076, 28072])).
% 79.75/51.65 tff(28078,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB176) | (~v181(constB176)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB176) | (~v181(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28079,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB176) | (~v181(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28080,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB176) | (~v181(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 79.75/51.65 tff(28081,plain,
% 79.75/51.65 (~v181(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28080, 11100, 28077])).
% 79.75/51.65 tff(28082,plain,
% 79.75/51.65 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB176)) | (~v184(constB176)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB176)) | (~v184(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28083,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB176)) | (~v184(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28084,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB176)) | (~v184(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28083, 28082])).
% 79.75/51.65 tff(28085,plain,
% 79.75/51.65 (~v184(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28084, 11111, 23019])).
% 79.75/51.65 tff(28086,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB176) | (~v187(constB176)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB176) | (~v187(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28087,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB176) | (~v187(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28088,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB176) | (~v187(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28087, 28086])).
% 79.75/51.65 tff(28089,plain,
% 79.75/51.65 (~v187(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28088, 11122, 28085])).
% 79.75/51.65 tff(28090,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB176) | (~v185(constB176)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB176) | (~v185(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28091,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB176) | (~v185(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28092,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB176) | (~v185(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28091, 28090])).
% 79.75/51.65 tff(28093,plain,
% 79.75/51.65 (~v185(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28092, 11000, 28089])).
% 79.75/51.65 tff(28094,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB176) | v185(constB176) | (~v178(constB176)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB176) | v185(constB176) | (~v178(constB176)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28095,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB176) | v185(constB176) | (~v178(constB176)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28096,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB176) | v185(constB176) | (~v178(constB176))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28095, 28094])).
% 79.75/51.65 tff(28097,plain,
% 79.75/51.65 (v181(constB176) | (~v178(constB176))),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28096, 11073, 28093])).
% 79.75/51.65 tff(28098,plain,
% 79.75/51.65 (~v178(constB176)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28097, 28081])).
% 79.75/51.65 tff(28099,plain,
% 79.75/51.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28100,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28101,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28100, 28099])).
% 79.75/51.65 tff(28102,plain,
% 79.75/51.65 (v178(constB176) | (~v180(constB177))),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28101, 11088, 23061])).
% 79.75/51.65 tff(28103,plain,
% 79.75/51.65 (~v180(constB177)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28102, 28098])).
% 79.75/51.65 tff(28104,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB177) | (~v215(constB177)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB177) | (~v215(constB177)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28105,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB177) | (~v215(constB177)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28106,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB177) | (~v215(constB177))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28105, 28104])).
% 79.75/51.65 tff(28107,plain,
% 79.75/51.65 (~v215(constB177)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28106, 11147, 28103])).
% 79.75/51.65 tff(28108,plain,
% 79.75/51.65 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB177)) | (~v214(constB177)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB177)) | (~v214(constB177)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28109,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB177)) | (~v214(constB177)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28110,plain,
% 79.75/51.65 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB177)) | (~v214(constB177))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28109, 28108])).
% 79.75/51.65 tff(28111,plain,
% 79.75/51.65 (~v214(constB177)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28110, 11189, 27698])).
% 79.75/51.65 tff(28112,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB177) | v215(constB177) | (~v211(constB177)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB177) | v215(constB177) | (~v211(constB177)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28113,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB177) | v215(constB177) | (~v211(constB177)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28114,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB177) | v215(constB177) | (~v211(constB177))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28113, 28112])).
% 79.75/51.65 tff(28115,plain,
% 79.75/51.65 (v215(constB177) | (~v211(constB177))),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28114, 11203, 28111])).
% 79.75/51.65 tff(28116,plain,
% 79.75/51.65 (~v211(constB177)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28115, 28107])).
% 79.75/51.65 tff(28117,plain,
% 79.75/51.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB177, constB178)) | v211(constB177) | (~v213(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB177, constB178)) | v211(constB177) | (~v213(constB178)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28118,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB177, constB178)) | v211(constB177) | (~v213(constB178)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28119,plain,
% 79.75/51.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB177, constB178)) | v211(constB177) | (~v213(constB178))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 79.75/51.65 tff(28120,plain,
% 79.75/51.65 (v211(constB177) | (~v213(constB178))),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28119, 11218, 23178])).
% 79.75/51.65 tff(28121,plain,
% 79.75/51.65 (~v213(constB178)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28120, 28116])).
% 79.75/51.65 tff(28122,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB178) | (~v214(constB178)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB178) | (~v214(constB178)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28123,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB178) | (~v214(constB178)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28124,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB178) | (~v214(constB178))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28123, 28122])).
% 79.75/51.65 tff(28125,plain,
% 79.75/51.65 (~v214(constB178)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28124, 11230, 28121])).
% 79.75/51.65 tff(28126,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB178) | (~v217(constB178)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB178) | (~v217(constB178)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28127,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB178) | (~v217(constB178)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28128,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB178) | (~v217(constB178))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28127, 28126])).
% 79.75/51.65 tff(28129,plain,
% 79.75/51.65 (~v217(constB178)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28128, 11245, 27723])).
% 79.75/51.65 tff(28130,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB178) | (~v216(constB178)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB178) | (~v216(constB178)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28131,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB178) | (~v216(constB178)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28132,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB178) | (~v216(constB178))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 79.75/51.65 tff(28133,plain,
% 79.75/51.65 (~v216(constB178)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28132, 11256, 28129])).
% 79.75/51.65 tff(28134,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB178) | (~v215(constB178)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB178) | (~v215(constB178)))),
% 79.75/51.65 inference(rewrite,[status(thm)],[])).
% 79.75/51.65 tff(28135,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB178) | (~v215(constB178)))),
% 79.75/51.65 inference(quant_inst,[status(thm)],[])).
% 79.75/51.65 tff(28136,plain,
% 79.75/51.65 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB178) | (~v215(constB178))),
% 79.75/51.65 inference(modus_ponens,[status(thm)],[28135, 28134])).
% 79.75/51.65 tff(28137,plain,
% 79.75/51.65 (~v215(constB178)),
% 79.75/51.65 inference(unit_resolution,[status(thm)],[28136, 11267, 28133])).
% 79.75/51.65 tff(28138,plain,
% 79.75/51.65 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB178) | v215(constB178) | (~v211(constB178)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB178) | v215(constB178) | (~v211(constB178)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28139,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB178) | v215(constB178) | (~v211(constB178)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28140,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB178) | v215(constB178) | (~v211(constB178))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28139, 28138])).
% 79.75/51.66 tff(28141,plain,
% 79.75/51.66 (v214(constB178) | (~v211(constB178))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28140, 11203, 28137])).
% 79.75/51.66 tff(28142,plain,
% 79.75/51.66 (~v211(constB178)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28141, 28125])).
% 79.75/51.66 tff(28143,plain,
% 79.75/51.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB178, constB179)) | v211(constB178) | (~v213(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB178, constB179)) | v211(constB178) | (~v213(constB179)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28144,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB178, constB179)) | v211(constB178) | (~v213(constB179)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28145,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB178, constB179)) | v211(constB178) | (~v213(constB179))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 79.75/51.66 tff(28146,plain,
% 79.75/51.66 (v211(constB178) | (~v213(constB179))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28145, 11218, 23297])).
% 79.75/51.66 tff(28147,plain,
% 79.75/51.66 (~v213(constB179)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28146, 28142])).
% 79.75/51.66 tff(28148,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB179) | (~v245(constB179)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB179) | (~v245(constB179)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28149,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB179) | (~v245(constB179)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28150,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB179) | (~v245(constB179))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28149, 28148])).
% 79.75/51.66 tff(28151,plain,
% 79.75/51.66 (~v245(constB179)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28150, 11683, 28147])).
% 79.75/51.66 tff(28152,plain,
% 79.75/51.66 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB179)) | (~v244(constB179)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB179)) | (~v244(constB179)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28153,plain,
% 79.75/51.66 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB179)) | (~v244(constB179)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28154,plain,
% 79.75/51.66 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB179)) | (~v244(constB179))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28153, 28152])).
% 79.75/51.66 tff(28155,plain,
% 79.75/51.66 (~v244(constB179)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28154, 11694, 27776])).
% 79.75/51.66 tff(28156,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB179) | v245(constB179) | (~v241(constB179)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB179) | v245(constB179) | (~v241(constB179)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28157,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB179) | v245(constB179) | (~v241(constB179)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28158,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB179) | v245(constB179) | (~v241(constB179))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28157, 28156])).
% 79.75/51.66 tff(28159,plain,
% 79.75/51.66 (v245(constB179) | (~v241(constB179))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28158, 11708, 28155])).
% 79.75/51.66 tff(28160,plain,
% 79.75/51.66 (~v241(constB179)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28159, 28151])).
% 79.75/51.66 tff(28161,plain,
% 79.75/51.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB179, constB180)) | v241(constB179) | (~v243(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB179, constB180)) | v241(constB179) | (~v243(constB180)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28162,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB179, constB180)) | v241(constB179) | (~v243(constB180)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28163,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB179, constB180)) | v241(constB179) | (~v243(constB180))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28162, 28161])).
% 79.75/51.66 tff(28164,plain,
% 79.75/51.66 (v241(constB179) | (~v243(constB180))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28163, 11723, 23426])).
% 79.75/51.66 tff(28165,plain,
% 79.75/51.66 (~v243(constB180)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28164, 28160])).
% 79.75/51.66 tff(28166,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB180) | (~v244(constB180)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB180) | (~v244(constB180)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28167,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB180) | (~v244(constB180)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28168,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB180) | (~v244(constB180))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28167, 28166])).
% 79.75/51.66 tff(28169,plain,
% 79.75/51.66 (~v244(constB180)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28168, 11735, 28165])).
% 79.75/51.66 tff(28170,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB180) | (~v247(constB180)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB180) | (~v247(constB180)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28171,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB180) | (~v247(constB180)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28172,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB180) | (~v247(constB180))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28171, 28170])).
% 79.75/51.66 tff(28173,plain,
% 79.75/51.66 (~v247(constB180)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28172, 11746, 27798])).
% 79.75/51.66 tff(28174,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB180) | (~v246(constB180)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB180) | (~v246(constB180)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28175,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB180) | (~v246(constB180)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28176,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB180) | (~v246(constB180))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28175, 28174])).
% 79.75/51.66 tff(28177,plain,
% 79.75/51.66 (~v246(constB180)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28176, 11757, 28173])).
% 79.75/51.66 tff(28178,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB180) | (~v245(constB180)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB180) | (~v245(constB180)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28179,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB180) | (~v245(constB180)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28180,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB180) | (~v245(constB180))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28179, 28178])).
% 79.75/51.66 tff(28181,plain,
% 79.75/51.66 (~v245(constB180)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28180, 11768, 28177])).
% 79.75/51.66 tff(28182,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB180) | v245(constB180) | (~v241(constB180)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB180) | v245(constB180) | (~v241(constB180)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28183,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB180) | v245(constB180) | (~v241(constB180)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28184,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB180) | v245(constB180) | (~v241(constB180))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 79.75/51.66 tff(28185,plain,
% 79.75/51.66 (v244(constB180) | (~v241(constB180))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28184, 11708, 28181])).
% 79.75/51.66 tff(28186,plain,
% 79.75/51.66 (~v241(constB180)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28185, 28169])).
% 79.75/51.66 tff(28187,plain,
% 79.75/51.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB180, constB181)) | v241(constB180) | (~v243(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB180, constB181)) | v241(constB180) | (~v243(constB181)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28188,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB180, constB181)) | v241(constB180) | (~v243(constB181)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28189,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB180, constB181)) | v241(constB180) | (~v243(constB181))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28188, 28187])).
% 79.75/51.66 tff(28190,plain,
% 79.75/51.66 (v241(constB180) | (~v243(constB181))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28189, 11723, 23488])).
% 79.75/51.66 tff(28191,plain,
% 79.75/51.66 (~v243(constB181)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28190, 28186])).
% 79.75/51.66 tff(28192,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB181) | (~v260(constB181)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB181) | (~v260(constB181)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28193,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB181) | (~v260(constB181)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28194,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB181) | (~v260(constB181))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28193, 28192])).
% 79.75/51.66 tff(28195,plain,
% 79.75/51.66 (~v260(constB181)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28194, 12130, 28191])).
% 79.75/51.66 tff(28196,plain,
% 79.75/51.66 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB181)) | (~v259(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB181)) | (~v259(constB181)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28197,plain,
% 79.75/51.66 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB181)) | (~v259(constB181)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28198,plain,
% 79.75/51.66 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB181)) | (~v259(constB181))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28197, 28196])).
% 79.75/51.66 tff(28199,plain,
% 79.75/51.66 (~v259(constB181)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28198, 12141, 27438])).
% 79.75/51.66 tff(28200,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB181) | v260(constB181) | (~v256(constB181)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB181) | v260(constB181) | (~v256(constB181)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28201,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB181) | v260(constB181) | (~v256(constB181)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28202,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB181) | v260(constB181) | (~v256(constB181))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28201, 28200])).
% 79.75/51.66 tff(28203,plain,
% 79.75/51.66 (v260(constB181) | (~v256(constB181))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28202, 12155, 28199])).
% 79.75/51.66 tff(28204,plain,
% 79.75/51.66 (~v256(constB181)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28203, 28195])).
% 79.75/51.66 tff(28205,plain,
% 79.75/51.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB181, constB182)) | v256(constB181) | (~v258(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB181, constB182)) | v256(constB181) | (~v258(constB182)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28206,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB181, constB182)) | v256(constB181) | (~v258(constB182)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28207,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB181, constB182)) | v256(constB181) | (~v258(constB182))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28206, 28205])).
% 79.75/51.66 tff(28208,plain,
% 79.75/51.66 (v256(constB181) | (~v258(constB182))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28207, 12170, 23598])).
% 79.75/51.66 tff(28209,plain,
% 79.75/51.66 (~v258(constB182)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28208, 28204])).
% 79.75/51.66 tff(28210,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB182) | (~v259(constB182)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB182) | (~v259(constB182)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28211,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB182) | (~v259(constB182)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28212,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB182) | (~v259(constB182))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28211, 28210])).
% 79.75/51.66 tff(28213,plain,
% 79.75/51.66 (~v259(constB182)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28212, 12182, 28209])).
% 79.75/51.66 tff(28214,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB182) | (~v262(constB182)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB182) | (~v262(constB182)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28215,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB182) | (~v262(constB182)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28216,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB182) | (~v262(constB182))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28215, 28214])).
% 79.75/51.66 tff(28217,plain,
% 79.75/51.66 (~v262(constB182)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28216, 12193, 27463])).
% 79.75/51.66 tff(28218,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB182) | (~v261(constB182)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB182) | (~v261(constB182)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28219,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB182) | (~v261(constB182)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28220,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB182) | (~v261(constB182))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28219, 28218])).
% 79.75/51.66 tff(28221,plain,
% 79.75/51.66 (~v261(constB182)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28220, 12204, 28217])).
% 79.75/51.66 tff(28222,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB182) | (~v260(constB182)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB182) | (~v260(constB182)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28223,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB182) | (~v260(constB182)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28224,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB182) | (~v260(constB182))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28223, 28222])).
% 79.75/51.66 tff(28225,plain,
% 79.75/51.66 (~v260(constB182)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28224, 12215, 28221])).
% 79.75/51.66 tff(28226,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB182) | v260(constB182) | (~v256(constB182)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB182) | v260(constB182) | (~v256(constB182)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28227,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB182) | v260(constB182) | (~v256(constB182)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28228,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB182) | v260(constB182) | (~v256(constB182))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 79.75/51.66 tff(28229,plain,
% 79.75/51.66 (v259(constB182) | (~v256(constB182))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28228, 12155, 28225])).
% 79.75/51.66 tff(28230,plain,
% 79.75/51.66 (~v256(constB182)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28229, 28213])).
% 79.75/51.66 tff(28231,plain,
% 79.75/51.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB182, constB183)) | v256(constB182) | (~v258(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB182, constB183)) | v256(constB182) | (~v258(constB183)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28232,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB182, constB183)) | v256(constB182) | (~v258(constB183)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28233,plain,
% 79.75/51.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB182, constB183)) | v256(constB182) | (~v258(constB183))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28232, 28231])).
% 79.75/51.66 tff(28234,plain,
% 79.75/51.66 (v256(constB182) | (~v258(constB183))),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28233, 12170, 23690])).
% 79.75/51.66 tff(28235,plain,
% 79.75/51.66 (~v258(constB183)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28234, 28230])).
% 79.75/51.66 tff(28236,plain,
% 79.75/51.66 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB183) | (~v271(constB183)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB183) | (~v271(constB183)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28237,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB183) | (~v271(constB183)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28238,plain,
% 79.75/51.66 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB183) | (~v271(constB183))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28237, 28236])).
% 79.75/51.66 tff(28239,plain,
% 79.75/51.66 (~v271(constB183)),
% 79.75/51.66 inference(unit_resolution,[status(thm)],[28238, 12236, 28235])).
% 79.75/51.66 tff(28240,plain,
% 79.75/51.66 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB183)) | (~v270(constB183)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB183)) | (~v270(constB183)))),
% 79.75/51.66 inference(rewrite,[status(thm)],[])).
% 79.75/51.66 tff(28241,plain,
% 79.75/51.66 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB183)) | (~v270(constB183)))),
% 79.75/51.66 inference(quant_inst,[status(thm)],[])).
% 79.75/51.66 tff(28242,plain,
% 79.75/51.66 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB183)) | (~v270(constB183))),
% 79.75/51.66 inference(modus_ponens,[status(thm)],[28241, 28240])).
% 79.75/51.66 tff(28243,plain,
% 79.75/51.67 (~v270(constB183)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28242, 12247, 27516])).
% 79.75/51.67 tff(28244,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB183)) | v270(constB183) | v271(constB183))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB183)) | v270(constB183) | v271(constB183))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28245,plain,
% 79.75/51.67 ((v271(constB183) | v270(constB183) | (~v267(constB183))) <=> ((~v267(constB183)) | v270(constB183) | v271(constB183))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28246,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB183) | v270(constB183) | (~v267(constB183)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB183)) | v270(constB183) | v271(constB183)))),
% 79.75/51.67 inference(monotonicity,[status(thm)],[28245])).
% 79.75/51.67 tff(28247,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB183) | v270(constB183) | (~v267(constB183)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB183)) | v270(constB183) | v271(constB183))),
% 79.75/51.67 inference(transitivity,[status(thm)],[28246, 28244])).
% 79.75/51.67 tff(28248,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB183) | v270(constB183) | (~v267(constB183)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28249,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB183)) | v270(constB183) | v271(constB183)),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 79.75/51.67 tff(28250,plain,
% 79.75/51.67 ((~v267(constB183)) | v271(constB183)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28249, 12261, 28243])).
% 79.75/51.67 tff(28251,plain,
% 79.75/51.67 (~v267(constB183)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28250, 28239])).
% 79.75/51.67 tff(28252,plain,
% 79.75/51.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB183, constB184)) | v267(constB183) | (~v269(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB183, constB184)) | v267(constB183) | (~v269(constB184)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28253,plain,
% 79.75/51.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB183, constB184)) | v267(constB183) | (~v269(constB184)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28254,plain,
% 79.75/51.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB183, constB184)) | v267(constB183) | (~v269(constB184))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28253, 28252])).
% 79.75/51.67 tff(28255,plain,
% 79.75/51.67 (v267(constB183) | (~v269(constB184))),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28254, 12279, 23832])).
% 79.75/51.67 tff(28256,plain,
% 79.75/51.67 (~v269(constB184)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28255, 28251])).
% 79.75/51.67 tff(28257,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB184) | (~v270(constB184)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB184) | (~v270(constB184)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28258,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB184) | (~v270(constB184)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28259,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB184) | (~v270(constB184))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28258, 28257])).
% 79.75/51.67 tff(28260,plain,
% 79.75/51.67 (~v270(constB184)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28259, 12291, 28256])).
% 79.75/51.67 tff(28261,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB184) | (~v271(constB184)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB184) | (~v271(constB184)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28262,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB184) | (~v271(constB184)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28263,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB184) | (~v271(constB184))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28262, 28261])).
% 79.75/51.67 tff(28264,plain,
% 79.75/51.67 (~v271(constB184)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28263, 12310, 27894])).
% 79.75/51.67 tff(28265,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB184)) | v271(constB184) | v270(constB184))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB184)) | v271(constB184) | v270(constB184))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28266,plain,
% 79.75/51.67 ((v271(constB184) | v270(constB184) | (~v267(constB184))) <=> ((~v267(constB184)) | v271(constB184) | v270(constB184))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28267,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB184) | v270(constB184) | (~v267(constB184)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB184)) | v271(constB184) | v270(constB184)))),
% 79.75/51.67 inference(monotonicity,[status(thm)],[28266])).
% 79.75/51.67 tff(28268,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB184) | v270(constB184) | (~v267(constB184)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB184)) | v271(constB184) | v270(constB184))),
% 79.75/51.67 inference(transitivity,[status(thm)],[28267, 28265])).
% 79.75/51.67 tff(28269,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB184) | v270(constB184) | (~v267(constB184)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28270,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB184)) | v271(constB184) | v270(constB184)),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28269, 28268])).
% 79.75/51.67 tff(28271,plain,
% 79.75/51.67 ((~v267(constB184)) | v270(constB184)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28270, 12261, 28264])).
% 79.75/51.67 tff(28272,plain,
% 79.75/51.67 (~v267(constB184)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28271, 28260])).
% 79.75/51.67 tff(28273,plain,
% 79.75/51.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB184, constB185)) | v267(constB184) | (~v269(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB184, constB185)) | v267(constB184) | (~v269(constB185)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28274,plain,
% 79.75/51.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB184, constB185)) | v267(constB184) | (~v269(constB185)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28275,plain,
% 79.75/51.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB184, constB185)) | v267(constB184) | (~v269(constB185))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 79.75/51.67 tff(28276,plain,
% 79.75/51.67 (v267(constB184) | (~v269(constB185))),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28275, 12279, 23897])).
% 79.75/51.67 tff(28277,plain,
% 79.75/51.67 (~v269(constB185)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28276, 28272])).
% 79.75/51.67 tff(28278,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB185) | (~v282(constB185)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB185) | (~v282(constB185)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28279,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB185) | (~v282(constB185)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28280,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB185) | (~v282(constB185))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28279, 28278])).
% 79.75/51.67 tff(28281,plain,
% 79.75/51.67 (~v282(constB185)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28280, 12334, 28277])).
% 79.75/51.67 tff(28282,plain,
% 79.75/51.67 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB185)) | (~v281(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB185)) | (~v281(constB185)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28283,plain,
% 79.75/51.67 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB185)) | (~v281(constB185)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28284,plain,
% 79.75/51.67 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB185)) | (~v281(constB185))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28283, 28282])).
% 79.75/51.67 tff(28285,plain,
% 79.75/51.67 (~v281(constB185)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28284, 12345, 24082])).
% 79.75/51.67 tff(28286,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB185)) | v281(constB185) | v282(constB185))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB185)) | v281(constB185) | v282(constB185))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28287,plain,
% 79.75/51.67 ((v282(constB185) | v281(constB185) | (~v278(constB185))) <=> ((~v278(constB185)) | v281(constB185) | v282(constB185))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28288,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB185) | v281(constB185) | (~v278(constB185)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB185)) | v281(constB185) | v282(constB185)))),
% 79.75/51.67 inference(monotonicity,[status(thm)],[28287])).
% 79.75/51.67 tff(28289,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB185) | v281(constB185) | (~v278(constB185)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB185)) | v281(constB185) | v282(constB185))),
% 79.75/51.67 inference(transitivity,[status(thm)],[28288, 28286])).
% 79.75/51.67 tff(28290,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB185) | v281(constB185) | (~v278(constB185)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28291,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB185)) | v281(constB185) | v282(constB185)),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28290, 28289])).
% 79.75/51.67 tff(28292,plain,
% 79.75/51.67 ((~v278(constB185)) | v282(constB185)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28291, 12359, 28285])).
% 79.75/51.67 tff(28293,plain,
% 79.75/51.67 (~v278(constB185)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28292, 28281])).
% 79.75/51.67 tff(28294,plain,
% 79.75/51.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB185, constB186)) | v278(constB185) | (~v280(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB185, constB186)) | v278(constB185) | (~v280(constB186)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28295,plain,
% 79.75/51.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB185, constB186)) | v278(constB185) | (~v280(constB186)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28296,plain,
% 79.75/51.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB185, constB186)) | v278(constB185) | (~v280(constB186))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28295, 28294])).
% 79.75/51.67 tff(28297,plain,
% 79.75/51.67 (v278(constB185) | (~v280(constB186))),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28296, 12377, 24068])).
% 79.75/51.67 tff(28298,plain,
% 79.75/51.67 (~v280(constB186)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28297, 28293])).
% 79.75/51.67 tff(28299,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB186) | (~v281(constB186)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB186) | (~v281(constB186)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28300,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB186) | (~v281(constB186)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28301,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB186) | (~v281(constB186))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28300, 28299])).
% 79.75/51.67 tff(28302,plain,
% 79.75/51.67 (~v281(constB186)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28301, 12389, 28298])).
% 79.75/51.67 tff(28303,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB186) | (~v217(constB186)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB186) | (~v217(constB186)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28304,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB186) | (~v217(constB186)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28305,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB186) | (~v217(constB186))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 79.75/51.67 tff(28306,plain,
% 79.75/51.67 (~v217(constB186)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28305, 11245, 24107])).
% 79.75/51.67 tff(28307,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB186) | (~v216(constB186)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB186) | (~v216(constB186)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28308,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB186) | (~v216(constB186)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28309,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB186) | (~v216(constB186))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 79.75/51.67 tff(28310,plain,
% 79.75/51.67 (~v216(constB186)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28309, 11256, 28306])).
% 79.75/51.67 tff(28311,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB186) | (~v282(constB186)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB186) | (~v282(constB186)))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28312,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB186) | (~v282(constB186)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28313,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB186) | (~v282(constB186))),
% 79.75/51.67 inference(modus_ponens,[status(thm)],[28312, 28311])).
% 79.75/51.67 tff(28314,plain,
% 79.75/51.67 (~v282(constB186)),
% 79.75/51.67 inference(unit_resolution,[status(thm)],[28313, 12400, 28310])).
% 79.75/51.67 tff(28315,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB186)) | v282(constB186) | v281(constB186))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB186)) | v282(constB186) | v281(constB186))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28316,plain,
% 79.75/51.67 ((v282(constB186) | v281(constB186) | (~v278(constB186))) <=> ((~v278(constB186)) | v282(constB186) | v281(constB186))),
% 79.75/51.67 inference(rewrite,[status(thm)],[])).
% 79.75/51.67 tff(28317,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB186) | v281(constB186) | (~v278(constB186)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB186)) | v282(constB186) | v281(constB186)))),
% 79.75/51.67 inference(monotonicity,[status(thm)],[28316])).
% 79.75/51.67 tff(28318,plain,
% 79.75/51.67 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB186) | v281(constB186) | (~v278(constB186)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB186)) | v282(constB186) | v281(constB186))),
% 79.75/51.67 inference(transitivity,[status(thm)],[28317, 28315])).
% 79.75/51.67 tff(28319,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB186) | v281(constB186) | (~v278(constB186)))),
% 79.75/51.67 inference(quant_inst,[status(thm)],[])).
% 79.75/51.67 tff(28320,plain,
% 79.75/51.67 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB186)) | v282(constB186) | v281(constB186)),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28319, 28318])).
% 79.85/51.68 tff(28321,plain,
% 79.85/51.68 ((~v278(constB186)) | v281(constB186)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28320, 12359, 28314])).
% 79.85/51.68 tff(28322,plain,
% 79.85/51.68 (~v278(constB186)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28321, 28302])).
% 79.85/51.68 tff(28323,plain,
% 79.85/51.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB186, constB187)) | v278(constB186) | (~v280(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB186, constB187)) | v278(constB186) | (~v280(constB187)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28324,plain,
% 79.85/51.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB186, constB187)) | v278(constB186) | (~v280(constB187)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28325,plain,
% 79.85/51.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB186, constB187)) | v278(constB186) | (~v280(constB187))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28324, 28323])).
% 79.85/51.68 tff(28326,plain,
% 79.85/51.68 (v278(constB186) | (~v280(constB187))),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28325, 12377, 24123])).
% 79.85/51.68 tff(28327,plain,
% 79.85/51.68 (~v280(constB187)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28326, 28322])).
% 79.85/51.68 tff(28328,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB187) | (~v309(constB187)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB187) | (~v309(constB187)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28329,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB187) | (~v309(constB187)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28330,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB187) | (~v309(constB187))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28329, 28328])).
% 79.85/51.68 tff(28331,plain,
% 79.85/51.68 (~v309(constB187)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28330, 12424, 28327])).
% 79.85/51.68 tff(28332,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB187) | v309(constB187) | (~v289(constB187)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB187) | v309(constB187) | (~v289(constB187)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28333,plain,
% 79.85/51.68 ((v309(constB187) | (~v289(constB187)) | v288(constB187)) <=> (v288(constB187) | v309(constB187) | (~v289(constB187)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28334,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB187) | (~v289(constB187)) | v288(constB187))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB187) | v309(constB187) | (~v289(constB187))))),
% 79.85/51.68 inference(monotonicity,[status(thm)],[28333])).
% 79.85/51.68 tff(28335,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB187) | (~v289(constB187)) | v288(constB187))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB187) | v309(constB187) | (~v289(constB187)))),
% 79.85/51.68 inference(transitivity,[status(thm)],[28334, 28332])).
% 79.85/51.68 tff(28336,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB187) | (~v289(constB187)) | v288(constB187))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28337,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB187) | v309(constB187) | (~v289(constB187))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28336, 28335])).
% 79.85/51.68 tff(28338,plain,
% 79.85/51.68 (v288(constB187) | (~v289(constB187))),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28337, 12438, 28331])).
% 79.85/51.68 tff(28339,plain,
% 79.85/51.68 (v288(constB187)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28338, 27967])).
% 79.85/51.68 tff(28340,plain,
% 79.85/51.68 ($false),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28339, 27271])).
% 79.85/51.68 tff(28341,plain,((~(constB187 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 79.85/51.68 tff(28342,plain,
% 79.85/51.68 (~(constB187 = sK0_VarCurr)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28341, 1])).
% 79.85/51.68 tff(28343,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 79.85/51.68 tff(28344,plain,
% 79.85/51.68 (v288(constB103) <=> v288(sK0_VarCurr)),
% 79.85/51.68 inference(monotonicity,[status(thm)],[28343])).
% 79.85/51.68 tff(28345,plain,
% 79.85/51.68 (v288(sK0_VarCurr) <=> v288(constB103)),
% 79.85/51.68 inference(symmetry,[status(thm)],[28344])).
% 79.85/51.68 tff(28346,plain,
% 79.85/51.68 ((~v288(sK0_VarCurr)) <=> (~v288(constB103))),
% 79.85/51.68 inference(monotonicity,[status(thm)],[28345])).
% 79.85/51.68 tff(28347,plain,
% 79.85/51.68 (~v288(constB103)),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[1, 28346])).
% 79.85/51.68 tff(28348,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB103, bitIndex2) | (~v88(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB103, bitIndex2) | (~v88(constB103, bitIndex2)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28349,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB103, bitIndex2) | (~v88(constB103, bitIndex2)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28350,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB103, bitIndex2) | (~v88(constB103, bitIndex2))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 79.85/51.68 tff(28351,plain,
% 79.85/51.68 (~v88(constB103, bitIndex2)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28350, 11467, 13055])).
% 79.85/51.68 tff(28352,plain,
% 79.85/51.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB103, bitIndex1)) | v88(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB103, bitIndex1)) | v88(constB103, bitIndex1))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28353,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB103, bitIndex1)) | v88(constB103, bitIndex1))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28354,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB103, bitIndex1)) | v88(constB103, bitIndex1)),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28353, 28352])).
% 79.85/51.68 tff(28355,plain,
% 79.85/51.68 (v88(constB103, bitIndex1)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28354, 10690, 13086])).
% 79.85/51.68 tff(28356,plain,
% 79.85/51.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB103, bitIndex0)) | v88(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB103, bitIndex0)) | v88(constB103, bitIndex0))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28357,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB103, bitIndex0)) | v88(constB103, bitIndex0))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28358,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB103, bitIndex0)) | v88(constB103, bitIndex0)),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28357, 28356])).
% 79.85/51.68 tff(28359,plain,
% 79.85/51.68 (v88(constB103, bitIndex0)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28358, 11313, 13017])).
% 79.85/51.68 tff(28360,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)) | v141(constB103))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)) | v141(constB103))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28361,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)) | v141(constB103))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28362,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)) | v141(constB103)),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28361, 28360])).
% 79.85/51.68 tff(28363,plain,
% 79.85/51.68 (v141(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28362, 11485, 28359, 28355, 28351])).
% 79.85/51.68 tff(28364,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB103) | (~v141(constB103)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB103) | (~v141(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28365,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB103) | (~v141(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28366,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB103) | (~v141(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28365, 28364])).
% 79.85/51.68 tff(28367,plain,
% 79.85/51.68 (v228(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28366, 11500, 28363])).
% 79.85/51.68 tff(28368,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB103) | (~v228(constB103)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB103) | (~v228(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28369,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB103) | (~v228(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28370,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB103) | (~v228(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28369, 28368])).
% 79.85/51.68 tff(28371,plain,
% 79.85/51.68 (v227(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28370, 11511, 28367])).
% 79.85/51.68 tff(28372,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB103) | (~v227(constB103)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB103) | (~v227(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28373,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB103) | (~v227(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28374,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB103) | (~v227(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28373, 28372])).
% 79.85/51.68 tff(28375,plain,
% 79.85/51.68 (v226(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28374, 10817, 28371])).
% 79.85/51.68 tff(28376,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | (v200(constB103) | (~v141(constB103)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | v200(constB103) | (~v141(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28377,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | (v200(constB103) | (~v141(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28378,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v200(VarCurr) | (~v141(VarCurr)))) | v200(constB103) | (~v141(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28377, 28376])).
% 79.85/51.68 tff(28379,plain,
% 79.85/51.68 (v200(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28378, 27278, 28363])).
% 79.85/51.68 tff(28380,plain,
% 79.85/51.68 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | (v193(constB103) | (~v200(constB103)) | (~v226(constB103)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB103) | (~v200(constB103)) | (~v226(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28381,plain,
% 79.85/51.68 (((~v226(constB103)) | (~v200(constB103)) | v193(constB103)) <=> (v193(constB103) | (~v200(constB103)) | (~v226(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28382,plain,
% 79.85/51.68 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB103)) | (~v200(constB103)) | v193(constB103))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | (v193(constB103) | (~v200(constB103)) | (~v226(constB103))))),
% 79.85/51.68 inference(monotonicity,[status(thm)],[28381])).
% 79.85/51.68 tff(28383,plain,
% 79.85/51.68 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB103)) | (~v200(constB103)) | v193(constB103))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB103) | (~v200(constB103)) | (~v226(constB103)))),
% 79.85/51.68 inference(transitivity,[status(thm)],[28382, 28380])).
% 79.85/51.68 tff(28384,plain,
% 79.85/51.68 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB103)) | (~v200(constB103)) | v193(constB103))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28385,plain,
% 79.85/51.68 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB103) | (~v200(constB103)) | (~v226(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28384, 28383])).
% 79.85/51.68 tff(28386,plain,
% 79.85/51.68 (v193(constB103) | (~v226(constB103))),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28385, 27292, 28379])).
% 79.85/51.68 tff(28387,plain,
% 79.85/51.68 (v193(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28386, 28375])).
% 79.85/51.68 tff(28388,plain,
% 79.85/51.68 (((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | ((~v193(constB103)) | (~v299(constB103)))) <=> ((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | (~v193(constB103)) | (~v299(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28389,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | ((~v193(constB103)) | (~v299(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28390,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | (~v193(constB103)) | (~v299(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 79.85/51.68 tff(28391,plain,
% 79.85/51.68 (~v299(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28390, 27307, 28387])).
% 79.85/51.68 tff(28392,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB103) | (~v298(constB103)))) <=> ((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB103) | (~v298(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28393,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB103) | (~v298(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28394,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB103) | (~v298(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28393, 28392])).
% 79.85/51.68 tff(28395,plain,
% 79.85/51.68 (~v298(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28394, 27318, 28391])).
% 79.85/51.68 tff(28396,plain,
% 79.85/51.68 (((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB103) | (~v297(constB103)))) <=> ((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB103) | (~v297(constB103)))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28397,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB103) | (~v297(constB103)))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28398,plain,
% 79.85/51.68 ((~![VarCurr: $i] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB103) | (~v297(constB103))),
% 79.85/51.68 inference(modus_ponens,[status(thm)],[28397, 28396])).
% 79.85/51.68 tff(28399,plain,
% 79.85/51.68 (~v297(constB103)),
% 79.85/51.68 inference(unit_resolution,[status(thm)],[28398, 27329, 28395])).
% 79.85/51.68 tff(28400,plain,
% 79.85/51.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 79.85/51.68 inference(rewrite,[status(thm)],[])).
% 79.85/51.68 tff(28401,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 79.85/51.68 inference(quant_inst,[status(thm)],[])).
% 79.85/51.68 tff(28402,plain,
% 79.85/51.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1)),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28401, 28400])).
% 79.85/51.69 tff(28403,plain,
% 79.85/51.69 (v88(constB101, bitIndex1)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28402, 10690, 12847])).
% 79.85/51.69 tff(28404,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28405,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28406,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28405, 28404])).
% 79.85/51.69 tff(28407,plain,
% 79.85/51.69 (~v88(constB101, bitIndex2)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28406, 11467, 12881])).
% 79.85/51.69 tff(28408,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28409,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28410,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28409, 28408])).
% 79.85/51.69 tff(28411,plain,
% 79.85/51.69 (~v88(constB101, bitIndex0)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28410, 10755, 12890])).
% 79.85/51.69 tff(28412,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28413,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28414,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101)),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28413, 28412])).
% 79.85/51.69 tff(28415,plain,
% 79.85/51.69 (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28414, 19614, 28411])).
% 79.85/51.69 tff(28416,plain,
% 79.85/51.69 (v143(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28415, 28407, 28403])).
% 79.85/51.69 tff(28417,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB101) | (~v143(constB101)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB101) | (~v143(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28418,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB101) | (~v143(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28419,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB101) | (~v143(constB101))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28418, 28417])).
% 79.85/51.69 tff(28420,plain,
% 79.85/51.69 (v142(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28419, 19629, 28416])).
% 79.85/51.69 tff(28421,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB101) | (~v142(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28422,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB101) | (~v142(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28423,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB101) | (~v142(constB101))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28422, 28421])).
% 79.85/51.69 tff(28424,plain,
% 79.85/51.69 (v227(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28423, 10806, 28420])).
% 79.85/51.69 tff(28425,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB101) | (~v227(constB101)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB101) | (~v227(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28426,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB101) | (~v227(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28427,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB101) | (~v227(constB101))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28426, 28425])).
% 79.85/51.69 tff(28428,plain,
% 79.85/51.69 (v226(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28427, 10817, 28424])).
% 79.85/51.69 tff(28429,plain,
% 79.85/51.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB101)) | (~v88(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB101)) | (~v88(constB101, bitIndex1)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28430,plain,
% 79.85/51.69 (((~v88(constB101, bitIndex1)) | (~v139(constB101))) <=> ((~v139(constB101)) | (~v88(constB101, bitIndex1)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28431,plain,
% 79.85/51.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v139(constB101)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB101)) | (~v88(constB101, bitIndex1))))),
% 79.85/51.69 inference(monotonicity,[status(thm)],[28430])).
% 79.85/51.69 tff(28432,plain,
% 79.85/51.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v139(constB101)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB101)) | (~v88(constB101, bitIndex1)))),
% 79.85/51.69 inference(transitivity,[status(thm)],[28431, 28429])).
% 79.85/51.69 tff(28433,plain,
% 79.85/51.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v139(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28434,plain,
% 79.85/51.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB101)) | (~v88(constB101, bitIndex1))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28433, 28432])).
% 79.85/51.69 tff(28435,plain,
% 79.85/51.69 (~v139(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28434, 11863, 28403])).
% 79.85/51.69 tff(28436,plain,
% 79.85/51.69 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v140(VarCurr))))),
% 79.85/51.69 inference(bind,[status(th)],[])).
% 79.85/51.69 tff(28437,plain,
% 79.85/51.69 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 79.85/51.69 inference(quant_intro,[status(thm)],[28436])).
% 79.85/51.69 tff(28438,plain,
% 79.85/51.69 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28439,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 79.85/51.69 tff(28440,plain,
% 79.85/51.69 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28439, 28438])).
% 79.85/51.69 tff(28441,plain,(
% 79.85/51.69 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 79.85/51.69 inference(skolemize,[status(sab)],[28440])).
% 79.85/51.69 tff(28442,plain,
% 79.85/51.69 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28441, 28437])).
% 79.85/51.69 tff(28443,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | ((~v140(constB101)) | v88(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB101)) | v88(constB101, bitIndex0))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28444,plain,
% 79.85/51.69 ((v88(constB101, bitIndex0) | (~v140(constB101))) <=> ((~v140(constB101)) | v88(constB101, bitIndex0))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28445,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB101, bitIndex0) | (~v140(constB101)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | ((~v140(constB101)) | v88(constB101, bitIndex0)))),
% 79.85/51.69 inference(monotonicity,[status(thm)],[28444])).
% 79.85/51.69 tff(28446,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB101, bitIndex0) | (~v140(constB101)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB101)) | v88(constB101, bitIndex0))),
% 79.85/51.69 inference(transitivity,[status(thm)],[28445, 28443])).
% 79.85/51.69 tff(28447,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB101, bitIndex0) | (~v140(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28448,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB101)) | v88(constB101, bitIndex0)),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 79.85/51.69 tff(28449,plain,
% 79.85/51.69 (~v140(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28448, 28442, 28411])).
% 79.85/51.69 tff(28450,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB101)) | v140(constB101) | v139(constB101))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB101)) | v140(constB101) | v139(constB101))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28451,plain,
% 79.85/51.69 ((v140(constB101) | v139(constB101) | (~v168(constB101))) <=> ((~v168(constB101)) | v140(constB101) | v139(constB101))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28452,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v168(constB101)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB101)) | v140(constB101) | v139(constB101)))),
% 79.85/51.69 inference(monotonicity,[status(thm)],[28451])).
% 79.85/51.69 tff(28453,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v168(constB101)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB101)) | v140(constB101) | v139(constB101))),
% 79.85/51.69 inference(transitivity,[status(thm)],[28452, 28450])).
% 79.85/51.69 tff(28454,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v168(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28455,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB101)) | v140(constB101) | v139(constB101)),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 79.85/51.69 tff(28456,plain,
% 79.85/51.69 ((~v168(constB101)) | v139(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28455, 10907, 28449])).
% 79.85/51.69 tff(28457,plain,
% 79.85/51.69 (~v168(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28456, 28435])).
% 79.85/51.69 tff(28458,plain,
% 79.85/51.69 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB101)) | v168(constB101) | (~v226(constB101)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v226(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28459,plain,
% 79.85/51.69 ((v168(constB101) | (~v226(constB101)) | (~v161(constB101))) <=> ((~v161(constB101)) | v168(constB101) | (~v226(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28460,plain,
% 79.85/51.69 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB101) | (~v226(constB101)) | (~v161(constB101)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB101)) | v168(constB101) | (~v226(constB101))))),
% 79.85/51.69 inference(monotonicity,[status(thm)],[28459])).
% 79.85/51.69 tff(28461,plain,
% 79.85/51.69 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB101) | (~v226(constB101)) | (~v161(constB101)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v226(constB101)))),
% 79.85/51.69 inference(transitivity,[status(thm)],[28460, 28458])).
% 79.85/51.69 tff(28462,plain,
% 79.85/51.69 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB101) | (~v226(constB101)) | (~v161(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28463,plain,
% 79.85/51.69 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v226(constB101))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28462, 28461])).
% 79.85/51.69 tff(28464,plain,
% 79.85/51.69 ((~v161(constB101)) | (~v226(constB101))),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28463, 10975, 28457])).
% 79.85/51.69 tff(28465,plain,
% 79.85/51.69 (~v161(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28464, 28428])).
% 79.85/51.69 tff(28466,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB101) | (~v187(constB101)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB101) | (~v187(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28467,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB101) | (~v187(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28468,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB101) | (~v187(constB101))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28467, 28466])).
% 79.85/51.69 tff(28469,plain,
% 79.85/51.69 (~v187(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28468, 10989, 28465])).
% 79.85/51.69 tff(28470,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28471,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28472,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 79.85/51.69 tff(28473,plain,
% 79.85/51.69 (~v185(constB101)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28472, 11000, 28469])).
% 79.85/51.69 tff(28474,assumption,(v18(constB102)), introduced(assumption)).
% 79.85/51.69 tff(28475,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28476,plain,
% 79.85/51.69 ($false),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28475, 70, 28474])).
% 79.85/51.69 tff(28477,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 79.85/51.69 tff(28478,plain,
% 79.85/51.69 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 79.85/51.69 inference(rewrite,[status(thm)],[])).
% 79.85/51.69 tff(28479,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 79.85/51.69 inference(quant_inst,[status(thm)],[])).
% 79.85/51.69 tff(28480,plain,
% 79.85/51.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 79.85/51.69 inference(modus_ponens,[status(thm)],[28479, 28478])).
% 79.85/51.69 tff(28481,plain,
% 79.85/51.69 (v22(constB102)),
% 79.85/51.69 inference(unit_resolution,[status(thm)],[28480, 83, 12954])).
% 79.85/51.69 tff(28482,plain,
% 79.85/51.69 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 79.87/51.69 inference(rewrite,[status(thm)],[])).
% 79.87/51.69 tff(28483,plain,
% 79.87/51.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 79.87/51.69 inference(quant_inst,[status(thm)],[])).
% 79.87/51.69 tff(28484,plain,
% 79.87/51.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 79.87/51.69 inference(modus_ponens,[status(thm)],[28483, 28482])).
% 79.87/51.69 tff(28485,plain,
% 79.87/51.69 ((~v19(constB102)) | v18(constB102)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28484, 97, 28481])).
% 79.87/51.69 tff(28486,plain,
% 79.87/51.69 (~v19(constB102)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28485, 28477])).
% 79.87/51.69 tff(28487,plain,
% 79.87/51.69 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 79.87/51.69 inference(rewrite,[status(thm)],[])).
% 79.87/51.69 tff(28488,plain,
% 79.87/51.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 79.87/51.69 inference(quant_inst,[status(thm)],[])).
% 79.87/51.69 tff(28489,plain,
% 79.87/51.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 79.87/51.69 inference(modus_ponens,[status(thm)],[28488, 28487])).
% 79.87/51.69 tff(28490,plain,
% 79.87/51.69 (v13(constB102)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28489, 112, 28486])).
% 79.87/51.69 tff(28491,plain,
% 79.87/51.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 79.87/51.69 inference(rewrite,[status(thm)],[])).
% 79.87/51.69 tff(28492,plain,
% 79.87/51.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 79.87/51.69 inference(quant_inst,[status(thm)],[])).
% 79.87/51.69 tff(28493,plain,
% 79.87/51.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 79.87/51.69 inference(modus_ponens,[status(thm)],[28492, 28491])).
% 79.87/51.69 tff(28494,plain,
% 79.87/51.69 ((~v13(constB102)) | v9(constB101)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28493, 129, 12934])).
% 79.87/51.69 tff(28495,plain,
% 79.87/51.69 (v9(constB101)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28494, 28490])).
% 79.87/51.69 tff(28496,plain,
% 79.87/51.69 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 79.87/51.69 inference(rewrite,[status(thm)],[])).
% 79.87/51.69 tff(28497,plain,
% 79.87/51.69 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 79.87/51.69 inference(quant_inst,[status(thm)],[])).
% 79.87/51.69 tff(28498,plain,
% 79.87/51.69 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101)),
% 79.87/51.69 inference(modus_ponens,[status(thm)],[28497, 28496])).
% 79.87/51.69 tff(28499,plain,
% 79.87/51.69 ((~v9(constB101)) | v184(constB101)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28498, 11036, 12823])).
% 79.87/51.69 tff(28500,plain,
% 79.87/51.69 (v184(constB101)),
% 79.87/51.69 inference(unit_resolution,[status(thm)],[28499, 28495])).
% 79.87/51.69 tff(28501,plain,
% 79.87/51.69 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB101) | (~v184(constB101)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB101) | (~v184(constB101)))),
% 79.87/51.69 inference(rewrite,[status(thm)],[])).
% 79.87/51.69 tff(28502,plain,
% 79.87/51.69 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB101) | (~v184(constB101)))),
% 79.87/51.69 inference(quant_inst,[status(thm)],[])).
% 79.87/51.69 tff(28503,plain,
% 79.87/51.69 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB101) | (~v184(constB101))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28502, 28501])).
% 79.87/51.70 tff(28504,plain,
% 79.87/51.70 (v183(constB101)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28503, 11048, 28500])).
% 79.87/51.70 tff(28505,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB101)) | (~v183(constB101)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28506,plain,
% 79.87/51.70 (((~v183(constB101)) | (~v181(constB101))) <=> ((~v181(constB101)) | (~v183(constB101)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28507,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB101)) | (~v181(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101))))),
% 79.87/51.70 inference(monotonicity,[status(thm)],[28506])).
% 79.87/51.70 tff(28508,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB101)) | (~v181(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB101)) | (~v183(constB101)))),
% 79.87/51.70 inference(transitivity,[status(thm)],[28507, 28505])).
% 79.87/51.70 tff(28509,plain,
% 79.87/51.70 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB101)) | (~v181(constB101)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28510,plain,
% 79.87/51.70 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB101)) | (~v183(constB101))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 79.87/51.70 tff(28511,plain,
% 79.87/51.70 (~v181(constB101)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28510, 11059, 28504])).
% 79.87/51.70 tff(28512,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28513,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28514,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28513, 28512])).
% 79.87/51.70 tff(28515,plain,
% 79.87/51.70 (v185(constB101) | (~v178(constB101))),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28514, 11073, 28511])).
% 79.87/51.70 tff(28516,plain,
% 79.87/51.70 (~v178(constB101)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28515, 28473])).
% 79.87/51.70 tff(28517,plain,
% 79.87/51.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28518,plain,
% 79.87/51.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28519,plain,
% 79.87/51.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28518, 28517])).
% 79.87/51.70 tff(28520,plain,
% 79.87/51.70 (v178(constB101) | (~v180(constB102))),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28519, 11088, 12934])).
% 79.87/51.70 tff(28521,plain,
% 79.87/51.70 (~v180(constB102)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28520, 28516])).
% 79.87/51.70 tff(28522,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28523,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28524,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 79.87/51.70 tff(28525,plain,
% 79.87/51.70 (~v181(constB102)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28524, 11100, 28521])).
% 79.87/51.70 tff(28526,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28527,plain,
% 79.87/51.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28528,plain,
% 79.87/51.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 79.87/51.70 tff(28529,plain,
% 79.87/51.70 (~v184(constB102)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28528, 11111, 12954])).
% 79.87/51.70 tff(28530,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28531,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28532,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 79.87/51.70 tff(28533,plain,
% 79.87/51.70 (~v187(constB102)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28532, 11122, 28529])).
% 79.87/51.70 tff(28534,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28535,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28536,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28535, 28534])).
% 79.87/51.70 tff(28537,plain,
% 79.87/51.70 (~v185(constB102)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28536, 11000, 28533])).
% 79.87/51.70 tff(28538,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28539,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28540,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28539, 28538])).
% 79.87/51.70 tff(28541,plain,
% 79.87/51.70 (v181(constB102) | (~v178(constB102))),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28540, 11073, 28537])).
% 79.87/51.70 tff(28542,plain,
% 79.87/51.70 (~v178(constB102)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28541, 28525])).
% 79.87/51.70 tff(28543,plain,
% 79.87/51.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28544,plain,
% 79.87/51.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28545,plain,
% 79.87/51.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28544, 28543])).
% 79.87/51.70 tff(28546,plain,
% 79.87/51.70 (v178(constB102) | (~v180(constB103))),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28545, 11088, 12996])).
% 79.87/51.70 tff(28547,plain,
% 79.87/51.70 (~v180(constB103)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28546, 28542])).
% 79.87/51.70 tff(28548,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB103) | (~v293(constB103)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB103) | (~v293(constB103)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28549,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB103) | (~v293(constB103)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28550,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB103) | (~v293(constB103))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28549, 28548])).
% 79.87/51.70 tff(28551,plain,
% 79.87/51.70 (~v293(constB103)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28550, 11437, 28547])).
% 79.87/51.70 tff(28552,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB103) | v297(constB103) | (~v292(constB103)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB103) | v297(constB103) | (~v292(constB103)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28553,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB103) | v297(constB103) | (~v292(constB103)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28554,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB103) | v297(constB103) | (~v292(constB103))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28553, 28552])).
% 79.87/51.70 tff(28555,plain,
% 79.87/51.70 (v297(constB103) | (~v292(constB103))),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28554, 11451, 28551])).
% 79.87/51.70 tff(28556,plain,
% 79.87/51.70 (~v292(constB103)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28555, 28399])).
% 79.87/51.70 tff(28557,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB97)) | (~v88(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB97)) | (~v88(constB97, bitIndex1)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28558,plain,
% 79.87/51.70 (((~v88(constB97, bitIndex1)) | (~v139(constB97))) <=> ((~v139(constB97)) | (~v88(constB97, bitIndex1)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28559,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v139(constB97)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB97)) | (~v88(constB97, bitIndex1))))),
% 79.87/51.70 inference(monotonicity,[status(thm)],[28558])).
% 79.87/51.70 tff(28560,plain,
% 79.87/51.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v139(constB97)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB97)) | (~v88(constB97, bitIndex1)))),
% 79.87/51.70 inference(transitivity,[status(thm)],[28559, 28557])).
% 79.87/51.70 tff(28561,plain,
% 79.87/51.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v139(constB97)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28562,plain,
% 79.87/51.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB97)) | (~v88(constB97, bitIndex1))),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28561, 28560])).
% 79.87/51.70 tff(28563,plain,
% 79.87/51.70 (~v139(constB97)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28562, 11863, 10694])).
% 79.87/51.70 tff(28564,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | ((~v140(constB97)) | v88(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB97)) | v88(constB97, bitIndex0))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28565,plain,
% 79.87/51.70 ((v88(constB97, bitIndex0) | (~v140(constB97))) <=> ((~v140(constB97)) | v88(constB97, bitIndex0))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28566,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB97, bitIndex0) | (~v140(constB97)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | ((~v140(constB97)) | v88(constB97, bitIndex0)))),
% 79.87/51.70 inference(monotonicity,[status(thm)],[28565])).
% 79.87/51.70 tff(28567,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB97, bitIndex0) | (~v140(constB97)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB97)) | v88(constB97, bitIndex0))),
% 79.87/51.70 inference(transitivity,[status(thm)],[28566, 28564])).
% 79.87/51.70 tff(28568,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB97, bitIndex0) | (~v140(constB97)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28569,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB97)) | v88(constB97, bitIndex0)),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 79.87/51.70 tff(28570,plain,
% 79.87/51.70 (~v140(constB97)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28569, 28442, 10759])).
% 79.87/51.70 tff(28571,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB97)) | v140(constB97) | v139(constB97))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB97)) | v140(constB97) | v139(constB97))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28572,plain,
% 79.87/51.70 ((v140(constB97) | v139(constB97) | (~v168(constB97))) <=> ((~v168(constB97)) | v140(constB97) | v139(constB97))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28573,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB97)) | v140(constB97) | v139(constB97)))),
% 79.87/51.70 inference(monotonicity,[status(thm)],[28572])).
% 79.87/51.70 tff(28574,plain,
% 79.87/51.70 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB97)) | v140(constB97) | v139(constB97))),
% 79.87/51.70 inference(transitivity,[status(thm)],[28573, 28571])).
% 79.87/51.70 tff(28575,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))),
% 79.87/51.70 inference(quant_inst,[status(thm)],[])).
% 79.87/51.70 tff(28576,plain,
% 79.87/51.70 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB97)) | v140(constB97) | v139(constB97)),
% 79.87/51.70 inference(modus_ponens,[status(thm)],[28575, 28574])).
% 79.87/51.70 tff(28577,plain,
% 79.87/51.70 ((~v168(constB97)) | v139(constB97)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28576, 10907, 28570])).
% 79.87/51.70 tff(28578,plain,
% 79.87/51.70 (~v168(constB97)),
% 79.87/51.70 inference(unit_resolution,[status(thm)],[28577, 28563])).
% 79.87/51.70 tff(28579,plain,
% 79.87/51.70 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB97)) | v168(constB97) | (~v226(constB97)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB97)) | v168(constB97) | (~v226(constB97)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28580,plain,
% 79.87/51.70 ((v168(constB97) | (~v226(constB97)) | (~v161(constB97))) <=> ((~v161(constB97)) | v168(constB97) | (~v226(constB97)))),
% 79.87/51.70 inference(rewrite,[status(thm)],[])).
% 79.87/51.70 tff(28581,plain,
% 79.87/51.70 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB97) | (~v226(constB97)) | (~v161(constB97)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB97)) | v168(constB97) | (~v226(constB97))))),
% 79.87/51.71 inference(monotonicity,[status(thm)],[28580])).
% 79.87/51.71 tff(28582,plain,
% 79.87/51.71 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB97) | (~v226(constB97)) | (~v161(constB97)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB97)) | v168(constB97) | (~v226(constB97)))),
% 79.87/51.71 inference(transitivity,[status(thm)],[28581, 28579])).
% 79.87/51.71 tff(28583,plain,
% 79.87/51.71 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB97) | (~v226(constB97)) | (~v161(constB97)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28584,plain,
% 79.87/51.71 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB97)) | v168(constB97) | (~v226(constB97))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 79.87/51.71 tff(28585,plain,
% 79.87/51.71 ((~v161(constB97)) | (~v226(constB97))),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28584, 10975, 28578])).
% 79.87/51.71 tff(28586,plain,
% 79.87/51.71 (~v161(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28585, 10821])).
% 79.87/51.71 tff(28587,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB97) | (~v187(constB97)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB97) | (~v187(constB97)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28588,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB97) | (~v187(constB97)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28589,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB97) | (~v187(constB97))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28588, 28587])).
% 79.87/51.71 tff(28590,plain,
% 79.87/51.71 (~v187(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28589, 10989, 28586])).
% 79.87/51.71 tff(28591,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28592,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28593,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 79.87/51.71 tff(28594,plain,
% 79.87/51.71 (~v185(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28593, 11000, 28590])).
% 79.87/51.71 tff(28595,assumption,(v18(constB98)), introduced(assumption)).
% 79.87/51.71 tff(28596,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB98))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28597,plain,
% 79.87/51.71 ($false),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28596, 70, 28595])).
% 79.87/51.71 tff(28598,plain,(~v18(constB98)), inference(lemma,lemma(discharge,[]))).
% 79.87/51.71 tff(28599,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28600,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28601,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 79.87/51.71 tff(28602,plain,
% 79.87/51.71 (v22(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28601, 83, 12502])).
% 79.87/51.71 tff(28603,plain,
% 79.87/51.71 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB98)) | (~v22(constB98)) | v18(constB98))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB98)) | (~v22(constB98)) | v18(constB98))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28604,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB98)) | (~v22(constB98)) | v18(constB98))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28605,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB98)) | (~v22(constB98)) | v18(constB98)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 79.87/51.71 tff(28606,plain,
% 79.87/51.71 ((~v19(constB98)) | v18(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28605, 97, 28602])).
% 79.87/51.71 tff(28607,plain,
% 79.87/51.71 (~v19(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28606, 28598])).
% 79.87/51.71 tff(28608,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28609,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28610,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28609, 28608])).
% 79.87/51.71 tff(28611,plain,
% 79.87/51.71 (v13(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28610, 112, 28607])).
% 79.87/51.71 tff(28612,plain,
% 79.87/51.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28613,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28614,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28613, 28612])).
% 79.87/51.71 tff(28615,plain,
% 79.87/51.71 ((~v13(constB98)) | v9(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28614, 129, 12482])).
% 79.87/51.71 tff(28616,plain,
% 79.87/51.71 (v9(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28615, 28611])).
% 79.87/51.71 tff(28617,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28618,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28619,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28618, 28617])).
% 79.87/51.71 tff(28620,plain,
% 79.87/51.71 ((~v9(constB97)) | v184(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28619, 11036, 10656])).
% 79.87/51.71 tff(28621,plain,
% 79.87/51.71 (v184(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28620, 28616])).
% 79.87/51.71 tff(28622,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB97) | (~v184(constB97)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB97) | (~v184(constB97)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28623,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB97) | (~v184(constB97)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28624,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB97) | (~v184(constB97))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28623, 28622])).
% 79.87/51.71 tff(28625,plain,
% 79.87/51.71 (v183(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28624, 11048, 28621])).
% 79.87/51.71 tff(28626,plain,
% 79.87/51.71 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB97)) | (~v181(constB97)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB97)) | (~v181(constB97)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28627,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB97)) | (~v181(constB97)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28628,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB97)) | (~v181(constB97))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28627, 28626])).
% 79.87/51.71 tff(28629,plain,
% 79.87/51.71 (~v181(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28628, 11059, 28625])).
% 79.87/51.71 tff(28630,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28631,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28632,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28631, 28630])).
% 79.87/51.71 tff(28633,plain,
% 79.87/51.71 (v185(constB97) | (~v178(constB97))),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28632, 11073, 28629])).
% 79.87/51.71 tff(28634,plain,
% 79.87/51.71 (~v178(constB97)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28633, 28594])).
% 79.87/51.71 tff(28635,plain,
% 79.87/51.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28636,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28637,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 79.87/51.71 tff(28638,plain,
% 79.87/51.71 (v178(constB97) | (~v180(constB98))),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28637, 11088, 12482])).
% 79.87/51.71 tff(28639,plain,
% 79.87/51.71 (~v180(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28638, 28634])).
% 79.87/51.71 tff(28640,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28641,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28642,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28641, 28640])).
% 79.87/51.71 tff(28643,plain,
% 79.87/51.71 (~v181(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28642, 11100, 28639])).
% 79.87/51.71 tff(28644,plain,
% 79.87/51.71 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28645,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28646,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28645, 28644])).
% 79.87/51.71 tff(28647,plain,
% 79.87/51.71 (~v184(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28646, 11111, 12502])).
% 79.87/51.71 tff(28648,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28649,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28650,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28649, 28648])).
% 79.87/51.71 tff(28651,plain,
% 79.87/51.71 (~v187(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28650, 11122, 28647])).
% 79.87/51.71 tff(28652,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28653,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28654,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 79.87/51.71 tff(28655,plain,
% 79.87/51.71 (~v185(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28654, 11000, 28651])).
% 79.87/51.71 tff(28656,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28657,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28658,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28657, 28656])).
% 79.87/51.71 tff(28659,plain,
% 79.87/51.71 (v181(constB98) | (~v178(constB98))),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28658, 11073, 28655])).
% 79.87/51.71 tff(28660,plain,
% 79.87/51.71 (~v178(constB98)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28659, 28643])).
% 79.87/51.71 tff(28661,plain,
% 79.87/51.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28662,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28663,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 79.87/51.71 tff(28664,plain,
% 79.87/51.71 (v178(constB98) | (~v180(constB99))),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28663, 11088, 12575])).
% 79.87/51.71 tff(28665,plain,
% 79.87/51.71 (~v180(constB99)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28664, 28660])).
% 79.87/51.71 tff(28666,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB99) | (~v215(constB99)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB99) | (~v215(constB99)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28667,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB99) | (~v215(constB99)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28668,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB99) | (~v215(constB99))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 79.87/51.71 tff(28669,plain,
% 79.87/51.71 (~v215(constB99)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28668, 11147, 28665])).
% 79.87/51.71 tff(28670,assumption,(v18(constB100)), introduced(assumption)).
% 79.87/51.71 tff(28671,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB100))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28672,plain,
% 79.87/51.71 ($false),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28671, 70, 28670])).
% 79.87/51.71 tff(28673,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 79.87/51.71 tff(28674,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28675,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28676,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28675, 28674])).
% 79.87/51.71 tff(28677,plain,
% 79.87/51.71 (v22(constB100)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28676, 83, 12736])).
% 79.87/51.71 tff(28678,plain,
% 79.87/51.71 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28679,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28680,plain,
% 79.87/51.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28679, 28678])).
% 79.87/51.71 tff(28681,plain,
% 79.87/51.71 ((~v19(constB100)) | v18(constB100)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28680, 97, 28677])).
% 79.87/51.71 tff(28682,plain,
% 79.87/51.71 (~v19(constB100)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28681, 28673])).
% 79.87/51.71 tff(28683,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28684,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28685,plain,
% 79.87/51.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28684, 28683])).
% 79.87/51.71 tff(28686,plain,
% 79.87/51.71 (v13(constB100)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28685, 112, 28682])).
% 79.87/51.71 tff(28687,plain,
% 79.87/51.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 79.87/51.71 inference(rewrite,[status(thm)],[])).
% 79.87/51.71 tff(28688,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 79.87/51.71 inference(quant_inst,[status(thm)],[])).
% 79.87/51.71 tff(28689,plain,
% 79.87/51.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99)),
% 79.87/51.71 inference(modus_ponens,[status(thm)],[28688, 28687])).
% 79.87/51.71 tff(28690,plain,
% 79.87/51.71 ((~v13(constB100)) | v9(constB99)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28689, 129, 12692])).
% 79.87/51.71 tff(28691,plain,
% 79.87/51.71 (v9(constB99)),
% 79.87/51.71 inference(unit_resolution,[status(thm)],[28690, 28686])).
% 79.87/51.71 tff(28692,plain,
% 79.87/51.71 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v184(constB99))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB99) | (~v9(constB99)) | v184(constB99))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28693,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v184(constB99))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28694,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB99) | (~v9(constB99)) | v184(constB99)),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 79.89/51.72 tff(28695,plain,
% 79.89/51.72 ((~v9(constB99)) | v184(constB99)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28694, 11036, 12572])).
% 79.89/51.72 tff(28696,plain,
% 79.89/51.72 (v184(constB99)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28695, 28691])).
% 79.89/51.72 tff(28697,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB99) | (~v184(constB99)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB99) | (~v184(constB99)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28698,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB99) | (~v184(constB99)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28699,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB99) | (~v184(constB99))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 79.89/51.72 tff(28700,plain,
% 79.89/51.72 (v183(constB99)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28699, 11048, 28696])).
% 79.89/51.72 tff(28701,plain,
% 79.89/51.72 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB99)) | (~v214(constB99)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB99)) | (~v214(constB99)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28702,plain,
% 79.89/51.72 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB99)) | (~v214(constB99)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28703,plain,
% 79.89/51.72 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB99)) | (~v214(constB99))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28702, 28701])).
% 79.89/51.72 tff(28704,plain,
% 79.89/51.72 (~v214(constB99)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28703, 11189, 28700])).
% 79.89/51.72 tff(28705,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB99) | v215(constB99) | (~v211(constB99)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB99) | v215(constB99) | (~v211(constB99)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28706,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB99) | v215(constB99) | (~v211(constB99)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28707,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB99) | v215(constB99) | (~v211(constB99))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 79.89/51.72 tff(28708,plain,
% 79.89/51.72 (v215(constB99) | (~v211(constB99))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28707, 11203, 28704])).
% 79.89/51.72 tff(28709,plain,
% 79.89/51.72 (~v211(constB99)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28708, 28669])).
% 79.89/51.72 tff(28710,plain,
% 79.89/51.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28711,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28712,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28711, 28710])).
% 79.89/51.72 tff(28713,plain,
% 79.89/51.72 (v211(constB99) | (~v213(constB100))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28712, 11218, 12692])).
% 79.89/51.72 tff(28714,plain,
% 79.89/51.72 (~v213(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28713, 28709])).
% 79.89/51.72 tff(28715,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB100) | (~v214(constB100)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB100) | (~v214(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28716,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB100) | (~v214(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28717,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB100) | (~v214(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28716, 28715])).
% 79.89/51.72 tff(28718,plain,
% 79.89/51.72 (~v214(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28717, 11230, 28714])).
% 79.89/51.72 tff(28719,plain,
% 79.89/51.72 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB100)) | (~v184(constB100)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB100)) | (~v184(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28720,plain,
% 79.89/51.72 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB100)) | (~v184(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28721,plain,
% 79.89/51.72 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB100)) | (~v184(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28720, 28719])).
% 79.89/51.72 tff(28722,plain,
% 79.89/51.72 (~v184(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28721, 11111, 12736])).
% 79.89/51.72 tff(28723,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB100) | (~v217(constB100)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB100) | (~v217(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28724,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB100) | (~v217(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28725,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB100) | (~v217(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 79.89/51.72 tff(28726,plain,
% 79.89/51.72 (~v217(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28725, 11245, 28722])).
% 79.89/51.72 tff(28727,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB100) | (~v216(constB100)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB100) | (~v216(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28728,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB100) | (~v216(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28729,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB100) | (~v216(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 79.89/51.72 tff(28730,plain,
% 79.89/51.72 (~v216(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28729, 11256, 28726])).
% 79.89/51.72 tff(28731,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB100) | (~v215(constB100)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB100) | (~v215(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28732,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB100) | (~v215(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28733,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB100) | (~v215(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28732, 28731])).
% 79.89/51.72 tff(28734,plain,
% 79.89/51.72 (~v215(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28733, 11267, 28730])).
% 79.89/51.72 tff(28735,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB100) | v215(constB100) | (~v211(constB100)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB100) | v215(constB100) | (~v211(constB100)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28736,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB100) | v215(constB100) | (~v211(constB100)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28737,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB100) | v215(constB100) | (~v211(constB100))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 79.89/51.72 tff(28738,plain,
% 79.89/51.72 (v214(constB100) | (~v211(constB100))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28737, 11203, 28734])).
% 79.89/51.72 tff(28739,plain,
% 79.89/51.72 (~v211(constB100)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28738, 28718])).
% 79.89/51.72 tff(28740,plain,
% 79.89/51.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28741,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28742,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 79.89/51.72 tff(28743,plain,
% 79.89/51.72 (v211(constB100) | (~v213(constB101))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28742, 11218, 12826])).
% 79.89/51.72 tff(28744,plain,
% 79.89/51.72 (~v213(constB101)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28743, 28739])).
% 79.89/51.72 tff(28745,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB101) | (~v245(constB101)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB101) | (~v245(constB101)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28746,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB101) | (~v245(constB101)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28747,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB101) | (~v245(constB101))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 79.89/51.72 tff(28748,plain,
% 79.89/51.72 (~v245(constB101)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28747, 11683, 28744])).
% 79.89/51.72 tff(28749,plain,
% 79.89/51.72 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB101)) | (~v244(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB101)) | (~v244(constB101)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28750,plain,
% 79.89/51.72 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB101)) | (~v244(constB101)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28751,plain,
% 79.89/51.72 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB101)) | (~v244(constB101))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28750, 28749])).
% 79.89/51.72 tff(28752,plain,
% 79.89/51.72 (~v244(constB101)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28751, 11694, 28504])).
% 79.89/51.72 tff(28753,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB101) | v245(constB101) | (~v241(constB101)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB101) | v245(constB101) | (~v241(constB101)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28754,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB101) | v245(constB101) | (~v241(constB101)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28755,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB101) | v245(constB101) | (~v241(constB101))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 79.89/51.72 tff(28756,plain,
% 79.89/51.72 (v245(constB101) | (~v241(constB101))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28755, 11708, 28752])).
% 79.89/51.72 tff(28757,plain,
% 79.89/51.72 (~v241(constB101)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28756, 28748])).
% 79.89/51.72 tff(28758,plain,
% 79.89/51.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB101, constB102)) | v241(constB101) | (~v243(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB101, constB102)) | v241(constB101) | (~v243(constB102)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28759,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB101, constB102)) | v241(constB101) | (~v243(constB102)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28760,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB101, constB102)) | v241(constB101) | (~v243(constB102))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 79.89/51.72 tff(28761,plain,
% 79.89/51.72 (v241(constB101) | (~v243(constB102))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28760, 11723, 12934])).
% 79.89/51.72 tff(28762,plain,
% 79.89/51.72 (~v243(constB102)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28761, 28757])).
% 79.89/51.72 tff(28763,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB102) | (~v244(constB102)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB102) | (~v244(constB102)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28764,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB102) | (~v244(constB102)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28765,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB102) | (~v244(constB102))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 79.89/51.72 tff(28766,plain,
% 79.89/51.72 (~v244(constB102)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28765, 11735, 28762])).
% 79.89/51.72 tff(28767,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB102) | (~v247(constB102)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB102) | (~v247(constB102)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28768,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB102) | (~v247(constB102)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28769,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB102) | (~v247(constB102))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 79.89/51.72 tff(28770,plain,
% 79.89/51.72 (~v247(constB102)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28769, 11746, 28529])).
% 79.89/51.72 tff(28771,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB102) | (~v246(constB102)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB102) | (~v246(constB102)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28772,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB102) | (~v246(constB102)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28773,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB102) | (~v246(constB102))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28772, 28771])).
% 79.89/51.72 tff(28774,plain,
% 79.89/51.72 (~v246(constB102)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28773, 11757, 28770])).
% 79.89/51.72 tff(28775,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB102) | (~v245(constB102)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB102) | (~v245(constB102)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28776,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB102) | (~v245(constB102)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28777,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB102) | (~v245(constB102))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28776, 28775])).
% 79.89/51.72 tff(28778,plain,
% 79.89/51.72 (~v245(constB102)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28777, 11768, 28774])).
% 79.89/51.72 tff(28779,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB102) | v245(constB102) | (~v241(constB102)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB102) | v245(constB102) | (~v241(constB102)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28780,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB102) | v245(constB102) | (~v241(constB102)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28781,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB102) | v245(constB102) | (~v241(constB102))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 79.89/51.72 tff(28782,plain,
% 79.89/51.72 (v244(constB102) | (~v241(constB102))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28781, 11708, 28778])).
% 79.89/51.72 tff(28783,plain,
% 79.89/51.72 (~v241(constB102)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28782, 28766])).
% 79.89/51.72 tff(28784,plain,
% 79.89/51.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB102, constB103)) | v241(constB102) | (~v243(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB102, constB103)) | v241(constB102) | (~v243(constB103)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28785,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB102, constB103)) | v241(constB102) | (~v243(constB103)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28786,plain,
% 79.89/51.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB102, constB103)) | v241(constB102) | (~v243(constB103))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 79.89/51.72 tff(28787,plain,
% 79.89/51.72 (v241(constB102) | (~v243(constB103))),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28786, 11723, 12996])).
% 79.89/51.72 tff(28788,plain,
% 79.89/51.72 (~v243(constB103)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28787, 28783])).
% 79.89/51.72 tff(28789,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB103) | (~v302(constB103)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB103) | (~v302(constB103)))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28790,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB103) | (~v302(constB103)))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28791,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB103) | (~v302(constB103))),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28790, 28789])).
% 79.89/51.72 tff(28792,plain,
% 79.89/51.72 (~v302(constB103)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28791, 11789, 28788])).
% 79.89/51.72 tff(28793,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB103) | v302(constB103) | v290(constB103))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB103) | v302(constB103) | v290(constB103))),
% 79.89/51.72 inference(rewrite,[status(thm)],[])).
% 79.89/51.72 tff(28794,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB103) | v302(constB103) | v290(constB103))),
% 79.89/51.72 inference(quant_inst,[status(thm)],[])).
% 79.89/51.72 tff(28795,plain,
% 79.89/51.72 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB103) | v302(constB103) | v290(constB103)),
% 79.89/51.72 inference(modus_ponens,[status(thm)],[28794, 28793])).
% 79.89/51.72 tff(28796,plain,
% 79.89/51.72 (v292(constB103) | v290(constB103)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28795, 11803, 28792])).
% 79.89/51.72 tff(28797,plain,
% 79.89/51.72 (v290(constB103)),
% 79.89/51.72 inference(unit_resolution,[status(thm)],[28796, 28556])).
% 79.89/51.72 tff(28798,plain,
% 79.89/51.72 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | ((~v229(constB97)) | v140(constB97) | v139(constB97))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (~v229(constB97)) | v140(constB97) | v139(constB97))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28799,plain,
% 79.89/51.73 ((v140(constB97) | v139(constB97) | (~v229(constB97))) <=> ((~v229(constB97)) | v140(constB97) | v139(constB97))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28800,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v229(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | ((~v229(constB97)) | v140(constB97) | v139(constB97)))),
% 79.89/51.73 inference(monotonicity,[status(thm)],[28799])).
% 79.89/51.73 tff(28801,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v229(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (~v229(constB97)) | v140(constB97) | v139(constB97))),
% 79.89/51.73 inference(transitivity,[status(thm)],[28800, 28798])).
% 79.89/51.73 tff(28802,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v229(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28803,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (~v229(constB97)) | v140(constB97) | v139(constB97)),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28802, 28801])).
% 79.89/51.73 tff(28804,plain,
% 79.89/51.73 ((~v229(constB97)) | v139(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28803, 20206, 28570])).
% 79.89/51.73 tff(28805,plain,
% 79.89/51.73 (~v229(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28804, 28563])).
% 79.89/51.73 tff(28806,plain,
% 79.89/51.73 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v141(VarCurr))))),
% 79.89/51.73 inference(bind,[status(th)],[])).
% 79.89/51.73 tff(28807,plain,
% 79.89/51.73 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 79.89/51.73 inference(quant_intro,[status(thm)],[28806])).
% 79.89/51.73 tff(28808,plain,
% 79.89/51.73 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28809,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_3')).
% 79.89/51.73 tff(28810,plain,
% 79.89/51.73 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28809, 28808])).
% 79.89/51.73 tff(28811,plain,(
% 79.89/51.73 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 79.89/51.73 inference(skolemize,[status(sab)],[28810])).
% 79.89/51.73 tff(28812,plain,
% 79.89/51.73 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28811, 28807])).
% 79.89/51.73 tff(28813,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB97)) | v88(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB97)) | v88(constB97, bitIndex0))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28814,plain,
% 79.89/51.73 ((v88(constB97, bitIndex0) | (~v141(constB97))) <=> ((~v141(constB97)) | v88(constB97, bitIndex0))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28815,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB97, bitIndex0) | (~v141(constB97)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB97)) | v88(constB97, bitIndex0)))),
% 79.89/51.73 inference(monotonicity,[status(thm)],[28814])).
% 79.89/51.73 tff(28816,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB97, bitIndex0) | (~v141(constB97)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB97)) | v88(constB97, bitIndex0))),
% 79.89/51.73 inference(transitivity,[status(thm)],[28815, 28813])).
% 79.89/51.73 tff(28817,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB97, bitIndex0) | (~v141(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28818,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB97)) | v88(constB97, bitIndex0)),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28817, 28816])).
% 79.89/51.73 tff(28819,plain,
% 79.89/51.73 (~v141(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28818, 28812, 10759])).
% 79.89/51.73 tff(28820,plain,
% 79.89/51.73 (^[VarCurr: $i] : refl((v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr))) <=> (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr))))),
% 79.89/51.73 inference(bind,[status(th)],[])).
% 79.89/51.73 tff(28821,plain,
% 79.89/51.73 (![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(quant_intro,[status(thm)],[28820])).
% 79.89/51.73 tff(28822,plain,
% 79.89/51.73 (![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28823,plain,
% 79.89/51.73 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v200(VarCurr)) | v229(VarCurr)) <=> (v229(VarCurr) | (~v200(VarCurr)))), ((((~v200(VarCurr)) | v229(VarCurr)) | v141(VarCurr)) <=> ((v229(VarCurr) | (~v200(VarCurr))) | v141(VarCurr)))), rewrite(((v229(VarCurr) | (~v200(VarCurr))) | v141(VarCurr)) <=> (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))), ((((~v200(VarCurr)) | v229(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))))),
% 79.89/51.73 inference(bind,[status(th)],[])).
% 79.89/51.73 tff(28824,plain,
% 79.89/51.73 (![VarCurr: $i] : (((~v200(VarCurr)) | v229(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(quant_intro,[status(thm)],[28823])).
% 79.89/51.73 tff(28825,axiom,(![VarCurr: $i] : (((~v200(VarCurr)) | v229(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_1_1_1')).
% 79.89/51.73 tff(28826,plain,
% 79.89/51.73 (![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 79.89/51.73 tff(28827,plain,
% 79.89/51.73 (![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28826, 28822])).
% 79.89/51.73 tff(28828,plain,(
% 79.89/51.73 ![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(skolemize,[status(sab)],[28827])).
% 79.89/51.73 tff(28829,plain,
% 79.89/51.73 (![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28828, 28821])).
% 79.89/51.73 tff(28830,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | (v141(constB97) | v229(constB97) | (~v200(constB97)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | v141(constB97) | v229(constB97) | (~v200(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28831,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | (v141(constB97) | v229(constB97) | (~v200(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28832,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | v141(constB97) | v229(constB97) | (~v200(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28831, 28830])).
% 79.89/51.73 tff(28833,plain,
% 79.89/51.73 (v229(constB97) | (~v200(constB97))),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28832, 28829, 28819])).
% 79.89/51.73 tff(28834,plain,
% 79.89/51.73 (~v200(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28833, 28805])).
% 79.89/51.73 tff(28835,plain,
% 79.89/51.73 (^[VarNext: $i] : refl(((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))) <=> ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))))),
% 79.89/51.73 inference(bind,[status(th)],[])).
% 79.89/51.73 tff(28836,plain,
% 79.89/51.73 (![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(quant_intro,[status(thm)],[28835])).
% 79.89/51.73 tff(28837,plain,
% 79.89/51.73 (![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28838,plain,
% 79.89/51.73 (^[VarNext: $i] : rewrite(((v200(VarNext) | (~v193(VarNext))) | (~v226(VarNext))) <=> ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))))),
% 79.89/51.73 inference(bind,[status(th)],[])).
% 79.89/51.73 tff(28839,plain,
% 79.89/51.73 (![VarNext: $i] : ((v200(VarNext) | (~v193(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(quant_intro,[status(thm)],[28838])).
% 79.89/51.73 tff(28840,axiom,(![VarNext: $i] : ((v200(VarNext) | (~v193(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_2')).
% 79.89/51.73 tff(28841,plain,
% 79.89/51.73 (![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28840, 28839])).
% 79.89/51.73 tff(28842,plain,
% 79.89/51.73 (![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28841, 28837])).
% 79.89/51.73 tff(28843,plain,(
% 79.89/51.73 ![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(skolemize,[status(sab)],[28842])).
% 79.89/51.73 tff(28844,plain,
% 79.89/51.73 (![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28843, 28836])).
% 79.89/51.73 tff(28845,plain,
% 79.89/51.73 (((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v193(constB97)) | v200(constB97) | (~v226(constB97)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB97)) | v200(constB97) | (~v226(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28846,plain,
% 79.89/51.73 (((~v226(constB97)) | v200(constB97) | (~v193(constB97))) <=> ((~v193(constB97)) | v200(constB97) | (~v226(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28847,plain,
% 79.89/51.73 (((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB97)) | v200(constB97) | (~v193(constB97)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v193(constB97)) | v200(constB97) | (~v226(constB97))))),
% 79.89/51.73 inference(monotonicity,[status(thm)],[28846])).
% 79.89/51.73 tff(28848,plain,
% 79.89/51.73 (((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB97)) | v200(constB97) | (~v193(constB97)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB97)) | v200(constB97) | (~v226(constB97)))),
% 79.89/51.73 inference(transitivity,[status(thm)],[28847, 28845])).
% 79.89/51.73 tff(28849,plain,
% 79.89/51.73 ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB97)) | v200(constB97) | (~v193(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28850,plain,
% 79.89/51.73 ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB97)) | v200(constB97) | (~v226(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28849, 28848])).
% 79.89/51.73 tff(28851,plain,
% 79.89/51.73 ((~v193(constB97)) | (~v226(constB97))),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28850, 28844, 28834])).
% 79.89/51.73 tff(28852,plain,
% 79.89/51.73 (~v193(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28851, 10821])).
% 79.89/51.73 tff(28853,plain,
% 79.89/51.73 (^[VarCurr: $i] : refl((v193(VarCurr) | (~v247(VarCurr))) <=> (v193(VarCurr) | (~v247(VarCurr))))),
% 79.89/51.73 inference(bind,[status(th)],[])).
% 79.89/51.73 tff(28854,plain,
% 79.89/51.73 (![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))),
% 79.89/51.73 inference(quant_intro,[status(thm)],[28853])).
% 79.89/51.73 tff(28855,plain,
% 79.89/51.73 (![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28856,axiom,(![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_1_2')).
% 79.89/51.73 tff(28857,plain,
% 79.89/51.73 (![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28856, 28855])).
% 79.89/51.73 tff(28858,plain,(
% 79.89/51.73 ![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))),
% 79.89/51.73 inference(skolemize,[status(sab)],[28857])).
% 79.89/51.73 tff(28859,plain,
% 79.89/51.73 (![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28858, 28854])).
% 79.89/51.73 tff(28860,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | (v193(constB97) | (~v247(constB97)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | v193(constB97) | (~v247(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28861,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | (v193(constB97) | (~v247(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28862,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | v193(constB97) | (~v247(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 79.89/51.73 tff(28863,plain,
% 79.89/51.73 (~v247(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28862, 28859, 28852])).
% 79.89/51.73 tff(28864,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB97) | (~v246(constB97)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB97) | (~v246(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28865,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB97) | (~v246(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28866,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB97) | (~v246(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 79.89/51.73 tff(28867,plain,
% 79.89/51.73 (~v246(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28866, 11757, 28863])).
% 79.89/51.73 tff(28868,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB97) | (~v245(constB97)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB97) | (~v245(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28869,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB97) | (~v245(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28870,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB97) | (~v245(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28869, 28868])).
% 79.89/51.73 tff(28871,plain,
% 79.89/51.73 (~v245(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28870, 11768, 28867])).
% 79.89/51.73 tff(28872,plain,
% 79.89/51.73 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB97)) | (~v244(constB97)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB97)) | (~v244(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28873,plain,
% 79.89/51.73 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB97)) | (~v244(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28874,plain,
% 79.89/51.73 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB97)) | (~v244(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28873, 28872])).
% 79.89/51.73 tff(28875,plain,
% 79.89/51.73 (~v244(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28874, 11694, 28625])).
% 79.89/51.73 tff(28876,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB97) | v245(constB97) | (~v241(constB97)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB97) | v245(constB97) | (~v241(constB97)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28877,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB97) | v245(constB97) | (~v241(constB97)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28878,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB97) | v245(constB97) | (~v241(constB97))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28877, 28876])).
% 79.89/51.73 tff(28879,plain,
% 79.89/51.73 (v245(constB97) | (~v241(constB97))),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28878, 11708, 28875])).
% 79.89/51.73 tff(28880,plain,
% 79.89/51.73 (~v241(constB97)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28879, 28871])).
% 79.89/51.73 tff(28881,plain,
% 79.89/51.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB97, constB98)) | v241(constB97) | (~v243(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB97, constB98)) | v241(constB97) | (~v243(constB98)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28882,plain,
% 79.89/51.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB97, constB98)) | v241(constB97) | (~v243(constB98)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28883,plain,
% 79.89/51.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB97, constB98)) | v241(constB97) | (~v243(constB98))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28882, 28881])).
% 79.89/51.73 tff(28884,plain,
% 79.89/51.73 (v241(constB97) | (~v243(constB98))),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28883, 11723, 12482])).
% 79.89/51.73 tff(28885,plain,
% 79.89/51.73 (~v243(constB98)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28884, 28880])).
% 79.89/51.73 tff(28886,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB98) | (~v244(constB98)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB98) | (~v244(constB98)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28887,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB98) | (~v244(constB98)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28888,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB98) | (~v244(constB98))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28887, 28886])).
% 79.89/51.73 tff(28889,plain,
% 79.89/51.73 (~v244(constB98)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28888, 11735, 28885])).
% 79.89/51.73 tff(28890,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB98) | (~v247(constB98)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB98) | (~v247(constB98)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28891,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB98) | (~v247(constB98)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28892,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB98) | (~v247(constB98))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28891, 28890])).
% 79.89/51.73 tff(28893,plain,
% 79.89/51.73 (~v247(constB98)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28892, 11746, 28647])).
% 79.89/51.73 tff(28894,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB98) | (~v246(constB98)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB98) | (~v246(constB98)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28895,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB98) | (~v246(constB98)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28896,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB98) | (~v246(constB98))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28895, 28894])).
% 79.89/51.73 tff(28897,plain,
% 79.89/51.73 (~v246(constB98)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28896, 11757, 28893])).
% 79.89/51.73 tff(28898,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB98) | (~v245(constB98)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB98) | (~v245(constB98)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28899,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB98) | (~v245(constB98)))),
% 79.89/51.73 inference(quant_inst,[status(thm)],[])).
% 79.89/51.73 tff(28900,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB98) | (~v245(constB98))),
% 79.89/51.73 inference(modus_ponens,[status(thm)],[28899, 28898])).
% 79.89/51.73 tff(28901,plain,
% 79.89/51.73 (~v245(constB98)),
% 79.89/51.73 inference(unit_resolution,[status(thm)],[28900, 11768, 28897])).
% 79.89/51.73 tff(28902,plain,
% 79.89/51.73 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB98) | v245(constB98) | (~v241(constB98)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB98) | v245(constB98) | (~v241(constB98)))),
% 79.89/51.73 inference(rewrite,[status(thm)],[])).
% 79.89/51.73 tff(28903,plain,
% 79.89/51.73 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB98) | v245(constB98) | (~v241(constB98)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28904,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB98) | v245(constB98) | (~v241(constB98))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28903, 28902])).
% 79.89/51.74 tff(28905,plain,
% 79.89/51.74 (v244(constB98) | (~v241(constB98))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28904, 11708, 28901])).
% 79.89/51.74 tff(28906,plain,
% 79.89/51.74 (~v241(constB98)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28905, 28889])).
% 79.89/51.74 tff(28907,plain,
% 79.89/51.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB98, constB99)) | v241(constB98) | (~v243(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB98, constB99)) | v241(constB98) | (~v243(constB99)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28908,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB98, constB99)) | v241(constB98) | (~v243(constB99)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28909,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB98, constB99)) | v241(constB98) | (~v243(constB99))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 79.89/51.74 tff(28910,plain,
% 79.89/51.74 (v241(constB98) | (~v243(constB99))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28909, 11723, 12575])).
% 79.89/51.74 tff(28911,plain,
% 79.89/51.74 (~v243(constB99)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28910, 28906])).
% 79.89/51.74 tff(28912,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB99) | (~v260(constB99)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB99) | (~v260(constB99)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28913,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB99) | (~v260(constB99)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28914,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB99) | (~v260(constB99))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28913, 28912])).
% 79.89/51.74 tff(28915,plain,
% 79.89/51.74 (~v260(constB99)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28914, 12130, 28911])).
% 79.89/51.74 tff(28916,plain,
% 79.89/51.74 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB99)) | (~v259(constB99)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB99)) | (~v259(constB99)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28917,plain,
% 79.89/51.74 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB99)) | (~v259(constB99)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28918,plain,
% 79.89/51.74 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB99)) | (~v259(constB99))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28917, 28916])).
% 79.89/51.74 tff(28919,plain,
% 79.89/51.74 (~v259(constB99)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28918, 12141, 28700])).
% 79.89/51.74 tff(28920,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB99) | v260(constB99) | (~v256(constB99)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB99) | v260(constB99) | (~v256(constB99)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28921,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB99) | v260(constB99) | (~v256(constB99)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28922,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB99) | v260(constB99) | (~v256(constB99))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28921, 28920])).
% 79.89/51.74 tff(28923,plain,
% 79.89/51.74 (v260(constB99) | (~v256(constB99))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28922, 12155, 28919])).
% 79.89/51.74 tff(28924,plain,
% 79.89/51.74 (~v256(constB99)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28923, 28915])).
% 79.89/51.74 tff(28925,plain,
% 79.89/51.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB99, constB100)) | v256(constB99) | (~v258(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB99, constB100)) | v256(constB99) | (~v258(constB100)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28926,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB99, constB100)) | v256(constB99) | (~v258(constB100)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28927,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB99, constB100)) | v256(constB99) | (~v258(constB100))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 79.89/51.74 tff(28928,plain,
% 79.89/51.74 (v256(constB99) | (~v258(constB100))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28927, 12170, 12692])).
% 79.89/51.74 tff(28929,plain,
% 79.89/51.74 (~v258(constB100)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28928, 28924])).
% 79.89/51.74 tff(28930,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB100) | (~v259(constB100)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB100) | (~v259(constB100)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28931,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB100) | (~v259(constB100)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28932,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB100) | (~v259(constB100))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28931, 28930])).
% 79.89/51.74 tff(28933,plain,
% 79.89/51.74 (~v259(constB100)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28932, 12182, 28929])).
% 79.89/51.74 tff(28934,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB100) | (~v262(constB100)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB100) | (~v262(constB100)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28935,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB100) | (~v262(constB100)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28936,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB100) | (~v262(constB100))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 79.89/51.74 tff(28937,plain,
% 79.89/51.74 (~v262(constB100)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28936, 12193, 28722])).
% 79.89/51.74 tff(28938,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB100) | (~v261(constB100)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB100) | (~v261(constB100)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28939,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB100) | (~v261(constB100)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28940,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB100) | (~v261(constB100))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 79.89/51.74 tff(28941,plain,
% 79.89/51.74 (~v261(constB100)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28940, 12204, 28937])).
% 79.89/51.74 tff(28942,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB100) | (~v260(constB100)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB100) | (~v260(constB100)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28943,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB100) | (~v260(constB100)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28944,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB100) | (~v260(constB100))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28943, 28942])).
% 79.89/51.74 tff(28945,plain,
% 79.89/51.74 (~v260(constB100)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28944, 12215, 28941])).
% 79.89/51.74 tff(28946,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB100) | v260(constB100) | (~v256(constB100)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB100) | v260(constB100) | (~v256(constB100)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28947,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB100) | v260(constB100) | (~v256(constB100)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28948,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB100) | v260(constB100) | (~v256(constB100))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28947, 28946])).
% 79.89/51.74 tff(28949,plain,
% 79.89/51.74 (v259(constB100) | (~v256(constB100))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28948, 12155, 28945])).
% 79.89/51.74 tff(28950,plain,
% 79.89/51.74 (~v256(constB100)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28949, 28933])).
% 79.89/51.74 tff(28951,plain,
% 79.89/51.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB100, constB101)) | v256(constB100) | (~v258(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB100, constB101)) | v256(constB100) | (~v258(constB101)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28952,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB100, constB101)) | v256(constB100) | (~v258(constB101)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28953,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB100, constB101)) | v256(constB100) | (~v258(constB101))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 79.89/51.74 tff(28954,plain,
% 79.89/51.74 (v256(constB100) | (~v258(constB101))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28953, 12170, 12826])).
% 79.89/51.74 tff(28955,plain,
% 79.89/51.74 (~v258(constB101)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28954, 28950])).
% 79.89/51.74 tff(28956,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB101) | (~v271(constB101)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB101) | (~v271(constB101)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28957,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB101) | (~v271(constB101)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28958,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB101) | (~v271(constB101))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28957, 28956])).
% 79.89/51.74 tff(28959,plain,
% 79.89/51.74 (~v271(constB101)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28958, 12236, 28955])).
% 79.89/51.74 tff(28960,plain,
% 79.89/51.74 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB101)) | (~v270(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB101)) | (~v270(constB101)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28961,plain,
% 79.89/51.74 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB101)) | (~v270(constB101)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28962,plain,
% 79.89/51.74 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB101)) | (~v270(constB101))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 79.89/51.74 tff(28963,plain,
% 79.89/51.74 (~v270(constB101)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28962, 12247, 28504])).
% 79.89/51.74 tff(28964,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB101)) | v271(constB101) | v270(constB101))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB101)) | v271(constB101) | v270(constB101))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28965,plain,
% 79.89/51.74 ((v271(constB101) | v270(constB101) | (~v267(constB101))) <=> ((~v267(constB101)) | v271(constB101) | v270(constB101))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28966,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB101) | v270(constB101) | (~v267(constB101)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB101)) | v271(constB101) | v270(constB101)))),
% 79.89/51.74 inference(monotonicity,[status(thm)],[28965])).
% 79.89/51.74 tff(28967,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB101) | v270(constB101) | (~v267(constB101)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB101)) | v271(constB101) | v270(constB101))),
% 79.89/51.74 inference(transitivity,[status(thm)],[28966, 28964])).
% 79.89/51.74 tff(28968,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB101) | v270(constB101) | (~v267(constB101)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28969,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB101)) | v271(constB101) | v270(constB101)),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28968, 28967])).
% 79.89/51.74 tff(28970,plain,
% 79.89/51.74 ((~v267(constB101)) | v271(constB101)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28969, 12261, 28963])).
% 79.89/51.74 tff(28971,plain,
% 79.89/51.74 (~v267(constB101)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28970, 28959])).
% 79.89/51.74 tff(28972,plain,
% 79.89/51.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB101, constB102)) | v267(constB101) | (~v269(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB101, constB102)) | v267(constB101) | (~v269(constB102)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28973,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB101, constB102)) | v267(constB101) | (~v269(constB102)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28974,plain,
% 79.89/51.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB101, constB102)) | v267(constB101) | (~v269(constB102))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28973, 28972])).
% 79.89/51.74 tff(28975,plain,
% 79.89/51.74 (v267(constB101) | (~v269(constB102))),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28974, 12279, 12934])).
% 79.89/51.74 tff(28976,plain,
% 79.89/51.74 (~v269(constB102)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28975, 28971])).
% 79.89/51.74 tff(28977,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB102) | (~v270(constB102)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB102) | (~v270(constB102)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28978,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB102) | (~v270(constB102)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28979,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB102) | (~v270(constB102))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 79.89/51.74 tff(28980,plain,
% 79.89/51.74 (~v270(constB102)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28979, 12291, 28976])).
% 79.89/51.74 tff(28981,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB102) | (~v262(constB102)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB102) | (~v262(constB102)))),
% 79.89/51.74 inference(rewrite,[status(thm)],[])).
% 79.89/51.74 tff(28982,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB102) | (~v262(constB102)))),
% 79.89/51.74 inference(quant_inst,[status(thm)],[])).
% 79.89/51.74 tff(28983,plain,
% 79.89/51.74 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB102) | (~v262(constB102))),
% 79.89/51.74 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 79.89/51.74 tff(28984,plain,
% 79.89/51.74 (~v262(constB102)),
% 79.89/51.74 inference(unit_resolution,[status(thm)],[28983, 12193, 28529])).
% 79.89/51.74 tff(28985,plain,
% 79.89/51.74 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB102) | (~v261(constB102)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB102) | (~v261(constB102)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(28986,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB102) | (~v261(constB102)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(28987,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB102) | (~v261(constB102))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[28986, 28985])).
% 79.89/51.75 tff(28988,plain,
% 79.89/51.75 (~v261(constB102)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[28987, 12204, 28984])).
% 79.89/51.75 tff(28989,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB102) | (~v271(constB102)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB102) | (~v271(constB102)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(28990,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB102) | (~v271(constB102)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(28991,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB102) | (~v271(constB102))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[28990, 28989])).
% 79.89/51.75 tff(28992,plain,
% 79.89/51.75 (~v271(constB102)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[28991, 12310, 28988])).
% 79.89/51.75 tff(28993,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB102)) | v271(constB102) | v270(constB102))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB102)) | v271(constB102) | v270(constB102))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(28994,plain,
% 79.89/51.75 ((v271(constB102) | v270(constB102) | (~v267(constB102))) <=> ((~v267(constB102)) | v271(constB102) | v270(constB102))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(28995,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB102) | v270(constB102) | (~v267(constB102)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB102)) | v271(constB102) | v270(constB102)))),
% 79.89/51.75 inference(monotonicity,[status(thm)],[28994])).
% 79.89/51.75 tff(28996,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB102) | v270(constB102) | (~v267(constB102)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB102)) | v271(constB102) | v270(constB102))),
% 79.89/51.75 inference(transitivity,[status(thm)],[28995, 28993])).
% 79.89/51.75 tff(28997,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB102) | v270(constB102) | (~v267(constB102)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(28998,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB102)) | v271(constB102) | v270(constB102)),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[28997, 28996])).
% 79.89/51.75 tff(28999,plain,
% 79.89/51.75 ((~v267(constB102)) | v270(constB102)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[28998, 12261, 28992])).
% 79.89/51.75 tff(29000,plain,
% 79.89/51.75 (~v267(constB102)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[28999, 28980])).
% 79.89/51.75 tff(29001,plain,
% 79.89/51.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB102, constB103)) | v267(constB102) | (~v269(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB102, constB103)) | v267(constB102) | (~v269(constB103)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29002,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB102, constB103)) | v267(constB102) | (~v269(constB103)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29003,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB102, constB103)) | v267(constB102) | (~v269(constB103))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29002, 29001])).
% 79.89/51.75 tff(29004,plain,
% 79.89/51.75 (v267(constB102) | (~v269(constB103))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29003, 12279, 12996])).
% 79.89/51.75 tff(29005,plain,
% 79.89/51.75 (~v269(constB103)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29004, 29000])).
% 79.89/51.75 tff(29006,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB103) | (~v307(constB103)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB103) | (~v307(constB103)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29007,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB103) | (~v307(constB103)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29008,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB103) | (~v307(constB103))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29007, 29006])).
% 79.89/51.75 tff(29009,plain,
% 79.89/51.75 (~v307(constB103)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29008, 20510, 29005])).
% 79.89/51.75 tff(29010,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB103) | v307(constB103) | (~v290(constB103)))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB103) | v307(constB103) | (~v290(constB103)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29011,plain,
% 79.89/51.75 ((v307(constB103) | (~v290(constB103)) | v289(constB103)) <=> (v289(constB103) | v307(constB103) | (~v290(constB103)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29012,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB103) | (~v290(constB103)) | v289(constB103))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB103) | v307(constB103) | (~v290(constB103))))),
% 79.89/51.75 inference(monotonicity,[status(thm)],[29011])).
% 79.89/51.75 tff(29013,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB103) | (~v290(constB103)) | v289(constB103))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB103) | v307(constB103) | (~v290(constB103)))),
% 79.89/51.75 inference(transitivity,[status(thm)],[29012, 29010])).
% 79.89/51.75 tff(29014,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB103) | (~v290(constB103)) | v289(constB103))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29015,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB103) | v307(constB103) | (~v290(constB103))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29014, 29013])).
% 79.89/51.75 tff(29016,plain,
% 79.89/51.75 (v289(constB103) | (~v290(constB103))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29015, 11821, 29009])).
% 79.89/51.75 tff(29017,plain,
% 79.89/51.75 (v289(constB103)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29016, 28797])).
% 79.89/51.75 tff(29018,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB97) | (~v260(constB97)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB97) | (~v260(constB97)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29019,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB97) | (~v260(constB97)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29020,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB97) | (~v260(constB97))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29019, 29018])).
% 79.89/51.75 tff(29021,plain,
% 79.89/51.75 (~v260(constB97)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29020, 12130, 11782])).
% 79.89/51.75 tff(29022,plain,
% 79.89/51.75 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB97)) | (~v259(constB97)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB97)) | (~v259(constB97)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29023,plain,
% 79.89/51.75 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB97)) | (~v259(constB97)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29024,plain,
% 79.89/51.75 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB97)) | (~v259(constB97))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29023, 29022])).
% 79.89/51.75 tff(29025,plain,
% 79.89/51.75 (~v259(constB97)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29024, 12141, 28625])).
% 79.89/51.75 tff(29026,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB97) | v260(constB97) | (~v256(constB97)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB97) | v260(constB97) | (~v256(constB97)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29027,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB97) | v260(constB97) | (~v256(constB97)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29028,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB97) | v260(constB97) | (~v256(constB97))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 79.89/51.75 tff(29029,plain,
% 79.89/51.75 (v260(constB97) | (~v256(constB97))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29028, 12155, 29025])).
% 79.89/51.75 tff(29030,plain,
% 79.89/51.75 (~v256(constB97)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29029, 29021])).
% 79.89/51.75 tff(29031,plain,
% 79.89/51.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29032,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29033,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 79.89/51.75 tff(29034,plain,
% 79.89/51.75 (v256(constB97) | (~v258(constB98))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29033, 12170, 12482])).
% 79.89/51.75 tff(29035,plain,
% 79.89/51.75 (~v258(constB98)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29034, 29030])).
% 79.89/51.75 tff(29036,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB98) | (~v259(constB98)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB98) | (~v259(constB98)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29037,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB98) | (~v259(constB98)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29038,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB98) | (~v259(constB98))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29037, 29036])).
% 79.89/51.75 tff(29039,plain,
% 79.89/51.75 (~v259(constB98)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29038, 12182, 29035])).
% 79.89/51.75 tff(29040,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB98) | (~v262(constB98)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB98) | (~v262(constB98)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29041,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB98) | (~v262(constB98)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29042,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB98) | (~v262(constB98))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29041, 29040])).
% 79.89/51.75 tff(29043,plain,
% 79.89/51.75 (~v262(constB98)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29042, 12193, 28647])).
% 79.89/51.75 tff(29044,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB98) | (~v261(constB98)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB98) | (~v261(constB98)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29045,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB98) | (~v261(constB98)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29046,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB98) | (~v261(constB98))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29045, 29044])).
% 79.89/51.75 tff(29047,plain,
% 79.89/51.75 (~v261(constB98)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29046, 12204, 29043])).
% 79.89/51.75 tff(29048,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB98) | (~v260(constB98)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB98) | (~v260(constB98)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29049,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB98) | (~v260(constB98)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29050,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB98) | (~v260(constB98))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29049, 29048])).
% 79.89/51.75 tff(29051,plain,
% 79.89/51.75 (~v260(constB98)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29050, 12215, 29047])).
% 79.89/51.75 tff(29052,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB98) | v260(constB98) | (~v256(constB98)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB98) | v260(constB98) | (~v256(constB98)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29053,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB98) | v260(constB98) | (~v256(constB98)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29054,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB98) | v260(constB98) | (~v256(constB98))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29053, 29052])).
% 79.89/51.75 tff(29055,plain,
% 79.89/51.75 (v259(constB98) | (~v256(constB98))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29054, 12155, 29051])).
% 79.89/51.75 tff(29056,plain,
% 79.89/51.75 (~v256(constB98)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29055, 29039])).
% 79.89/51.75 tff(29057,plain,
% 79.89/51.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29058,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29059,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29058, 29057])).
% 79.89/51.75 tff(29060,plain,
% 79.89/51.75 (v256(constB98) | (~v258(constB99))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29059, 12170, 12575])).
% 79.89/51.75 tff(29061,plain,
% 79.89/51.75 (~v258(constB99)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29060, 29056])).
% 79.89/51.75 tff(29062,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB99) | (~v271(constB99)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB99) | (~v271(constB99)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29063,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB99) | (~v271(constB99)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29064,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB99) | (~v271(constB99))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29063, 29062])).
% 79.89/51.75 tff(29065,plain,
% 79.89/51.75 (~v271(constB99)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29064, 12236, 29061])).
% 79.89/51.75 tff(29066,plain,
% 79.89/51.75 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB99)) | (~v270(constB99)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB99)) | (~v270(constB99)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29067,plain,
% 79.89/51.75 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB99)) | (~v270(constB99)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29068,plain,
% 79.89/51.75 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB99)) | (~v270(constB99))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29067, 29066])).
% 79.89/51.75 tff(29069,plain,
% 79.89/51.75 (~v270(constB99)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29068, 12247, 28700])).
% 79.89/51.75 tff(29070,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB99)) | v270(constB99) | v271(constB99))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB99)) | v270(constB99) | v271(constB99))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29071,plain,
% 79.89/51.75 ((v271(constB99) | v270(constB99) | (~v267(constB99))) <=> ((~v267(constB99)) | v270(constB99) | v271(constB99))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29072,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB99) | v270(constB99) | (~v267(constB99)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB99)) | v270(constB99) | v271(constB99)))),
% 79.89/51.75 inference(monotonicity,[status(thm)],[29071])).
% 79.89/51.75 tff(29073,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB99) | v270(constB99) | (~v267(constB99)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB99)) | v270(constB99) | v271(constB99))),
% 79.89/51.75 inference(transitivity,[status(thm)],[29072, 29070])).
% 79.89/51.75 tff(29074,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB99) | v270(constB99) | (~v267(constB99)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29075,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB99)) | v270(constB99) | v271(constB99)),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29074, 29073])).
% 79.89/51.75 tff(29076,plain,
% 79.89/51.75 ((~v267(constB99)) | v271(constB99)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29075, 12261, 29069])).
% 79.89/51.75 tff(29077,plain,
% 79.89/51.75 (~v267(constB99)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29076, 29065])).
% 79.89/51.75 tff(29078,plain,
% 79.89/51.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29079,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29080,plain,
% 79.89/51.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29079, 29078])).
% 79.89/51.75 tff(29081,plain,
% 79.89/51.75 (v267(constB99) | (~v269(constB100))),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29080, 12279, 12692])).
% 79.89/51.75 tff(29082,plain,
% 79.89/51.75 (~v269(constB100)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29081, 29077])).
% 79.89/51.75 tff(29083,plain,
% 79.89/51.75 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB100) | (~v270(constB100)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB100) | (~v270(constB100)))),
% 79.89/51.75 inference(rewrite,[status(thm)],[])).
% 79.89/51.75 tff(29084,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB100) | (~v270(constB100)))),
% 79.89/51.75 inference(quant_inst,[status(thm)],[])).
% 79.89/51.75 tff(29085,plain,
% 79.89/51.75 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB100) | (~v270(constB100))),
% 79.89/51.75 inference(modus_ponens,[status(thm)],[29084, 29083])).
% 79.89/51.75 tff(29086,plain,
% 79.89/51.75 (~v270(constB100)),
% 79.89/51.75 inference(unit_resolution,[status(thm)],[29085, 12291, 29082])).
% 79.89/51.75 tff(29087,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB100) | (~v271(constB100)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB100) | (~v271(constB100)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29088,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB100) | (~v271(constB100)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29089,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB100) | (~v271(constB100))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29088, 29087])).
% 79.89/51.76 tff(29090,plain,
% 79.89/51.76 (~v271(constB100)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29089, 12310, 28941])).
% 79.89/51.76 tff(29091,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB100)) | v271(constB100) | v270(constB100))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB100)) | v271(constB100) | v270(constB100))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29092,plain,
% 79.89/51.76 ((v271(constB100) | v270(constB100) | (~v267(constB100))) <=> ((~v267(constB100)) | v271(constB100) | v270(constB100))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29093,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB100) | v270(constB100) | (~v267(constB100)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB100)) | v271(constB100) | v270(constB100)))),
% 79.89/51.76 inference(monotonicity,[status(thm)],[29092])).
% 79.89/51.76 tff(29094,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB100) | v270(constB100) | (~v267(constB100)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB100)) | v271(constB100) | v270(constB100))),
% 79.89/51.76 inference(transitivity,[status(thm)],[29093, 29091])).
% 79.89/51.76 tff(29095,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB100) | v270(constB100) | (~v267(constB100)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29096,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB100)) | v271(constB100) | v270(constB100)),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29095, 29094])).
% 79.89/51.76 tff(29097,plain,
% 79.89/51.76 ((~v267(constB100)) | v270(constB100)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29096, 12261, 29090])).
% 79.89/51.76 tff(29098,plain,
% 79.89/51.76 (~v267(constB100)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29097, 29086])).
% 79.89/51.76 tff(29099,plain,
% 79.89/51.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29100,plain,
% 79.89/51.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29101,plain,
% 79.89/51.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 79.89/51.76 tff(29102,plain,
% 79.89/51.76 (v267(constB100) | (~v269(constB101))),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29101, 12279, 12826])).
% 79.89/51.76 tff(29103,plain,
% 79.89/51.76 (~v269(constB101)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29102, 29098])).
% 79.89/51.76 tff(29104,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB101) | (~v282(constB101)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB101) | (~v282(constB101)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29105,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB101) | (~v282(constB101)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29106,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB101) | (~v282(constB101))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29105, 29104])).
% 79.89/51.76 tff(29107,plain,
% 79.89/51.76 (~v282(constB101)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29106, 12334, 29103])).
% 79.89/51.76 tff(29108,plain,
% 79.89/51.76 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB101)) | (~v281(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB101)) | (~v281(constB101)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29109,plain,
% 79.89/51.76 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB101)) | (~v281(constB101)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29110,plain,
% 79.89/51.76 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB101)) | (~v281(constB101))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29109, 29108])).
% 79.89/51.76 tff(29111,plain,
% 79.89/51.76 (~v281(constB101)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29110, 12345, 28504])).
% 79.89/51.76 tff(29112,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB101)) | v281(constB101) | v282(constB101))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB101)) | v281(constB101) | v282(constB101))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29113,plain,
% 79.89/51.76 ((v282(constB101) | v281(constB101) | (~v278(constB101))) <=> ((~v278(constB101)) | v281(constB101) | v282(constB101))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29114,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB101) | v281(constB101) | (~v278(constB101)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB101)) | v281(constB101) | v282(constB101)))),
% 79.89/51.76 inference(monotonicity,[status(thm)],[29113])).
% 79.89/51.76 tff(29115,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB101) | v281(constB101) | (~v278(constB101)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB101)) | v281(constB101) | v282(constB101))),
% 79.89/51.76 inference(transitivity,[status(thm)],[29114, 29112])).
% 79.89/51.76 tff(29116,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB101) | v281(constB101) | (~v278(constB101)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29117,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB101)) | v281(constB101) | v282(constB101)),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29116, 29115])).
% 79.89/51.76 tff(29118,plain,
% 79.89/51.76 ((~v278(constB101)) | v282(constB101)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29117, 12359, 29111])).
% 79.89/51.76 tff(29119,plain,
% 79.89/51.76 (~v278(constB101)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29118, 29107])).
% 79.89/51.76 tff(29120,plain,
% 79.89/51.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB101, constB102)) | v278(constB101) | (~v280(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB101, constB102)) | v278(constB101) | (~v280(constB102)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29121,plain,
% 79.89/51.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB101, constB102)) | v278(constB101) | (~v280(constB102)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29122,plain,
% 79.89/51.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB101, constB102)) | v278(constB101) | (~v280(constB102))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 79.89/51.76 tff(29123,plain,
% 79.89/51.76 (v278(constB101) | (~v280(constB102))),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29122, 12377, 12934])).
% 79.89/51.76 tff(29124,plain,
% 79.89/51.76 (~v280(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29123, 29119])).
% 79.89/51.76 tff(29125,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB102) | (~v281(constB102)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB102) | (~v281(constB102)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29126,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB102) | (~v281(constB102)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29127,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB102) | (~v281(constB102))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 79.89/51.76 tff(29128,plain,
% 79.89/51.76 (~v281(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29127, 12389, 29124])).
% 79.89/51.76 tff(29129,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB102) | (~v217(constB102)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB102) | (~v217(constB102)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29130,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB102) | (~v217(constB102)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29131,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB102) | (~v217(constB102))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29130, 29129])).
% 79.89/51.76 tff(29132,plain,
% 79.89/51.76 (~v217(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29131, 11245, 28529])).
% 79.89/51.76 tff(29133,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB102) | (~v216(constB102)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB102) | (~v216(constB102)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29134,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB102) | (~v216(constB102)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29135,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB102) | (~v216(constB102))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29134, 29133])).
% 79.89/51.76 tff(29136,plain,
% 79.89/51.76 (~v216(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29135, 11256, 29132])).
% 79.89/51.76 tff(29137,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB102) | (~v282(constB102)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB102) | (~v282(constB102)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29138,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB102) | (~v282(constB102)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29139,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB102) | (~v282(constB102))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29138, 29137])).
% 79.89/51.76 tff(29140,plain,
% 79.89/51.76 (~v282(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29139, 12400, 29136])).
% 79.89/51.76 tff(29141,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB102)) | v282(constB102) | v281(constB102))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB102)) | v282(constB102) | v281(constB102))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29142,plain,
% 79.89/51.76 ((v282(constB102) | v281(constB102) | (~v278(constB102))) <=> ((~v278(constB102)) | v282(constB102) | v281(constB102))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29143,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB102) | v281(constB102) | (~v278(constB102)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB102)) | v282(constB102) | v281(constB102)))),
% 79.89/51.76 inference(monotonicity,[status(thm)],[29142])).
% 79.89/51.76 tff(29144,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB102) | v281(constB102) | (~v278(constB102)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB102)) | v282(constB102) | v281(constB102))),
% 79.89/51.76 inference(transitivity,[status(thm)],[29143, 29141])).
% 79.89/51.76 tff(29145,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB102) | v281(constB102) | (~v278(constB102)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29146,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB102)) | v282(constB102) | v281(constB102)),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29145, 29144])).
% 79.89/51.76 tff(29147,plain,
% 79.89/51.76 ((~v278(constB102)) | v281(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29146, 12359, 29140])).
% 79.89/51.76 tff(29148,plain,
% 79.89/51.76 (~v278(constB102)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29147, 29128])).
% 79.89/51.76 tff(29149,plain,
% 79.89/51.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB102, constB103)) | v278(constB102) | (~v280(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB102, constB103)) | v278(constB102) | (~v280(constB103)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29150,plain,
% 79.89/51.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB102, constB103)) | v278(constB102) | (~v280(constB103)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29151,plain,
% 79.89/51.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB102, constB103)) | v278(constB102) | (~v280(constB103))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 79.89/51.76 tff(29152,plain,
% 79.89/51.76 (v278(constB102) | (~v280(constB103))),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29151, 12377, 12996])).
% 79.89/51.76 tff(29153,plain,
% 79.89/51.76 (~v280(constB103)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29152, 29148])).
% 79.89/51.76 tff(29154,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB103) | (~v309(constB103)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB103) | (~v309(constB103)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29155,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB103) | (~v309(constB103)))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29156,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB103) | (~v309(constB103))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 79.89/51.76 tff(29157,plain,
% 79.89/51.76 (~v309(constB103)),
% 79.89/51.76 inference(unit_resolution,[status(thm)],[29156, 12424, 29153])).
% 79.89/51.76 tff(29158,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB103) | v309(constB103) | (~v289(constB103)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB103) | v309(constB103) | (~v289(constB103)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29159,plain,
% 79.89/51.76 ((v309(constB103) | (~v289(constB103)) | v288(constB103)) <=> (v288(constB103) | v309(constB103) | (~v289(constB103)))),
% 79.89/51.76 inference(rewrite,[status(thm)],[])).
% 79.89/51.76 tff(29160,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB103) | (~v289(constB103)) | v288(constB103))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB103) | v309(constB103) | (~v289(constB103))))),
% 79.89/51.76 inference(monotonicity,[status(thm)],[29159])).
% 79.89/51.76 tff(29161,plain,
% 79.89/51.76 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB103) | (~v289(constB103)) | v288(constB103))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB103) | v309(constB103) | (~v289(constB103)))),
% 79.89/51.76 inference(transitivity,[status(thm)],[29160, 29158])).
% 79.89/51.76 tff(29162,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB103) | (~v289(constB103)) | v288(constB103))),
% 79.89/51.76 inference(quant_inst,[status(thm)],[])).
% 79.89/51.76 tff(29163,plain,
% 79.89/51.76 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB103) | v309(constB103) | (~v289(constB103))),
% 79.89/51.76 inference(modus_ponens,[status(thm)],[29162, 29161])).
% 79.89/51.77 tff(29164,plain,
% 79.89/51.77 (v288(constB103) | (~v289(constB103))),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29163, 12438, 29157])).
% 79.89/51.77 tff(29165,plain,
% 79.89/51.77 (v288(constB103)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29164, 29017])).
% 79.89/51.77 tff(29166,plain,
% 79.89/51.77 ($false),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29165, 28347])).
% 79.89/51.77 tff(29167,plain,((~(constB103 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 79.89/51.77 tff(29168,plain,
% 79.89/51.77 (~(constB103 = sK0_VarCurr)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29167, 1])).
% 79.89/51.77 tff(29169,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 79.89/51.77 tff(29170,plain,
% 79.89/51.77 (v288(constB171) <=> v288(sK0_VarCurr)),
% 79.89/51.77 inference(monotonicity,[status(thm)],[29169])).
% 79.89/51.77 tff(29171,plain,
% 79.89/51.77 (v288(sK0_VarCurr) <=> v288(constB171)),
% 79.89/51.77 inference(symmetry,[status(thm)],[29170])).
% 79.89/51.77 tff(29172,plain,
% 79.89/51.77 ((~v288(sK0_VarCurr)) <=> (~v288(constB171))),
% 79.89/51.77 inference(monotonicity,[status(thm)],[29171])).
% 79.89/51.77 tff(29173,plain,
% 79.89/51.77 (~v288(constB171)),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[1, 29172])).
% 79.89/51.77 tff(29174,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29175,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29176,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 79.89/51.77 tff(29177,plain,
% 79.89/51.77 (~v88(constB171, bitIndex2)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29176, 11467, 22037])).
% 79.89/51.77 tff(29178,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29179,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29180,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29179, 29178])).
% 79.89/51.77 tff(29181,plain,
% 79.89/51.77 (~v88(constB171, bitIndex1)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29180, 10918, 22073])).
% 79.89/51.77 tff(29182,plain,
% 79.89/51.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29183,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29184,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0)),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 79.89/51.77 tff(29185,plain,
% 79.89/51.77 (v88(constB171, bitIndex0)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29184, 11313, 22106])).
% 79.89/51.77 tff(29186,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v88(constB171, bitIndex2) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v88(constB171, bitIndex2) | v140(constB171))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29187,plain,
% 79.89/51.77 ((v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171)) <=> (v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v88(constB171, bitIndex2) | v140(constB171))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29188,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v88(constB171, bitIndex2) | v140(constB171)))),
% 79.89/51.77 inference(monotonicity,[status(thm)],[29187])).
% 79.89/51.77 tff(29189,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v88(constB171, bitIndex2) | v140(constB171))),
% 79.89/51.77 inference(transitivity,[status(thm)],[29188, 29186])).
% 79.89/51.77 tff(29190,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29191,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v88(constB171, bitIndex2) | v140(constB171)),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29190, 29189])).
% 79.89/51.77 tff(29192,plain,
% 79.89/51.77 (v140(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29191, 26164, 29185, 29181, 29177])).
% 79.89/51.77 tff(29193,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | (v229(constB171) | (~v140(constB171)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | v229(constB171) | (~v140(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29194,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | (v229(constB171) | (~v140(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29195,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v229(VarCurr) | (~v140(VarCurr)))) | v229(constB171) | (~v140(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29194, 29193])).
% 79.89/51.77 tff(29196,plain,
% 79.89/51.77 (v229(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29195, 26178, 29192])).
% 79.89/51.77 tff(29197,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB171) | (~v229(constB171)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB171) | (~v229(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29198,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB171) | (~v229(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29199,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB171) | (~v229(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29198, 29197])).
% 79.89/51.77 tff(29200,plain,
% 79.89/51.77 (v228(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29199, 26189, 29196])).
% 79.89/51.77 tff(29201,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB171) | (~v228(constB171)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB171) | (~v228(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29202,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB171) | (~v228(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29203,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB171) | (~v228(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29202, 29201])).
% 79.89/51.77 tff(29204,plain,
% 79.89/51.77 (v227(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29203, 11511, 29200])).
% 79.89/51.77 tff(29205,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB171) | (~v227(constB171)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB171) | (~v227(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29206,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB171) | (~v227(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29207,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB171) | (~v227(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29206, 29205])).
% 79.89/51.77 tff(29208,plain,
% 79.89/51.77 (v226(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29207, 10817, 29204])).
% 79.89/51.77 tff(29209,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | (v168(constB171) | (~v140(constB171)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | v168(constB171) | (~v140(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29210,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | (v168(constB171) | (~v140(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29211,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v168(VarCurr) | (~v140(VarCurr)))) | v168(constB171) | (~v140(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29210, 29209])).
% 79.89/51.77 tff(29212,plain,
% 79.89/51.77 (v168(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29211, 26208, 29192])).
% 79.89/51.77 tff(29213,plain,
% 79.89/51.77 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | (v161(constB171) | (~v168(constB171)) | (~v226(constB171)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB171) | (~v168(constB171)) | (~v226(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29214,plain,
% 79.89/51.77 (((~v226(constB171)) | (~v168(constB171)) | v161(constB171)) <=> (v161(constB171) | (~v168(constB171)) | (~v226(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29215,plain,
% 79.89/51.77 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB171)) | (~v168(constB171)) | v161(constB171))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | (v161(constB171) | (~v168(constB171)) | (~v226(constB171))))),
% 79.89/51.77 inference(monotonicity,[status(thm)],[29214])).
% 79.89/51.77 tff(29216,plain,
% 79.89/51.77 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB171)) | (~v168(constB171)) | v161(constB171))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB171) | (~v168(constB171)) | (~v226(constB171)))),
% 79.89/51.77 inference(transitivity,[status(thm)],[29215, 29213])).
% 79.89/51.77 tff(29217,plain,
% 79.89/51.77 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB171)) | (~v168(constB171)) | v161(constB171))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29218,plain,
% 79.89/51.77 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB171) | (~v168(constB171)) | (~v226(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29217, 29216])).
% 79.89/51.77 tff(29219,plain,
% 79.89/51.77 (v161(constB171) | (~v226(constB171))),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29218, 26222, 29212])).
% 79.89/51.77 tff(29220,plain,
% 79.89/51.77 (v161(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29219, 29208])).
% 79.89/51.77 tff(29221,plain,
% 79.89/51.77 (((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | ((~v161(constB171)) | (~v311(constB171)))) <=> ((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | (~v161(constB171)) | (~v311(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29222,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | ((~v161(constB171)) | (~v311(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29223,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | (~v161(constB171)) | (~v311(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 79.89/51.77 tff(29224,plain,
% 79.89/51.77 (~v311(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29223, 26237, 29220])).
% 79.89/51.77 tff(29225,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB171) | (~v310(constB171)))) <=> ((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB171) | (~v310(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29226,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB171) | (~v310(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29227,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB171) | (~v310(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 79.89/51.77 tff(29228,plain,
% 79.89/51.77 (~v310(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29227, 26248, 29224])).
% 79.89/51.77 tff(29229,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB171) | (~v309(constB171)))) <=> ((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB171) | (~v309(constB171)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29230,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB171) | (~v309(constB171)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29231,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB171) | (~v309(constB171))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29230, 29229])).
% 79.89/51.77 tff(29232,plain,
% 79.89/51.77 (~v309(constB171)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29231, 26259, 29228])).
% 79.89/51.77 tff(29233,plain,
% 79.89/51.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29234,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29235,plain,
% 79.89/51.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0))),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29234, 29233])).
% 79.89/51.77 tff(29236,plain,
% 79.89/51.77 (~v88(constB169, bitIndex0)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29235, 10755, 21941])).
% 79.89/51.77 tff(29237,plain,
% 79.89/51.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29238,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29239,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2)),
% 79.89/51.77 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 79.89/51.77 tff(29240,plain,
% 79.89/51.77 (v88(constB169, bitIndex2)),
% 79.89/51.77 inference(unit_resolution,[status(thm)],[29239, 10735, 21825])).
% 79.89/51.77 tff(29241,plain,
% 79.89/51.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 79.89/51.77 inference(rewrite,[status(thm)],[])).
% 79.89/51.77 tff(29242,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 79.89/51.77 inference(quant_inst,[status(thm)],[])).
% 79.89/51.77 tff(29243,plain,
% 79.89/51.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1)),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29242, 29241])).
% 79.89/51.78 tff(29244,plain,
% 79.89/51.78 (v88(constB169, bitIndex1)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29243, 10690, 21864])).
% 79.89/51.78 tff(29245,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB169) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB169) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29246,plain,
% 79.89/51.78 (((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169)) <=> (v144(constB169) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29247,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB169) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1))))),
% 79.89/51.78 inference(monotonicity,[status(thm)],[29246])).
% 79.89/51.78 tff(29248,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB169) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(transitivity,[status(thm)],[29247, 29245])).
% 79.89/51.78 tff(29249,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29250,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB169) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 79.89/51.78 tff(29251,plain,
% 79.89/51.78 (v144(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29250, 10769, 29244, 29240, 29236])).
% 79.89/51.78 tff(29252,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB169) | (~v144(constB169)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29253,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB169) | (~v144(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29254,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB169) | (~v144(constB169))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 79.89/51.78 tff(29255,plain,
% 79.89/51.78 (v142(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29254, 10784, 29251])).
% 79.89/51.78 tff(29256,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB169) | (~v142(constB169)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29257,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB169) | (~v142(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29258,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB169) | (~v142(constB169))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29257, 29256])).
% 79.89/51.78 tff(29259,plain,
% 79.89/51.78 (v227(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29258, 10806, 29255])).
% 79.89/51.78 tff(29260,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB169) | (~v227(constB169)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB169) | (~v227(constB169)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29261,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB169) | (~v227(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29262,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB169) | (~v227(constB169))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29261, 29260])).
% 79.89/51.78 tff(29263,plain,
% 79.89/51.78 (v226(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29262, 10817, 29259])).
% 79.89/51.78 tff(29264,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB169)) | (~v88(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB169)) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29265,plain,
% 79.89/51.78 (((~v88(constB169, bitIndex1)) | (~v139(constB169))) <=> ((~v139(constB169)) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29266,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v139(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB169)) | (~v88(constB169, bitIndex1))))),
% 79.89/51.78 inference(monotonicity,[status(thm)],[29265])).
% 79.89/51.78 tff(29267,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v139(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB169)) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(transitivity,[status(thm)],[29266, 29264])).
% 79.89/51.78 tff(29268,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v139(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29269,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB169)) | (~v88(constB169, bitIndex1))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29268, 29267])).
% 79.89/51.78 tff(29270,plain,
% 79.89/51.78 (~v139(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29269, 11863, 29244])).
% 79.89/51.78 tff(29271,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB169)) | (~v88(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB169)) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29272,plain,
% 79.89/51.78 (((~v88(constB169, bitIndex1)) | (~v140(constB169))) <=> ((~v140(constB169)) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29273,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v140(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB169)) | (~v88(constB169, bitIndex1))))),
% 79.89/51.78 inference(monotonicity,[status(thm)],[29272])).
% 79.89/51.78 tff(29274,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v140(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB169)) | (~v88(constB169, bitIndex1)))),
% 79.89/51.78 inference(transitivity,[status(thm)],[29273, 29271])).
% 79.89/51.78 tff(29275,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v140(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29276,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB169)) | (~v88(constB169, bitIndex1))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29275, 29274])).
% 79.89/51.78 tff(29277,plain,
% 79.89/51.78 (~v140(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29276, 11526, 29244])).
% 79.89/51.78 tff(29278,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v168(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB169) | v139(constB169) | (~v168(constB169)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29279,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v168(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29280,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB169) | v139(constB169) | (~v168(constB169))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29279, 29278])).
% 79.89/51.78 tff(29281,plain,
% 79.89/51.78 (~v168(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29280, 10907, 29277, 29270])).
% 79.89/51.78 tff(29282,plain,
% 79.89/51.78 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB169)) | (~v226(constB169)) | v168(constB169))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB169)) | (~v226(constB169)) | v168(constB169))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29283,plain,
% 79.89/51.78 ((v168(constB169) | (~v226(constB169)) | (~v161(constB169))) <=> ((~v161(constB169)) | (~v226(constB169)) | v168(constB169))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29284,plain,
% 79.89/51.78 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB169) | (~v226(constB169)) | (~v161(constB169)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB169)) | (~v226(constB169)) | v168(constB169)))),
% 79.89/51.78 inference(monotonicity,[status(thm)],[29283])).
% 79.89/51.78 tff(29285,plain,
% 79.89/51.78 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB169) | (~v226(constB169)) | (~v161(constB169)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB169)) | (~v226(constB169)) | v168(constB169))),
% 79.89/51.78 inference(transitivity,[status(thm)],[29284, 29282])).
% 79.89/51.78 tff(29286,plain,
% 79.89/51.78 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB169) | (~v226(constB169)) | (~v161(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29287,plain,
% 79.89/51.78 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB169)) | (~v226(constB169)) | v168(constB169)),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29286, 29285])).
% 79.89/51.78 tff(29288,plain,
% 79.89/51.78 ((~v161(constB169)) | (~v226(constB169))),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29287, 10975, 29281])).
% 79.89/51.78 tff(29289,plain,
% 79.89/51.78 (~v161(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29288, 29263])).
% 79.89/51.78 tff(29290,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB169) | (~v187(constB169)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB169) | (~v187(constB169)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29291,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB169) | (~v187(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29292,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB169) | (~v187(constB169))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29291, 29290])).
% 79.89/51.78 tff(29293,plain,
% 79.89/51.78 (~v187(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29292, 10989, 29289])).
% 79.89/51.78 tff(29294,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB169) | (~v185(constB169)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB169) | (~v185(constB169)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29295,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB169) | (~v185(constB169)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29296,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB169) | (~v185(constB169))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29295, 29294])).
% 79.89/51.78 tff(29297,plain,
% 79.89/51.78 (~v185(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29296, 11000, 29293])).
% 79.89/51.78 tff(29298,assumption,(v18(constB170)), introduced(assumption)).
% 79.89/51.78 tff(29299,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB170))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29300,plain,
% 79.89/51.78 ($false),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29299, 70, 29298])).
% 79.89/51.78 tff(29301,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 79.89/51.78 tff(29302,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29303,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29304,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29303, 29302])).
% 79.89/51.78 tff(29305,plain,
% 79.89/51.78 (v22(constB170)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29304, 83, 21989])).
% 79.89/51.78 tff(29306,plain,
% 79.89/51.78 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29307,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29308,plain,
% 79.89/51.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170)),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29307, 29306])).
% 79.89/51.78 tff(29309,plain,
% 79.89/51.78 ((~v19(constB170)) | v18(constB170)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29308, 97, 29305])).
% 79.89/51.78 tff(29310,plain,
% 79.89/51.78 (~v19(constB170)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29309, 29301])).
% 79.89/51.78 tff(29311,plain,
% 79.89/51.78 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29312,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29313,plain,
% 79.89/51.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 79.89/51.78 tff(29314,plain,
% 79.89/51.78 (v13(constB170)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29313, 112, 29310])).
% 79.89/51.78 tff(29315,plain,
% 79.89/51.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 79.89/51.78 inference(rewrite,[status(thm)],[])).
% 79.89/51.78 tff(29316,plain,
% 79.89/51.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 79.89/51.78 inference(quant_inst,[status(thm)],[])).
% 79.89/51.78 tff(29317,plain,
% 79.89/51.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169)),
% 79.89/51.78 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 79.89/51.78 tff(29318,plain,
% 79.89/51.78 ((~v13(constB170)) | v9(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29317, 129, 21902])).
% 79.89/51.78 tff(29319,plain,
% 79.89/51.78 (v9(constB169)),
% 79.89/51.78 inference(unit_resolution,[status(thm)],[29318, 29314])).
% 79.89/51.79 tff(29320,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v184(constB169))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB169) | (~v9(constB169)) | v184(constB169))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29321,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v184(constB169))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29322,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB169) | (~v9(constB169)) | v184(constB169)),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29321, 29320])).
% 79.89/51.79 tff(29323,plain,
% 79.89/51.79 ((~v9(constB169)) | v184(constB169)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29322, 11036, 21801])).
% 79.89/51.79 tff(29324,plain,
% 79.89/51.79 (v184(constB169)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29323, 29319])).
% 79.89/51.79 tff(29325,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB169) | (~v184(constB169)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB169) | (~v184(constB169)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29326,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB169) | (~v184(constB169)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29327,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB169) | (~v184(constB169))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29326, 29325])).
% 79.89/51.79 tff(29328,plain,
% 79.89/51.79 (v183(constB169)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29327, 11048, 29324])).
% 79.89/51.79 tff(29329,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB169)) | (~v181(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB169)) | (~v181(constB169)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29330,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB169)) | (~v181(constB169)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29331,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB169)) | (~v181(constB169))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 79.89/51.79 tff(29332,plain,
% 79.89/51.79 (~v181(constB169)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29331, 11059, 29328])).
% 79.89/51.79 tff(29333,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB169) | v185(constB169) | (~v178(constB169)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB169) | v185(constB169) | (~v178(constB169)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29334,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB169) | v185(constB169) | (~v178(constB169)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29335,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB169) | v185(constB169) | (~v178(constB169))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 79.89/51.79 tff(29336,plain,
% 79.89/51.79 (v185(constB169) | (~v178(constB169))),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29335, 11073, 29332])).
% 79.89/51.79 tff(29337,plain,
% 79.89/51.79 (~v178(constB169)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29336, 29297])).
% 79.89/51.79 tff(29338,plain,
% 79.89/51.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29339,plain,
% 79.89/51.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29340,plain,
% 79.89/51.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 79.89/51.79 tff(29341,plain,
% 79.89/51.79 (v178(constB169) | (~v180(constB170))),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29340, 11088, 21902])).
% 79.89/51.79 tff(29342,plain,
% 79.89/51.79 (~v180(constB170)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29341, 29337])).
% 79.89/51.79 tff(29343,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB170) | (~v181(constB170)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB170) | (~v181(constB170)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29344,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB170) | (~v181(constB170)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29345,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB170) | (~v181(constB170))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29344, 29343])).
% 79.89/51.79 tff(29346,plain,
% 79.89/51.79 (~v181(constB170)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29345, 11100, 29342])).
% 79.89/51.79 tff(29347,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB170)) | (~v184(constB170)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB170)) | (~v184(constB170)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29348,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB170)) | (~v184(constB170)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29349,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB170)) | (~v184(constB170))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29348, 29347])).
% 79.89/51.79 tff(29350,plain,
% 79.89/51.79 (~v184(constB170)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29349, 11111, 21989])).
% 79.89/51.79 tff(29351,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB170) | (~v187(constB170)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB170) | (~v187(constB170)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29352,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB170) | (~v187(constB170)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29353,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB170) | (~v187(constB170))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 79.89/51.79 tff(29354,plain,
% 79.89/51.79 (~v187(constB170)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29353, 11122, 29350])).
% 79.89/51.79 tff(29355,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB170) | (~v185(constB170)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB170) | (~v185(constB170)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29356,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB170) | (~v185(constB170)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29357,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB170) | (~v185(constB170))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 79.89/51.79 tff(29358,plain,
% 79.89/51.79 (~v185(constB170)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29357, 11000, 29354])).
% 79.89/51.79 tff(29359,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB170) | v185(constB170) | (~v178(constB170)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB170) | v185(constB170) | (~v178(constB170)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29360,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB170) | v185(constB170) | (~v178(constB170)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29361,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB170) | v185(constB170) | (~v178(constB170))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29360, 29359])).
% 79.89/51.79 tff(29362,plain,
% 79.89/51.79 (v181(constB170) | (~v178(constB170))),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29361, 11073, 29358])).
% 79.89/51.79 tff(29363,plain,
% 79.89/51.79 (~v178(constB170)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29362, 29346])).
% 79.89/51.79 tff(29364,plain,
% 79.89/51.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29365,plain,
% 79.89/51.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29366,plain,
% 79.89/51.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 79.89/51.79 tff(29367,plain,
% 79.89/51.79 (v178(constB170) | (~v180(constB171))),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29366, 11088, 22016])).
% 79.89/51.79 tff(29368,plain,
% 79.89/51.79 (~v180(constB171)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29367, 29363])).
% 79.89/51.79 tff(29369,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB171) | (~v293(constB171)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB171) | (~v293(constB171)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29370,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB171) | (~v293(constB171)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29371,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB171) | (~v293(constB171))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 79.89/51.79 tff(29372,plain,
% 79.89/51.79 (~v293(constB171)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29371, 11437, 29368])).
% 79.89/51.79 tff(29373,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29374,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29375,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2)),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 79.89/51.79 tff(29376,plain,
% 79.89/51.79 (v88(constB167, bitIndex2)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29375, 10735, 21697])).
% 79.89/51.79 tff(29377,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v140(constB167)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29378,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29379,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v140(constB167))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 79.89/51.79 tff(29380,plain,
% 79.89/51.79 (~v140(constB167)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29379, 10893, 29376])).
% 79.89/51.79 tff(29381,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29382,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29383,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0)),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 79.89/51.79 tff(29384,plain,
% 79.89/51.79 (v88(constB167, bitIndex0)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29383, 11313, 21706])).
% 79.89/51.79 tff(29385,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v139(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v139(constB167)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29386,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v139(constB167)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29387,plain,
% 79.89/51.79 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v139(constB167))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29386, 29385])).
% 79.89/51.79 tff(29388,plain,
% 79.89/51.79 (~v139(constB167)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29387, 11324, 29384])).
% 79.89/51.79 tff(29389,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v168(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB167) | v139(constB167) | (~v168(constB167)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29390,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v168(constB167)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29391,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB167) | v139(constB167) | (~v168(constB167))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29390, 29389])).
% 79.89/51.79 tff(29392,plain,
% 79.89/51.79 (v140(constB167) | (~v168(constB167))),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29391, 10907, 29388])).
% 79.89/51.79 tff(29393,plain,
% 79.89/51.79 (~v168(constB167)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29392, 29380])).
% 79.89/51.79 tff(29394,plain,
% 79.89/51.79 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29395,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 79.89/51.79 inference(quant_inst,[status(thm)],[])).
% 79.89/51.79 tff(29396,plain,
% 79.89/51.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1))),
% 79.89/51.79 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 79.89/51.79 tff(29397,plain,
% 79.89/51.79 (~v88(constB167, bitIndex1)),
% 79.89/51.79 inference(unit_resolution,[status(thm)],[29396, 10918, 21666])).
% 79.89/51.79 tff(29398,plain,
% 79.89/51.79 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex0)) | (~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB167, bitIndex0)) | (~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29399,plain,
% 79.89/51.79 (((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167)) <=> ((~v88(constB167, bitIndex0)) | (~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1))),
% 79.89/51.79 inference(rewrite,[status(thm)],[])).
% 79.89/51.79 tff(29400,plain,
% 79.89/51.80 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex0)) | (~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1)))),
% 79.89/51.80 inference(monotonicity,[status(thm)],[29399])).
% 79.89/51.80 tff(29401,plain,
% 79.89/51.80 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB167, bitIndex0)) | (~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1))),
% 79.89/51.80 inference(transitivity,[status(thm)],[29400, 29398])).
% 79.89/51.80 tff(29402,plain,
% 79.89/51.80 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))),
% 79.89/51.80 inference(quant_inst,[status(thm)],[])).
% 79.89/51.80 tff(29403,plain,
% 79.89/51.80 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB167, bitIndex0)) | (~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1)),
% 79.89/51.80 inference(modus_ponens,[status(thm)],[29402, 29401])).
% 79.89/51.80 tff(29404,plain,
% 79.89/51.80 ((~v88(constB167, bitIndex2)) | v147(constB167) | v88(constB167, bitIndex1)),
% 79.89/51.80 inference(unit_resolution,[status(thm)],[29403, 11353, 29384])).
% 79.89/51.80 tff(29405,plain,
% 79.89/51.80 (v147(constB167)),
% 79.89/51.80 inference(unit_resolution,[status(thm)],[29404, 29376, 29397])).
% 79.89/51.80 tff(29406,plain,
% 79.89/51.80 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB167) | (~v147(constB167)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB167) | (~v147(constB167)))),
% 79.89/51.80 inference(rewrite,[status(thm)],[])).
% 79.89/51.80 tff(29407,plain,
% 79.89/51.80 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB167) | (~v147(constB167)))),
% 79.89/51.80 inference(quant_inst,[status(thm)],[])).
% 79.89/51.80 tff(29408,plain,
% 79.89/51.80 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB167) | (~v147(constB167))),
% 79.89/51.80 inference(modus_ponens,[status(thm)],[29407, 29406])).
% 79.89/51.80 tff(29409,plain,
% 79.89/51.80 (v145(constB167)),
% 79.89/51.80 inference(unit_resolution,[status(thm)],[29408, 11368, 29405])).
% 79.89/51.80 tff(29410,plain,
% 79.89/51.80 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB167) | (~v145(constB167)))),
% 79.89/51.80 inference(rewrite,[status(thm)],[])).
% 79.89/51.80 tff(29411,plain,
% 79.89/51.80 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB167) | (~v145(constB167)))),
% 79.89/51.80 inference(quant_inst,[status(thm)],[])).
% 79.89/51.80 tff(29412,plain,
% 79.89/51.80 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB167) | (~v145(constB167))),
% 79.89/51.80 inference(modus_ponens,[status(thm)],[29411, 29410])).
% 79.89/51.80 tff(29413,plain,
% 79.89/51.80 (v226(constB167)),
% 79.89/51.80 inference(unit_resolution,[status(thm)],[29412, 10961, 29409])).
% 79.89/51.80 tff(29414,plain,
% 79.89/51.80 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB167)) | (~v226(constB167)) | v168(constB167))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB167)) | (~v226(constB167)) | v168(constB167))),
% 79.89/51.80 inference(rewrite,[status(thm)],[])).
% 79.89/51.80 tff(29415,plain,
% 79.89/51.80 ((v168(constB167) | (~v226(constB167)) | (~v161(constB167))) <=> ((~v161(constB167)) | (~v226(constB167)) | v168(constB167))),
% 79.89/51.80 inference(rewrite,[status(thm)],[])).
% 79.89/51.80 tff(29416,plain,
% 79.89/51.80 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB167) | (~v226(constB167)) | (~v161(constB167)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB167)) | (~v226(constB167)) | v168(constB167)))),
% 79.97/51.80 inference(monotonicity,[status(thm)],[29415])).
% 79.97/51.80 tff(29417,plain,
% 79.97/51.80 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB167) | (~v226(constB167)) | (~v161(constB167)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB167)) | (~v226(constB167)) | v168(constB167))),
% 79.97/51.80 inference(transitivity,[status(thm)],[29416, 29414])).
% 79.97/51.80 tff(29418,plain,
% 79.97/51.80 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB167) | (~v226(constB167)) | (~v161(constB167)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29419,plain,
% 79.97/51.80 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB167)) | (~v226(constB167)) | v168(constB167)),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 79.97/51.80 tff(29420,plain,
% 79.97/51.80 (~v161(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29419, 10975, 29413, 29393])).
% 79.97/51.80 tff(29421,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB167) | (~v187(constB167)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB167) | (~v187(constB167)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29422,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB167) | (~v187(constB167)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29423,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB167) | (~v187(constB167))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 79.97/51.80 tff(29424,plain,
% 79.97/51.80 (~v187(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29423, 10989, 29420])).
% 79.97/51.80 tff(29425,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29426,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29427,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29426, 29425])).
% 79.97/51.80 tff(29428,plain,
% 79.97/51.80 (~v185(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29427, 11000, 29424])).
% 79.97/51.80 tff(29429,assumption,(v18(constB168)), introduced(assumption)).
% 79.97/51.80 tff(29430,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB168))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29431,plain,
% 79.97/51.80 ($false),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29430, 70, 29429])).
% 79.97/51.80 tff(29432,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 79.97/51.80 tff(29433,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29434,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29435,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 79.97/51.80 tff(29436,plain,
% 79.97/51.80 (v22(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29435, 83, 21776])).
% 79.97/51.80 tff(29437,plain,
% 79.97/51.80 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29438,plain,
% 79.97/51.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29439,plain,
% 79.97/51.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168)),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29438, 29437])).
% 79.97/51.80 tff(29440,plain,
% 79.97/51.80 ((~v19(constB168)) | v18(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29439, 97, 29436])).
% 79.97/51.80 tff(29441,plain,
% 79.97/51.80 (~v19(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29440, 29432])).
% 79.97/51.80 tff(29442,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29443,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29444,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29443, 29442])).
% 79.97/51.80 tff(29445,plain,
% 79.97/51.80 (v13(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29444, 112, 29441])).
% 79.97/51.80 tff(29446,plain,
% 79.97/51.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29447,plain,
% 79.97/51.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29448,plain,
% 79.97/51.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167)),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 79.97/51.80 tff(29449,plain,
% 79.97/51.80 ((~v13(constB168)) | v9(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29448, 129, 21723])).
% 79.97/51.80 tff(29450,plain,
% 79.97/51.80 (v9(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29449, 29445])).
% 79.97/51.80 tff(29451,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29452,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29453,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167)),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29452, 29451])).
% 79.97/51.80 tff(29454,plain,
% 79.97/51.80 ((~v9(constB167)) | v184(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29453, 11036, 21642])).
% 79.97/51.80 tff(29455,plain,
% 79.97/51.80 (v184(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29454, 29450])).
% 79.97/51.80 tff(29456,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB167) | (~v184(constB167)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB167) | (~v184(constB167)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29457,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB167) | (~v184(constB167)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29458,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB167) | (~v184(constB167))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29457, 29456])).
% 79.97/51.80 tff(29459,plain,
% 79.97/51.80 (v183(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29458, 11048, 29455])).
% 79.97/51.80 tff(29460,plain,
% 79.97/51.80 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB167)) | (~v183(constB167)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29461,plain,
% 79.97/51.80 (((~v183(constB167)) | (~v181(constB167))) <=> ((~v181(constB167)) | (~v183(constB167)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29462,plain,
% 79.97/51.80 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB167)) | (~v181(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167))))),
% 79.97/51.80 inference(monotonicity,[status(thm)],[29461])).
% 79.97/51.80 tff(29463,plain,
% 79.97/51.80 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB167)) | (~v181(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB167)) | (~v183(constB167)))),
% 79.97/51.80 inference(transitivity,[status(thm)],[29462, 29460])).
% 79.97/51.80 tff(29464,plain,
% 79.97/51.80 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB167)) | (~v181(constB167)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29465,plain,
% 79.97/51.80 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB167)) | (~v183(constB167))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 79.97/51.80 tff(29466,plain,
% 79.97/51.80 (~v181(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29465, 11059, 29459])).
% 79.97/51.80 tff(29467,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29468,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29469,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29468, 29467])).
% 79.97/51.80 tff(29470,plain,
% 79.97/51.80 (v185(constB167) | (~v178(constB167))),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29469, 11073, 29466])).
% 79.97/51.80 tff(29471,plain,
% 79.97/51.80 (~v178(constB167)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29470, 29428])).
% 79.97/51.80 tff(29472,plain,
% 79.97/51.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29473,plain,
% 79.97/51.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29474,plain,
% 79.97/51.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 79.97/51.80 tff(29475,plain,
% 79.97/51.80 (v178(constB167) | (~v180(constB168))),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29474, 11088, 21723])).
% 79.97/51.80 tff(29476,plain,
% 79.97/51.80 (~v180(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29475, 29471])).
% 79.97/51.80 tff(29477,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29478,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29479,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29478, 29477])).
% 79.97/51.80 tff(29480,plain,
% 79.97/51.80 (~v181(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29479, 11100, 29476])).
% 79.97/51.80 tff(29481,plain,
% 79.97/51.80 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29482,plain,
% 79.97/51.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29483,plain,
% 79.97/51.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29482, 29481])).
% 79.97/51.80 tff(29484,plain,
% 79.97/51.80 (~v184(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29483, 11111, 21776])).
% 79.97/51.80 tff(29485,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29486,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29487,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29486, 29485])).
% 79.97/51.80 tff(29488,plain,
% 79.97/51.80 (~v187(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29487, 11122, 29484])).
% 79.97/51.80 tff(29489,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29490,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29491,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29490, 29489])).
% 79.97/51.80 tff(29492,plain,
% 79.97/51.80 (~v185(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29491, 11000, 29488])).
% 79.97/51.80 tff(29493,plain,
% 79.97/51.80 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29494,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29495,plain,
% 79.97/51.80 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29494, 29493])).
% 79.97/51.80 tff(29496,plain,
% 79.97/51.80 (v181(constB168) | (~v178(constB168))),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29495, 11073, 29492])).
% 79.97/51.80 tff(29497,plain,
% 79.97/51.80 (~v178(constB168)),
% 79.97/51.80 inference(unit_resolution,[status(thm)],[29496, 29480])).
% 79.97/51.80 tff(29498,plain,
% 79.97/51.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 79.97/51.80 inference(rewrite,[status(thm)],[])).
% 79.97/51.80 tff(29499,plain,
% 79.97/51.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 79.97/51.80 inference(quant_inst,[status(thm)],[])).
% 79.97/51.80 tff(29500,plain,
% 79.97/51.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169))),
% 79.97/51.80 inference(modus_ponens,[status(thm)],[29499, 29498])).
% 79.97/51.81 tff(29501,plain,
% 79.97/51.81 (v178(constB168) | (~v180(constB169))),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29500, 11088, 21804])).
% 79.97/51.81 tff(29502,plain,
% 79.97/51.81 (~v180(constB169)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29501, 29497])).
% 79.97/51.81 tff(29503,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB169) | (~v215(constB169)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB169) | (~v215(constB169)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29504,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB169) | (~v215(constB169)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29505,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB169) | (~v215(constB169))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29504, 29503])).
% 79.97/51.81 tff(29506,plain,
% 79.97/51.81 (~v215(constB169)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29505, 11147, 29502])).
% 79.97/51.81 tff(29507,plain,
% 79.97/51.81 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB169)) | (~v214(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB169)) | (~v214(constB169)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29508,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB169)) | (~v214(constB169)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29509,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB169)) | (~v214(constB169))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 79.97/51.81 tff(29510,plain,
% 79.97/51.81 (~v214(constB169)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29509, 11189, 29328])).
% 79.97/51.81 tff(29511,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB169) | v215(constB169) | (~v211(constB169)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB169) | v215(constB169) | (~v211(constB169)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29512,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB169) | v215(constB169) | (~v211(constB169)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29513,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB169) | v215(constB169) | (~v211(constB169))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29512, 29511])).
% 79.97/51.81 tff(29514,plain,
% 79.97/51.81 (v215(constB169) | (~v211(constB169))),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29513, 11203, 29510])).
% 79.97/51.81 tff(29515,plain,
% 79.97/51.81 (~v211(constB169)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29514, 29506])).
% 79.97/51.81 tff(29516,plain,
% 79.97/51.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB169, constB170)) | v211(constB169) | (~v213(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB169, constB170)) | v211(constB169) | (~v213(constB170)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29517,plain,
% 79.97/51.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB169, constB170)) | v211(constB169) | (~v213(constB170)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29518,plain,
% 79.97/51.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB169, constB170)) | v211(constB169) | (~v213(constB170))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 79.97/51.81 tff(29519,plain,
% 79.97/51.81 (v211(constB169) | (~v213(constB170))),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29518, 11218, 21902])).
% 79.97/51.81 tff(29520,plain,
% 79.97/51.81 (~v213(constB170)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29519, 29515])).
% 79.97/51.81 tff(29521,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB170) | (~v214(constB170)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB170) | (~v214(constB170)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29522,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB170) | (~v214(constB170)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29523,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB170) | (~v214(constB170))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 79.97/51.81 tff(29524,plain,
% 79.97/51.81 (~v214(constB170)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29523, 11230, 29520])).
% 79.97/51.81 tff(29525,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB170) | (~v217(constB170)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB170) | (~v217(constB170)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29526,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB170) | (~v217(constB170)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29527,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB170) | (~v217(constB170))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 79.97/51.81 tff(29528,plain,
% 79.97/51.81 (~v217(constB170)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29527, 11245, 29350])).
% 79.97/51.81 tff(29529,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB170) | (~v216(constB170)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB170) | (~v216(constB170)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29530,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB170) | (~v216(constB170)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29531,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB170) | (~v216(constB170))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 79.97/51.81 tff(29532,plain,
% 79.97/51.81 (~v216(constB170)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29531, 11256, 29528])).
% 79.97/51.81 tff(29533,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB170) | (~v215(constB170)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB170) | (~v215(constB170)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29534,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB170) | (~v215(constB170)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29535,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB170) | (~v215(constB170))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 79.97/51.81 tff(29536,plain,
% 79.97/51.81 (~v215(constB170)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29535, 11267, 29532])).
% 79.97/51.81 tff(29537,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB170) | v215(constB170) | (~v211(constB170)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB170) | v215(constB170) | (~v211(constB170)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29538,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB170) | v215(constB170) | (~v211(constB170)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29539,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB170) | v215(constB170) | (~v211(constB170))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29538, 29537])).
% 79.97/51.81 tff(29540,plain,
% 79.97/51.81 (v214(constB170) | (~v211(constB170))),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29539, 11203, 29536])).
% 79.97/51.81 tff(29541,plain,
% 79.97/51.81 (~v211(constB170)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29540, 29524])).
% 79.97/51.81 tff(29542,plain,
% 79.97/51.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB170, constB171)) | v211(constB170) | (~v213(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB170, constB171)) | v211(constB170) | (~v213(constB171)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29543,plain,
% 79.97/51.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB170, constB171)) | v211(constB170) | (~v213(constB171)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29544,plain,
% 79.97/51.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB170, constB171)) | v211(constB170) | (~v213(constB171))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 79.97/51.81 tff(29545,plain,
% 79.97/51.81 (v211(constB170) | (~v213(constB171))),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29544, 11218, 22016])).
% 79.97/51.81 tff(29546,plain,
% 79.97/51.81 (~v213(constB171)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29545, 29541])).
% 79.97/51.81 tff(29547,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB171) | (~v297(constB171)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB171) | (~v297(constB171)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29548,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB171) | (~v297(constB171)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29549,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB171) | (~v297(constB171))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29548, 29547])).
% 79.97/51.81 tff(29550,plain,
% 79.97/51.81 (~v297(constB171)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29549, 11288, 29546])).
% 79.97/51.81 tff(29551,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB171) | v297(constB171) | (~v292(constB171)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB171) | v297(constB171) | (~v292(constB171)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29552,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB171) | v297(constB171) | (~v292(constB171)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29553,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB171) | v297(constB171) | (~v292(constB171))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29552, 29551])).
% 79.97/51.81 tff(29554,plain,
% 79.97/51.81 (v293(constB171) | (~v292(constB171))),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29553, 11451, 29550])).
% 79.97/51.81 tff(29555,plain,
% 79.97/51.81 (~v292(constB171)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29554, 29372])).
% 79.97/51.81 tff(29556,plain,
% 79.97/51.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29557,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29558,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2)),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29557, 29556])).
% 79.97/51.81 tff(29559,plain,
% 79.97/51.81 (v88(constB165, bitIndex2)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29558, 10735, 21283])).
% 79.97/51.81 tff(29560,plain,
% 79.97/51.81 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v139(constB165)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v139(constB165)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29561,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v139(constB165)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29562,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v139(constB165))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29561, 29560])).
% 79.97/51.81 tff(29563,plain,
% 79.97/51.81 (~v139(constB165)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29562, 10882, 29559])).
% 79.97/51.81 tff(29564,plain,
% 79.97/51.81 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v140(constB165)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v140(constB165)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29565,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v140(constB165)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29566,plain,
% 79.97/51.81 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v140(constB165))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29565, 29564])).
% 79.97/51.81 tff(29567,plain,
% 79.97/51.81 (~v140(constB165)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29566, 10893, 29559])).
% 79.97/51.81 tff(29568,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29569,plain,
% 79.97/51.81 ((v140(constB165) | v139(constB165) | (~v168(constB165))) <=> (v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29570,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165))))),
% 79.97/51.81 inference(monotonicity,[status(thm)],[29569])).
% 79.97/51.81 tff(29571,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 79.97/51.81 inference(transitivity,[status(thm)],[29570, 29568])).
% 79.97/51.81 tff(29572,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29573,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29572, 29571])).
% 79.97/51.81 tff(29574,plain,
% 79.97/51.81 (~v168(constB165)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29573, 10907, 29567, 29563])).
% 79.97/51.81 tff(29575,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29576,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29577,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1))),
% 79.97/51.81 inference(modus_ponens,[status(thm)],[29576, 29575])).
% 79.97/51.81 tff(29578,plain,
% 79.97/51.81 (~v88(constB165, bitIndex1)),
% 79.97/51.81 inference(unit_resolution,[status(thm)],[29577, 10918, 21317])).
% 79.97/51.81 tff(29579,plain,
% 79.97/51.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))),
% 79.97/51.81 inference(rewrite,[status(thm)],[])).
% 79.97/51.81 tff(29580,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))),
% 79.97/51.81 inference(quant_inst,[status(thm)],[])).
% 79.97/51.81 tff(29581,plain,
% 79.97/51.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29580, 29579])).
% 79.97/51.82 tff(29582,plain,
% 79.97/51.82 (~v88(constB165, bitIndex0)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29581, 10755, 21351])).
% 79.97/51.82 tff(29583,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB165, bitIndex0) | (~v88(constB165, bitIndex2)) | v146(constB165) | v88(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB165, bitIndex0) | (~v88(constB165, bitIndex2)) | v146(constB165) | v88(constB165, bitIndex1))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29584,plain,
% 79.97/51.82 (((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165)) <=> (v88(constB165, bitIndex0) | (~v88(constB165, bitIndex2)) | v146(constB165) | v88(constB165, bitIndex1))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29585,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB165, bitIndex0) | (~v88(constB165, bitIndex2)) | v146(constB165) | v88(constB165, bitIndex1)))),
% 79.97/51.82 inference(monotonicity,[status(thm)],[29584])).
% 79.97/51.82 tff(29586,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB165, bitIndex0) | (~v88(constB165, bitIndex2)) | v146(constB165) | v88(constB165, bitIndex1))),
% 79.97/51.82 inference(transitivity,[status(thm)],[29585, 29583])).
% 79.97/51.82 tff(29587,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29588,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB165, bitIndex0) | (~v88(constB165, bitIndex2)) | v146(constB165) | v88(constB165, bitIndex1)),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29587, 29586])).
% 79.97/51.82 tff(29589,plain,
% 79.97/51.82 (v146(constB165)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29588, 10936, 29559, 29582, 29578])).
% 79.97/51.82 tff(29590,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB165) | (~v146(constB165)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB165) | (~v146(constB165)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29591,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB165) | (~v146(constB165)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29592,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB165) | (~v146(constB165))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29591, 29590])).
% 79.97/51.82 tff(29593,plain,
% 79.97/51.82 (v145(constB165)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29592, 10950, 29589])).
% 79.97/51.82 tff(29594,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB165) | (~v145(constB165)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB165) | (~v145(constB165)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29595,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB165) | (~v145(constB165)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29596,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB165) | (~v145(constB165))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29595, 29594])).
% 79.97/51.82 tff(29597,plain,
% 79.97/51.82 (v226(constB165)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29596, 10961, 29593])).
% 79.97/51.82 tff(29598,plain,
% 79.97/51.82 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB165)) | v168(constB165) | (~v226(constB165)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v226(constB165)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29599,plain,
% 79.97/51.82 ((v168(constB165) | (~v226(constB165)) | (~v161(constB165))) <=> ((~v161(constB165)) | v168(constB165) | (~v226(constB165)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29600,plain,
% 79.97/51.82 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB165) | (~v226(constB165)) | (~v161(constB165)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB165)) | v168(constB165) | (~v226(constB165))))),
% 79.97/51.82 inference(monotonicity,[status(thm)],[29599])).
% 79.97/51.82 tff(29601,plain,
% 79.97/51.82 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB165) | (~v226(constB165)) | (~v161(constB165)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v226(constB165)))),
% 79.97/51.82 inference(transitivity,[status(thm)],[29600, 29598])).
% 79.97/51.82 tff(29602,plain,
% 79.97/51.82 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB165) | (~v226(constB165)) | (~v161(constB165)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29603,plain,
% 79.97/51.82 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v226(constB165))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 79.97/51.82 tff(29604,plain,
% 79.97/51.82 (~v161(constB165)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29603, 10975, 29597, 29574])).
% 79.97/51.82 tff(29605,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB165) | (~v187(constB165)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB165) | (~v187(constB165)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29606,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB165) | (~v187(constB165)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29607,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB165) | (~v187(constB165))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29606, 29605])).
% 79.97/51.82 tff(29608,plain,
% 79.97/51.82 (~v187(constB165)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29607, 10989, 29604])).
% 79.97/51.82 tff(29609,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB165) | (~v185(constB165)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB165) | (~v185(constB165)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29610,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB165) | (~v185(constB165)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29611,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB165) | (~v185(constB165))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29610, 29609])).
% 79.97/51.82 tff(29612,plain,
% 79.97/51.82 (~v185(constB165)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29611, 11000, 29608])).
% 79.97/51.82 tff(29613,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29614,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29615,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 79.97/51.82 tff(29616,plain,
% 79.97/51.82 (~v88(constB163, bitIndex2)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29615, 11467, 21099])).
% 79.97/51.82 tff(29617,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29618,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29619,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1)),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29618, 29617])).
% 79.97/51.82 tff(29620,plain,
% 79.97/51.82 (v88(constB163, bitIndex1)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29619, 10690, 21130])).
% 79.97/51.82 tff(29621,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29622,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29623,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0)),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29622, 29621])).
% 79.97/51.82 tff(29624,plain,
% 79.97/51.82 (v88(constB163, bitIndex0)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29623, 11313, 21161])).
% 79.97/51.82 tff(29625,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB163, bitIndex0)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB163, bitIndex0)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29626,plain,
% 79.97/51.82 ((v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163)) <=> ((~v88(constB163, bitIndex0)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29627,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB163, bitIndex0)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163)))),
% 79.97/51.82 inference(monotonicity,[status(thm)],[29626])).
% 79.97/51.82 tff(29628,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB163, bitIndex0)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163))),
% 79.97/51.82 inference(transitivity,[status(thm)],[29627, 29625])).
% 79.97/51.82 tff(29629,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29630,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB163, bitIndex0)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163)),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29629, 29628])).
% 79.97/51.82 tff(29631,plain,
% 79.97/51.82 (v141(constB163)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29630, 11485, 29624, 29620, 29616])).
% 79.97/51.82 tff(29632,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB163) | (~v141(constB163)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29633,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB163) | (~v141(constB163)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29634,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB163) | (~v141(constB163))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29633, 29632])).
% 79.97/51.82 tff(29635,plain,
% 79.97/51.82 (v228(constB163)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29634, 11500, 29631])).
% 79.97/51.82 tff(29636,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB163) | (~v228(constB163)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB163) | (~v228(constB163)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29637,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB163) | (~v228(constB163)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29638,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB163) | (~v228(constB163))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29637, 29636])).
% 79.97/51.82 tff(29639,plain,
% 79.97/51.82 (v227(constB163)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29638, 11511, 29635])).
% 79.97/51.82 tff(29640,plain,
% 79.97/51.82 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB163) | (~v227(constB163)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB163) | (~v227(constB163)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29641,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB163) | (~v227(constB163)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29642,plain,
% 79.97/51.82 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB163) | (~v227(constB163))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29641, 29640])).
% 79.97/51.82 tff(29643,plain,
% 79.97/51.82 (v226(constB163)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29642, 10817, 29639])).
% 79.97/51.82 tff(29644,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB163, bitIndex1)) | (~v140(constB163)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB163, bitIndex1)) | (~v140(constB163)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29645,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB163, bitIndex1)) | (~v140(constB163)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29646,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB163, bitIndex1)) | (~v140(constB163))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29645, 29644])).
% 79.97/51.82 tff(29647,plain,
% 79.97/51.82 (~v140(constB163)),
% 79.97/51.82 inference(unit_resolution,[status(thm)],[29646, 11526, 29620])).
% 79.97/51.82 tff(29648,plain,
% 79.97/51.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB163, bitIndex0)) | (~v139(constB163)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB163, bitIndex0)) | (~v139(constB163)))),
% 79.97/51.82 inference(rewrite,[status(thm)],[])).
% 79.97/51.82 tff(29649,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB163, bitIndex0)) | (~v139(constB163)))),
% 79.97/51.82 inference(quant_inst,[status(thm)],[])).
% 79.97/51.82 tff(29650,plain,
% 79.97/51.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB163, bitIndex0)) | (~v139(constB163))),
% 79.97/51.82 inference(modus_ponens,[status(thm)],[29649, 29648])).
% 79.97/51.83 tff(29651,plain,
% 79.97/51.83 (~v139(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29650, 11324, 29624])).
% 79.97/51.83 tff(29652,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB163) | v139(constB163) | (~v168(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29653,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29654,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB163) | v139(constB163) | (~v168(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29653, 29652])).
% 79.97/51.83 tff(29655,plain,
% 79.97/51.83 (~v168(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29654, 10907, 29651, 29647])).
% 79.97/51.83 tff(29656,plain,
% 79.97/51.83 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB163)) | v168(constB163) | (~v226(constB163)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB163)) | v168(constB163) | (~v226(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29657,plain,
% 79.97/51.83 ((v168(constB163) | (~v226(constB163)) | (~v161(constB163))) <=> ((~v161(constB163)) | v168(constB163) | (~v226(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29658,plain,
% 79.97/51.83 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB163) | (~v226(constB163)) | (~v161(constB163)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB163)) | v168(constB163) | (~v226(constB163))))),
% 79.97/51.83 inference(monotonicity,[status(thm)],[29657])).
% 79.97/51.83 tff(29659,plain,
% 79.97/51.83 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB163) | (~v226(constB163)) | (~v161(constB163)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB163)) | v168(constB163) | (~v226(constB163)))),
% 79.97/51.83 inference(transitivity,[status(thm)],[29658, 29656])).
% 79.97/51.83 tff(29660,plain,
% 79.97/51.83 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB163) | (~v226(constB163)) | (~v161(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29661,plain,
% 79.97/51.83 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB163)) | v168(constB163) | (~v226(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 79.97/51.83 tff(29662,plain,
% 79.97/51.83 ((~v161(constB163)) | (~v226(constB163))),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29661, 10975, 29655])).
% 79.97/51.83 tff(29663,plain,
% 79.97/51.83 (~v161(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29662, 29643])).
% 79.97/51.83 tff(29664,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB163) | (~v187(constB163)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB163) | (~v187(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29665,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB163) | (~v187(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29666,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB163) | (~v187(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29665, 29664])).
% 79.97/51.83 tff(29667,plain,
% 79.97/51.83 (~v187(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29666, 10989, 29663])).
% 79.97/51.83 tff(29668,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB163) | (~v185(constB163)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB163) | (~v185(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29669,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB163) | (~v185(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29670,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB163) | (~v185(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29669, 29668])).
% 79.97/51.83 tff(29671,plain,
% 79.97/51.83 (~v185(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29670, 11000, 29667])).
% 79.97/51.83 tff(29672,assumption,(v18(constB164)), introduced(assumption)).
% 79.97/51.83 tff(29673,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB164))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29674,plain,
% 79.97/51.83 ($false),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29673, 70, 29672])).
% 79.97/51.83 tff(29675,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 79.97/51.83 tff(29676,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29677,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29678,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29677, 29676])).
% 79.97/51.83 tff(29679,plain,
% 79.97/51.83 (v22(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29678, 83, 21220])).
% 79.97/51.83 tff(29680,plain,
% 79.97/51.83 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB164)) | (~v22(constB164)) | v18(constB164))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB164)) | (~v22(constB164)) | v18(constB164))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29681,plain,
% 79.97/51.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB164)) | (~v22(constB164)) | v18(constB164))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29682,plain,
% 79.97/51.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB164)) | (~v22(constB164)) | v18(constB164)),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29681, 29680])).
% 79.97/51.83 tff(29683,plain,
% 79.97/51.83 ((~v19(constB164)) | v18(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29682, 97, 29679])).
% 79.97/51.83 tff(29684,plain,
% 79.97/51.83 (~v19(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29683, 29675])).
% 79.97/51.83 tff(29685,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29686,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29687,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29686, 29685])).
% 79.97/51.83 tff(29688,plain,
% 79.97/51.83 (v13(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29687, 112, 29684])).
% 79.97/51.83 tff(29689,plain,
% 79.97/51.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29690,plain,
% 79.97/51.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29691,plain,
% 79.97/51.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163)),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 79.97/51.83 tff(29692,plain,
% 79.97/51.83 ((~v13(constB164)) | v9(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29691, 129, 21200])).
% 79.97/51.83 tff(29693,plain,
% 79.97/51.83 (v9(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29692, 29688])).
% 79.97/51.83 tff(29694,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v184(constB163))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB163) | (~v9(constB163)) | v184(constB163))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29695,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v184(constB163))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29696,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB163) | (~v9(constB163)) | v184(constB163)),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 79.97/51.83 tff(29697,plain,
% 79.97/51.83 ((~v9(constB163)) | v184(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29696, 11036, 21075])).
% 79.97/51.83 tff(29698,plain,
% 79.97/51.83 (v184(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29697, 29693])).
% 79.97/51.83 tff(29699,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB163) | (~v184(constB163)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB163) | (~v184(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29700,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB163) | (~v184(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29701,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB163) | (~v184(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 79.97/51.83 tff(29702,plain,
% 79.97/51.83 (v183(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29701, 11048, 29698])).
% 79.97/51.83 tff(29703,plain,
% 79.97/51.83 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB163)) | (~v183(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB163)) | (~v183(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29704,plain,
% 79.97/51.83 (((~v183(constB163)) | (~v181(constB163))) <=> ((~v181(constB163)) | (~v183(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29705,plain,
% 79.97/51.83 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB163)) | (~v181(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB163)) | (~v183(constB163))))),
% 79.97/51.83 inference(monotonicity,[status(thm)],[29704])).
% 79.97/51.83 tff(29706,plain,
% 79.97/51.83 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB163)) | (~v181(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB163)) | (~v183(constB163)))),
% 79.97/51.83 inference(transitivity,[status(thm)],[29705, 29703])).
% 79.97/51.83 tff(29707,plain,
% 79.97/51.83 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB163)) | (~v181(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29708,plain,
% 79.97/51.83 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB163)) | (~v183(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 79.97/51.83 tff(29709,plain,
% 79.97/51.83 (~v181(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29708, 11059, 29702])).
% 79.97/51.83 tff(29710,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB163) | v185(constB163) | (~v178(constB163)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB163) | v185(constB163) | (~v178(constB163)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29711,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB163) | v185(constB163) | (~v178(constB163)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29712,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB163) | v185(constB163) | (~v178(constB163))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29711, 29710])).
% 79.97/51.83 tff(29713,plain,
% 79.97/51.83 (v185(constB163) | (~v178(constB163))),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29712, 11073, 29709])).
% 79.97/51.83 tff(29714,plain,
% 79.97/51.83 (~v178(constB163)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29713, 29671])).
% 79.97/51.83 tff(29715,plain,
% 79.97/51.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29716,plain,
% 79.97/51.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29717,plain,
% 79.97/51.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 79.97/51.83 tff(29718,plain,
% 79.97/51.83 (v178(constB163) | (~v180(constB164))),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29717, 11088, 21200])).
% 79.97/51.83 tff(29719,plain,
% 79.97/51.83 (~v180(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29718, 29714])).
% 79.97/51.83 tff(29720,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB164) | (~v181(constB164)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB164) | (~v181(constB164)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29721,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB164) | (~v181(constB164)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29722,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB164) | (~v181(constB164))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 79.97/51.83 tff(29723,plain,
% 79.97/51.83 (~v181(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29722, 11100, 29719])).
% 79.97/51.83 tff(29724,plain,
% 79.97/51.83 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB164)) | (~v184(constB164)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB164)) | (~v184(constB164)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29725,plain,
% 79.97/51.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB164)) | (~v184(constB164)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29726,plain,
% 79.97/51.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB164)) | (~v184(constB164))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 79.97/51.83 tff(29727,plain,
% 79.97/51.83 (~v184(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29726, 11111, 21220])).
% 79.97/51.83 tff(29728,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB164) | (~v187(constB164)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB164) | (~v187(constB164)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29729,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB164) | (~v187(constB164)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29730,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB164) | (~v187(constB164))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 79.97/51.83 tff(29731,plain,
% 79.97/51.83 (~v187(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29730, 11122, 29727])).
% 79.97/51.83 tff(29732,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB164) | (~v185(constB164)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB164) | (~v185(constB164)))),
% 79.97/51.83 inference(rewrite,[status(thm)],[])).
% 79.97/51.83 tff(29733,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB164) | (~v185(constB164)))),
% 79.97/51.83 inference(quant_inst,[status(thm)],[])).
% 79.97/51.83 tff(29734,plain,
% 79.97/51.83 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB164) | (~v185(constB164))),
% 79.97/51.83 inference(modus_ponens,[status(thm)],[29733, 29732])).
% 79.97/51.83 tff(29735,plain,
% 79.97/51.83 (~v185(constB164)),
% 79.97/51.83 inference(unit_resolution,[status(thm)],[29734, 11000, 29731])).
% 79.97/51.83 tff(29736,plain,
% 79.97/51.83 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB164) | v185(constB164) | (~v178(constB164)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB164) | v185(constB164) | (~v178(constB164)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29737,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB164) | v185(constB164) | (~v178(constB164)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29738,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB164) | v185(constB164) | (~v178(constB164))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29737, 29736])).
% 79.97/51.84 tff(29739,plain,
% 79.97/51.84 (v181(constB164) | (~v178(constB164))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29738, 11073, 29735])).
% 79.97/51.84 tff(29740,plain,
% 79.97/51.84 (~v178(constB164)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29739, 29723])).
% 79.97/51.84 tff(29741,plain,
% 79.97/51.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29742,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29743,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29742, 29741])).
% 79.97/51.84 tff(29744,plain,
% 79.97/51.84 (v178(constB164) | (~v180(constB165))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29743, 11088, 21262])).
% 79.97/51.84 tff(29745,plain,
% 79.97/51.84 (~v180(constB165)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29744, 29740])).
% 79.97/51.84 tff(29746,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB165) | (~v181(constB165)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB165) | (~v181(constB165)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29747,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB165) | (~v181(constB165)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29748,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB165) | (~v181(constB165))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29747, 29746])).
% 79.97/51.84 tff(29749,plain,
% 79.97/51.84 (~v181(constB165)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29748, 11100, 29745])).
% 79.97/51.84 tff(29750,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB165) | v185(constB165) | (~v178(constB165)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB165) | v185(constB165) | (~v178(constB165)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29751,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB165) | v185(constB165) | (~v178(constB165)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29752,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB165) | v185(constB165) | (~v178(constB165))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29751, 29750])).
% 79.97/51.84 tff(29753,plain,
% 79.97/51.84 (v185(constB165) | (~v178(constB165))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29752, 11073, 29749])).
% 79.97/51.84 tff(29754,plain,
% 79.97/51.84 (~v178(constB165)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29753, 29612])).
% 79.97/51.84 tff(29755,plain,
% 79.97/51.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29756,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29757,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 79.97/51.84 tff(29758,plain,
% 79.97/51.84 (v178(constB165) | (~v180(constB166))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29757, 11088, 21374])).
% 79.97/51.84 tff(29759,plain,
% 79.97/51.84 (~v180(constB166)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29758, 29754])).
% 79.97/51.84 tff(29760,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB166) | (~v181(constB166)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB166) | (~v181(constB166)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29761,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB166) | (~v181(constB166)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29762,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB166) | (~v181(constB166))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29761, 29760])).
% 79.97/51.84 tff(29763,plain,
% 79.97/51.84 (~v181(constB166)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29762, 11100, 29759])).
% 79.97/51.84 tff(29764,plain,
% 79.97/51.84 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB166)) | (~v184(constB166)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB166)) | (~v184(constB166)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29765,plain,
% 79.97/51.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB166)) | (~v184(constB166)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29766,plain,
% 79.97/51.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB166)) | (~v184(constB166))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29765, 29764])).
% 79.97/51.84 tff(29767,plain,
% 79.97/51.84 (~v184(constB166)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29766, 11111, 21493])).
% 79.97/51.84 tff(29768,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB166) | (~v187(constB166)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB166) | (~v187(constB166)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29769,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB166) | (~v187(constB166)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29770,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB166) | (~v187(constB166))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29769, 29768])).
% 79.97/51.84 tff(29771,plain,
% 79.97/51.84 (~v187(constB166)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29770, 11122, 29767])).
% 79.97/51.84 tff(29772,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB166) | (~v185(constB166)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB166) | (~v185(constB166)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29773,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB166) | (~v185(constB166)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29774,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB166) | (~v185(constB166))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29773, 29772])).
% 79.97/51.84 tff(29775,plain,
% 79.97/51.84 (~v185(constB166)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29774, 11000, 29771])).
% 79.97/51.84 tff(29776,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB166) | v185(constB166) | (~v178(constB166)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB166) | v185(constB166) | (~v178(constB166)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29777,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB166) | v185(constB166) | (~v178(constB166)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29778,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB166) | v185(constB166) | (~v178(constB166))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29777, 29776])).
% 79.97/51.84 tff(29779,plain,
% 79.97/51.84 (v181(constB166) | (~v178(constB166))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29778, 11073, 29775])).
% 79.97/51.84 tff(29780,plain,
% 79.97/51.84 (~v178(constB166)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29779, 29763])).
% 79.97/51.84 tff(29781,plain,
% 79.97/51.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29782,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29783,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29782, 29781])).
% 79.97/51.84 tff(29784,plain,
% 79.97/51.84 (v178(constB166) | (~v180(constB167))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29783, 11088, 21645])).
% 79.97/51.84 tff(29785,plain,
% 79.97/51.84 (~v180(constB167)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29784, 29780])).
% 79.97/51.84 tff(29786,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB167) | (~v215(constB167)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB167) | (~v215(constB167)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29787,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB167) | (~v215(constB167)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29788,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB167) | (~v215(constB167))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 79.97/51.84 tff(29789,plain,
% 79.97/51.84 (~v215(constB167)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29788, 11147, 29785])).
% 79.97/51.84 tff(29790,plain,
% 79.97/51.84 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB167)) | (~v214(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB167)) | (~v214(constB167)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29791,plain,
% 79.97/51.84 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB167)) | (~v214(constB167)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29792,plain,
% 79.97/51.84 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB167)) | (~v214(constB167))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29791, 29790])).
% 79.97/51.84 tff(29793,plain,
% 79.97/51.84 (~v214(constB167)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29792, 11189, 29459])).
% 79.97/51.84 tff(29794,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB167) | v215(constB167) | (~v211(constB167)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB167) | v215(constB167) | (~v211(constB167)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29795,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB167) | v215(constB167) | (~v211(constB167)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29796,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB167) | v215(constB167) | (~v211(constB167))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29795, 29794])).
% 79.97/51.84 tff(29797,plain,
% 79.97/51.84 (v215(constB167) | (~v211(constB167))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29796, 11203, 29793])).
% 79.97/51.84 tff(29798,plain,
% 79.97/51.84 (~v211(constB167)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29797, 29789])).
% 79.97/51.84 tff(29799,plain,
% 79.97/51.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29800,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29801,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 79.97/51.84 tff(29802,plain,
% 79.97/51.84 (v211(constB167) | (~v213(constB168))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29801, 11218, 21723])).
% 79.97/51.84 tff(29803,plain,
% 79.97/51.84 (~v213(constB168)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29802, 29798])).
% 79.97/51.84 tff(29804,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB168) | (~v214(constB168)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB168) | (~v214(constB168)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29805,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB168) | (~v214(constB168)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29806,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB168) | (~v214(constB168))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29805, 29804])).
% 79.97/51.84 tff(29807,plain,
% 79.97/51.84 (~v214(constB168)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29806, 11230, 29803])).
% 79.97/51.84 tff(29808,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB168) | (~v217(constB168)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB168) | (~v217(constB168)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29809,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB168) | (~v217(constB168)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29810,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB168) | (~v217(constB168))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 79.97/51.84 tff(29811,plain,
% 79.97/51.84 (~v217(constB168)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29810, 11245, 29484])).
% 79.97/51.84 tff(29812,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB168) | (~v216(constB168)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB168) | (~v216(constB168)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29813,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB168) | (~v216(constB168)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29814,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB168) | (~v216(constB168))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29813, 29812])).
% 79.97/51.84 tff(29815,plain,
% 79.97/51.84 (~v216(constB168)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29814, 11256, 29811])).
% 79.97/51.84 tff(29816,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB168) | (~v215(constB168)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB168) | (~v215(constB168)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29817,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB168) | (~v215(constB168)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29818,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB168) | (~v215(constB168))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 79.97/51.84 tff(29819,plain,
% 79.97/51.84 (~v215(constB168)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29818, 11267, 29815])).
% 79.97/51.84 tff(29820,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB168) | v215(constB168) | (~v211(constB168)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB168) | v215(constB168) | (~v211(constB168)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29821,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB168) | v215(constB168) | (~v211(constB168)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29822,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB168) | v215(constB168) | (~v211(constB168))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 79.97/51.84 tff(29823,plain,
% 79.97/51.84 (v214(constB168) | (~v211(constB168))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29822, 11203, 29819])).
% 79.97/51.84 tff(29824,plain,
% 79.97/51.84 (~v211(constB168)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29823, 29807])).
% 79.97/51.84 tff(29825,plain,
% 79.97/51.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29826,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29827,plain,
% 79.97/51.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29826, 29825])).
% 79.97/51.84 tff(29828,plain,
% 79.97/51.84 (v211(constB168) | (~v213(constB169))),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29827, 11218, 21804])).
% 79.97/51.84 tff(29829,plain,
% 79.97/51.84 (~v213(constB169)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29828, 29824])).
% 79.97/51.84 tff(29830,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB169) | (~v245(constB169)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB169) | (~v245(constB169)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29831,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB169) | (~v245(constB169)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29832,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB169) | (~v245(constB169))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29831, 29830])).
% 79.97/51.84 tff(29833,plain,
% 79.97/51.84 (~v245(constB169)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29832, 11683, 29829])).
% 79.97/51.84 tff(29834,plain,
% 79.97/51.84 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB169)) | (~v244(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB169)) | (~v244(constB169)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29835,plain,
% 79.97/51.84 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB169)) | (~v244(constB169)))),
% 79.97/51.84 inference(quant_inst,[status(thm)],[])).
% 79.97/51.84 tff(29836,plain,
% 79.97/51.84 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB169)) | (~v244(constB169))),
% 79.97/51.84 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 79.97/51.84 tff(29837,plain,
% 79.97/51.84 (~v244(constB169)),
% 79.97/51.84 inference(unit_resolution,[status(thm)],[29836, 11694, 29328])).
% 79.97/51.84 tff(29838,plain,
% 79.97/51.84 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB169) | v245(constB169) | (~v241(constB169)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB169) | v245(constB169) | (~v241(constB169)))),
% 79.97/51.84 inference(rewrite,[status(thm)],[])).
% 79.97/51.84 tff(29839,plain,
% 79.97/51.84 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB169) | v245(constB169) | (~v241(constB169)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29840,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB169) | v245(constB169) | (~v241(constB169))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29839, 29838])).
% 79.97/51.85 tff(29841,plain,
% 79.97/51.85 (v245(constB169) | (~v241(constB169))),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29840, 11708, 29837])).
% 79.97/51.85 tff(29842,plain,
% 79.97/51.85 (~v241(constB169)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29841, 29833])).
% 79.97/51.85 tff(29843,plain,
% 79.97/51.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB169, constB170)) | v241(constB169) | (~v243(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB169, constB170)) | v241(constB169) | (~v243(constB170)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29844,plain,
% 79.97/51.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB169, constB170)) | v241(constB169) | (~v243(constB170)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29845,plain,
% 79.97/51.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB169, constB170)) | v241(constB169) | (~v243(constB170))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29844, 29843])).
% 79.97/51.85 tff(29846,plain,
% 79.97/51.85 (v241(constB169) | (~v243(constB170))),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29845, 11723, 21902])).
% 79.97/51.85 tff(29847,plain,
% 79.97/51.85 (~v243(constB170)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29846, 29842])).
% 79.97/51.85 tff(29848,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB170) | (~v244(constB170)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB170) | (~v244(constB170)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29849,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB170) | (~v244(constB170)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29850,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB170) | (~v244(constB170))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 79.97/51.85 tff(29851,plain,
% 79.97/51.85 (~v244(constB170)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29850, 11735, 29847])).
% 79.97/51.85 tff(29852,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB170) | (~v247(constB170)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB170) | (~v247(constB170)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29853,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB170) | (~v247(constB170)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29854,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB170) | (~v247(constB170))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 79.97/51.85 tff(29855,plain,
% 79.97/51.85 (~v247(constB170)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29854, 11746, 29350])).
% 79.97/51.85 tff(29856,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB170) | (~v246(constB170)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB170) | (~v246(constB170)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29857,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB170) | (~v246(constB170)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29858,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB170) | (~v246(constB170))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 79.97/51.85 tff(29859,plain,
% 79.97/51.85 (~v246(constB170)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29858, 11757, 29855])).
% 79.97/51.85 tff(29860,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB170) | (~v245(constB170)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB170) | (~v245(constB170)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29861,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB170) | (~v245(constB170)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29862,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB170) | (~v245(constB170))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 79.97/51.85 tff(29863,plain,
% 79.97/51.85 (~v245(constB170)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29862, 11768, 29859])).
% 79.97/51.85 tff(29864,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB170) | v245(constB170) | (~v241(constB170)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB170) | v245(constB170) | (~v241(constB170)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29865,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB170) | v245(constB170) | (~v241(constB170)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29866,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB170) | v245(constB170) | (~v241(constB170))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29865, 29864])).
% 79.97/51.85 tff(29867,plain,
% 79.97/51.85 (v244(constB170) | (~v241(constB170))),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29866, 11708, 29863])).
% 79.97/51.85 tff(29868,plain,
% 79.97/51.85 (~v241(constB170)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29867, 29851])).
% 79.97/51.85 tff(29869,plain,
% 79.97/51.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB170, constB171)) | v241(constB170) | (~v243(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB170, constB171)) | v241(constB170) | (~v243(constB171)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29870,plain,
% 79.97/51.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB170, constB171)) | v241(constB170) | (~v243(constB171)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29871,plain,
% 79.97/51.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB170, constB171)) | v241(constB170) | (~v243(constB171))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29870, 29869])).
% 79.97/51.85 tff(29872,plain,
% 79.97/51.85 (v241(constB170) | (~v243(constB171))),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29871, 11723, 22016])).
% 79.97/51.85 tff(29873,plain,
% 79.97/51.85 (~v243(constB171)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29872, 29868])).
% 79.97/51.85 tff(29874,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB171) | (~v302(constB171)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB171) | (~v302(constB171)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29875,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB171) | (~v302(constB171)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29876,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB171) | (~v302(constB171))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29875, 29874])).
% 79.97/51.85 tff(29877,plain,
% 79.97/51.85 (~v302(constB171)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29876, 11789, 29873])).
% 79.97/51.85 tff(29878,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB171) | v302(constB171) | v290(constB171))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB171) | v302(constB171) | v290(constB171))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29879,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB171) | v302(constB171) | v290(constB171))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29880,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB171) | v302(constB171) | v290(constB171)),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 79.97/51.85 tff(29881,plain,
% 79.97/51.85 (v292(constB171) | v290(constB171)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29880, 11803, 29877])).
% 79.97/51.85 tff(29882,plain,
% 79.97/51.85 (v290(constB171)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29881, 29555])).
% 79.97/51.85 tff(29883,assumption,(v18(constB166)), introduced(assumption)).
% 79.97/51.85 tff(29884,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB166))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29885,plain,
% 79.97/51.85 ($false),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29884, 70, 29883])).
% 79.97/51.85 tff(29886,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 79.97/51.85 tff(29887,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29888,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29889,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29888, 29887])).
% 79.97/51.85 tff(29890,plain,
% 79.97/51.85 (v22(constB166)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29889, 83, 21493])).
% 79.97/51.85 tff(29891,plain,
% 79.97/51.85 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29892,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29893,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166)),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29892, 29891])).
% 79.97/51.85 tff(29894,plain,
% 79.97/51.85 ((~v19(constB166)) | v18(constB166)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29893, 97, 29890])).
% 79.97/51.85 tff(29895,plain,
% 79.97/51.85 (~v19(constB166)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29894, 29886])).
% 79.97/51.85 tff(29896,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29897,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29898,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29897, 29896])).
% 79.97/51.85 tff(29899,plain,
% 79.97/51.85 (v13(constB166)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29898, 112, 29895])).
% 79.97/51.85 tff(29900,plain,
% 79.97/51.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29901,plain,
% 79.97/51.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29902,plain,
% 79.97/51.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165)),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29901, 29900])).
% 79.97/51.85 tff(29903,plain,
% 79.97/51.85 ((~v13(constB166)) | v9(constB165)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29902, 129, 21374])).
% 79.97/51.85 tff(29904,plain,
% 79.97/51.85 (v9(constB165)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29903, 29899])).
% 79.97/51.85 tff(29905,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v184(constB165))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB165) | (~v9(constB165)) | v184(constB165))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29906,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v184(constB165))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29907,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB165) | (~v9(constB165)) | v184(constB165)),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29906, 29905])).
% 79.97/51.85 tff(29908,plain,
% 79.97/51.85 ((~v9(constB165)) | v184(constB165)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29907, 11036, 21259])).
% 79.97/51.85 tff(29909,plain,
% 79.97/51.85 (v184(constB165)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29908, 29904])).
% 79.97/51.85 tff(29910,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB165) | (~v184(constB165)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB165) | (~v184(constB165)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29911,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB165) | (~v184(constB165)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29912,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB165) | (~v184(constB165))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 79.97/51.85 tff(29913,plain,
% 79.97/51.85 (v183(constB165)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29912, 11048, 29909])).
% 79.97/51.85 tff(29914,plain,
% 79.97/51.85 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB165)) | (~v244(constB165)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB165)) | (~v244(constB165)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29915,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB165)) | (~v244(constB165)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29916,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB165)) | (~v244(constB165))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29915, 29914])).
% 79.97/51.85 tff(29917,plain,
% 79.97/51.85 (~v244(constB165)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29916, 11694, 29913])).
% 79.97/51.85 tff(29918,plain,
% 79.97/51.85 (^[VarCurr: $i] : refl(((~v148(VarCurr)) | (~v228(VarCurr))) <=> ((~v148(VarCurr)) | (~v228(VarCurr))))),
% 79.97/51.85 inference(bind,[status(th)],[])).
% 79.97/51.85 tff(29919,plain,
% 79.97/51.85 (![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr))) <=> ![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))),
% 79.97/51.85 inference(quant_intro,[status(thm)],[29918])).
% 79.97/51.85 tff(29920,plain,
% 79.97/51.85 (![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr))) <=> ![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29921,axiom,(![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1_1_1')).
% 79.97/51.85 tff(29922,plain,
% 79.97/51.85 (![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29921, 29920])).
% 79.97/51.85 tff(29923,plain,(
% 79.97/51.85 ![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))),
% 79.97/51.85 inference(skolemize,[status(sab)],[29922])).
% 79.97/51.85 tff(29924,plain,
% 79.97/51.85 (![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29923, 29919])).
% 79.97/51.85 tff(29925,plain,
% 79.97/51.85 (((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB163)) | (~v228(constB163)))) <=> ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB163)) | (~v228(constB163)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29926,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB163)) | (~v228(constB163)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29927,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB163)) | (~v228(constB163))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 79.97/51.85 tff(29928,plain,
% 79.97/51.85 (~v148(constB163)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29927, 29924, 29635])).
% 79.97/51.85 tff(29929,plain,
% 79.97/51.85 (((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB163) | (~v226(constB163)) | (~v86(constB163)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB163) | (~v226(constB163)) | (~v86(constB163)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29930,plain,
% 79.97/51.85 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB163) | (~v226(constB163)) | (~v86(constB163)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29931,plain,
% 79.97/51.85 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB163) | (~v226(constB163)) | (~v86(constB163))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29930, 29929])).
% 79.97/51.85 tff(29932,plain,
% 79.97/51.85 (~v86(constB163)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29931, 20266, 29643, 29928])).
% 79.97/51.85 tff(29933,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB163) | (~v217(constB163)))) <=> ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB163) | (~v217(constB163)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29934,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB163) | (~v217(constB163)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29935,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB163) | (~v217(constB163))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29934, 29933])).
% 79.97/51.85 tff(29936,plain,
% 79.97/51.85 (~v217(constB163)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29935, 20278, 29932])).
% 79.97/51.85 tff(29937,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB163) | (~v216(constB163)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB163) | (~v216(constB163)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29938,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB163) | (~v216(constB163)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29939,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB163) | (~v216(constB163))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29938, 29937])).
% 79.97/51.85 tff(29940,plain,
% 79.97/51.85 (~v216(constB163)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29939, 11256, 29936])).
% 79.97/51.85 tff(29941,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB163) | (~v215(constB163)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB163) | (~v215(constB163)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29942,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB163) | (~v215(constB163)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29943,plain,
% 79.97/51.85 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB163) | (~v215(constB163))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29942, 29941])).
% 79.97/51.85 tff(29944,plain,
% 79.97/51.85 (~v215(constB163)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29943, 11267, 29940])).
% 79.97/51.85 tff(29945,plain,
% 79.97/51.85 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB163)) | (~v214(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB163)) | (~v214(constB163)))),
% 79.97/51.85 inference(rewrite,[status(thm)],[])).
% 79.97/51.85 tff(29946,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB163)) | (~v214(constB163)))),
% 79.97/51.85 inference(quant_inst,[status(thm)],[])).
% 79.97/51.85 tff(29947,plain,
% 79.97/51.85 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB163)) | (~v214(constB163))),
% 79.97/51.85 inference(modus_ponens,[status(thm)],[29946, 29945])).
% 79.97/51.85 tff(29948,plain,
% 79.97/51.85 (~v214(constB163)),
% 79.97/51.85 inference(unit_resolution,[status(thm)],[29947, 11189, 29702])).
% 79.97/51.85 tff(29949,plain,
% 79.97/51.85 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB163) | v215(constB163) | (~v211(constB163)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB163) | v215(constB163) | (~v211(constB163)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29950,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB163) | v215(constB163) | (~v211(constB163)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29951,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB163) | v215(constB163) | (~v211(constB163))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29950, 29949])).
% 79.97/51.86 tff(29952,plain,
% 79.97/51.86 (v215(constB163) | (~v211(constB163))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29951, 11203, 29948])).
% 79.97/51.86 tff(29953,plain,
% 79.97/51.86 (~v211(constB163)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29952, 29944])).
% 79.97/51.86 tff(29954,plain,
% 79.97/51.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB163, constB164)) | v211(constB163) | (~v213(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB163, constB164)) | v211(constB163) | (~v213(constB164)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29955,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB163, constB164)) | v211(constB163) | (~v213(constB164)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29956,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB163, constB164)) | v211(constB163) | (~v213(constB164))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29955, 29954])).
% 79.97/51.86 tff(29957,plain,
% 79.97/51.86 (v211(constB163) | (~v213(constB164))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29956, 11218, 21200])).
% 79.97/51.86 tff(29958,plain,
% 79.97/51.86 (~v213(constB164)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29957, 29953])).
% 79.97/51.86 tff(29959,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB164) | (~v214(constB164)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB164) | (~v214(constB164)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29960,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB164) | (~v214(constB164)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29961,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB164) | (~v214(constB164))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29960, 29959])).
% 79.97/51.86 tff(29962,plain,
% 79.97/51.86 (~v214(constB164)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29961, 11230, 29958])).
% 79.97/51.86 tff(29963,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB164) | (~v217(constB164)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB164) | (~v217(constB164)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29964,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB164) | (~v217(constB164)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29965,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB164) | (~v217(constB164))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29964, 29963])).
% 79.97/51.86 tff(29966,plain,
% 79.97/51.86 (~v217(constB164)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29965, 11245, 29727])).
% 79.97/51.86 tff(29967,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB164) | (~v216(constB164)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB164) | (~v216(constB164)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29968,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB164) | (~v216(constB164)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29969,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB164) | (~v216(constB164))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29968, 29967])).
% 79.97/51.86 tff(29970,plain,
% 79.97/51.86 (~v216(constB164)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29969, 11256, 29966])).
% 79.97/51.86 tff(29971,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB164) | (~v215(constB164)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB164) | (~v215(constB164)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29972,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB164) | (~v215(constB164)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29973,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB164) | (~v215(constB164))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29972, 29971])).
% 79.97/51.86 tff(29974,plain,
% 79.97/51.86 (~v215(constB164)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29973, 11267, 29970])).
% 79.97/51.86 tff(29975,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB164) | v215(constB164) | (~v211(constB164)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB164) | v215(constB164) | (~v211(constB164)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29976,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB164) | v215(constB164) | (~v211(constB164)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29977,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB164) | v215(constB164) | (~v211(constB164))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29976, 29975])).
% 79.97/51.86 tff(29978,plain,
% 79.97/51.86 (v214(constB164) | (~v211(constB164))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29977, 11203, 29974])).
% 79.97/51.86 tff(29979,plain,
% 79.97/51.86 (~v211(constB164)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29978, 29962])).
% 79.97/51.86 tff(29980,plain,
% 79.97/51.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB164, constB165)) | v211(constB164) | (~v213(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB164, constB165)) | v211(constB164) | (~v213(constB165)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29981,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB164, constB165)) | v211(constB164) | (~v213(constB165)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29982,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB164, constB165)) | v211(constB164) | (~v213(constB165))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29981, 29980])).
% 79.97/51.86 tff(29983,plain,
% 79.97/51.86 (v211(constB164) | (~v213(constB165))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29982, 11218, 21262])).
% 79.97/51.86 tff(29984,plain,
% 79.97/51.86 (~v213(constB165)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29983, 29979])).
% 79.97/51.86 tff(29985,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB165) | (~v245(constB165)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB165) | (~v245(constB165)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29986,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB165) | (~v245(constB165)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29987,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB165) | (~v245(constB165))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 79.97/51.86 tff(29988,plain,
% 79.97/51.86 (~v245(constB165)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29987, 11683, 29984])).
% 79.97/51.86 tff(29989,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB165) | v245(constB165) | (~v241(constB165)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB165) | v245(constB165) | (~v241(constB165)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29990,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB165) | v245(constB165) | (~v241(constB165)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29991,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB165) | v245(constB165) | (~v241(constB165))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29990, 29989])).
% 79.97/51.86 tff(29992,plain,
% 79.97/51.86 (v244(constB165) | (~v241(constB165))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29991, 11708, 29988])).
% 79.97/51.86 tff(29993,plain,
% 79.97/51.86 (~v241(constB165)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29992, 29917])).
% 79.97/51.86 tff(29994,plain,
% 79.97/51.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB165, constB166)) | v241(constB165) | (~v243(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB165, constB166)) | v241(constB165) | (~v243(constB166)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(29995,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB165, constB166)) | v241(constB165) | (~v243(constB166)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(29996,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB165, constB166)) | v241(constB165) | (~v243(constB166))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 79.97/51.86 tff(29997,plain,
% 79.97/51.86 (v241(constB165) | (~v243(constB166))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29996, 11723, 21374])).
% 79.97/51.86 tff(29998,plain,
% 79.97/51.86 (~v243(constB166)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[29997, 29993])).
% 79.97/51.86 tff(29999,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB166) | (~v244(constB166)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB166) | (~v244(constB166)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30000,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB166) | (~v244(constB166)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30001,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB166) | (~v244(constB166))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 79.97/51.86 tff(30002,plain,
% 79.97/51.86 (~v244(constB166)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30001, 11735, 29998])).
% 79.97/51.86 tff(30003,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB166) | (~v247(constB166)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB166) | (~v247(constB166)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30004,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB166) | (~v247(constB166)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30005,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB166) | (~v247(constB166))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30004, 30003])).
% 79.97/51.86 tff(30006,plain,
% 79.97/51.86 (~v247(constB166)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30005, 11746, 29767])).
% 79.97/51.86 tff(30007,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB166) | (~v246(constB166)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB166) | (~v246(constB166)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30008,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB166) | (~v246(constB166)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30009,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB166) | (~v246(constB166))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30008, 30007])).
% 79.97/51.86 tff(30010,plain,
% 79.97/51.86 (~v246(constB166)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30009, 11757, 30006])).
% 79.97/51.86 tff(30011,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB166) | (~v245(constB166)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB166) | (~v245(constB166)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30012,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB166) | (~v245(constB166)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30013,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB166) | (~v245(constB166))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 79.97/51.86 tff(30014,plain,
% 79.97/51.86 (~v245(constB166)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30013, 11768, 30010])).
% 79.97/51.86 tff(30015,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB166) | v245(constB166) | (~v241(constB166)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB166) | v245(constB166) | (~v241(constB166)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30016,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB166) | v245(constB166) | (~v241(constB166)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30017,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB166) | v245(constB166) | (~v241(constB166))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30016, 30015])).
% 79.97/51.86 tff(30018,plain,
% 79.97/51.86 (v244(constB166) | (~v241(constB166))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30017, 11708, 30014])).
% 79.97/51.86 tff(30019,plain,
% 79.97/51.86 (~v241(constB166)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30018, 30002])).
% 79.97/51.86 tff(30020,plain,
% 79.97/51.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB166, constB167)) | v241(constB166) | (~v243(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB166, constB167)) | v241(constB166) | (~v243(constB167)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30021,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB166, constB167)) | v241(constB166) | (~v243(constB167)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30022,plain,
% 79.97/51.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB166, constB167)) | v241(constB166) | (~v243(constB167))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 79.97/51.86 tff(30023,plain,
% 79.97/51.86 (v241(constB166) | (~v243(constB167))),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30022, 11723, 21645])).
% 79.97/51.86 tff(30024,plain,
% 79.97/51.86 (~v243(constB167)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30023, 30019])).
% 79.97/51.86 tff(30025,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB167) | (~v260(constB167)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB167) | (~v260(constB167)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30026,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB167) | (~v260(constB167)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30027,plain,
% 79.97/51.86 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB167) | (~v260(constB167))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30026, 30025])).
% 79.97/51.86 tff(30028,plain,
% 79.97/51.86 (~v260(constB167)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30027, 12130, 30024])).
% 79.97/51.86 tff(30029,plain,
% 79.97/51.86 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB167)) | (~v259(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB167)) | (~v259(constB167)))),
% 79.97/51.86 inference(rewrite,[status(thm)],[])).
% 79.97/51.86 tff(30030,plain,
% 79.97/51.86 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB167)) | (~v259(constB167)))),
% 79.97/51.86 inference(quant_inst,[status(thm)],[])).
% 79.97/51.86 tff(30031,plain,
% 79.97/51.86 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB167)) | (~v259(constB167))),
% 79.97/51.86 inference(modus_ponens,[status(thm)],[30030, 30029])).
% 79.97/51.86 tff(30032,plain,
% 79.97/51.86 (~v259(constB167)),
% 79.97/51.86 inference(unit_resolution,[status(thm)],[30031, 12141, 29459])).
% 79.97/51.86 tff(30033,plain,
% 79.97/51.86 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB167) | v260(constB167) | (~v256(constB167)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB167) | v260(constB167) | (~v256(constB167)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30034,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB167) | v260(constB167) | (~v256(constB167)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30035,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB167) | v260(constB167) | (~v256(constB167))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 79.97/51.87 tff(30036,plain,
% 79.97/51.87 (v260(constB167) | (~v256(constB167))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30035, 12155, 30032])).
% 79.97/51.87 tff(30037,plain,
% 79.97/51.87 (~v256(constB167)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30036, 30028])).
% 79.97/51.87 tff(30038,plain,
% 79.97/51.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB167, constB168)) | v256(constB167) | (~v258(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB167, constB168)) | v256(constB167) | (~v258(constB168)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30039,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB167, constB168)) | v256(constB167) | (~v258(constB168)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30040,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB167, constB168)) | v256(constB167) | (~v258(constB168))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 79.97/51.87 tff(30041,plain,
% 79.97/51.87 (v256(constB167) | (~v258(constB168))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30040, 12170, 21723])).
% 79.97/51.87 tff(30042,plain,
% 79.97/51.87 (~v258(constB168)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30041, 30037])).
% 79.97/51.87 tff(30043,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB168) | (~v259(constB168)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB168) | (~v259(constB168)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30044,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB168) | (~v259(constB168)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30045,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB168) | (~v259(constB168))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 79.97/51.87 tff(30046,plain,
% 79.97/51.87 (~v259(constB168)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30045, 12182, 30042])).
% 79.97/51.87 tff(30047,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB168) | (~v262(constB168)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB168) | (~v262(constB168)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30048,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB168) | (~v262(constB168)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30049,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB168) | (~v262(constB168))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30048, 30047])).
% 79.97/51.87 tff(30050,plain,
% 79.97/51.87 (~v262(constB168)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30049, 12193, 29484])).
% 79.97/51.87 tff(30051,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB168) | (~v261(constB168)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB168) | (~v261(constB168)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30052,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB168) | (~v261(constB168)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30053,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB168) | (~v261(constB168))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30052, 30051])).
% 79.97/51.87 tff(30054,plain,
% 79.97/51.87 (~v261(constB168)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30053, 12204, 30050])).
% 79.97/51.87 tff(30055,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB168) | (~v260(constB168)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB168) | (~v260(constB168)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30056,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB168) | (~v260(constB168)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30057,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB168) | (~v260(constB168))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30056, 30055])).
% 79.97/51.87 tff(30058,plain,
% 79.97/51.87 (~v260(constB168)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30057, 12215, 30054])).
% 79.97/51.87 tff(30059,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB168) | v260(constB168) | (~v256(constB168)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB168) | v260(constB168) | (~v256(constB168)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30060,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB168) | v260(constB168) | (~v256(constB168)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30061,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB168) | v260(constB168) | (~v256(constB168))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30060, 30059])).
% 79.97/51.87 tff(30062,plain,
% 79.97/51.87 (v259(constB168) | (~v256(constB168))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30061, 12155, 30058])).
% 79.97/51.87 tff(30063,plain,
% 79.97/51.87 (~v256(constB168)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30062, 30046])).
% 79.97/51.87 tff(30064,plain,
% 79.97/51.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB168, constB169)) | v256(constB168) | (~v258(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB168, constB169)) | v256(constB168) | (~v258(constB169)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30065,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB168, constB169)) | v256(constB168) | (~v258(constB169)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30066,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB168, constB169)) | v256(constB168) | (~v258(constB169))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30065, 30064])).
% 79.97/51.87 tff(30067,plain,
% 79.97/51.87 (v256(constB168) | (~v258(constB169))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30066, 12170, 21804])).
% 79.97/51.87 tff(30068,plain,
% 79.97/51.87 (~v258(constB169)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30067, 30063])).
% 79.97/51.87 tff(30069,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB169) | (~v271(constB169)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB169) | (~v271(constB169)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30070,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB169) | (~v271(constB169)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30071,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB169) | (~v271(constB169))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30070, 30069])).
% 79.97/51.87 tff(30072,plain,
% 79.97/51.87 (~v271(constB169)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30071, 12236, 30068])).
% 79.97/51.87 tff(30073,plain,
% 79.97/51.87 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB169)) | (~v270(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB169)) | (~v270(constB169)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30074,plain,
% 79.97/51.87 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB169)) | (~v270(constB169)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30075,plain,
% 79.97/51.87 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB169)) | (~v270(constB169))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30074, 30073])).
% 79.97/51.87 tff(30076,plain,
% 79.97/51.87 (~v270(constB169)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30075, 12247, 29328])).
% 79.97/51.87 tff(30077,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB169)) | v270(constB169) | v271(constB169))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB169)) | v270(constB169) | v271(constB169))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30078,plain,
% 79.97/51.87 ((v271(constB169) | v270(constB169) | (~v267(constB169))) <=> ((~v267(constB169)) | v270(constB169) | v271(constB169))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30079,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB169) | v270(constB169) | (~v267(constB169)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB169)) | v270(constB169) | v271(constB169)))),
% 79.97/51.87 inference(monotonicity,[status(thm)],[30078])).
% 79.97/51.87 tff(30080,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB169) | v270(constB169) | (~v267(constB169)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB169)) | v270(constB169) | v271(constB169))),
% 79.97/51.87 inference(transitivity,[status(thm)],[30079, 30077])).
% 79.97/51.87 tff(30081,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB169) | v270(constB169) | (~v267(constB169)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30082,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB169)) | v270(constB169) | v271(constB169)),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 79.97/51.87 tff(30083,plain,
% 79.97/51.87 ((~v267(constB169)) | v271(constB169)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30082, 12261, 30076])).
% 79.97/51.87 tff(30084,plain,
% 79.97/51.87 (~v267(constB169)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30083, 30072])).
% 79.97/51.87 tff(30085,plain,
% 79.97/51.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB169, constB170)) | v267(constB169) | (~v269(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB169, constB170)) | v267(constB169) | (~v269(constB170)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30086,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB169, constB170)) | v267(constB169) | (~v269(constB170)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30087,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB169, constB170)) | v267(constB169) | (~v269(constB170))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30086, 30085])).
% 79.97/51.87 tff(30088,plain,
% 79.97/51.87 (v267(constB169) | (~v269(constB170))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30087, 12279, 21902])).
% 79.97/51.87 tff(30089,plain,
% 79.97/51.87 (~v269(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30088, 30084])).
% 79.97/51.87 tff(30090,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB170) | (~v270(constB170)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB170) | (~v270(constB170)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30091,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB170) | (~v270(constB170)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30092,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB170) | (~v270(constB170))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30091, 30090])).
% 79.97/51.87 tff(30093,plain,
% 79.97/51.87 (~v270(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30092, 12291, 30089])).
% 79.97/51.87 tff(30094,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB170) | (~v262(constB170)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB170) | (~v262(constB170)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30095,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB170) | (~v262(constB170)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30096,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB170) | (~v262(constB170))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30095, 30094])).
% 79.97/51.87 tff(30097,plain,
% 79.97/51.87 (~v262(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30096, 12193, 29350])).
% 79.97/51.87 tff(30098,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB170) | (~v261(constB170)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB170) | (~v261(constB170)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30099,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB170) | (~v261(constB170)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30100,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB170) | (~v261(constB170))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 79.97/51.87 tff(30101,plain,
% 79.97/51.87 (~v261(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30100, 12204, 30097])).
% 79.97/51.87 tff(30102,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB170) | (~v271(constB170)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB170) | (~v271(constB170)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30103,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB170) | (~v271(constB170)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30104,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB170) | (~v271(constB170))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30103, 30102])).
% 79.97/51.87 tff(30105,plain,
% 79.97/51.87 (~v271(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30104, 12310, 30101])).
% 79.97/51.87 tff(30106,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB170)) | v271(constB170) | v270(constB170))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB170)) | v271(constB170) | v270(constB170))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30107,plain,
% 79.97/51.87 ((v271(constB170) | v270(constB170) | (~v267(constB170))) <=> ((~v267(constB170)) | v271(constB170) | v270(constB170))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30108,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB170) | v270(constB170) | (~v267(constB170)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB170)) | v271(constB170) | v270(constB170)))),
% 79.97/51.87 inference(monotonicity,[status(thm)],[30107])).
% 79.97/51.87 tff(30109,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB170) | v270(constB170) | (~v267(constB170)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB170)) | v271(constB170) | v270(constB170))),
% 79.97/51.87 inference(transitivity,[status(thm)],[30108, 30106])).
% 79.97/51.87 tff(30110,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB170) | v270(constB170) | (~v267(constB170)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30111,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB170)) | v271(constB170) | v270(constB170)),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 79.97/51.87 tff(30112,plain,
% 79.97/51.87 ((~v267(constB170)) | v270(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30111, 12261, 30105])).
% 79.97/51.87 tff(30113,plain,
% 79.97/51.87 (~v267(constB170)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30112, 30093])).
% 79.97/51.87 tff(30114,plain,
% 79.97/51.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB170, constB171)) | v267(constB170) | (~v269(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB170, constB171)) | v267(constB170) | (~v269(constB171)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30115,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB170, constB171)) | v267(constB170) | (~v269(constB171)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30116,plain,
% 79.97/51.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB170, constB171)) | v267(constB170) | (~v269(constB171))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30115, 30114])).
% 79.97/51.87 tff(30117,plain,
% 79.97/51.87 (v267(constB170) | (~v269(constB171))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30116, 12279, 22016])).
% 79.97/51.87 tff(30118,plain,
% 79.97/51.87 (~v269(constB171)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30117, 30113])).
% 79.97/51.87 tff(30119,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB171) | (~v307(constB171)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB171) | (~v307(constB171)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30120,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB171) | (~v307(constB171)))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30121,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB171) | (~v307(constB171))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30120, 30119])).
% 79.97/51.87 tff(30122,plain,
% 79.97/51.87 (~v307(constB171)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30121, 20510, 30118])).
% 79.97/51.87 tff(30123,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB171) | v307(constB171) | (~v290(constB171)))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB171) | v307(constB171) | (~v290(constB171)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30124,plain,
% 79.97/51.87 ((v307(constB171) | (~v290(constB171)) | v289(constB171)) <=> (v289(constB171) | v307(constB171) | (~v290(constB171)))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30125,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB171) | (~v290(constB171)) | v289(constB171))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB171) | v307(constB171) | (~v290(constB171))))),
% 79.97/51.87 inference(monotonicity,[status(thm)],[30124])).
% 79.97/51.87 tff(30126,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB171) | (~v290(constB171)) | v289(constB171))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB171) | v307(constB171) | (~v290(constB171)))),
% 79.97/51.87 inference(transitivity,[status(thm)],[30125, 30123])).
% 79.97/51.87 tff(30127,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB171) | (~v290(constB171)) | v289(constB171))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30128,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB171) | v307(constB171) | (~v290(constB171))),
% 79.97/51.87 inference(modus_ponens,[status(thm)],[30127, 30126])).
% 79.97/51.87 tff(30129,plain,
% 79.97/51.87 (v289(constB171) | (~v290(constB171))),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30128, 11821, 30122])).
% 79.97/51.87 tff(30130,plain,
% 79.97/51.87 (v289(constB171)),
% 79.97/51.87 inference(unit_resolution,[status(thm)],[30129, 29882])).
% 79.97/51.87 tff(30131,plain,
% 79.97/51.87 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB171) | (~v289(constB171)) | v288(constB171))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB171) | (~v289(constB171)) | v288(constB171))),
% 79.97/51.87 inference(rewrite,[status(thm)],[])).
% 79.97/51.87 tff(30132,plain,
% 79.97/51.87 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB171) | (~v289(constB171)) | v288(constB171))),
% 79.97/51.87 inference(quant_inst,[status(thm)],[])).
% 79.97/51.87 tff(30133,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB171) | (~v289(constB171)) | v288(constB171)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30132, 30131])).
% 80.05/51.88 tff(30134,plain,
% 80.05/51.88 (v309(constB171) | v288(constB171)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30133, 12438, 30130])).
% 80.05/51.88 tff(30135,plain,
% 80.05/51.88 (v288(constB171)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30134, 29232])).
% 80.05/51.88 tff(30136,plain,
% 80.05/51.88 ($false),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30135, 29173])).
% 80.05/51.88 tff(30137,plain,((~(constB171 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.88 tff(30138,plain,
% 80.05/51.88 (~(constB171 = sK0_VarCurr)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30137, 1])).
% 80.05/51.88 tff(30139,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 80.05/51.88 tff(30140,plain,
% 80.05/51.88 (v288(constB0) <=> v288(sK0_VarCurr)),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30139])).
% 80.05/51.88 tff(30141,plain,
% 80.05/51.88 (v288(sK0_VarCurr) <=> v288(constB0)),
% 80.05/51.88 inference(symmetry,[status(thm)],[30140])).
% 80.05/51.88 tff(30142,plain,
% 80.05/51.88 ((~v288(sK0_VarCurr)) <=> (~v288(constB0))),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30141])).
% 80.05/51.88 tff(30143,plain,
% 80.05/51.88 (~v288(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[1, 30142])).
% 80.05/51.88 tff(30144,plain,
% 80.05/51.88 ((~v213(constB0)) <=> (~v213(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30145,axiom,(~v213(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_9_1_1_1')).
% 80.05/51.88 tff(30146,plain,
% 80.05/51.88 (~v213(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30145, 30144])).
% 80.05/51.88 tff(30147,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB0) | (~v297(constB0)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB0) | (~v297(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30148,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB0) | (~v297(constB0)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30149,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB0) | (~v297(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30148, 30147])).
% 80.05/51.88 tff(30150,plain,
% 80.05/51.88 (~v297(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30149, 30146, 11288])).
% 80.05/51.88 tff(30151,plain,
% 80.05/51.88 ((~v180(constB0)) <=> (~v180(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30152,axiom,(~v180(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 80.05/51.88 tff(30153,plain,
% 80.05/51.88 (~v180(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30152, 30151])).
% 80.05/51.88 tff(30154,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB0) | (~v293(constB0)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB0) | (~v293(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30155,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB0) | (~v293(constB0)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30156,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB0) | (~v293(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30155, 30154])).
% 80.05/51.88 tff(30157,plain,
% 80.05/51.88 (~v293(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30156, 30153, 11437])).
% 80.05/51.88 tff(30158,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB0) | v297(constB0) | (~v292(constB0)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB0) | v297(constB0) | (~v292(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30159,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB0) | v297(constB0) | (~v292(constB0)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30160,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB0) | v297(constB0) | (~v292(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 80.05/51.88 tff(30161,plain,
% 80.05/51.88 (~v292(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30160, 11451, 30157, 30150])).
% 80.05/51.88 tff(30162,plain,
% 80.05/51.88 ((~v243(constB0)) <=> (~v243(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30163,axiom,(~v243(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_11_1_1_1')).
% 80.05/51.88 tff(30164,plain,
% 80.05/51.88 (~v243(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 80.05/51.88 tff(30165,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB0) | (~v302(constB0)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB0) | (~v302(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30166,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB0) | (~v302(constB0)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30167,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB0) | (~v302(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30166, 30165])).
% 80.05/51.88 tff(30168,plain,
% 80.05/51.88 (~v302(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30167, 30164, 11789])).
% 80.05/51.88 tff(30169,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB0) | v292(constB0) | v290(constB0))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB0) | v292(constB0) | v290(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30170,plain,
% 80.05/51.88 ((v292(constB0) | v302(constB0) | v290(constB0)) <=> (v302(constB0) | v292(constB0) | v290(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30171,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB0) | v302(constB0) | v290(constB0))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB0) | v292(constB0) | v290(constB0)))),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30170])).
% 80.05/51.88 tff(30172,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB0) | v302(constB0) | v290(constB0))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB0) | v292(constB0) | v290(constB0))),
% 80.05/51.88 inference(transitivity,[status(thm)],[30171, 30169])).
% 80.05/51.88 tff(30173,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB0) | v302(constB0) | v290(constB0))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30174,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB0) | v292(constB0) | v290(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 80.05/51.88 tff(30175,plain,
% 80.05/51.88 (v290(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30174, 11803, 30168, 30161])).
% 80.05/51.88 tff(30176,plain,
% 80.05/51.88 ((~v269(constB0)) <=> (~v269(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30177,axiom,(~v269(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_13_1_1_1')).
% 80.05/51.88 tff(30178,plain,
% 80.05/51.88 (~v269(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 80.05/51.88 tff(30179,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB0) | (~v307(constB0)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB0) | (~v307(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30180,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB0) | (~v307(constB0)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30181,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB0) | (~v307(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30180, 30179])).
% 80.05/51.88 tff(30182,plain,
% 80.05/51.88 (~v307(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30181, 30178, 20510])).
% 80.05/51.88 tff(30183,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB0) | (~v290(constB0)) | v289(constB0))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB0) | (~v290(constB0)) | v289(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30184,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB0) | (~v290(constB0)) | v289(constB0))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30185,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB0) | (~v290(constB0)) | v289(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 80.05/51.88 tff(30186,plain,
% 80.05/51.88 (v289(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30185, 11821, 30182, 30175])).
% 80.05/51.88 tff(30187,plain,
% 80.05/51.88 ((~v280(constB0)) <=> (~v280(constB0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30188,axiom,(~v280(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_14_1_1_1')).
% 80.05/51.88 tff(30189,plain,
% 80.05/51.88 (~v280(constB0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 80.05/51.88 tff(30190,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB0) | (~v309(constB0)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB0) | (~v309(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30191,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB0) | (~v309(constB0)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30192,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB0) | (~v309(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30191, 30190])).
% 80.05/51.88 tff(30193,plain,
% 80.05/51.88 (~v309(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30192, 30189, 12424])).
% 80.05/51.88 tff(30194,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB0) | v288(constB0) | (~v289(constB0)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB0) | v288(constB0) | (~v289(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30195,plain,
% 80.05/51.88 ((v309(constB0) | (~v289(constB0)) | v288(constB0)) <=> (v309(constB0) | v288(constB0) | (~v289(constB0)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30196,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB0) | (~v289(constB0)) | v288(constB0))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB0) | v288(constB0) | (~v289(constB0))))),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30195])).
% 80.05/51.88 tff(30197,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB0) | (~v289(constB0)) | v288(constB0))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB0) | v288(constB0) | (~v289(constB0)))),
% 80.05/51.88 inference(transitivity,[status(thm)],[30196, 30194])).
% 80.05/51.88 tff(30198,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB0) | (~v289(constB0)) | v288(constB0))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30199,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB0) | v288(constB0) | (~v289(constB0))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30198, 30197])).
% 80.05/51.88 tff(30200,plain,
% 80.05/51.88 (v288(constB0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30199, 12438, 30193, 30186])).
% 80.05/51.88 tff(30201,plain,
% 80.05/51.88 ($false),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30200, 30143])).
% 80.05/51.88 tff(30202,plain,((~(constB0 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.88 tff(30203,plain,
% 80.05/51.88 (~(constB0 = sK0_VarCurr)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30202, 1])).
% 80.05/51.88 tff(30204,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 80.05/51.88 tff(30205,plain,
% 80.05/51.88 (v288(constB117) <=> v288(sK0_VarCurr)),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30204])).
% 80.05/51.88 tff(30206,plain,
% 80.05/51.88 (v288(sK0_VarCurr) <=> v288(constB117)),
% 80.05/51.88 inference(symmetry,[status(thm)],[30205])).
% 80.05/51.88 tff(30207,plain,
% 80.05/51.88 ((~v288(sK0_VarCurr)) <=> (~v288(constB117))),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30206])).
% 80.05/51.88 tff(30208,plain,
% 80.05/51.88 (~v288(constB117)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[1, 30207])).
% 80.05/51.88 tff(30209,plain,
% 80.05/51.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30210,plain,
% 80.05/51.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30211,plain,
% 80.05/51.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30210, 30209])).
% 80.05/51.88 tff(30212,plain,
% 80.05/51.88 (v88(constB115, bitIndex1)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30211, 10690, 14798])).
% 80.05/51.88 tff(30213,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30214,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30215,plain,
% 80.05/51.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2))),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 80.05/51.88 tff(30216,plain,
% 80.05/51.88 (~v88(constB115, bitIndex2)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30215, 11467, 14832])).
% 80.05/51.88 tff(30217,plain,
% 80.05/51.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30218,plain,
% 80.05/51.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 80.05/51.88 inference(quant_inst,[status(thm)],[])).
% 80.05/51.88 tff(30219,plain,
% 80.05/51.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0)),
% 80.05/51.88 inference(modus_ponens,[status(thm)],[30218, 30217])).
% 80.05/51.88 tff(30220,plain,
% 80.05/51.88 (v88(constB115, bitIndex0)),
% 80.05/51.88 inference(unit_resolution,[status(thm)],[30219, 11313, 14841])).
% 80.05/51.88 tff(30221,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30222,plain,
% 80.05/51.88 ((v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115)) <=> ((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 80.05/51.88 inference(rewrite,[status(thm)],[])).
% 80.05/51.88 tff(30223,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)) | v141(constB115)))),
% 80.05/51.88 inference(monotonicity,[status(thm)],[30222])).
% 80.05/51.88 tff(30224,plain,
% 80.05/51.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 80.05/51.89 inference(transitivity,[status(thm)],[30223, 30221])).
% 80.05/51.89 tff(30225,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30226,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)) | v141(constB115)),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30225, 30224])).
% 80.05/51.89 tff(30227,plain,
% 80.05/51.89 ((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | v141(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30226, 11485, 30220])).
% 80.05/51.89 tff(30228,plain,
% 80.05/51.89 (v141(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30227, 30216, 30212])).
% 80.05/51.89 tff(30229,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB115) | (~v141(constB115)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB115) | (~v141(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30230,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB115) | (~v141(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30231,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB115) | (~v141(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 80.05/51.89 tff(30232,plain,
% 80.05/51.89 (v228(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30231, 11500, 30228])).
% 80.05/51.89 tff(30233,plain,
% 80.05/51.89 (((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB115)) | (~v228(constB115)))) <=> ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB115)) | (~v228(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30234,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB115)) | (~v228(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30235,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB115)) | (~v228(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 80.05/51.89 tff(30236,plain,
% 80.05/51.89 (~v148(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30235, 29924, 30232])).
% 80.05/51.89 tff(30237,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB115) | (~v228(constB115)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB115) | (~v228(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30238,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB115) | (~v228(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30239,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB115) | (~v228(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30238, 30237])).
% 80.05/51.89 tff(30240,plain,
% 80.05/51.89 (v227(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30239, 11511, 30232])).
% 80.05/51.89 tff(30241,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB115) | (~v227(constB115)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB115) | (~v227(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30242,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB115) | (~v227(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30243,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB115) | (~v227(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30242, 30241])).
% 80.05/51.89 tff(30244,plain,
% 80.05/51.89 (v226(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30243, 10817, 30240])).
% 80.05/51.89 tff(30245,plain,
% 80.05/51.89 (((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB115) | (~v226(constB115)) | (~v86(constB115)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB115) | (~v226(constB115)) | (~v86(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30246,plain,
% 80.05/51.89 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB115) | (~v226(constB115)) | (~v86(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30247,plain,
% 80.05/51.89 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB115) | (~v226(constB115)) | (~v86(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30246, 30245])).
% 80.05/51.89 tff(30248,plain,
% 80.05/51.89 (~v86(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30247, 20266, 30244, 30236])).
% 80.05/51.89 tff(30249,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB115) | (~v217(constB115)))) <=> ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB115) | (~v217(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30250,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB115) | (~v217(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30251,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB115) | (~v217(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30250, 30249])).
% 80.05/51.89 tff(30252,plain,
% 80.05/51.89 (~v217(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30251, 20278, 30248])).
% 80.05/51.89 tff(30253,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB115) | (~v216(constB115)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB115) | (~v216(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30254,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB115) | (~v216(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30255,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB115) | (~v216(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30254, 30253])).
% 80.05/51.89 tff(30256,plain,
% 80.05/51.89 (~v216(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30255, 11256, 30252])).
% 80.05/51.89 tff(30257,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB115) | (~v215(constB115)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB115) | (~v215(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30258,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB115) | (~v215(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30259,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB115) | (~v215(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30258, 30257])).
% 80.05/51.89 tff(30260,plain,
% 80.05/51.89 (~v215(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30259, 11267, 30256])).
% 80.05/51.89 tff(30261,assumption,(v18(constB116)), introduced(assumption)).
% 80.05/51.89 tff(30262,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB116))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30263,plain,
% 80.05/51.89 ($false),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30262, 70, 30261])).
% 80.05/51.89 tff(30264,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.89 tff(30265,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30266,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30267,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 80.05/51.89 tff(30268,plain,
% 80.05/51.89 (v22(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30267, 83, 14921])).
% 80.05/51.89 tff(30269,plain,
% 80.05/51.89 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30270,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30271,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116)),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 80.05/51.89 tff(30272,plain,
% 80.05/51.89 ((~v19(constB116)) | v18(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30271, 97, 30268])).
% 80.05/51.89 tff(30273,plain,
% 80.05/51.89 (~v19(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30272, 30264])).
% 80.05/51.89 tff(30274,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30275,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30276,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 80.05/51.89 tff(30277,plain,
% 80.05/51.89 (v13(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30276, 112, 30273])).
% 80.05/51.89 tff(30278,plain,
% 80.05/51.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30279,plain,
% 80.05/51.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30280,plain,
% 80.05/51.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115)),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30279, 30278])).
% 80.05/51.89 tff(30281,plain,
% 80.05/51.89 ((~v13(constB116)) | v9(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30280, 129, 14865])).
% 80.05/51.89 tff(30282,plain,
% 80.05/51.89 (v9(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30281, 30277])).
% 80.05/51.89 tff(30283,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v184(constB115))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB115) | (~v9(constB115)) | v184(constB115))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30284,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v184(constB115))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30285,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB115) | (~v9(constB115)) | v184(constB115)),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30284, 30283])).
% 80.05/51.89 tff(30286,plain,
% 80.05/51.89 ((~v9(constB115)) | v184(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30285, 11036, 14774])).
% 80.05/51.89 tff(30287,plain,
% 80.05/51.89 (v184(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30286, 30282])).
% 80.05/51.89 tff(30288,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB115) | (~v184(constB115)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB115) | (~v184(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30289,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB115) | (~v184(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30290,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB115) | (~v184(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30289, 30288])).
% 80.05/51.89 tff(30291,plain,
% 80.05/51.89 (v183(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30290, 11048, 30287])).
% 80.05/51.89 tff(30292,plain,
% 80.05/51.89 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB115)) | (~v214(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB115)) | (~v214(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30293,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB115)) | (~v214(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30294,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB115)) | (~v214(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30293, 30292])).
% 80.05/51.89 tff(30295,plain,
% 80.05/51.89 (~v214(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30294, 11189, 30291])).
% 80.05/51.89 tff(30296,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB115) | v215(constB115) | (~v211(constB115)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB115) | v215(constB115) | (~v211(constB115)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30297,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB115) | v215(constB115) | (~v211(constB115)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30298,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB115) | v215(constB115) | (~v211(constB115))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30297, 30296])).
% 80.05/51.89 tff(30299,plain,
% 80.05/51.89 (v215(constB115) | (~v211(constB115))),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30298, 11203, 30295])).
% 80.05/51.89 tff(30300,plain,
% 80.05/51.89 (~v211(constB115)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30299, 30260])).
% 80.05/51.89 tff(30301,plain,
% 80.05/51.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30302,plain,
% 80.05/51.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30303,plain,
% 80.05/51.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30302, 30301])).
% 80.05/51.89 tff(30304,plain,
% 80.05/51.89 (v211(constB115) | (~v213(constB116))),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30303, 11218, 14865])).
% 80.05/51.89 tff(30305,plain,
% 80.05/51.89 (~v213(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30304, 30300])).
% 80.05/51.89 tff(30306,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB116) | (~v214(constB116)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB116) | (~v214(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30307,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB116) | (~v214(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30308,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB116) | (~v214(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 80.05/51.89 tff(30309,plain,
% 80.05/51.89 (~v214(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30308, 11230, 30305])).
% 80.05/51.89 tff(30310,plain,
% 80.05/51.89 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB116)) | (~v184(constB116)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB116)) | (~v184(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30311,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB116)) | (~v184(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30312,plain,
% 80.05/51.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB116)) | (~v184(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 80.05/51.89 tff(30313,plain,
% 80.05/51.89 (~v184(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30312, 11111, 14921])).
% 80.05/51.89 tff(30314,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB116) | (~v217(constB116)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB116) | (~v217(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30315,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB116) | (~v217(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30316,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB116) | (~v217(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 80.05/51.89 tff(30317,plain,
% 80.05/51.89 (~v217(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30316, 11245, 30313])).
% 80.05/51.89 tff(30318,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB116) | (~v216(constB116)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB116) | (~v216(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30319,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB116) | (~v216(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30320,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB116) | (~v216(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30319, 30318])).
% 80.05/51.89 tff(30321,plain,
% 80.05/51.89 (~v216(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30320, 11256, 30317])).
% 80.05/51.89 tff(30322,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB116) | (~v215(constB116)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB116) | (~v215(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30323,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB116) | (~v215(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30324,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB116) | (~v215(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30323, 30322])).
% 80.05/51.89 tff(30325,plain,
% 80.05/51.89 (~v215(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30324, 11267, 30321])).
% 80.05/51.89 tff(30326,plain,
% 80.05/51.89 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB116) | v215(constB116) | (~v211(constB116)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB116) | v215(constB116) | (~v211(constB116)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.89 tff(30327,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB116) | v215(constB116) | (~v211(constB116)))),
% 80.05/51.89 inference(quant_inst,[status(thm)],[])).
% 80.05/51.89 tff(30328,plain,
% 80.05/51.89 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB116) | v215(constB116) | (~v211(constB116))),
% 80.05/51.89 inference(modus_ponens,[status(thm)],[30327, 30326])).
% 80.05/51.89 tff(30329,plain,
% 80.05/51.89 (v214(constB116) | (~v211(constB116))),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30328, 11203, 30325])).
% 80.05/51.89 tff(30330,plain,
% 80.05/51.89 (~v211(constB116)),
% 80.05/51.89 inference(unit_resolution,[status(thm)],[30329, 30309])).
% 80.05/51.89 tff(30331,plain,
% 80.05/51.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117)))),
% 80.05/51.89 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30332,plain,
% 80.05/51.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30333,plain,
% 80.05/51.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30332, 30331])).
% 80.05/51.90 tff(30334,plain,
% 80.05/51.90 (v211(constB116) | (~v213(constB117))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30333, 11218, 14983])).
% 80.05/51.90 tff(30335,plain,
% 80.05/51.90 (~v213(constB117)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30334, 30330])).
% 80.05/51.90 tff(30336,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB117) | (~v297(constB117)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB117) | (~v297(constB117)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30337,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB117) | (~v297(constB117)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30338,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB117) | (~v297(constB117))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30337, 30336])).
% 80.05/51.90 tff(30339,plain,
% 80.05/51.90 (~v297(constB117)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30338, 11288, 30335])).
% 80.05/51.90 tff(30340,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB115)) | (~v88(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB115)) | (~v88(constB115, bitIndex1)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30341,plain,
% 80.05/51.90 (((~v88(constB115, bitIndex1)) | (~v140(constB115))) <=> ((~v140(constB115)) | (~v88(constB115, bitIndex1)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30342,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB115)) | (~v88(constB115, bitIndex1))))),
% 80.05/51.90 inference(monotonicity,[status(thm)],[30341])).
% 80.05/51.90 tff(30343,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB115)) | (~v88(constB115, bitIndex1)))),
% 80.05/51.90 inference(transitivity,[status(thm)],[30342, 30340])).
% 80.05/51.90 tff(30344,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30345,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB115)) | (~v88(constB115, bitIndex1))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30344, 30343])).
% 80.05/51.90 tff(30346,plain,
% 80.05/51.90 (~v140(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30345, 11526, 30212])).
% 80.05/51.90 tff(30347,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB115)) | (~v88(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB115)) | (~v88(constB115, bitIndex0)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30348,plain,
% 80.05/51.90 (((~v88(constB115, bitIndex0)) | (~v139(constB115))) <=> ((~v139(constB115)) | (~v88(constB115, bitIndex0)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30349,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex0)) | (~v139(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB115)) | (~v88(constB115, bitIndex0))))),
% 80.05/51.90 inference(monotonicity,[status(thm)],[30348])).
% 80.05/51.90 tff(30350,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex0)) | (~v139(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB115)) | (~v88(constB115, bitIndex0)))),
% 80.05/51.90 inference(transitivity,[status(thm)],[30349, 30347])).
% 80.05/51.90 tff(30351,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex0)) | (~v139(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30352,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB115)) | (~v88(constB115, bitIndex0))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30351, 30350])).
% 80.05/51.90 tff(30353,plain,
% 80.05/51.90 (~v139(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30352, 11324, 30220])).
% 80.05/51.90 tff(30354,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB115)) | v140(constB115) | v139(constB115))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB115)) | v140(constB115) | v139(constB115))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30355,plain,
% 80.05/51.90 ((v140(constB115) | v139(constB115) | (~v168(constB115))) <=> ((~v168(constB115)) | v140(constB115) | v139(constB115))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30356,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB115)) | v140(constB115) | v139(constB115)))),
% 80.05/51.90 inference(monotonicity,[status(thm)],[30355])).
% 80.05/51.90 tff(30357,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB115)) | v140(constB115) | v139(constB115))),
% 80.05/51.90 inference(transitivity,[status(thm)],[30356, 30354])).
% 80.05/51.90 tff(30358,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30359,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB115)) | v140(constB115) | v139(constB115)),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 80.05/51.90 tff(30360,plain,
% 80.05/51.90 ((~v168(constB115)) | v140(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30359, 10907, 30353])).
% 80.05/51.90 tff(30361,plain,
% 80.05/51.90 (~v168(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30360, 30346])).
% 80.05/51.90 tff(30362,plain,
% 80.05/51.90 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB115)) | (~v226(constB115)) | v168(constB115))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB115)) | (~v226(constB115)) | v168(constB115))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30363,plain,
% 80.05/51.90 ((v168(constB115) | (~v226(constB115)) | (~v161(constB115))) <=> ((~v161(constB115)) | (~v226(constB115)) | v168(constB115))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30364,plain,
% 80.05/51.90 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB115) | (~v226(constB115)) | (~v161(constB115)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB115)) | (~v226(constB115)) | v168(constB115)))),
% 80.05/51.90 inference(monotonicity,[status(thm)],[30363])).
% 80.05/51.90 tff(30365,plain,
% 80.05/51.90 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB115) | (~v226(constB115)) | (~v161(constB115)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB115)) | (~v226(constB115)) | v168(constB115))),
% 80.05/51.90 inference(transitivity,[status(thm)],[30364, 30362])).
% 80.05/51.90 tff(30366,plain,
% 80.05/51.90 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB115) | (~v226(constB115)) | (~v161(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30367,plain,
% 80.05/51.90 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB115)) | (~v226(constB115)) | v168(constB115)),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30366, 30365])).
% 80.05/51.90 tff(30368,plain,
% 80.05/51.90 ((~v161(constB115)) | (~v226(constB115))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30367, 10975, 30361])).
% 80.05/51.90 tff(30369,plain,
% 80.05/51.90 (~v161(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30368, 30244])).
% 80.05/51.90 tff(30370,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB115) | (~v187(constB115)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB115) | (~v187(constB115)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30371,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB115) | (~v187(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30372,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB115) | (~v187(constB115))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30371, 30370])).
% 80.05/51.90 tff(30373,plain,
% 80.05/51.90 (~v187(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30372, 10989, 30369])).
% 80.05/51.90 tff(30374,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB115) | (~v185(constB115)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB115) | (~v185(constB115)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30375,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB115) | (~v185(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30376,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB115) | (~v185(constB115))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30375, 30374])).
% 80.05/51.90 tff(30377,plain,
% 80.05/51.90 (~v185(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30376, 11000, 30373])).
% 80.05/51.90 tff(30378,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB115)) | (~v183(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB115)) | (~v183(constB115)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30379,plain,
% 80.05/51.90 (((~v183(constB115)) | (~v181(constB115))) <=> ((~v181(constB115)) | (~v183(constB115)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30380,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB115)) | (~v181(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB115)) | (~v183(constB115))))),
% 80.05/51.90 inference(monotonicity,[status(thm)],[30379])).
% 80.05/51.90 tff(30381,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB115)) | (~v181(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB115)) | (~v183(constB115)))),
% 80.05/51.90 inference(transitivity,[status(thm)],[30380, 30378])).
% 80.05/51.90 tff(30382,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB115)) | (~v181(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30383,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB115)) | (~v183(constB115))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30382, 30381])).
% 80.05/51.90 tff(30384,plain,
% 80.05/51.90 (~v181(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30383, 11059, 30291])).
% 80.05/51.90 tff(30385,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB115) | v185(constB115) | (~v178(constB115)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB115) | v185(constB115) | (~v178(constB115)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30386,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB115) | v185(constB115) | (~v178(constB115)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30387,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB115) | v185(constB115) | (~v178(constB115))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30386, 30385])).
% 80.05/51.90 tff(30388,plain,
% 80.05/51.90 (v185(constB115) | (~v178(constB115))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30387, 11073, 30384])).
% 80.05/51.90 tff(30389,plain,
% 80.05/51.90 (~v178(constB115)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30388, 30377])).
% 80.05/51.90 tff(30390,plain,
% 80.05/51.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30391,plain,
% 80.05/51.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30392,plain,
% 80.05/51.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30391, 30390])).
% 80.05/51.90 tff(30393,plain,
% 80.05/51.90 (v178(constB115) | (~v180(constB116))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30392, 11088, 14865])).
% 80.05/51.90 tff(30394,plain,
% 80.05/51.90 (~v180(constB116)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30393, 30389])).
% 80.05/51.90 tff(30395,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB116) | (~v181(constB116)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB116) | (~v181(constB116)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30396,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB116) | (~v181(constB116)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30397,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB116) | (~v181(constB116))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 80.05/51.90 tff(30398,plain,
% 80.05/51.90 (~v181(constB116)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30397, 11100, 30394])).
% 80.05/51.90 tff(30399,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB116) | (~v187(constB116)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB116) | (~v187(constB116)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30400,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB116) | (~v187(constB116)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30401,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB116) | (~v187(constB116))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30400, 30399])).
% 80.05/51.90 tff(30402,plain,
% 80.05/51.90 (~v187(constB116)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30401, 11122, 30313])).
% 80.05/51.90 tff(30403,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB116) | (~v185(constB116)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB116) | (~v185(constB116)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30404,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB116) | (~v185(constB116)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30405,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB116) | (~v185(constB116))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 80.05/51.90 tff(30406,plain,
% 80.05/51.90 (~v185(constB116)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30405, 11000, 30402])).
% 80.05/51.90 tff(30407,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB116) | v185(constB116) | (~v178(constB116)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB116) | v185(constB116) | (~v178(constB116)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30408,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB116) | v185(constB116) | (~v178(constB116)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30409,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB116) | v185(constB116) | (~v178(constB116))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30408, 30407])).
% 80.05/51.90 tff(30410,plain,
% 80.05/51.90 (v181(constB116) | (~v178(constB116))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30409, 11073, 30406])).
% 80.05/51.90 tff(30411,plain,
% 80.05/51.90 (~v178(constB116)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30410, 30398])).
% 80.05/51.90 tff(30412,plain,
% 80.05/51.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30413,plain,
% 80.05/51.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30414,plain,
% 80.05/51.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30413, 30412])).
% 80.05/51.90 tff(30415,plain,
% 80.05/51.90 (v178(constB116) | (~v180(constB117))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30414, 11088, 14983])).
% 80.05/51.90 tff(30416,plain,
% 80.05/51.90 (~v180(constB117)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30415, 30411])).
% 80.05/51.90 tff(30417,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB117) | (~v293(constB117)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB117) | (~v293(constB117)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30418,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB117) | (~v293(constB117)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30419,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB117) | (~v293(constB117))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30418, 30417])).
% 80.05/51.90 tff(30420,plain,
% 80.05/51.90 (~v293(constB117)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30419, 11437, 30416])).
% 80.05/51.90 tff(30421,plain,
% 80.05/51.90 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB117) | v297(constB117) | (~v292(constB117)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB117) | v297(constB117) | (~v292(constB117)))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30422,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB117) | v297(constB117) | (~v292(constB117)))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30423,plain,
% 80.05/51.90 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB117) | v297(constB117) | (~v292(constB117))),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30422, 30421])).
% 80.05/51.90 tff(30424,plain,
% 80.05/51.90 (v297(constB117) | (~v292(constB117))),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30423, 11451, 30420])).
% 80.05/51.90 tff(30425,plain,
% 80.05/51.90 (~v292(constB117)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30424, 30339])).
% 80.05/51.90 tff(30426,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2))),
% 80.05/51.90 inference(rewrite,[status(thm)],[])).
% 80.05/51.90 tff(30427,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2))),
% 80.05/51.90 inference(quant_inst,[status(thm)],[])).
% 80.05/51.90 tff(30428,plain,
% 80.05/51.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2)),
% 80.05/51.90 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 80.05/51.90 tff(30429,plain,
% 80.05/51.90 (v88(constB117, bitIndex2)),
% 80.05/51.90 inference(unit_resolution,[status(thm)],[30428, 10735, 15035])).
% 80.05/51.90 tff(30430,plain,
% 80.05/51.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v143(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB117, bitIndex2)) | (~v143(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30431,plain,
% 80.05/51.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v143(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30432,plain,
% 80.05/51.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB117, bitIndex2)) | (~v143(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 80.05/51.91 tff(30433,plain,
% 80.05/51.91 (~v143(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30432, 20169, 30429])).
% 80.05/51.91 tff(30434,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30435,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30436,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30435, 30434])).
% 80.05/51.91 tff(30437,plain,
% 80.05/51.91 (~v88(constB117, bitIndex1)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30436, 10918, 15004])).
% 80.05/51.91 tff(30438,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB117)) | v88(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB117)) | v88(constB117, bitIndex1))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30439,plain,
% 80.05/51.91 ((v88(constB117, bitIndex1) | (~v144(constB117))) <=> ((~v144(constB117)) | v88(constB117, bitIndex1))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30440,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB117, bitIndex1) | (~v144(constB117)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB117)) | v88(constB117, bitIndex1)))),
% 80.05/51.91 inference(monotonicity,[status(thm)],[30439])).
% 80.05/51.91 tff(30441,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB117, bitIndex1) | (~v144(constB117)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB117)) | v88(constB117, bitIndex1))),
% 80.05/51.91 inference(transitivity,[status(thm)],[30440, 30438])).
% 80.05/51.91 tff(30442,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB117, bitIndex1) | (~v144(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30443,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB117)) | v88(constB117, bitIndex1)),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30442, 30441])).
% 80.05/51.91 tff(30444,plain,
% 80.05/51.91 (~v144(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30443, 20155, 30437])).
% 80.05/51.91 tff(30445,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB117) | v144(constB117) | (~v142(constB117)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB117) | v144(constB117) | (~v142(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30446,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB117) | v144(constB117) | (~v142(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30447,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB117) | v144(constB117) | (~v142(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30446, 30445])).
% 80.05/51.91 tff(30448,plain,
% 80.05/51.91 (~v142(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30447, 20183, 30444, 30433])).
% 80.05/51.91 tff(30449,plain,
% 80.05/51.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v139(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB117, bitIndex2)) | (~v139(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30450,plain,
% 80.05/51.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v139(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30451,plain,
% 80.05/51.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB117, bitIndex2)) | (~v139(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30450, 30449])).
% 80.05/51.91 tff(30452,plain,
% 80.05/51.91 (~v139(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30451, 10882, 30429])).
% 80.05/51.91 tff(30453,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30454,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30455,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30454, 30453])).
% 80.05/51.91 tff(30456,plain,
% 80.05/51.91 (~v88(constB117, bitIndex0)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30455, 10755, 15044])).
% 80.05/51.91 tff(30457,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB117, bitIndex0) | (~v140(constB117)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB117, bitIndex0) | (~v140(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30458,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB117, bitIndex0) | (~v140(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30459,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB117, bitIndex0) | (~v140(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30458, 30457])).
% 80.05/51.91 tff(30460,plain,
% 80.05/51.91 (~v140(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30459, 28442, 30456])).
% 80.05/51.91 tff(30461,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v229(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | v140(constB117) | v139(constB117) | (~v229(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30462,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v229(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30463,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | v140(constB117) | v139(constB117) | (~v229(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30462, 30461])).
% 80.05/51.91 tff(30464,plain,
% 80.05/51.91 (v139(constB117) | (~v229(constB117))),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30463, 20206, 30460])).
% 80.05/51.91 tff(30465,plain,
% 80.05/51.91 (~v229(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30464, 30452])).
% 80.05/51.91 tff(30466,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB117, bitIndex0) | (~v141(constB117)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB117, bitIndex0) | (~v141(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30467,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB117, bitIndex0) | (~v141(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30468,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB117, bitIndex0) | (~v141(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30467, 30466])).
% 80.05/51.91 tff(30469,plain,
% 80.05/51.91 (~v141(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30468, 28812, 30456])).
% 80.05/51.91 tff(30470,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB117) | (~v228(constB117)) | v229(constB117))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB117) | (~v228(constB117)) | v229(constB117))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30471,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB117) | (~v228(constB117)) | v229(constB117))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30472,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB117) | (~v228(constB117)) | v229(constB117)),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 80.05/51.91 tff(30473,plain,
% 80.05/51.91 ((~v228(constB117)) | v229(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30472, 20234, 30469])).
% 80.05/51.91 tff(30474,plain,
% 80.05/51.91 (~v228(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30473, 30465])).
% 80.05/51.91 tff(30475,plain,
% 80.05/51.91 (^[VarCurr: $i] : refl((v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))) <=> (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))))),
% 80.05/51.91 inference(bind,[status(th)],[])).
% 80.05/51.91 tff(30476,plain,
% 80.05/51.91 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(quant_intro,[status(thm)],[30475])).
% 80.05/51.91 tff(30477,plain,
% 80.05/51.91 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30478,plain,
% 80.05/51.91 (^[VarCurr: $i] : trans(monotonicity(rewrite((v228(VarCurr) | v142(VarCurr)) <=> (v142(VarCurr) | v228(VarCurr))), (((v228(VarCurr) | v142(VarCurr)) | (~v227(VarCurr))) <=> ((v142(VarCurr) | v228(VarCurr)) | (~v227(VarCurr))))), rewrite(((v142(VarCurr) | v228(VarCurr)) | (~v227(VarCurr))) <=> (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))), (((v228(VarCurr) | v142(VarCurr)) | (~v227(VarCurr))) <=> (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))))),
% 80.05/51.91 inference(bind,[status(th)],[])).
% 80.05/51.91 tff(30479,plain,
% 80.05/51.91 (![VarCurr: $i] : ((v228(VarCurr) | v142(VarCurr)) | (~v227(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(quant_intro,[status(thm)],[30478])).
% 80.05/51.91 tff(30480,axiom,(![VarCurr: $i] : ((v228(VarCurr) | v142(VarCurr)) | (~v227(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_1_3')).
% 80.05/51.91 tff(30481,plain,
% 80.05/51.91 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 80.05/51.91 tff(30482,plain,
% 80.05/51.91 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30481, 30477])).
% 80.05/51.91 tff(30483,plain,(
% 80.05/51.91 ![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(skolemize,[status(sab)],[30482])).
% 80.05/51.91 tff(30484,plain,
% 80.05/51.91 (![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30483, 30476])).
% 80.05/51.91 tff(30485,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB117) | v228(constB117) | (~v227(constB117)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB117) | v228(constB117) | (~v227(constB117)))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30486,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB117) | v228(constB117) | (~v227(constB117)))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30487,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB117) | v228(constB117) | (~v227(constB117))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30486, 30485])).
% 80.05/51.91 tff(30488,plain,
% 80.05/51.91 (~v227(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30487, 30484, 30474, 30448])).
% 80.05/51.91 tff(30489,plain,
% 80.05/51.91 (^[VarCurr: $i] : refl((v227(VarCurr) | v230(VarCurr)) <=> (v227(VarCurr) | v230(VarCurr)))),
% 80.05/51.91 inference(bind,[status(th)],[])).
% 80.05/51.91 tff(30490,plain,
% 80.05/51.91 (![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr)) <=> ![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(quant_intro,[status(thm)],[30489])).
% 80.05/51.91 tff(30491,plain,
% 80.05/51.91 (![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr)) <=> ![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30492,plain,
% 80.05/51.91 (^[VarCurr: $i] : rewrite((v230(VarCurr) | v227(VarCurr)) <=> (v227(VarCurr) | v230(VarCurr)))),
% 80.05/51.91 inference(bind,[status(th)],[])).
% 80.05/51.91 tff(30493,plain,
% 80.05/51.91 (![VarCurr: $i] : (v230(VarCurr) | v227(VarCurr)) <=> ![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(quant_intro,[status(thm)],[30492])).
% 80.05/51.91 tff(30494,axiom,(![VarCurr: $i] : (v230(VarCurr) | v227(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_5_1_1_1')).
% 80.05/51.91 tff(30495,plain,
% 80.05/51.91 (![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 80.05/51.91 tff(30496,plain,
% 80.05/51.91 (![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30495, 30491])).
% 80.05/51.91 tff(30497,plain,(
% 80.05/51.91 ![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(skolemize,[status(sab)],[30496])).
% 80.05/51.91 tff(30498,plain,
% 80.05/51.91 (![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30497, 30490])).
% 80.05/51.91 tff(30499,plain,
% 80.05/51.91 (((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB117) | v230(constB117))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | v227(constB117) | v230(constB117))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30500,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB117) | v230(constB117))),
% 80.05/51.91 inference(quant_inst,[status(thm)],[])).
% 80.05/51.91 tff(30501,plain,
% 80.05/51.91 ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | v227(constB117) | v230(constB117)),
% 80.05/51.91 inference(modus_ponens,[status(thm)],[30500, 30499])).
% 80.05/51.91 tff(30502,plain,
% 80.05/51.91 (v230(constB117)),
% 80.05/51.91 inference(unit_resolution,[status(thm)],[30501, 30498, 30488])).
% 80.05/51.91 tff(30503,plain,
% 80.05/51.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30504,plain,
% 80.05/51.91 (((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117)) <=> ((~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))),
% 80.05/51.91 inference(rewrite,[status(thm)],[])).
% 80.05/51.91 tff(30505,plain,
% 80.05/51.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)))),
% 80.05/51.91 inference(monotonicity,[status(thm)],[30504])).
% 80.05/51.91 tff(30506,plain,
% 80.05/51.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))),
% 80.05/51.92 inference(transitivity,[status(thm)],[30505, 30503])).
% 80.05/51.92 tff(30507,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30508,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 80.05/51.92 tff(30509,plain,
% 80.05/51.92 ((~v88(constB117, bitIndex2)) | v146(constB117) | v88(constB117, bitIndex1)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30508, 10936, 30456])).
% 80.05/51.92 tff(30510,plain,
% 80.05/51.92 (v146(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30509, 30429, 30437])).
% 80.05/51.92 tff(30511,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB117) | (~v146(constB117)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB117) | (~v146(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30512,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB117) | (~v146(constB117)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30513,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB117) | (~v146(constB117))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30512, 30511])).
% 80.05/51.92 tff(30514,plain,
% 80.05/51.92 (v145(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30513, 10950, 30510])).
% 80.05/51.92 tff(30515,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB117) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB117) | (~v145(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30516,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB117) | (~v145(constB117)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30517,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB117) | (~v145(constB117))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30516, 30515])).
% 80.05/51.92 tff(30518,plain,
% 80.05/51.92 (v226(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30517, 10961, 30514])).
% 80.05/51.92 tff(30519,plain,
% 80.05/51.92 (^[VarNext: $i] : refl(((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)) <=> ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)))),
% 80.05/51.92 inference(bind,[status(th)],[])).
% 80.05/51.92 tff(30520,plain,
% 80.05/51.92 (![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(quant_intro,[status(thm)],[30519])).
% 80.05/51.92 tff(30521,plain,
% 80.05/51.92 (![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30522,plain,
% 80.05/51.92 (^[VarNext: $i] : rewrite(((v223(VarNext) | (~v230(VarNext))) | (~v226(VarNext))) <=> ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)))),
% 80.05/51.92 inference(bind,[status(th)],[])).
% 80.05/51.92 tff(30523,plain,
% 80.05/51.92 (![VarNext: $i] : ((v223(VarNext) | (~v230(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(quant_intro,[status(thm)],[30522])).
% 80.05/51.92 tff(30524,axiom,(![VarNext: $i] : ((v223(VarNext) | (~v230(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_9_1')).
% 80.05/51.92 tff(30525,plain,
% 80.05/51.92 (![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 80.05/51.92 tff(30526,plain,
% 80.05/51.92 (![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30525, 30521])).
% 80.05/51.92 tff(30527,plain,(
% 80.05/51.92 ![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(skolemize,[status(sab)],[30526])).
% 80.05/51.92 tff(30528,plain,
% 80.05/51.92 (![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30527, 30520])).
% 80.05/51.92 tff(30529,plain,
% 80.05/51.92 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB117) | (~v226(constB117)) | (~v230(constB117)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB117) | (~v226(constB117)) | (~v230(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30530,plain,
% 80.05/51.92 (((~v226(constB117)) | (~v230(constB117)) | v223(constB117)) <=> (v223(constB117) | (~v226(constB117)) | (~v230(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30531,plain,
% 80.05/51.92 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB117)) | (~v230(constB117)) | v223(constB117))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB117) | (~v226(constB117)) | (~v230(constB117))))),
% 80.05/51.92 inference(monotonicity,[status(thm)],[30530])).
% 80.05/51.92 tff(30532,plain,
% 80.05/51.92 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB117)) | (~v230(constB117)) | v223(constB117))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB117) | (~v226(constB117)) | (~v230(constB117)))),
% 80.05/51.92 inference(transitivity,[status(thm)],[30531, 30529])).
% 80.05/51.92 tff(30533,plain,
% 80.05/51.92 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB117)) | (~v230(constB117)) | v223(constB117))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30534,plain,
% 80.05/51.92 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB117) | (~v226(constB117)) | (~v230(constB117))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 80.05/51.92 tff(30535,plain,
% 80.05/51.92 (v223(constB117) | (~v230(constB117))),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30534, 30528, 30518])).
% 80.05/51.92 tff(30536,plain,
% 80.05/51.92 (v223(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30535, 30502])).
% 80.05/51.92 tff(30537,plain,
% 80.05/51.92 (^[VarCurr: $i] : refl(((~v223(VarCurr)) | (~v304(VarCurr))) <=> ((~v223(VarCurr)) | (~v304(VarCurr))))),
% 80.05/51.92 inference(bind,[status(th)],[])).
% 80.05/51.92 tff(30538,plain,
% 80.05/51.92 (![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr))) <=> ![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 80.05/51.92 inference(quant_intro,[status(thm)],[30537])).
% 80.05/51.92 tff(30539,plain,
% 80.05/51.92 (![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr))) <=> ![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30540,axiom,(![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_88_1_1_1_1')).
% 80.05/51.92 tff(30541,plain,
% 80.05/51.92 (![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30540, 30539])).
% 80.05/51.92 tff(30542,plain,(
% 80.05/51.92 ![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 80.05/51.92 inference(skolemize,[status(sab)],[30541])).
% 80.05/51.92 tff(30543,plain,
% 80.05/51.92 (![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30542, 30538])).
% 80.05/51.92 tff(30544,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB117)) | (~v304(constB117)))) <=> ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB117)) | (~v304(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30545,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB117)) | (~v304(constB117)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30546,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB117)) | (~v304(constB117))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30545, 30544])).
% 80.05/51.92 tff(30547,plain,
% 80.05/51.92 (~v304(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30546, 30543, 30536])).
% 80.05/51.92 tff(30548,plain,
% 80.05/51.92 (^[VarCurr: $i] : refl((v304(VarCurr) | (~v303(VarCurr))) <=> (v304(VarCurr) | (~v303(VarCurr))))),
% 80.05/51.92 inference(bind,[status(th)],[])).
% 80.05/51.92 tff(30549,plain,
% 80.05/51.92 (![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr))) <=> ![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))),
% 80.05/51.92 inference(quant_intro,[status(thm)],[30548])).
% 80.05/51.92 tff(30550,plain,
% 80.05/51.92 (![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr))) <=> ![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30551,axiom,(![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_89_1_1_1_1')).
% 80.05/51.92 tff(30552,plain,
% 80.05/51.92 (![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 80.05/51.92 tff(30553,plain,(
% 80.05/51.92 ![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))),
% 80.05/51.92 inference(skolemize,[status(sab)],[30552])).
% 80.05/51.92 tff(30554,plain,
% 80.05/51.92 (![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30553, 30549])).
% 80.05/51.92 tff(30555,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB117) | (~v303(constB117)))) <=> ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB117) | (~v303(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30556,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB117) | (~v303(constB117)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30557,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB117) | (~v303(constB117))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30556, 30555])).
% 80.05/51.92 tff(30558,plain,
% 80.05/51.92 (~v303(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30557, 30554, 30547])).
% 80.05/51.92 tff(30559,plain,
% 80.05/51.92 (^[VarCurr: $i] : refl((v303(VarCurr) | (~v302(VarCurr))) <=> (v303(VarCurr) | (~v302(VarCurr))))),
% 80.05/51.92 inference(bind,[status(th)],[])).
% 80.05/51.92 tff(30560,plain,
% 80.05/51.92 (![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))),
% 80.05/51.92 inference(quant_intro,[status(thm)],[30559])).
% 80.05/51.92 tff(30561,plain,
% 80.05/51.92 (![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30562,axiom,(![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_90_1_1_1_1')).
% 80.05/51.92 tff(30563,plain,
% 80.05/51.92 (![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30562, 30561])).
% 80.05/51.92 tff(30564,plain,(
% 80.05/51.92 ![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))),
% 80.05/51.92 inference(skolemize,[status(sab)],[30563])).
% 80.05/51.92 tff(30565,plain,
% 80.05/51.92 (![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30564, 30560])).
% 80.05/51.92 tff(30566,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB117) | (~v302(constB117)))) <=> ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB117) | (~v302(constB117)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30567,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB117) | (~v302(constB117)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30568,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB117) | (~v302(constB117))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30567, 30566])).
% 80.05/51.92 tff(30569,plain,
% 80.05/51.92 (~v302(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30568, 30565, 30558])).
% 80.05/51.92 tff(30570,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB117) | v302(constB117) | v290(constB117))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB117) | v302(constB117) | v290(constB117))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30571,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB117) | v302(constB117) | v290(constB117))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30572,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB117) | v302(constB117) | v290(constB117)),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30571, 30570])).
% 80.05/51.92 tff(30573,plain,
% 80.05/51.92 (v292(constB117) | v290(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30572, 11803, 30569])).
% 80.05/51.92 tff(30574,plain,
% 80.05/51.92 (v290(constB117)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30573, 30425])).
% 80.05/51.92 tff(30575,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30576,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30577,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2)),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30576, 30575])).
% 80.05/51.92 tff(30578,plain,
% 80.05/51.92 (v88(constB107, bitIndex2)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30577, 10735, 13447])).
% 80.05/51.92 tff(30579,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v140(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v140(constB107)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30580,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v140(constB107)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30581,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v140(constB107))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30580, 30579])).
% 80.05/51.92 tff(30582,plain,
% 80.05/51.92 (~v140(constB107)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30581, 10893, 30578])).
% 80.05/51.92 tff(30583,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30584,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30585,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0)),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 80.05/51.92 tff(30586,plain,
% 80.05/51.92 (v88(constB107, bitIndex0)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30585, 11313, 13512])).
% 80.05/51.92 tff(30587,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v139(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v139(constB107)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30588,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v139(constB107)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30589,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v139(constB107))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 80.05/51.92 tff(30590,plain,
% 80.05/51.92 (~v139(constB107)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30589, 11324, 30586])).
% 80.05/51.92 tff(30591,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v168(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB107) | v139(constB107) | (~v168(constB107)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30592,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v168(constB107)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30593,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB107) | v139(constB107) | (~v168(constB107))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 80.05/51.92 tff(30594,plain,
% 80.05/51.92 (~v168(constB107)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30593, 10907, 30590, 30582])).
% 80.05/51.92 tff(30595,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30596,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30597,plain,
% 80.05/51.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30596, 30595])).
% 80.05/51.92 tff(30598,plain,
% 80.05/51.92 (~v88(constB107, bitIndex1)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30597, 10918, 13481])).
% 80.05/51.92 tff(30599,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v147(constB107) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB107, bitIndex2)) | v147(constB107) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30600,plain,
% 80.05/51.92 (((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107)) <=> ((~v88(constB107, bitIndex2)) | v147(constB107) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 80.05/51.92 inference(rewrite,[status(thm)],[])).
% 80.05/51.92 tff(30601,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v147(constB107) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))),
% 80.05/51.92 inference(monotonicity,[status(thm)],[30600])).
% 80.05/51.92 tff(30602,plain,
% 80.05/51.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB107, bitIndex2)) | v147(constB107) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 80.05/51.92 inference(transitivity,[status(thm)],[30601, 30599])).
% 80.05/51.92 tff(30603,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))),
% 80.05/51.92 inference(quant_inst,[status(thm)],[])).
% 80.05/51.92 tff(30604,plain,
% 80.05/51.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB107, bitIndex2)) | v147(constB107) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))),
% 80.05/51.92 inference(modus_ponens,[status(thm)],[30603, 30602])).
% 80.05/51.92 tff(30605,plain,
% 80.05/51.92 (v147(constB107)),
% 80.05/51.92 inference(unit_resolution,[status(thm)],[30604, 11353, 30586, 30578, 30598])).
% 80.05/51.92 tff(30606,plain,
% 80.05/51.92 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB107) | (~v147(constB107)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB107) | (~v147(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30607,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB107) | (~v147(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30608,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB107) | (~v147(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 80.05/51.93 tff(30609,plain,
% 80.05/51.93 (v145(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30608, 11368, 30605])).
% 80.05/51.93 tff(30610,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB107) | (~v145(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30611,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB107) | (~v145(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30612,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB107) | (~v145(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30611, 30610])).
% 80.05/51.93 tff(30613,plain,
% 80.05/51.93 (v226(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30612, 10961, 30609])).
% 80.05/51.93 tff(30614,plain,
% 80.05/51.93 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB107)) | (~v226(constB107)) | v168(constB107))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB107)) | (~v226(constB107)) | v168(constB107))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30615,plain,
% 80.05/51.93 ((v168(constB107) | (~v226(constB107)) | (~v161(constB107))) <=> ((~v161(constB107)) | (~v226(constB107)) | v168(constB107))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30616,plain,
% 80.05/51.93 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB107) | (~v226(constB107)) | (~v161(constB107)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB107)) | (~v226(constB107)) | v168(constB107)))),
% 80.05/51.93 inference(monotonicity,[status(thm)],[30615])).
% 80.05/51.93 tff(30617,plain,
% 80.05/51.93 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB107) | (~v226(constB107)) | (~v161(constB107)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB107)) | (~v226(constB107)) | v168(constB107))),
% 80.05/51.93 inference(transitivity,[status(thm)],[30616, 30614])).
% 80.05/51.93 tff(30618,plain,
% 80.05/51.93 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB107) | (~v226(constB107)) | (~v161(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30619,plain,
% 80.05/51.93 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB107)) | (~v226(constB107)) | v168(constB107)),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30618, 30617])).
% 80.05/51.93 tff(30620,plain,
% 80.05/51.93 (~v161(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30619, 10975, 30613, 30594])).
% 80.05/51.93 tff(30621,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB107) | (~v187(constB107)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB107) | (~v187(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30622,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB107) | (~v187(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30623,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB107) | (~v187(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30622, 30621])).
% 80.05/51.93 tff(30624,plain,
% 80.05/51.93 (~v187(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30623, 10989, 30620])).
% 80.05/51.93 tff(30625,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30626,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30627,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 80.05/51.93 tff(30628,plain,
% 80.05/51.93 (~v185(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30627, 11000, 30624])).
% 80.05/51.93 tff(30629,assumption,(v18(constB108)), introduced(assumption)).
% 80.05/51.93 tff(30630,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB108))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30631,plain,
% 80.05/51.93 ($false),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30630, 70, 30629])).
% 80.05/51.93 tff(30632,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.93 tff(30633,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30634,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30635,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30634, 30633])).
% 80.05/51.93 tff(30636,plain,
% 80.05/51.93 (v22(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30635, 83, 13550])).
% 80.05/51.93 tff(30637,plain,
% 80.05/51.93 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30638,plain,
% 80.05/51.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30639,plain,
% 80.05/51.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108)),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30638, 30637])).
% 80.05/51.93 tff(30640,plain,
% 80.05/51.93 ((~v19(constB108)) | v18(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30639, 97, 30636])).
% 80.05/51.93 tff(30641,plain,
% 80.05/51.93 (~v19(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30640, 30632])).
% 80.05/51.93 tff(30642,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30643,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30644,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 80.05/51.93 tff(30645,plain,
% 80.05/51.93 (v13(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30644, 112, 30641])).
% 80.05/51.93 tff(30646,plain,
% 80.05/51.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30647,plain,
% 80.05/51.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30648,plain,
% 80.05/51.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107)),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30647, 30646])).
% 80.05/51.93 tff(30649,plain,
% 80.05/51.93 ((~v13(constB108)) | v9(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30648, 129, 13532])).
% 80.05/51.93 tff(30650,plain,
% 80.05/51.93 (v9(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30649, 30645])).
% 80.05/51.93 tff(30651,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30652,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30653,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107)),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 80.05/51.93 tff(30654,plain,
% 80.05/51.93 ((~v9(constB107)) | v184(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30653, 11036, 13423])).
% 80.05/51.93 tff(30655,plain,
% 80.05/51.93 (v184(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30654, 30650])).
% 80.05/51.93 tff(30656,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB107) | (~v184(constB107)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB107) | (~v184(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30657,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB107) | (~v184(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30658,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB107) | (~v184(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30657, 30656])).
% 80.05/51.93 tff(30659,plain,
% 80.05/51.93 (v183(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30658, 11048, 30655])).
% 80.05/51.93 tff(30660,plain,
% 80.05/51.93 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB107)) | (~v183(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30661,plain,
% 80.05/51.93 (((~v183(constB107)) | (~v181(constB107))) <=> ((~v181(constB107)) | (~v183(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30662,plain,
% 80.05/51.93 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB107)) | (~v181(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107))))),
% 80.05/51.93 inference(monotonicity,[status(thm)],[30661])).
% 80.05/51.93 tff(30663,plain,
% 80.05/51.93 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB107)) | (~v181(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB107)) | (~v183(constB107)))),
% 80.05/51.93 inference(transitivity,[status(thm)],[30662, 30660])).
% 80.05/51.93 tff(30664,plain,
% 80.05/51.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB107)) | (~v181(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30665,plain,
% 80.05/51.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB107)) | (~v183(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 80.05/51.93 tff(30666,plain,
% 80.05/51.93 (~v181(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30665, 11059, 30659])).
% 80.05/51.93 tff(30667,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30668,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30669,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30668, 30667])).
% 80.05/51.93 tff(30670,plain,
% 80.05/51.93 (v185(constB107) | (~v178(constB107))),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30669, 11073, 30666])).
% 80.05/51.93 tff(30671,plain,
% 80.05/51.93 (~v178(constB107)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30670, 30628])).
% 80.05/51.93 tff(30672,plain,
% 80.05/51.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30673,plain,
% 80.05/51.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30674,plain,
% 80.05/51.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30673, 30672])).
% 80.05/51.93 tff(30675,plain,
% 80.05/51.93 (v178(constB107) | (~v180(constB108))),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30674, 11088, 13532])).
% 80.05/51.93 tff(30676,plain,
% 80.05/51.93 (~v180(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30675, 30671])).
% 80.05/51.93 tff(30677,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30678,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30679,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30678, 30677])).
% 80.05/51.93 tff(30680,plain,
% 80.05/51.93 (~v181(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30679, 11100, 30676])).
% 80.05/51.93 tff(30681,plain,
% 80.05/51.93 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30682,plain,
% 80.05/51.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30683,plain,
% 80.05/51.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30682, 30681])).
% 80.05/51.93 tff(30684,plain,
% 80.05/51.93 (~v184(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30683, 11111, 13550])).
% 80.05/51.93 tff(30685,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30686,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30687,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30686, 30685])).
% 80.05/51.93 tff(30688,plain,
% 80.05/51.93 (~v187(constB108)),
% 80.05/51.93 inference(unit_resolution,[status(thm)],[30687, 11122, 30684])).
% 80.05/51.93 tff(30689,plain,
% 80.05/51.93 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108)))),
% 80.05/51.93 inference(rewrite,[status(thm)],[])).
% 80.05/51.93 tff(30690,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))),
% 80.05/51.93 inference(quant_inst,[status(thm)],[])).
% 80.05/51.93 tff(30691,plain,
% 80.05/51.93 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108))),
% 80.05/51.93 inference(modus_ponens,[status(thm)],[30690, 30689])).
% 80.05/51.94 tff(30692,plain,
% 80.05/51.94 (~v185(constB108)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30691, 11000, 30688])).
% 80.05/51.94 tff(30693,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30694,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30695,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30694, 30693])).
% 80.05/51.94 tff(30696,plain,
% 80.05/51.94 (v181(constB108) | (~v178(constB108))),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30695, 11073, 30692])).
% 80.05/51.94 tff(30697,plain,
% 80.05/51.94 (~v178(constB108)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30696, 30680])).
% 80.05/51.94 tff(30698,plain,
% 80.05/51.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30699,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30700,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30699, 30698])).
% 80.05/51.94 tff(30701,plain,
% 80.05/51.94 (v178(constB108) | (~v180(constB109))),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30700, 11088, 13751])).
% 80.05/51.94 tff(30702,plain,
% 80.05/51.94 (~v180(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30701, 30697])).
% 80.05/51.94 tff(30703,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB109) | (~v215(constB109)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB109) | (~v215(constB109)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30704,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB109) | (~v215(constB109)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30705,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB109) | (~v215(constB109))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 80.05/51.94 tff(30706,plain,
% 80.05/51.94 (~v215(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30705, 11147, 30702])).
% 80.05/51.94 tff(30707,assumption,(v18(constB110)), introduced(assumption)).
% 80.05/51.94 tff(30708,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB110))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30709,plain,
% 80.05/51.94 ($false),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30708, 70, 30707])).
% 80.05/51.94 tff(30710,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.94 tff(30711,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30712,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30713,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30712, 30711])).
% 80.05/51.94 tff(30714,plain,
% 80.05/51.94 (v22(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30713, 83, 13881])).
% 80.05/51.94 tff(30715,plain,
% 80.05/51.94 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB110)) | (~v22(constB110)) | v18(constB110))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB110)) | (~v22(constB110)) | v18(constB110))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30716,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB110)) | (~v22(constB110)) | v18(constB110))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30717,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB110)) | (~v22(constB110)) | v18(constB110)),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 80.05/51.94 tff(30718,plain,
% 80.05/51.94 ((~v19(constB110)) | v18(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30717, 97, 30714])).
% 80.05/51.94 tff(30719,plain,
% 80.05/51.94 (~v19(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30718, 30710])).
% 80.05/51.94 tff(30720,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30721,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30722,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30721, 30720])).
% 80.05/51.94 tff(30723,plain,
% 80.05/51.94 (v13(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30722, 112, 30719])).
% 80.05/51.94 tff(30724,plain,
% 80.05/51.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30725,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30726,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109)),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 80.05/51.94 tff(30727,plain,
% 80.05/51.94 ((~v13(constB110)) | v9(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30726, 129, 13861])).
% 80.05/51.94 tff(30728,plain,
% 80.05/51.94 (v9(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30727, 30723])).
% 80.05/51.94 tff(30729,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30730,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30731,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109)),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30730, 30729])).
% 80.05/51.94 tff(30732,plain,
% 80.05/51.94 ((~v9(constB109)) | v184(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30731, 11036, 13748])).
% 80.05/51.94 tff(30733,plain,
% 80.05/51.94 (v184(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30732, 30728])).
% 80.05/51.94 tff(30734,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB109) | (~v184(constB109)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB109) | (~v184(constB109)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30735,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB109) | (~v184(constB109)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30736,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB109) | (~v184(constB109))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30735, 30734])).
% 80.05/51.94 tff(30737,plain,
% 80.05/51.94 (v183(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30736, 11048, 30733])).
% 80.05/51.94 tff(30738,plain,
% 80.05/51.94 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB109)) | (~v214(constB109)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB109)) | (~v214(constB109)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30739,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB109)) | (~v214(constB109)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30740,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB109)) | (~v214(constB109))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30739, 30738])).
% 80.05/51.94 tff(30741,plain,
% 80.05/51.94 (~v214(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30740, 11189, 30737])).
% 80.05/51.94 tff(30742,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB109) | v215(constB109) | (~v211(constB109)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB109) | v215(constB109) | (~v211(constB109)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30743,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB109) | v215(constB109) | (~v211(constB109)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30744,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB109) | v215(constB109) | (~v211(constB109))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30743, 30742])).
% 80.05/51.94 tff(30745,plain,
% 80.05/51.94 (v215(constB109) | (~v211(constB109))),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30744, 11203, 30741])).
% 80.05/51.94 tff(30746,plain,
% 80.05/51.94 (~v211(constB109)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30745, 30706])).
% 80.05/51.94 tff(30747,plain,
% 80.05/51.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30748,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30749,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 80.05/51.94 tff(30750,plain,
% 80.05/51.94 (v211(constB109) | (~v213(constB110))),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30749, 11218, 13861])).
% 80.05/51.94 tff(30751,plain,
% 80.05/51.94 (~v213(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30750, 30746])).
% 80.05/51.94 tff(30752,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB110) | (~v214(constB110)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB110) | (~v214(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30753,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB110) | (~v214(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30754,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB110) | (~v214(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 80.05/51.94 tff(30755,plain,
% 80.05/51.94 (~v214(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30754, 11230, 30751])).
% 80.05/51.94 tff(30756,plain,
% 80.05/51.94 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30757,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30758,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 80.05/51.94 tff(30759,plain,
% 80.05/51.94 (~v184(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30758, 11111, 13881])).
% 80.05/51.94 tff(30760,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB110) | (~v217(constB110)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB110) | (~v217(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30761,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB110) | (~v217(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30762,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB110) | (~v217(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 80.05/51.94 tff(30763,plain,
% 80.05/51.94 (~v217(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30762, 11245, 30759])).
% 80.05/51.94 tff(30764,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB110) | (~v216(constB110)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB110) | (~v216(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30765,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB110) | (~v216(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30766,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB110) | (~v216(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 80.05/51.94 tff(30767,plain,
% 80.05/51.94 (~v216(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30766, 11256, 30763])).
% 80.05/51.94 tff(30768,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB110) | (~v215(constB110)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB110) | (~v215(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30769,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB110) | (~v215(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30770,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB110) | (~v215(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 80.05/51.94 tff(30771,plain,
% 80.05/51.94 (~v215(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30770, 11267, 30767])).
% 80.05/51.94 tff(30772,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB110) | v215(constB110) | (~v211(constB110)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB110) | v215(constB110) | (~v211(constB110)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30773,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB110) | v215(constB110) | (~v211(constB110)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30774,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB110) | v215(constB110) | (~v211(constB110))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30773, 30772])).
% 80.05/51.94 tff(30775,plain,
% 80.05/51.94 (v214(constB110) | (~v211(constB110))),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30774, 11203, 30771])).
% 80.05/51.94 tff(30776,plain,
% 80.05/51.94 (~v211(constB110)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30775, 30755])).
% 80.05/51.94 tff(30777,plain,
% 80.05/51.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30778,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30779,plain,
% 80.05/51.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30778, 30777])).
% 80.05/51.94 tff(30780,plain,
% 80.05/51.94 (v211(constB110) | (~v213(constB111))),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30779, 11218, 13953])).
% 80.05/51.94 tff(30781,plain,
% 80.05/51.94 (~v213(constB111)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30780, 30776])).
% 80.05/51.94 tff(30782,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB111) | (~v245(constB111)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB111) | (~v245(constB111)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30783,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB111) | (~v245(constB111)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30784,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB111) | (~v245(constB111))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30783, 30782])).
% 80.05/51.94 tff(30785,plain,
% 80.05/51.94 (~v245(constB111)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30784, 11683, 30781])).
% 80.05/51.94 tff(30786,assumption,(v18(constB112)), introduced(assumption)).
% 80.05/51.94 tff(30787,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB112))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30788,plain,
% 80.05/51.94 ($false),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30787, 70, 30786])).
% 80.05/51.94 tff(30789,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.94 tff(30790,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30791,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30792,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30791, 30790])).
% 80.05/51.94 tff(30793,plain,
% 80.05/51.94 (v22(constB112)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30792, 83, 14438])).
% 80.05/51.94 tff(30794,plain,
% 80.05/51.94 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30795,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30796,plain,
% 80.05/51.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112)),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30795, 30794])).
% 80.05/51.94 tff(30797,plain,
% 80.05/51.94 ((~v19(constB112)) | v18(constB112)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30796, 97, 30793])).
% 80.05/51.94 tff(30798,plain,
% 80.05/51.94 (~v19(constB112)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30797, 30789])).
% 80.05/51.94 tff(30799,plain,
% 80.05/51.94 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 80.05/51.94 inference(rewrite,[status(thm)],[])).
% 80.05/51.94 tff(30800,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 80.05/51.94 inference(quant_inst,[status(thm)],[])).
% 80.05/51.94 tff(30801,plain,
% 80.05/51.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 80.05/51.94 inference(modus_ponens,[status(thm)],[30800, 30799])).
% 80.05/51.94 tff(30802,plain,
% 80.05/51.94 (v13(constB112)),
% 80.05/51.94 inference(unit_resolution,[status(thm)],[30801, 112, 30798])).
% 80.05/51.95 tff(30803,plain,
% 80.05/51.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30804,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30805,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111)),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30804, 30803])).
% 80.05/51.95 tff(30806,plain,
% 80.05/51.95 ((~v13(constB112)) | v9(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30805, 129, 14068])).
% 80.05/51.95 tff(30807,plain,
% 80.05/51.95 (v9(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30806, 30802])).
% 80.05/51.95 tff(30808,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v184(constB111))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB111) | (~v9(constB111)) | v184(constB111))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30809,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v184(constB111))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30810,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB111) | (~v9(constB111)) | v184(constB111)),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30809, 30808])).
% 80.05/51.95 tff(30811,plain,
% 80.05/51.95 ((~v9(constB111)) | v184(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30810, 11036, 13950])).
% 80.05/51.95 tff(30812,plain,
% 80.05/51.95 (v184(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30811, 30807])).
% 80.05/51.95 tff(30813,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB111) | (~v184(constB111)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB111) | (~v184(constB111)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30814,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB111) | (~v184(constB111)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30815,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB111) | (~v184(constB111))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30814, 30813])).
% 80.05/51.95 tff(30816,plain,
% 80.05/51.95 (v183(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30815, 11048, 30812])).
% 80.05/51.95 tff(30817,plain,
% 80.05/51.95 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB111)) | (~v244(constB111)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB111)) | (~v244(constB111)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30818,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB111)) | (~v244(constB111)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30819,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB111)) | (~v244(constB111))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30818, 30817])).
% 80.05/51.95 tff(30820,plain,
% 80.05/51.95 (~v244(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30819, 11694, 30816])).
% 80.05/51.95 tff(30821,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB111) | v245(constB111) | (~v241(constB111)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB111) | v245(constB111) | (~v241(constB111)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30822,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB111) | v245(constB111) | (~v241(constB111)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30823,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB111) | v245(constB111) | (~v241(constB111))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30822, 30821])).
% 80.05/51.95 tff(30824,plain,
% 80.05/51.95 (v245(constB111) | (~v241(constB111))),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30823, 11708, 30820])).
% 80.05/51.95 tff(30825,plain,
% 80.05/51.95 (~v241(constB111)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30824, 30785])).
% 80.05/51.95 tff(30826,plain,
% 80.05/51.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30827,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30828,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30827, 30826])).
% 80.05/51.95 tff(30829,plain,
% 80.05/51.95 (v241(constB111) | (~v243(constB112))),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30828, 11723, 14068])).
% 80.05/51.95 tff(30830,plain,
% 80.05/51.95 (~v243(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30829, 30825])).
% 80.05/51.95 tff(30831,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB112) | (~v244(constB112)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB112) | (~v244(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30832,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB112) | (~v244(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30833,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB112) | (~v244(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 80.05/51.95 tff(30834,plain,
% 80.05/51.95 (~v244(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30833, 11735, 30830])).
% 80.05/51.95 tff(30835,plain,
% 80.05/51.95 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB112)) | (~v184(constB112)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB112)) | (~v184(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30836,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB112)) | (~v184(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30837,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB112)) | (~v184(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30836, 30835])).
% 80.05/51.95 tff(30838,plain,
% 80.05/51.95 (~v184(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30837, 11111, 14438])).
% 80.05/51.95 tff(30839,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB112) | (~v247(constB112)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB112) | (~v247(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30840,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB112) | (~v247(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30841,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB112) | (~v247(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30840, 30839])).
% 80.05/51.95 tff(30842,plain,
% 80.05/51.95 (~v247(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30841, 11746, 30838])).
% 80.05/51.95 tff(30843,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB112) | (~v246(constB112)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB112) | (~v246(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30844,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB112) | (~v246(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30845,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB112) | (~v246(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30844, 30843])).
% 80.05/51.95 tff(30846,plain,
% 80.05/51.95 (~v246(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30845, 11757, 30842])).
% 80.05/51.95 tff(30847,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB112) | (~v245(constB112)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB112) | (~v245(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30848,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB112) | (~v245(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30849,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB112) | (~v245(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30848, 30847])).
% 80.05/51.95 tff(30850,plain,
% 80.05/51.95 (~v245(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30849, 11768, 30846])).
% 80.05/51.95 tff(30851,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB112) | v245(constB112) | (~v241(constB112)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB112) | v245(constB112) | (~v241(constB112)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30852,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB112) | v245(constB112) | (~v241(constB112)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30853,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB112) | v245(constB112) | (~v241(constB112))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30852, 30851])).
% 80.05/51.95 tff(30854,plain,
% 80.05/51.95 (v244(constB112) | (~v241(constB112))),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30853, 11708, 30850])).
% 80.05/51.95 tff(30855,plain,
% 80.05/51.95 (~v241(constB112)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30854, 30834])).
% 80.05/51.95 tff(30856,plain,
% 80.05/51.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30857,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30858,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 80.05/51.95 tff(30859,plain,
% 80.05/51.95 (v241(constB112) | (~v243(constB113))),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30858, 11723, 14466])).
% 80.05/51.95 tff(30860,plain,
% 80.05/51.95 (~v243(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30859, 30855])).
% 80.05/51.95 tff(30861,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB113) | (~v260(constB113)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB113) | (~v260(constB113)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30862,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB113) | (~v260(constB113)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30863,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB113) | (~v260(constB113))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 80.05/51.95 tff(30864,plain,
% 80.05/51.95 (~v260(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30863, 12130, 30860])).
% 80.05/51.95 tff(30865,assumption,(v18(constB114)), introduced(assumption)).
% 80.05/51.95 tff(30866,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB114))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30867,plain,
% 80.05/51.95 ($false),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30866, 70, 30865])).
% 80.05/51.95 tff(30868,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.95 tff(30869,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30870,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30871,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30870, 30869])).
% 80.05/51.95 tff(30872,plain,
% 80.05/51.95 (v22(constB114)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30871, 83, 14699])).
% 80.05/51.95 tff(30873,plain,
% 80.05/51.95 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30874,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30875,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114)),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 80.05/51.95 tff(30876,plain,
% 80.05/51.95 ((~v19(constB114)) | v18(constB114)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30875, 97, 30872])).
% 80.05/51.95 tff(30877,plain,
% 80.05/51.95 (~v19(constB114)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30876, 30868])).
% 80.05/51.95 tff(30878,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30879,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30880,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 80.05/51.95 tff(30881,plain,
% 80.05/51.95 (v13(constB114)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30880, 112, 30877])).
% 80.05/51.95 tff(30882,plain,
% 80.05/51.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30883,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30884,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113)),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 80.05/51.95 tff(30885,plain,
% 80.05/51.95 ((~v13(constB114)) | v9(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30884, 129, 14658])).
% 80.05/51.95 tff(30886,plain,
% 80.05/51.95 (v9(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30885, 30881])).
% 80.05/51.95 tff(30887,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30888,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30889,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113)),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 80.05/51.95 tff(30890,plain,
% 80.05/51.95 ((~v9(constB113)) | v184(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30889, 11036, 14463])).
% 80.05/51.95 tff(30891,plain,
% 80.05/51.95 (v184(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30890, 30886])).
% 80.05/51.95 tff(30892,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB113) | (~v184(constB113)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB113) | (~v184(constB113)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30893,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB113) | (~v184(constB113)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30894,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB113) | (~v184(constB113))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30893, 30892])).
% 80.05/51.95 tff(30895,plain,
% 80.05/51.95 (v183(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30894, 11048, 30891])).
% 80.05/51.95 tff(30896,plain,
% 80.05/51.95 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB113)) | (~v259(constB113)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB113)) | (~v259(constB113)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30897,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB113)) | (~v259(constB113)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30898,plain,
% 80.05/51.95 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB113)) | (~v259(constB113))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30897, 30896])).
% 80.05/51.95 tff(30899,plain,
% 80.05/51.95 (~v259(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30898, 12141, 30895])).
% 80.05/51.95 tff(30900,plain,
% 80.05/51.95 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB113) | v260(constB113) | (~v256(constB113)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB113) | v260(constB113) | (~v256(constB113)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30901,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB113) | v260(constB113) | (~v256(constB113)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30902,plain,
% 80.05/51.95 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB113) | v260(constB113) | (~v256(constB113))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30901, 30900])).
% 80.05/51.95 tff(30903,plain,
% 80.05/51.95 (v260(constB113) | (~v256(constB113))),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30902, 12155, 30899])).
% 80.05/51.95 tff(30904,plain,
% 80.05/51.95 (~v256(constB113)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30903, 30864])).
% 80.05/51.95 tff(30905,plain,
% 80.05/51.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB113, constB114)) | v256(constB113) | (~v258(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB113, constB114)) | v256(constB113) | (~v258(constB114)))),
% 80.05/51.95 inference(rewrite,[status(thm)],[])).
% 80.05/51.95 tff(30906,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB113, constB114)) | v256(constB113) | (~v258(constB114)))),
% 80.05/51.95 inference(quant_inst,[status(thm)],[])).
% 80.05/51.95 tff(30907,plain,
% 80.05/51.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB113, constB114)) | v256(constB113) | (~v258(constB114))),
% 80.05/51.95 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 80.05/51.95 tff(30908,plain,
% 80.05/51.95 (v256(constB113) | (~v258(constB114))),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30907, 12170, 14658])).
% 80.05/51.95 tff(30909,plain,
% 80.05/51.95 (~v258(constB114)),
% 80.05/51.95 inference(unit_resolution,[status(thm)],[30908, 30904])).
% 80.05/51.96 tff(30910,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB114) | (~v259(constB114)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB114) | (~v259(constB114)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30911,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB114) | (~v259(constB114)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30912,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB114) | (~v259(constB114))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30911, 30910])).
% 80.05/51.96 tff(30913,plain,
% 80.05/51.96 (~v259(constB114)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30912, 12182, 30909])).
% 80.05/51.96 tff(30914,plain,
% 80.05/51.96 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30915,plain,
% 80.05/51.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30916,plain,
% 80.05/51.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30915, 30914])).
% 80.05/51.96 tff(30917,plain,
% 80.05/51.96 (~v184(constB114)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30916, 11111, 14699])).
% 80.05/51.96 tff(30918,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB114) | (~v262(constB114)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB114) | (~v262(constB114)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30919,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB114) | (~v262(constB114)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30920,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB114) | (~v262(constB114))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30919, 30918])).
% 80.05/51.96 tff(30921,plain,
% 80.05/51.96 (~v262(constB114)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30920, 12193, 30917])).
% 80.05/51.96 tff(30922,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB114) | (~v261(constB114)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB114) | (~v261(constB114)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30923,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB114) | (~v261(constB114)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30924,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB114) | (~v261(constB114))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 80.05/51.96 tff(30925,plain,
% 80.05/51.96 (~v261(constB114)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30924, 12204, 30921])).
% 80.05/51.96 tff(30926,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB114) | (~v260(constB114)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB114) | (~v260(constB114)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30927,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB114) | (~v260(constB114)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30928,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB114) | (~v260(constB114))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 80.05/51.96 tff(30929,plain,
% 80.05/51.96 (~v260(constB114)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30928, 12215, 30925])).
% 80.05/51.96 tff(30930,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB114) | v260(constB114) | (~v256(constB114)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB114) | v260(constB114) | (~v256(constB114)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30931,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB114) | v260(constB114) | (~v256(constB114)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30932,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB114) | v260(constB114) | (~v256(constB114))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 80.05/51.96 tff(30933,plain,
% 80.05/51.96 (v259(constB114) | (~v256(constB114))),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30932, 12155, 30929])).
% 80.05/51.96 tff(30934,plain,
% 80.05/51.96 (~v256(constB114)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30933, 30913])).
% 80.05/51.96 tff(30935,plain,
% 80.05/51.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB114, constB115)) | v256(constB114) | (~v258(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB114, constB115)) | v256(constB114) | (~v258(constB115)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30936,plain,
% 80.05/51.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB114, constB115)) | v256(constB114) | (~v258(constB115)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30937,plain,
% 80.05/51.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB114, constB115)) | v256(constB114) | (~v258(constB115))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30936, 30935])).
% 80.05/51.96 tff(30938,plain,
% 80.05/51.96 (v256(constB114) | (~v258(constB115))),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30937, 12170, 14777])).
% 80.05/51.96 tff(30939,plain,
% 80.05/51.96 (~v258(constB115)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30938, 30934])).
% 80.05/51.96 tff(30940,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB115) | (~v271(constB115)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB115) | (~v271(constB115)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30941,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB115) | (~v271(constB115)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30942,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB115) | (~v271(constB115))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30941, 30940])).
% 80.05/51.96 tff(30943,plain,
% 80.05/51.96 (~v271(constB115)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30942, 12236, 30939])).
% 80.05/51.96 tff(30944,plain,
% 80.05/51.96 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB115)) | (~v270(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB115)) | (~v270(constB115)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30945,plain,
% 80.05/51.96 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB115)) | (~v270(constB115)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30946,plain,
% 80.05/51.96 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB115)) | (~v270(constB115))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30945, 30944])).
% 80.05/51.96 tff(30947,plain,
% 80.05/51.96 (~v270(constB115)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30946, 12247, 30291])).
% 80.05/51.96 tff(30948,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB115)) | v270(constB115) | v271(constB115))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB115)) | v270(constB115) | v271(constB115))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30949,plain,
% 80.05/51.96 ((v271(constB115) | v270(constB115) | (~v267(constB115))) <=> ((~v267(constB115)) | v270(constB115) | v271(constB115))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30950,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB115) | v270(constB115) | (~v267(constB115)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB115)) | v270(constB115) | v271(constB115)))),
% 80.05/51.96 inference(monotonicity,[status(thm)],[30949])).
% 80.05/51.96 tff(30951,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB115) | v270(constB115) | (~v267(constB115)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB115)) | v270(constB115) | v271(constB115))),
% 80.05/51.96 inference(transitivity,[status(thm)],[30950, 30948])).
% 80.05/51.96 tff(30952,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB115) | v270(constB115) | (~v267(constB115)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30953,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB115)) | v270(constB115) | v271(constB115)),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30952, 30951])).
% 80.05/51.96 tff(30954,plain,
% 80.05/51.96 ((~v267(constB115)) | v271(constB115)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30953, 12261, 30947])).
% 80.05/51.96 tff(30955,plain,
% 80.05/51.96 (~v267(constB115)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30954, 30943])).
% 80.05/51.96 tff(30956,plain,
% 80.05/51.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB115, constB116)) | v267(constB115) | (~v269(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB115, constB116)) | v267(constB115) | (~v269(constB116)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30957,plain,
% 80.05/51.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB115, constB116)) | v267(constB115) | (~v269(constB116)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30958,plain,
% 80.05/51.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB115, constB116)) | v267(constB115) | (~v269(constB116))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30957, 30956])).
% 80.05/51.96 tff(30959,plain,
% 80.05/51.96 (v267(constB115) | (~v269(constB116))),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30958, 12279, 14865])).
% 80.05/51.96 tff(30960,plain,
% 80.05/51.96 (~v269(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30959, 30955])).
% 80.05/51.96 tff(30961,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB116) | (~v270(constB116)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB116) | (~v270(constB116)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30962,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB116) | (~v270(constB116)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30963,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB116) | (~v270(constB116))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30962, 30961])).
% 80.05/51.96 tff(30964,plain,
% 80.05/51.96 (~v270(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30963, 12291, 30960])).
% 80.05/51.96 tff(30965,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB116) | (~v262(constB116)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB116) | (~v262(constB116)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30966,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB116) | (~v262(constB116)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30967,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB116) | (~v262(constB116))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30966, 30965])).
% 80.05/51.96 tff(30968,plain,
% 80.05/51.96 (~v262(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30967, 12193, 30313])).
% 80.05/51.96 tff(30969,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB116) | (~v261(constB116)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB116) | (~v261(constB116)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30970,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB116) | (~v261(constB116)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30971,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB116) | (~v261(constB116))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30970, 30969])).
% 80.05/51.96 tff(30972,plain,
% 80.05/51.96 (~v261(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30971, 12204, 30968])).
% 80.05/51.96 tff(30973,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB116) | (~v271(constB116)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB116) | (~v271(constB116)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30974,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB116) | (~v271(constB116)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30975,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB116) | (~v271(constB116))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30974, 30973])).
% 80.05/51.96 tff(30976,plain,
% 80.05/51.96 (~v271(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30975, 12310, 30972])).
% 80.05/51.96 tff(30977,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB116)) | v271(constB116) | v270(constB116))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB116)) | v271(constB116) | v270(constB116))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30978,plain,
% 80.05/51.96 ((v271(constB116) | v270(constB116) | (~v267(constB116))) <=> ((~v267(constB116)) | v271(constB116) | v270(constB116))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30979,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB116) | v270(constB116) | (~v267(constB116)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB116)) | v271(constB116) | v270(constB116)))),
% 80.05/51.96 inference(monotonicity,[status(thm)],[30978])).
% 80.05/51.96 tff(30980,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB116) | v270(constB116) | (~v267(constB116)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB116)) | v271(constB116) | v270(constB116))),
% 80.05/51.96 inference(transitivity,[status(thm)],[30979, 30977])).
% 80.05/51.96 tff(30981,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB116) | v270(constB116) | (~v267(constB116)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30982,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB116)) | v271(constB116) | v270(constB116)),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 80.05/51.96 tff(30983,plain,
% 80.05/51.96 ((~v267(constB116)) | v270(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30982, 12261, 30976])).
% 80.05/51.96 tff(30984,plain,
% 80.05/51.96 (~v267(constB116)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30983, 30964])).
% 80.05/51.96 tff(30985,plain,
% 80.05/51.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB116, constB117)) | v267(constB116) | (~v269(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB116, constB117)) | v267(constB116) | (~v269(constB117)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30986,plain,
% 80.05/51.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB116, constB117)) | v267(constB116) | (~v269(constB117)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30987,plain,
% 80.05/51.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB116, constB117)) | v267(constB116) | (~v269(constB117))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30986, 30985])).
% 80.05/51.96 tff(30988,plain,
% 80.05/51.96 (v267(constB116) | (~v269(constB117))),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30987, 12279, 14983])).
% 80.05/51.96 tff(30989,plain,
% 80.05/51.96 (~v269(constB117)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30988, 30984])).
% 80.05/51.96 tff(30990,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB117) | (~v307(constB117)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB117) | (~v307(constB117)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30991,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB117) | (~v307(constB117)))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30992,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB117) | (~v307(constB117))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 80.05/51.96 tff(30993,plain,
% 80.05/51.96 (~v307(constB117)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30992, 20510, 30989])).
% 80.05/51.96 tff(30994,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB117) | v307(constB117) | (~v290(constB117)))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB117) | v307(constB117) | (~v290(constB117)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30995,plain,
% 80.05/51.96 ((v307(constB117) | (~v290(constB117)) | v289(constB117)) <=> (v289(constB117) | v307(constB117) | (~v290(constB117)))),
% 80.05/51.96 inference(rewrite,[status(thm)],[])).
% 80.05/51.96 tff(30996,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB117) | (~v290(constB117)) | v289(constB117))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB117) | v307(constB117) | (~v290(constB117))))),
% 80.05/51.96 inference(monotonicity,[status(thm)],[30995])).
% 80.05/51.96 tff(30997,plain,
% 80.05/51.96 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB117) | (~v290(constB117)) | v289(constB117))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB117) | v307(constB117) | (~v290(constB117)))),
% 80.05/51.96 inference(transitivity,[status(thm)],[30996, 30994])).
% 80.05/51.96 tff(30998,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB117) | (~v290(constB117)) | v289(constB117))),
% 80.05/51.96 inference(quant_inst,[status(thm)],[])).
% 80.05/51.96 tff(30999,plain,
% 80.05/51.96 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB117) | v307(constB117) | (~v290(constB117))),
% 80.05/51.96 inference(modus_ponens,[status(thm)],[30998, 30997])).
% 80.05/51.96 tff(31000,plain,
% 80.05/51.96 (v289(constB117) | (~v290(constB117))),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[30999, 11821, 30993])).
% 80.05/51.96 tff(31001,plain,
% 80.05/51.96 (v289(constB117)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[31000, 30574])).
% 80.05/51.96 tff(31002,plain,
% 80.05/51.96 (v116(constB103)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13173, 1470, 13090])).
% 80.05/51.96 tff(31003,plain,
% 80.05/51.96 (v115(constB103)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13177, 519, 31002])).
% 80.05/51.96 tff(31004,plain,
% 80.05/51.96 (v114(constB103)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13181, 530, 31003])).
% 80.05/51.96 tff(31005,plain,
% 80.05/51.96 (v113(constB103)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13185, 541, 31004])).
% 80.05/51.96 tff(31006,plain,
% 80.05/51.96 (v112(constB103)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13193, 31005])).
% 80.05/51.96 tff(31007,plain,
% 80.05/51.96 (v108(constB103)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13197, 464, 31006])).
% 80.05/51.96 tff(31008,plain,
% 80.05/51.96 (v110(constB104)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13205, 31007])).
% 80.05/51.96 tff(31009,plain,
% 80.05/51.96 (v100(constB104)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13231, 31008])).
% 80.05/51.96 tff(31010,plain,
% 80.05/51.96 (v130(constB103, bitIndex2)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13235, 1417, 13090])).
% 80.05/51.96 tff(31011,plain,
% 80.05/51.96 (v127(constB103, bitIndex2)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13240, 31010])).
% 80.05/51.96 tff(31012,plain,
% 80.05/51.96 (v129(constB104, bitIndex2)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13245, 31011])).
% 80.05/51.96 tff(31013,plain,
% 80.05/51.96 (v90(constB104, bitIndex2) | (~v100(constB104))),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13252, 1539, 31012])).
% 80.05/51.96 tff(31014,plain,
% 80.05/51.96 (v90(constB104, bitIndex2)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[31013, 31009])).
% 80.05/51.96 tff(31015,plain,
% 80.05/51.96 (v90(constB105, bitIndex2)),
% 80.05/51.96 inference(unit_resolution,[status(thm)],[13280, 31014])).
% 80.05/51.96 tff(31016,plain,
% 80.05/51.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31017,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31018,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2)),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31017, 31016])).
% 80.05/51.97 tff(31019,plain,
% 80.05/51.97 (v88(constB105, bitIndex2)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31018, 10735, 31015])).
% 80.05/51.97 tff(31020,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB105)) | (~v88(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB105)) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31021,plain,
% 80.05/51.97 (((~v88(constB105, bitIndex2)) | (~v139(constB105))) <=> ((~v139(constB105)) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31022,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v139(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB105)) | (~v88(constB105, bitIndex2))))),
% 80.05/51.97 inference(monotonicity,[status(thm)],[31021])).
% 80.05/51.97 tff(31023,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v139(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB105)) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(transitivity,[status(thm)],[31022, 31020])).
% 80.05/51.97 tff(31024,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v139(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31025,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB105)) | (~v88(constB105, bitIndex2))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31024, 31023])).
% 80.05/51.97 tff(31026,plain,
% 80.05/51.97 (~v139(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31025, 10882, 31019])).
% 80.05/51.97 tff(31027,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB105)) | (~v88(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB105)) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31028,plain,
% 80.05/51.97 (((~v88(constB105, bitIndex2)) | (~v140(constB105))) <=> ((~v140(constB105)) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31029,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v140(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB105)) | (~v88(constB105, bitIndex2))))),
% 80.05/51.97 inference(monotonicity,[status(thm)],[31028])).
% 80.05/51.97 tff(31030,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v140(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB105)) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(transitivity,[status(thm)],[31029, 31027])).
% 80.05/51.97 tff(31031,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v140(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31032,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB105)) | (~v88(constB105, bitIndex2))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 80.05/51.97 tff(31033,plain,
% 80.05/51.97 (~v140(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31032, 10893, 31019])).
% 80.05/51.97 tff(31034,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v168(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB105) | v140(constB105) | (~v168(constB105)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31035,plain,
% 80.05/51.97 ((v140(constB105) | v139(constB105) | (~v168(constB105))) <=> (v139(constB105) | v140(constB105) | (~v168(constB105)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31036,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v168(constB105))))),
% 80.05/51.97 inference(monotonicity,[status(thm)],[31035])).
% 80.05/51.97 tff(31037,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB105) | v140(constB105) | (~v168(constB105)))),
% 80.05/51.97 inference(transitivity,[status(thm)],[31036, 31034])).
% 80.05/51.97 tff(31038,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31039,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB105) | v140(constB105) | (~v168(constB105))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31038, 31037])).
% 80.05/51.97 tff(31040,plain,
% 80.05/51.97 (~v168(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31039, 10907, 31033, 31026])).
% 80.05/51.97 tff(31041,plain,
% 80.05/51.97 (~v130(constB103, bitIndex1)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13120, 1594, 13090])).
% 80.05/51.97 tff(31042,plain,
% 80.05/51.97 (~v127(constB103, bitIndex1)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13128, 31041])).
% 80.05/51.97 tff(31043,plain,
% 80.05/51.97 (~v129(constB104, bitIndex1)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13133, 31042])).
% 80.05/51.97 tff(31044,plain,
% 80.05/51.97 ((~v90(constB104, bitIndex1)) | (~v100(constB104))),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13305, 747, 31043])).
% 80.05/51.97 tff(31045,plain,
% 80.05/51.97 (~v90(constB104, bitIndex1)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31044, 31009])).
% 80.05/51.97 tff(31046,plain,
% 80.05/51.97 (~v90(constB105, bitIndex1)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13315, 31045])).
% 80.05/51.97 tff(31047,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31048,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31049,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31048, 31047])).
% 80.05/51.97 tff(31050,plain,
% 80.05/51.97 (~v88(constB105, bitIndex1)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31049, 10918, 31046])).
% 80.05/51.97 tff(31051,plain,
% 80.05/51.97 (~v130(constB103, bitIndex0)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13095, 1638, 13090])).
% 80.05/51.97 tff(31052,plain,
% 80.05/51.97 (~v127(constB103, bitIndex0)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13108, 31051])).
% 80.05/51.97 tff(31053,plain,
% 80.05/51.97 (~v129(constB104, bitIndex0)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13116, 31052])).
% 80.05/51.97 tff(31054,plain,
% 80.05/51.97 ((~v90(constB104, bitIndex0)) | (~v100(constB104))),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13288, 1145, 31053])).
% 80.05/51.97 tff(31055,plain,
% 80.05/51.97 (~v90(constB104, bitIndex0)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31054, 31009])).
% 80.05/51.97 tff(31056,plain,
% 80.05/51.97 (~v90(constB105, bitIndex0)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[13298, 31055])).
% 80.05/51.97 tff(31057,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31058,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31059,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31058, 31057])).
% 80.05/51.97 tff(31060,plain,
% 80.05/51.97 (~v88(constB105, bitIndex0)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31059, 10755, 31056])).
% 80.05/51.97 tff(31061,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB105, bitIndex1) | v146(constB105) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB105, bitIndex1) | v146(constB105) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31062,plain,
% 80.05/51.97 (((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105)) <=> (v88(constB105, bitIndex1) | v146(constB105) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31063,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB105, bitIndex1) | v146(constB105) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2))))),
% 80.05/51.97 inference(monotonicity,[status(thm)],[31062])).
% 80.05/51.97 tff(31064,plain,
% 80.05/51.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB105, bitIndex1) | v146(constB105) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2)))),
% 80.05/51.97 inference(transitivity,[status(thm)],[31063, 31061])).
% 80.05/51.97 tff(31065,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31066,plain,
% 80.05/51.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB105, bitIndex1) | v146(constB105) | v88(constB105, bitIndex0) | (~v88(constB105, bitIndex2))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31065, 31064])).
% 80.05/51.97 tff(31067,plain,
% 80.05/51.97 (v146(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31066, 10936, 31019, 31060, 31050])).
% 80.05/51.97 tff(31068,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB105) | (~v146(constB105)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB105) | (~v146(constB105)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31069,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB105) | (~v146(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31070,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB105) | (~v146(constB105))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31069, 31068])).
% 80.05/51.97 tff(31071,plain,
% 80.05/51.97 (v145(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31070, 10950, 31067])).
% 80.05/51.97 tff(31072,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB105) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB105) | (~v145(constB105)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31073,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB105) | (~v145(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31074,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB105) | (~v145(constB105))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 80.05/51.97 tff(31075,plain,
% 80.05/51.97 (v226(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31074, 10961, 31071])).
% 80.05/51.97 tff(31076,plain,
% 80.05/51.97 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB105)) | (~v226(constB105)) | v168(constB105))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB105)) | (~v226(constB105)) | v168(constB105))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31077,plain,
% 80.05/51.97 ((v168(constB105) | (~v226(constB105)) | (~v161(constB105))) <=> ((~v161(constB105)) | (~v226(constB105)) | v168(constB105))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31078,plain,
% 80.05/51.97 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB105) | (~v226(constB105)) | (~v161(constB105)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB105)) | (~v226(constB105)) | v168(constB105)))),
% 80.05/51.97 inference(monotonicity,[status(thm)],[31077])).
% 80.05/51.97 tff(31079,plain,
% 80.05/51.97 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB105) | (~v226(constB105)) | (~v161(constB105)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB105)) | (~v226(constB105)) | v168(constB105))),
% 80.05/51.97 inference(transitivity,[status(thm)],[31078, 31076])).
% 80.05/51.97 tff(31080,plain,
% 80.05/51.97 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB105) | (~v226(constB105)) | (~v161(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31081,plain,
% 80.05/51.97 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB105)) | (~v226(constB105)) | v168(constB105)),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 80.05/51.97 tff(31082,plain,
% 80.05/51.97 (~v161(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31081, 10975, 31075, 31040])).
% 80.05/51.97 tff(31083,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB105) | (~v187(constB105)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB105) | (~v187(constB105)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31084,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB105) | (~v187(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31085,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB105) | (~v187(constB105))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31084, 31083])).
% 80.05/51.97 tff(31086,plain,
% 80.05/51.97 (~v187(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31085, 10989, 31082])).
% 80.05/51.97 tff(31087,plain,
% 80.05/51.97 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB105) | (~v185(constB105)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB105) | (~v185(constB105)))),
% 80.05/51.97 inference(rewrite,[status(thm)],[])).
% 80.05/51.97 tff(31088,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB105) | (~v185(constB105)))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31089,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB105) | (~v185(constB105))),
% 80.05/51.97 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 80.05/51.97 tff(31090,plain,
% 80.05/51.97 (~v185(constB105)),
% 80.05/51.97 inference(unit_resolution,[status(thm)],[31089, 11000, 31086])).
% 80.05/51.97 tff(31091,assumption,(v18(constB106)), introduced(assumption)).
% 80.05/51.97 tff(31092,plain,
% 80.05/51.97 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB106))),
% 80.05/51.97 inference(quant_inst,[status(thm)],[])).
% 80.05/51.97 tff(31093,plain,
% 80.05/51.97 ($false),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31092, 70, 31091])).
% 80.05/51.98 tff(31094,plain,(~v18(constB106)), inference(lemma,lemma(discharge,[]))).
% 80.05/51.98 tff(31095,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31096,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31097,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31096, 31095])).
% 80.05/51.98 tff(31098,plain,
% 80.05/51.98 (v22(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31097, 83, 13380])).
% 80.05/51.98 tff(31099,plain,
% 80.05/51.98 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB106)) | (~v22(constB106)) | v18(constB106))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB106)) | (~v22(constB106)) | v18(constB106))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31100,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB106)) | (~v22(constB106)) | v18(constB106))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31101,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB106)) | (~v22(constB106)) | v18(constB106)),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31100, 31099])).
% 80.05/51.98 tff(31102,plain,
% 80.05/51.98 ((~v19(constB106)) | v18(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31101, 97, 31098])).
% 80.05/51.98 tff(31103,plain,
% 80.05/51.98 (~v19(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31102, 31094])).
% 80.05/51.98 tff(31104,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31105,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31106,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106)),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31105, 31104])).
% 80.05/51.98 tff(31107,plain,
% 80.05/51.98 (v13(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31106, 112, 31103])).
% 80.05/51.98 tff(31108,plain,
% 80.05/51.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31109,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31110,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105)),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31109, 31108])).
% 80.05/51.98 tff(31111,plain,
% 80.05/51.98 ((~v13(constB106)) | v9(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31110, 129, 13360])).
% 80.05/51.98 tff(31112,plain,
% 80.05/51.98 (v9(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31111, 31107])).
% 80.05/51.98 tff(31113,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v184(constB105))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB105) | (~v9(constB105)) | v184(constB105))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31114,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v184(constB105))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31115,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB105) | (~v9(constB105)) | v184(constB105)),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31114, 31113])).
% 80.05/51.98 tff(31116,plain,
% 80.05/51.98 ((~v9(constB105)) | v184(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31115, 11036, 13257])).
% 80.05/51.98 tff(31117,plain,
% 80.05/51.98 (v184(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31116, 31112])).
% 80.05/51.98 tff(31118,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB105) | (~v184(constB105)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB105) | (~v184(constB105)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31119,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB105) | (~v184(constB105)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31120,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB105) | (~v184(constB105))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 80.05/51.98 tff(31121,plain,
% 80.05/51.98 (v183(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31120, 11048, 31117])).
% 80.05/51.98 tff(31122,plain,
% 80.05/51.98 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB105)) | (~v181(constB105)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB105)) | (~v181(constB105)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31123,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB105)) | (~v181(constB105)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31124,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB105)) | (~v181(constB105))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31123, 31122])).
% 80.05/51.98 tff(31125,plain,
% 80.05/51.98 (~v181(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31124, 11059, 31121])).
% 80.05/51.98 tff(31126,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB105) | v185(constB105) | (~v178(constB105)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB105) | v185(constB105) | (~v178(constB105)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31127,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB105) | v185(constB105) | (~v178(constB105)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31128,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB105) | v185(constB105) | (~v178(constB105))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31127, 31126])).
% 80.05/51.98 tff(31129,plain,
% 80.05/51.98 (v185(constB105) | (~v178(constB105))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31128, 11073, 31125])).
% 80.05/51.98 tff(31130,plain,
% 80.05/51.98 (~v178(constB105)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31129, 31090])).
% 80.05/51.98 tff(31131,plain,
% 80.05/51.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31132,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31133,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31132, 31131])).
% 80.05/51.98 tff(31134,plain,
% 80.05/51.98 (v178(constB105) | (~v180(constB106))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31133, 11088, 13360])).
% 80.05/51.98 tff(31135,plain,
% 80.05/51.98 (~v180(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31134, 31130])).
% 80.05/51.98 tff(31136,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB106) | (~v181(constB106)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB106) | (~v181(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31137,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB106) | (~v181(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31138,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB106) | (~v181(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31137, 31136])).
% 80.05/51.98 tff(31139,plain,
% 80.05/51.98 (~v181(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31138, 11100, 31135])).
% 80.05/51.98 tff(31140,plain,
% 80.05/51.98 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB106)) | (~v184(constB106)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB106)) | (~v184(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31141,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB106)) | (~v184(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31142,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB106)) | (~v184(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31141, 31140])).
% 80.05/51.98 tff(31143,plain,
% 80.05/51.98 (~v184(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31142, 11111, 13380])).
% 80.05/51.98 tff(31144,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB106) | (~v187(constB106)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB106) | (~v187(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31145,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB106) | (~v187(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31146,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB106) | (~v187(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31145, 31144])).
% 80.05/51.98 tff(31147,plain,
% 80.05/51.98 (~v187(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31146, 11122, 31143])).
% 80.05/51.98 tff(31148,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB106) | (~v185(constB106)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB106) | (~v185(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31149,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB106) | (~v185(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31150,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB106) | (~v185(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31149, 31148])).
% 80.05/51.98 tff(31151,plain,
% 80.05/51.98 (~v185(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31150, 11000, 31147])).
% 80.05/51.98 tff(31152,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB106) | v185(constB106) | (~v178(constB106)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB106) | v185(constB106) | (~v178(constB106)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31153,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB106) | v185(constB106) | (~v178(constB106)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31154,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB106) | v185(constB106) | (~v178(constB106))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31153, 31152])).
% 80.05/51.98 tff(31155,plain,
% 80.05/51.98 (v181(constB106) | (~v178(constB106))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31154, 11073, 31151])).
% 80.05/51.98 tff(31156,plain,
% 80.05/51.98 (~v178(constB106)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31155, 31139])).
% 80.05/51.98 tff(31157,plain,
% 80.05/51.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31158,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31159,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31158, 31157])).
% 80.05/51.98 tff(31160,plain,
% 80.05/51.98 (v178(constB106) | (~v180(constB107))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31159, 11088, 13426])).
% 80.05/51.98 tff(31161,plain,
% 80.05/51.98 (~v180(constB107)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31160, 31156])).
% 80.05/51.98 tff(31162,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB107) | (~v215(constB107)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB107) | (~v215(constB107)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31163,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB107) | (~v215(constB107)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31164,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB107) | (~v215(constB107))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 80.05/51.98 tff(31165,plain,
% 80.05/51.98 (~v215(constB107)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31164, 11147, 31161])).
% 80.05/51.98 tff(31166,plain,
% 80.05/51.98 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB107)) | (~v214(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB107)) | (~v214(constB107)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31167,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB107)) | (~v214(constB107)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31168,plain,
% 80.05/51.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB107)) | (~v214(constB107))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31167, 31166])).
% 80.05/51.98 tff(31169,plain,
% 80.05/51.98 (~v214(constB107)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31168, 11189, 30659])).
% 80.05/51.98 tff(31170,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB107) | v215(constB107) | (~v211(constB107)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB107) | v215(constB107) | (~v211(constB107)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31171,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB107) | v215(constB107) | (~v211(constB107)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31172,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB107) | v215(constB107) | (~v211(constB107))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31171, 31170])).
% 80.05/51.98 tff(31173,plain,
% 80.05/51.98 (v215(constB107) | (~v211(constB107))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31172, 11203, 31169])).
% 80.05/51.98 tff(31174,plain,
% 80.05/51.98 (~v211(constB107)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31173, 31165])).
% 80.05/51.98 tff(31175,plain,
% 80.05/51.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB107, constB108)) | v211(constB107) | (~v213(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB107, constB108)) | v211(constB107) | (~v213(constB108)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31176,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB107, constB108)) | v211(constB107) | (~v213(constB108)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31177,plain,
% 80.05/51.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB107, constB108)) | v211(constB107) | (~v213(constB108))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31176, 31175])).
% 80.05/51.98 tff(31178,plain,
% 80.05/51.98 (v211(constB107) | (~v213(constB108))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31177, 11218, 13532])).
% 80.05/51.98 tff(31179,plain,
% 80.05/51.98 (~v213(constB108)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31178, 31174])).
% 80.05/51.98 tff(31180,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB108) | (~v214(constB108)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB108) | (~v214(constB108)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31181,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB108) | (~v214(constB108)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31182,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB108) | (~v214(constB108))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 80.05/51.98 tff(31183,plain,
% 80.05/51.98 (~v214(constB108)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31182, 11230, 31179])).
% 80.05/51.98 tff(31184,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB108) | (~v217(constB108)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB108) | (~v217(constB108)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31185,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB108) | (~v217(constB108)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31186,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB108) | (~v217(constB108))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31185, 31184])).
% 80.05/51.98 tff(31187,plain,
% 80.05/51.98 (~v217(constB108)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31186, 11245, 30684])).
% 80.05/51.98 tff(31188,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB108) | (~v216(constB108)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB108) | (~v216(constB108)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31189,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB108) | (~v216(constB108)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31190,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB108) | (~v216(constB108))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31189, 31188])).
% 80.05/51.98 tff(31191,plain,
% 80.05/51.98 (~v216(constB108)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31190, 11256, 31187])).
% 80.05/51.98 tff(31192,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB108) | (~v215(constB108)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB108) | (~v215(constB108)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31193,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB108) | (~v215(constB108)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31194,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB108) | (~v215(constB108))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 80.05/51.98 tff(31195,plain,
% 80.05/51.98 (~v215(constB108)),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31194, 11267, 31191])).
% 80.05/51.98 tff(31196,plain,
% 80.05/51.98 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB108) | v215(constB108) | (~v211(constB108)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB108) | v215(constB108) | (~v211(constB108)))),
% 80.05/51.98 inference(rewrite,[status(thm)],[])).
% 80.05/51.98 tff(31197,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB108) | v215(constB108) | (~v211(constB108)))),
% 80.05/51.98 inference(quant_inst,[status(thm)],[])).
% 80.05/51.98 tff(31198,plain,
% 80.05/51.98 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB108) | v215(constB108) | (~v211(constB108))),
% 80.05/51.98 inference(modus_ponens,[status(thm)],[31197, 31196])).
% 80.05/51.98 tff(31199,plain,
% 80.05/51.98 (v214(constB108) | (~v211(constB108))),
% 80.05/51.98 inference(unit_resolution,[status(thm)],[31198, 11203, 31195])).
% 80.05/51.99 tff(31200,plain,
% 80.05/51.99 (~v211(constB108)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31199, 31183])).
% 80.05/51.99 tff(31201,plain,
% 80.05/51.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB108, constB109)) | v211(constB108) | (~v213(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB108, constB109)) | v211(constB108) | (~v213(constB109)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31202,plain,
% 80.05/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB108, constB109)) | v211(constB108) | (~v213(constB109)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31203,plain,
% 80.05/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB108, constB109)) | v211(constB108) | (~v213(constB109))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 80.05/51.99 tff(31204,plain,
% 80.05/51.99 (v211(constB108) | (~v213(constB109))),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31203, 11218, 13751])).
% 80.05/51.99 tff(31205,plain,
% 80.05/51.99 (~v213(constB109)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31204, 31200])).
% 80.05/51.99 tff(31206,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB109) | (~v245(constB109)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB109) | (~v245(constB109)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31207,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB109) | (~v245(constB109)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31208,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB109) | (~v245(constB109))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31207, 31206])).
% 80.05/51.99 tff(31209,plain,
% 80.05/51.99 (~v245(constB109)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31208, 11683, 31205])).
% 80.05/51.99 tff(31210,plain,
% 80.05/51.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB109)) | (~v244(constB109)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB109)) | (~v244(constB109)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31211,plain,
% 80.05/51.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB109)) | (~v244(constB109)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31212,plain,
% 80.05/51.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB109)) | (~v244(constB109))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31211, 31210])).
% 80.05/51.99 tff(31213,plain,
% 80.05/51.99 (~v244(constB109)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31212, 11694, 30737])).
% 80.05/51.99 tff(31214,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB109) | v245(constB109) | (~v241(constB109)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB109) | v245(constB109) | (~v241(constB109)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31215,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB109) | v245(constB109) | (~v241(constB109)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31216,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB109) | v245(constB109) | (~v241(constB109))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 80.05/51.99 tff(31217,plain,
% 80.05/51.99 (v245(constB109) | (~v241(constB109))),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31216, 11708, 31213])).
% 80.05/51.99 tff(31218,plain,
% 80.05/51.99 (~v241(constB109)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31217, 31209])).
% 80.05/51.99 tff(31219,plain,
% 80.05/51.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB109, constB110)) | v241(constB109) | (~v243(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB109, constB110)) | v241(constB109) | (~v243(constB110)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31220,plain,
% 80.05/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB109, constB110)) | v241(constB109) | (~v243(constB110)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31221,plain,
% 80.05/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB109, constB110)) | v241(constB109) | (~v243(constB110))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31220, 31219])).
% 80.05/51.99 tff(31222,plain,
% 80.05/51.99 (v241(constB109) | (~v243(constB110))),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31221, 11723, 13861])).
% 80.05/51.99 tff(31223,plain,
% 80.05/51.99 (~v243(constB110)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31222, 31218])).
% 80.05/51.99 tff(31224,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB110) | (~v244(constB110)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB110) | (~v244(constB110)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31225,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB110) | (~v244(constB110)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31226,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB110) | (~v244(constB110))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31225, 31224])).
% 80.05/51.99 tff(31227,plain,
% 80.05/51.99 (~v244(constB110)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31226, 11735, 31223])).
% 80.05/51.99 tff(31228,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB110) | (~v247(constB110)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB110) | (~v247(constB110)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31229,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB110) | (~v247(constB110)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31230,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB110) | (~v247(constB110))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31229, 31228])).
% 80.05/51.99 tff(31231,plain,
% 80.05/51.99 (~v247(constB110)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31230, 11746, 30759])).
% 80.05/51.99 tff(31232,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB110) | (~v246(constB110)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB110) | (~v246(constB110)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31233,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB110) | (~v246(constB110)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31234,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB110) | (~v246(constB110))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31233, 31232])).
% 80.05/51.99 tff(31235,plain,
% 80.05/51.99 (~v246(constB110)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31234, 11757, 31231])).
% 80.05/51.99 tff(31236,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB110) | (~v245(constB110)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB110) | (~v245(constB110)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31237,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB110) | (~v245(constB110)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31238,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB110) | (~v245(constB110))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31237, 31236])).
% 80.05/51.99 tff(31239,plain,
% 80.05/51.99 (~v245(constB110)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31238, 11768, 31235])).
% 80.05/51.99 tff(31240,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB110) | v245(constB110) | (~v241(constB110)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB110) | v245(constB110) | (~v241(constB110)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31241,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB110) | v245(constB110) | (~v241(constB110)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31242,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB110) | v245(constB110) | (~v241(constB110))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31241, 31240])).
% 80.05/51.99 tff(31243,plain,
% 80.05/51.99 (v244(constB110) | (~v241(constB110))),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31242, 11708, 31239])).
% 80.05/51.99 tff(31244,plain,
% 80.05/51.99 (~v241(constB110)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31243, 31227])).
% 80.05/51.99 tff(31245,plain,
% 80.05/51.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB110, constB111)) | v241(constB110) | (~v243(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB110, constB111)) | v241(constB110) | (~v243(constB111)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31246,plain,
% 80.05/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB110, constB111)) | v241(constB110) | (~v243(constB111)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31247,plain,
% 80.05/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB110, constB111)) | v241(constB110) | (~v243(constB111))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 80.05/51.99 tff(31248,plain,
% 80.05/51.99 (v241(constB110) | (~v243(constB111))),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31247, 11723, 13953])).
% 80.05/51.99 tff(31249,plain,
% 80.05/51.99 (~v243(constB111)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31248, 31244])).
% 80.05/51.99 tff(31250,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB111) | (~v260(constB111)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB111) | (~v260(constB111)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31251,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB111) | (~v260(constB111)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31252,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB111) | (~v260(constB111))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31251, 31250])).
% 80.05/51.99 tff(31253,plain,
% 80.05/51.99 (~v260(constB111)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31252, 12130, 31249])).
% 80.05/51.99 tff(31254,plain,
% 80.05/51.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB111)) | (~v259(constB111)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB111)) | (~v259(constB111)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31255,plain,
% 80.05/51.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB111)) | (~v259(constB111)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31256,plain,
% 80.05/51.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB111)) | (~v259(constB111))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31255, 31254])).
% 80.05/51.99 tff(31257,plain,
% 80.05/51.99 (~v259(constB111)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31256, 12141, 30816])).
% 80.05/51.99 tff(31258,plain,
% 80.05/51.99 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB111) | v260(constB111) | (~v256(constB111)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB111) | v260(constB111) | (~v256(constB111)))),
% 80.05/51.99 inference(rewrite,[status(thm)],[])).
% 80.05/51.99 tff(31259,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB111) | v260(constB111) | (~v256(constB111)))),
% 80.05/51.99 inference(quant_inst,[status(thm)],[])).
% 80.05/51.99 tff(31260,plain,
% 80.05/51.99 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB111) | v260(constB111) | (~v256(constB111))),
% 80.05/51.99 inference(modus_ponens,[status(thm)],[31259, 31258])).
% 80.05/51.99 tff(31261,plain,
% 80.05/51.99 (v260(constB111) | (~v256(constB111))),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31260, 12155, 31257])).
% 80.05/51.99 tff(31262,plain,
% 80.05/51.99 (~v256(constB111)),
% 80.05/51.99 inference(unit_resolution,[status(thm)],[31261, 31253])).
% 80.16/51.99 tff(31263,plain,
% 80.16/51.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB111, constB112)) | v256(constB111) | (~v258(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB111, constB112)) | v256(constB111) | (~v258(constB112)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31264,plain,
% 80.16/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB111, constB112)) | v256(constB111) | (~v258(constB112)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31265,plain,
% 80.16/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB111, constB112)) | v256(constB111) | (~v258(constB112))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 80.16/51.99 tff(31266,plain,
% 80.16/51.99 (v256(constB111) | (~v258(constB112))),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31265, 12170, 14068])).
% 80.16/51.99 tff(31267,plain,
% 80.16/51.99 (~v258(constB112)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31266, 31262])).
% 80.16/51.99 tff(31268,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB112) | (~v259(constB112)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB112) | (~v259(constB112)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31269,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB112) | (~v259(constB112)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31270,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB112) | (~v259(constB112))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 80.16/51.99 tff(31271,plain,
% 80.16/51.99 (~v259(constB112)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31270, 12182, 31267])).
% 80.16/51.99 tff(31272,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB112) | (~v262(constB112)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB112) | (~v262(constB112)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31273,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB112) | (~v262(constB112)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31274,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB112) | (~v262(constB112))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31273, 31272])).
% 80.16/51.99 tff(31275,plain,
% 80.16/51.99 (~v262(constB112)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31274, 12193, 30838])).
% 80.16/51.99 tff(31276,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB112) | (~v261(constB112)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB112) | (~v261(constB112)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31277,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB112) | (~v261(constB112)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31278,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB112) | (~v261(constB112))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31277, 31276])).
% 80.16/51.99 tff(31279,plain,
% 80.16/51.99 (~v261(constB112)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31278, 12204, 31275])).
% 80.16/51.99 tff(31280,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB112) | (~v260(constB112)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB112) | (~v260(constB112)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31281,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB112) | (~v260(constB112)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31282,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB112) | (~v260(constB112))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31281, 31280])).
% 80.16/51.99 tff(31283,plain,
% 80.16/51.99 (~v260(constB112)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31282, 12215, 31279])).
% 80.16/51.99 tff(31284,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB112) | v260(constB112) | (~v256(constB112)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB112) | v260(constB112) | (~v256(constB112)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31285,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB112) | v260(constB112) | (~v256(constB112)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31286,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB112) | v260(constB112) | (~v256(constB112))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31285, 31284])).
% 80.16/51.99 tff(31287,plain,
% 80.16/51.99 (v259(constB112) | (~v256(constB112))),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31286, 12155, 31283])).
% 80.16/51.99 tff(31288,plain,
% 80.16/51.99 (~v256(constB112)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31287, 31271])).
% 80.16/51.99 tff(31289,plain,
% 80.16/51.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB112, constB113)) | v256(constB112) | (~v258(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB112, constB113)) | v256(constB112) | (~v258(constB113)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31290,plain,
% 80.16/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB112, constB113)) | v256(constB112) | (~v258(constB113)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31291,plain,
% 80.16/51.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB112, constB113)) | v256(constB112) | (~v258(constB113))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 80.16/51.99 tff(31292,plain,
% 80.16/51.99 (v256(constB112) | (~v258(constB113))),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31291, 12170, 14466])).
% 80.16/51.99 tff(31293,plain,
% 80.16/51.99 (~v258(constB113)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31292, 31288])).
% 80.16/51.99 tff(31294,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB113) | (~v271(constB113)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB113) | (~v271(constB113)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31295,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB113) | (~v271(constB113)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31296,plain,
% 80.16/51.99 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB113) | (~v271(constB113))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31295, 31294])).
% 80.16/51.99 tff(31297,plain,
% 80.16/51.99 (~v271(constB113)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31296, 12236, 31293])).
% 80.16/51.99 tff(31298,plain,
% 80.16/51.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB113)) | (~v270(constB113)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB113)) | (~v270(constB113)))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31299,plain,
% 80.16/51.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB113)) | (~v270(constB113)))),
% 80.16/51.99 inference(quant_inst,[status(thm)],[])).
% 80.16/51.99 tff(31300,plain,
% 80.16/51.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB113)) | (~v270(constB113))),
% 80.16/51.99 inference(modus_ponens,[status(thm)],[31299, 31298])).
% 80.16/51.99 tff(31301,plain,
% 80.16/51.99 (~v270(constB113)),
% 80.16/51.99 inference(unit_resolution,[status(thm)],[31300, 12247, 30895])).
% 80.16/51.99 tff(31302,plain,
% 80.16/51.99 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB113)) | v270(constB113) | v271(constB113))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB113)) | v270(constB113) | v271(constB113))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/51.99 tff(31303,plain,
% 80.16/51.99 ((v271(constB113) | v270(constB113) | (~v267(constB113))) <=> ((~v267(constB113)) | v270(constB113) | v271(constB113))),
% 80.16/51.99 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31304,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB113) | v270(constB113) | (~v267(constB113)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB113)) | v270(constB113) | v271(constB113)))),
% 80.16/52.00 inference(monotonicity,[status(thm)],[31303])).
% 80.16/52.00 tff(31305,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB113) | v270(constB113) | (~v267(constB113)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB113)) | v270(constB113) | v271(constB113))),
% 80.16/52.00 inference(transitivity,[status(thm)],[31304, 31302])).
% 80.16/52.00 tff(31306,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB113) | v270(constB113) | (~v267(constB113)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31307,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB113)) | v270(constB113) | v271(constB113)),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31306, 31305])).
% 80.16/52.00 tff(31308,plain,
% 80.16/52.00 ((~v267(constB113)) | v271(constB113)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31307, 12261, 31301])).
% 80.16/52.00 tff(31309,plain,
% 80.16/52.00 (~v267(constB113)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31308, 31297])).
% 80.16/52.00 tff(31310,plain,
% 80.16/52.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB113, constB114)) | v267(constB113) | (~v269(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB113, constB114)) | v267(constB113) | (~v269(constB114)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31311,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB113, constB114)) | v267(constB113) | (~v269(constB114)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31312,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB113, constB114)) | v267(constB113) | (~v269(constB114))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31311, 31310])).
% 80.16/52.00 tff(31313,plain,
% 80.16/52.00 (v267(constB113) | (~v269(constB114))),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31312, 12279, 14658])).
% 80.16/52.00 tff(31314,plain,
% 80.16/52.00 (~v269(constB114)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31313, 31309])).
% 80.16/52.00 tff(31315,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB114) | (~v270(constB114)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB114) | (~v270(constB114)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31316,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB114) | (~v270(constB114)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31317,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB114) | (~v270(constB114))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 80.16/52.00 tff(31318,plain,
% 80.16/52.00 (~v270(constB114)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31317, 12291, 31314])).
% 80.16/52.00 tff(31319,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB114) | (~v271(constB114)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB114) | (~v271(constB114)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31320,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB114) | (~v271(constB114)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31321,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB114) | (~v271(constB114))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 80.16/52.00 tff(31322,plain,
% 80.16/52.00 (~v271(constB114)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31321, 12310, 30925])).
% 80.16/52.00 tff(31323,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB114)) | v271(constB114) | v270(constB114))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB114)) | v271(constB114) | v270(constB114))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31324,plain,
% 80.16/52.00 ((v271(constB114) | v270(constB114) | (~v267(constB114))) <=> ((~v267(constB114)) | v271(constB114) | v270(constB114))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31325,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB114) | v270(constB114) | (~v267(constB114)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB114)) | v271(constB114) | v270(constB114)))),
% 80.16/52.00 inference(monotonicity,[status(thm)],[31324])).
% 80.16/52.00 tff(31326,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB114) | v270(constB114) | (~v267(constB114)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB114)) | v271(constB114) | v270(constB114))),
% 80.16/52.00 inference(transitivity,[status(thm)],[31325, 31323])).
% 80.16/52.00 tff(31327,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB114) | v270(constB114) | (~v267(constB114)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31328,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB114)) | v271(constB114) | v270(constB114)),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31327, 31326])).
% 80.16/52.00 tff(31329,plain,
% 80.16/52.00 ((~v267(constB114)) | v270(constB114)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31328, 12261, 31322])).
% 80.16/52.00 tff(31330,plain,
% 80.16/52.00 (~v267(constB114)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31329, 31318])).
% 80.16/52.00 tff(31331,plain,
% 80.16/52.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB114, constB115)) | v267(constB114) | (~v269(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB114, constB115)) | v267(constB114) | (~v269(constB115)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31332,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB114, constB115)) | v267(constB114) | (~v269(constB115)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31333,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB114, constB115)) | v267(constB114) | (~v269(constB115))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 80.16/52.00 tff(31334,plain,
% 80.16/52.00 (v267(constB114) | (~v269(constB115))),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31333, 12279, 14777])).
% 80.16/52.00 tff(31335,plain,
% 80.16/52.00 (~v269(constB115)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31334, 31330])).
% 80.16/52.00 tff(31336,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB115) | (~v282(constB115)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB115) | (~v282(constB115)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31337,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB115) | (~v282(constB115)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31338,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB115) | (~v282(constB115))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 80.16/52.00 tff(31339,plain,
% 80.16/52.00 (~v282(constB115)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31338, 12334, 31335])).
% 80.16/52.00 tff(31340,plain,
% 80.16/52.00 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB115)) | (~v281(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB115)) | (~v281(constB115)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31341,plain,
% 80.16/52.00 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB115)) | (~v281(constB115)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31342,plain,
% 80.16/52.00 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB115)) | (~v281(constB115))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 80.16/52.00 tff(31343,plain,
% 80.16/52.00 (~v281(constB115)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31342, 12345, 30291])).
% 80.16/52.00 tff(31344,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB115)) | v281(constB115) | v282(constB115))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB115)) | v281(constB115) | v282(constB115))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31345,plain,
% 80.16/52.00 ((v282(constB115) | v281(constB115) | (~v278(constB115))) <=> ((~v278(constB115)) | v281(constB115) | v282(constB115))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31346,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB115) | v281(constB115) | (~v278(constB115)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB115)) | v281(constB115) | v282(constB115)))),
% 80.16/52.00 inference(monotonicity,[status(thm)],[31345])).
% 80.16/52.00 tff(31347,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB115) | v281(constB115) | (~v278(constB115)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB115)) | v281(constB115) | v282(constB115))),
% 80.16/52.00 inference(transitivity,[status(thm)],[31346, 31344])).
% 80.16/52.00 tff(31348,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB115) | v281(constB115) | (~v278(constB115)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31349,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB115)) | v281(constB115) | v282(constB115)),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 80.16/52.00 tff(31350,plain,
% 80.16/52.00 ((~v278(constB115)) | v282(constB115)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31349, 12359, 31343])).
% 80.16/52.00 tff(31351,plain,
% 80.16/52.00 (~v278(constB115)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31350, 31339])).
% 80.16/52.00 tff(31352,plain,
% 80.16/52.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB115, constB116)) | v278(constB115) | (~v280(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB115, constB116)) | v278(constB115) | (~v280(constB116)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31353,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB115, constB116)) | v278(constB115) | (~v280(constB116)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31354,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB115, constB116)) | v278(constB115) | (~v280(constB116))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 80.16/52.00 tff(31355,plain,
% 80.16/52.00 (v278(constB115) | (~v280(constB116))),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31354, 12377, 14865])).
% 80.16/52.00 tff(31356,plain,
% 80.16/52.00 (~v280(constB116)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31355, 31351])).
% 80.16/52.00 tff(31357,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB116) | (~v281(constB116)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB116) | (~v281(constB116)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31358,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB116) | (~v281(constB116)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31359,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB116) | (~v281(constB116))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31358, 31357])).
% 80.16/52.00 tff(31360,plain,
% 80.16/52.00 (~v281(constB116)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31359, 12389, 31356])).
% 80.16/52.00 tff(31361,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB116) | (~v282(constB116)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB116) | (~v282(constB116)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31362,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB116) | (~v282(constB116)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31363,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB116) | (~v282(constB116))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 80.16/52.00 tff(31364,plain,
% 80.16/52.00 (~v282(constB116)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31363, 12400, 30321])).
% 80.16/52.00 tff(31365,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB116)) | v282(constB116) | v281(constB116))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB116)) | v282(constB116) | v281(constB116))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31366,plain,
% 80.16/52.00 ((v282(constB116) | v281(constB116) | (~v278(constB116))) <=> ((~v278(constB116)) | v282(constB116) | v281(constB116))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31367,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB116) | v281(constB116) | (~v278(constB116)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB116)) | v282(constB116) | v281(constB116)))),
% 80.16/52.00 inference(monotonicity,[status(thm)],[31366])).
% 80.16/52.00 tff(31368,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB116) | v281(constB116) | (~v278(constB116)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB116)) | v282(constB116) | v281(constB116))),
% 80.16/52.00 inference(transitivity,[status(thm)],[31367, 31365])).
% 80.16/52.00 tff(31369,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB116) | v281(constB116) | (~v278(constB116)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31370,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB116)) | v282(constB116) | v281(constB116)),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 80.16/52.00 tff(31371,plain,
% 80.16/52.00 ((~v278(constB116)) | v281(constB116)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31370, 12359, 31364])).
% 80.16/52.00 tff(31372,plain,
% 80.16/52.00 (~v278(constB116)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31371, 31360])).
% 80.16/52.00 tff(31373,plain,
% 80.16/52.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB116, constB117)) | v278(constB116) | (~v280(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB116, constB117)) | v278(constB116) | (~v280(constB117)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31374,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB116, constB117)) | v278(constB116) | (~v280(constB117)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31375,plain,
% 80.16/52.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB116, constB117)) | v278(constB116) | (~v280(constB117))),
% 80.16/52.00 inference(modus_ponens,[status(thm)],[31374, 31373])).
% 80.16/52.00 tff(31376,plain,
% 80.16/52.00 (v278(constB116) | (~v280(constB117))),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31375, 12377, 14983])).
% 80.16/52.00 tff(31377,plain,
% 80.16/52.00 (~v280(constB117)),
% 80.16/52.00 inference(unit_resolution,[status(thm)],[31376, 31372])).
% 80.16/52.00 tff(31378,plain,
% 80.16/52.00 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB117) | (~v309(constB117)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB117) | (~v309(constB117)))),
% 80.16/52.00 inference(rewrite,[status(thm)],[])).
% 80.16/52.00 tff(31379,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB117) | (~v309(constB117)))),
% 80.16/52.00 inference(quant_inst,[status(thm)],[])).
% 80.16/52.00 tff(31380,plain,
% 80.16/52.00 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB117) | (~v309(constB117))),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31379, 31378])).
% 80.16/52.01 tff(31381,plain,
% 80.16/52.01 (~v309(constB117)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31380, 12424, 31377])).
% 80.16/52.01 tff(31382,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB117) | v309(constB117) | (~v289(constB117)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB117) | v309(constB117) | (~v289(constB117)))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31383,plain,
% 80.16/52.01 ((v309(constB117) | (~v289(constB117)) | v288(constB117)) <=> (v288(constB117) | v309(constB117) | (~v289(constB117)))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31384,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB117) | (~v289(constB117)) | v288(constB117))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB117) | v309(constB117) | (~v289(constB117))))),
% 80.16/52.01 inference(monotonicity,[status(thm)],[31383])).
% 80.16/52.01 tff(31385,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB117) | (~v289(constB117)) | v288(constB117))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB117) | v309(constB117) | (~v289(constB117)))),
% 80.16/52.01 inference(transitivity,[status(thm)],[31384, 31382])).
% 80.16/52.01 tff(31386,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB117) | (~v289(constB117)) | v288(constB117))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31387,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB117) | v309(constB117) | (~v289(constB117))),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31386, 31385])).
% 80.16/52.01 tff(31388,plain,
% 80.16/52.01 (v288(constB117) | (~v289(constB117))),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31387, 12438, 31381])).
% 80.16/52.01 tff(31389,plain,
% 80.16/52.01 (v288(constB117)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31388, 31001])).
% 80.16/52.01 tff(31390,plain,
% 80.16/52.01 ($false),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31389, 30208])).
% 80.16/52.01 tff(31391,plain,((~(constB117 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.01 tff(31392,plain,
% 80.16/52.01 (~(constB117 = sK0_VarCurr)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31391, 1])).
% 80.16/52.01 tff(31393,assumption,(constB17 = sK0_VarCurr), introduced(assumption)).
% 80.16/52.01 tff(31394,plain,
% 80.16/52.01 (v288(constB17) <=> v288(sK0_VarCurr)),
% 80.16/52.01 inference(monotonicity,[status(thm)],[31393])).
% 80.16/52.01 tff(31395,plain,
% 80.16/52.01 (v288(sK0_VarCurr) <=> v288(constB17)),
% 80.16/52.01 inference(symmetry,[status(thm)],[31394])).
% 80.16/52.01 tff(31396,plain,
% 80.16/52.01 ((~v288(sK0_VarCurr)) <=> (~v288(constB17))),
% 80.16/52.01 inference(monotonicity,[status(thm)],[31395])).
% 80.16/52.01 tff(31397,plain,
% 80.16/52.01 (~v288(constB17)),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[1, 31396])).
% 80.16/52.01 tff(31398,assumption,(v18(constB16)), introduced(assumption)).
% 80.16/52.01 tff(31399,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB16))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31400,plain,
% 80.16/52.01 ($false),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31399, 70, 31398])).
% 80.16/52.01 tff(31401,plain,(~v18(constB16)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.01 tff(31402,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16)))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31403,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31404,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16))),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31403, 31402])).
% 80.16/52.01 tff(31405,plain,
% 80.16/52.01 (v22(constB16)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31404, 83, 2502])).
% 80.16/52.01 tff(31406,plain,
% 80.16/52.01 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB16)) | (~v22(constB16)) | v18(constB16))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB16)) | (~v22(constB16)) | v18(constB16))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31407,plain,
% 80.16/52.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB16)) | (~v22(constB16)) | v18(constB16))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31408,plain,
% 80.16/52.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB16)) | (~v22(constB16)) | v18(constB16)),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31407, 31406])).
% 80.16/52.01 tff(31409,plain,
% 80.16/52.01 ((~v19(constB16)) | v18(constB16)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31408, 97, 31405])).
% 80.16/52.01 tff(31410,plain,
% 80.16/52.01 (~v19(constB16)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31409, 31401])).
% 80.16/52.01 tff(31411,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31412,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31413,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16)),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31412, 31411])).
% 80.16/52.01 tff(31414,plain,
% 80.16/52.01 (v13(constB16)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31413, 112, 31410])).
% 80.16/52.01 tff(31415,plain,
% 80.16/52.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31416,plain,
% 80.16/52.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31417,plain,
% 80.16/52.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15)),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31416, 31415])).
% 80.16/52.01 tff(31418,plain,
% 80.16/52.01 ((~v13(constB16)) | v9(constB15)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31417, 129, 2482])).
% 80.16/52.01 tff(31419,plain,
% 80.16/52.01 (v9(constB15)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31418, 31414])).
% 80.16/52.01 tff(31420,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v184(constB15))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB15) | (~v9(constB15)) | v184(constB15))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31421,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v184(constB15))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31422,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB15) | (~v9(constB15)) | v184(constB15)),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31421, 31420])).
% 80.16/52.01 tff(31423,plain,
% 80.16/52.01 ((~v9(constB15)) | v184(constB15)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31422, 11036, 2321])).
% 80.16/52.01 tff(31424,plain,
% 80.16/52.01 (v184(constB15)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31423, 31419])).
% 80.16/52.01 tff(31425,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB15) | (~v184(constB15)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB15) | (~v184(constB15)))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31426,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB15) | (~v184(constB15)))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31427,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB15) | (~v184(constB15))),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31426, 31425])).
% 80.16/52.01 tff(31428,plain,
% 80.16/52.01 (v183(constB15)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31427, 11048, 31424])).
% 80.16/52.01 tff(31429,plain,
% 80.16/52.01 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB15)) | (~v281(constB15)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB15)) | (~v281(constB15)))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31430,plain,
% 80.16/52.01 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB15)) | (~v281(constB15)))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31431,plain,
% 80.16/52.01 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB15)) | (~v281(constB15))),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31430, 31429])).
% 80.16/52.01 tff(31432,plain,
% 80.16/52.01 (~v281(constB15)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31431, 12345, 31428])).
% 80.16/52.01 tff(31433,plain,
% 80.16/52.01 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.16/52.01 tff(31434,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))),
% 80.16/52.01 inference(quant_inst,[status(thm)],[])).
% 80.16/52.01 tff(31435,plain,
% 80.16/52.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0))),
% 80.16/52.01 inference(modus_ponens,[status(thm)],[31434, 31433])).
% 80.16/52.01 tff(31436,plain,
% 80.16/52.01 (~v88(constB13, bitIndex0)),
% 80.16/52.01 inference(unit_resolution,[status(thm)],[31435, 10755, 2146])).
% 80.16/52.01 tff(31437,plain,
% 80.16/52.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 80.16/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31438,plain,
% 80.18/52.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 80.18/52.01 inference(quant_inst,[status(thm)],[])).
% 80.18/52.01 tff(31439,plain,
% 80.18/52.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2)),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 80.18/52.01 tff(31440,plain,
% 80.18/52.01 (v88(constB13, bitIndex2)),
% 80.18/52.01 inference(unit_resolution,[status(thm)],[31439, 10735, 2093])).
% 80.18/52.01 tff(31441,plain,
% 80.18/52.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 80.18/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31442,plain,
% 80.18/52.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 80.18/52.01 inference(quant_inst,[status(thm)],[])).
% 80.18/52.01 tff(31443,plain,
% 80.18/52.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1)),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 80.18/52.01 tff(31444,plain,
% 80.18/52.01 (v88(constB13, bitIndex1)),
% 80.18/52.01 inference(unit_resolution,[status(thm)],[31443, 10690, 2102])).
% 80.18/52.01 tff(31445,plain,
% 80.18/52.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 80.18/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31446,plain,
% 80.18/52.01 (((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13)) <=> ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 80.18/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31447,plain,
% 80.18/52.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13)))),
% 80.18/52.01 inference(monotonicity,[status(thm)],[31446])).
% 80.18/52.01 tff(31448,plain,
% 80.18/52.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 80.18/52.01 inference(transitivity,[status(thm)],[31447, 31445])).
% 80.18/52.01 tff(31449,plain,
% 80.18/52.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))),
% 80.18/52.01 inference(quant_inst,[status(thm)],[])).
% 80.18/52.01 tff(31450,plain,
% 80.18/52.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13)),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31449, 31448])).
% 80.18/52.01 tff(31451,plain,
% 80.18/52.01 (v144(constB13)),
% 80.18/52.01 inference(unit_resolution,[status(thm)],[31450, 10769, 31444, 31440, 31436])).
% 80.18/52.01 tff(31452,plain,
% 80.18/52.01 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB13) | (~v144(constB13)))),
% 80.18/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31453,plain,
% 80.18/52.01 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB13) | (~v144(constB13)))),
% 80.18/52.01 inference(quant_inst,[status(thm)],[])).
% 80.18/52.01 tff(31454,plain,
% 80.18/52.01 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB13) | (~v144(constB13))),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31453, 31452])).
% 80.18/52.01 tff(31455,plain,
% 80.18/52.01 (v142(constB13)),
% 80.18/52.01 inference(unit_resolution,[status(thm)],[31454, 10784, 31451])).
% 80.18/52.01 tff(31456,plain,
% 80.18/52.01 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB13) | (~v142(constB13)))),
% 80.18/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31457,plain,
% 80.18/52.01 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB13) | (~v142(constB13)))),
% 80.18/52.01 inference(quant_inst,[status(thm)],[])).
% 80.18/52.01 tff(31458,plain,
% 80.18/52.01 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB13) | (~v142(constB13))),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31457, 31456])).
% 80.18/52.01 tff(31459,plain,
% 80.18/52.01 (v227(constB13)),
% 80.18/52.01 inference(unit_resolution,[status(thm)],[31458, 10806, 31455])).
% 80.18/52.01 tff(31460,plain,
% 80.18/52.01 (^[VarCurr: $i] : refl(((~v227(VarCurr)) | (~v230(VarCurr))) <=> ((~v227(VarCurr)) | (~v230(VarCurr))))),
% 80.18/52.01 inference(bind,[status(th)],[])).
% 80.18/52.01 tff(31461,plain,
% 80.18/52.01 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(quant_intro,[status(thm)],[31460])).
% 80.18/52.01 tff(31462,plain,
% 80.18/52.01 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(rewrite,[status(thm)],[])).
% 80.18/52.01 tff(31463,plain,
% 80.18/52.01 (^[VarCurr: $i] : rewrite(((~v230(VarCurr)) | (~v227(VarCurr))) <=> ((~v227(VarCurr)) | (~v230(VarCurr))))),
% 80.18/52.01 inference(bind,[status(th)],[])).
% 80.18/52.01 tff(31464,plain,
% 80.18/52.01 (![VarCurr: $i] : ((~v230(VarCurr)) | (~v227(VarCurr))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(quant_intro,[status(thm)],[31463])).
% 80.18/52.01 tff(31465,axiom,(![VarCurr: $i] : ((~v230(VarCurr)) | (~v227(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_5_1_1_1')).
% 80.18/52.01 tff(31466,plain,
% 80.18/52.01 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 80.18/52.01 tff(31467,plain,
% 80.18/52.01 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31466, 31462])).
% 80.18/52.01 tff(31468,plain,(
% 80.18/52.01 ![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(skolemize,[status(sab)],[31467])).
% 80.18/52.01 tff(31469,plain,
% 80.18/52.01 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 80.18/52.01 inference(modus_ponens,[status(thm)],[31468, 31461])).
% 80.18/52.01 tff(31470,plain,
% 80.18/52.01 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | ((~v227(constB13)) | (~v230(constB13)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | (~v227(constB13)) | (~v230(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31471,plain,
% 80.18/52.02 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | ((~v227(constB13)) | (~v230(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31472,plain,
% 80.18/52.02 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | (~v227(constB13)) | (~v230(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31471, 31470])).
% 80.18/52.02 tff(31473,plain,
% 80.18/52.02 (~v230(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31472, 31469, 31459])).
% 80.18/52.02 tff(31474,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB13) | (~v227(constB13)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB13) | (~v227(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31475,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB13) | (~v227(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31476,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB13) | (~v227(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31475, 31474])).
% 80.18/52.02 tff(31477,plain,
% 80.18/52.02 (v226(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31476, 10817, 31459])).
% 80.18/52.02 tff(31478,plain,
% 80.18/52.02 (^[VarNext: $i] : refl(((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))) <=> ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))))),
% 80.18/52.02 inference(bind,[status(th)],[])).
% 80.18/52.02 tff(31479,plain,
% 80.18/52.02 (![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(quant_intro,[status(thm)],[31478])).
% 80.18/52.02 tff(31480,plain,
% 80.18/52.02 (![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31481,plain,
% 80.18/52.02 (^[VarNext: $i] : rewrite(((v230(VarNext) | (~v223(VarNext))) | (~v226(VarNext))) <=> ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))))),
% 80.18/52.02 inference(bind,[status(th)],[])).
% 80.18/52.02 tff(31482,plain,
% 80.18/52.02 (![VarNext: $i] : ((v230(VarNext) | (~v223(VarNext))) | (~v226(VarNext))) <=> ![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(quant_intro,[status(thm)],[31481])).
% 80.18/52.02 tff(31483,axiom,(![VarNext: $i] : ((v230(VarNext) | (~v223(VarNext))) | (~v226(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_9_2')).
% 80.18/52.02 tff(31484,plain,
% 80.18/52.02 (![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31483, 31482])).
% 80.18/52.02 tff(31485,plain,
% 80.18/52.02 (![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31484, 31480])).
% 80.18/52.02 tff(31486,plain,(
% 80.18/52.02 ![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(skolemize,[status(sab)],[31485])).
% 80.18/52.02 tff(31487,plain,
% 80.18/52.02 (![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31486, 31479])).
% 80.18/52.02 tff(31488,plain,
% 80.18/52.02 (((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v223(constB13)) | (~v226(constB13)) | v230(constB13))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | (~v223(constB13)) | (~v226(constB13)) | v230(constB13))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31489,plain,
% 80.18/52.02 (((~v226(constB13)) | v230(constB13) | (~v223(constB13))) <=> ((~v223(constB13)) | (~v226(constB13)) | v230(constB13))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31490,plain,
% 80.18/52.02 (((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v226(constB13)) | v230(constB13) | (~v223(constB13)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v223(constB13)) | (~v226(constB13)) | v230(constB13)))),
% 80.18/52.02 inference(monotonicity,[status(thm)],[31489])).
% 80.18/52.02 tff(31491,plain,
% 80.18/52.02 (((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v226(constB13)) | v230(constB13) | (~v223(constB13)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | (~v223(constB13)) | (~v226(constB13)) | v230(constB13))),
% 80.18/52.02 inference(transitivity,[status(thm)],[31490, 31488])).
% 80.18/52.02 tff(31492,plain,
% 80.18/52.02 ((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v226(constB13)) | v230(constB13) | (~v223(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31493,plain,
% 80.18/52.02 ((~![VarNext: $i] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | (~v223(constB13)) | (~v226(constB13)) | v230(constB13)),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31492, 31491])).
% 80.18/52.02 tff(31494,plain,
% 80.18/52.02 (~v223(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31493, 31487, 31477, 31473])).
% 80.18/52.02 tff(31495,plain,
% 80.18/52.02 (^[VarCurr: $i] : refl((v223(VarCurr) | (~v262(VarCurr))) <=> (v223(VarCurr) | (~v262(VarCurr))))),
% 80.18/52.02 inference(bind,[status(th)],[])).
% 80.18/52.02 tff(31496,plain,
% 80.18/52.02 (![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))),
% 80.18/52.02 inference(quant_intro,[status(thm)],[31495])).
% 80.18/52.02 tff(31497,plain,
% 80.18/52.02 (![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31498,axiom,(![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_71_1_1_2')).
% 80.18/52.02 tff(31499,plain,
% 80.18/52.02 (![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 80.18/52.02 tff(31500,plain,(
% 80.18/52.02 ![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))),
% 80.18/52.02 inference(skolemize,[status(sab)],[31499])).
% 80.18/52.02 tff(31501,plain,
% 80.18/52.02 (![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31500, 31496])).
% 80.18/52.02 tff(31502,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))) | (v223(constB13) | (~v262(constB13)))) <=> ((~![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))) | v223(constB13) | (~v262(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31503,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))) | (v223(constB13) | (~v262(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31504,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v223(VarCurr) | (~v262(VarCurr)))) | v223(constB13) | (~v262(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31503, 31502])).
% 80.18/52.02 tff(31505,plain,
% 80.18/52.02 (~v262(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31504, 31501, 31494])).
% 80.18/52.02 tff(31506,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB13) | (~v261(constB13)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB13) | (~v261(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31507,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB13) | (~v261(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31508,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB13) | (~v261(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31507, 31506])).
% 80.18/52.02 tff(31509,plain,
% 80.18/52.02 (~v261(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31508, 12204, 31505])).
% 80.18/52.02 tff(31510,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB13) | (~v271(constB13)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB13) | (~v271(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31511,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB13) | (~v271(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31512,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB13) | (~v271(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 80.18/52.02 tff(31513,plain,
% 80.18/52.02 (~v271(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31512, 12310, 31509])).
% 80.18/52.02 tff(31514,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v184(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB13) | (~v9(constB13)) | v184(constB13))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31515,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v184(constB13))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31516,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB13) | (~v9(constB13)) | v184(constB13)),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31515, 31514])).
% 80.18/52.02 tff(31517,plain,
% 80.18/52.02 ((~v9(constB13)) | v184(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31516, 11036, 137])).
% 80.18/52.02 tff(31518,plain,
% 80.18/52.02 (v184(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31517, 134])).
% 80.18/52.02 tff(31519,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB13) | (~v184(constB13)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB13) | (~v184(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31520,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB13) | (~v184(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31521,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB13) | (~v184(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31520, 31519])).
% 80.18/52.02 tff(31522,plain,
% 80.18/52.02 (v183(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31521, 11048, 31518])).
% 80.18/52.02 tff(31523,plain,
% 80.18/52.02 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB13)) | (~v270(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB13)) | (~v270(constB13)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31524,plain,
% 80.18/52.02 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB13)) | (~v270(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31525,plain,
% 80.18/52.02 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB13)) | (~v270(constB13))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 80.18/52.02 tff(31526,plain,
% 80.18/52.02 (~v270(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31525, 12247, 31522])).
% 80.18/52.02 tff(31527,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB13)) | v270(constB13) | v271(constB13))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB13)) | v270(constB13) | v271(constB13))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31528,plain,
% 80.18/52.02 ((v271(constB13) | v270(constB13) | (~v267(constB13))) <=> ((~v267(constB13)) | v270(constB13) | v271(constB13))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31529,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB13) | v270(constB13) | (~v267(constB13)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB13)) | v270(constB13) | v271(constB13)))),
% 80.18/52.02 inference(monotonicity,[status(thm)],[31528])).
% 80.18/52.02 tff(31530,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB13) | v270(constB13) | (~v267(constB13)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB13)) | v270(constB13) | v271(constB13))),
% 80.18/52.02 inference(transitivity,[status(thm)],[31529, 31527])).
% 80.18/52.02 tff(31531,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB13) | v270(constB13) | (~v267(constB13)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31532,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB13)) | v270(constB13) | v271(constB13)),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 80.18/52.02 tff(31533,plain,
% 80.18/52.02 ((~v267(constB13)) | v271(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31532, 12261, 31526])).
% 80.18/52.02 tff(31534,plain,
% 80.18/52.02 (~v267(constB13)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31533, 31513])).
% 80.18/52.02 tff(31535,plain,
% 80.18/52.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB13, constB14)) | v267(constB13) | (~v269(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB13, constB14)) | v267(constB13) | (~v269(constB14)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31536,plain,
% 80.18/52.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB13, constB14)) | v267(constB13) | (~v269(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31537,plain,
% 80.18/52.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB13, constB14)) | v267(constB13) | (~v269(constB14))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 80.18/52.02 tff(31538,plain,
% 80.18/52.02 (v267(constB13) | (~v269(constB14))),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31537, 12279, 119])).
% 80.18/52.02 tff(31539,plain,
% 80.18/52.02 (~v269(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31538, 31534])).
% 80.18/52.02 tff(31540,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB14) | (~v270(constB14)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB14) | (~v270(constB14)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31541,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB14) | (~v270(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31542,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB14) | (~v270(constB14))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31541, 31540])).
% 80.18/52.02 tff(31543,plain,
% 80.18/52.02 (~v270(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31542, 12291, 31539])).
% 80.18/52.02 tff(31544,plain,
% 80.18/52.02 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB14)) | (~v184(constB14)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB14)) | (~v184(constB14)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31545,plain,
% 80.18/52.02 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB14)) | (~v184(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31546,plain,
% 80.18/52.02 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB14)) | (~v184(constB14))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31545, 31544])).
% 80.18/52.02 tff(31547,plain,
% 80.18/52.02 (~v184(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31546, 11111, 76])).
% 80.18/52.02 tff(31548,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB14) | (~v262(constB14)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB14) | (~v262(constB14)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31549,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB14) | (~v262(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31550,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB14) | (~v262(constB14))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 80.18/52.02 tff(31551,plain,
% 80.18/52.02 (~v262(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31550, 12193, 31547])).
% 80.18/52.02 tff(31552,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB14) | (~v261(constB14)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB14) | (~v261(constB14)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31553,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB14) | (~v261(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31554,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB14) | (~v261(constB14))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31553, 31552])).
% 80.18/52.02 tff(31555,plain,
% 80.18/52.02 (~v261(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31554, 12204, 31551])).
% 80.18/52.02 tff(31556,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB14) | (~v271(constB14)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB14) | (~v271(constB14)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31557,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB14) | (~v271(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31558,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB14) | (~v271(constB14))),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31557, 31556])).
% 80.18/52.02 tff(31559,plain,
% 80.18/52.02 (~v271(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31558, 12310, 31555])).
% 80.18/52.02 tff(31560,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB14)) | v271(constB14) | v270(constB14))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB14)) | v271(constB14) | v270(constB14))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31561,plain,
% 80.18/52.02 ((v271(constB14) | v270(constB14) | (~v267(constB14))) <=> ((~v267(constB14)) | v271(constB14) | v270(constB14))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31562,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB14) | v270(constB14) | (~v267(constB14)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB14)) | v271(constB14) | v270(constB14)))),
% 80.18/52.02 inference(monotonicity,[status(thm)],[31561])).
% 80.18/52.02 tff(31563,plain,
% 80.18/52.02 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB14) | v270(constB14) | (~v267(constB14)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB14)) | v271(constB14) | v270(constB14))),
% 80.18/52.02 inference(transitivity,[status(thm)],[31562, 31560])).
% 80.18/52.02 tff(31564,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB14) | v270(constB14) | (~v267(constB14)))),
% 80.18/52.02 inference(quant_inst,[status(thm)],[])).
% 80.18/52.02 tff(31565,plain,
% 80.18/52.02 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB14)) | v271(constB14) | v270(constB14)),
% 80.18/52.02 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 80.18/52.02 tff(31566,plain,
% 80.18/52.02 ((~v267(constB14)) | v270(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31565, 12261, 31559])).
% 80.18/52.02 tff(31567,plain,
% 80.18/52.02 (~v267(constB14)),
% 80.18/52.02 inference(unit_resolution,[status(thm)],[31566, 31543])).
% 80.18/52.02 tff(31568,plain,
% 80.18/52.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB14, constB15)) | v267(constB14) | (~v269(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB14, constB15)) | v267(constB14) | (~v269(constB15)))),
% 80.18/52.02 inference(rewrite,[status(thm)],[])).
% 80.18/52.02 tff(31569,plain,
% 80.18/52.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB14, constB15)) | v267(constB14) | (~v269(constB15)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31570,plain,
% 80.18/52.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB14, constB15)) | v267(constB14) | (~v269(constB15))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31569, 31568])).
% 80.18/52.03 tff(31571,plain,
% 80.18/52.03 (v267(constB14) | (~v269(constB15))),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31570, 12279, 2324])).
% 80.18/52.03 tff(31572,plain,
% 80.18/52.03 (~v269(constB15)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31571, 31567])).
% 80.18/52.03 tff(31573,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB15) | (~v282(constB15)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB15) | (~v282(constB15)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31574,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB15) | (~v282(constB15)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31575,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB15) | (~v282(constB15))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31574, 31573])).
% 80.18/52.03 tff(31576,plain,
% 80.18/52.03 (~v282(constB15)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31575, 12334, 31572])).
% 80.18/52.03 tff(31577,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB15)) | v281(constB15) | v282(constB15))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB15)) | v281(constB15) | v282(constB15))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31578,plain,
% 80.18/52.03 ((v282(constB15) | v281(constB15) | (~v278(constB15))) <=> ((~v278(constB15)) | v281(constB15) | v282(constB15))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31579,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB15) | v281(constB15) | (~v278(constB15)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB15)) | v281(constB15) | v282(constB15)))),
% 80.18/52.03 inference(monotonicity,[status(thm)],[31578])).
% 80.18/52.03 tff(31580,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB15) | v281(constB15) | (~v278(constB15)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB15)) | v281(constB15) | v282(constB15))),
% 80.18/52.03 inference(transitivity,[status(thm)],[31579, 31577])).
% 80.18/52.03 tff(31581,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB15) | v281(constB15) | (~v278(constB15)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31582,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB15)) | v281(constB15) | v282(constB15)),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31581, 31580])).
% 80.18/52.03 tff(31583,plain,
% 80.18/52.03 ((~v278(constB15)) | v281(constB15)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31582, 12359, 31576])).
% 80.18/52.03 tff(31584,plain,
% 80.18/52.03 (~v278(constB15)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31583, 31432])).
% 80.18/52.03 tff(31585,plain,
% 80.18/52.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB15, constB16)) | v278(constB15) | (~v280(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB15, constB16)) | v278(constB15) | (~v280(constB16)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31586,plain,
% 80.18/52.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB15, constB16)) | v278(constB15) | (~v280(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31587,plain,
% 80.18/52.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB15, constB16)) | v278(constB15) | (~v280(constB16))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31586, 31585])).
% 80.18/52.03 tff(31588,plain,
% 80.18/52.03 (v278(constB15) | (~v280(constB16))),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31587, 12377, 2482])).
% 80.18/52.03 tff(31589,plain,
% 80.18/52.03 (~v280(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31588, 31584])).
% 80.18/52.03 tff(31590,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB16) | (~v281(constB16)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB16) | (~v281(constB16)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31591,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB16) | (~v281(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31592,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB16) | (~v281(constB16))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31591, 31590])).
% 80.18/52.03 tff(31593,plain,
% 80.18/52.03 (~v281(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31592, 12389, 31589])).
% 80.18/52.03 tff(31594,plain,
% 80.18/52.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB16)) | (~v184(constB16)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB16)) | (~v184(constB16)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31595,plain,
% 80.18/52.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB16)) | (~v184(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31596,plain,
% 80.18/52.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB16)) | (~v184(constB16))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 80.18/52.03 tff(31597,plain,
% 80.18/52.03 (~v184(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31596, 11111, 2502])).
% 80.18/52.03 tff(31598,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB16) | (~v217(constB16)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB16) | (~v217(constB16)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31599,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB16) | (~v217(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31600,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB16) | (~v217(constB16))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31599, 31598])).
% 80.18/52.03 tff(31601,plain,
% 80.18/52.03 (~v217(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31600, 11245, 31597])).
% 80.18/52.03 tff(31602,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB16) | (~v216(constB16)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB16) | (~v216(constB16)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31603,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB16) | (~v216(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31604,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB16) | (~v216(constB16))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 80.18/52.03 tff(31605,plain,
% 80.18/52.03 (~v216(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31604, 11256, 31601])).
% 80.18/52.03 tff(31606,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB16) | (~v282(constB16)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB16) | (~v282(constB16)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31607,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB16) | (~v282(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31608,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB16) | (~v282(constB16))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31607, 31606])).
% 80.18/52.03 tff(31609,plain,
% 80.18/52.03 (~v282(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31608, 12400, 31605])).
% 80.18/52.03 tff(31610,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB16)) | v282(constB16) | v281(constB16))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB16)) | v282(constB16) | v281(constB16))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31611,plain,
% 80.18/52.03 ((v282(constB16) | v281(constB16) | (~v278(constB16))) <=> ((~v278(constB16)) | v282(constB16) | v281(constB16))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31612,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB16) | v281(constB16) | (~v278(constB16)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB16)) | v282(constB16) | v281(constB16)))),
% 80.18/52.03 inference(monotonicity,[status(thm)],[31611])).
% 80.18/52.03 tff(31613,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB16) | v281(constB16) | (~v278(constB16)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB16)) | v282(constB16) | v281(constB16))),
% 80.18/52.03 inference(transitivity,[status(thm)],[31612, 31610])).
% 80.18/52.03 tff(31614,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB16) | v281(constB16) | (~v278(constB16)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31615,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB16)) | v282(constB16) | v281(constB16)),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31614, 31613])).
% 80.18/52.03 tff(31616,plain,
% 80.18/52.03 ((~v278(constB16)) | v281(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31615, 12359, 31609])).
% 80.18/52.03 tff(31617,plain,
% 80.18/52.03 (~v278(constB16)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31616, 31593])).
% 80.18/52.03 tff(31618,plain,
% 80.18/52.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB16, constB17)) | v278(constB16) | (~v280(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB16, constB17)) | v278(constB16) | (~v280(constB17)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31619,plain,
% 80.18/52.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB16, constB17)) | v278(constB16) | (~v280(constB17)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31620,plain,
% 80.18/52.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB16, constB17)) | v278(constB16) | (~v280(constB17))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31619, 31618])).
% 80.18/52.03 tff(31621,plain,
% 80.18/52.03 (v278(constB16) | (~v280(constB17))),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31620, 12377, 2547])).
% 80.18/52.03 tff(31622,plain,
% 80.18/52.03 (~v280(constB17)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31621, 31617])).
% 80.18/52.03 tff(31623,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB17) | (~v309(constB17)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB17) | (~v309(constB17)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31624,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB17) | (~v309(constB17)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31625,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB17) | (~v309(constB17))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31624, 31623])).
% 80.18/52.03 tff(31626,plain,
% 80.18/52.03 (~v309(constB17)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31625, 12424, 31622])).
% 80.18/52.03 tff(31627,plain,
% 80.18/52.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 80.18/52.03 inference(rewrite,[status(thm)],[])).
% 80.18/52.03 tff(31628,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 80.18/52.03 inference(quant_inst,[status(thm)],[])).
% 80.18/52.03 tff(31629,plain,
% 80.18/52.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2))),
% 80.18/52.03 inference(modus_ponens,[status(thm)],[31628, 31627])).
% 80.18/52.03 tff(31630,plain,
% 80.18/52.03 (~v88(constB17, bitIndex2)),
% 80.18/52.03 inference(unit_resolution,[status(thm)],[31629, 11467, 2568])).
% 80.20/52.03 tff(31631,plain,
% 80.20/52.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))),
% 80.20/52.03 inference(rewrite,[status(thm)],[])).
% 80.20/52.03 tff(31632,plain,
% 80.20/52.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))),
% 80.20/52.03 inference(quant_inst,[status(thm)],[])).
% 80.20/52.03 tff(31633,plain,
% 80.20/52.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0))),
% 80.20/52.03 inference(modus_ponens,[status(thm)],[31632, 31631])).
% 80.20/52.03 tff(31634,plain,
% 80.20/52.03 (~v88(constB17, bitIndex0)),
% 80.20/52.03 inference(unit_resolution,[status(thm)],[31633, 10755, 2633])).
% 80.20/52.03 tff(31635,plain,
% 80.20/52.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 80.20/52.03 inference(rewrite,[status(thm)],[])).
% 80.20/52.03 tff(31636,plain,
% 80.20/52.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 80.20/52.03 inference(quant_inst,[status(thm)],[])).
% 80.20/52.03 tff(31637,plain,
% 80.20/52.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1)),
% 80.20/52.03 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 80.20/52.03 tff(31638,plain,
% 80.20/52.03 (v88(constB17, bitIndex1)),
% 80.20/52.03 inference(unit_resolution,[status(thm)],[31637, 10690, 2599])).
% 80.20/52.03 tff(31639,plain,
% 80.20/52.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex0) | v143(constB17) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex0) | v143(constB17) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))),
% 80.20/52.03 inference(rewrite,[status(thm)],[])).
% 80.20/52.03 tff(31640,plain,
% 80.20/52.03 ((v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17)) <=> (v88(constB17, bitIndex0) | v143(constB17) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))),
% 80.20/52.03 inference(rewrite,[status(thm)],[])).
% 80.20/52.03 tff(31641,plain,
% 80.20/52.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex0) | v143(constB17) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1))))),
% 80.20/52.03 inference(monotonicity,[status(thm)],[31640])).
% 80.20/52.03 tff(31642,plain,
% 80.20/52.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex0) | v143(constB17) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))),
% 80.20/52.03 inference(transitivity,[status(thm)],[31641, 31639])).
% 80.20/52.03 tff(31643,plain,
% 80.20/52.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))),
% 80.20/52.03 inference(quant_inst,[status(thm)],[])).
% 80.20/52.03 tff(31644,plain,
% 80.20/52.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex0) | v143(constB17) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31643, 31642])).
% 80.20/52.04 tff(31645,plain,
% 80.20/52.04 (v143(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31644, 19614, 31638, 31634, 31630])).
% 80.20/52.04 tff(31646,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB17) | (~v143(constB17)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB17) | (~v143(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31647,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB17) | (~v143(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31648,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB17) | (~v143(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 80.20/52.04 tff(31649,plain,
% 80.20/52.04 (v142(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31648, 19629, 31645])).
% 80.20/52.04 tff(31650,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB17) | (~v142(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31651,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB17) | (~v142(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31652,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB17) | (~v142(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 80.20/52.04 tff(31653,plain,
% 80.20/52.04 (v148(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31652, 10795, 31649])).
% 80.20/52.04 tff(31654,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB17) | (~v142(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31655,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB17) | (~v142(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31656,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB17) | (~v142(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31655, 31654])).
% 80.20/52.04 tff(31657,plain,
% 80.20/52.04 (v227(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31656, 10806, 31649])).
% 80.20/52.04 tff(31658,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB17) | (~v227(constB17)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB17) | (~v227(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31659,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB17) | (~v227(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31660,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB17) | (~v227(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 80.20/52.04 tff(31661,plain,
% 80.20/52.04 (v226(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31660, 10817, 31657])).
% 80.20/52.04 tff(31662,plain,
% 80.20/52.04 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB17) | (~v148(constB17)) | (~v226(constB17)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB17) | (~v148(constB17)) | (~v226(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31663,plain,
% 80.20/52.04 (((~v148(constB17)) | (~v226(constB17)) | v86(constB17)) <=> (v86(constB17) | (~v148(constB17)) | (~v226(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31664,plain,
% 80.20/52.04 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB17)) | (~v226(constB17)) | v86(constB17))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB17) | (~v148(constB17)) | (~v226(constB17))))),
% 80.20/52.04 inference(monotonicity,[status(thm)],[31663])).
% 80.20/52.04 tff(31665,plain,
% 80.20/52.04 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB17)) | (~v226(constB17)) | v86(constB17))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB17) | (~v148(constB17)) | (~v226(constB17)))),
% 80.20/52.04 inference(transitivity,[status(thm)],[31664, 31662])).
% 80.20/52.04 tff(31666,plain,
% 80.20/52.04 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB17)) | (~v226(constB17)) | v86(constB17))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31667,plain,
% 80.20/52.04 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB17) | (~v148(constB17)) | (~v226(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31666, 31665])).
% 80.20/52.04 tff(31668,plain,
% 80.20/52.04 (v86(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31667, 10831, 31661, 31653])).
% 80.20/52.04 tff(31669,plain,
% 80.20/52.04 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB17)) | (~v295(constB17)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB17)) | (~v295(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31670,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB17)) | (~v295(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31671,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB17)) | (~v295(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31670, 31669])).
% 80.20/52.04 tff(31672,plain,
% 80.20/52.04 (~v295(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31671, 10845, 31668])).
% 80.20/52.04 tff(31673,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB17) | (~v294(constB17)))) <=> ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB17) | (~v294(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31674,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB17) | (~v294(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31675,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB17) | (~v294(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31674, 31673])).
% 80.20/52.04 tff(31676,plain,
% 80.20/52.04 (~v294(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31675, 10856, 31672])).
% 80.20/52.04 tff(31677,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB17) | (~v293(constB17)))) <=> ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB17) | (~v293(constB17)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31678,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB17) | (~v293(constB17)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31679,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB17) | (~v293(constB17))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31678, 31677])).
% 80.20/52.04 tff(31680,plain,
% 80.20/52.04 (~v293(constB17)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31679, 19667, 31676])).
% 80.20/52.04 tff(31681,plain,
% 80.20/52.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v139(constB13)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v139(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31682,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v139(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31683,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v139(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31682, 31681])).
% 80.20/52.04 tff(31684,plain,
% 80.20/52.04 (~v139(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31683, 11863, 31444])).
% 80.20/52.04 tff(31685,plain,
% 80.20/52.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v140(constB13)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v140(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31686,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v140(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31687,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v140(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31686, 31685])).
% 80.20/52.04 tff(31688,plain,
% 80.20/52.04 (~v140(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31687, 11526, 31444])).
% 80.20/52.04 tff(31689,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB13) | v139(constB13) | (~v168(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31690,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31691,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB13) | v139(constB13) | (~v168(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31690, 31689])).
% 80.20/52.04 tff(31692,plain,
% 80.20/52.04 (~v168(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31691, 10907, 31688, 31684])).
% 80.20/52.04 tff(31693,plain,
% 80.20/52.04 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB13)) | v168(constB13) | (~v226(constB13)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB13)) | v168(constB13) | (~v226(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31694,plain,
% 80.20/52.04 ((v168(constB13) | (~v226(constB13)) | (~v161(constB13))) <=> ((~v161(constB13)) | v168(constB13) | (~v226(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31695,plain,
% 80.20/52.04 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB13) | (~v226(constB13)) | (~v161(constB13)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB13)) | v168(constB13) | (~v226(constB13))))),
% 80.20/52.04 inference(monotonicity,[status(thm)],[31694])).
% 80.20/52.04 tff(31696,plain,
% 80.20/52.04 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB13) | (~v226(constB13)) | (~v161(constB13)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB13)) | v168(constB13) | (~v226(constB13)))),
% 80.20/52.04 inference(transitivity,[status(thm)],[31695, 31693])).
% 80.20/52.04 tff(31697,plain,
% 80.20/52.04 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB13) | (~v226(constB13)) | (~v161(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31698,plain,
% 80.20/52.04 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB13)) | v168(constB13) | (~v226(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31697, 31696])).
% 80.20/52.04 tff(31699,plain,
% 80.20/52.04 ((~v161(constB13)) | (~v226(constB13))),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31698, 10975, 31692])).
% 80.20/52.04 tff(31700,plain,
% 80.20/52.04 (~v161(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31699, 31477])).
% 80.20/52.04 tff(31701,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB13) | (~v187(constB13)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB13) | (~v187(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31702,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB13) | (~v187(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31703,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB13) | (~v187(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 80.20/52.04 tff(31704,plain,
% 80.20/52.04 (~v187(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31703, 10989, 31700])).
% 80.20/52.04 tff(31705,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB13) | (~v185(constB13)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB13) | (~v185(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31706,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB13) | (~v185(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31707,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB13) | (~v185(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 80.20/52.04 tff(31708,plain,
% 80.20/52.04 (~v185(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31707, 11000, 31704])).
% 80.20/52.04 tff(31709,plain,
% 80.20/52.04 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB13)) | (~v183(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB13)) | (~v183(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31710,plain,
% 80.20/52.04 (((~v183(constB13)) | (~v181(constB13))) <=> ((~v181(constB13)) | (~v183(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31711,plain,
% 80.20/52.04 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB13)) | (~v181(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB13)) | (~v183(constB13))))),
% 80.20/52.04 inference(monotonicity,[status(thm)],[31710])).
% 80.20/52.04 tff(31712,plain,
% 80.20/52.04 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB13)) | (~v181(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB13)) | (~v183(constB13)))),
% 80.20/52.04 inference(transitivity,[status(thm)],[31711, 31709])).
% 80.20/52.04 tff(31713,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB13)) | (~v181(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31714,plain,
% 80.20/52.04 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB13)) | (~v183(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 80.20/52.04 tff(31715,plain,
% 80.20/52.04 (~v181(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31714, 11059, 31522])).
% 80.20/52.04 tff(31716,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB13) | v185(constB13) | (~v178(constB13)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB13) | v185(constB13) | (~v178(constB13)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31717,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB13) | v185(constB13) | (~v178(constB13)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31718,plain,
% 80.20/52.04 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB13) | v185(constB13) | (~v178(constB13))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31717, 31716])).
% 80.20/52.04 tff(31719,plain,
% 80.20/52.04 (v185(constB13) | (~v178(constB13))),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31718, 11073, 31715])).
% 80.20/52.04 tff(31720,plain,
% 80.20/52.04 (~v178(constB13)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31719, 31708])).
% 80.20/52.04 tff(31721,plain,
% 80.20/52.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))),
% 80.20/52.04 inference(rewrite,[status(thm)],[])).
% 80.20/52.04 tff(31722,plain,
% 80.20/52.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))),
% 80.20/52.04 inference(quant_inst,[status(thm)],[])).
% 80.20/52.04 tff(31723,plain,
% 80.20/52.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14))),
% 80.20/52.04 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 80.20/52.04 tff(31724,plain,
% 80.20/52.04 (v178(constB13) | (~v180(constB14))),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31723, 11088, 119])).
% 80.20/52.04 tff(31725,plain,
% 80.20/52.04 (~v180(constB14)),
% 80.20/52.04 inference(unit_resolution,[status(thm)],[31724, 31720])).
% 80.20/52.04 tff(31726,plain,
% 80.20/52.04 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB14) | (~v181(constB14)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB14) | (~v181(constB14)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31727,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB14) | (~v181(constB14)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31728,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB14) | (~v181(constB14))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31727, 31726])).
% 80.20/52.05 tff(31729,plain,
% 80.20/52.05 (~v181(constB14)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31728, 11100, 31725])).
% 80.20/52.05 tff(31730,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB14) | (~v187(constB14)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB14) | (~v187(constB14)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31731,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB14) | (~v187(constB14)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31732,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB14) | (~v187(constB14))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31731, 31730])).
% 80.20/52.05 tff(31733,plain,
% 80.20/52.05 (~v187(constB14)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31732, 11122, 31547])).
% 80.20/52.05 tff(31734,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB14) | (~v185(constB14)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB14) | (~v185(constB14)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31735,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB14) | (~v185(constB14)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31736,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB14) | (~v185(constB14))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31735, 31734])).
% 80.20/52.05 tff(31737,plain,
% 80.20/52.05 (~v185(constB14)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31736, 11000, 31733])).
% 80.20/52.05 tff(31738,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB14) | v185(constB14) | (~v178(constB14)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB14) | v185(constB14) | (~v178(constB14)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31739,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB14) | v185(constB14) | (~v178(constB14)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31740,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB14) | v185(constB14) | (~v178(constB14))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31739, 31738])).
% 80.20/52.05 tff(31741,plain,
% 80.20/52.05 (v181(constB14) | (~v178(constB14))),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31740, 11073, 31737])).
% 80.20/52.05 tff(31742,plain,
% 80.20/52.05 (~v178(constB14)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31741, 31729])).
% 80.20/52.05 tff(31743,plain,
% 80.20/52.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31744,plain,
% 80.20/52.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31745,plain,
% 80.20/52.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31744, 31743])).
% 80.20/52.05 tff(31746,plain,
% 80.20/52.05 (v178(constB14) | (~v180(constB15))),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31745, 11088, 2324])).
% 80.20/52.05 tff(31747,plain,
% 80.20/52.05 (~v180(constB15)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31746, 31742])).
% 80.20/52.05 tff(31748,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB15) | (~v215(constB15)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB15) | (~v215(constB15)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31749,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB15) | (~v215(constB15)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31750,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB15) | (~v215(constB15))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31749, 31748])).
% 80.20/52.05 tff(31751,plain,
% 80.20/52.05 (~v215(constB15)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31750, 11147, 31747])).
% 80.20/52.05 tff(31752,plain,
% 80.20/52.05 (v130(constB9, bitIndex2)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1880, 1877, 1686])).
% 80.20/52.05 tff(31753,plain,
% 80.20/52.05 (v127(constB9, bitIndex2)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1885, 31752])).
% 80.20/52.05 tff(31754,plain,
% 80.20/52.05 (v129(constB10, bitIndex2)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1890, 31753])).
% 80.20/52.05 tff(31755,plain,
% 80.20/52.05 (v90(constB10, bitIndex2) | (~v100(constB10))),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1897, 1539, 31754])).
% 80.20/52.05 tff(31756,plain,
% 80.20/52.05 (v90(constB10, bitIndex2)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31755, 1755])).
% 80.20/52.05 tff(31757,plain,
% 80.20/52.05 (v90(constB11, bitIndex2)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1907, 31756])).
% 80.20/52.05 tff(31758,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31759,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31760,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2)),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 80.20/52.05 tff(31761,plain,
% 80.20/52.05 (v88(constB11, bitIndex2)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31760, 10735, 31757])).
% 80.20/52.05 tff(31762,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB11)) | (~v88(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB11)) | (~v88(constB11, bitIndex2)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31763,plain,
% 80.20/52.05 (((~v88(constB11, bitIndex2)) | (~v140(constB11))) <=> ((~v140(constB11)) | (~v88(constB11, bitIndex2)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31764,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB11)) | (~v88(constB11, bitIndex2))))),
% 80.20/52.05 inference(monotonicity,[status(thm)],[31763])).
% 80.20/52.05 tff(31765,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB11)) | (~v88(constB11, bitIndex2)))),
% 80.20/52.05 inference(transitivity,[status(thm)],[31764, 31762])).
% 80.20/52.05 tff(31766,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31767,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB11)) | (~v88(constB11, bitIndex2))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31766, 31765])).
% 80.20/52.05 tff(31768,plain,
% 80.20/52.05 (~v140(constB11)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31767, 10893, 31761])).
% 80.20/52.05 tff(31769,plain,
% 80.20/52.05 (v130(constB9, bitIndex0)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1839, 1836, 1686])).
% 80.20/52.05 tff(31770,plain,
% 80.20/52.05 (v127(constB9, bitIndex0)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1844, 31769])).
% 80.20/52.05 tff(31771,plain,
% 80.20/52.05 (v129(constB10, bitIndex0)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1849, 31770])).
% 80.20/52.05 tff(31772,plain,
% 80.20/52.05 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1856, 818, 31771])).
% 80.20/52.05 tff(31773,plain,
% 80.20/52.05 (v90(constB10, bitIndex0)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31772, 1755])).
% 80.20/52.05 tff(31774,plain,
% 80.20/52.05 (v90(constB11, bitIndex0)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[1866, 31773])).
% 80.20/52.05 tff(31775,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31776,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31777,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0)),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31776, 31775])).
% 80.20/52.05 tff(31778,plain,
% 80.20/52.05 (v88(constB11, bitIndex0)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31777, 11313, 31774])).
% 80.20/52.05 tff(31779,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB11)) | (~v88(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB11)) | (~v88(constB11, bitIndex0)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31780,plain,
% 80.20/52.05 (((~v88(constB11, bitIndex0)) | (~v139(constB11))) <=> ((~v139(constB11)) | (~v88(constB11, bitIndex0)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31781,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB11)) | (~v88(constB11, bitIndex0))))),
% 80.20/52.05 inference(monotonicity,[status(thm)],[31780])).
% 80.20/52.05 tff(31782,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB11)) | (~v88(constB11, bitIndex0)))),
% 80.20/52.05 inference(transitivity,[status(thm)],[31781, 31779])).
% 80.20/52.05 tff(31783,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31784,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB11)) | (~v88(constB11, bitIndex0))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31783, 31782])).
% 80.20/52.05 tff(31785,plain,
% 80.20/52.05 (~v139(constB11)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31784, 11324, 31778])).
% 80.20/52.05 tff(31786,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB11)) | v140(constB11) | v139(constB11))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB11)) | v140(constB11) | v139(constB11))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31787,plain,
% 80.20/52.05 ((v140(constB11) | v139(constB11) | (~v168(constB11))) <=> ((~v168(constB11)) | v140(constB11) | v139(constB11))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31788,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v168(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB11)) | v140(constB11) | v139(constB11)))),
% 80.20/52.05 inference(monotonicity,[status(thm)],[31787])).
% 80.20/52.05 tff(31789,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v168(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB11)) | v140(constB11) | v139(constB11))),
% 80.20/52.05 inference(transitivity,[status(thm)],[31788, 31786])).
% 80.20/52.05 tff(31790,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v168(constB11)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31791,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB11)) | v140(constB11) | v139(constB11)),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 80.20/52.05 tff(31792,plain,
% 80.20/52.05 (~v168(constB11)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31791, 10907, 31785, 31768])).
% 80.20/52.05 tff(31793,plain,
% 80.20/52.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31794,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31795,plain,
% 80.20/52.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31794, 31793])).
% 80.20/52.05 tff(31796,plain,
% 80.20/52.05 (~v88(constB11, bitIndex1)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31795, 10918, 1817])).
% 80.20/52.05 tff(31797,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v147(constB11) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex2)) | v147(constB11) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31798,plain,
% 80.20/52.05 (((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11)) <=> ((~v88(constB11, bitIndex2)) | v147(constB11) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))),
% 80.20/52.05 inference(rewrite,[status(thm)],[])).
% 80.20/52.05 tff(31799,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v147(constB11) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))))),
% 80.20/52.05 inference(monotonicity,[status(thm)],[31798])).
% 80.20/52.05 tff(31800,plain,
% 80.20/52.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex2)) | v147(constB11) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)))),
% 80.20/52.05 inference(transitivity,[status(thm)],[31799, 31797])).
% 80.20/52.05 tff(31801,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))),
% 80.20/52.05 inference(quant_inst,[status(thm)],[])).
% 80.20/52.05 tff(31802,plain,
% 80.20/52.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex2)) | v147(constB11) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0))),
% 80.20/52.05 inference(modus_ponens,[status(thm)],[31801, 31800])).
% 80.20/52.05 tff(31803,plain,
% 80.20/52.05 (v147(constB11)),
% 80.20/52.05 inference(unit_resolution,[status(thm)],[31802, 11353, 31778, 31761, 31796])).
% 80.20/52.06 tff(31804,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB11) | (~v147(constB11)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB11) | (~v147(constB11)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31805,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB11) | (~v147(constB11)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31806,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB11) | (~v147(constB11))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 80.20/52.06 tff(31807,plain,
% 80.20/52.06 (v145(constB11)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31806, 11368, 31803])).
% 80.20/52.06 tff(31808,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB11) | (~v145(constB11)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB11) | (~v145(constB11)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31809,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB11) | (~v145(constB11)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31810,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB11) | (~v145(constB11))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31809, 31808])).
% 80.20/52.06 tff(31811,plain,
% 80.20/52.06 (v226(constB11)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31810, 10961, 31807])).
% 80.20/52.06 tff(31812,plain,
% 80.20/52.06 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB11)) | v168(constB11) | (~v226(constB11)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB11)) | v168(constB11) | (~v226(constB11)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31813,plain,
% 80.20/52.06 ((v168(constB11) | (~v226(constB11)) | (~v161(constB11))) <=> ((~v161(constB11)) | v168(constB11) | (~v226(constB11)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31814,plain,
% 80.20/52.06 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB11) | (~v226(constB11)) | (~v161(constB11)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB11)) | v168(constB11) | (~v226(constB11))))),
% 80.20/52.06 inference(monotonicity,[status(thm)],[31813])).
% 80.20/52.06 tff(31815,plain,
% 80.20/52.06 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB11) | (~v226(constB11)) | (~v161(constB11)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB11)) | v168(constB11) | (~v226(constB11)))),
% 80.20/52.06 inference(transitivity,[status(thm)],[31814, 31812])).
% 80.20/52.06 tff(31816,plain,
% 80.20/52.06 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB11) | (~v226(constB11)) | (~v161(constB11)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31817,plain,
% 80.20/52.06 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB11)) | v168(constB11) | (~v226(constB11))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 80.20/52.06 tff(31818,plain,
% 80.20/52.06 (~v161(constB11)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31817, 10975, 31811, 31792])).
% 80.20/52.06 tff(31819,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB11) | (~v187(constB11)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB11) | (~v187(constB11)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31820,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB11) | (~v187(constB11)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31821,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB11) | (~v187(constB11))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31820, 31819])).
% 80.20/52.06 tff(31822,plain,
% 80.20/52.06 (~v187(constB11)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31821, 10989, 31818])).
% 80.20/52.06 tff(31823,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB11) | (~v185(constB11)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB11) | (~v185(constB11)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31824,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB11) | (~v185(constB11)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31825,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB11) | (~v185(constB11))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31824, 31823])).
% 80.20/52.06 tff(31826,plain,
% 80.20/52.06 (~v185(constB11)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31825, 11000, 31822])).
% 80.20/52.06 tff(31827,plain,
% 80.20/52.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex2)) | v88(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex2)) | v88(constB9, bitIndex2))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31828,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex2)) | v88(constB9, bitIndex2))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31829,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex2)) | v88(constB9, bitIndex2)),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31828, 31827])).
% 80.20/52.06 tff(31830,plain,
% 80.20/52.06 (v88(constB9, bitIndex2)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31829, 10735, 1584])).
% 80.20/52.06 tff(31831,plain,
% 80.20/52.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v139(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v139(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31832,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v139(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31833,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v139(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31832, 31831])).
% 80.20/52.06 tff(31834,plain,
% 80.20/52.06 (~v139(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31833, 10882, 31830])).
% 80.20/52.06 tff(31835,plain,
% 80.20/52.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v140(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v140(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31836,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v140(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31837,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v140(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31836, 31835])).
% 80.20/52.06 tff(31838,plain,
% 80.20/52.06 (~v140(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31837, 10893, 31830])).
% 80.20/52.06 tff(31839,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB9) | v139(constB9) | (~v168(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31840,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31841,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB9) | v139(constB9) | (~v168(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31840, 31839])).
% 80.20/52.06 tff(31842,plain,
% 80.20/52.06 (~v168(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31841, 10907, 31838, 31834])).
% 80.20/52.06 tff(31843,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB9, bitIndex1) | (~v88(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB9, bitIndex1) | (~v88(constB9, bitIndex1)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31844,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB9, bitIndex1) | (~v88(constB9, bitIndex1)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31845,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB9, bitIndex1) | (~v88(constB9, bitIndex1))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31844, 31843])).
% 80.20/52.06 tff(31846,plain,
% 80.20/52.06 (~v88(constB9, bitIndex1)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31845, 10918, 1628])).
% 80.20/52.06 tff(31847,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31848,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31849,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 80.20/52.06 tff(31850,plain,
% 80.20/52.06 (~v88(constB9, bitIndex0)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31849, 10755, 1672])).
% 80.20/52.06 tff(31851,plain,
% 80.20/52.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0) | v146(constB9))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0) | v146(constB9))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31852,plain,
% 80.20/52.06 (((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9)) <=> (v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0) | v146(constB9))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31853,plain,
% 80.20/52.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0) | v146(constB9)))),
% 80.20/52.06 inference(monotonicity,[status(thm)],[31852])).
% 80.20/52.06 tff(31854,plain,
% 80.20/52.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0) | v146(constB9))),
% 80.20/52.06 inference(transitivity,[status(thm)],[31853, 31851])).
% 80.20/52.06 tff(31855,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31856,plain,
% 80.20/52.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0) | v146(constB9)),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 80.20/52.06 tff(31857,plain,
% 80.20/52.06 (v146(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31856, 10936, 31830, 31850, 31846])).
% 80.20/52.06 tff(31858,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB9) | (~v146(constB9)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB9) | (~v146(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31859,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB9) | (~v146(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31860,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB9) | (~v146(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 80.20/52.06 tff(31861,plain,
% 80.20/52.06 (v145(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31860, 10950, 31857])).
% 80.20/52.06 tff(31862,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB9) | (~v145(constB9)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB9) | (~v145(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31863,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB9) | (~v145(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31864,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB9) | (~v145(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 80.20/52.06 tff(31865,plain,
% 80.20/52.06 (v226(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31864, 10961, 31861])).
% 80.20/52.06 tff(31866,plain,
% 80.20/52.06 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB9)) | v168(constB9) | (~v226(constB9)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB9)) | v168(constB9) | (~v226(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31867,plain,
% 80.20/52.06 ((v168(constB9) | (~v226(constB9)) | (~v161(constB9))) <=> ((~v161(constB9)) | v168(constB9) | (~v226(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31868,plain,
% 80.20/52.06 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB9) | (~v226(constB9)) | (~v161(constB9)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB9)) | v168(constB9) | (~v226(constB9))))),
% 80.20/52.06 inference(monotonicity,[status(thm)],[31867])).
% 80.20/52.06 tff(31869,plain,
% 80.20/52.06 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB9) | (~v226(constB9)) | (~v161(constB9)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB9)) | v168(constB9) | (~v226(constB9)))),
% 80.20/52.06 inference(transitivity,[status(thm)],[31868, 31866])).
% 80.20/52.06 tff(31870,plain,
% 80.20/52.06 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB9) | (~v226(constB9)) | (~v161(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31871,plain,
% 80.20/52.06 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB9)) | v168(constB9) | (~v226(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31870, 31869])).
% 80.20/52.06 tff(31872,plain,
% 80.20/52.06 (~v161(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31871, 10975, 31865, 31842])).
% 80.20/52.06 tff(31873,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB9) | (~v187(constB9)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB9) | (~v187(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31874,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB9) | (~v187(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.06 tff(31875,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB9) | (~v187(constB9))),
% 80.20/52.06 inference(modus_ponens,[status(thm)],[31874, 31873])).
% 80.20/52.06 tff(31876,plain,
% 80.20/52.06 (~v187(constB9)),
% 80.20/52.06 inference(unit_resolution,[status(thm)],[31875, 10989, 31872])).
% 80.20/52.06 tff(31877,plain,
% 80.20/52.06 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB9) | (~v185(constB9)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB9) | (~v185(constB9)))),
% 80.20/52.06 inference(rewrite,[status(thm)],[])).
% 80.20/52.06 tff(31878,plain,
% 80.20/52.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB9) | (~v185(constB9)))),
% 80.20/52.06 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31879,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB9) | (~v185(constB9))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 80.20/52.07 tff(31880,plain,
% 80.20/52.07 (~v185(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31879, 11000, 31876])).
% 80.20/52.07 tff(31881,assumption,(v18(constB10)), introduced(assumption)).
% 80.20/52.07 tff(31882,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB10))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31883,plain,
% 80.20/52.07 ($false),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31882, 70, 31881])).
% 80.20/52.07 tff(31884,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 80.20/52.07 tff(31885,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31886,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31887,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31886, 31885])).
% 80.20/52.07 tff(31888,plain,
% 80.20/52.07 (v22(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31887, 83, 1741])).
% 80.20/52.07 tff(31889,plain,
% 80.20/52.07 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31890,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31891,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10)),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31890, 31889])).
% 80.20/52.07 tff(31892,plain,
% 80.20/52.07 ((~v19(constB10)) | v18(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31891, 97, 31888])).
% 80.20/52.07 tff(31893,plain,
% 80.20/52.07 (~v19(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31892, 31884])).
% 80.20/52.07 tff(31894,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31895,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31896,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 80.20/52.07 tff(31897,plain,
% 80.20/52.07 (v13(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31896, 112, 31893])).
% 80.20/52.07 tff(31898,plain,
% 80.20/52.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31899,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31900,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9)),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31899, 31898])).
% 80.20/52.07 tff(31901,plain,
% 80.20/52.07 ((~v13(constB10)) | v9(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31900, 129, 1721])).
% 80.20/52.07 tff(31902,plain,
% 80.20/52.07 (v9(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31901, 31897])).
% 80.20/52.07 tff(31903,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v184(constB9))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB9) | (~v9(constB9)) | v184(constB9))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31904,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v184(constB9))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31905,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB9) | (~v9(constB9)) | v184(constB9)),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31904, 31903])).
% 80.20/52.07 tff(31906,plain,
% 80.20/52.07 ((~v9(constB9)) | v184(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31905, 11036, 1550])).
% 80.20/52.07 tff(31907,plain,
% 80.20/52.07 (v184(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31906, 31902])).
% 80.20/52.07 tff(31908,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB9) | (~v184(constB9)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB9) | (~v184(constB9)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31909,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB9) | (~v184(constB9)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31910,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB9) | (~v184(constB9))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 80.20/52.07 tff(31911,plain,
% 80.20/52.07 (v183(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31910, 11048, 31907])).
% 80.20/52.07 tff(31912,plain,
% 80.20/52.07 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB9)) | (~v183(constB9)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB9)) | (~v183(constB9)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31913,plain,
% 80.20/52.07 (((~v183(constB9)) | (~v181(constB9))) <=> ((~v181(constB9)) | (~v183(constB9)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31914,plain,
% 80.20/52.07 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB9)) | (~v181(constB9)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB9)) | (~v183(constB9))))),
% 80.20/52.07 inference(monotonicity,[status(thm)],[31913])).
% 80.20/52.07 tff(31915,plain,
% 80.20/52.07 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB9)) | (~v181(constB9)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB9)) | (~v183(constB9)))),
% 80.20/52.07 inference(transitivity,[status(thm)],[31914, 31912])).
% 80.20/52.07 tff(31916,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB9)) | (~v181(constB9)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31917,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB9)) | (~v183(constB9))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31916, 31915])).
% 80.20/52.07 tff(31918,plain,
% 80.20/52.07 (~v181(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31917, 11059, 31911])).
% 80.20/52.07 tff(31919,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB9) | v185(constB9) | (~v178(constB9)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB9) | v185(constB9) | (~v178(constB9)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31920,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB9) | v185(constB9) | (~v178(constB9)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31921,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB9) | v185(constB9) | (~v178(constB9))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31920, 31919])).
% 80.20/52.07 tff(31922,plain,
% 80.20/52.07 (v185(constB9) | (~v178(constB9))),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31921, 11073, 31918])).
% 80.20/52.07 tff(31923,plain,
% 80.20/52.07 (~v178(constB9)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31922, 31880])).
% 80.20/52.07 tff(31924,plain,
% 80.20/52.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31925,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31926,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 80.20/52.07 tff(31927,plain,
% 80.20/52.07 (v178(constB9) | (~v180(constB10))),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31926, 11088, 1721])).
% 80.20/52.07 tff(31928,plain,
% 80.20/52.07 (~v180(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31927, 31923])).
% 80.20/52.07 tff(31929,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB10) | (~v181(constB10)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB10) | (~v181(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31930,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB10) | (~v181(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31931,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB10) | (~v181(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 80.20/52.07 tff(31932,plain,
% 80.20/52.07 (~v181(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31931, 11100, 31928])).
% 80.20/52.07 tff(31933,plain,
% 80.20/52.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB10)) | (~v184(constB10)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB10)) | (~v184(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31934,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB10)) | (~v184(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31935,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB10)) | (~v184(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31934, 31933])).
% 80.20/52.07 tff(31936,plain,
% 80.20/52.07 (~v184(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31935, 11111, 1741])).
% 80.20/52.07 tff(31937,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB10) | (~v187(constB10)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB10) | (~v187(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31938,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB10) | (~v187(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31939,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB10) | (~v187(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 80.20/52.07 tff(31940,plain,
% 80.20/52.07 (~v187(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31939, 11122, 31936])).
% 80.20/52.07 tff(31941,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB10) | (~v185(constB10)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB10) | (~v185(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31942,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB10) | (~v185(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31943,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB10) | (~v185(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31942, 31941])).
% 80.20/52.07 tff(31944,plain,
% 80.20/52.07 (~v185(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31943, 11000, 31940])).
% 80.20/52.07 tff(31945,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB10) | v185(constB10) | (~v178(constB10)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB10) | v185(constB10) | (~v178(constB10)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31946,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB10) | v185(constB10) | (~v178(constB10)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31947,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB10) | v185(constB10) | (~v178(constB10))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31946, 31945])).
% 80.20/52.07 tff(31948,plain,
% 80.20/52.07 (v181(constB10) | (~v178(constB10))),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31947, 11073, 31944])).
% 80.20/52.07 tff(31949,plain,
% 80.20/52.07 (~v178(constB10)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31948, 31932])).
% 80.20/52.07 tff(31950,plain,
% 80.20/52.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31951,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31952,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31951, 31950])).
% 80.20/52.07 tff(31953,plain,
% 80.20/52.07 (v178(constB10) | (~v180(constB11))),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31952, 11088, 1796])).
% 80.20/52.07 tff(31954,plain,
% 80.20/52.07 (~v180(constB11)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31953, 31949])).
% 80.20/52.07 tff(31955,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB11) | (~v181(constB11)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB11) | (~v181(constB11)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31956,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB11) | (~v181(constB11)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31957,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB11) | (~v181(constB11))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 80.20/52.07 tff(31958,plain,
% 80.20/52.07 (~v181(constB11)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31957, 11100, 31954])).
% 80.20/52.07 tff(31959,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB11) | v185(constB11) | (~v178(constB11)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB11) | v185(constB11) | (~v178(constB11)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31960,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB11) | v185(constB11) | (~v178(constB11)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31961,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB11) | v185(constB11) | (~v178(constB11))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31960, 31959])).
% 80.20/52.07 tff(31962,plain,
% 80.20/52.07 (v185(constB11) | (~v178(constB11))),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31961, 11073, 31958])).
% 80.20/52.07 tff(31963,plain,
% 80.20/52.07 (~v178(constB11)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31962, 31826])).
% 80.20/52.07 tff(31964,plain,
% 80.20/52.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31965,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31966,plain,
% 80.20/52.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31965, 31964])).
% 80.20/52.07 tff(31967,plain,
% 80.20/52.07 (v178(constB11) | (~v180(constB12))),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31966, 11088, 1978])).
% 80.20/52.07 tff(31968,plain,
% 80.20/52.07 (~v180(constB12)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31967, 31963])).
% 80.20/52.07 tff(31969,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB12) | (~v181(constB12)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB12) | (~v181(constB12)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31970,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB12) | (~v181(constB12)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31971,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB12) | (~v181(constB12))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31970, 31969])).
% 80.20/52.07 tff(31972,plain,
% 80.20/52.07 (~v181(constB12)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31971, 11100, 31968])).
% 80.20/52.07 tff(31973,plain,
% 80.20/52.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31974,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31975,plain,
% 80.20/52.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31974, 31973])).
% 80.20/52.07 tff(31976,plain,
% 80.20/52.07 (~v184(constB12)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31975, 11111, 2004])).
% 80.20/52.07 tff(31977,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB12) | (~v187(constB12)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB12) | (~v187(constB12)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31978,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB12) | (~v187(constB12)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31979,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB12) | (~v187(constB12))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 80.20/52.07 tff(31980,plain,
% 80.20/52.07 (~v187(constB12)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31979, 11122, 31976])).
% 80.20/52.07 tff(31981,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB12) | (~v185(constB12)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB12) | (~v185(constB12)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31982,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB12) | (~v185(constB12)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31983,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB12) | (~v185(constB12))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 80.20/52.07 tff(31984,plain,
% 80.20/52.07 (~v185(constB12)),
% 80.20/52.07 inference(unit_resolution,[status(thm)],[31983, 11000, 31980])).
% 80.20/52.07 tff(31985,plain,
% 80.20/52.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB12) | v185(constB12) | (~v178(constB12)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB12) | v185(constB12) | (~v178(constB12)))),
% 80.20/52.07 inference(rewrite,[status(thm)],[])).
% 80.20/52.07 tff(31986,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB12) | v185(constB12) | (~v178(constB12)))),
% 80.20/52.07 inference(quant_inst,[status(thm)],[])).
% 80.20/52.07 tff(31987,plain,
% 80.20/52.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB12) | v185(constB12) | (~v178(constB12))),
% 80.20/52.07 inference(modus_ponens,[status(thm)],[31986, 31985])).
% 80.20/52.08 tff(31988,plain,
% 80.20/52.08 (v181(constB12) | (~v178(constB12))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[31987, 11073, 31984])).
% 80.20/52.08 tff(31989,plain,
% 80.20/52.08 (~v178(constB12)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[31988, 31972])).
% 80.20/52.08 tff(31990,plain,
% 80.20/52.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(31991,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(31992,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[31991, 31990])).
% 80.20/52.08 tff(31993,plain,
% 80.20/52.08 (v178(constB12) | (~v180(constB13))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[31992, 11088, 44])).
% 80.20/52.08 tff(31994,plain,
% 80.20/52.08 (~v180(constB13)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[31993, 31989])).
% 80.20/52.08 tff(31995,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB13) | (~v215(constB13)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB13) | (~v215(constB13)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(31996,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB13) | (~v215(constB13)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(31997,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB13) | (~v215(constB13))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[31996, 31995])).
% 80.20/52.08 tff(31998,plain,
% 80.20/52.08 (~v215(constB13)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[31997, 11147, 31994])).
% 80.20/52.08 tff(31999,plain,
% 80.20/52.08 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB13)) | (~v214(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB13)) | (~v214(constB13)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32000,plain,
% 80.20/52.08 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB13)) | (~v214(constB13)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32001,plain,
% 80.20/52.08 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB13)) | (~v214(constB13))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32000, 31999])).
% 80.20/52.08 tff(32002,plain,
% 80.20/52.08 (~v214(constB13)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32001, 11189, 31522])).
% 80.20/52.08 tff(32003,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB13) | v215(constB13) | (~v211(constB13)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB13) | v215(constB13) | (~v211(constB13)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32004,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB13) | v215(constB13) | (~v211(constB13)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32005,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB13) | v215(constB13) | (~v211(constB13))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32004, 32003])).
% 80.20/52.08 tff(32006,plain,
% 80.20/52.08 (v215(constB13) | (~v211(constB13))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32005, 11203, 32002])).
% 80.20/52.08 tff(32007,plain,
% 80.20/52.08 (~v211(constB13)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32006, 31998])).
% 80.20/52.08 tff(32008,plain,
% 80.20/52.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB13, constB14)) | v211(constB13) | (~v213(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB13, constB14)) | v211(constB13) | (~v213(constB14)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32009,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB13, constB14)) | v211(constB13) | (~v213(constB14)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32010,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB13, constB14)) | v211(constB13) | (~v213(constB14))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 80.20/52.08 tff(32011,plain,
% 80.20/52.08 (v211(constB13) | (~v213(constB14))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32010, 11218, 119])).
% 80.20/52.08 tff(32012,plain,
% 80.20/52.08 (~v213(constB14)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32011, 32007])).
% 80.20/52.08 tff(32013,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB14) | (~v214(constB14)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB14) | (~v214(constB14)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32014,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB14) | (~v214(constB14)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32015,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB14) | (~v214(constB14))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 80.20/52.08 tff(32016,plain,
% 80.20/52.08 (~v214(constB14)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32015, 11230, 32012])).
% 80.20/52.08 tff(32017,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB14) | (~v217(constB14)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB14) | (~v217(constB14)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32018,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB14) | (~v217(constB14)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32019,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB14) | (~v217(constB14))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 80.20/52.08 tff(32020,plain,
% 80.20/52.08 (~v217(constB14)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32019, 11245, 31547])).
% 80.20/52.08 tff(32021,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB14) | (~v216(constB14)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB14) | (~v216(constB14)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32022,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB14) | (~v216(constB14)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32023,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB14) | (~v216(constB14))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 80.20/52.08 tff(32024,plain,
% 80.20/52.08 (~v216(constB14)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32023, 11256, 32020])).
% 80.20/52.08 tff(32025,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB14) | (~v215(constB14)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB14) | (~v215(constB14)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32026,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB14) | (~v215(constB14)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32027,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB14) | (~v215(constB14))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 80.20/52.08 tff(32028,plain,
% 80.20/52.08 (~v215(constB14)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32027, 11267, 32024])).
% 80.20/52.08 tff(32029,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB14) | v215(constB14) | (~v211(constB14)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB14) | v215(constB14) | (~v211(constB14)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32030,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB14) | v215(constB14) | (~v211(constB14)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32031,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB14) | v215(constB14) | (~v211(constB14))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32030, 32029])).
% 80.20/52.08 tff(32032,plain,
% 80.20/52.08 (v214(constB14) | (~v211(constB14))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32031, 11203, 32028])).
% 80.20/52.08 tff(32033,plain,
% 80.20/52.08 (~v211(constB14)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32032, 32016])).
% 80.20/52.08 tff(32034,plain,
% 80.20/52.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB14, constB15)) | v211(constB14) | (~v213(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB14, constB15)) | v211(constB14) | (~v213(constB15)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32035,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB14, constB15)) | v211(constB14) | (~v213(constB15)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32036,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB14, constB15)) | v211(constB14) | (~v213(constB15))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32035, 32034])).
% 80.20/52.08 tff(32037,plain,
% 80.20/52.08 (v211(constB14) | (~v213(constB15))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32036, 11218, 2324])).
% 80.20/52.08 tff(32038,plain,
% 80.20/52.08 (~v213(constB15)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32037, 32033])).
% 80.20/52.08 tff(32039,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB15) | (~v214(constB15)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB15) | (~v214(constB15)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32040,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB15) | (~v214(constB15)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32041,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB15) | (~v214(constB15))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32040, 32039])).
% 80.20/52.08 tff(32042,plain,
% 80.20/52.08 (~v214(constB15)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32041, 11230, 32038])).
% 80.20/52.08 tff(32043,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB15) | v215(constB15) | (~v211(constB15)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB15) | v215(constB15) | (~v211(constB15)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32044,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB15) | v215(constB15) | (~v211(constB15)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32045,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB15) | v215(constB15) | (~v211(constB15))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32044, 32043])).
% 80.20/52.08 tff(32046,plain,
% 80.20/52.08 (v215(constB15) | (~v211(constB15))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32045, 11203, 32042])).
% 80.20/52.08 tff(32047,plain,
% 80.20/52.08 (~v211(constB15)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32046, 31751])).
% 80.20/52.08 tff(32048,plain,
% 80.20/52.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB15, constB16)) | v211(constB15) | (~v213(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB15, constB16)) | v211(constB15) | (~v213(constB16)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32049,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB15, constB16)) | v211(constB15) | (~v213(constB16)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32050,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB15, constB16)) | v211(constB15) | (~v213(constB16))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32049, 32048])).
% 80.20/52.08 tff(32051,plain,
% 80.20/52.08 (v211(constB15) | (~v213(constB16))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32050, 11218, 2482])).
% 80.20/52.08 tff(32052,plain,
% 80.20/52.08 (~v213(constB16)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32051, 32047])).
% 80.20/52.08 tff(32053,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB16) | (~v214(constB16)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB16) | (~v214(constB16)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32054,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB16) | (~v214(constB16)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32055,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB16) | (~v214(constB16))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 80.20/52.08 tff(32056,plain,
% 80.20/52.08 (~v214(constB16)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32055, 11230, 32052])).
% 80.20/52.08 tff(32057,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB16) | (~v215(constB16)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB16) | (~v215(constB16)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32058,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB16) | (~v215(constB16)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32059,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB16) | (~v215(constB16))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 80.20/52.08 tff(32060,plain,
% 80.20/52.08 (~v215(constB16)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32059, 11267, 31605])).
% 80.20/52.08 tff(32061,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB16) | v215(constB16) | (~v211(constB16)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB16) | v215(constB16) | (~v211(constB16)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32062,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB16) | v215(constB16) | (~v211(constB16)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32063,plain,
% 80.20/52.08 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB16) | v215(constB16) | (~v211(constB16))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 80.20/52.08 tff(32064,plain,
% 80.20/52.08 (v214(constB16) | (~v211(constB16))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32063, 11203, 32060])).
% 80.20/52.08 tff(32065,plain,
% 80.20/52.08 (~v211(constB16)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32064, 32056])).
% 80.20/52.08 tff(32066,plain,
% 80.20/52.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB16, constB17)) | v211(constB16) | (~v213(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB16, constB17)) | v211(constB16) | (~v213(constB17)))),
% 80.20/52.08 inference(rewrite,[status(thm)],[])).
% 80.20/52.08 tff(32067,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB16, constB17)) | v211(constB16) | (~v213(constB17)))),
% 80.20/52.08 inference(quant_inst,[status(thm)],[])).
% 80.20/52.08 tff(32068,plain,
% 80.20/52.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB16, constB17)) | v211(constB16) | (~v213(constB17))),
% 80.20/52.08 inference(modus_ponens,[status(thm)],[32067, 32066])).
% 80.20/52.08 tff(32069,plain,
% 80.20/52.08 (v211(constB16) | (~v213(constB17))),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32068, 11218, 2547])).
% 80.20/52.08 tff(32070,plain,
% 80.20/52.08 (~v213(constB17)),
% 80.20/52.08 inference(unit_resolution,[status(thm)],[32069, 32065])).
% 80.20/52.08 tff(32071,plain,
% 80.20/52.08 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB17) | (~v297(constB17)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB17) | (~v297(constB17)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32072,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB17) | (~v297(constB17)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32073,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB17) | (~v297(constB17))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32072, 32071])).
% 80.20/52.09 tff(32074,plain,
% 80.20/52.09 (~v297(constB17)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32073, 11288, 32070])).
% 80.20/52.09 tff(32075,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB17) | v297(constB17) | (~v292(constB17)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB17) | v297(constB17) | (~v292(constB17)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32076,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB17) | v297(constB17) | (~v292(constB17)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32077,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB17) | v297(constB17) | (~v292(constB17))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 80.20/52.09 tff(32078,plain,
% 80.20/52.09 (v293(constB17) | (~v292(constB17))),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32077, 11451, 32074])).
% 80.20/52.09 tff(32079,plain,
% 80.20/52.09 (~v292(constB17)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32078, 31680])).
% 80.20/52.09 tff(32080,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB15) | (~v245(constB15)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB15) | (~v245(constB15)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32081,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB15) | (~v245(constB15)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32082,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB15) | (~v245(constB15))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32081, 32080])).
% 80.20/52.09 tff(32083,plain,
% 80.20/52.09 (~v245(constB15)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32082, 11683, 32038])).
% 80.20/52.09 tff(32084,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB11) | (~v215(constB11)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB11) | (~v215(constB11)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32085,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB11) | (~v215(constB11)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32086,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB11) | (~v215(constB11))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32085, 32084])).
% 80.20/52.09 tff(32087,plain,
% 80.20/52.09 (~v215(constB11)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32086, 11147, 31954])).
% 80.20/52.09 tff(32088,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32089,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32090,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32089, 32088])).
% 80.20/52.09 tff(32091,plain,
% 80.20/52.09 (~v88(constB7, bitIndex2)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32090, 11467, 1311])).
% 80.20/52.09 tff(32092,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32093,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32094,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1)),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32093, 32092])).
% 80.20/52.09 tff(32095,plain,
% 80.20/52.09 (v88(constB7, bitIndex1)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32094, 10690, 1352])).
% 80.20/52.09 tff(32096,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32097,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32098,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0)),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 80.20/52.09 tff(32099,plain,
% 80.20/52.09 (v88(constB7, bitIndex0)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32098, 11313, 1393])).
% 80.20/52.09 tff(32100,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32101,plain,
% 80.20/52.09 ((v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7)) <=> ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32102,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7)))),
% 80.20/52.09 inference(monotonicity,[status(thm)],[32101])).
% 80.20/52.09 tff(32103,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 80.20/52.09 inference(transitivity,[status(thm)],[32102, 32100])).
% 80.20/52.09 tff(32104,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32105,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7)),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32104, 32103])).
% 80.20/52.09 tff(32106,plain,
% 80.20/52.09 (v141(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32105, 11485, 32099, 32095, 32091])).
% 80.20/52.09 tff(32107,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB7) | (~v141(constB7)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB7) | (~v141(constB7)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32108,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB7) | (~v141(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32109,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB7) | (~v141(constB7))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 80.20/52.09 tff(32110,plain,
% 80.20/52.09 (v228(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32109, 11500, 32106])).
% 80.20/52.09 tff(32111,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB7) | (~v228(constB7)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB7) | (~v228(constB7)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32112,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB7) | (~v228(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32113,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB7) | (~v228(constB7))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32112, 32111])).
% 80.20/52.09 tff(32114,plain,
% 80.20/52.09 (v227(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32113, 11511, 32110])).
% 80.20/52.09 tff(32115,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB7) | (~v227(constB7)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB7) | (~v227(constB7)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32116,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB7) | (~v227(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32117,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB7) | (~v227(constB7))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 80.20/52.09 tff(32118,plain,
% 80.20/52.09 (v226(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32117, 10817, 32114])).
% 80.20/52.09 tff(32119,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB7)) | (~v88(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB7)) | (~v88(constB7, bitIndex1)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32120,plain,
% 80.20/52.09 (((~v88(constB7, bitIndex1)) | (~v140(constB7))) <=> ((~v140(constB7)) | (~v88(constB7, bitIndex1)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32121,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB7, bitIndex1)) | (~v140(constB7)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB7)) | (~v88(constB7, bitIndex1))))),
% 80.20/52.09 inference(monotonicity,[status(thm)],[32120])).
% 80.20/52.09 tff(32122,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB7, bitIndex1)) | (~v140(constB7)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB7)) | (~v88(constB7, bitIndex1)))),
% 80.20/52.09 inference(transitivity,[status(thm)],[32121, 32119])).
% 80.20/52.09 tff(32123,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB7, bitIndex1)) | (~v140(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32124,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB7)) | (~v88(constB7, bitIndex1))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 80.20/52.09 tff(32125,plain,
% 80.20/52.09 (~v140(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32124, 11526, 32095])).
% 80.20/52.09 tff(32126,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB7)) | (~v88(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB7)) | (~v88(constB7, bitIndex0)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32127,plain,
% 80.20/52.09 (((~v88(constB7, bitIndex0)) | (~v139(constB7))) <=> ((~v139(constB7)) | (~v88(constB7, bitIndex0)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32128,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB7, bitIndex0)) | (~v139(constB7)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB7)) | (~v88(constB7, bitIndex0))))),
% 80.20/52.09 inference(monotonicity,[status(thm)],[32127])).
% 80.20/52.09 tff(32129,plain,
% 80.20/52.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB7, bitIndex0)) | (~v139(constB7)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB7)) | (~v88(constB7, bitIndex0)))),
% 80.20/52.09 inference(transitivity,[status(thm)],[32128, 32126])).
% 80.20/52.09 tff(32130,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB7, bitIndex0)) | (~v139(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32131,plain,
% 80.20/52.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB7)) | (~v88(constB7, bitIndex0))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32130, 32129])).
% 80.20/52.09 tff(32132,plain,
% 80.20/52.09 (~v139(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32131, 11324, 32099])).
% 80.20/52.09 tff(32133,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB7) | v139(constB7) | (~v168(constB7)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32134,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32135,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB7) | v139(constB7) | (~v168(constB7))),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32134, 32133])).
% 80.20/52.09 tff(32136,plain,
% 80.20/52.09 (~v168(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32135, 10907, 32132, 32125])).
% 80.20/52.09 tff(32137,plain,
% 80.20/52.09 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB7)) | (~v226(constB7)) | v168(constB7))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB7)) | (~v226(constB7)) | v168(constB7))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32138,plain,
% 80.20/52.09 ((v168(constB7) | (~v226(constB7)) | (~v161(constB7))) <=> ((~v161(constB7)) | (~v226(constB7)) | v168(constB7))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32139,plain,
% 80.20/52.09 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB7) | (~v226(constB7)) | (~v161(constB7)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB7)) | (~v226(constB7)) | v168(constB7)))),
% 80.20/52.09 inference(monotonicity,[status(thm)],[32138])).
% 80.20/52.09 tff(32140,plain,
% 80.20/52.09 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB7) | (~v226(constB7)) | (~v161(constB7)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB7)) | (~v226(constB7)) | v168(constB7))),
% 80.20/52.09 inference(transitivity,[status(thm)],[32139, 32137])).
% 80.20/52.09 tff(32141,plain,
% 80.20/52.09 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB7) | (~v226(constB7)) | (~v161(constB7)))),
% 80.20/52.09 inference(quant_inst,[status(thm)],[])).
% 80.20/52.09 tff(32142,plain,
% 80.20/52.09 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB7)) | (~v226(constB7)) | v168(constB7)),
% 80.20/52.09 inference(modus_ponens,[status(thm)],[32141, 32140])).
% 80.20/52.09 tff(32143,plain,
% 80.20/52.09 ((~v161(constB7)) | (~v226(constB7))),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32142, 10975, 32136])).
% 80.20/52.09 tff(32144,plain,
% 80.20/52.09 (~v161(constB7)),
% 80.20/52.09 inference(unit_resolution,[status(thm)],[32143, 32118])).
% 80.20/52.09 tff(32145,plain,
% 80.20/52.09 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB7) | (~v187(constB7)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB7) | (~v187(constB7)))),
% 80.20/52.09 inference(rewrite,[status(thm)],[])).
% 80.20/52.09 tff(32146,plain,
% 80.20/52.09 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB7) | (~v187(constB7)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32147,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB7) | (~v187(constB7))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32146, 32145])).
% 80.20/52.10 tff(32148,plain,
% 80.20/52.10 (~v187(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32147, 10989, 32144])).
% 80.20/52.10 tff(32149,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB7) | (~v185(constB7)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB7) | (~v185(constB7)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32150,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB7) | (~v185(constB7)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32151,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB7) | (~v185(constB7))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32150, 32149])).
% 80.20/52.10 tff(32152,plain,
% 80.20/52.10 (~v185(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32151, 11000, 32148])).
% 80.20/52.10 tff(32153,assumption,(v18(constB8)), introduced(assumption)).
% 80.20/52.10 tff(32154,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB8))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32155,plain,
% 80.20/52.10 ($false),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32154, 70, 32153])).
% 80.20/52.10 tff(32156,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 80.20/52.10 tff(32157,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32158,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32159,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32158, 32157])).
% 80.20/52.10 tff(32160,plain,
% 80.20/52.10 (v22(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32159, 83, 1515])).
% 80.20/52.10 tff(32161,plain,
% 80.20/52.10 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32162,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32163,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8)),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32162, 32161])).
% 80.20/52.10 tff(32164,plain,
% 80.20/52.10 ((~v19(constB8)) | v18(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32163, 97, 32160])).
% 80.20/52.10 tff(32165,plain,
% 80.20/52.10 (~v19(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32164, 32156])).
% 80.20/52.10 tff(32166,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32167,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32168,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 80.20/52.10 tff(32169,plain,
% 80.20/52.10 (v13(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32168, 112, 32165])).
% 80.20/52.10 tff(32170,plain,
% 80.20/52.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32171,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32172,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7)),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32171, 32170])).
% 80.20/52.10 tff(32173,plain,
% 80.20/52.10 ((~v13(constB8)) | v9(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32172, 129, 1439])).
% 80.20/52.10 tff(32174,plain,
% 80.20/52.10 (v9(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32173, 32169])).
% 80.20/52.10 tff(32175,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v184(constB7))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB7) | (~v9(constB7)) | v184(constB7))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32176,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v184(constB7))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32177,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB7) | (~v9(constB7)) | v184(constB7)),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 80.20/52.10 tff(32178,plain,
% 80.20/52.10 ((~v9(constB7)) | v184(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32177, 11036, 1287])).
% 80.20/52.10 tff(32179,plain,
% 80.20/52.10 (v184(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32178, 32174])).
% 80.20/52.10 tff(32180,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB7) | (~v184(constB7)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB7) | (~v184(constB7)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32181,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB7) | (~v184(constB7)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32182,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB7) | (~v184(constB7))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 80.20/52.10 tff(32183,plain,
% 80.20/52.10 (v183(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32182, 11048, 32179])).
% 80.20/52.10 tff(32184,plain,
% 80.20/52.10 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB7)) | (~v181(constB7)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB7)) | (~v181(constB7)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32185,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB7)) | (~v181(constB7)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32186,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB7)) | (~v181(constB7))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32185, 32184])).
% 80.20/52.10 tff(32187,plain,
% 80.20/52.10 (~v181(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32186, 11059, 32183])).
% 80.20/52.10 tff(32188,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB7) | v185(constB7) | (~v178(constB7)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB7) | v185(constB7) | (~v178(constB7)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32189,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB7) | v185(constB7) | (~v178(constB7)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32190,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB7) | v185(constB7) | (~v178(constB7))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32189, 32188])).
% 80.20/52.10 tff(32191,plain,
% 80.20/52.10 (v185(constB7) | (~v178(constB7))),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32190, 11073, 32187])).
% 80.20/52.10 tff(32192,plain,
% 80.20/52.10 (~v178(constB7)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32191, 32152])).
% 80.20/52.10 tff(32193,plain,
% 80.20/52.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32194,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32195,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32194, 32193])).
% 80.20/52.10 tff(32196,plain,
% 80.20/52.10 (v178(constB7) | (~v180(constB8))),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32195, 11088, 1439])).
% 80.20/52.10 tff(32197,plain,
% 80.20/52.10 (~v180(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32196, 32192])).
% 80.20/52.10 tff(32198,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB8) | (~v181(constB8)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB8) | (~v181(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32199,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB8) | (~v181(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32200,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB8) | (~v181(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32199, 32198])).
% 80.20/52.10 tff(32201,plain,
% 80.20/52.10 (~v181(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32200, 11100, 32197])).
% 80.20/52.10 tff(32202,plain,
% 80.20/52.10 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB8)) | (~v184(constB8)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB8)) | (~v184(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32203,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB8)) | (~v184(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32204,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB8)) | (~v184(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32203, 32202])).
% 80.20/52.10 tff(32205,plain,
% 80.20/52.10 (~v184(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32204, 11111, 1515])).
% 80.20/52.10 tff(32206,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB8) | (~v187(constB8)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB8) | (~v187(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32207,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB8) | (~v187(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32208,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB8) | (~v187(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32207, 32206])).
% 80.20/52.10 tff(32209,plain,
% 80.20/52.10 (~v187(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32208, 11122, 32205])).
% 80.20/52.10 tff(32210,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB8) | (~v185(constB8)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB8) | (~v185(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32211,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB8) | (~v185(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32212,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB8) | (~v185(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32211, 32210])).
% 80.20/52.10 tff(32213,plain,
% 80.20/52.10 (~v185(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32212, 11000, 32209])).
% 80.20/52.10 tff(32214,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB8) | v185(constB8) | (~v178(constB8)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB8) | v185(constB8) | (~v178(constB8)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32215,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB8) | v185(constB8) | (~v178(constB8)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32216,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB8) | v185(constB8) | (~v178(constB8))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32215, 32214])).
% 80.20/52.10 tff(32217,plain,
% 80.20/52.10 (v181(constB8) | (~v178(constB8))),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32216, 11073, 32213])).
% 80.20/52.10 tff(32218,plain,
% 80.20/52.10 (~v178(constB8)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32217, 32201])).
% 80.20/52.10 tff(32219,plain,
% 80.20/52.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32220,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32221,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 80.20/52.10 tff(32222,plain,
% 80.20/52.10 (v178(constB8) | (~v180(constB9))),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32221, 11088, 1553])).
% 80.20/52.10 tff(32223,plain,
% 80.20/52.10 (~v180(constB9)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32222, 32218])).
% 80.20/52.10 tff(32224,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB9) | (~v215(constB9)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB9) | (~v215(constB9)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32225,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB9) | (~v215(constB9)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32226,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB9) | (~v215(constB9))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32225, 32224])).
% 80.20/52.10 tff(32227,plain,
% 80.20/52.10 (~v215(constB9)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32226, 11147, 32223])).
% 80.20/52.10 tff(32228,plain,
% 80.20/52.10 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB9)) | (~v214(constB9)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB9)) | (~v214(constB9)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32229,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB9)) | (~v214(constB9)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32230,plain,
% 80.20/52.10 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB9)) | (~v214(constB9))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32229, 32228])).
% 80.20/52.10 tff(32231,plain,
% 80.20/52.10 (~v214(constB9)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32230, 11189, 31911])).
% 80.20/52.10 tff(32232,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB9) | v215(constB9) | (~v211(constB9)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB9) | v215(constB9) | (~v211(constB9)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32233,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB9) | v215(constB9) | (~v211(constB9)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32234,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB9) | v215(constB9) | (~v211(constB9))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32233, 32232])).
% 80.20/52.10 tff(32235,plain,
% 80.20/52.10 (v215(constB9) | (~v211(constB9))),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32234, 11203, 32231])).
% 80.20/52.10 tff(32236,plain,
% 80.20/52.10 (~v211(constB9)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32235, 32227])).
% 80.20/52.10 tff(32237,plain,
% 80.20/52.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB9, constB10)) | v211(constB9) | (~v213(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB9, constB10)) | v211(constB9) | (~v213(constB10)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32238,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB9, constB10)) | v211(constB9) | (~v213(constB10)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32239,plain,
% 80.20/52.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB9, constB10)) | v211(constB9) | (~v213(constB10))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32238, 32237])).
% 80.20/52.10 tff(32240,plain,
% 80.20/52.10 (v211(constB9) | (~v213(constB10))),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32239, 11218, 1721])).
% 80.20/52.10 tff(32241,plain,
% 80.20/52.10 (~v213(constB10)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32240, 32236])).
% 80.20/52.10 tff(32242,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB10) | (~v214(constB10)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB10) | (~v214(constB10)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32243,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB10) | (~v214(constB10)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32244,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB10) | (~v214(constB10))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 80.20/52.10 tff(32245,plain,
% 80.20/52.10 (~v214(constB10)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32244, 11230, 32241])).
% 80.20/52.10 tff(32246,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB10) | (~v217(constB10)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB10) | (~v217(constB10)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32247,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB10) | (~v217(constB10)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32248,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB10) | (~v217(constB10))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32247, 32246])).
% 80.20/52.10 tff(32249,plain,
% 80.20/52.10 (~v217(constB10)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32248, 11245, 31936])).
% 80.20/52.10 tff(32250,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB10) | (~v216(constB10)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB10) | (~v216(constB10)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32251,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB10) | (~v216(constB10)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32252,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB10) | (~v216(constB10))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32251, 32250])).
% 80.20/52.10 tff(32253,plain,
% 80.20/52.10 (~v216(constB10)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32252, 11256, 32249])).
% 80.20/52.10 tff(32254,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB10) | (~v215(constB10)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB10) | (~v215(constB10)))),
% 80.20/52.10 inference(rewrite,[status(thm)],[])).
% 80.20/52.10 tff(32255,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB10) | (~v215(constB10)))),
% 80.20/52.10 inference(quant_inst,[status(thm)],[])).
% 80.20/52.10 tff(32256,plain,
% 80.20/52.10 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB10) | (~v215(constB10))),
% 80.20/52.10 inference(modus_ponens,[status(thm)],[32255, 32254])).
% 80.20/52.10 tff(32257,plain,
% 80.20/52.10 (~v215(constB10)),
% 80.20/52.10 inference(unit_resolution,[status(thm)],[32256, 11267, 32253])).
% 80.20/52.10 tff(32258,plain,
% 80.20/52.10 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB10) | v215(constB10) | (~v211(constB10)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB10) | v215(constB10) | (~v211(constB10)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32259,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB10) | v215(constB10) | (~v211(constB10)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32260,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB10) | v215(constB10) | (~v211(constB10))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32259, 32258])).
% 80.20/52.11 tff(32261,plain,
% 80.20/52.11 (v214(constB10) | (~v211(constB10))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32260, 11203, 32257])).
% 80.20/52.11 tff(32262,plain,
% 80.20/52.11 (~v211(constB10)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32261, 32245])).
% 80.20/52.11 tff(32263,plain,
% 80.20/52.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB10, constB11)) | v211(constB10) | (~v213(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB10, constB11)) | v211(constB10) | (~v213(constB11)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32264,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB10, constB11)) | v211(constB10) | (~v213(constB11)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32265,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB10, constB11)) | v211(constB10) | (~v213(constB11))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32264, 32263])).
% 80.20/52.11 tff(32266,plain,
% 80.20/52.11 (v211(constB10) | (~v213(constB11))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32265, 11218, 1796])).
% 80.20/52.11 tff(32267,plain,
% 80.20/52.11 (~v213(constB11)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32266, 32262])).
% 80.20/52.11 tff(32268,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB11) | (~v214(constB11)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB11) | (~v214(constB11)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32269,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB11) | (~v214(constB11)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32270,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB11) | (~v214(constB11))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32269, 32268])).
% 80.20/52.11 tff(32271,plain,
% 80.20/52.11 (~v214(constB11)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32270, 11230, 32267])).
% 80.20/52.11 tff(32272,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB11) | v215(constB11) | (~v211(constB11)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB11) | v215(constB11) | (~v211(constB11)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32273,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB11) | v215(constB11) | (~v211(constB11)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32274,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB11) | v215(constB11) | (~v211(constB11))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32273, 32272])).
% 80.20/52.11 tff(32275,plain,
% 80.20/52.11 (v215(constB11) | (~v211(constB11))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32274, 11203, 32271])).
% 80.20/52.11 tff(32276,plain,
% 80.20/52.11 (~v211(constB11)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32275, 32087])).
% 80.20/52.11 tff(32277,plain,
% 80.20/52.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB11, constB12)) | v211(constB11) | (~v213(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB11, constB12)) | v211(constB11) | (~v213(constB12)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32278,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB11, constB12)) | v211(constB11) | (~v213(constB12)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32279,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB11, constB12)) | v211(constB11) | (~v213(constB12))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32278, 32277])).
% 80.20/52.11 tff(32280,plain,
% 80.20/52.11 (v211(constB11) | (~v213(constB12))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32279, 11218, 1978])).
% 80.20/52.11 tff(32281,plain,
% 80.20/52.11 (~v213(constB12)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32280, 32276])).
% 80.20/52.11 tff(32282,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB12) | (~v214(constB12)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB12) | (~v214(constB12)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32283,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB12) | (~v214(constB12)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32284,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB12) | (~v214(constB12))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32283, 32282])).
% 80.20/52.11 tff(32285,plain,
% 80.20/52.11 (~v214(constB12)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32284, 11230, 32281])).
% 80.20/52.11 tff(32286,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB12) | (~v217(constB12)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB12) | (~v217(constB12)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32287,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB12) | (~v217(constB12)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32288,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB12) | (~v217(constB12))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32287, 32286])).
% 80.20/52.11 tff(32289,plain,
% 80.20/52.11 (~v217(constB12)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32288, 11245, 31976])).
% 80.20/52.11 tff(32290,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB12) | (~v216(constB12)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB12) | (~v216(constB12)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32291,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB12) | (~v216(constB12)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32292,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB12) | (~v216(constB12))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32291, 32290])).
% 80.20/52.11 tff(32293,plain,
% 80.20/52.11 (~v216(constB12)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32292, 11256, 32289])).
% 80.20/52.11 tff(32294,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB12) | (~v215(constB12)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB12) | (~v215(constB12)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32295,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB12) | (~v215(constB12)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32296,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB12) | (~v215(constB12))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 80.20/52.11 tff(32297,plain,
% 80.20/52.11 (~v215(constB12)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32296, 11267, 32293])).
% 80.20/52.11 tff(32298,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB12) | v215(constB12) | (~v211(constB12)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB12) | v215(constB12) | (~v211(constB12)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32299,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB12) | v215(constB12) | (~v211(constB12)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32300,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB12) | v215(constB12) | (~v211(constB12))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32299, 32298])).
% 80.20/52.11 tff(32301,plain,
% 80.20/52.11 (v214(constB12) | (~v211(constB12))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32300, 11203, 32297])).
% 80.20/52.11 tff(32302,plain,
% 80.20/52.11 (~v211(constB12)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32301, 32285])).
% 80.20/52.11 tff(32303,plain,
% 80.20/52.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB12, constB13)) | v211(constB12) | (~v213(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB12, constB13)) | v211(constB12) | (~v213(constB13)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32304,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB12, constB13)) | v211(constB12) | (~v213(constB13)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32305,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB12, constB13)) | v211(constB12) | (~v213(constB13))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32304, 32303])).
% 80.20/52.11 tff(32306,plain,
% 80.20/52.11 (v211(constB12) | (~v213(constB13))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32305, 11218, 44])).
% 80.20/52.11 tff(32307,plain,
% 80.20/52.11 (~v213(constB13)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32306, 32302])).
% 80.20/52.11 tff(32308,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB13) | (~v245(constB13)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB13) | (~v245(constB13)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32309,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB13) | (~v245(constB13)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32310,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB13) | (~v245(constB13))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32309, 32308])).
% 80.20/52.11 tff(32311,plain,
% 80.20/52.11 (~v245(constB13)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32310, 11683, 32307])).
% 80.20/52.11 tff(32312,plain,
% 80.20/52.11 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB13)) | (~v244(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB13)) | (~v244(constB13)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32313,plain,
% 80.20/52.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB13)) | (~v244(constB13)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32314,plain,
% 80.20/52.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB13)) | (~v244(constB13))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 80.20/52.11 tff(32315,plain,
% 80.20/52.11 (~v244(constB13)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32314, 11694, 31522])).
% 80.20/52.11 tff(32316,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB13) | v245(constB13) | (~v241(constB13)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB13) | v245(constB13) | (~v241(constB13)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32317,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB13) | v245(constB13) | (~v241(constB13)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32318,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB13) | v245(constB13) | (~v241(constB13))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 80.20/52.11 tff(32319,plain,
% 80.20/52.11 (v245(constB13) | (~v241(constB13))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32318, 11708, 32315])).
% 80.20/52.11 tff(32320,plain,
% 80.20/52.11 (~v241(constB13)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32319, 32311])).
% 80.20/52.11 tff(32321,plain,
% 80.20/52.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB13, constB14)) | v241(constB13) | (~v243(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB13, constB14)) | v241(constB13) | (~v243(constB14)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32322,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB13, constB14)) | v241(constB13) | (~v243(constB14)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32323,plain,
% 80.20/52.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB13, constB14)) | v241(constB13) | (~v243(constB14))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32322, 32321])).
% 80.20/52.11 tff(32324,plain,
% 80.20/52.11 (v241(constB13) | (~v243(constB14))),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32323, 11723, 119])).
% 80.20/52.11 tff(32325,plain,
% 80.20/52.11 (~v243(constB14)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32324, 32320])).
% 80.20/52.11 tff(32326,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB14) | (~v244(constB14)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB14) | (~v244(constB14)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32327,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB14) | (~v244(constB14)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32328,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB14) | (~v244(constB14))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32327, 32326])).
% 80.20/52.11 tff(32329,plain,
% 80.20/52.11 (~v244(constB14)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32328, 11735, 32325])).
% 80.20/52.11 tff(32330,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB14) | (~v247(constB14)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB14) | (~v247(constB14)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32331,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB14) | (~v247(constB14)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32332,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB14) | (~v247(constB14))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32331, 32330])).
% 80.20/52.11 tff(32333,plain,
% 80.20/52.11 (~v247(constB14)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32332, 11746, 31547])).
% 80.20/52.11 tff(32334,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB14) | (~v246(constB14)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB14) | (~v246(constB14)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32335,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB14) | (~v246(constB14)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32336,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB14) | (~v246(constB14))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 80.20/52.11 tff(32337,plain,
% 80.20/52.11 (~v246(constB14)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32336, 11757, 32333])).
% 80.20/52.11 tff(32338,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB14) | (~v245(constB14)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB14) | (~v245(constB14)))),
% 80.20/52.11 inference(rewrite,[status(thm)],[])).
% 80.20/52.11 tff(32339,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB14) | (~v245(constB14)))),
% 80.20/52.11 inference(quant_inst,[status(thm)],[])).
% 80.20/52.11 tff(32340,plain,
% 80.20/52.11 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB14) | (~v245(constB14))),
% 80.20/52.11 inference(modus_ponens,[status(thm)],[32339, 32338])).
% 80.20/52.11 tff(32341,plain,
% 80.20/52.11 (~v245(constB14)),
% 80.20/52.11 inference(unit_resolution,[status(thm)],[32340, 11768, 32337])).
% 80.20/52.11 tff(32342,plain,
% 80.20/52.11 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB14) | v245(constB14) | (~v241(constB14)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB14) | v245(constB14) | (~v241(constB14)))),
% 80.20/52.12 inference(rewrite,[status(thm)],[])).
% 80.20/52.12 tff(32343,plain,
% 80.20/52.12 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB14) | v245(constB14) | (~v241(constB14)))),
% 80.20/52.12 inference(quant_inst,[status(thm)],[])).
% 80.20/52.12 tff(32344,plain,
% 80.20/52.12 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB14) | v245(constB14) | (~v241(constB14))),
% 80.20/52.12 inference(modus_ponens,[status(thm)],[32343, 32342])).
% 80.20/52.12 tff(32345,plain,
% 80.20/52.12 (v244(constB14) | (~v241(constB14))),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32344, 11708, 32341])).
% 80.20/52.12 tff(32346,plain,
% 80.20/52.12 (~v241(constB14)),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32345, 32329])).
% 80.20/52.12 tff(32347,plain,
% 80.20/52.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB14, constB15)) | v241(constB14) | (~v243(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB14, constB15)) | v241(constB14) | (~v243(constB15)))),
% 80.20/52.12 inference(rewrite,[status(thm)],[])).
% 80.20/52.12 tff(32348,plain,
% 80.20/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB14, constB15)) | v241(constB14) | (~v243(constB15)))),
% 80.20/52.12 inference(quant_inst,[status(thm)],[])).
% 80.20/52.12 tff(32349,plain,
% 80.20/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB14, constB15)) | v241(constB14) | (~v243(constB15))),
% 80.20/52.12 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 80.20/52.12 tff(32350,plain,
% 80.20/52.12 (v241(constB14) | (~v243(constB15))),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32349, 11723, 2324])).
% 80.20/52.12 tff(32351,plain,
% 80.20/52.12 (~v243(constB15)),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32350, 32346])).
% 80.20/52.12 tff(32352,plain,
% 80.20/52.12 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB15) | (~v244(constB15)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB15) | (~v244(constB15)))),
% 80.20/52.12 inference(rewrite,[status(thm)],[])).
% 80.20/52.12 tff(32353,plain,
% 80.20/52.12 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB15) | (~v244(constB15)))),
% 80.20/52.12 inference(quant_inst,[status(thm)],[])).
% 80.20/52.12 tff(32354,plain,
% 80.20/52.12 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB15) | (~v244(constB15))),
% 80.20/52.12 inference(modus_ponens,[status(thm)],[32353, 32352])).
% 80.20/52.12 tff(32355,plain,
% 80.20/52.12 (~v244(constB15)),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32354, 11735, 32351])).
% 80.20/52.12 tff(32356,plain,
% 80.20/52.12 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB15) | v245(constB15) | (~v241(constB15)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB15) | v245(constB15) | (~v241(constB15)))),
% 80.20/52.12 inference(rewrite,[status(thm)],[])).
% 80.20/52.12 tff(32357,plain,
% 80.20/52.12 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB15) | v245(constB15) | (~v241(constB15)))),
% 80.20/52.12 inference(quant_inst,[status(thm)],[])).
% 80.20/52.12 tff(32358,plain,
% 80.20/52.12 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB15) | v245(constB15) | (~v241(constB15))),
% 80.20/52.12 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 80.20/52.12 tff(32359,plain,
% 80.20/52.12 (v245(constB15) | (~v241(constB15))),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32358, 11708, 32355])).
% 80.20/52.12 tff(32360,plain,
% 80.20/52.12 (~v241(constB15)),
% 80.20/52.12 inference(unit_resolution,[status(thm)],[32359, 32083])).
% 80.20/52.12 tff(32361,plain,
% 80.20/52.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB15, constB16)) | v241(constB15) | (~v243(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB15, constB16)) | v241(constB15) | (~v243(constB16)))),
% 80.20/52.12 inference(rewrite,[status(thm)],[])).
% 80.20/52.12 tff(32362,plain,
% 80.20/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB15, constB16)) | v241(constB15) | (~v243(constB16)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32363,plain,
% 80.29/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB15, constB16)) | v241(constB15) | (~v243(constB16))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 80.29/52.12 tff(32364,plain,
% 80.29/52.12 (v241(constB15) | (~v243(constB16))),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32363, 11723, 2482])).
% 80.29/52.12 tff(32365,plain,
% 80.29/52.12 (~v243(constB16)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32364, 32360])).
% 80.29/52.12 tff(32366,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB16) | (~v244(constB16)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB16) | (~v244(constB16)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32367,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB16) | (~v244(constB16)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32368,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB16) | (~v244(constB16))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 80.29/52.12 tff(32369,plain,
% 80.29/52.12 (~v244(constB16)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32368, 11735, 32365])).
% 80.29/52.12 tff(32370,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB16) | (~v247(constB16)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB16) | (~v247(constB16)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32371,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB16) | (~v247(constB16)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32372,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB16) | (~v247(constB16))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32371, 32370])).
% 80.29/52.12 tff(32373,plain,
% 80.29/52.12 (~v247(constB16)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32372, 11746, 31597])).
% 80.29/52.12 tff(32374,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB16) | (~v246(constB16)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB16) | (~v246(constB16)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32375,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB16) | (~v246(constB16)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32376,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB16) | (~v246(constB16))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 80.29/52.12 tff(32377,plain,
% 80.29/52.12 (~v246(constB16)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32376, 11757, 32373])).
% 80.29/52.12 tff(32378,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB16) | (~v245(constB16)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB16) | (~v245(constB16)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32379,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB16) | (~v245(constB16)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32380,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB16) | (~v245(constB16))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32379, 32378])).
% 80.29/52.12 tff(32381,plain,
% 80.29/52.12 (~v245(constB16)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32380, 11768, 32377])).
% 80.29/52.12 tff(32382,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB16) | v245(constB16) | (~v241(constB16)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB16) | v245(constB16) | (~v241(constB16)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32383,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB16) | v245(constB16) | (~v241(constB16)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32384,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB16) | v245(constB16) | (~v241(constB16))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32383, 32382])).
% 80.29/52.12 tff(32385,plain,
% 80.29/52.12 (v244(constB16) | (~v241(constB16))),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32384, 11708, 32381])).
% 80.29/52.12 tff(32386,plain,
% 80.29/52.12 (~v241(constB16)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32385, 32369])).
% 80.29/52.12 tff(32387,plain,
% 80.29/52.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB16, constB17)) | v241(constB16) | (~v243(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB16, constB17)) | v241(constB16) | (~v243(constB17)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32388,plain,
% 80.29/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB16, constB17)) | v241(constB16) | (~v243(constB17)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32389,plain,
% 80.29/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB16, constB17)) | v241(constB16) | (~v243(constB17))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 80.29/52.12 tff(32390,plain,
% 80.29/52.12 (v241(constB16) | (~v243(constB17))),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32389, 11723, 2547])).
% 80.29/52.12 tff(32391,plain,
% 80.29/52.12 (~v243(constB17)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32390, 32386])).
% 80.29/52.12 tff(32392,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB17) | (~v302(constB17)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB17) | (~v302(constB17)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32393,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB17) | (~v302(constB17)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32394,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB17) | (~v302(constB17))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32393, 32392])).
% 80.29/52.12 tff(32395,plain,
% 80.29/52.12 (~v302(constB17)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32394, 11789, 32391])).
% 80.29/52.12 tff(32396,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB17) | v302(constB17) | v290(constB17))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB17) | v302(constB17) | v290(constB17))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32397,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB17) | v302(constB17) | v290(constB17))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32398,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB17) | v302(constB17) | v290(constB17)),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32397, 32396])).
% 80.29/52.12 tff(32399,plain,
% 80.29/52.12 (v292(constB17) | v290(constB17)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32398, 11803, 32395])).
% 80.29/52.12 tff(32400,plain,
% 80.29/52.12 (v290(constB17)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32399, 32079])).
% 80.29/52.12 tff(32401,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB15) | (~v270(constB15)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB15) | (~v270(constB15)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32402,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB15) | (~v270(constB15)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32403,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB15) | (~v270(constB15))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32402, 32401])).
% 80.29/52.12 tff(32404,plain,
% 80.29/52.12 (~v270(constB15)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32403, 12291, 31572])).
% 80.29/52.12 tff(32405,plain,
% 80.29/52.12 (((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB7)) | (~v228(constB7)))) <=> ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB7)) | (~v228(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32406,plain,
% 80.29/52.12 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB7)) | (~v228(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32407,plain,
% 80.29/52.12 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB7)) | (~v228(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32406, 32405])).
% 80.29/52.12 tff(32408,plain,
% 80.29/52.12 (~v148(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32407, 29924, 32110])).
% 80.29/52.12 tff(32409,plain,
% 80.29/52.12 (((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB7) | (~v226(constB7)) | (~v86(constB7)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB7) | (~v226(constB7)) | (~v86(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32410,plain,
% 80.29/52.12 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB7) | (~v226(constB7)) | (~v86(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32411,plain,
% 80.29/52.12 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB7) | (~v226(constB7)) | (~v86(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32410, 32409])).
% 80.29/52.12 tff(32412,plain,
% 80.29/52.12 (~v86(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32411, 20266, 32118, 32408])).
% 80.29/52.12 tff(32413,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB7) | (~v217(constB7)))) <=> ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB7) | (~v217(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32414,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB7) | (~v217(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32415,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB7) | (~v217(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32414, 32413])).
% 80.29/52.12 tff(32416,plain,
% 80.29/52.12 (~v217(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32415, 20278, 32412])).
% 80.29/52.12 tff(32417,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB7) | (~v216(constB7)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB7) | (~v216(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32418,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB7) | (~v216(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32419,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB7) | (~v216(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32418, 32417])).
% 80.29/52.12 tff(32420,plain,
% 80.29/52.12 (~v216(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32419, 11256, 32416])).
% 80.29/52.12 tff(32421,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB7) | (~v215(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB7) | (~v215(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32422,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB7) | (~v215(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32423,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB7) | (~v215(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 80.29/52.12 tff(32424,plain,
% 80.29/52.12 (~v215(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32423, 11267, 32420])).
% 80.29/52.12 tff(32425,plain,
% 80.29/52.12 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB7)) | (~v214(constB7)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB7)) | (~v214(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32426,plain,
% 80.29/52.12 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB7)) | (~v214(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32427,plain,
% 80.29/52.12 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB7)) | (~v214(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 80.29/52.12 tff(32428,plain,
% 80.29/52.12 (~v214(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32427, 11189, 32183])).
% 80.29/52.12 tff(32429,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB7) | v215(constB7) | (~v211(constB7)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB7) | v215(constB7) | (~v211(constB7)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32430,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB7) | v215(constB7) | (~v211(constB7)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32431,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB7) | v215(constB7) | (~v211(constB7))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 80.29/52.12 tff(32432,plain,
% 80.29/52.12 (v215(constB7) | (~v211(constB7))),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32431, 11203, 32428])).
% 80.29/52.12 tff(32433,plain,
% 80.29/52.12 (~v211(constB7)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32432, 32424])).
% 80.29/52.12 tff(32434,plain,
% 80.29/52.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB7, constB8)) | v211(constB7) | (~v213(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB7, constB8)) | v211(constB7) | (~v213(constB8)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32435,plain,
% 80.29/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB7, constB8)) | v211(constB7) | (~v213(constB8)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32436,plain,
% 80.29/52.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB7, constB8)) | v211(constB7) | (~v213(constB8))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32435, 32434])).
% 80.29/52.12 tff(32437,plain,
% 80.29/52.12 (v211(constB7) | (~v213(constB8))),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32436, 11218, 1439])).
% 80.29/52.12 tff(32438,plain,
% 80.29/52.12 (~v213(constB8)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32437, 32433])).
% 80.29/52.12 tff(32439,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB8) | (~v214(constB8)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB8) | (~v214(constB8)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32440,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB8) | (~v214(constB8)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32441,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB8) | (~v214(constB8))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32440, 32439])).
% 80.29/52.12 tff(32442,plain,
% 80.29/52.12 (~v214(constB8)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32441, 11230, 32438])).
% 80.29/52.12 tff(32443,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB8) | (~v217(constB8)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB8) | (~v217(constB8)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32444,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB8) | (~v217(constB8)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32445,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB8) | (~v217(constB8))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32444, 32443])).
% 80.29/52.12 tff(32446,plain,
% 80.29/52.12 (~v217(constB8)),
% 80.29/52.12 inference(unit_resolution,[status(thm)],[32445, 11245, 32205])).
% 80.29/52.12 tff(32447,plain,
% 80.29/52.12 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB8) | (~v216(constB8)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB8) | (~v216(constB8)))),
% 80.29/52.12 inference(rewrite,[status(thm)],[])).
% 80.29/52.12 tff(32448,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB8) | (~v216(constB8)))),
% 80.29/52.12 inference(quant_inst,[status(thm)],[])).
% 80.29/52.12 tff(32449,plain,
% 80.29/52.12 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB8) | (~v216(constB8))),
% 80.29/52.12 inference(modus_ponens,[status(thm)],[32448, 32447])).
% 80.29/52.12 tff(32450,plain,
% 80.29/52.12 (~v216(constB8)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32449, 11256, 32446])).
% 80.29/52.13 tff(32451,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB8) | (~v215(constB8)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB8) | (~v215(constB8)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32452,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB8) | (~v215(constB8)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32453,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB8) | (~v215(constB8))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32452, 32451])).
% 80.29/52.13 tff(32454,plain,
% 80.29/52.13 (~v215(constB8)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32453, 11267, 32450])).
% 80.29/52.13 tff(32455,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB8) | v215(constB8) | (~v211(constB8)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB8) | v215(constB8) | (~v211(constB8)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32456,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB8) | v215(constB8) | (~v211(constB8)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32457,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB8) | v215(constB8) | (~v211(constB8))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32456, 32455])).
% 80.29/52.13 tff(32458,plain,
% 80.29/52.13 (v214(constB8) | (~v211(constB8))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32457, 11203, 32454])).
% 80.29/52.13 tff(32459,plain,
% 80.29/52.13 (~v211(constB8)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32458, 32442])).
% 80.29/52.13 tff(32460,plain,
% 80.29/52.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB8, constB9)) | v211(constB8) | (~v213(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB8, constB9)) | v211(constB8) | (~v213(constB9)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32461,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB8, constB9)) | v211(constB8) | (~v213(constB9)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32462,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB8, constB9)) | v211(constB8) | (~v213(constB9))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32461, 32460])).
% 80.29/52.13 tff(32463,plain,
% 80.29/52.13 (v211(constB8) | (~v213(constB9))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32462, 11218, 1553])).
% 80.29/52.13 tff(32464,plain,
% 80.29/52.13 (~v213(constB9)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32463, 32459])).
% 80.29/52.13 tff(32465,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB9) | (~v245(constB9)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB9) | (~v245(constB9)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32466,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB9) | (~v245(constB9)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32467,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB9) | (~v245(constB9))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 80.29/52.13 tff(32468,plain,
% 80.29/52.13 (~v245(constB9)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32467, 11683, 32464])).
% 80.29/52.13 tff(32469,plain,
% 80.29/52.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB9)) | (~v244(constB9)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB9)) | (~v244(constB9)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32470,plain,
% 80.29/52.13 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB9)) | (~v244(constB9)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32471,plain,
% 80.29/52.13 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB9)) | (~v244(constB9))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 80.29/52.13 tff(32472,plain,
% 80.29/52.13 (~v244(constB9)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32471, 11694, 31911])).
% 80.29/52.13 tff(32473,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB9) | v245(constB9) | (~v241(constB9)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB9) | v245(constB9) | (~v241(constB9)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32474,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB9) | v245(constB9) | (~v241(constB9)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32475,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB9) | v245(constB9) | (~v241(constB9))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32474, 32473])).
% 80.29/52.13 tff(32476,plain,
% 80.29/52.13 (v245(constB9) | (~v241(constB9))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32475, 11708, 32472])).
% 80.29/52.13 tff(32477,plain,
% 80.29/52.13 (~v241(constB9)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32476, 32468])).
% 80.29/52.13 tff(32478,plain,
% 80.29/52.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB9, constB10)) | v241(constB9) | (~v243(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB9, constB10)) | v241(constB9) | (~v243(constB10)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32479,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB9, constB10)) | v241(constB9) | (~v243(constB10)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32480,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB9, constB10)) | v241(constB9) | (~v243(constB10))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32479, 32478])).
% 80.29/52.13 tff(32481,plain,
% 80.29/52.13 (v241(constB9) | (~v243(constB10))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32480, 11723, 1721])).
% 80.29/52.13 tff(32482,plain,
% 80.29/52.13 (~v243(constB10)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32481, 32477])).
% 80.29/52.13 tff(32483,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB10) | (~v244(constB10)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB10) | (~v244(constB10)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32484,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB10) | (~v244(constB10)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32485,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB10) | (~v244(constB10))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 80.29/52.13 tff(32486,plain,
% 80.29/52.13 (~v244(constB10)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32485, 11735, 32482])).
% 80.29/52.13 tff(32487,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB10) | (~v247(constB10)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB10) | (~v247(constB10)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32488,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB10) | (~v247(constB10)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32489,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB10) | (~v247(constB10))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 80.29/52.13 tff(32490,plain,
% 80.29/52.13 (~v247(constB10)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32489, 11746, 31936])).
% 80.29/52.13 tff(32491,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB10) | (~v246(constB10)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB10) | (~v246(constB10)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32492,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB10) | (~v246(constB10)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32493,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB10) | (~v246(constB10))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 80.29/52.13 tff(32494,plain,
% 80.29/52.13 (~v246(constB10)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32493, 11757, 32490])).
% 80.29/52.13 tff(32495,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB10) | (~v245(constB10)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB10) | (~v245(constB10)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32496,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB10) | (~v245(constB10)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32497,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB10) | (~v245(constB10))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 80.29/52.13 tff(32498,plain,
% 80.29/52.13 (~v245(constB10)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32497, 11768, 32494])).
% 80.29/52.13 tff(32499,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB10) | v245(constB10) | (~v241(constB10)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB10) | v245(constB10) | (~v241(constB10)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32500,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB10) | v245(constB10) | (~v241(constB10)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32501,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB10) | v245(constB10) | (~v241(constB10))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32500, 32499])).
% 80.29/52.13 tff(32502,plain,
% 80.29/52.13 (v244(constB10) | (~v241(constB10))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32501, 11708, 32498])).
% 80.29/52.13 tff(32503,plain,
% 80.29/52.13 (~v241(constB10)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32502, 32486])).
% 80.29/52.13 tff(32504,plain,
% 80.29/52.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB10, constB11)) | v241(constB10) | (~v243(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB10, constB11)) | v241(constB10) | (~v243(constB11)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32505,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB10, constB11)) | v241(constB10) | (~v243(constB11)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32506,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB10, constB11)) | v241(constB10) | (~v243(constB11))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 80.29/52.13 tff(32507,plain,
% 80.29/52.13 (v241(constB10) | (~v243(constB11))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32506, 11723, 1796])).
% 80.29/52.13 tff(32508,plain,
% 80.29/52.13 (~v243(constB11)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32507, 32503])).
% 80.29/52.13 tff(32509,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB11) | (~v244(constB11)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB11) | (~v244(constB11)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32510,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB11) | (~v244(constB11)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32511,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB11) | (~v244(constB11))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32510, 32509])).
% 80.29/52.13 tff(32512,plain,
% 80.29/52.13 (~v244(constB11)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32511, 11735, 32508])).
% 80.29/52.13 tff(32513,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB11) | (~v245(constB11)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB11) | (~v245(constB11)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32514,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB11) | (~v245(constB11)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32515,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB11) | (~v245(constB11))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32514, 32513])).
% 80.29/52.13 tff(32516,plain,
% 80.29/52.13 (~v245(constB11)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32515, 11683, 32267])).
% 80.29/52.13 tff(32517,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB11) | v245(constB11) | (~v241(constB11)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB11) | v245(constB11) | (~v241(constB11)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32518,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB11) | v245(constB11) | (~v241(constB11)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32519,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB11) | v245(constB11) | (~v241(constB11))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32518, 32517])).
% 80.29/52.13 tff(32520,plain,
% 80.29/52.13 (v244(constB11) | (~v241(constB11))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32519, 11708, 32516])).
% 80.29/52.13 tff(32521,plain,
% 80.29/52.13 (~v241(constB11)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32520, 32512])).
% 80.29/52.13 tff(32522,plain,
% 80.29/52.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB11, constB12)) | v241(constB11) | (~v243(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB11, constB12)) | v241(constB11) | (~v243(constB12)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32523,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB11, constB12)) | v241(constB11) | (~v243(constB12)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32524,plain,
% 80.29/52.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB11, constB12)) | v241(constB11) | (~v243(constB12))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32523, 32522])).
% 80.29/52.13 tff(32525,plain,
% 80.29/52.13 (v241(constB11) | (~v243(constB12))),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32524, 11723, 1978])).
% 80.29/52.13 tff(32526,plain,
% 80.29/52.13 (~v243(constB12)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32525, 32521])).
% 80.29/52.13 tff(32527,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB12) | (~v244(constB12)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB12) | (~v244(constB12)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32528,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB12) | (~v244(constB12)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32529,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB12) | (~v244(constB12))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32528, 32527])).
% 80.29/52.13 tff(32530,plain,
% 80.29/52.13 (~v244(constB12)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32529, 11735, 32526])).
% 80.29/52.13 tff(32531,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB12) | (~v247(constB12)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB12) | (~v247(constB12)))),
% 80.29/52.13 inference(rewrite,[status(thm)],[])).
% 80.29/52.13 tff(32532,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB12) | (~v247(constB12)))),
% 80.29/52.13 inference(quant_inst,[status(thm)],[])).
% 80.29/52.13 tff(32533,plain,
% 80.29/52.13 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB12) | (~v247(constB12))),
% 80.29/52.13 inference(modus_ponens,[status(thm)],[32532, 32531])).
% 80.29/52.13 tff(32534,plain,
% 80.29/52.13 (~v247(constB12)),
% 80.29/52.13 inference(unit_resolution,[status(thm)],[32533, 11746, 31976])).
% 80.29/52.13 tff(32535,plain,
% 80.29/52.13 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB12) | (~v246(constB12)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB12) | (~v246(constB12)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32536,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB12) | (~v246(constB12)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32537,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB12) | (~v246(constB12))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32536, 32535])).
% 80.29/52.14 tff(32538,plain,
% 80.29/52.14 (~v246(constB12)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32537, 11757, 32534])).
% 80.29/52.14 tff(32539,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB12) | (~v245(constB12)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB12) | (~v245(constB12)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32540,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB12) | (~v245(constB12)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32541,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB12) | (~v245(constB12))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32540, 32539])).
% 80.29/52.14 tff(32542,plain,
% 80.29/52.14 (~v245(constB12)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32541, 11768, 32538])).
% 80.29/52.14 tff(32543,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB12) | v245(constB12) | (~v241(constB12)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB12) | v245(constB12) | (~v241(constB12)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32544,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB12) | v245(constB12) | (~v241(constB12)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32545,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB12) | v245(constB12) | (~v241(constB12))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32544, 32543])).
% 80.29/52.14 tff(32546,plain,
% 80.29/52.14 (v244(constB12) | (~v241(constB12))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32545, 11708, 32542])).
% 80.29/52.14 tff(32547,plain,
% 80.29/52.14 (~v241(constB12)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32546, 32530])).
% 80.29/52.14 tff(32548,plain,
% 80.29/52.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB12, constB13)) | v241(constB12) | (~v243(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB12, constB13)) | v241(constB12) | (~v243(constB13)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32549,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB12, constB13)) | v241(constB12) | (~v243(constB13)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32550,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB12, constB13)) | v241(constB12) | (~v243(constB13))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32549, 32548])).
% 80.29/52.14 tff(32551,plain,
% 80.29/52.14 (v241(constB12) | (~v243(constB13))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32550, 11723, 44])).
% 80.29/52.14 tff(32552,plain,
% 80.29/52.14 (~v243(constB13)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32551, 32547])).
% 80.29/52.14 tff(32553,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB13) | (~v260(constB13)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB13) | (~v260(constB13)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32554,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB13) | (~v260(constB13)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32555,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB13) | (~v260(constB13))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32554, 32553])).
% 80.29/52.14 tff(32556,plain,
% 80.29/52.14 (~v260(constB13)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32555, 12130, 32552])).
% 80.29/52.14 tff(32557,plain,
% 80.29/52.14 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB13)) | (~v259(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB13)) | (~v259(constB13)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32558,plain,
% 80.29/52.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB13)) | (~v259(constB13)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32559,plain,
% 80.29/52.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB13)) | (~v259(constB13))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32558, 32557])).
% 80.29/52.14 tff(32560,plain,
% 80.29/52.14 (~v259(constB13)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32559, 12141, 31522])).
% 80.29/52.14 tff(32561,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB13) | v260(constB13) | (~v256(constB13)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB13) | v260(constB13) | (~v256(constB13)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32562,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB13) | v260(constB13) | (~v256(constB13)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32563,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB13) | v260(constB13) | (~v256(constB13))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32562, 32561])).
% 80.29/52.14 tff(32564,plain,
% 80.29/52.14 (v260(constB13) | (~v256(constB13))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32563, 12155, 32560])).
% 80.29/52.14 tff(32565,plain,
% 80.29/52.14 (~v256(constB13)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32564, 32556])).
% 80.29/52.14 tff(32566,plain,
% 80.29/52.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB13, constB14)) | v256(constB13) | (~v258(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB13, constB14)) | v256(constB13) | (~v258(constB14)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32567,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB13, constB14)) | v256(constB13) | (~v258(constB14)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32568,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB13, constB14)) | v256(constB13) | (~v258(constB14))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32567, 32566])).
% 80.29/52.14 tff(32569,plain,
% 80.29/52.14 (v256(constB13) | (~v258(constB14))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32568, 12170, 119])).
% 80.29/52.14 tff(32570,plain,
% 80.29/52.14 (~v258(constB14)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32569, 32565])).
% 80.29/52.14 tff(32571,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB14) | (~v259(constB14)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB14) | (~v259(constB14)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32572,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB14) | (~v259(constB14)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32573,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB14) | (~v259(constB14))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32572, 32571])).
% 80.29/52.14 tff(32574,plain,
% 80.29/52.14 (~v259(constB14)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32573, 12182, 32570])).
% 80.29/52.14 tff(32575,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB14) | (~v260(constB14)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB14) | (~v260(constB14)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32576,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB14) | (~v260(constB14)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32577,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB14) | (~v260(constB14))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32576, 32575])).
% 80.29/52.14 tff(32578,plain,
% 80.29/52.14 (~v260(constB14)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32577, 12215, 31555])).
% 80.29/52.14 tff(32579,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB14) | v260(constB14) | (~v256(constB14)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB14) | v260(constB14) | (~v256(constB14)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32580,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB14) | v260(constB14) | (~v256(constB14)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32581,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB14) | v260(constB14) | (~v256(constB14))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32580, 32579])).
% 80.29/52.14 tff(32582,plain,
% 80.29/52.14 (v259(constB14) | (~v256(constB14))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32581, 12155, 32578])).
% 80.29/52.14 tff(32583,plain,
% 80.29/52.14 (~v256(constB14)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32582, 32574])).
% 80.29/52.14 tff(32584,plain,
% 80.29/52.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB14, constB15)) | v256(constB14) | (~v258(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB14, constB15)) | v256(constB14) | (~v258(constB15)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32585,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB14, constB15)) | v256(constB14) | (~v258(constB15)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32586,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB14, constB15)) | v256(constB14) | (~v258(constB15))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32585, 32584])).
% 80.29/52.14 tff(32587,plain,
% 80.29/52.14 (v256(constB14) | (~v258(constB15))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32586, 12170, 2324])).
% 80.29/52.14 tff(32588,plain,
% 80.29/52.14 (~v258(constB15)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32587, 32583])).
% 80.29/52.14 tff(32589,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB15) | (~v271(constB15)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB15) | (~v271(constB15)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32590,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB15) | (~v271(constB15)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32591,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB15) | (~v271(constB15))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 80.29/52.14 tff(32592,plain,
% 80.29/52.14 (~v271(constB15)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32591, 12236, 32588])).
% 80.29/52.14 tff(32593,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB15)) | v270(constB15) | v271(constB15))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB15)) | v270(constB15) | v271(constB15))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32594,plain,
% 80.29/52.14 ((v271(constB15) | v270(constB15) | (~v267(constB15))) <=> ((~v267(constB15)) | v270(constB15) | v271(constB15))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32595,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB15) | v270(constB15) | (~v267(constB15)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB15)) | v270(constB15) | v271(constB15)))),
% 80.29/52.14 inference(monotonicity,[status(thm)],[32594])).
% 80.29/52.14 tff(32596,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB15) | v270(constB15) | (~v267(constB15)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB15)) | v270(constB15) | v271(constB15))),
% 80.29/52.14 inference(transitivity,[status(thm)],[32595, 32593])).
% 80.29/52.14 tff(32597,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB15) | v270(constB15) | (~v267(constB15)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32598,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB15)) | v270(constB15) | v271(constB15)),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32597, 32596])).
% 80.29/52.14 tff(32599,plain,
% 80.29/52.14 ((~v267(constB15)) | v270(constB15)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32598, 12261, 32592])).
% 80.29/52.14 tff(32600,plain,
% 80.29/52.14 (~v267(constB15)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32599, 32404])).
% 80.29/52.14 tff(32601,plain,
% 80.29/52.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB15, constB16)) | v267(constB15) | (~v269(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB15, constB16)) | v267(constB15) | (~v269(constB16)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32602,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB15, constB16)) | v267(constB15) | (~v269(constB16)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32603,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB15, constB16)) | v267(constB15) | (~v269(constB16))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32602, 32601])).
% 80.29/52.14 tff(32604,plain,
% 80.29/52.14 (v267(constB15) | (~v269(constB16))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32603, 12279, 2482])).
% 80.29/52.14 tff(32605,plain,
% 80.29/52.14 (~v269(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32604, 32600])).
% 80.29/52.14 tff(32606,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB16) | (~v270(constB16)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB16) | (~v270(constB16)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32607,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB16) | (~v270(constB16)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32608,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB16) | (~v270(constB16))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32607, 32606])).
% 80.29/52.14 tff(32609,plain,
% 80.29/52.14 (~v270(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32608, 12291, 32605])).
% 80.29/52.14 tff(32610,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB16) | (~v262(constB16)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB16) | (~v262(constB16)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32611,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB16) | (~v262(constB16)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32612,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB16) | (~v262(constB16))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32611, 32610])).
% 80.29/52.14 tff(32613,plain,
% 80.29/52.14 (~v262(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32612, 12193, 31597])).
% 80.29/52.14 tff(32614,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB16) | (~v261(constB16)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB16) | (~v261(constB16)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32615,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB16) | (~v261(constB16)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32616,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB16) | (~v261(constB16))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32615, 32614])).
% 80.29/52.14 tff(32617,plain,
% 80.29/52.14 (~v261(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32616, 12204, 32613])).
% 80.29/52.14 tff(32618,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB16) | (~v271(constB16)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB16) | (~v271(constB16)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32619,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB16) | (~v271(constB16)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32620,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB16) | (~v271(constB16))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32619, 32618])).
% 80.29/52.14 tff(32621,plain,
% 80.29/52.14 (~v271(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32620, 12310, 32617])).
% 80.29/52.14 tff(32622,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB16)) | v271(constB16) | v270(constB16))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB16)) | v271(constB16) | v270(constB16))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32623,plain,
% 80.29/52.14 ((v271(constB16) | v270(constB16) | (~v267(constB16))) <=> ((~v267(constB16)) | v271(constB16) | v270(constB16))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32624,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB16) | v270(constB16) | (~v267(constB16)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB16)) | v271(constB16) | v270(constB16)))),
% 80.29/52.14 inference(monotonicity,[status(thm)],[32623])).
% 80.29/52.14 tff(32625,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB16) | v270(constB16) | (~v267(constB16)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB16)) | v271(constB16) | v270(constB16))),
% 80.29/52.14 inference(transitivity,[status(thm)],[32624, 32622])).
% 80.29/52.14 tff(32626,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB16) | v270(constB16) | (~v267(constB16)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32627,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB16)) | v271(constB16) | v270(constB16)),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 80.29/52.14 tff(32628,plain,
% 80.29/52.14 ((~v267(constB16)) | v270(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32627, 12261, 32621])).
% 80.29/52.14 tff(32629,plain,
% 80.29/52.14 (~v267(constB16)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32628, 32609])).
% 80.29/52.14 tff(32630,plain,
% 80.29/52.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB16, constB17)) | v267(constB16) | (~v269(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB16, constB17)) | v267(constB16) | (~v269(constB17)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32631,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB16, constB17)) | v267(constB16) | (~v269(constB17)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32632,plain,
% 80.29/52.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB16, constB17)) | v267(constB16) | (~v269(constB17))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32631, 32630])).
% 80.29/52.14 tff(32633,plain,
% 80.29/52.14 (v267(constB16) | (~v269(constB17))),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32632, 12279, 2547])).
% 80.29/52.14 tff(32634,plain,
% 80.29/52.14 (~v269(constB17)),
% 80.29/52.14 inference(unit_resolution,[status(thm)],[32633, 32629])).
% 80.29/52.14 tff(32635,plain,
% 80.29/52.14 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB17) | (~v307(constB17)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB17) | (~v307(constB17)))),
% 80.29/52.14 inference(rewrite,[status(thm)],[])).
% 80.29/52.14 tff(32636,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB17) | (~v307(constB17)))),
% 80.29/52.14 inference(quant_inst,[status(thm)],[])).
% 80.29/52.14 tff(32637,plain,
% 80.29/52.14 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB17) | (~v307(constB17))),
% 80.29/52.14 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 80.29/52.15 tff(32638,plain,
% 80.29/52.15 (~v307(constB17)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32637, 20510, 32634])).
% 80.29/52.15 tff(32639,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB17) | (~v290(constB17)) | v289(constB17))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB17) | (~v290(constB17)) | v289(constB17))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32640,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB17) | (~v290(constB17)) | v289(constB17))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32641,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB17) | (~v290(constB17)) | v289(constB17)),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32640, 32639])).
% 80.29/52.15 tff(32642,plain,
% 80.29/52.15 ((~v290(constB17)) | v289(constB17)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32641, 11821, 32638])).
% 80.29/52.15 tff(32643,plain,
% 80.29/52.15 (v289(constB17)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32642, 32400])).
% 80.29/52.15 tff(32644,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB17) | (~v289(constB17)) | v288(constB17))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB17) | (~v289(constB17)) | v288(constB17))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32645,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB17) | (~v289(constB17)) | v288(constB17))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32646,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v309(constB17) | (~v289(constB17)) | v288(constB17)),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32645, 32644])).
% 80.29/52.15 tff(32647,plain,
% 80.29/52.15 (v309(constB17) | v288(constB17)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32646, 12438, 32643])).
% 80.29/52.15 tff(32648,plain,
% 80.29/52.15 (v288(constB17)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32647, 31626])).
% 80.29/52.15 tff(32649,plain,
% 80.29/52.15 ($false),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32648, 31397])).
% 80.29/52.15 tff(32650,plain,((~(constB17 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.29/52.15 tff(32651,plain,
% 80.29/52.15 (~(constB17 = sK0_VarCurr)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32650, 1])).
% 80.29/52.15 tff(32652,assumption,(constB93 = sK0_VarCurr), introduced(assumption)).
% 80.29/52.15 tff(32653,plain,
% 80.29/52.15 (v288(constB93) <=> v288(sK0_VarCurr)),
% 80.29/52.15 inference(monotonicity,[status(thm)],[32652])).
% 80.29/52.15 tff(32654,plain,
% 80.29/52.15 (v288(sK0_VarCurr) <=> v288(constB93)),
% 80.29/52.15 inference(symmetry,[status(thm)],[32653])).
% 80.29/52.15 tff(32655,plain,
% 80.29/52.15 ((~v288(sK0_VarCurr)) <=> (~v288(constB93))),
% 80.29/52.15 inference(monotonicity,[status(thm)],[32654])).
% 80.29/52.15 tff(32656,plain,
% 80.29/52.15 (~v288(constB93)),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[1, 32655])).
% 80.29/52.15 tff(32657,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v229(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | v140(constB93) | v139(constB93) | (~v229(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32658,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v229(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32659,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | v140(constB93) | v139(constB93) | (~v229(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 80.29/52.15 tff(32660,plain,
% 80.29/52.15 (~v229(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32659, 20206, 10897, 10886])).
% 80.29/52.15 tff(32661,plain,
% 80.29/52.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v141(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v141(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32662,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v141(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32663,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v141(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32662, 32661])).
% 80.29/52.15 tff(32664,plain,
% 80.29/52.15 (~v141(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32663, 20220, 10875])).
% 80.29/52.15 tff(32665,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB93) | v229(constB93) | (~v228(constB93)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB93) | v229(constB93) | (~v228(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32666,plain,
% 80.29/52.15 ((v141(constB93) | (~v228(constB93)) | v229(constB93)) <=> (v141(constB93) | v229(constB93) | (~v228(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32667,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB93) | (~v228(constB93)) | v229(constB93))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB93) | v229(constB93) | (~v228(constB93))))),
% 80.29/52.15 inference(monotonicity,[status(thm)],[32666])).
% 80.29/52.15 tff(32668,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB93) | (~v228(constB93)) | v229(constB93))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB93) | v229(constB93) | (~v228(constB93)))),
% 80.29/52.15 inference(transitivity,[status(thm)],[32667, 32665])).
% 80.29/52.15 tff(32669,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB93) | (~v228(constB93)) | v229(constB93))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32670,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB93) | v229(constB93) | (~v228(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32669, 32668])).
% 80.29/52.15 tff(32671,plain,
% 80.29/52.15 (v229(constB93) | (~v228(constB93))),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32670, 20234, 32664])).
% 80.29/52.15 tff(32672,plain,
% 80.29/52.15 (~v228(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32671, 32660])).
% 80.29/52.15 tff(32673,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB93, bitIndex1) | (~v144(constB93)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB93, bitIndex1) | (~v144(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32674,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB93, bitIndex1) | (~v144(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32675,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB93, bitIndex1) | (~v144(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32674, 32673])).
% 80.29/52.15 tff(32676,plain,
% 80.29/52.15 (~v144(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32675, 20155, 10922])).
% 80.29/52.15 tff(32677,plain,
% 80.29/52.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v143(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v143(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32678,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v143(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32679,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v143(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32678, 32677])).
% 80.29/52.15 tff(32680,plain,
% 80.29/52.15 (~v143(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32679, 20169, 10875])).
% 80.29/52.15 tff(32681,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB93) | v144(constB93) | (~v142(constB93)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB93) | v144(constB93) | (~v142(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32682,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB93) | v144(constB93) | (~v142(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32683,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB93) | v144(constB93) | (~v142(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32682, 32681])).
% 80.29/52.15 tff(32684,plain,
% 80.29/52.15 (~v142(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32683, 20183, 32680, 32676])).
% 80.29/52.15 tff(32685,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB93) | v228(constB93) | (~v227(constB93)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB93) | v228(constB93) | (~v227(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32686,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB93) | v228(constB93) | (~v227(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32687,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB93) | v228(constB93) | (~v227(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32686, 32685])).
% 80.29/52.15 tff(32688,plain,
% 80.29/52.15 (~v227(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32687, 30484, 32684, 32672])).
% 80.29/52.15 tff(32689,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB93) | v230(constB93))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | v227(constB93) | v230(constB93))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32690,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB93) | v230(constB93))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32691,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | v227(constB93) | v230(constB93)),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32690, 32689])).
% 80.29/52.15 tff(32692,plain,
% 80.29/52.15 (v230(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32691, 30498, 32688])).
% 80.29/52.15 tff(32693,plain,
% 80.29/52.15 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB93) | (~v230(constB93)) | (~v226(constB93)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB93) | (~v230(constB93)) | (~v226(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32694,plain,
% 80.29/52.15 (((~v226(constB93)) | (~v230(constB93)) | v223(constB93)) <=> (v223(constB93) | (~v230(constB93)) | (~v226(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32695,plain,
% 80.29/52.15 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB93)) | (~v230(constB93)) | v223(constB93))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB93) | (~v230(constB93)) | (~v226(constB93))))),
% 80.29/52.15 inference(monotonicity,[status(thm)],[32694])).
% 80.29/52.15 tff(32696,plain,
% 80.29/52.15 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB93)) | (~v230(constB93)) | v223(constB93))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB93) | (~v230(constB93)) | (~v226(constB93)))),
% 80.29/52.15 inference(transitivity,[status(thm)],[32695, 32693])).
% 80.29/52.15 tff(32697,plain,
% 80.29/52.15 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB93)) | (~v230(constB93)) | v223(constB93))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32698,plain,
% 80.29/52.15 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB93) | (~v230(constB93)) | (~v226(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 80.29/52.15 tff(32699,plain,
% 80.29/52.15 (v223(constB93) | (~v230(constB93))),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32698, 30528, 10965])).
% 80.29/52.15 tff(32700,plain,
% 80.29/52.15 (v223(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32699, 32692])).
% 80.29/52.15 tff(32701,plain,
% 80.29/52.15 (((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB93)) | (~v304(constB93)))) <=> ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB93)) | (~v304(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32702,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB93)) | (~v304(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32703,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB93)) | (~v304(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 80.29/52.15 tff(32704,plain,
% 80.29/52.15 (~v304(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32703, 30543, 32700])).
% 80.29/52.15 tff(32705,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB93) | (~v303(constB93)))) <=> ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB93) | (~v303(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32706,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB93) | (~v303(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32707,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB93) | (~v303(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32706, 32705])).
% 80.29/52.15 tff(32708,plain,
% 80.29/52.15 (~v303(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32707, 30554, 32704])).
% 80.29/52.15 tff(32709,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB93) | (~v302(constB93)))) <=> ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB93) | (~v302(constB93)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32710,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB93) | (~v302(constB93)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32711,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB93) | (~v302(constB93))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32710, 32709])).
% 80.29/52.15 tff(32712,plain,
% 80.29/52.15 (~v302(constB93)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32711, 30565, 32708])).
% 80.29/52.15 tff(32713,plain,
% 80.29/52.15 (((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB91)) | (~v228(constB91)))) <=> ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB91)) | (~v228(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32714,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | ((~v148(constB91)) | (~v228(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32715,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v148(VarCurr)) | (~v228(VarCurr)))) | (~v148(constB91)) | (~v228(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32714, 32713])).
% 80.29/52.15 tff(32716,plain,
% 80.29/52.15 (~v148(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32715, 29924, 11504])).
% 80.29/52.15 tff(32717,plain,
% 80.29/52.15 (((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB91) | (~v226(constB91)) | (~v86(constB91)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB91) | (~v226(constB91)) | (~v86(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32718,plain,
% 80.29/52.15 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB91) | (~v226(constB91)) | (~v86(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32719,plain,
% 80.29/52.15 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB91) | (~v226(constB91)) | (~v86(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32718, 32717])).
% 80.29/52.15 tff(32720,plain,
% 80.29/52.15 (~v86(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32719, 20266, 11519, 32716])).
% 80.29/52.15 tff(32721,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB91) | (~v217(constB91)))) <=> ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB91) | (~v217(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32722,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB91) | (~v217(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32723,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB91) | (~v217(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32722, 32721])).
% 80.29/52.15 tff(32724,plain,
% 80.29/52.15 (~v217(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32723, 20278, 32720])).
% 80.29/52.15 tff(32725,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB91) | (~v216(constB91)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB91) | (~v216(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32726,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB91) | (~v216(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32727,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB91) | (~v216(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32726, 32725])).
% 80.29/52.15 tff(32728,plain,
% 80.29/52.15 (~v216(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32727, 11256, 32724])).
% 80.29/52.15 tff(32729,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB91) | (~v215(constB91)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB91) | (~v215(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32730,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB91) | (~v215(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32731,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB91) | (~v215(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 80.29/52.15 tff(32732,plain,
% 80.29/52.15 (~v215(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32731, 11267, 32728])).
% 80.29/52.15 tff(32733,plain,
% 80.29/52.15 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB91)) | (~v214(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB91)) | (~v214(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32734,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB91)) | (~v214(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32735,plain,
% 80.29/52.15 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB91)) | (~v214(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32734, 32733])).
% 80.29/52.15 tff(32736,plain,
% 80.29/52.15 (~v214(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32735, 11189, 11589])).
% 80.29/52.15 tff(32737,plain,
% 80.29/52.15 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB91) | v215(constB91) | (~v211(constB91)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB91) | v215(constB91) | (~v211(constB91)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32738,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB91) | v215(constB91) | (~v211(constB91)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32739,plain,
% 80.29/52.15 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB91) | v215(constB91) | (~v211(constB91))),
% 80.29/52.15 inference(modus_ponens,[status(thm)],[32738, 32737])).
% 80.29/52.15 tff(32740,plain,
% 80.29/52.15 (v215(constB91) | (~v211(constB91))),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32739, 11203, 32736])).
% 80.29/52.15 tff(32741,plain,
% 80.29/52.15 (~v211(constB91)),
% 80.29/52.15 inference(unit_resolution,[status(thm)],[32740, 32732])).
% 80.29/52.15 tff(32742,plain,
% 80.29/52.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92)))),
% 80.29/52.15 inference(rewrite,[status(thm)],[])).
% 80.29/52.15 tff(32743,plain,
% 80.29/52.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92)))),
% 80.29/52.15 inference(quant_inst,[status(thm)],[])).
% 80.29/52.15 tff(32744,plain,
% 80.29/52.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32743, 32742])).
% 80.29/52.16 tff(32745,plain,
% 80.29/52.16 (v211(constB91) | (~v213(constB92))),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32744, 11218, 10140])).
% 80.29/52.16 tff(32746,plain,
% 80.29/52.16 (~v213(constB92)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32745, 32741])).
% 80.29/52.16 tff(32747,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB92) | (~v214(constB92)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB92) | (~v214(constB92)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32748,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB92) | (~v214(constB92)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32749,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB92) | (~v214(constB92))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32748, 32747])).
% 80.29/52.16 tff(32750,plain,
% 80.29/52.16 (~v214(constB92)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32749, 11230, 32746])).
% 80.29/52.16 tff(32751,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB92) | (~v217(constB92)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB92) | (~v217(constB92)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32752,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB92) | (~v217(constB92)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32753,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB92) | (~v217(constB92))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 80.29/52.16 tff(32754,plain,
% 80.29/52.16 (~v217(constB92)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32753, 11245, 11614])).
% 80.29/52.16 tff(32755,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB92) | (~v216(constB92)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB92) | (~v216(constB92)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32756,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB92) | (~v216(constB92)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32757,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB92) | (~v216(constB92))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 80.29/52.16 tff(32758,plain,
% 80.29/52.16 (~v216(constB92)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32757, 11256, 32754])).
% 80.29/52.16 tff(32759,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB92) | (~v215(constB92)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB92) | (~v215(constB92)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32760,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB92) | (~v215(constB92)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32761,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB92) | (~v215(constB92))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32760, 32759])).
% 80.29/52.16 tff(32762,plain,
% 80.29/52.16 (~v215(constB92)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32761, 11267, 32758])).
% 80.29/52.16 tff(32763,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB92) | v215(constB92) | (~v211(constB92)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB92) | v215(constB92) | (~v211(constB92)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32764,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB92) | v215(constB92) | (~v211(constB92)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32765,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB92) | v215(constB92) | (~v211(constB92))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32764, 32763])).
% 80.29/52.16 tff(32766,plain,
% 80.29/52.16 (v214(constB92) | (~v211(constB92))),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32765, 11203, 32762])).
% 80.29/52.16 tff(32767,plain,
% 80.29/52.16 (~v211(constB92)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32766, 32750])).
% 80.29/52.16 tff(32768,plain,
% 80.29/52.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32769,plain,
% 80.29/52.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32770,plain,
% 80.29/52.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32769, 32768])).
% 80.29/52.16 tff(32771,plain,
% 80.29/52.16 (v211(constB92) | (~v213(constB93))),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32770, 11218, 10206])).
% 80.29/52.16 tff(32772,plain,
% 80.29/52.16 (~v213(constB93)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32771, 32767])).
% 80.29/52.16 tff(32773,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB93) | (~v297(constB93)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB93) | (~v297(constB93)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32774,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB93) | (~v297(constB93)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32775,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB93) | (~v297(constB93))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 80.29/52.16 tff(32776,plain,
% 80.29/52.16 (~v297(constB93)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32775, 11288, 32772])).
% 80.29/52.16 tff(32777,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB93) | (~v293(constB93)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB93) | (~v293(constB93)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32778,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB93) | (~v293(constB93)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32779,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB93) | (~v293(constB93))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32778, 32777])).
% 80.29/52.16 tff(32780,plain,
% 80.29/52.16 (~v293(constB93)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32779, 11437, 11632])).
% 80.29/52.16 tff(32781,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB93) | v297(constB93) | (~v292(constB93)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB93) | v297(constB93) | (~v292(constB93)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32782,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB93) | v297(constB93) | (~v292(constB93)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32783,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB93) | v297(constB93) | (~v292(constB93))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32782, 32781])).
% 80.29/52.16 tff(32784,plain,
% 80.29/52.16 (v297(constB93) | (~v292(constB93))),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32783, 11451, 32780])).
% 80.29/52.16 tff(32785,plain,
% 80.29/52.16 (~v292(constB93)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32784, 32776])).
% 80.29/52.16 tff(32786,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB93) | v302(constB93) | v292(constB93))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB93) | v302(constB93) | v292(constB93))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32787,plain,
% 80.29/52.16 ((v292(constB93) | v302(constB93) | v290(constB93)) <=> (v290(constB93) | v302(constB93) | v292(constB93))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32788,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB93) | v302(constB93) | v290(constB93))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB93) | v302(constB93) | v292(constB93)))),
% 80.29/52.16 inference(monotonicity,[status(thm)],[32787])).
% 80.29/52.16 tff(32789,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB93) | v302(constB93) | v290(constB93))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB93) | v302(constB93) | v292(constB93))),
% 80.29/52.16 inference(transitivity,[status(thm)],[32788, 32786])).
% 80.29/52.16 tff(32790,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB93) | v302(constB93) | v290(constB93))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32791,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB93) | v302(constB93) | v292(constB93)),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32790, 32789])).
% 80.29/52.16 tff(32792,plain,
% 80.29/52.16 (v290(constB93) | v302(constB93)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32791, 11803, 32785])).
% 80.29/52.16 tff(32793,plain,
% 80.29/52.16 (v290(constB93)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32792, 32712])).
% 80.29/52.16 tff(32794,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32795,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32796,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2)),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 80.29/52.16 tff(32797,plain,
% 80.29/52.16 (v88(constB83, bitIndex2)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32796, 10735, 9188])).
% 80.29/52.16 tff(32798,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v140(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v140(constB83)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32799,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v140(constB83)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32800,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v140(constB83))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32799, 32798])).
% 80.29/52.16 tff(32801,plain,
% 80.29/52.16 (~v140(constB83)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32800, 10893, 32797])).
% 80.29/52.16 tff(32802,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32803,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32804,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0)),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32803, 32802])).
% 80.29/52.16 tff(32805,plain,
% 80.29/52.16 (v88(constB83, bitIndex0)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32804, 11313, 9253])).
% 80.29/52.16 tff(32806,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB83)) | (~v88(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB83)) | (~v88(constB83, bitIndex0)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32807,plain,
% 80.29/52.16 (((~v88(constB83, bitIndex0)) | (~v139(constB83))) <=> ((~v139(constB83)) | (~v88(constB83, bitIndex0)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32808,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB83)) | (~v88(constB83, bitIndex0))))),
% 80.29/52.16 inference(monotonicity,[status(thm)],[32807])).
% 80.29/52.16 tff(32809,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB83)) | (~v88(constB83, bitIndex0)))),
% 80.29/52.16 inference(transitivity,[status(thm)],[32808, 32806])).
% 80.29/52.16 tff(32810,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32811,plain,
% 80.29/52.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB83)) | (~v88(constB83, bitIndex0))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 80.29/52.16 tff(32812,plain,
% 80.29/52.16 (~v139(constB83)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32811, 11324, 32805])).
% 80.29/52.16 tff(32813,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB83)) | v140(constB83) | v139(constB83))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB83)) | v140(constB83) | v139(constB83))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32814,plain,
% 80.29/52.16 ((v140(constB83) | v139(constB83) | (~v168(constB83))) <=> ((~v168(constB83)) | v140(constB83) | v139(constB83))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32815,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v168(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | ((~v168(constB83)) | v140(constB83) | v139(constB83)))),
% 80.29/52.16 inference(monotonicity,[status(thm)],[32814])).
% 80.29/52.16 tff(32816,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v168(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB83)) | v140(constB83) | v139(constB83))),
% 80.29/52.16 inference(transitivity,[status(thm)],[32815, 32813])).
% 80.29/52.16 tff(32817,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v168(constB83)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32818,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (~v168(constB83)) | v140(constB83) | v139(constB83)),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32817, 32816])).
% 80.29/52.16 tff(32819,plain,
% 80.29/52.16 (~v168(constB83)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32818, 10907, 32812, 32801])).
% 80.29/52.16 tff(32820,plain,
% 80.29/52.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))),
% 80.29/52.16 inference(rewrite,[status(thm)],[])).
% 80.29/52.16 tff(32821,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))),
% 80.29/52.16 inference(quant_inst,[status(thm)],[])).
% 80.29/52.16 tff(32822,plain,
% 80.29/52.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1))),
% 80.29/52.16 inference(modus_ponens,[status(thm)],[32821, 32820])).
% 80.29/52.16 tff(32823,plain,
% 80.29/52.16 (~v88(constB83, bitIndex1)),
% 80.29/52.16 inference(unit_resolution,[status(thm)],[32822, 10918, 9222])).
% 80.29/52.16 tff(32824,plain,
% 80.29/52.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32825,plain,
% 80.29/52.17 (((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83)) <=> (v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32826,plain,
% 80.29/52.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))))),
% 80.29/52.17 inference(monotonicity,[status(thm)],[32825])).
% 80.29/52.17 tff(32827,plain,
% 80.29/52.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)))),
% 80.29/52.17 inference(transitivity,[status(thm)],[32826, 32824])).
% 80.29/52.17 tff(32828,plain,
% 80.29/52.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32829,plain,
% 80.29/52.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32828, 32827])).
% 80.29/52.17 tff(32830,plain,
% 80.29/52.17 (v147(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32829, 11353, 32805, 32797, 32823])).
% 80.29/52.17 tff(32831,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB83) | (~v147(constB83)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB83) | (~v147(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32832,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB83) | (~v147(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32833,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB83) | (~v147(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32832, 32831])).
% 80.29/52.17 tff(32834,plain,
% 80.29/52.17 (v145(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32833, 11368, 32830])).
% 80.29/52.17 tff(32835,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB83) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB83) | (~v145(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32836,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB83) | (~v145(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32837,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB83) | (~v145(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 80.29/52.17 tff(32838,plain,
% 80.29/52.17 (v226(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32837, 10961, 32834])).
% 80.29/52.17 tff(32839,plain,
% 80.29/52.17 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB83)) | (~v226(constB83)) | v168(constB83))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB83)) | (~v226(constB83)) | v168(constB83))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32840,plain,
% 80.29/52.17 ((v168(constB83) | (~v226(constB83)) | (~v161(constB83))) <=> ((~v161(constB83)) | (~v226(constB83)) | v168(constB83))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32841,plain,
% 80.29/52.17 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB83) | (~v226(constB83)) | (~v161(constB83)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB83)) | (~v226(constB83)) | v168(constB83)))),
% 80.29/52.17 inference(monotonicity,[status(thm)],[32840])).
% 80.29/52.17 tff(32842,plain,
% 80.29/52.17 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB83) | (~v226(constB83)) | (~v161(constB83)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB83)) | (~v226(constB83)) | v168(constB83))),
% 80.29/52.17 inference(transitivity,[status(thm)],[32841, 32839])).
% 80.29/52.17 tff(32843,plain,
% 80.29/52.17 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB83) | (~v226(constB83)) | (~v161(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32844,plain,
% 80.29/52.17 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB83)) | (~v226(constB83)) | v168(constB83)),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32843, 32842])).
% 80.29/52.17 tff(32845,plain,
% 80.29/52.17 (~v161(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32844, 10975, 32838, 32819])).
% 80.29/52.17 tff(32846,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB83) | (~v187(constB83)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB83) | (~v187(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32847,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB83) | (~v187(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32848,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB83) | (~v187(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32847, 32846])).
% 80.29/52.17 tff(32849,plain,
% 80.29/52.17 (~v187(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32848, 10989, 32845])).
% 80.29/52.17 tff(32850,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB83) | (~v185(constB83)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB83) | (~v185(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32851,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB83) | (~v185(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32852,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB83) | (~v185(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 80.29/52.17 tff(32853,plain,
% 80.29/52.17 (~v185(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32852, 11000, 32849])).
% 80.29/52.17 tff(32854,assumption,(v18(constB84)), introduced(assumption)).
% 80.29/52.17 tff(32855,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB84))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32856,plain,
% 80.29/52.17 ($false),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32855, 70, 32854])).
% 80.29/52.17 tff(32857,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 80.29/52.17 tff(32858,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32859,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32860,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32859, 32858])).
% 80.29/52.17 tff(32861,plain,
% 80.29/52.17 (v22(constB84)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32860, 83, 9305])).
% 80.29/52.17 tff(32862,plain,
% 80.29/52.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32863,plain,
% 80.29/52.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32864,plain,
% 80.29/52.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84)),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32863, 32862])).
% 80.29/52.17 tff(32865,plain,
% 80.29/52.17 ((~v19(constB84)) | v18(constB84)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32864, 97, 32861])).
% 80.29/52.17 tff(32866,plain,
% 80.29/52.17 (~v19(constB84)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32865, 32857])).
% 80.29/52.17 tff(32867,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32868,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32869,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32868, 32867])).
% 80.29/52.17 tff(32870,plain,
% 80.29/52.17 (v13(constB84)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32869, 112, 32866])).
% 80.29/52.17 tff(32871,plain,
% 80.29/52.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32872,plain,
% 80.29/52.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32873,plain,
% 80.29/52.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83)),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32872, 32871])).
% 80.29/52.17 tff(32874,plain,
% 80.29/52.17 ((~v13(constB84)) | v9(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32873, 129, 9285])).
% 80.29/52.17 tff(32875,plain,
% 80.29/52.17 (v9(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32874, 32870])).
% 80.29/52.17 tff(32876,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v184(constB83))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB83) | (~v9(constB83)) | v184(constB83))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32877,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v184(constB83))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32878,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB83) | (~v9(constB83)) | v184(constB83)),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32877, 32876])).
% 80.29/52.17 tff(32879,plain,
% 80.29/52.17 ((~v9(constB83)) | v184(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32878, 11036, 9164])).
% 80.29/52.17 tff(32880,plain,
% 80.29/52.17 (v184(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32879, 32875])).
% 80.29/52.17 tff(32881,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB83) | (~v184(constB83)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB83) | (~v184(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32882,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB83) | (~v184(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32883,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB83) | (~v184(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 80.29/52.17 tff(32884,plain,
% 80.29/52.17 (v183(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32883, 11048, 32880])).
% 80.29/52.17 tff(32885,plain,
% 80.29/52.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB83)) | (~v183(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB83)) | (~v183(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32886,plain,
% 80.29/52.17 (((~v183(constB83)) | (~v181(constB83))) <=> ((~v181(constB83)) | (~v183(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32887,plain,
% 80.29/52.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB83)) | (~v181(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB83)) | (~v183(constB83))))),
% 80.29/52.17 inference(monotonicity,[status(thm)],[32886])).
% 80.29/52.17 tff(32888,plain,
% 80.29/52.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB83)) | (~v181(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB83)) | (~v183(constB83)))),
% 80.29/52.17 inference(transitivity,[status(thm)],[32887, 32885])).
% 80.29/52.17 tff(32889,plain,
% 80.29/52.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB83)) | (~v181(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32890,plain,
% 80.29/52.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB83)) | (~v183(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32889, 32888])).
% 80.29/52.17 tff(32891,plain,
% 80.29/52.17 (~v181(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32890, 11059, 32884])).
% 80.29/52.17 tff(32892,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB83) | v185(constB83) | (~v178(constB83)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB83) | v185(constB83) | (~v178(constB83)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32893,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB83) | v185(constB83) | (~v178(constB83)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32894,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB83) | v185(constB83) | (~v178(constB83))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32893, 32892])).
% 80.29/52.17 tff(32895,plain,
% 80.29/52.17 (v185(constB83) | (~v178(constB83))),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32894, 11073, 32891])).
% 80.29/52.17 tff(32896,plain,
% 80.29/52.17 (~v178(constB83)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32895, 32853])).
% 80.29/52.17 tff(32897,plain,
% 80.29/52.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32898,plain,
% 80.29/52.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))),
% 80.29/52.17 inference(quant_inst,[status(thm)],[])).
% 80.29/52.17 tff(32899,plain,
% 80.29/52.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84))),
% 80.29/52.17 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 80.29/52.17 tff(32900,plain,
% 80.29/52.17 (v178(constB83) | (~v180(constB84))),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32899, 11088, 9285])).
% 80.29/52.17 tff(32901,plain,
% 80.29/52.17 (~v180(constB84)),
% 80.29/52.17 inference(unit_resolution,[status(thm)],[32900, 32896])).
% 80.29/52.17 tff(32902,plain,
% 80.29/52.17 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB84) | (~v181(constB84)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB84) | (~v181(constB84)))),
% 80.29/52.17 inference(rewrite,[status(thm)],[])).
% 80.29/52.17 tff(32903,plain,
% 80.29/52.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB84) | (~v181(constB84)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32904,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB84) | (~v181(constB84))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32903, 32902])).
% 80.29/52.18 tff(32905,plain,
% 80.29/52.18 (~v181(constB84)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32904, 11100, 32901])).
% 80.29/52.18 tff(32906,plain,
% 80.29/52.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB84)) | (~v184(constB84)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB84)) | (~v184(constB84)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32907,plain,
% 80.29/52.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB84)) | (~v184(constB84)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32908,plain,
% 80.29/52.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB84)) | (~v184(constB84))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32907, 32906])).
% 80.29/52.18 tff(32909,plain,
% 80.29/52.18 (~v184(constB84)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32908, 11111, 9305])).
% 80.29/52.18 tff(32910,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB84) | (~v187(constB84)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB84) | (~v187(constB84)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32911,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB84) | (~v187(constB84)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32912,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB84) | (~v187(constB84))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 80.29/52.18 tff(32913,plain,
% 80.29/52.18 (~v187(constB84)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32912, 11122, 32909])).
% 80.29/52.18 tff(32914,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB84) | (~v185(constB84)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB84) | (~v185(constB84)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32915,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB84) | (~v185(constB84)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32916,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB84) | (~v185(constB84))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32915, 32914])).
% 80.29/52.18 tff(32917,plain,
% 80.29/52.18 (~v185(constB84)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32916, 11000, 32913])).
% 80.29/52.18 tff(32918,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB84) | v185(constB84) | (~v178(constB84)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB84) | v185(constB84) | (~v178(constB84)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32919,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB84) | v185(constB84) | (~v178(constB84)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32920,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB84) | v185(constB84) | (~v178(constB84))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32919, 32918])).
% 80.29/52.18 tff(32921,plain,
% 80.29/52.18 (v181(constB84) | (~v178(constB84))),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32920, 11073, 32917])).
% 80.29/52.18 tff(32922,plain,
% 80.29/52.18 (~v178(constB84)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32921, 32905])).
% 80.29/52.18 tff(32923,plain,
% 80.29/52.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32924,plain,
% 80.29/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32925,plain,
% 80.29/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 80.29/52.18 tff(32926,plain,
% 80.29/52.18 (v178(constB84) | (~v180(constB85))),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32925, 11088, 9351])).
% 80.29/52.18 tff(32927,plain,
% 80.29/52.18 (~v180(constB85)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32926, 32922])).
% 80.29/52.18 tff(32928,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB85) | (~v215(constB85)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB85) | (~v215(constB85)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32929,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB85) | (~v215(constB85)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32930,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB85) | (~v215(constB85))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32929, 32928])).
% 80.29/52.18 tff(32931,plain,
% 80.29/52.18 (~v215(constB85)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32930, 11147, 32927])).
% 80.29/52.18 tff(32932,plain,
% 80.29/52.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB85)) | (~v214(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB85)) | (~v214(constB85)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32933,plain,
% 80.29/52.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB85)) | (~v214(constB85)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32934,plain,
% 80.29/52.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB85)) | (~v214(constB85))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 80.29/52.18 tff(32935,plain,
% 80.29/52.18 (~v214(constB85)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32934, 11189, 11922])).
% 80.29/52.18 tff(32936,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB85) | v215(constB85) | (~v211(constB85)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB85) | v215(constB85) | (~v211(constB85)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32937,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB85) | v215(constB85) | (~v211(constB85)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32938,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB85) | v215(constB85) | (~v211(constB85))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32937, 32936])).
% 80.29/52.18 tff(32939,plain,
% 80.29/52.18 (v215(constB85) | (~v211(constB85))),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32938, 11203, 32935])).
% 80.29/52.18 tff(32940,plain,
% 80.29/52.18 (~v211(constB85)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32939, 32931])).
% 80.29/52.18 tff(32941,plain,
% 80.29/52.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB85, constB86)) | v211(constB85) | (~v213(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB85, constB86)) | v211(constB85) | (~v213(constB86)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32942,plain,
% 80.29/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB85, constB86)) | v211(constB85) | (~v213(constB86)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32943,plain,
% 80.29/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB85, constB86)) | v211(constB85) | (~v213(constB86))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32942, 32941])).
% 80.29/52.18 tff(32944,plain,
% 80.29/52.18 (v211(constB85) | (~v213(constB86))),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32943, 11218, 9449])).
% 80.29/52.18 tff(32945,plain,
% 80.29/52.18 (~v213(constB86)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32944, 32940])).
% 80.29/52.18 tff(32946,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB86) | (~v214(constB86)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB86) | (~v214(constB86)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32947,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB86) | (~v214(constB86)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32948,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB86) | (~v214(constB86))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32947, 32946])).
% 80.29/52.18 tff(32949,plain,
% 80.29/52.18 (~v214(constB86)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32948, 11230, 32945])).
% 80.29/52.18 tff(32950,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB86) | (~v217(constB86)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB86) | (~v217(constB86)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32951,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB86) | (~v217(constB86)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32952,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB86) | (~v217(constB86))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 80.29/52.18 tff(32953,plain,
% 80.29/52.18 (~v217(constB86)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32952, 11245, 11947])).
% 80.29/52.18 tff(32954,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB86) | (~v216(constB86)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB86) | (~v216(constB86)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32955,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB86) | (~v216(constB86)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32956,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB86) | (~v216(constB86))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32955, 32954])).
% 80.29/52.18 tff(32957,plain,
% 80.29/52.18 (~v216(constB86)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32956, 11256, 32953])).
% 80.29/52.18 tff(32958,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB86) | (~v215(constB86)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB86) | (~v215(constB86)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32959,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB86) | (~v215(constB86)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32960,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB86) | (~v215(constB86))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32959, 32958])).
% 80.29/52.18 tff(32961,plain,
% 80.29/52.18 (~v215(constB86)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32960, 11267, 32957])).
% 80.29/52.18 tff(32962,plain,
% 80.29/52.18 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB86) | v215(constB86) | (~v211(constB86)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB86) | v215(constB86) | (~v211(constB86)))),
% 80.29/52.18 inference(rewrite,[status(thm)],[])).
% 80.29/52.18 tff(32963,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB86) | v215(constB86) | (~v211(constB86)))),
% 80.29/52.18 inference(quant_inst,[status(thm)],[])).
% 80.29/52.18 tff(32964,plain,
% 80.29/52.18 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB86) | v215(constB86) | (~v211(constB86))),
% 80.29/52.18 inference(modus_ponens,[status(thm)],[32963, 32962])).
% 80.29/52.18 tff(32965,plain,
% 80.29/52.18 (v214(constB86) | (~v211(constB86))),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32964, 11203, 32961])).
% 80.29/52.18 tff(32966,plain,
% 80.29/52.18 (~v211(constB86)),
% 80.29/52.18 inference(unit_resolution,[status(thm)],[32965, 32949])).
% 80.29/52.18 tff(32967,plain,
% 80.29/52.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB86, constB87)) | v211(constB86) | (~v213(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB86, constB87)) | v211(constB86) | (~v213(constB87)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32968,plain,
% 80.35/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB86, constB87)) | v211(constB86) | (~v213(constB87)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32969,plain,
% 80.35/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB86, constB87)) | v211(constB86) | (~v213(constB87))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32968, 32967])).
% 80.35/52.18 tff(32970,plain,
% 80.35/52.18 (v211(constB86) | (~v213(constB87))),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32969, 11218, 9627])).
% 80.35/52.18 tff(32971,plain,
% 80.35/52.18 (~v213(constB87)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32970, 32966])).
% 80.35/52.18 tff(32972,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB87) | (~v245(constB87)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB87) | (~v245(constB87)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32973,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB87) | (~v245(constB87)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32974,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB87) | (~v245(constB87))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32973, 32972])).
% 80.35/52.18 tff(32975,plain,
% 80.35/52.18 (~v245(constB87)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32974, 11683, 32971])).
% 80.35/52.18 tff(32976,plain,
% 80.35/52.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB87)) | (~v244(constB87)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB87)) | (~v244(constB87)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32977,plain,
% 80.35/52.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB87)) | (~v244(constB87)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32978,plain,
% 80.35/52.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB87)) | (~v244(constB87))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32977, 32976])).
% 80.35/52.18 tff(32979,plain,
% 80.35/52.18 (~v244(constB87)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32978, 11694, 12000])).
% 80.35/52.18 tff(32980,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB87) | v245(constB87) | (~v241(constB87)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB87) | v245(constB87) | (~v241(constB87)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32981,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB87) | v245(constB87) | (~v241(constB87)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32982,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB87) | v245(constB87) | (~v241(constB87))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32981, 32980])).
% 80.35/52.18 tff(32983,plain,
% 80.35/52.18 (v245(constB87) | (~v241(constB87))),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32982, 11708, 32979])).
% 80.35/52.18 tff(32984,plain,
% 80.35/52.18 (~v241(constB87)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32983, 32975])).
% 80.35/52.18 tff(32985,plain,
% 80.35/52.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB87, constB88)) | v241(constB87) | (~v243(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB87, constB88)) | v241(constB87) | (~v243(constB88)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32986,plain,
% 80.35/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB87, constB88)) | v241(constB87) | (~v243(constB88)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32987,plain,
% 80.35/52.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB87, constB88)) | v241(constB87) | (~v243(constB88))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 80.35/52.18 tff(32988,plain,
% 80.35/52.18 (v241(constB87) | (~v243(constB88))),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32987, 11723, 9742])).
% 80.35/52.18 tff(32989,plain,
% 80.35/52.18 (~v243(constB88)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32988, 32984])).
% 80.35/52.18 tff(32990,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB88) | (~v244(constB88)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB88) | (~v244(constB88)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32991,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB88) | (~v244(constB88)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32992,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB88) | (~v244(constB88))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 80.35/52.18 tff(32993,plain,
% 80.35/52.18 (~v244(constB88)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32992, 11735, 32989])).
% 80.35/52.18 tff(32994,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB88) | (~v247(constB88)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB88) | (~v247(constB88)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32995,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB88) | (~v247(constB88)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(32996,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB88) | (~v247(constB88))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 80.35/52.18 tff(32997,plain,
% 80.35/52.18 (~v247(constB88)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[32996, 11746, 12022])).
% 80.35/52.18 tff(32998,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB88) | (~v246(constB88)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB88) | (~v246(constB88)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(32999,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB88) | (~v246(constB88)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(33000,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB88) | (~v246(constB88))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 80.35/52.18 tff(33001,plain,
% 80.35/52.18 (~v246(constB88)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[33000, 11757, 32997])).
% 80.35/52.18 tff(33002,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB88) | (~v245(constB88)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB88) | (~v245(constB88)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(33003,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB88) | (~v245(constB88)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(33004,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB88) | (~v245(constB88))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[33003, 33002])).
% 80.35/52.18 tff(33005,plain,
% 80.35/52.18 (~v245(constB88)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[33004, 11768, 33001])).
% 80.35/52.18 tff(33006,plain,
% 80.35/52.18 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB88) | v245(constB88) | (~v241(constB88)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB88) | v245(constB88) | (~v241(constB88)))),
% 80.35/52.18 inference(rewrite,[status(thm)],[])).
% 80.35/52.18 tff(33007,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB88) | v245(constB88) | (~v241(constB88)))),
% 80.35/52.18 inference(quant_inst,[status(thm)],[])).
% 80.35/52.18 tff(33008,plain,
% 80.35/52.18 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB88) | v245(constB88) | (~v241(constB88))),
% 80.35/52.18 inference(modus_ponens,[status(thm)],[33007, 33006])).
% 80.35/52.18 tff(33009,plain,
% 80.35/52.18 (v244(constB88) | (~v241(constB88))),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[33008, 11708, 33005])).
% 80.35/52.18 tff(33010,plain,
% 80.35/52.18 (~v241(constB88)),
% 80.35/52.18 inference(unit_resolution,[status(thm)],[33009, 32993])).
% 80.35/52.18 tff(33011,plain,
% 80.35/52.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB88, constB89)) | v241(constB88) | (~v243(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB88, constB89)) | v241(constB88) | (~v243(constB89)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33012,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB88, constB89)) | v241(constB88) | (~v243(constB89)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33013,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB88, constB89)) | v241(constB88) | (~v243(constB89))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33012, 33011])).
% 80.35/52.19 tff(33014,plain,
% 80.35/52.19 (v241(constB88) | (~v243(constB89))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33013, 11723, 9807])).
% 80.35/52.19 tff(33015,plain,
% 80.35/52.19 (~v243(constB89)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33014, 33010])).
% 80.35/52.19 tff(33016,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB89) | (~v260(constB89)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB89) | (~v260(constB89)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33017,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB89) | (~v260(constB89)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33018,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB89) | (~v260(constB89))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33017, 33016])).
% 80.35/52.19 tff(33019,plain,
% 80.35/52.19 (~v260(constB89)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33018, 12130, 33015])).
% 80.35/52.19 tff(33020,plain,
% 80.35/52.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB89)) | (~v259(constB89)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB89)) | (~v259(constB89)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33021,plain,
% 80.35/52.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB89)) | (~v259(constB89)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33022,plain,
% 80.35/52.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB89)) | (~v259(constB89))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33021, 33020])).
% 80.35/52.19 tff(33023,plain,
% 80.35/52.19 (~v259(constB89)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33022, 12141, 12079])).
% 80.35/52.19 tff(33024,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB89) | v260(constB89) | (~v256(constB89)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB89) | v260(constB89) | (~v256(constB89)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33025,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB89) | v260(constB89) | (~v256(constB89)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33026,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB89) | v260(constB89) | (~v256(constB89))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33025, 33024])).
% 80.35/52.19 tff(33027,plain,
% 80.35/52.19 (v260(constB89) | (~v256(constB89))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33026, 12155, 33023])).
% 80.35/52.19 tff(33028,plain,
% 80.35/52.19 (~v256(constB89)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33027, 33019])).
% 80.35/52.19 tff(33029,plain,
% 80.35/52.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB89, constB90)) | v256(constB89) | (~v258(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB89, constB90)) | v256(constB89) | (~v258(constB90)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33030,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB89, constB90)) | v256(constB89) | (~v258(constB90)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33031,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB89, constB90)) | v256(constB89) | (~v258(constB90))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33030, 33029])).
% 80.35/52.19 tff(33032,plain,
% 80.35/52.19 (v256(constB89) | (~v258(constB90))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33031, 12170, 9913])).
% 80.35/52.19 tff(33033,plain,
% 80.35/52.19 (~v258(constB90)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33032, 33028])).
% 80.35/52.19 tff(33034,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB90) | (~v259(constB90)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB90) | (~v259(constB90)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33035,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB90) | (~v259(constB90)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33036,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB90) | (~v259(constB90))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33035, 33034])).
% 80.35/52.19 tff(33037,plain,
% 80.35/52.19 (~v259(constB90)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33036, 12182, 33033])).
% 80.35/52.19 tff(33038,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB90) | (~v262(constB90)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB90) | (~v262(constB90)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33039,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB90) | (~v262(constB90)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33040,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB90) | (~v262(constB90))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33039, 33038])).
% 80.35/52.19 tff(33041,plain,
% 80.35/52.19 (~v262(constB90)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33040, 12193, 12101])).
% 80.35/52.19 tff(33042,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB90) | (~v261(constB90)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB90) | (~v261(constB90)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33043,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB90) | (~v261(constB90)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33044,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB90) | (~v261(constB90))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 80.35/52.19 tff(33045,plain,
% 80.35/52.19 (~v261(constB90)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33044, 12204, 33041])).
% 80.35/52.19 tff(33046,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB90) | (~v260(constB90)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB90) | (~v260(constB90)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33047,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB90) | (~v260(constB90)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33048,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB90) | (~v260(constB90))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33047, 33046])).
% 80.35/52.19 tff(33049,plain,
% 80.35/52.19 (~v260(constB90)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33048, 12215, 33045])).
% 80.35/52.19 tff(33050,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB90) | v260(constB90) | (~v256(constB90)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB90) | v260(constB90) | (~v256(constB90)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33051,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB90) | v260(constB90) | (~v256(constB90)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33052,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB90) | v260(constB90) | (~v256(constB90))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33051, 33050])).
% 80.35/52.19 tff(33053,plain,
% 80.35/52.19 (v259(constB90) | (~v256(constB90))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33052, 12155, 33049])).
% 80.35/52.19 tff(33054,plain,
% 80.35/52.19 (~v256(constB90)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33053, 33037])).
% 80.35/52.19 tff(33055,plain,
% 80.35/52.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB90, constB91)) | v256(constB90) | (~v258(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB90, constB91)) | v256(constB90) | (~v258(constB91)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33056,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB90, constB91)) | v256(constB90) | (~v258(constB91)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33057,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB90, constB91)) | v256(constB90) | (~v258(constB91))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33056, 33055])).
% 80.35/52.19 tff(33058,plain,
% 80.35/52.19 (v256(constB90) | (~v258(constB91))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33057, 12170, 10032])).
% 80.35/52.19 tff(33059,plain,
% 80.35/52.19 (~v258(constB91)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33058, 33054])).
% 80.35/52.19 tff(33060,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB91) | (~v271(constB91)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB91) | (~v271(constB91)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33061,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB91) | (~v271(constB91)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33062,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB91) | (~v271(constB91))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33061, 33060])).
% 80.35/52.19 tff(33063,plain,
% 80.35/52.19 (~v271(constB91)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33062, 12236, 33059])).
% 80.35/52.19 tff(33064,plain,
% 80.35/52.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB91)) | (~v270(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB91)) | (~v270(constB91)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33065,plain,
% 80.35/52.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB91)) | (~v270(constB91)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33066,plain,
% 80.35/52.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB91)) | (~v270(constB91))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33065, 33064])).
% 80.35/52.19 tff(33067,plain,
% 80.35/52.19 (~v270(constB91)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33066, 12247, 11589])).
% 80.35/52.19 tff(33068,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB91)) | v271(constB91) | v270(constB91))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB91)) | v271(constB91) | v270(constB91))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33069,plain,
% 80.35/52.19 ((v271(constB91) | v270(constB91) | (~v267(constB91))) <=> ((~v267(constB91)) | v271(constB91) | v270(constB91))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33070,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB91) | v270(constB91) | (~v267(constB91)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB91)) | v271(constB91) | v270(constB91)))),
% 80.35/52.19 inference(monotonicity,[status(thm)],[33069])).
% 80.35/52.19 tff(33071,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB91) | v270(constB91) | (~v267(constB91)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB91)) | v271(constB91) | v270(constB91))),
% 80.35/52.19 inference(transitivity,[status(thm)],[33070, 33068])).
% 80.35/52.19 tff(33072,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB91) | v270(constB91) | (~v267(constB91)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33073,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB91)) | v271(constB91) | v270(constB91)),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33072, 33071])).
% 80.35/52.19 tff(33074,plain,
% 80.35/52.19 ((~v267(constB91)) | v271(constB91)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33073, 12261, 33067])).
% 80.35/52.19 tff(33075,plain,
% 80.35/52.19 (~v267(constB91)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33074, 33063])).
% 80.35/52.19 tff(33076,plain,
% 80.35/52.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB91, constB92)) | v267(constB91) | (~v269(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB91, constB92)) | v267(constB91) | (~v269(constB92)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33077,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB91, constB92)) | v267(constB91) | (~v269(constB92)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33078,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB91, constB92)) | v267(constB91) | (~v269(constB92))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33077, 33076])).
% 80.35/52.19 tff(33079,plain,
% 80.35/52.19 (v267(constB91) | (~v269(constB92))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33078, 12279, 10140])).
% 80.35/52.19 tff(33080,plain,
% 80.35/52.19 (~v269(constB92)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33079, 33075])).
% 80.35/52.19 tff(33081,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB92) | (~v270(constB92)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB92) | (~v270(constB92)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33082,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB92) | (~v270(constB92)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33083,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB92) | (~v270(constB92))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33082, 33081])).
% 80.35/52.19 tff(33084,plain,
% 80.35/52.19 (~v270(constB92)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33083, 12291, 33080])).
% 80.35/52.19 tff(33085,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB92) | (~v271(constB92)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB92) | (~v271(constB92)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33086,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB92) | (~v271(constB92)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33087,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB92) | (~v271(constB92))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33086, 33085])).
% 80.35/52.19 tff(33088,plain,
% 80.35/52.19 (~v271(constB92)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33087, 12310, 12208])).
% 80.35/52.19 tff(33089,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB92)) | v271(constB92) | v270(constB92))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB92)) | v271(constB92) | v270(constB92))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33090,plain,
% 80.35/52.19 ((v271(constB92) | v270(constB92) | (~v267(constB92))) <=> ((~v267(constB92)) | v271(constB92) | v270(constB92))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33091,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB92) | v270(constB92) | (~v267(constB92)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB92)) | v271(constB92) | v270(constB92)))),
% 80.35/52.19 inference(monotonicity,[status(thm)],[33090])).
% 80.35/52.19 tff(33092,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB92) | v270(constB92) | (~v267(constB92)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB92)) | v271(constB92) | v270(constB92))),
% 80.35/52.19 inference(transitivity,[status(thm)],[33091, 33089])).
% 80.35/52.19 tff(33093,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB92) | v270(constB92) | (~v267(constB92)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33094,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB92)) | v271(constB92) | v270(constB92)),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33093, 33092])).
% 80.35/52.19 tff(33095,plain,
% 80.35/52.19 ((~v267(constB92)) | v270(constB92)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33094, 12261, 33088])).
% 80.35/52.19 tff(33096,plain,
% 80.35/52.19 (~v267(constB92)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33095, 33084])).
% 80.35/52.19 tff(33097,plain,
% 80.35/52.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB92, constB93)) | v267(constB92) | (~v269(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB92, constB93)) | v267(constB92) | (~v269(constB93)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33098,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB92, constB93)) | v267(constB92) | (~v269(constB93)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33099,plain,
% 80.35/52.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB92, constB93)) | v267(constB92) | (~v269(constB93))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 80.35/52.19 tff(33100,plain,
% 80.35/52.19 (v267(constB92) | (~v269(constB93))),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33099, 12279, 10206])).
% 80.35/52.19 tff(33101,plain,
% 80.35/52.19 (~v269(constB93)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33100, 33096])).
% 80.35/52.19 tff(33102,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB93) | (~v307(constB93)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB93) | (~v307(constB93)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33103,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB93) | (~v307(constB93)))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33104,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB93) | (~v307(constB93))),
% 80.35/52.19 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 80.35/52.19 tff(33105,plain,
% 80.35/52.19 (~v307(constB93)),
% 80.35/52.19 inference(unit_resolution,[status(thm)],[33104, 20510, 33101])).
% 80.35/52.19 tff(33106,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB93) | v307(constB93) | (~v290(constB93)))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB93) | v307(constB93) | (~v290(constB93)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33107,plain,
% 80.35/52.19 ((v307(constB93) | (~v290(constB93)) | v289(constB93)) <=> (v289(constB93) | v307(constB93) | (~v290(constB93)))),
% 80.35/52.19 inference(rewrite,[status(thm)],[])).
% 80.35/52.19 tff(33108,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB93) | (~v290(constB93)) | v289(constB93))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB93) | v307(constB93) | (~v290(constB93))))),
% 80.35/52.19 inference(monotonicity,[status(thm)],[33107])).
% 80.35/52.19 tff(33109,plain,
% 80.35/52.19 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB93) | (~v290(constB93)) | v289(constB93))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB93) | v307(constB93) | (~v290(constB93)))),
% 80.35/52.19 inference(transitivity,[status(thm)],[33108, 33106])).
% 80.35/52.19 tff(33110,plain,
% 80.35/52.19 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB93) | (~v290(constB93)) | v289(constB93))),
% 80.35/52.19 inference(quant_inst,[status(thm)],[])).
% 80.35/52.19 tff(33111,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB93) | v307(constB93) | (~v290(constB93))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33110, 33109])).
% 80.35/52.20 tff(33112,plain,
% 80.35/52.20 (v289(constB93) | (~v290(constB93))),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33111, 11821, 33105])).
% 80.35/52.20 tff(33113,plain,
% 80.35/52.20 (v289(constB93)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33112, 32793])).
% 80.35/52.20 tff(33114,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33115,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33116,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2)),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33115, 33114])).
% 80.35/52.20 tff(33117,plain,
% 80.35/52.20 (v88(constB81, bitIndex2)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33116, 10735, 9005])).
% 80.35/52.20 tff(33118,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v139(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33119,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33120,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v139(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33119, 33118])).
% 80.35/52.20 tff(33121,plain,
% 80.35/52.20 (~v139(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33120, 10882, 33117])).
% 80.35/52.20 tff(33122,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v140(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33123,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33124,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v140(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33123, 33122])).
% 80.35/52.20 tff(33125,plain,
% 80.35/52.20 (~v140(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33124, 10893, 33117])).
% 80.35/52.20 tff(33126,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v168(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB81) | v139(constB81) | (~v168(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33127,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v168(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33128,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB81) | v139(constB81) | (~v168(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33127, 33126])).
% 80.35/52.20 tff(33129,plain,
% 80.35/52.20 (~v168(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33128, 10907, 33125, 33121])).
% 80.35/52.20 tff(33130,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33131,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33132,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33131, 33130])).
% 80.35/52.20 tff(33133,plain,
% 80.35/52.20 (~v88(constB81, bitIndex1)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33132, 10918, 9039])).
% 80.35/52.20 tff(33134,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33135,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33136,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33135, 33134])).
% 80.35/52.20 tff(33137,plain,
% 80.35/52.20 (~v88(constB81, bitIndex0)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33136, 10755, 9073])).
% 80.35/52.20 tff(33138,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v146(constB81))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33139,plain,
% 80.35/52.20 (((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81)) <=> (v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v146(constB81))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33140,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v146(constB81)))),
% 80.35/52.20 inference(monotonicity,[status(thm)],[33139])).
% 80.35/52.20 tff(33141,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v146(constB81))),
% 80.35/52.20 inference(transitivity,[status(thm)],[33140, 33138])).
% 80.35/52.20 tff(33142,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33143,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v146(constB81)),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33142, 33141])).
% 80.35/52.20 tff(33144,plain,
% 80.35/52.20 (v146(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33143, 10936, 33117, 33137, 33133])).
% 80.35/52.20 tff(33145,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB81) | (~v146(constB81)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB81) | (~v146(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33146,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB81) | (~v146(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33147,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB81) | (~v146(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33146, 33145])).
% 80.35/52.20 tff(33148,plain,
% 80.35/52.20 (v145(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33147, 10950, 33144])).
% 80.35/52.20 tff(33149,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB81) | (~v145(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33150,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB81) | (~v145(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33151,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB81) | (~v145(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33150, 33149])).
% 80.35/52.20 tff(33152,plain,
% 80.35/52.20 (v226(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33151, 10961, 33148])).
% 80.35/52.20 tff(33153,plain,
% 80.35/52.20 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB81)) | (~v226(constB81)) | v168(constB81))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB81)) | (~v226(constB81)) | v168(constB81))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33154,plain,
% 80.35/52.20 ((v168(constB81) | (~v226(constB81)) | (~v161(constB81))) <=> ((~v161(constB81)) | (~v226(constB81)) | v168(constB81))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33155,plain,
% 80.35/52.20 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB81) | (~v226(constB81)) | (~v161(constB81)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB81)) | (~v226(constB81)) | v168(constB81)))),
% 80.35/52.20 inference(monotonicity,[status(thm)],[33154])).
% 80.35/52.20 tff(33156,plain,
% 80.35/52.20 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB81) | (~v226(constB81)) | (~v161(constB81)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB81)) | (~v226(constB81)) | v168(constB81))),
% 80.35/52.20 inference(transitivity,[status(thm)],[33155, 33153])).
% 80.35/52.20 tff(33157,plain,
% 80.35/52.20 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB81) | (~v226(constB81)) | (~v161(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33158,plain,
% 80.35/52.20 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB81)) | (~v226(constB81)) | v168(constB81)),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33157, 33156])).
% 80.35/52.20 tff(33159,plain,
% 80.35/52.20 (~v161(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33158, 10975, 33152, 33129])).
% 80.35/52.20 tff(33160,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB81) | (~v187(constB81)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB81) | (~v187(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33161,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB81) | (~v187(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33162,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB81) | (~v187(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 80.35/52.20 tff(33163,plain,
% 80.35/52.20 (~v187(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33162, 10989, 33159])).
% 80.35/52.20 tff(33164,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB81) | (~v185(constB81)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB81) | (~v185(constB81)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33165,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB81) | (~v185(constB81)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33166,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB81) | (~v185(constB81))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 80.35/52.20 tff(33167,plain,
% 80.35/52.20 (~v185(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33166, 11000, 33163])).
% 80.35/52.20 tff(33168,assumption,(v18(constB82)), introduced(assumption)).
% 80.35/52.20 tff(33169,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB82))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33170,plain,
% 80.35/52.20 ($false),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33169, 70, 33168])).
% 80.35/52.20 tff(33171,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 80.35/52.20 tff(33172,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33173,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33174,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 80.35/52.20 tff(33175,plain,
% 80.35/52.20 (v22(constB82)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33174, 83, 9125])).
% 80.35/52.20 tff(33176,plain,
% 80.35/52.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33177,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33178,plain,
% 80.35/52.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82)),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33177, 33176])).
% 80.35/52.20 tff(33179,plain,
% 80.35/52.20 ((~v19(constB82)) | v18(constB82)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33178, 97, 33175])).
% 80.35/52.20 tff(33180,plain,
% 80.35/52.20 (~v19(constB82)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33179, 33171])).
% 80.35/52.20 tff(33181,plain,
% 80.35/52.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33182,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33183,plain,
% 80.35/52.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 80.35/52.20 tff(33184,plain,
% 80.35/52.20 (v13(constB82)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33183, 112, 33180])).
% 80.35/52.20 tff(33185,plain,
% 80.35/52.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 80.35/52.20 inference(rewrite,[status(thm)],[])).
% 80.35/52.20 tff(33186,plain,
% 80.35/52.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 80.35/52.20 inference(quant_inst,[status(thm)],[])).
% 80.35/52.20 tff(33187,plain,
% 80.35/52.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81)),
% 80.35/52.20 inference(modus_ponens,[status(thm)],[33186, 33185])).
% 80.35/52.20 tff(33188,plain,
% 80.35/52.20 ((~v13(constB82)) | v9(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33187, 129, 9105])).
% 80.35/52.20 tff(33189,plain,
% 80.35/52.20 (v9(constB81)),
% 80.35/52.20 inference(unit_resolution,[status(thm)],[33188, 33184])).
% 80.35/52.21 tff(33190,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v184(constB81))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB81) | (~v9(constB81)) | v184(constB81))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33191,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v184(constB81))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33192,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB81) | (~v9(constB81)) | v184(constB81)),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 80.35/52.21 tff(33193,plain,
% 80.35/52.21 ((~v9(constB81)) | v184(constB81)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33192, 11036, 8981])).
% 80.35/52.21 tff(33194,plain,
% 80.35/52.21 (v184(constB81)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33193, 33189])).
% 80.35/52.21 tff(33195,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB81) | (~v184(constB81)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB81) | (~v184(constB81)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33196,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB81) | (~v184(constB81)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33197,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB81) | (~v184(constB81))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33196, 33195])).
% 80.35/52.21 tff(33198,plain,
% 80.35/52.21 (v183(constB81)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33197, 11048, 33194])).
% 80.35/52.21 tff(33199,plain,
% 80.35/52.21 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB81)) | (~v183(constB81)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB81)) | (~v183(constB81)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33200,plain,
% 80.35/52.21 (((~v183(constB81)) | (~v181(constB81))) <=> ((~v181(constB81)) | (~v183(constB81)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33201,plain,
% 80.35/52.21 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB81)) | (~v181(constB81)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB81)) | (~v183(constB81))))),
% 80.35/52.21 inference(monotonicity,[status(thm)],[33200])).
% 80.35/52.21 tff(33202,plain,
% 80.35/52.21 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB81)) | (~v181(constB81)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB81)) | (~v183(constB81)))),
% 80.35/52.21 inference(transitivity,[status(thm)],[33201, 33199])).
% 80.35/52.21 tff(33203,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB81)) | (~v181(constB81)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33204,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB81)) | (~v183(constB81))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 80.35/52.21 tff(33205,plain,
% 80.35/52.21 (~v181(constB81)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33204, 11059, 33198])).
% 80.35/52.21 tff(33206,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB81) | v185(constB81) | (~v178(constB81)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB81) | v185(constB81) | (~v178(constB81)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33207,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB81) | v185(constB81) | (~v178(constB81)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33208,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB81) | v185(constB81) | (~v178(constB81))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33207, 33206])).
% 80.35/52.21 tff(33209,plain,
% 80.35/52.21 (v185(constB81) | (~v178(constB81))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33208, 11073, 33205])).
% 80.35/52.21 tff(33210,plain,
% 80.35/52.21 (~v178(constB81)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33209, 33167])).
% 80.35/52.21 tff(33211,plain,
% 80.35/52.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33212,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33213,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33212, 33211])).
% 80.35/52.21 tff(33214,plain,
% 80.35/52.21 (v178(constB81) | (~v180(constB82))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33213, 11088, 9105])).
% 80.35/52.21 tff(33215,plain,
% 80.35/52.21 (~v180(constB82)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33214, 33210])).
% 80.35/52.21 tff(33216,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB82) | (~v181(constB82)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB82) | (~v181(constB82)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33217,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB82) | (~v181(constB82)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33218,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB82) | (~v181(constB82))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 80.35/52.21 tff(33219,plain,
% 80.35/52.21 (~v181(constB82)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33218, 11100, 33215])).
% 80.35/52.21 tff(33220,plain,
% 80.35/52.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB82)) | (~v184(constB82)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB82)) | (~v184(constB82)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33221,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB82)) | (~v184(constB82)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33222,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB82)) | (~v184(constB82))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33221, 33220])).
% 80.35/52.21 tff(33223,plain,
% 80.35/52.21 (~v184(constB82)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33222, 11111, 9125])).
% 80.35/52.21 tff(33224,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB82) | (~v187(constB82)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB82) | (~v187(constB82)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33225,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB82) | (~v187(constB82)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33226,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB82) | (~v187(constB82))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 80.35/52.21 tff(33227,plain,
% 80.35/52.21 (~v187(constB82)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33226, 11122, 33223])).
% 80.35/52.21 tff(33228,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB82) | (~v185(constB82)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB82) | (~v185(constB82)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33229,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB82) | (~v185(constB82)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33230,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB82) | (~v185(constB82))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33229, 33228])).
% 80.35/52.21 tff(33231,plain,
% 80.35/52.21 (~v185(constB82)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33230, 11000, 33227])).
% 80.35/52.21 tff(33232,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB82) | v185(constB82) | (~v178(constB82)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB82) | v185(constB82) | (~v178(constB82)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33233,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB82) | v185(constB82) | (~v178(constB82)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33234,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB82) | v185(constB82) | (~v178(constB82))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33233, 33232])).
% 80.35/52.21 tff(33235,plain,
% 80.35/52.21 (v181(constB82) | (~v178(constB82))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33234, 11073, 33231])).
% 80.35/52.21 tff(33236,plain,
% 80.35/52.21 (~v178(constB82)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33235, 33219])).
% 80.35/52.21 tff(33237,plain,
% 80.35/52.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33238,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33239,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33238, 33237])).
% 80.35/52.21 tff(33240,plain,
% 80.35/52.21 (v178(constB82) | (~v180(constB83))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33239, 11088, 9167])).
% 80.35/52.21 tff(33241,plain,
% 80.35/52.21 (~v180(constB83)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33240, 33236])).
% 80.35/52.21 tff(33242,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB83) | (~v215(constB83)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB83) | (~v215(constB83)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33243,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB83) | (~v215(constB83)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33244,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB83) | (~v215(constB83))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33243, 33242])).
% 80.35/52.21 tff(33245,plain,
% 80.35/52.21 (~v215(constB83)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33244, 11147, 33241])).
% 80.35/52.21 tff(33246,plain,
% 80.35/52.21 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB83)) | (~v214(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB83)) | (~v214(constB83)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33247,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB83)) | (~v214(constB83)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33248,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB83)) | (~v214(constB83))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33247, 33246])).
% 80.35/52.21 tff(33249,plain,
% 80.35/52.21 (~v214(constB83)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33248, 11189, 32884])).
% 80.35/52.21 tff(33250,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB83) | v215(constB83) | (~v211(constB83)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB83) | v215(constB83) | (~v211(constB83)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33251,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB83) | v215(constB83) | (~v211(constB83)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33252,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB83) | v215(constB83) | (~v211(constB83))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33251, 33250])).
% 80.35/52.21 tff(33253,plain,
% 80.35/52.21 (v215(constB83) | (~v211(constB83))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33252, 11203, 33249])).
% 80.35/52.21 tff(33254,plain,
% 80.35/52.21 (~v211(constB83)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33253, 33245])).
% 80.35/52.21 tff(33255,plain,
% 80.35/52.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB83, constB84)) | v211(constB83) | (~v213(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB83, constB84)) | v211(constB83) | (~v213(constB84)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33256,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB83, constB84)) | v211(constB83) | (~v213(constB84)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33257,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB83, constB84)) | v211(constB83) | (~v213(constB84))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33256, 33255])).
% 80.35/52.21 tff(33258,plain,
% 80.35/52.21 (v211(constB83) | (~v213(constB84))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33257, 11218, 9285])).
% 80.35/52.21 tff(33259,plain,
% 80.35/52.21 (~v213(constB84)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33258, 33254])).
% 80.35/52.21 tff(33260,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB84) | (~v214(constB84)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB84) | (~v214(constB84)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33261,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB84) | (~v214(constB84)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33262,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB84) | (~v214(constB84))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33261, 33260])).
% 80.35/52.21 tff(33263,plain,
% 80.35/52.21 (~v214(constB84)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33262, 11230, 33259])).
% 80.35/52.21 tff(33264,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB84) | (~v217(constB84)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB84) | (~v217(constB84)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33265,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB84) | (~v217(constB84)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33266,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB84) | (~v217(constB84))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33265, 33264])).
% 80.35/52.21 tff(33267,plain,
% 80.35/52.21 (~v217(constB84)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33266, 11245, 32909])).
% 80.35/52.21 tff(33268,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB84) | (~v216(constB84)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB84) | (~v216(constB84)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33269,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB84) | (~v216(constB84)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33270,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB84) | (~v216(constB84))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 80.35/52.21 tff(33271,plain,
% 80.35/52.21 (~v216(constB84)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33270, 11256, 33267])).
% 80.35/52.21 tff(33272,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB84) | (~v215(constB84)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB84) | (~v215(constB84)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33273,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB84) | (~v215(constB84)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33274,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB84) | (~v215(constB84))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33273, 33272])).
% 80.35/52.21 tff(33275,plain,
% 80.35/52.21 (~v215(constB84)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33274, 11267, 33271])).
% 80.35/52.21 tff(33276,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB84) | v215(constB84) | (~v211(constB84)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB84) | v215(constB84) | (~v211(constB84)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33277,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB84) | v215(constB84) | (~v211(constB84)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33278,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB84) | v215(constB84) | (~v211(constB84))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33277, 33276])).
% 80.35/52.21 tff(33279,plain,
% 80.35/52.21 (v214(constB84) | (~v211(constB84))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33278, 11203, 33275])).
% 80.35/52.21 tff(33280,plain,
% 80.35/52.21 (~v211(constB84)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33279, 33263])).
% 80.35/52.21 tff(33281,plain,
% 80.35/52.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB84, constB85)) | v211(constB84) | (~v213(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB84, constB85)) | v211(constB84) | (~v213(constB85)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33282,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB84, constB85)) | v211(constB84) | (~v213(constB85)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33283,plain,
% 80.35/52.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB84, constB85)) | v211(constB84) | (~v213(constB85))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33282, 33281])).
% 80.35/52.21 tff(33284,plain,
% 80.35/52.21 (v211(constB84) | (~v213(constB85))),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33283, 11218, 9351])).
% 80.35/52.21 tff(33285,plain,
% 80.35/52.21 (~v213(constB85)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33284, 33280])).
% 80.35/52.21 tff(33286,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB85) | (~v245(constB85)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB85) | (~v245(constB85)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33287,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB85) | (~v245(constB85)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33288,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB85) | (~v245(constB85))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33287, 33286])).
% 80.35/52.21 tff(33289,plain,
% 80.35/52.21 (~v245(constB85)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33288, 11683, 33285])).
% 80.35/52.21 tff(33290,plain,
% 80.35/52.21 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB85)) | (~v244(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB85)) | (~v244(constB85)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33291,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB85)) | (~v244(constB85)))),
% 80.35/52.21 inference(quant_inst,[status(thm)],[])).
% 80.35/52.21 tff(33292,plain,
% 80.35/52.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB85)) | (~v244(constB85))),
% 80.35/52.21 inference(modus_ponens,[status(thm)],[33291, 33290])).
% 80.35/52.21 tff(33293,plain,
% 80.35/52.21 (~v244(constB85)),
% 80.35/52.21 inference(unit_resolution,[status(thm)],[33292, 11694, 11922])).
% 80.35/52.21 tff(33294,plain,
% 80.35/52.21 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB85) | v245(constB85) | (~v241(constB85)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB85) | v245(constB85) | (~v241(constB85)))),
% 80.35/52.21 inference(rewrite,[status(thm)],[])).
% 80.35/52.21 tff(33295,plain,
% 80.35/52.21 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB85) | v245(constB85) | (~v241(constB85)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33296,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB85) | v245(constB85) | (~v241(constB85))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33295, 33294])).
% 80.35/52.22 tff(33297,plain,
% 80.35/52.22 (v245(constB85) | (~v241(constB85))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33296, 11708, 33293])).
% 80.35/52.22 tff(33298,plain,
% 80.35/52.22 (~v241(constB85)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33297, 33289])).
% 80.35/52.22 tff(33299,plain,
% 80.35/52.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB85, constB86)) | v241(constB85) | (~v243(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB85, constB86)) | v241(constB85) | (~v243(constB86)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33300,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB85, constB86)) | v241(constB85) | (~v243(constB86)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33301,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB85, constB86)) | v241(constB85) | (~v243(constB86))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33300, 33299])).
% 80.35/52.22 tff(33302,plain,
% 80.35/52.22 (v241(constB85) | (~v243(constB86))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33301, 11723, 9449])).
% 80.35/52.22 tff(33303,plain,
% 80.35/52.22 (~v243(constB86)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33302, 33298])).
% 80.35/52.22 tff(33304,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB86) | (~v244(constB86)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB86) | (~v244(constB86)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33305,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB86) | (~v244(constB86)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33306,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB86) | (~v244(constB86))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33305, 33304])).
% 80.35/52.22 tff(33307,plain,
% 80.35/52.22 (~v244(constB86)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33306, 11735, 33303])).
% 80.35/52.22 tff(33308,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB86) | (~v247(constB86)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB86) | (~v247(constB86)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33309,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB86) | (~v247(constB86)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33310,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB86) | (~v247(constB86))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33309, 33308])).
% 80.35/52.22 tff(33311,plain,
% 80.35/52.22 (~v247(constB86)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33310, 11746, 11947])).
% 80.35/52.22 tff(33312,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB86) | (~v246(constB86)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB86) | (~v246(constB86)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33313,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB86) | (~v246(constB86)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33314,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB86) | (~v246(constB86))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33313, 33312])).
% 80.35/52.22 tff(33315,plain,
% 80.35/52.22 (~v246(constB86)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33314, 11757, 33311])).
% 80.35/52.22 tff(33316,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB86) | (~v245(constB86)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB86) | (~v245(constB86)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33317,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB86) | (~v245(constB86)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33318,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB86) | (~v245(constB86))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33317, 33316])).
% 80.35/52.22 tff(33319,plain,
% 80.35/52.22 (~v245(constB86)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33318, 11768, 33315])).
% 80.35/52.22 tff(33320,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB86) | v245(constB86) | (~v241(constB86)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB86) | v245(constB86) | (~v241(constB86)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33321,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB86) | v245(constB86) | (~v241(constB86)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33322,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB86) | v245(constB86) | (~v241(constB86))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33321, 33320])).
% 80.35/52.22 tff(33323,plain,
% 80.35/52.22 (v244(constB86) | (~v241(constB86))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33322, 11708, 33319])).
% 80.35/52.22 tff(33324,plain,
% 80.35/52.22 (~v241(constB86)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33323, 33307])).
% 80.35/52.22 tff(33325,plain,
% 80.35/52.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB86, constB87)) | v241(constB86) | (~v243(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB86, constB87)) | v241(constB86) | (~v243(constB87)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33326,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB86, constB87)) | v241(constB86) | (~v243(constB87)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33327,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB86, constB87)) | v241(constB86) | (~v243(constB87))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33326, 33325])).
% 80.35/52.22 tff(33328,plain,
% 80.35/52.22 (v241(constB86) | (~v243(constB87))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33327, 11723, 9627])).
% 80.35/52.22 tff(33329,plain,
% 80.35/52.22 (~v243(constB87)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33328, 33324])).
% 80.35/52.22 tff(33330,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB87) | (~v260(constB87)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB87) | (~v260(constB87)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33331,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB87) | (~v260(constB87)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33332,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB87) | (~v260(constB87))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33331, 33330])).
% 80.35/52.22 tff(33333,plain,
% 80.35/52.22 (~v260(constB87)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33332, 12130, 33329])).
% 80.35/52.22 tff(33334,plain,
% 80.35/52.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB87)) | (~v259(constB87)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB87)) | (~v259(constB87)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33335,plain,
% 80.35/52.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB87)) | (~v259(constB87)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33336,plain,
% 80.35/52.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB87)) | (~v259(constB87))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33335, 33334])).
% 80.35/52.22 tff(33337,plain,
% 80.35/52.22 (~v259(constB87)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33336, 12141, 12000])).
% 80.35/52.22 tff(33338,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB87) | v260(constB87) | (~v256(constB87)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB87) | v260(constB87) | (~v256(constB87)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33339,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB87) | v260(constB87) | (~v256(constB87)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33340,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB87) | v260(constB87) | (~v256(constB87))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33339, 33338])).
% 80.35/52.22 tff(33341,plain,
% 80.35/52.22 (v260(constB87) | (~v256(constB87))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33340, 12155, 33337])).
% 80.35/52.22 tff(33342,plain,
% 80.35/52.22 (~v256(constB87)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33341, 33333])).
% 80.35/52.22 tff(33343,plain,
% 80.35/52.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB87, constB88)) | v256(constB87) | (~v258(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB87, constB88)) | v256(constB87) | (~v258(constB88)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33344,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB87, constB88)) | v256(constB87) | (~v258(constB88)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33345,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB87, constB88)) | v256(constB87) | (~v258(constB88))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 80.35/52.22 tff(33346,plain,
% 80.35/52.22 (v256(constB87) | (~v258(constB88))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33345, 12170, 9742])).
% 80.35/52.22 tff(33347,plain,
% 80.35/52.22 (~v258(constB88)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33346, 33342])).
% 80.35/52.22 tff(33348,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB88) | (~v259(constB88)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB88) | (~v259(constB88)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33349,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB88) | (~v259(constB88)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33350,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB88) | (~v259(constB88))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 80.35/52.22 tff(33351,plain,
% 80.35/52.22 (~v259(constB88)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33350, 12182, 33347])).
% 80.35/52.22 tff(33352,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB88) | (~v262(constB88)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB88) | (~v262(constB88)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33353,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB88) | (~v262(constB88)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33354,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB88) | (~v262(constB88))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33353, 33352])).
% 80.35/52.22 tff(33355,plain,
% 80.35/52.22 (~v262(constB88)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33354, 12193, 12022])).
% 80.35/52.22 tff(33356,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB88) | (~v261(constB88)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB88) | (~v261(constB88)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33357,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB88) | (~v261(constB88)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33358,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB88) | (~v261(constB88))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33357, 33356])).
% 80.35/52.22 tff(33359,plain,
% 80.35/52.22 (~v261(constB88)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33358, 12204, 33355])).
% 80.35/52.22 tff(33360,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB88) | (~v260(constB88)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB88) | (~v260(constB88)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33361,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB88) | (~v260(constB88)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33362,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB88) | (~v260(constB88))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33361, 33360])).
% 80.35/52.22 tff(33363,plain,
% 80.35/52.22 (~v260(constB88)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33362, 12215, 33359])).
% 80.35/52.22 tff(33364,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB88) | v260(constB88) | (~v256(constB88)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB88) | v260(constB88) | (~v256(constB88)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33365,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB88) | v260(constB88) | (~v256(constB88)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33366,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB88) | v260(constB88) | (~v256(constB88))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33365, 33364])).
% 80.35/52.22 tff(33367,plain,
% 80.35/52.22 (v259(constB88) | (~v256(constB88))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33366, 12155, 33363])).
% 80.35/52.22 tff(33368,plain,
% 80.35/52.22 (~v256(constB88)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33367, 33351])).
% 80.35/52.22 tff(33369,plain,
% 80.35/52.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB88, constB89)) | v256(constB88) | (~v258(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB88, constB89)) | v256(constB88) | (~v258(constB89)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33370,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB88, constB89)) | v256(constB88) | (~v258(constB89)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33371,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB88, constB89)) | v256(constB88) | (~v258(constB89))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33370, 33369])).
% 80.35/52.22 tff(33372,plain,
% 80.35/52.22 (v256(constB88) | (~v258(constB89))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33371, 12170, 9807])).
% 80.35/52.22 tff(33373,plain,
% 80.35/52.22 (~v258(constB89)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33372, 33368])).
% 80.35/52.22 tff(33374,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB89) | (~v271(constB89)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB89) | (~v271(constB89)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33375,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB89) | (~v271(constB89)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33376,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB89) | (~v271(constB89))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33375, 33374])).
% 80.35/52.22 tff(33377,plain,
% 80.35/52.22 (~v271(constB89)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33376, 12236, 33373])).
% 80.35/52.22 tff(33378,plain,
% 80.35/52.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB89)) | (~v270(constB89)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB89)) | (~v270(constB89)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33379,plain,
% 80.35/52.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB89)) | (~v270(constB89)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33380,plain,
% 80.35/52.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB89)) | (~v270(constB89))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33379, 33378])).
% 80.35/52.22 tff(33381,plain,
% 80.35/52.22 (~v270(constB89)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33380, 12247, 12079])).
% 80.35/52.22 tff(33382,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB89)) | v270(constB89) | v271(constB89))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB89)) | v270(constB89) | v271(constB89))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33383,plain,
% 80.35/52.22 ((v271(constB89) | v270(constB89) | (~v267(constB89))) <=> ((~v267(constB89)) | v270(constB89) | v271(constB89))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33384,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB89) | v270(constB89) | (~v267(constB89)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB89)) | v270(constB89) | v271(constB89)))),
% 80.35/52.22 inference(monotonicity,[status(thm)],[33383])).
% 80.35/52.22 tff(33385,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB89) | v270(constB89) | (~v267(constB89)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB89)) | v270(constB89) | v271(constB89))),
% 80.35/52.22 inference(transitivity,[status(thm)],[33384, 33382])).
% 80.35/52.22 tff(33386,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB89) | v270(constB89) | (~v267(constB89)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33387,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB89)) | v270(constB89) | v271(constB89)),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33386, 33385])).
% 80.35/52.22 tff(33388,plain,
% 80.35/52.22 ((~v267(constB89)) | v271(constB89)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33387, 12261, 33381])).
% 80.35/52.22 tff(33389,plain,
% 80.35/52.22 (~v267(constB89)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33388, 33377])).
% 80.35/52.22 tff(33390,plain,
% 80.35/52.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB89, constB90)) | v267(constB89) | (~v269(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB89, constB90)) | v267(constB89) | (~v269(constB90)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33391,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB89, constB90)) | v267(constB89) | (~v269(constB90)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33392,plain,
% 80.35/52.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB89, constB90)) | v267(constB89) | (~v269(constB90))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33391, 33390])).
% 80.35/52.22 tff(33393,plain,
% 80.35/52.22 (v267(constB89) | (~v269(constB90))),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33392, 12279, 9913])).
% 80.35/52.22 tff(33394,plain,
% 80.35/52.22 (~v269(constB90)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33393, 33389])).
% 80.35/52.22 tff(33395,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB90) | (~v270(constB90)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB90) | (~v270(constB90)))),
% 80.35/52.22 inference(rewrite,[status(thm)],[])).
% 80.35/52.22 tff(33396,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB90) | (~v270(constB90)))),
% 80.35/52.22 inference(quant_inst,[status(thm)],[])).
% 80.35/52.22 tff(33397,plain,
% 80.35/52.22 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB90) | (~v270(constB90))),
% 80.35/52.22 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 80.35/52.22 tff(33398,plain,
% 80.35/52.22 (~v270(constB90)),
% 80.35/52.22 inference(unit_resolution,[status(thm)],[33397, 12291, 33394])).
% 80.35/52.22 tff(33399,plain,
% 80.35/52.22 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB90) | (~v271(constB90)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB90) | (~v271(constB90)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33400,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB90) | (~v271(constB90)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33401,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB90) | (~v271(constB90))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 80.35/52.23 tff(33402,plain,
% 80.35/52.23 (~v271(constB90)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33401, 12310, 33045])).
% 80.35/52.23 tff(33403,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB90)) | v271(constB90) | v270(constB90))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB90)) | v271(constB90) | v270(constB90))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33404,plain,
% 80.35/52.23 ((v271(constB90) | v270(constB90) | (~v267(constB90))) <=> ((~v267(constB90)) | v271(constB90) | v270(constB90))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33405,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB90) | v270(constB90) | (~v267(constB90)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB90)) | v271(constB90) | v270(constB90)))),
% 80.35/52.23 inference(monotonicity,[status(thm)],[33404])).
% 80.35/52.23 tff(33406,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB90) | v270(constB90) | (~v267(constB90)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB90)) | v271(constB90) | v270(constB90))),
% 80.35/52.23 inference(transitivity,[status(thm)],[33405, 33403])).
% 80.35/52.23 tff(33407,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB90) | v270(constB90) | (~v267(constB90)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33408,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB90)) | v271(constB90) | v270(constB90)),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 80.35/52.23 tff(33409,plain,
% 80.35/52.23 ((~v267(constB90)) | v270(constB90)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33408, 12261, 33402])).
% 80.35/52.23 tff(33410,plain,
% 80.35/52.23 (~v267(constB90)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33409, 33398])).
% 80.35/52.23 tff(33411,plain,
% 80.35/52.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB90, constB91)) | v267(constB90) | (~v269(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB90, constB91)) | v267(constB90) | (~v269(constB91)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33412,plain,
% 80.35/52.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB90, constB91)) | v267(constB90) | (~v269(constB91)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33413,plain,
% 80.35/52.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB90, constB91)) | v267(constB90) | (~v269(constB91))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 80.35/52.23 tff(33414,plain,
% 80.35/52.23 (v267(constB90) | (~v269(constB91))),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33413, 12279, 10032])).
% 80.35/52.23 tff(33415,plain,
% 80.35/52.23 (~v269(constB91)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33414, 33410])).
% 80.35/52.23 tff(33416,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB91) | (~v282(constB91)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB91) | (~v282(constB91)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33417,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB91) | (~v282(constB91)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33418,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB91) | (~v282(constB91))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33417, 33416])).
% 80.35/52.23 tff(33419,plain,
% 80.35/52.23 (~v282(constB91)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33418, 12334, 33415])).
% 80.35/52.23 tff(33420,plain,
% 80.35/52.23 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB91)) | (~v281(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB91)) | (~v281(constB91)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33421,plain,
% 80.35/52.23 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB91)) | (~v281(constB91)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33422,plain,
% 80.35/52.23 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB91)) | (~v281(constB91))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33421, 33420])).
% 80.35/52.23 tff(33423,plain,
% 80.35/52.23 (~v281(constB91)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33422, 12345, 11589])).
% 80.35/52.23 tff(33424,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB91)) | v282(constB91) | v281(constB91))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB91)) | v282(constB91) | v281(constB91))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33425,plain,
% 80.35/52.23 ((v282(constB91) | v281(constB91) | (~v278(constB91))) <=> ((~v278(constB91)) | v282(constB91) | v281(constB91))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33426,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB91) | v281(constB91) | (~v278(constB91)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB91)) | v282(constB91) | v281(constB91)))),
% 80.35/52.23 inference(monotonicity,[status(thm)],[33425])).
% 80.35/52.23 tff(33427,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB91) | v281(constB91) | (~v278(constB91)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB91)) | v282(constB91) | v281(constB91))),
% 80.35/52.23 inference(transitivity,[status(thm)],[33426, 33424])).
% 80.35/52.23 tff(33428,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB91) | v281(constB91) | (~v278(constB91)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33429,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB91)) | v282(constB91) | v281(constB91)),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33428, 33427])).
% 80.35/52.23 tff(33430,plain,
% 80.35/52.23 ((~v278(constB91)) | v282(constB91)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33429, 12359, 33423])).
% 80.35/52.23 tff(33431,plain,
% 80.35/52.23 (~v278(constB91)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33430, 33419])).
% 80.35/52.23 tff(33432,plain,
% 80.35/52.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB91, constB92)) | v278(constB91) | (~v280(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB91, constB92)) | v278(constB91) | (~v280(constB92)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33433,plain,
% 80.35/52.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB91, constB92)) | v278(constB91) | (~v280(constB92)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33434,plain,
% 80.35/52.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB91, constB92)) | v278(constB91) | (~v280(constB92))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33433, 33432])).
% 80.35/52.23 tff(33435,plain,
% 80.35/52.23 (v278(constB91) | (~v280(constB92))),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33434, 12377, 10140])).
% 80.35/52.23 tff(33436,plain,
% 80.35/52.23 (~v280(constB92)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33435, 33431])).
% 80.35/52.23 tff(33437,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB92) | (~v281(constB92)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB92) | (~v281(constB92)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33438,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB92) | (~v281(constB92)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33439,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB92) | (~v281(constB92))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 80.35/52.23 tff(33440,plain,
% 80.35/52.23 (~v281(constB92)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33439, 12389, 33436])).
% 80.35/52.23 tff(33441,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB92) | (~v282(constB92)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB92) | (~v282(constB92)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33442,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB92) | (~v282(constB92)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33443,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB92) | (~v282(constB92))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 80.35/52.23 tff(33444,plain,
% 80.35/52.23 (~v282(constB92)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33443, 12400, 32758])).
% 80.35/52.23 tff(33445,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB92)) | v282(constB92) | v281(constB92))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB92)) | v282(constB92) | v281(constB92))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33446,plain,
% 80.35/52.23 ((v282(constB92) | v281(constB92) | (~v278(constB92))) <=> ((~v278(constB92)) | v282(constB92) | v281(constB92))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33447,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB92) | v281(constB92) | (~v278(constB92)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB92)) | v282(constB92) | v281(constB92)))),
% 80.35/52.23 inference(monotonicity,[status(thm)],[33446])).
% 80.35/52.23 tff(33448,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB92) | v281(constB92) | (~v278(constB92)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB92)) | v282(constB92) | v281(constB92))),
% 80.35/52.23 inference(transitivity,[status(thm)],[33447, 33445])).
% 80.35/52.23 tff(33449,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB92) | v281(constB92) | (~v278(constB92)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33450,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB92)) | v282(constB92) | v281(constB92)),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33449, 33448])).
% 80.35/52.23 tff(33451,plain,
% 80.35/52.23 ((~v278(constB92)) | v281(constB92)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33450, 12359, 33444])).
% 80.35/52.23 tff(33452,plain,
% 80.35/52.23 (~v278(constB92)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33451, 33440])).
% 80.35/52.23 tff(33453,plain,
% 80.35/52.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB92, constB93)) | v278(constB92) | (~v280(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB92, constB93)) | v278(constB92) | (~v280(constB93)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33454,plain,
% 80.35/52.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB92, constB93)) | v278(constB92) | (~v280(constB93)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33455,plain,
% 80.35/52.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB92, constB93)) | v278(constB92) | (~v280(constB93))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33454, 33453])).
% 80.35/52.23 tff(33456,plain,
% 80.35/52.23 (v278(constB92) | (~v280(constB93))),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33455, 12377, 10206])).
% 80.35/52.23 tff(33457,plain,
% 80.35/52.23 (~v280(constB93)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33456, 33452])).
% 80.35/52.23 tff(33458,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB93) | (~v309(constB93)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB93) | (~v309(constB93)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33459,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB93) | (~v309(constB93)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33460,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB93) | (~v309(constB93))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33459, 33458])).
% 80.35/52.23 tff(33461,plain,
% 80.35/52.23 (~v309(constB93)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33460, 12424, 33457])).
% 80.35/52.23 tff(33462,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB93) | v309(constB93) | (~v289(constB93)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB93) | v309(constB93) | (~v289(constB93)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33463,plain,
% 80.35/52.23 ((v309(constB93) | (~v289(constB93)) | v288(constB93)) <=> (v288(constB93) | v309(constB93) | (~v289(constB93)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33464,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB93) | (~v289(constB93)) | v288(constB93))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB93) | v309(constB93) | (~v289(constB93))))),
% 80.35/52.23 inference(monotonicity,[status(thm)],[33463])).
% 80.35/52.23 tff(33465,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB93) | (~v289(constB93)) | v288(constB93))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB93) | v309(constB93) | (~v289(constB93)))),
% 80.35/52.23 inference(transitivity,[status(thm)],[33464, 33462])).
% 80.35/52.23 tff(33466,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB93) | (~v289(constB93)) | v288(constB93))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33467,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB93) | v309(constB93) | (~v289(constB93))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33466, 33465])).
% 80.35/52.23 tff(33468,plain,
% 80.35/52.23 (v288(constB93) | (~v289(constB93))),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33467, 12438, 33461])).
% 80.35/52.23 tff(33469,plain,
% 80.35/52.23 (v288(constB93)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33468, 33113])).
% 80.35/52.23 tff(33470,plain,
% 80.35/52.23 ($false),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33469, 32656])).
% 80.35/52.23 tff(33471,plain,((~(constB93 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.35/52.23 tff(33472,plain,
% 80.35/52.23 (~(constB93 = sK0_VarCurr)),
% 80.35/52.23 inference(unit_resolution,[status(thm)],[33471, 1])).
% 80.35/52.23 tff(33473,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 80.35/52.23 tff(33474,plain,
% 80.35/52.23 (v288(constB61) <=> v288(sK0_VarCurr)),
% 80.35/52.23 inference(monotonicity,[status(thm)],[33473])).
% 80.35/52.23 tff(33475,plain,
% 80.35/52.23 (v288(sK0_VarCurr) <=> v288(constB61)),
% 80.35/52.23 inference(symmetry,[status(thm)],[33474])).
% 80.35/52.23 tff(33476,plain,
% 80.35/52.23 ((~v288(sK0_VarCurr)) <=> (~v288(constB61))),
% 80.35/52.23 inference(monotonicity,[status(thm)],[33475])).
% 80.35/52.23 tff(33477,plain,
% 80.35/52.23 (~v288(constB61)),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[1, 33476])).
% 80.35/52.23 tff(33478,plain,
% 80.35/52.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))),
% 80.35/52.23 inference(rewrite,[status(thm)],[])).
% 80.35/52.23 tff(33479,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))),
% 80.35/52.23 inference(quant_inst,[status(thm)],[])).
% 80.35/52.23 tff(33480,plain,
% 80.35/52.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0))),
% 80.35/52.23 inference(modus_ponens,[status(thm)],[33479, 33478])).
% 80.35/52.23 tff(33481,plain,
% 80.35/52.24 (~v88(constB61, bitIndex0)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33480, 10755, 6975])).
% 80.35/52.24 tff(33482,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33483,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33484,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2)),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33483, 33482])).
% 80.35/52.24 tff(33485,plain,
% 80.35/52.24 (v88(constB61, bitIndex2)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33484, 10735, 6910])).
% 80.35/52.24 tff(33486,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33487,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33488,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1)),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33487, 33486])).
% 80.35/52.24 tff(33489,plain,
% 80.35/52.24 (v88(constB61, bitIndex1)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33488, 10690, 6941])).
% 80.35/52.24 tff(33490,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v144(constB61))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33491,plain,
% 80.35/52.24 (((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61)) <=> (v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v144(constB61))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33492,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v144(constB61)))),
% 80.35/52.24 inference(monotonicity,[status(thm)],[33491])).
% 80.35/52.24 tff(33493,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v144(constB61))),
% 80.35/52.24 inference(transitivity,[status(thm)],[33492, 33490])).
% 80.35/52.24 tff(33494,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33495,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v144(constB61)),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33494, 33493])).
% 80.35/52.24 tff(33496,plain,
% 80.35/52.24 (v144(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33495, 10769, 33489, 33485, 33481])).
% 80.35/52.24 tff(33497,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB61) | (~v144(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33498,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB61) | (~v144(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33499,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB61) | (~v144(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 80.35/52.24 tff(33500,plain,
% 80.35/52.24 (v142(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33499, 10784, 33496])).
% 80.35/52.24 tff(33501,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33502,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33503,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33502, 33501])).
% 80.35/52.24 tff(33504,plain,
% 80.35/52.24 (v148(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33503, 10795, 33500])).
% 80.35/52.24 tff(33505,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB61) | (~v142(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33506,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB61) | (~v142(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33507,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB61) | (~v142(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 80.35/52.24 tff(33508,plain,
% 80.35/52.24 (v227(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33507, 10806, 33500])).
% 80.35/52.24 tff(33509,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB61) | (~v227(constB61)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB61) | (~v227(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33510,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB61) | (~v227(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33511,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB61) | (~v227(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33510, 33509])).
% 80.35/52.24 tff(33512,plain,
% 80.35/52.24 (v226(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33511, 10817, 33508])).
% 80.35/52.24 tff(33513,plain,
% 80.35/52.24 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB61) | (~v226(constB61)) | (~v148(constB61)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB61) | (~v226(constB61)) | (~v148(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33514,plain,
% 80.35/52.24 (((~v148(constB61)) | (~v226(constB61)) | v86(constB61)) <=> (v86(constB61) | (~v226(constB61)) | (~v148(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33515,plain,
% 80.35/52.24 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB61)) | (~v226(constB61)) | v86(constB61))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB61) | (~v226(constB61)) | (~v148(constB61))))),
% 80.35/52.24 inference(monotonicity,[status(thm)],[33514])).
% 80.35/52.24 tff(33516,plain,
% 80.35/52.24 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB61)) | (~v226(constB61)) | v86(constB61))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB61) | (~v226(constB61)) | (~v148(constB61)))),
% 80.35/52.24 inference(transitivity,[status(thm)],[33515, 33513])).
% 80.35/52.24 tff(33517,plain,
% 80.35/52.24 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB61)) | (~v226(constB61)) | v86(constB61))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33518,plain,
% 80.35/52.24 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB61) | (~v226(constB61)) | (~v148(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 80.35/52.24 tff(33519,plain,
% 80.35/52.24 (v86(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33518, 10831, 33512, 33504])).
% 80.35/52.24 tff(33520,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB61)) | (~v295(constB61)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB61)) | (~v295(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33521,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB61)) | (~v295(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33522,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB61)) | (~v295(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33521, 33520])).
% 80.35/52.24 tff(33523,plain,
% 80.35/52.24 (~v295(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33522, 10845, 33519])).
% 80.35/52.24 tff(33524,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB61) | (~v294(constB61)))) <=> ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB61) | (~v294(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33525,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB61) | (~v294(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33526,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB61) | (~v294(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33525, 33524])).
% 80.35/52.24 tff(33527,plain,
% 80.35/52.24 (~v294(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33526, 10856, 33523])).
% 80.35/52.24 tff(33528,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB61) | (~v307(constB61)))) <=> ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB61) | (~v307(constB61)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33529,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB61) | (~v307(constB61)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33530,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB61) | (~v307(constB61))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33529, 33528])).
% 80.35/52.24 tff(33531,plain,
% 80.35/52.24 (~v307(constB61)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33530, 10867, 33527])).
% 80.35/52.24 tff(33532,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33533,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33534,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2)),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33533, 33532])).
% 80.35/52.24 tff(33535,plain,
% 80.35/52.24 (v88(constB59, bitIndex2)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33534, 10735, 6734])).
% 80.35/52.24 tff(33536,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB59, bitIndex2)) | (~v140(constB59)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33537,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33538,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB59, bitIndex2)) | (~v140(constB59))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33537, 33536])).
% 80.35/52.24 tff(33539,plain,
% 80.35/52.24 (~v140(constB59)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33538, 10893, 33535])).
% 80.35/52.24 tff(33540,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33541,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33542,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0)),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33541, 33540])).
% 80.35/52.24 tff(33543,plain,
% 80.35/52.24 (v88(constB59, bitIndex0)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33542, 11313, 6799])).
% 80.35/52.24 tff(33544,plain,
% 80.35/52.24 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex0)) | (~v139(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB59, bitIndex0)) | (~v139(constB59)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33545,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex0)) | (~v139(constB59)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33546,plain,
% 80.35/52.24 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB59, bitIndex0)) | (~v139(constB59))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33545, 33544])).
% 80.35/52.24 tff(33547,plain,
% 80.35/52.24 (~v139(constB59)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33546, 11324, 33543])).
% 80.35/52.24 tff(33548,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v168(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33549,plain,
% 80.35/52.24 ((v140(constB59) | v139(constB59) | (~v168(constB59))) <=> (v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 80.35/52.24 inference(rewrite,[status(thm)],[])).
% 80.35/52.24 tff(33550,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v168(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v168(constB59))))),
% 80.35/52.24 inference(monotonicity,[status(thm)],[33549])).
% 80.35/52.24 tff(33551,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v168(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 80.35/52.24 inference(transitivity,[status(thm)],[33550, 33548])).
% 80.35/52.24 tff(33552,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v168(constB59)))),
% 80.35/52.24 inference(quant_inst,[status(thm)],[])).
% 80.35/52.24 tff(33553,plain,
% 80.35/52.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59))),
% 80.35/52.24 inference(modus_ponens,[status(thm)],[33552, 33551])).
% 80.35/52.24 tff(33554,plain,
% 80.35/52.24 (~v168(constB59)),
% 80.35/52.24 inference(unit_resolution,[status(thm)],[33553, 10907, 33547, 33539])).
% 80.35/52.24 tff(33555,plain,
% 80.35/52.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB59, bitIndex1) | (~v88(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB59, bitIndex1) | (~v88(constB59, bitIndex1)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33556,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB59, bitIndex1) | (~v88(constB59, bitIndex1)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33557,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB59, bitIndex1) | (~v88(constB59, bitIndex1))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 80.35/52.25 tff(33558,plain,
% 80.35/52.25 (~v88(constB59, bitIndex1)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33557, 10918, 6768])).
% 80.35/52.25 tff(33559,plain,
% 80.35/52.25 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | (~v88(constB59, bitIndex2)) | v147(constB59))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | (~v88(constB59, bitIndex2)) | v147(constB59))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33560,plain,
% 80.35/52.25 (((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59)) <=> (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | (~v88(constB59, bitIndex2)) | v147(constB59))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33561,plain,
% 80.35/52.25 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | (~v88(constB59, bitIndex2)) | v147(constB59)))),
% 80.35/52.25 inference(monotonicity,[status(thm)],[33560])).
% 80.35/52.25 tff(33562,plain,
% 80.35/52.25 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | (~v88(constB59, bitIndex2)) | v147(constB59))),
% 80.35/52.25 inference(transitivity,[status(thm)],[33561, 33559])).
% 80.35/52.25 tff(33563,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33564,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | (~v88(constB59, bitIndex2)) | v147(constB59)),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 80.35/52.25 tff(33565,plain,
% 80.35/52.25 (v147(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33564, 11353, 33543, 33535, 33558])).
% 80.35/52.25 tff(33566,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB59) | (~v147(constB59)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB59) | (~v147(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33567,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB59) | (~v147(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33568,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB59) | (~v147(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 80.35/52.25 tff(33569,plain,
% 80.35/52.25 (v145(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33568, 11368, 33565])).
% 80.35/52.25 tff(33570,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB59) | (~v145(constB59)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB59) | (~v145(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33571,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB59) | (~v145(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33572,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB59) | (~v145(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33571, 33570])).
% 80.35/52.25 tff(33573,plain,
% 80.35/52.25 (v226(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33572, 10961, 33569])).
% 80.35/52.25 tff(33574,plain,
% 80.35/52.25 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB59)) | v168(constB59) | (~v226(constB59)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v226(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33575,plain,
% 80.35/52.25 ((v168(constB59) | (~v226(constB59)) | (~v161(constB59))) <=> ((~v161(constB59)) | v168(constB59) | (~v226(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33576,plain,
% 80.35/52.25 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB59) | (~v226(constB59)) | (~v161(constB59)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB59)) | v168(constB59) | (~v226(constB59))))),
% 80.35/52.25 inference(monotonicity,[status(thm)],[33575])).
% 80.35/52.25 tff(33577,plain,
% 80.35/52.25 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB59) | (~v226(constB59)) | (~v161(constB59)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v226(constB59)))),
% 80.35/52.25 inference(transitivity,[status(thm)],[33576, 33574])).
% 80.35/52.25 tff(33578,plain,
% 80.35/52.25 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB59) | (~v226(constB59)) | (~v161(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33579,plain,
% 80.35/52.25 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v226(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 80.35/52.25 tff(33580,plain,
% 80.35/52.25 (~v161(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33579, 10975, 33573, 33554])).
% 80.35/52.25 tff(33581,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB59) | (~v187(constB59)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB59) | (~v187(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33582,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB59) | (~v187(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33583,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB59) | (~v187(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33582, 33581])).
% 80.35/52.25 tff(33584,plain,
% 80.35/52.25 (~v187(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33583, 10989, 33580])).
% 80.35/52.25 tff(33585,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33586,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33587,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33586, 33585])).
% 80.35/52.25 tff(33588,plain,
% 80.35/52.25 (~v185(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33587, 11000, 33584])).
% 80.35/52.25 tff(33589,assumption,(v18(constB60)), introduced(assumption)).
% 80.35/52.25 tff(33590,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB60))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33591,plain,
% 80.35/52.25 ($false),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33590, 70, 33589])).
% 80.35/52.25 tff(33592,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 80.35/52.25 tff(33593,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33594,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33595,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33594, 33593])).
% 80.35/52.25 tff(33596,plain,
% 80.35/52.25 (v22(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33595, 83, 6847])).
% 80.35/52.25 tff(33597,plain,
% 80.35/52.25 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33598,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33599,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60)),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33598, 33597])).
% 80.35/52.25 tff(33600,plain,
% 80.35/52.25 ((~v19(constB60)) | v18(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33599, 97, 33596])).
% 80.35/52.25 tff(33601,plain,
% 80.35/52.25 (~v19(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33600, 33592])).
% 80.35/52.25 tff(33602,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33603,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33604,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33603, 33602])).
% 80.35/52.25 tff(33605,plain,
% 80.35/52.25 (v13(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33604, 112, 33601])).
% 80.35/52.25 tff(33606,plain,
% 80.35/52.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33607,plain,
% 80.35/52.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33608,plain,
% 80.35/52.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59)),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33607, 33606])).
% 80.35/52.25 tff(33609,plain,
% 80.35/52.25 ((~v13(constB60)) | v9(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33608, 129, 6827])).
% 80.35/52.25 tff(33610,plain,
% 80.35/52.25 (v9(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33609, 33605])).
% 80.35/52.25 tff(33611,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v184(constB59))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB59) | (~v9(constB59)) | v184(constB59))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33612,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v184(constB59))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33613,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB59) | (~v9(constB59)) | v184(constB59)),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33612, 33611])).
% 80.35/52.25 tff(33614,plain,
% 80.35/52.25 ((~v9(constB59)) | v184(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33613, 11036, 6710])).
% 80.35/52.25 tff(33615,plain,
% 80.35/52.25 (v184(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33614, 33610])).
% 80.35/52.25 tff(33616,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB59) | (~v184(constB59)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB59) | (~v184(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33617,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB59) | (~v184(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33618,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB59) | (~v184(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 80.35/52.25 tff(33619,plain,
% 80.35/52.25 (v183(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33618, 11048, 33615])).
% 80.35/52.25 tff(33620,plain,
% 80.35/52.25 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB59)) | (~v181(constB59)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB59)) | (~v181(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33621,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB59)) | (~v181(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33622,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB59)) | (~v181(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33621, 33620])).
% 80.35/52.25 tff(33623,plain,
% 80.35/52.25 (~v181(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33622, 11059, 33619])).
% 80.35/52.25 tff(33624,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33625,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33626,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33625, 33624])).
% 80.35/52.25 tff(33627,plain,
% 80.35/52.25 (v185(constB59) | (~v178(constB59))),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33626, 11073, 33623])).
% 80.35/52.25 tff(33628,plain,
% 80.35/52.25 (~v178(constB59)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33627, 33588])).
% 80.35/52.25 tff(33629,plain,
% 80.35/52.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33630,plain,
% 80.35/52.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33631,plain,
% 80.35/52.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33630, 33629])).
% 80.35/52.25 tff(33632,plain,
% 80.35/52.25 (v178(constB59) | (~v180(constB60))),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33631, 11088, 6827])).
% 80.35/52.25 tff(33633,plain,
% 80.35/52.25 (~v180(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33632, 33628])).
% 80.35/52.25 tff(33634,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33635,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33636,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 80.35/52.25 tff(33637,plain,
% 80.35/52.25 (~v181(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33636, 11100, 33633])).
% 80.35/52.25 tff(33638,plain,
% 80.35/52.25 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33639,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33640,plain,
% 80.35/52.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33639, 33638])).
% 80.35/52.25 tff(33641,plain,
% 80.35/52.25 (~v184(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33640, 11111, 6847])).
% 80.35/52.25 tff(33642,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33643,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33644,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33643, 33642])).
% 80.35/52.25 tff(33645,plain,
% 80.35/52.25 (~v187(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33644, 11122, 33641])).
% 80.35/52.25 tff(33646,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33647,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33648,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 80.35/52.25 tff(33649,plain,
% 80.35/52.25 (~v185(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33648, 11000, 33645])).
% 80.35/52.25 tff(33650,plain,
% 80.35/52.25 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33651,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 80.35/52.25 inference(quant_inst,[status(thm)],[])).
% 80.35/52.25 tff(33652,plain,
% 80.35/52.25 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60))),
% 80.35/52.25 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 80.35/52.25 tff(33653,plain,
% 80.35/52.25 (v181(constB60) | (~v178(constB60))),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33652, 11073, 33649])).
% 80.35/52.25 tff(33654,plain,
% 80.35/52.25 (~v178(constB60)),
% 80.35/52.25 inference(unit_resolution,[status(thm)],[33653, 33637])).
% 80.35/52.25 tff(33655,plain,
% 80.35/52.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 80.35/52.25 inference(rewrite,[status(thm)],[])).
% 80.35/52.25 tff(33656,plain,
% 80.35/52.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 80.35/52.26 inference(quant_inst,[status(thm)],[])).
% 80.35/52.26 tff(33657,plain,
% 80.35/52.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61))),
% 80.35/52.26 inference(modus_ponens,[status(thm)],[33656, 33655])).
% 80.35/52.26 tff(33658,plain,
% 80.35/52.26 (v178(constB60) | (~v180(constB61))),
% 80.35/52.26 inference(unit_resolution,[status(thm)],[33657, 11088, 6889])).
% 80.35/52.26 tff(33659,plain,
% 80.35/52.26 (~v180(constB61)),
% 80.35/52.26 inference(unit_resolution,[status(thm)],[33658, 33654])).
% 80.35/52.26 tff(33660,plain,
% 80.35/52.26 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB61) | (~v293(constB61)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB61) | (~v293(constB61)))),
% 80.35/52.26 inference(rewrite,[status(thm)],[])).
% 80.35/52.26 tff(33661,plain,
% 80.35/52.26 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB61) | (~v293(constB61)))),
% 80.35/52.26 inference(quant_inst,[status(thm)],[])).
% 80.35/52.26 tff(33662,plain,
% 80.35/52.26 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB61) | (~v293(constB61))),
% 80.35/52.26 inference(modus_ponens,[status(thm)],[33661, 33660])).
% 80.35/52.26 tff(33663,plain,
% 80.35/52.26 (~v293(constB61)),
% 80.35/52.26 inference(unit_resolution,[status(thm)],[33662, 11437, 33659])).
% 80.35/52.26 tff(33664,plain,
% 80.35/52.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex2)) | v88(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex2)) | v88(constB57, bitIndex2))),
% 80.35/52.26 inference(rewrite,[status(thm)],[])).
% 80.35/52.26 tff(33665,plain,
% 80.35/52.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex2)) | v88(constB57, bitIndex2))),
% 80.35/52.26 inference(quant_inst,[status(thm)],[])).
% 80.35/52.26 tff(33666,plain,
% 80.35/52.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex2)) | v88(constB57, bitIndex2)),
% 80.35/52.26 inference(modus_ponens,[status(thm)],[33665, 33664])).
% 80.35/52.26 tff(33667,plain,
% 80.35/52.26 (v88(constB57, bitIndex2)),
% 80.35/52.26 inference(unit_resolution,[status(thm)],[33666, 10735, 6551])).
% 80.35/52.26 tff(33668,plain,
% 80.35/52.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v139(constB57)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v139(constB57)))),
% 80.35/52.26 inference(rewrite,[status(thm)],[])).
% 80.35/52.26 tff(33669,plain,
% 80.35/52.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v139(constB57)))),
% 80.35/52.26 inference(quant_inst,[status(thm)],[])).
% 80.35/52.26 tff(33670,plain,
% 80.35/52.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v139(constB57))),
% 80.35/52.26 inference(modus_ponens,[status(thm)],[33669, 33668])).
% 80.35/52.26 tff(33671,plain,
% 80.35/52.26 (~v139(constB57)),
% 80.35/52.26 inference(unit_resolution,[status(thm)],[33670, 10882, 33667])).
% 80.35/52.26 tff(33672,plain,
% 80.35/52.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v140(constB57)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v140(constB57)))),
% 80.35/52.26 inference(rewrite,[status(thm)],[])).
% 80.35/52.26 tff(33673,plain,
% 80.35/52.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v140(constB57)))),
% 80.35/52.26 inference(quant_inst,[status(thm)],[])).
% 80.35/52.26 tff(33674,plain,
% 80.35/52.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v140(constB57))),
% 80.35/52.26 inference(modus_ponens,[status(thm)],[33673, 33672])).
% 80.35/52.26 tff(33675,plain,
% 80.35/52.26 (~v140(constB57)),
% 80.35/52.26 inference(unit_resolution,[status(thm)],[33674, 10893, 33667])).
% 80.35/52.26 tff(33676,plain,
% 80.35/52.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB57) | v139(constB57) | (~v168(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33677,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33678,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB57) | v139(constB57) | (~v168(constB57))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 80.43/52.26 tff(33679,plain,
% 80.43/52.26 (~v168(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33678, 10907, 33675, 33671])).
% 80.43/52.26 tff(33680,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33681,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33682,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33681, 33680])).
% 80.43/52.26 tff(33683,plain,
% 80.43/52.26 (~v88(constB57, bitIndex1)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33682, 10918, 6585])).
% 80.43/52.26 tff(33684,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB57, bitIndex0) | (~v88(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB57, bitIndex0) | (~v88(constB57, bitIndex0)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33685,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB57, bitIndex0) | (~v88(constB57, bitIndex0)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33686,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB57, bitIndex0) | (~v88(constB57, bitIndex0))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33685, 33684])).
% 80.43/52.26 tff(33687,plain,
% 80.43/52.26 (~v88(constB57, bitIndex0)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33686, 10755, 6619])).
% 80.43/52.26 tff(33688,plain,
% 80.43/52.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v146(constB57))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v146(constB57))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33689,plain,
% 80.43/52.26 (((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57)) <=> (v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v146(constB57))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33690,plain,
% 80.43/52.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v146(constB57)))),
% 80.43/52.26 inference(monotonicity,[status(thm)],[33689])).
% 80.43/52.26 tff(33691,plain,
% 80.43/52.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v146(constB57))),
% 80.43/52.26 inference(transitivity,[status(thm)],[33690, 33688])).
% 80.43/52.26 tff(33692,plain,
% 80.43/52.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33693,plain,
% 80.43/52.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v146(constB57)),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33692, 33691])).
% 80.43/52.26 tff(33694,plain,
% 80.43/52.26 (v146(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33693, 10936, 33667, 33687, 33683])).
% 80.43/52.26 tff(33695,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB57) | (~v146(constB57)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB57) | (~v146(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33696,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB57) | (~v146(constB57)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33697,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB57) | (~v146(constB57))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33696, 33695])).
% 80.43/52.26 tff(33698,plain,
% 80.43/52.26 (v145(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33697, 10950, 33694])).
% 80.43/52.26 tff(33699,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB57) | (~v145(constB57)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB57) | (~v145(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33700,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB57) | (~v145(constB57)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33701,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB57) | (~v145(constB57))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 80.43/52.26 tff(33702,plain,
% 80.43/52.26 (v226(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33701, 10961, 33698])).
% 80.43/52.26 tff(33703,plain,
% 80.43/52.26 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB57)) | v168(constB57) | (~v226(constB57)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v226(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33704,plain,
% 80.43/52.26 ((v168(constB57) | (~v226(constB57)) | (~v161(constB57))) <=> ((~v161(constB57)) | v168(constB57) | (~v226(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33705,plain,
% 80.43/52.26 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB57) | (~v226(constB57)) | (~v161(constB57)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB57)) | v168(constB57) | (~v226(constB57))))),
% 80.43/52.26 inference(monotonicity,[status(thm)],[33704])).
% 80.43/52.26 tff(33706,plain,
% 80.43/52.26 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB57) | (~v226(constB57)) | (~v161(constB57)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v226(constB57)))),
% 80.43/52.26 inference(transitivity,[status(thm)],[33705, 33703])).
% 80.43/52.26 tff(33707,plain,
% 80.43/52.26 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB57) | (~v226(constB57)) | (~v161(constB57)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33708,plain,
% 80.43/52.26 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v226(constB57))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33707, 33706])).
% 80.43/52.26 tff(33709,plain,
% 80.43/52.26 (~v161(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33708, 10975, 33702, 33679])).
% 80.43/52.26 tff(33710,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB57) | (~v187(constB57)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB57) | (~v187(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33711,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB57) | (~v187(constB57)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33712,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB57) | (~v187(constB57))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33711, 33710])).
% 80.43/52.26 tff(33713,plain,
% 80.43/52.26 (~v187(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33712, 10989, 33709])).
% 80.43/52.26 tff(33714,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33715,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33716,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33715, 33714])).
% 80.43/52.26 tff(33717,plain,
% 80.43/52.26 (~v185(constB57)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33716, 11000, 33713])).
% 80.43/52.26 tff(33718,assumption,(v18(constB58)), introduced(assumption)).
% 80.43/52.26 tff(33719,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB58))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33720,plain,
% 80.43/52.26 ($false),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33719, 70, 33718])).
% 80.43/52.26 tff(33721,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 80.43/52.26 tff(33722,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33723,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33724,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 80.43/52.26 tff(33725,plain,
% 80.43/52.26 (v22(constB58)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33724, 83, 6671])).
% 80.43/52.26 tff(33726,plain,
% 80.43/52.26 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33727,plain,
% 80.43/52.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33728,plain,
% 80.43/52.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58)),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33727, 33726])).
% 80.43/52.26 tff(33729,plain,
% 80.43/52.26 ((~v19(constB58)) | v18(constB58)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33728, 97, 33725])).
% 80.43/52.26 tff(33730,plain,
% 80.43/52.26 (~v19(constB58)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33729, 33721])).
% 80.43/52.26 tff(33731,plain,
% 80.43/52.26 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 80.43/52.26 inference(rewrite,[status(thm)],[])).
% 80.43/52.26 tff(33732,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 80.43/52.26 inference(quant_inst,[status(thm)],[])).
% 80.43/52.26 tff(33733,plain,
% 80.43/52.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 80.43/52.26 inference(modus_ponens,[status(thm)],[33732, 33731])).
% 80.43/52.26 tff(33734,plain,
% 80.43/52.26 (v13(constB58)),
% 80.43/52.26 inference(unit_resolution,[status(thm)],[33733, 112, 33730])).
% 80.43/52.26 tff(33735,plain,
% 80.43/52.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33736,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33737,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57)),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 80.43/52.27 tff(33738,plain,
% 80.43/52.27 ((~v13(constB58)) | v9(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33737, 129, 6651])).
% 80.43/52.27 tff(33739,plain,
% 80.43/52.27 (v9(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33738, 33734])).
% 80.43/52.27 tff(33740,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33741,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33742,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57)),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33741, 33740])).
% 80.43/52.27 tff(33743,plain,
% 80.43/52.27 ((~v9(constB57)) | v184(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33742, 11036, 6527])).
% 80.43/52.27 tff(33744,plain,
% 80.43/52.27 (v184(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33743, 33739])).
% 80.43/52.27 tff(33745,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB57) | (~v184(constB57)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB57) | (~v184(constB57)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33746,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB57) | (~v184(constB57)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33747,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB57) | (~v184(constB57))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 80.43/52.27 tff(33748,plain,
% 80.43/52.27 (v183(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33747, 11048, 33744])).
% 80.43/52.27 tff(33749,plain,
% 80.43/52.27 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB57)) | (~v183(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB57)) | (~v183(constB57)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33750,plain,
% 80.43/52.27 (((~v183(constB57)) | (~v181(constB57))) <=> ((~v181(constB57)) | (~v183(constB57)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33751,plain,
% 80.43/52.27 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB57)) | (~v181(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB57)) | (~v183(constB57))))),
% 80.43/52.27 inference(monotonicity,[status(thm)],[33750])).
% 80.43/52.27 tff(33752,plain,
% 80.43/52.27 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB57)) | (~v181(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB57)) | (~v183(constB57)))),
% 80.43/52.27 inference(transitivity,[status(thm)],[33751, 33749])).
% 80.43/52.27 tff(33753,plain,
% 80.43/52.27 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB57)) | (~v181(constB57)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33754,plain,
% 80.43/52.27 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB57)) | (~v183(constB57))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33753, 33752])).
% 80.43/52.27 tff(33755,plain,
% 80.43/52.27 (~v181(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33754, 11059, 33748])).
% 80.43/52.27 tff(33756,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33757,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33758,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33757, 33756])).
% 80.43/52.27 tff(33759,plain,
% 80.43/52.27 (v185(constB57) | (~v178(constB57))),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33758, 11073, 33755])).
% 80.43/52.27 tff(33760,plain,
% 80.43/52.27 (~v178(constB57)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33759, 33717])).
% 80.43/52.27 tff(33761,plain,
% 80.43/52.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33762,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33763,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33762, 33761])).
% 80.43/52.27 tff(33764,plain,
% 80.43/52.27 (v178(constB57) | (~v180(constB58))),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33763, 11088, 6651])).
% 80.43/52.27 tff(33765,plain,
% 80.43/52.27 (~v180(constB58)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33764, 33760])).
% 80.43/52.27 tff(33766,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33767,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33768,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33767, 33766])).
% 80.43/52.27 tff(33769,plain,
% 80.43/52.27 (~v181(constB58)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33768, 11100, 33765])).
% 80.43/52.27 tff(33770,plain,
% 80.43/52.27 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33771,plain,
% 80.43/52.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33772,plain,
% 80.43/52.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33771, 33770])).
% 80.43/52.27 tff(33773,plain,
% 80.43/52.27 (~v184(constB58)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33772, 11111, 6671])).
% 80.43/52.27 tff(33774,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33775,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33776,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33775, 33774])).
% 80.43/52.27 tff(33777,plain,
% 80.43/52.27 (~v187(constB58)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33776, 11122, 33773])).
% 80.43/52.27 tff(33778,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33779,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33780,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33779, 33778])).
% 80.43/52.27 tff(33781,plain,
% 80.43/52.27 (~v185(constB58)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33780, 11000, 33777])).
% 80.43/52.27 tff(33782,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33783,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33784,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33783, 33782])).
% 80.43/52.27 tff(33785,plain,
% 80.43/52.27 (v181(constB58) | (~v178(constB58))),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33784, 11073, 33781])).
% 80.43/52.27 tff(33786,plain,
% 80.43/52.27 (~v178(constB58)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33785, 33769])).
% 80.43/52.27 tff(33787,plain,
% 80.43/52.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33788,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33789,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33788, 33787])).
% 80.43/52.27 tff(33790,plain,
% 80.43/52.27 (v178(constB58) | (~v180(constB59))),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33789, 11088, 6713])).
% 80.43/52.27 tff(33791,plain,
% 80.43/52.27 (~v180(constB59)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33790, 33786])).
% 80.43/52.27 tff(33792,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB59) | (~v215(constB59)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB59) | (~v215(constB59)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33793,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB59) | (~v215(constB59)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33794,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB59) | (~v215(constB59))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 80.43/52.27 tff(33795,plain,
% 80.43/52.27 (~v215(constB59)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33794, 11147, 33791])).
% 80.43/52.27 tff(33796,plain,
% 80.43/52.27 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB59)) | (~v214(constB59)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB59)) | (~v214(constB59)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33797,plain,
% 80.43/52.27 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB59)) | (~v214(constB59)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33798,plain,
% 80.43/52.27 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB59)) | (~v214(constB59))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33797, 33796])).
% 80.43/52.27 tff(33799,plain,
% 80.43/52.27 (~v214(constB59)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33798, 11189, 33619])).
% 80.43/52.27 tff(33800,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB59) | v215(constB59) | (~v211(constB59)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB59) | v215(constB59) | (~v211(constB59)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33801,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB59) | v215(constB59) | (~v211(constB59)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33802,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB59) | v215(constB59) | (~v211(constB59))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 80.43/52.27 tff(33803,plain,
% 80.43/52.27 (v215(constB59) | (~v211(constB59))),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33802, 11203, 33799])).
% 80.43/52.27 tff(33804,plain,
% 80.43/52.27 (~v211(constB59)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33803, 33795])).
% 80.43/52.27 tff(33805,plain,
% 80.43/52.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33806,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33807,plain,
% 80.43/52.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33806, 33805])).
% 80.43/52.27 tff(33808,plain,
% 80.43/52.27 (v211(constB59) | (~v213(constB60))),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33807, 11218, 6827])).
% 80.43/52.27 tff(33809,plain,
% 80.43/52.27 (~v213(constB60)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33808, 33804])).
% 80.43/52.27 tff(33810,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB60) | (~v214(constB60)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB60) | (~v214(constB60)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33811,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB60) | (~v214(constB60)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33812,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB60) | (~v214(constB60))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33811, 33810])).
% 80.43/52.27 tff(33813,plain,
% 80.43/52.27 (~v214(constB60)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33812, 11230, 33809])).
% 80.43/52.27 tff(33814,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB60) | (~v217(constB60)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB60) | (~v217(constB60)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33815,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB60) | (~v217(constB60)))),
% 80.43/52.27 inference(quant_inst,[status(thm)],[])).
% 80.43/52.27 tff(33816,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB60) | (~v217(constB60))),
% 80.43/52.27 inference(modus_ponens,[status(thm)],[33815, 33814])).
% 80.43/52.27 tff(33817,plain,
% 80.43/52.27 (~v217(constB60)),
% 80.43/52.27 inference(unit_resolution,[status(thm)],[33816, 11245, 33641])).
% 80.43/52.27 tff(33818,plain,
% 80.43/52.27 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB60) | (~v216(constB60)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB60) | (~v216(constB60)))),
% 80.43/52.27 inference(rewrite,[status(thm)],[])).
% 80.43/52.27 tff(33819,plain,
% 80.43/52.27 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB60) | (~v216(constB60)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33820,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB60) | (~v216(constB60))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33819, 33818])).
% 80.45/52.28 tff(33821,plain,
% 80.45/52.28 (~v216(constB60)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33820, 11256, 33817])).
% 80.45/52.28 tff(33822,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB60) | (~v215(constB60)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB60) | (~v215(constB60)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33823,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB60) | (~v215(constB60)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33824,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB60) | (~v215(constB60))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33823, 33822])).
% 80.45/52.28 tff(33825,plain,
% 80.45/52.28 (~v215(constB60)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33824, 11267, 33821])).
% 80.45/52.28 tff(33826,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB60) | v215(constB60) | (~v211(constB60)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB60) | v215(constB60) | (~v211(constB60)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33827,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB60) | v215(constB60) | (~v211(constB60)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33828,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB60) | v215(constB60) | (~v211(constB60))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33827, 33826])).
% 80.45/52.28 tff(33829,plain,
% 80.45/52.28 (v214(constB60) | (~v211(constB60))),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33828, 11203, 33825])).
% 80.45/52.28 tff(33830,plain,
% 80.45/52.28 (~v211(constB60)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33829, 33813])).
% 80.45/52.28 tff(33831,plain,
% 80.45/52.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33832,plain,
% 80.45/52.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33833,plain,
% 80.45/52.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33832, 33831])).
% 80.45/52.28 tff(33834,plain,
% 80.45/52.28 (v211(constB60) | (~v213(constB61))),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33833, 11218, 6889])).
% 80.45/52.28 tff(33835,plain,
% 80.45/52.28 (~v213(constB61)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33834, 33830])).
% 80.45/52.28 tff(33836,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB61) | (~v297(constB61)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB61) | (~v297(constB61)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33837,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB61) | (~v297(constB61)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33838,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB61) | (~v297(constB61))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33837, 33836])).
% 80.45/52.28 tff(33839,plain,
% 80.45/52.28 (~v297(constB61)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33838, 11288, 33835])).
% 80.45/52.28 tff(33840,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB61) | v297(constB61) | (~v292(constB61)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB61) | v297(constB61) | (~v292(constB61)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33841,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB61) | v297(constB61) | (~v292(constB61)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33842,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB61) | v297(constB61) | (~v292(constB61))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33841, 33840])).
% 80.45/52.28 tff(33843,plain,
% 80.45/52.28 (v293(constB61) | (~v292(constB61))),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33842, 11451, 33839])).
% 80.45/52.28 tff(33844,plain,
% 80.45/52.28 (~v292(constB61)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33843, 33663])).
% 80.45/52.28 tff(33845,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33846,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33847,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33846, 33845])).
% 80.45/52.28 tff(33848,plain,
% 80.45/52.28 (~v88(constB55, bitIndex2)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33847, 11467, 6370])).
% 80.45/52.28 tff(33849,plain,
% 80.45/52.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33850,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33851,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1)),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 80.45/52.28 tff(33852,plain,
% 80.45/52.28 (v88(constB55, bitIndex1)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33851, 10690, 6401])).
% 80.45/52.28 tff(33853,plain,
% 80.45/52.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33854,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33855,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0)),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33854, 33853])).
% 80.45/52.28 tff(33856,plain,
% 80.45/52.28 (v88(constB55, bitIndex0)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33855, 11313, 6432])).
% 80.45/52.28 tff(33857,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33858,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33859,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55)),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 80.45/52.28 tff(33860,plain,
% 80.45/52.28 (v141(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33859, 11485, 33856, 33852, 33848])).
% 80.45/52.28 tff(33861,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB55) | (~v141(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33862,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | (v228(constB55) | (~v141(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33863,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v228(VarCurr) | (~v141(VarCurr)))) | v228(constB55) | (~v141(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 80.45/52.28 tff(33864,plain,
% 80.45/52.28 (v228(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33863, 11500, 33860])).
% 80.45/52.28 tff(33865,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB55) | (~v228(constB55)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB55) | (~v228(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33866,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | (v227(constB55) | (~v228(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33867,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v227(VarCurr) | (~v228(VarCurr)))) | v227(constB55) | (~v228(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 80.45/52.28 tff(33868,plain,
% 80.45/52.28 (v227(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33867, 11511, 33864])).
% 80.45/52.28 tff(33869,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB55) | (~v227(constB55)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB55) | (~v227(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33870,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB55) | (~v227(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33871,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB55) | (~v227(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33870, 33869])).
% 80.45/52.28 tff(33872,plain,
% 80.45/52.28 (v226(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33871, 10817, 33868])).
% 80.45/52.28 tff(33873,plain,
% 80.45/52.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v140(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v140(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33874,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v140(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33875,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v140(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33874, 33873])).
% 80.45/52.28 tff(33876,plain,
% 80.45/52.28 (~v140(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33875, 11526, 33852])).
% 80.45/52.28 tff(33877,plain,
% 80.45/52.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB55, bitIndex0)) | (~v139(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB55, bitIndex0)) | (~v139(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33878,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB55, bitIndex0)) | (~v139(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33879,plain,
% 80.45/52.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB55, bitIndex0)) | (~v139(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33878, 33877])).
% 80.45/52.28 tff(33880,plain,
% 80.45/52.28 (~v139(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33879, 11324, 33856])).
% 80.45/52.28 tff(33881,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB55) | v139(constB55) | (~v168(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33882,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33883,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB55) | v139(constB55) | (~v168(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33882, 33881])).
% 80.45/52.28 tff(33884,plain,
% 80.45/52.28 (~v168(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33883, 10907, 33880, 33876])).
% 80.45/52.28 tff(33885,plain,
% 80.45/52.28 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB55)) | v168(constB55) | (~v226(constB55)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v226(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33886,plain,
% 80.45/52.28 ((v168(constB55) | (~v226(constB55)) | (~v161(constB55))) <=> ((~v161(constB55)) | v168(constB55) | (~v226(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33887,plain,
% 80.45/52.28 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB55) | (~v226(constB55)) | (~v161(constB55)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB55)) | v168(constB55) | (~v226(constB55))))),
% 80.45/52.28 inference(monotonicity,[status(thm)],[33886])).
% 80.45/52.28 tff(33888,plain,
% 80.45/52.28 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB55) | (~v226(constB55)) | (~v161(constB55)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v226(constB55)))),
% 80.45/52.28 inference(transitivity,[status(thm)],[33887, 33885])).
% 80.45/52.28 tff(33889,plain,
% 80.45/52.28 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB55) | (~v226(constB55)) | (~v161(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33890,plain,
% 80.45/52.28 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v226(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33889, 33888])).
% 80.45/52.28 tff(33891,plain,
% 80.45/52.28 ((~v161(constB55)) | (~v226(constB55))),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33890, 10975, 33884])).
% 80.45/52.28 tff(33892,plain,
% 80.45/52.28 (~v161(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33891, 33872])).
% 80.45/52.28 tff(33893,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB55) | (~v187(constB55)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB55) | (~v187(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33894,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB55) | (~v187(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33895,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB55) | (~v187(constB55))),
% 80.45/52.28 inference(modus_ponens,[status(thm)],[33894, 33893])).
% 80.45/52.28 tff(33896,plain,
% 80.45/52.28 (~v187(constB55)),
% 80.45/52.28 inference(unit_resolution,[status(thm)],[33895, 10989, 33892])).
% 80.45/52.28 tff(33897,plain,
% 80.45/52.28 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB55) | (~v185(constB55)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB55) | (~v185(constB55)))),
% 80.45/52.28 inference(rewrite,[status(thm)],[])).
% 80.45/52.28 tff(33898,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB55) | (~v185(constB55)))),
% 80.45/52.28 inference(quant_inst,[status(thm)],[])).
% 80.45/52.28 tff(33899,plain,
% 80.45/52.28 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB55) | (~v185(constB55))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33898, 33897])).
% 80.45/52.29 tff(33900,plain,
% 80.45/52.29 (~v185(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33899, 11000, 33896])).
% 80.45/52.29 tff(33901,assumption,(v18(constB56)), introduced(assumption)).
% 80.45/52.29 tff(33902,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB56))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33903,plain,
% 80.45/52.29 ($false),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33902, 70, 33901])).
% 80.45/52.29 tff(33904,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 80.45/52.29 tff(33905,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33906,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33907,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33906, 33905])).
% 80.45/52.29 tff(33908,plain,
% 80.45/52.29 (v22(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33907, 83, 6488])).
% 80.45/52.29 tff(33909,plain,
% 80.45/52.29 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB56)) | (~v22(constB56)) | v18(constB56))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB56)) | (~v22(constB56)) | v18(constB56))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33910,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB56)) | (~v22(constB56)) | v18(constB56))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33911,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB56)) | (~v22(constB56)) | v18(constB56)),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 80.45/52.29 tff(33912,plain,
% 80.45/52.29 ((~v19(constB56)) | v18(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33911, 97, 33908])).
% 80.45/52.29 tff(33913,plain,
% 80.45/52.29 (~v19(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33912, 33904])).
% 80.45/52.29 tff(33914,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33915,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33916,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33915, 33914])).
% 80.45/52.29 tff(33917,plain,
% 80.45/52.29 (v13(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33916, 112, 33913])).
% 80.45/52.29 tff(33918,plain,
% 80.45/52.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33919,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33920,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55)),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 80.45/52.29 tff(33921,plain,
% 80.45/52.29 ((~v13(constB56)) | v9(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33920, 129, 6468])).
% 80.45/52.29 tff(33922,plain,
% 80.45/52.29 (v9(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33921, 33917])).
% 80.45/52.29 tff(33923,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v184(constB55))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB55) | (~v9(constB55)) | v184(constB55))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33924,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v184(constB55))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33925,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB55) | (~v9(constB55)) | v184(constB55)),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33924, 33923])).
% 80.45/52.29 tff(33926,plain,
% 80.45/52.29 ((~v9(constB55)) | v184(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33925, 11036, 6346])).
% 80.45/52.29 tff(33927,plain,
% 80.45/52.29 (v184(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33926, 33922])).
% 80.45/52.29 tff(33928,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB55) | (~v184(constB55)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB55) | (~v184(constB55)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33929,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB55) | (~v184(constB55)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33930,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB55) | (~v184(constB55))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33929, 33928])).
% 80.45/52.29 tff(33931,plain,
% 80.45/52.29 (v183(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33930, 11048, 33927])).
% 80.45/52.29 tff(33932,plain,
% 80.45/52.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB55)) | (~v183(constB55)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB55)) | (~v183(constB55)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33933,plain,
% 80.45/52.29 (((~v183(constB55)) | (~v181(constB55))) <=> ((~v181(constB55)) | (~v183(constB55)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33934,plain,
% 80.45/52.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB55)) | (~v181(constB55)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB55)) | (~v183(constB55))))),
% 80.45/52.29 inference(monotonicity,[status(thm)],[33933])).
% 80.45/52.29 tff(33935,plain,
% 80.45/52.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB55)) | (~v181(constB55)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB55)) | (~v183(constB55)))),
% 80.45/52.29 inference(transitivity,[status(thm)],[33934, 33932])).
% 80.45/52.29 tff(33936,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB55)) | (~v181(constB55)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33937,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB55)) | (~v183(constB55))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33936, 33935])).
% 80.45/52.29 tff(33938,plain,
% 80.45/52.29 (~v181(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33937, 11059, 33931])).
% 80.45/52.29 tff(33939,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB55) | v185(constB55) | (~v178(constB55)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB55) | v185(constB55) | (~v178(constB55)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33940,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB55) | v185(constB55) | (~v178(constB55)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33941,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB55) | v185(constB55) | (~v178(constB55))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 80.45/52.29 tff(33942,plain,
% 80.45/52.29 (v185(constB55) | (~v178(constB55))),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33941, 11073, 33938])).
% 80.45/52.29 tff(33943,plain,
% 80.45/52.29 (~v178(constB55)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33942, 33900])).
% 80.45/52.29 tff(33944,plain,
% 80.45/52.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33945,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33946,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33945, 33944])).
% 80.45/52.29 tff(33947,plain,
% 80.45/52.29 (v178(constB55) | (~v180(constB56))),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33946, 11088, 6468])).
% 80.45/52.29 tff(33948,plain,
% 80.45/52.29 (~v180(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33947, 33943])).
% 80.45/52.29 tff(33949,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB56) | (~v181(constB56)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB56) | (~v181(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33950,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB56) | (~v181(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33951,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB56) | (~v181(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33950, 33949])).
% 80.45/52.29 tff(33952,plain,
% 80.45/52.29 (~v181(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33951, 11100, 33948])).
% 80.45/52.29 tff(33953,plain,
% 80.45/52.29 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB56)) | (~v184(constB56)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB56)) | (~v184(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33954,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB56)) | (~v184(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33955,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB56)) | (~v184(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33954, 33953])).
% 80.45/52.29 tff(33956,plain,
% 80.45/52.29 (~v184(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33955, 11111, 6488])).
% 80.45/52.29 tff(33957,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB56) | (~v187(constB56)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB56) | (~v187(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33958,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB56) | (~v187(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33959,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB56) | (~v187(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 80.45/52.29 tff(33960,plain,
% 80.45/52.29 (~v187(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33959, 11122, 33956])).
% 80.45/52.29 tff(33961,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB56) | (~v185(constB56)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB56) | (~v185(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33962,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB56) | (~v185(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33963,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB56) | (~v185(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33962, 33961])).
% 80.45/52.29 tff(33964,plain,
% 80.45/52.29 (~v185(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33963, 11000, 33960])).
% 80.45/52.29 tff(33965,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB56) | v185(constB56) | (~v178(constB56)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB56) | v185(constB56) | (~v178(constB56)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33966,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB56) | v185(constB56) | (~v178(constB56)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33967,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB56) | v185(constB56) | (~v178(constB56))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33966, 33965])).
% 80.45/52.29 tff(33968,plain,
% 80.45/52.29 (v181(constB56) | (~v178(constB56))),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33967, 11073, 33964])).
% 80.45/52.29 tff(33969,plain,
% 80.45/52.29 (~v178(constB56)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33968, 33952])).
% 80.45/52.29 tff(33970,plain,
% 80.45/52.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33971,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33972,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33971, 33970])).
% 80.45/52.29 tff(33973,plain,
% 80.45/52.29 (v178(constB56) | (~v180(constB57))),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33972, 11088, 6530])).
% 80.45/52.29 tff(33974,plain,
% 80.45/52.29 (~v180(constB57)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33973, 33969])).
% 80.45/52.29 tff(33975,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB57) | (~v215(constB57)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB57) | (~v215(constB57)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33976,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB57) | (~v215(constB57)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33977,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB57) | (~v215(constB57))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 80.45/52.29 tff(33978,plain,
% 80.45/52.29 (~v215(constB57)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33977, 11147, 33974])).
% 80.45/52.29 tff(33979,plain,
% 80.45/52.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB57)) | (~v214(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB57)) | (~v214(constB57)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33980,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB57)) | (~v214(constB57)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33981,plain,
% 80.45/52.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB57)) | (~v214(constB57))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 80.45/52.29 tff(33982,plain,
% 80.45/52.29 (~v214(constB57)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33981, 11189, 33748])).
% 80.45/52.29 tff(33983,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB57) | v215(constB57) | (~v211(constB57)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB57) | v215(constB57) | (~v211(constB57)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33984,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB57) | v215(constB57) | (~v211(constB57)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33985,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB57) | v215(constB57) | (~v211(constB57))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 80.45/52.29 tff(33986,plain,
% 80.45/52.29 (v215(constB57) | (~v211(constB57))),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33985, 11203, 33982])).
% 80.45/52.29 tff(33987,plain,
% 80.45/52.29 (~v211(constB57)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33986, 33978])).
% 80.45/52.29 tff(33988,plain,
% 80.45/52.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33989,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33990,plain,
% 80.45/52.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33989, 33988])).
% 80.45/52.29 tff(33991,plain,
% 80.45/52.29 (v211(constB57) | (~v213(constB58))),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33990, 11218, 6651])).
% 80.45/52.29 tff(33992,plain,
% 80.45/52.29 (~v213(constB58)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33991, 33987])).
% 80.45/52.29 tff(33993,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB58) | (~v214(constB58)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB58) | (~v214(constB58)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33994,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB58) | (~v214(constB58)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33995,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB58) | (~v214(constB58))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33994, 33993])).
% 80.45/52.29 tff(33996,plain,
% 80.45/52.29 (~v214(constB58)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33995, 11230, 33992])).
% 80.45/52.29 tff(33997,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB58) | (~v217(constB58)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB58) | (~v217(constB58)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(33998,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB58) | (~v217(constB58)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(33999,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB58) | (~v217(constB58))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[33998, 33997])).
% 80.45/52.29 tff(34000,plain,
% 80.45/52.29 (~v217(constB58)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[33999, 11245, 33773])).
% 80.45/52.29 tff(34001,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB58) | (~v216(constB58)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB58) | (~v216(constB58)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(34002,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB58) | (~v216(constB58)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(34003,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB58) | (~v216(constB58))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[34002, 34001])).
% 80.45/52.29 tff(34004,plain,
% 80.45/52.29 (~v216(constB58)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[34003, 11256, 34000])).
% 80.45/52.29 tff(34005,plain,
% 80.45/52.29 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB58) | (~v215(constB58)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB58) | (~v215(constB58)))),
% 80.45/52.29 inference(rewrite,[status(thm)],[])).
% 80.45/52.29 tff(34006,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB58) | (~v215(constB58)))),
% 80.45/52.29 inference(quant_inst,[status(thm)],[])).
% 80.45/52.29 tff(34007,plain,
% 80.45/52.29 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB58) | (~v215(constB58))),
% 80.45/52.29 inference(modus_ponens,[status(thm)],[34006, 34005])).
% 80.45/52.29 tff(34008,plain,
% 80.45/52.29 (~v215(constB58)),
% 80.45/52.29 inference(unit_resolution,[status(thm)],[34007, 11267, 34004])).
% 80.45/52.30 tff(34009,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB58) | v215(constB58) | (~v211(constB58)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB58) | v215(constB58) | (~v211(constB58)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34010,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB58) | v215(constB58) | (~v211(constB58)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34011,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB58) | v215(constB58) | (~v211(constB58))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34010, 34009])).
% 80.45/52.30 tff(34012,plain,
% 80.45/52.30 (v214(constB58) | (~v211(constB58))),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34011, 11203, 34008])).
% 80.45/52.30 tff(34013,plain,
% 80.45/52.30 (~v211(constB58)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34012, 33996])).
% 80.45/52.30 tff(34014,plain,
% 80.45/52.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34015,plain,
% 80.45/52.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34016,plain,
% 80.45/52.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34015, 34014])).
% 80.45/52.30 tff(34017,plain,
% 80.45/52.30 (v211(constB58) | (~v213(constB59))),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34016, 11218, 6713])).
% 80.45/52.30 tff(34018,plain,
% 80.45/52.30 (~v213(constB59)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34017, 34013])).
% 80.45/52.30 tff(34019,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB59) | (~v245(constB59)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB59) | (~v245(constB59)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34020,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB59) | (~v245(constB59)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34021,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB59) | (~v245(constB59))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 80.45/52.30 tff(34022,plain,
% 80.45/52.30 (~v245(constB59)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34021, 11683, 34018])).
% 80.45/52.30 tff(34023,plain,
% 80.45/52.30 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB59)) | (~v244(constB59)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB59)) | (~v244(constB59)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34024,plain,
% 80.45/52.30 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB59)) | (~v244(constB59)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34025,plain,
% 80.45/52.30 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB59)) | (~v244(constB59))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34024, 34023])).
% 80.45/52.30 tff(34026,plain,
% 80.45/52.30 (~v244(constB59)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34025, 11694, 33619])).
% 80.45/52.30 tff(34027,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB59) | v245(constB59) | (~v241(constB59)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB59) | v245(constB59) | (~v241(constB59)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34028,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB59) | v245(constB59) | (~v241(constB59)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34029,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB59) | v245(constB59) | (~v241(constB59))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34028, 34027])).
% 80.45/52.30 tff(34030,plain,
% 80.45/52.30 (v245(constB59) | (~v241(constB59))),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34029, 11708, 34026])).
% 80.45/52.30 tff(34031,plain,
% 80.45/52.30 (~v241(constB59)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34030, 34022])).
% 80.45/52.30 tff(34032,plain,
% 80.45/52.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB59, constB60)) | v241(constB59) | (~v243(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB59, constB60)) | v241(constB59) | (~v243(constB60)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34033,plain,
% 80.45/52.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB59, constB60)) | v241(constB59) | (~v243(constB60)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34034,plain,
% 80.45/52.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB59, constB60)) | v241(constB59) | (~v243(constB60))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 80.45/52.30 tff(34035,plain,
% 80.45/52.30 (v241(constB59) | (~v243(constB60))),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34034, 11723, 6827])).
% 80.45/52.30 tff(34036,plain,
% 80.45/52.30 (~v243(constB60)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34035, 34031])).
% 80.45/52.30 tff(34037,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB60) | (~v244(constB60)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB60) | (~v244(constB60)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34038,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB60) | (~v244(constB60)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34039,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB60) | (~v244(constB60))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34038, 34037])).
% 80.45/52.30 tff(34040,plain,
% 80.45/52.30 (~v244(constB60)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34039, 11735, 34036])).
% 80.45/52.30 tff(34041,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB60) | (~v247(constB60)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB60) | (~v247(constB60)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34042,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB60) | (~v247(constB60)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34043,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB60) | (~v247(constB60))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34042, 34041])).
% 80.45/52.30 tff(34044,plain,
% 80.45/52.30 (~v247(constB60)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34043, 11746, 33641])).
% 80.45/52.30 tff(34045,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB60) | (~v246(constB60)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB60) | (~v246(constB60)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34046,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB60) | (~v246(constB60)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34047,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB60) | (~v246(constB60))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 80.45/52.30 tff(34048,plain,
% 80.45/52.30 (~v246(constB60)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34047, 11757, 34044])).
% 80.45/52.30 tff(34049,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB60) | (~v245(constB60)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB60) | (~v245(constB60)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34050,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB60) | (~v245(constB60)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34051,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB60) | (~v245(constB60))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34050, 34049])).
% 80.45/52.30 tff(34052,plain,
% 80.45/52.30 (~v245(constB60)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34051, 11768, 34048])).
% 80.45/52.30 tff(34053,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB60) | v245(constB60) | (~v241(constB60)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB60) | v245(constB60) | (~v241(constB60)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34054,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB60) | v245(constB60) | (~v241(constB60)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34055,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB60) | v245(constB60) | (~v241(constB60))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34054, 34053])).
% 80.45/52.30 tff(34056,plain,
% 80.45/52.30 (v244(constB60) | (~v241(constB60))),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34055, 11708, 34052])).
% 80.45/52.30 tff(34057,plain,
% 80.45/52.30 (~v241(constB60)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34056, 34040])).
% 80.45/52.30 tff(34058,plain,
% 80.45/52.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB60, constB61)) | v241(constB60) | (~v243(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB60, constB61)) | v241(constB60) | (~v243(constB61)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34059,plain,
% 80.45/52.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB60, constB61)) | v241(constB60) | (~v243(constB61)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34060,plain,
% 80.45/52.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB60, constB61)) | v241(constB60) | (~v243(constB61))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34059, 34058])).
% 80.45/52.30 tff(34061,plain,
% 80.45/52.30 (v241(constB60) | (~v243(constB61))),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34060, 11723, 6889])).
% 80.45/52.30 tff(34062,plain,
% 80.45/52.30 (~v243(constB61)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34061, 34057])).
% 80.45/52.30 tff(34063,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB61) | (~v302(constB61)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB61) | (~v302(constB61)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34064,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB61) | (~v302(constB61)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34065,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB61) | (~v302(constB61))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 80.45/52.30 tff(34066,plain,
% 80.45/52.30 (~v302(constB61)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34065, 11789, 34062])).
% 80.45/52.30 tff(34067,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB61) | v302(constB61) | v292(constB61))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB61) | v302(constB61) | v292(constB61))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34068,plain,
% 80.45/52.30 ((v292(constB61) | v302(constB61) | v290(constB61)) <=> (v290(constB61) | v302(constB61) | v292(constB61))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34069,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB61) | v302(constB61) | v290(constB61))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB61) | v302(constB61) | v292(constB61)))),
% 80.45/52.30 inference(monotonicity,[status(thm)],[34068])).
% 80.45/52.30 tff(34070,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB61) | v302(constB61) | v290(constB61))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB61) | v302(constB61) | v292(constB61))),
% 80.45/52.30 inference(transitivity,[status(thm)],[34069, 34067])).
% 80.45/52.30 tff(34071,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB61) | v302(constB61) | v290(constB61))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34072,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB61) | v302(constB61) | v292(constB61)),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34071, 34070])).
% 80.45/52.30 tff(34073,plain,
% 80.45/52.30 (v290(constB61) | v292(constB61)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34072, 11803, 34066])).
% 80.45/52.30 tff(34074,plain,
% 80.45/52.30 (v290(constB61)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34073, 33844])).
% 80.45/52.30 tff(34075,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB61) | (~v290(constB61)) | v289(constB61))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB61) | (~v290(constB61)) | v289(constB61))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34076,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB61) | (~v290(constB61)) | v289(constB61))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34077,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB61) | (~v290(constB61)) | v289(constB61)),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34076, 34075])).
% 80.45/52.30 tff(34078,plain,
% 80.45/52.30 (v307(constB61) | v289(constB61)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34077, 11821, 34074])).
% 80.45/52.30 tff(34079,plain,
% 80.45/52.30 (v289(constB61)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34078, 33531])).
% 80.45/52.30 tff(34080,plain,
% 80.45/52.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34081,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34082,plain,
% 80.45/52.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0))),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34081, 34080])).
% 80.45/52.30 tff(34083,plain,
% 80.45/52.30 (~v88(constB49, bitIndex0)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34082, 10755, 5817])).
% 80.45/52.30 tff(34084,plain,
% 80.45/52.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34085,plain,
% 80.45/52.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34086,plain,
% 80.45/52.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2)),
% 80.45/52.30 inference(modus_ponens,[status(thm)],[34085, 34084])).
% 80.45/52.30 tff(34087,plain,
% 80.45/52.30 (v88(constB49, bitIndex2)),
% 80.45/52.30 inference(unit_resolution,[status(thm)],[34086, 10735, 5752])).
% 80.45/52.30 tff(34088,plain,
% 80.45/52.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 80.45/52.30 inference(rewrite,[status(thm)],[])).
% 80.45/52.30 tff(34089,plain,
% 80.45/52.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 80.45/52.30 inference(quant_inst,[status(thm)],[])).
% 80.45/52.30 tff(34090,plain,
% 80.45/52.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1)),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34089, 34088])).
% 80.45/52.31 tff(34091,plain,
% 80.45/52.31 (v88(constB49, bitIndex1)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34090, 10690, 5783])).
% 80.45/52.31 tff(34092,plain,
% 80.45/52.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v144(constB49))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v144(constB49))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34093,plain,
% 80.45/52.31 (((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49)) <=> (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v144(constB49))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34094,plain,
% 80.45/52.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v144(constB49)))),
% 80.45/52.31 inference(monotonicity,[status(thm)],[34093])).
% 80.45/52.31 tff(34095,plain,
% 80.45/52.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v144(constB49))),
% 80.45/52.31 inference(transitivity,[status(thm)],[34094, 34092])).
% 80.45/52.31 tff(34096,plain,
% 80.45/52.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34097,plain,
% 80.45/52.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v144(constB49)),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34096, 34095])).
% 80.45/52.31 tff(34098,plain,
% 80.45/52.31 (v144(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34097, 10769, 34091, 34087, 34083])).
% 80.45/52.31 tff(34099,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB49) | (~v144(constB49)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB49) | (~v144(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34100,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB49) | (~v144(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34101,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB49) | (~v144(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34100, 34099])).
% 80.45/52.31 tff(34102,plain,
% 80.45/52.31 (v142(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34101, 10784, 34098])).
% 80.45/52.31 tff(34103,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB49) | (~v142(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34104,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB49) | (~v142(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34105,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB49) | (~v142(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34104, 34103])).
% 80.45/52.31 tff(34106,plain,
% 80.45/52.31 (v227(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34105, 10806, 34102])).
% 80.45/52.31 tff(34107,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB49) | (~v227(constB49)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB49) | (~v227(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34108,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB49) | (~v227(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34109,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB49) | (~v227(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34108, 34107])).
% 80.45/52.31 tff(34110,plain,
% 80.45/52.31 (v226(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34109, 10817, 34106])).
% 80.45/52.31 tff(34111,plain,
% 80.45/52.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v139(constB49)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v139(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34112,plain,
% 80.45/52.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v139(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34113,plain,
% 80.45/52.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v139(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34112, 34111])).
% 80.45/52.31 tff(34114,plain,
% 80.45/52.31 (~v139(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34113, 11863, 34091])).
% 80.45/52.31 tff(34115,plain,
% 80.45/52.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v140(constB49)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v140(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34116,plain,
% 80.45/52.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v140(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34117,plain,
% 80.45/52.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v140(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34116, 34115])).
% 80.45/52.31 tff(34118,plain,
% 80.45/52.31 (~v140(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34117, 11526, 34091])).
% 80.45/52.31 tff(34119,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB49) | v139(constB49) | (~v168(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34120,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34121,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB49) | v139(constB49) | (~v168(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34120, 34119])).
% 80.45/52.31 tff(34122,plain,
% 80.45/52.31 (~v168(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34121, 10907, 34118, 34114])).
% 80.45/52.31 tff(34123,plain,
% 80.45/52.31 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB49)) | v168(constB49) | (~v226(constB49)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v226(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34124,plain,
% 80.45/52.31 ((v168(constB49) | (~v226(constB49)) | (~v161(constB49))) <=> ((~v161(constB49)) | v168(constB49) | (~v226(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34125,plain,
% 80.45/52.31 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB49) | (~v226(constB49)) | (~v161(constB49)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB49)) | v168(constB49) | (~v226(constB49))))),
% 80.45/52.31 inference(monotonicity,[status(thm)],[34124])).
% 80.45/52.31 tff(34126,plain,
% 80.45/52.31 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB49) | (~v226(constB49)) | (~v161(constB49)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v226(constB49)))),
% 80.45/52.31 inference(transitivity,[status(thm)],[34125, 34123])).
% 80.45/52.31 tff(34127,plain,
% 80.45/52.31 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB49) | (~v226(constB49)) | (~v161(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34128,plain,
% 80.45/52.31 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v226(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 80.45/52.31 tff(34129,plain,
% 80.45/52.31 ((~v161(constB49)) | (~v226(constB49))),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34128, 10975, 34122])).
% 80.45/52.31 tff(34130,plain,
% 80.45/52.31 (~v161(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34129, 34110])).
% 80.45/52.31 tff(34131,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB49) | (~v187(constB49)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB49) | (~v187(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34132,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB49) | (~v187(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34133,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB49) | (~v187(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34132, 34131])).
% 80.45/52.31 tff(34134,plain,
% 80.45/52.31 (~v187(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34133, 10989, 34130])).
% 80.45/52.31 tff(34135,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB49) | (~v185(constB49)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB49) | (~v185(constB49)))),
% 80.45/52.31 inference(rewrite,[status(thm)],[])).
% 80.45/52.31 tff(34136,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB49) | (~v185(constB49)))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34137,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB49) | (~v185(constB49))),
% 80.45/52.31 inference(modus_ponens,[status(thm)],[34136, 34135])).
% 80.45/52.31 tff(34138,plain,
% 80.45/52.31 (~v185(constB49)),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34137, 11000, 34134])).
% 80.45/52.31 tff(34139,assumption,(v18(constB50)), introduced(assumption)).
% 80.45/52.31 tff(34140,plain,
% 80.45/52.31 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB50))),
% 80.45/52.31 inference(quant_inst,[status(thm)],[])).
% 80.45/52.31 tff(34141,plain,
% 80.45/52.31 ($false),
% 80.45/52.31 inference(unit_resolution,[status(thm)],[34140, 70, 34139])).
% 80.45/52.31 tff(34142,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 80.45/52.31 tff(34143,plain,
% 80.45/52.31 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 80.48/52.31 inference(rewrite,[status(thm)],[])).
% 80.48/52.31 tff(34144,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 80.48/52.31 inference(quant_inst,[status(thm)],[])).
% 80.48/52.31 tff(34145,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 80.48/52.31 inference(modus_ponens,[status(thm)],[34144, 34143])).
% 80.48/52.31 tff(34146,plain,
% 80.48/52.31 (v22(constB50)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34145, 83, 5861])).
% 80.48/52.31 tff(34147,plain,
% 80.48/52.31 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 80.48/52.31 inference(rewrite,[status(thm)],[])).
% 80.48/52.31 tff(34148,plain,
% 80.48/52.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 80.48/52.31 inference(quant_inst,[status(thm)],[])).
% 80.48/52.31 tff(34149,plain,
% 80.48/52.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50)),
% 80.48/52.31 inference(modus_ponens,[status(thm)],[34148, 34147])).
% 80.48/52.31 tff(34150,plain,
% 80.48/52.31 ((~v19(constB50)) | v18(constB50)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34149, 97, 34146])).
% 80.48/52.31 tff(34151,plain,
% 80.48/52.31 (~v19(constB50)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34150, 34142])).
% 80.48/52.31 tff(34152,plain,
% 80.48/52.31 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 80.48/52.31 inference(rewrite,[status(thm)],[])).
% 80.48/52.31 tff(34153,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 80.48/52.31 inference(quant_inst,[status(thm)],[])).
% 80.48/52.31 tff(34154,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 80.48/52.31 inference(modus_ponens,[status(thm)],[34153, 34152])).
% 80.48/52.31 tff(34155,plain,
% 80.48/52.31 (v13(constB50)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34154, 112, 34151])).
% 80.48/52.31 tff(34156,plain,
% 80.48/52.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 80.48/52.31 inference(rewrite,[status(thm)],[])).
% 80.48/52.31 tff(34157,plain,
% 80.48/52.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 80.48/52.31 inference(quant_inst,[status(thm)],[])).
% 80.48/52.31 tff(34158,plain,
% 80.48/52.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49)),
% 80.48/52.31 inference(modus_ponens,[status(thm)],[34157, 34156])).
% 80.48/52.31 tff(34159,plain,
% 80.48/52.31 ((~v13(constB50)) | v9(constB49)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34158, 129, 5841])).
% 80.48/52.31 tff(34160,plain,
% 80.48/52.31 (v9(constB49)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34159, 34155])).
% 80.48/52.31 tff(34161,plain,
% 80.48/52.31 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v184(constB49))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB49) | (~v9(constB49)) | v184(constB49))),
% 80.48/52.31 inference(rewrite,[status(thm)],[])).
% 80.48/52.31 tff(34162,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v184(constB49))),
% 80.48/52.31 inference(quant_inst,[status(thm)],[])).
% 80.48/52.31 tff(34163,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB49) | (~v9(constB49)) | v184(constB49)),
% 80.48/52.31 inference(modus_ponens,[status(thm)],[34162, 34161])).
% 80.48/52.31 tff(34164,plain,
% 80.48/52.31 ((~v9(constB49)) | v184(constB49)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34163, 11036, 5728])).
% 80.48/52.31 tff(34165,plain,
% 80.48/52.31 (v184(constB49)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34164, 34160])).
% 80.48/52.31 tff(34166,plain,
% 80.48/52.31 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB49) | (~v184(constB49)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB49) | (~v184(constB49)))),
% 80.48/52.31 inference(rewrite,[status(thm)],[])).
% 80.48/52.31 tff(34167,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB49) | (~v184(constB49)))),
% 80.48/52.31 inference(quant_inst,[status(thm)],[])).
% 80.48/52.31 tff(34168,plain,
% 80.48/52.31 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB49) | (~v184(constB49))),
% 80.48/52.31 inference(modus_ponens,[status(thm)],[34167, 34166])).
% 80.48/52.31 tff(34169,plain,
% 80.48/52.31 (v183(constB49)),
% 80.48/52.31 inference(unit_resolution,[status(thm)],[34168, 11048, 34165])).
% 80.48/52.31 tff(34170,plain,
% 80.48/52.31 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB49)) | (~v181(constB49)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB49)) | (~v181(constB49)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34171,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB49)) | (~v181(constB49)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34172,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB49)) | (~v181(constB49))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 80.48/52.32 tff(34173,plain,
% 80.48/52.32 (~v181(constB49)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34172, 11059, 34169])).
% 80.48/52.32 tff(34174,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB49) | v185(constB49) | (~v178(constB49)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB49) | v185(constB49) | (~v178(constB49)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34175,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB49) | v185(constB49) | (~v178(constB49)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34176,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB49) | v185(constB49) | (~v178(constB49))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34175, 34174])).
% 80.48/52.32 tff(34177,plain,
% 80.48/52.32 (v185(constB49) | (~v178(constB49))),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34176, 11073, 34173])).
% 80.48/52.32 tff(34178,plain,
% 80.48/52.32 (~v178(constB49)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34177, 34138])).
% 80.48/52.32 tff(34179,plain,
% 80.48/52.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34180,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34181,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 80.48/52.32 tff(34182,plain,
% 80.48/52.32 (v178(constB49) | (~v180(constB50))),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34181, 11088, 5841])).
% 80.48/52.32 tff(34183,plain,
% 80.48/52.32 (~v180(constB50)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34182, 34178])).
% 80.48/52.32 tff(34184,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB50) | (~v181(constB50)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB50) | (~v181(constB50)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34185,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB50) | (~v181(constB50)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34186,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB50) | (~v181(constB50))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34185, 34184])).
% 80.48/52.32 tff(34187,plain,
% 80.48/52.32 (~v181(constB50)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34186, 11100, 34183])).
% 80.48/52.32 tff(34188,plain,
% 80.48/52.32 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB50)) | (~v184(constB50)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB50)) | (~v184(constB50)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34189,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB50)) | (~v184(constB50)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34190,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB50)) | (~v184(constB50))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34189, 34188])).
% 80.48/52.32 tff(34191,plain,
% 80.48/52.32 (~v184(constB50)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34190, 11111, 5861])).
% 80.48/52.32 tff(34192,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB50) | (~v187(constB50)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB50) | (~v187(constB50)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34193,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB50) | (~v187(constB50)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34194,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB50) | (~v187(constB50))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34193, 34192])).
% 80.48/52.32 tff(34195,plain,
% 80.48/52.32 (~v187(constB50)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34194, 11122, 34191])).
% 80.48/52.32 tff(34196,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB50) | (~v185(constB50)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB50) | (~v185(constB50)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34197,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB50) | (~v185(constB50)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34198,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB50) | (~v185(constB50))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 80.48/52.32 tff(34199,plain,
% 80.48/52.32 (~v185(constB50)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34198, 11000, 34195])).
% 80.48/52.32 tff(34200,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB50) | v185(constB50) | (~v178(constB50)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB50) | v185(constB50) | (~v178(constB50)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34201,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB50) | v185(constB50) | (~v178(constB50)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34202,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB50) | v185(constB50) | (~v178(constB50))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34201, 34200])).
% 80.48/52.32 tff(34203,plain,
% 80.48/52.32 (v181(constB50) | (~v178(constB50))),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34202, 11073, 34199])).
% 80.48/52.32 tff(34204,plain,
% 80.48/52.32 (~v178(constB50)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34203, 34187])).
% 80.48/52.32 tff(34205,plain,
% 80.48/52.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34206,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34207,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34206, 34205])).
% 80.48/52.32 tff(34208,plain,
% 80.48/52.32 (v178(constB50) | (~v180(constB51))),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34207, 11088, 5930])).
% 80.48/52.32 tff(34209,plain,
% 80.48/52.32 (~v180(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34208, 34204])).
% 80.48/52.32 tff(34210,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB51) | (~v215(constB51)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB51) | (~v215(constB51)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34211,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB51) | (~v215(constB51)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34212,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB51) | (~v215(constB51))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34211, 34210])).
% 80.48/52.32 tff(34213,plain,
% 80.48/52.32 (~v215(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34212, 11147, 34209])).
% 80.48/52.32 tff(34214,assumption,(v18(constB52)), introduced(assumption)).
% 80.48/52.32 tff(34215,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB52))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34216,plain,
% 80.48/52.32 ($false),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34215, 70, 34214])).
% 80.48/52.32 tff(34217,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 80.48/52.32 tff(34218,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34219,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34220,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34219, 34218])).
% 80.48/52.32 tff(34221,plain,
% 80.48/52.32 (v22(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34220, 83, 6112])).
% 80.48/52.32 tff(34222,plain,
% 80.48/52.32 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34223,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34224,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52)),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34223, 34222])).
% 80.48/52.32 tff(34225,plain,
% 80.48/52.32 ((~v19(constB52)) | v18(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34224, 97, 34221])).
% 80.48/52.32 tff(34226,plain,
% 80.48/52.32 (~v19(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34225, 34217])).
% 80.48/52.32 tff(34227,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34228,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34229,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 80.48/52.32 tff(34230,plain,
% 80.48/52.32 (v13(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34229, 112, 34226])).
% 80.48/52.32 tff(34231,plain,
% 80.48/52.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34232,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34233,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51)),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34232, 34231])).
% 80.48/52.32 tff(34234,plain,
% 80.48/52.32 ((~v13(constB52)) | v9(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34233, 129, 6086])).
% 80.48/52.32 tff(34235,plain,
% 80.48/52.32 (v9(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34234, 34230])).
% 80.48/52.32 tff(34236,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v184(constB51))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB51) | (~v9(constB51)) | v184(constB51))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34237,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v184(constB51))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34238,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB51) | (~v9(constB51)) | v184(constB51)),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 80.48/52.32 tff(34239,plain,
% 80.48/52.32 ((~v9(constB51)) | v184(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34238, 11036, 5927])).
% 80.48/52.32 tff(34240,plain,
% 80.48/52.32 (v184(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34239, 34235])).
% 80.48/52.32 tff(34241,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB51) | (~v184(constB51)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB51) | (~v184(constB51)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34242,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB51) | (~v184(constB51)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34243,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB51) | (~v184(constB51))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 80.48/52.32 tff(34244,plain,
% 80.48/52.32 (v183(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34243, 11048, 34240])).
% 80.48/52.32 tff(34245,plain,
% 80.48/52.32 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB51)) | (~v214(constB51)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB51)) | (~v214(constB51)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34246,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB51)) | (~v214(constB51)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34247,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB51)) | (~v214(constB51))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 80.48/52.32 tff(34248,plain,
% 80.48/52.32 (~v214(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34247, 11189, 34244])).
% 80.48/52.32 tff(34249,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB51) | v215(constB51) | (~v211(constB51)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB51) | v215(constB51) | (~v211(constB51)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34250,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB51) | v215(constB51) | (~v211(constB51)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34251,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB51) | v215(constB51) | (~v211(constB51))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34250, 34249])).
% 80.48/52.32 tff(34252,plain,
% 80.48/52.32 (v215(constB51) | (~v211(constB51))),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34251, 11203, 34248])).
% 80.48/52.32 tff(34253,plain,
% 80.48/52.32 (~v211(constB51)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34252, 34213])).
% 80.48/52.32 tff(34254,plain,
% 80.48/52.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34255,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34256,plain,
% 80.48/52.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34255, 34254])).
% 80.48/52.32 tff(34257,plain,
% 80.48/52.32 (v211(constB51) | (~v213(constB52))),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34256, 11218, 6086])).
% 80.48/52.32 tff(34258,plain,
% 80.48/52.32 (~v213(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34257, 34253])).
% 80.48/52.32 tff(34259,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB52) | (~v214(constB52)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB52) | (~v214(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34260,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB52) | (~v214(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34261,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB52) | (~v214(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34260, 34259])).
% 80.48/52.32 tff(34262,plain,
% 80.48/52.32 (~v214(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34261, 11230, 34258])).
% 80.48/52.32 tff(34263,plain,
% 80.48/52.32 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB52)) | (~v184(constB52)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB52)) | (~v184(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34264,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB52)) | (~v184(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34265,plain,
% 80.48/52.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB52)) | (~v184(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34264, 34263])).
% 80.48/52.32 tff(34266,plain,
% 80.48/52.32 (~v184(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34265, 11111, 6112])).
% 80.48/52.32 tff(34267,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB52) | (~v217(constB52)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB52) | (~v217(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34268,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB52) | (~v217(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34269,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB52) | (~v217(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 80.48/52.32 tff(34270,plain,
% 80.48/52.32 (~v217(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34269, 11245, 34266])).
% 80.48/52.32 tff(34271,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB52) | (~v216(constB52)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB52) | (~v216(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34272,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB52) | (~v216(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34273,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB52) | (~v216(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 80.48/52.32 tff(34274,plain,
% 80.48/52.32 (~v216(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34273, 11256, 34270])).
% 80.48/52.32 tff(34275,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB52) | (~v215(constB52)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB52) | (~v215(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34276,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB52) | (~v215(constB52)))),
% 80.48/52.32 inference(quant_inst,[status(thm)],[])).
% 80.48/52.32 tff(34277,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB52) | (~v215(constB52))),
% 80.48/52.32 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 80.48/52.32 tff(34278,plain,
% 80.48/52.32 (~v215(constB52)),
% 80.48/52.32 inference(unit_resolution,[status(thm)],[34277, 11267, 34274])).
% 80.48/52.32 tff(34279,plain,
% 80.48/52.32 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB52) | v215(constB52) | (~v211(constB52)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB52) | v215(constB52) | (~v211(constB52)))),
% 80.48/52.32 inference(rewrite,[status(thm)],[])).
% 80.48/52.32 tff(34280,plain,
% 80.48/52.32 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB52) | v215(constB52) | (~v211(constB52)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34281,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB52) | v215(constB52) | (~v211(constB52))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 80.48/52.33 tff(34282,plain,
% 80.48/52.33 (v214(constB52) | (~v211(constB52))),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34281, 11203, 34278])).
% 80.48/52.33 tff(34283,plain,
% 80.48/52.33 (~v211(constB52)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34282, 34262])).
% 80.48/52.33 tff(34284,plain,
% 80.48/52.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34285,plain,
% 80.48/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34286,plain,
% 80.48/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34285, 34284])).
% 80.48/52.33 tff(34287,plain,
% 80.48/52.33 (v211(constB52) | (~v213(constB53))),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34286, 11218, 6180])).
% 80.48/52.33 tff(34288,plain,
% 80.48/52.33 (~v213(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34287, 34283])).
% 80.48/52.33 tff(34289,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB53) | (~v245(constB53)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB53) | (~v245(constB53)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34290,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB53) | (~v245(constB53)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34291,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB53) | (~v245(constB53))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34290, 34289])).
% 80.48/52.33 tff(34292,plain,
% 80.48/52.33 (~v245(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34291, 11683, 34288])).
% 80.48/52.33 tff(34293,assumption,(v18(constB54)), introduced(assumption)).
% 80.48/52.33 tff(34294,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB54))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34295,plain,
% 80.48/52.33 ($false),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34294, 70, 34293])).
% 80.48/52.33 tff(34296,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 80.48/52.33 tff(34297,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34298,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34299,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34298, 34297])).
% 80.48/52.33 tff(34300,plain,
% 80.48/52.33 (v22(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34299, 83, 6304])).
% 80.48/52.33 tff(34301,plain,
% 80.48/52.33 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34302,plain,
% 80.48/52.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34303,plain,
% 80.48/52.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54)),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 80.48/52.33 tff(34304,plain,
% 80.48/52.33 ((~v19(constB54)) | v18(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34303, 97, 34300])).
% 80.48/52.33 tff(34305,plain,
% 80.48/52.33 (~v19(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34304, 34296])).
% 80.48/52.33 tff(34306,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34307,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34308,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 80.48/52.33 tff(34309,plain,
% 80.48/52.33 (v13(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34308, 112, 34305])).
% 80.48/52.33 tff(34310,plain,
% 80.48/52.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34311,plain,
% 80.48/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34312,plain,
% 80.48/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53)),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34311, 34310])).
% 80.48/52.33 tff(34313,plain,
% 80.48/52.33 ((~v13(constB54)) | v9(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34312, 129, 6284])).
% 80.48/52.33 tff(34314,plain,
% 80.48/52.33 (v9(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34313, 34309])).
% 80.48/52.33 tff(34315,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34316,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34317,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53)),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34316, 34315])).
% 80.48/52.33 tff(34318,plain,
% 80.48/52.33 ((~v9(constB53)) | v184(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34317, 11036, 6177])).
% 80.48/52.33 tff(34319,plain,
% 80.48/52.33 (v184(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34318, 34314])).
% 80.48/52.33 tff(34320,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB53) | (~v184(constB53)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB53) | (~v184(constB53)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34321,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB53) | (~v184(constB53)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34322,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB53) | (~v184(constB53))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34321, 34320])).
% 80.48/52.33 tff(34323,plain,
% 80.48/52.33 (v183(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34322, 11048, 34319])).
% 80.48/52.33 tff(34324,plain,
% 80.48/52.33 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB53)) | (~v244(constB53)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB53)) | (~v244(constB53)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34325,plain,
% 80.48/52.33 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB53)) | (~v244(constB53)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34326,plain,
% 80.48/52.33 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB53)) | (~v244(constB53))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34325, 34324])).
% 80.48/52.33 tff(34327,plain,
% 80.48/52.33 (~v244(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34326, 11694, 34323])).
% 80.48/52.33 tff(34328,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB53) | v245(constB53) | (~v241(constB53)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB53) | v245(constB53) | (~v241(constB53)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34329,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB53) | v245(constB53) | (~v241(constB53)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34330,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB53) | v245(constB53) | (~v241(constB53))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34329, 34328])).
% 80.48/52.33 tff(34331,plain,
% 80.48/52.33 (v245(constB53) | (~v241(constB53))),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34330, 11708, 34327])).
% 80.48/52.33 tff(34332,plain,
% 80.48/52.33 (~v241(constB53)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34331, 34292])).
% 80.48/52.33 tff(34333,plain,
% 80.48/52.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34334,plain,
% 80.48/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34335,plain,
% 80.48/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34334, 34333])).
% 80.48/52.33 tff(34336,plain,
% 80.48/52.33 (v241(constB53) | (~v243(constB54))),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34335, 11723, 6284])).
% 80.48/52.33 tff(34337,plain,
% 80.48/52.33 (~v243(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34336, 34332])).
% 80.48/52.33 tff(34338,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB54) | (~v244(constB54)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB54) | (~v244(constB54)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34339,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB54) | (~v244(constB54)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34340,plain,
% 80.48/52.33 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB54) | (~v244(constB54))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34339, 34338])).
% 80.48/52.33 tff(34341,plain,
% 80.48/52.33 (~v244(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34340, 11735, 34337])).
% 80.48/52.33 tff(34342,plain,
% 80.48/52.33 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54)))),
% 80.48/52.33 inference(rewrite,[status(thm)],[])).
% 80.48/52.33 tff(34343,plain,
% 80.48/52.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))),
% 80.48/52.33 inference(quant_inst,[status(thm)],[])).
% 80.48/52.33 tff(34344,plain,
% 80.48/52.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54))),
% 80.48/52.33 inference(modus_ponens,[status(thm)],[34343, 34342])).
% 80.48/52.33 tff(34345,plain,
% 80.48/52.33 (~v184(constB54)),
% 80.48/52.33 inference(unit_resolution,[status(thm)],[34344, 11111, 6304])).
% 80.48/52.33 tff(34346,plain,
% 80.48/52.33 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB54) | (~v247(constB54)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB54) | (~v247(constB54)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34347,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB54) | (~v247(constB54)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34348,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB54) | (~v247(constB54))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34347, 34346])).
% 80.50/52.33 tff(34349,plain,
% 80.50/52.33 (~v247(constB54)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34348, 11746, 34345])).
% 80.50/52.33 tff(34350,plain,
% 80.50/52.33 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB54) | (~v246(constB54)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB54) | (~v246(constB54)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34351,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB54) | (~v246(constB54)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34352,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB54) | (~v246(constB54))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34351, 34350])).
% 80.50/52.33 tff(34353,plain,
% 80.50/52.33 (~v246(constB54)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34352, 11757, 34349])).
% 80.50/52.33 tff(34354,plain,
% 80.50/52.33 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB54) | (~v245(constB54)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB54) | (~v245(constB54)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34355,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB54) | (~v245(constB54)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34356,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB54) | (~v245(constB54))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34355, 34354])).
% 80.50/52.33 tff(34357,plain,
% 80.50/52.33 (~v245(constB54)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34356, 11768, 34353])).
% 80.50/52.33 tff(34358,plain,
% 80.50/52.33 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB54) | v245(constB54) | (~v241(constB54)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB54) | v245(constB54) | (~v241(constB54)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34359,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB54) | v245(constB54) | (~v241(constB54)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34360,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB54) | v245(constB54) | (~v241(constB54))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 80.50/52.33 tff(34361,plain,
% 80.50/52.33 (v244(constB54) | (~v241(constB54))),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34360, 11708, 34357])).
% 80.50/52.33 tff(34362,plain,
% 80.50/52.33 (~v241(constB54)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34361, 34341])).
% 80.50/52.33 tff(34363,plain,
% 80.50/52.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34364,plain,
% 80.50/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34365,plain,
% 80.50/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34364, 34363])).
% 80.50/52.33 tff(34366,plain,
% 80.50/52.33 (v241(constB54) | (~v243(constB55))),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34365, 11723, 6349])).
% 80.50/52.33 tff(34367,plain,
% 80.50/52.33 (~v243(constB55)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34366, 34362])).
% 80.50/52.33 tff(34368,plain,
% 80.50/52.33 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB55) | (~v260(constB55)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB55) | (~v260(constB55)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34369,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB55) | (~v260(constB55)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34370,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB55) | (~v260(constB55))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34369, 34368])).
% 80.50/52.33 tff(34371,plain,
% 80.50/52.33 (~v260(constB55)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34370, 12130, 34367])).
% 80.50/52.33 tff(34372,plain,
% 80.50/52.33 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB55)) | (~v259(constB55)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB55)) | (~v259(constB55)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34373,plain,
% 80.50/52.33 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB55)) | (~v259(constB55)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34374,plain,
% 80.50/52.33 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB55)) | (~v259(constB55))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34373, 34372])).
% 80.50/52.33 tff(34375,plain,
% 80.50/52.33 (~v259(constB55)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34374, 12141, 33931])).
% 80.50/52.33 tff(34376,plain,
% 80.50/52.33 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB55) | v260(constB55) | (~v256(constB55)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB55) | v260(constB55) | (~v256(constB55)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34377,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB55) | v260(constB55) | (~v256(constB55)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34378,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB55) | v260(constB55) | (~v256(constB55))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34377, 34376])).
% 80.50/52.33 tff(34379,plain,
% 80.50/52.33 (v260(constB55) | (~v256(constB55))),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34378, 12155, 34375])).
% 80.50/52.33 tff(34380,plain,
% 80.50/52.33 (~v256(constB55)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34379, 34371])).
% 80.50/52.33 tff(34381,plain,
% 80.50/52.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34382,plain,
% 80.50/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34383,plain,
% 80.50/52.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34382, 34381])).
% 80.50/52.33 tff(34384,plain,
% 80.50/52.33 (v256(constB55) | (~v258(constB56))),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34383, 12170, 6468])).
% 80.50/52.33 tff(34385,plain,
% 80.50/52.33 (~v258(constB56)),
% 80.50/52.33 inference(unit_resolution,[status(thm)],[34384, 34380])).
% 80.50/52.33 tff(34386,plain,
% 80.50/52.33 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB56) | (~v259(constB56)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB56) | (~v259(constB56)))),
% 80.50/52.33 inference(rewrite,[status(thm)],[])).
% 80.50/52.33 tff(34387,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB56) | (~v259(constB56)))),
% 80.50/52.33 inference(quant_inst,[status(thm)],[])).
% 80.50/52.33 tff(34388,plain,
% 80.50/52.33 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB56) | (~v259(constB56))),
% 80.50/52.33 inference(modus_ponens,[status(thm)],[34387, 34386])).
% 80.50/52.33 tff(34389,plain,
% 80.50/52.33 (~v259(constB56)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34388, 12182, 34385])).
% 80.50/52.34 tff(34390,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB56) | (~v262(constB56)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB56) | (~v262(constB56)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34391,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB56) | (~v262(constB56)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34392,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB56) | (~v262(constB56))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34391, 34390])).
% 80.50/52.34 tff(34393,plain,
% 80.50/52.34 (~v262(constB56)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34392, 12193, 33956])).
% 80.50/52.34 tff(34394,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB56) | (~v261(constB56)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB56) | (~v261(constB56)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34395,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB56) | (~v261(constB56)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34396,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB56) | (~v261(constB56))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34395, 34394])).
% 80.50/52.34 tff(34397,plain,
% 80.50/52.34 (~v261(constB56)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34396, 12204, 34393])).
% 80.50/52.34 tff(34398,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB56) | (~v260(constB56)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB56) | (~v260(constB56)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34399,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB56) | (~v260(constB56)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34400,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB56) | (~v260(constB56))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34399, 34398])).
% 80.50/52.34 tff(34401,plain,
% 80.50/52.34 (~v260(constB56)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34400, 12215, 34397])).
% 80.50/52.34 tff(34402,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB56) | v260(constB56) | (~v256(constB56)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB56) | v260(constB56) | (~v256(constB56)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34403,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB56) | v260(constB56) | (~v256(constB56)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34404,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB56) | v260(constB56) | (~v256(constB56))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34403, 34402])).
% 80.50/52.34 tff(34405,plain,
% 80.50/52.34 (v259(constB56) | (~v256(constB56))),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34404, 12155, 34401])).
% 80.50/52.34 tff(34406,plain,
% 80.50/52.34 (~v256(constB56)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34405, 34389])).
% 80.50/52.34 tff(34407,plain,
% 80.50/52.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34408,plain,
% 80.50/52.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34409,plain,
% 80.50/52.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 80.50/52.34 tff(34410,plain,
% 80.50/52.34 (v256(constB56) | (~v258(constB57))),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34409, 12170, 6530])).
% 80.50/52.34 tff(34411,plain,
% 80.50/52.34 (~v258(constB57)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34410, 34406])).
% 80.50/52.34 tff(34412,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB57) | (~v271(constB57)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB57) | (~v271(constB57)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34413,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB57) | (~v271(constB57)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34414,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB57) | (~v271(constB57))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34413, 34412])).
% 80.50/52.34 tff(34415,plain,
% 80.50/52.34 (~v271(constB57)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34414, 12236, 34411])).
% 80.50/52.34 tff(34416,plain,
% 80.50/52.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB57)) | (~v270(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB57)) | (~v270(constB57)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34417,plain,
% 80.50/52.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB57)) | (~v270(constB57)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34418,plain,
% 80.50/52.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB57)) | (~v270(constB57))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34417, 34416])).
% 80.50/52.34 tff(34419,plain,
% 80.50/52.34 (~v270(constB57)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34418, 12247, 33748])).
% 80.50/52.34 tff(34420,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB57)) | v271(constB57) | v270(constB57))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB57)) | v271(constB57) | v270(constB57))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34421,plain,
% 80.50/52.34 ((v271(constB57) | v270(constB57) | (~v267(constB57))) <=> ((~v267(constB57)) | v271(constB57) | v270(constB57))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34422,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB57) | v270(constB57) | (~v267(constB57)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB57)) | v271(constB57) | v270(constB57)))),
% 80.50/52.34 inference(monotonicity,[status(thm)],[34421])).
% 80.50/52.34 tff(34423,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB57) | v270(constB57) | (~v267(constB57)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB57)) | v271(constB57) | v270(constB57))),
% 80.50/52.34 inference(transitivity,[status(thm)],[34422, 34420])).
% 80.50/52.34 tff(34424,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB57) | v270(constB57) | (~v267(constB57)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34425,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB57)) | v271(constB57) | v270(constB57)),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34424, 34423])).
% 80.50/52.34 tff(34426,plain,
% 80.50/52.34 ((~v267(constB57)) | v271(constB57)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34425, 12261, 34419])).
% 80.50/52.34 tff(34427,plain,
% 80.50/52.34 (~v267(constB57)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34426, 34415])).
% 80.50/52.34 tff(34428,plain,
% 80.50/52.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34429,plain,
% 80.50/52.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34430,plain,
% 80.50/52.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 80.50/52.34 tff(34431,plain,
% 80.50/52.34 (v267(constB57) | (~v269(constB58))),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34430, 12279, 6651])).
% 80.50/52.34 tff(34432,plain,
% 80.50/52.34 (~v269(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34431, 34427])).
% 80.50/52.34 tff(34433,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB58) | (~v270(constB58)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB58) | (~v270(constB58)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34434,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB58) | (~v270(constB58)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34435,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB58) | (~v270(constB58))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34434, 34433])).
% 80.50/52.34 tff(34436,plain,
% 80.50/52.34 (~v270(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34435, 12291, 34432])).
% 80.50/52.34 tff(34437,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB58) | (~v262(constB58)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB58) | (~v262(constB58)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34438,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB58) | (~v262(constB58)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34439,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB58) | (~v262(constB58))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34438, 34437])).
% 80.50/52.34 tff(34440,plain,
% 80.50/52.34 (~v262(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34439, 12193, 33773])).
% 80.50/52.34 tff(34441,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB58) | (~v261(constB58)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB58) | (~v261(constB58)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34442,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB58) | (~v261(constB58)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34443,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB58) | (~v261(constB58))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34442, 34441])).
% 80.50/52.34 tff(34444,plain,
% 80.50/52.34 (~v261(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34443, 12204, 34440])).
% 80.50/52.34 tff(34445,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB58) | (~v271(constB58)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB58) | (~v271(constB58)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34446,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB58) | (~v271(constB58)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34447,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB58) | (~v271(constB58))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34446, 34445])).
% 80.50/52.34 tff(34448,plain,
% 80.50/52.34 (~v271(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34447, 12310, 34444])).
% 80.50/52.34 tff(34449,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB58)) | v271(constB58) | v270(constB58))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB58)) | v271(constB58) | v270(constB58))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34450,plain,
% 80.50/52.34 ((v271(constB58) | v270(constB58) | (~v267(constB58))) <=> ((~v267(constB58)) | v271(constB58) | v270(constB58))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34451,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB58) | v270(constB58) | (~v267(constB58)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB58)) | v271(constB58) | v270(constB58)))),
% 80.50/52.34 inference(monotonicity,[status(thm)],[34450])).
% 80.50/52.34 tff(34452,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB58) | v270(constB58) | (~v267(constB58)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB58)) | v271(constB58) | v270(constB58))),
% 80.50/52.34 inference(transitivity,[status(thm)],[34451, 34449])).
% 80.50/52.34 tff(34453,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB58) | v270(constB58) | (~v267(constB58)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34454,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB58)) | v271(constB58) | v270(constB58)),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34453, 34452])).
% 80.50/52.34 tff(34455,plain,
% 80.50/52.34 ((~v267(constB58)) | v270(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34454, 12261, 34448])).
% 80.50/52.34 tff(34456,plain,
% 80.50/52.34 (~v267(constB58)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34455, 34436])).
% 80.50/52.34 tff(34457,plain,
% 80.50/52.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34458,plain,
% 80.50/52.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34459,plain,
% 80.50/52.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34458, 34457])).
% 80.50/52.34 tff(34460,plain,
% 80.50/52.34 (v267(constB58) | (~v269(constB59))),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34459, 12279, 6713])).
% 80.50/52.34 tff(34461,plain,
% 80.50/52.34 (~v269(constB59)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34460, 34456])).
% 80.50/52.34 tff(34462,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB59) | (~v282(constB59)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB59) | (~v282(constB59)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34463,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB59) | (~v282(constB59)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34464,plain,
% 80.50/52.34 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB59) | (~v282(constB59))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34463, 34462])).
% 80.50/52.34 tff(34465,plain,
% 80.50/52.34 (~v282(constB59)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34464, 12334, 34461])).
% 80.50/52.34 tff(34466,plain,
% 80.50/52.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB59)) | (~v281(constB59)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB59)) | (~v281(constB59)))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34467,plain,
% 80.50/52.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB59)) | (~v281(constB59)))),
% 80.50/52.34 inference(quant_inst,[status(thm)],[])).
% 80.50/52.34 tff(34468,plain,
% 80.50/52.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB59)) | (~v281(constB59))),
% 80.50/52.34 inference(modus_ponens,[status(thm)],[34467, 34466])).
% 80.50/52.34 tff(34469,plain,
% 80.50/52.34 (~v281(constB59)),
% 80.50/52.34 inference(unit_resolution,[status(thm)],[34468, 12345, 33619])).
% 80.50/52.34 tff(34470,plain,
% 80.50/52.34 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB59)) | v281(constB59) | v282(constB59))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB59)) | v281(constB59) | v282(constB59))),
% 80.50/52.34 inference(rewrite,[status(thm)],[])).
% 80.50/52.34 tff(34471,plain,
% 80.50/52.34 ((v282(constB59) | v281(constB59) | (~v278(constB59))) <=> ((~v278(constB59)) | v281(constB59) | v282(constB59))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34472,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB59) | v281(constB59) | (~v278(constB59)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB59)) | v281(constB59) | v282(constB59)))),
% 80.50/52.35 inference(monotonicity,[status(thm)],[34471])).
% 80.50/52.35 tff(34473,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB59) | v281(constB59) | (~v278(constB59)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB59)) | v281(constB59) | v282(constB59))),
% 80.50/52.35 inference(transitivity,[status(thm)],[34472, 34470])).
% 80.50/52.35 tff(34474,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB59) | v281(constB59) | (~v278(constB59)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34475,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB59)) | v281(constB59) | v282(constB59)),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34474, 34473])).
% 80.50/52.35 tff(34476,plain,
% 80.50/52.35 ((~v278(constB59)) | v282(constB59)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34475, 12359, 34469])).
% 80.50/52.35 tff(34477,plain,
% 80.50/52.35 (~v278(constB59)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34476, 34465])).
% 80.50/52.35 tff(34478,plain,
% 80.50/52.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB59, constB60)) | v278(constB59) | (~v280(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB59, constB60)) | v278(constB59) | (~v280(constB60)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34479,plain,
% 80.50/52.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB59, constB60)) | v278(constB59) | (~v280(constB60)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34480,plain,
% 80.50/52.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB59, constB60)) | v278(constB59) | (~v280(constB60))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34479, 34478])).
% 80.50/52.35 tff(34481,plain,
% 80.50/52.35 (v278(constB59) | (~v280(constB60))),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34480, 12377, 6827])).
% 80.50/52.35 tff(34482,plain,
% 80.50/52.35 (~v280(constB60)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34481, 34477])).
% 80.50/52.35 tff(34483,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB60) | (~v281(constB60)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB60) | (~v281(constB60)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34484,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB60) | (~v281(constB60)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34485,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB60) | (~v281(constB60))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 80.50/52.35 tff(34486,plain,
% 80.50/52.35 (~v281(constB60)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34485, 12389, 34482])).
% 80.50/52.35 tff(34487,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB60) | (~v282(constB60)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB60) | (~v282(constB60)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34488,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB60) | (~v282(constB60)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34489,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB60) | (~v282(constB60))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34488, 34487])).
% 80.50/52.35 tff(34490,plain,
% 80.50/52.35 (~v282(constB60)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34489, 12400, 33821])).
% 80.50/52.35 tff(34491,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB60)) | v282(constB60) | v281(constB60))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB60)) | v282(constB60) | v281(constB60))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34492,plain,
% 80.50/52.35 ((v282(constB60) | v281(constB60) | (~v278(constB60))) <=> ((~v278(constB60)) | v282(constB60) | v281(constB60))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34493,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB60) | v281(constB60) | (~v278(constB60)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB60)) | v282(constB60) | v281(constB60)))),
% 80.50/52.35 inference(monotonicity,[status(thm)],[34492])).
% 80.50/52.35 tff(34494,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB60) | v281(constB60) | (~v278(constB60)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB60)) | v282(constB60) | v281(constB60))),
% 80.50/52.35 inference(transitivity,[status(thm)],[34493, 34491])).
% 80.50/52.35 tff(34495,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB60) | v281(constB60) | (~v278(constB60)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34496,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB60)) | v282(constB60) | v281(constB60)),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34495, 34494])).
% 80.50/52.35 tff(34497,plain,
% 80.50/52.35 ((~v278(constB60)) | v281(constB60)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34496, 12359, 34490])).
% 80.50/52.35 tff(34498,plain,
% 80.50/52.35 (~v278(constB60)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34497, 34486])).
% 80.50/52.35 tff(34499,plain,
% 80.50/52.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB60, constB61)) | v278(constB60) | (~v280(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB60, constB61)) | v278(constB60) | (~v280(constB61)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34500,plain,
% 80.50/52.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB60, constB61)) | v278(constB60) | (~v280(constB61)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34501,plain,
% 80.50/52.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB60, constB61)) | v278(constB60) | (~v280(constB61))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34500, 34499])).
% 80.50/52.35 tff(34502,plain,
% 80.50/52.35 (v278(constB60) | (~v280(constB61))),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34501, 12377, 6889])).
% 80.50/52.35 tff(34503,plain,
% 80.50/52.35 (~v280(constB61)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34502, 34498])).
% 80.50/52.35 tff(34504,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB61) | (~v309(constB61)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB61) | (~v309(constB61)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34505,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB61) | (~v309(constB61)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34506,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB61) | (~v309(constB61))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34505, 34504])).
% 80.50/52.35 tff(34507,plain,
% 80.50/52.35 (~v309(constB61)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34506, 12424, 34503])).
% 80.50/52.35 tff(34508,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB61) | v309(constB61) | (~v289(constB61)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB61) | v309(constB61) | (~v289(constB61)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34509,plain,
% 80.50/52.35 ((v309(constB61) | (~v289(constB61)) | v288(constB61)) <=> (v288(constB61) | v309(constB61) | (~v289(constB61)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34510,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB61) | (~v289(constB61)) | v288(constB61))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB61) | v309(constB61) | (~v289(constB61))))),
% 80.50/52.35 inference(monotonicity,[status(thm)],[34509])).
% 80.50/52.35 tff(34511,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB61) | (~v289(constB61)) | v288(constB61))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB61) | v309(constB61) | (~v289(constB61)))),
% 80.50/52.35 inference(transitivity,[status(thm)],[34510, 34508])).
% 80.50/52.35 tff(34512,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB61) | (~v289(constB61)) | v288(constB61))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34513,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB61) | v309(constB61) | (~v289(constB61))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34512, 34511])).
% 80.50/52.35 tff(34514,plain,
% 80.50/52.35 (v288(constB61) | (~v289(constB61))),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34513, 12438, 34507])).
% 80.50/52.35 tff(34515,plain,
% 80.50/52.35 (v288(constB61)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34514, 34079])).
% 80.50/52.35 tff(34516,plain,
% 80.50/52.35 ($false),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34515, 33477])).
% 80.50/52.35 tff(34517,plain,((~(constB61 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.50/52.35 tff(34518,plain,
% 80.50/52.35 (~(constB61 = sK0_VarCurr)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34517, 1])).
% 80.50/52.35 tff(34519,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 80.50/52.35 tff(34520,plain,
% 80.50/52.35 (v288(constB125) <=> v288(sK0_VarCurr)),
% 80.50/52.35 inference(monotonicity,[status(thm)],[34519])).
% 80.50/52.35 tff(34521,plain,
% 80.50/52.35 (v288(sK0_VarCurr) <=> v288(constB125)),
% 80.50/52.35 inference(symmetry,[status(thm)],[34520])).
% 80.50/52.35 tff(34522,plain,
% 80.50/52.35 ((~v288(sK0_VarCurr)) <=> (~v288(constB125))),
% 80.50/52.35 inference(monotonicity,[status(thm)],[34521])).
% 80.50/52.35 tff(34523,plain,
% 80.50/52.35 (~v288(constB125)),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[1, 34522])).
% 80.50/52.35 tff(34524,plain,
% 80.50/52.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34525,plain,
% 80.50/52.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34526,plain,
% 80.50/52.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1)),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34525, 34524])).
% 80.50/52.35 tff(34527,plain,
% 80.50/52.35 (v88(constB125, bitIndex1)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34526, 10690, 15805])).
% 80.50/52.35 tff(34528,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34529,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34530,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34529, 34528])).
% 80.50/52.35 tff(34531,plain,
% 80.50/52.35 (~v88(constB125, bitIndex2)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34530, 11467, 15839])).
% 80.50/52.35 tff(34532,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34533,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34534,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34533, 34532])).
% 80.50/52.35 tff(34535,plain,
% 80.50/52.35 (~v88(constB125, bitIndex0)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34534, 10755, 15848])).
% 80.50/52.35 tff(34536,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | v143(constB125))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | v143(constB125))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34537,plain,
% 80.50/52.35 ((v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125)) <=> ((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | v143(constB125))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34538,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | v143(constB125)))),
% 80.50/52.35 inference(monotonicity,[status(thm)],[34537])).
% 80.50/52.35 tff(34539,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | v143(constB125))),
% 80.50/52.35 inference(transitivity,[status(thm)],[34538, 34536])).
% 80.50/52.35 tff(34540,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34541,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | v143(constB125)),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34540, 34539])).
% 80.50/52.35 tff(34542,plain,
% 80.50/52.35 ((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v143(constB125)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34541, 19614, 34535])).
% 80.50/52.35 tff(34543,plain,
% 80.50/52.35 (v143(constB125)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34542, 34531, 34527])).
% 80.50/52.35 tff(34544,plain,
% 80.50/52.35 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB125) | (~v143(constB125)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB125) | (~v143(constB125)))),
% 80.50/52.35 inference(rewrite,[status(thm)],[])).
% 80.50/52.35 tff(34545,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB125) | (~v143(constB125)))),
% 80.50/52.35 inference(quant_inst,[status(thm)],[])).
% 80.50/52.35 tff(34546,plain,
% 80.50/52.35 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB125) | (~v143(constB125))),
% 80.50/52.35 inference(modus_ponens,[status(thm)],[34545, 34544])).
% 80.50/52.35 tff(34547,plain,
% 80.50/52.35 (v142(constB125)),
% 80.50/52.35 inference(unit_resolution,[status(thm)],[34546, 19629, 34543])).
% 80.50/52.36 tff(34548,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34549,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34550,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34549, 34548])).
% 80.50/52.36 tff(34551,plain,
% 80.50/52.36 (v148(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34550, 10795, 34547])).
% 80.50/52.36 tff(34552,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB125) | (~v142(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34553,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB125) | (~v142(constB125)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34554,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB125) | (~v142(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34553, 34552])).
% 80.50/52.36 tff(34555,plain,
% 80.50/52.36 (v227(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34554, 10806, 34547])).
% 80.50/52.36 tff(34556,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB125) | (~v227(constB125)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB125) | (~v227(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34557,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB125) | (~v227(constB125)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34558,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB125) | (~v227(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34557, 34556])).
% 80.50/52.36 tff(34559,plain,
% 80.50/52.36 (v226(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34558, 10817, 34555])).
% 80.50/52.36 tff(34560,plain,
% 80.50/52.36 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB125) | (~v148(constB125)) | (~v226(constB125)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB125) | (~v148(constB125)) | (~v226(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34561,plain,
% 80.50/52.36 (((~v148(constB125)) | (~v226(constB125)) | v86(constB125)) <=> (v86(constB125) | (~v148(constB125)) | (~v226(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34562,plain,
% 80.50/52.36 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB125)) | (~v226(constB125)) | v86(constB125))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB125) | (~v148(constB125)) | (~v226(constB125))))),
% 80.50/52.36 inference(monotonicity,[status(thm)],[34561])).
% 80.50/52.36 tff(34563,plain,
% 80.50/52.36 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB125)) | (~v226(constB125)) | v86(constB125))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB125) | (~v148(constB125)) | (~v226(constB125)))),
% 80.50/52.36 inference(transitivity,[status(thm)],[34562, 34560])).
% 80.50/52.36 tff(34564,plain,
% 80.50/52.36 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB125)) | (~v226(constB125)) | v86(constB125))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34565,plain,
% 80.50/52.36 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB125) | (~v148(constB125)) | (~v226(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34564, 34563])).
% 80.50/52.36 tff(34566,plain,
% 80.50/52.36 (v86(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34565, 10831, 34559, 34551])).
% 80.50/52.36 tff(34567,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB125)) | (~v295(constB125)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB125)) | (~v295(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34568,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB125)) | (~v295(constB125)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34569,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB125)) | (~v295(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 80.50/52.36 tff(34570,plain,
% 80.50/52.36 (~v295(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34569, 10845, 34566])).
% 80.50/52.36 tff(34571,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB125) | (~v294(constB125)))) <=> ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB125) | (~v294(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34572,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB125) | (~v294(constB125)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34573,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB125) | (~v294(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34572, 34571])).
% 80.50/52.36 tff(34574,plain,
% 80.50/52.36 (~v294(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34573, 10856, 34570])).
% 80.50/52.36 tff(34575,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB125) | (~v293(constB125)))) <=> ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB125) | (~v293(constB125)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34576,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB125) | (~v293(constB125)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34577,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB125) | (~v293(constB125))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34576, 34575])).
% 80.50/52.36 tff(34578,plain,
% 80.50/52.36 (~v293(constB125)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34577, 19667, 34574])).
% 80.50/52.36 tff(34579,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34580,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34581,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34580, 34579])).
% 80.50/52.36 tff(34582,plain,
% 80.50/52.36 (~v88(constB121, bitIndex0)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34581, 10755, 15419])).
% 80.50/52.36 tff(34583,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34584,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34585,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2)),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34584, 34583])).
% 80.50/52.36 tff(34586,plain,
% 80.50/52.36 (v88(constB121, bitIndex2)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34585, 10735, 15376])).
% 80.50/52.36 tff(34587,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34588,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34589,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1)),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34588, 34587])).
% 80.50/52.36 tff(34590,plain,
% 80.50/52.36 (v88(constB121, bitIndex1)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34589, 10690, 15385])).
% 80.50/52.36 tff(34591,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0) | v144(constB121))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34592,plain,
% 80.50/52.36 (((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121)) <=> ((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0) | v144(constB121))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34593,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0) | v144(constB121)))),
% 80.50/52.36 inference(monotonicity,[status(thm)],[34592])).
% 80.50/52.36 tff(34594,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0) | v144(constB121))),
% 80.50/52.36 inference(transitivity,[status(thm)],[34593, 34591])).
% 80.50/52.36 tff(34595,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34596,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0) | v144(constB121)),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34595, 34594])).
% 80.50/52.36 tff(34597,plain,
% 80.50/52.36 (v144(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34596, 10769, 34590, 34586, 34582])).
% 80.50/52.36 tff(34598,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB121) | (~v144(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34599,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB121) | (~v144(constB121)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34600,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB121) | (~v144(constB121))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 80.50/52.36 tff(34601,plain,
% 80.50/52.36 (v142(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34600, 10784, 34597])).
% 80.50/52.36 tff(34602,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB121) | (~v142(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34603,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | (v227(constB121) | (~v142(constB121)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34604,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v227(VarCurr) | (~v142(VarCurr)))) | v227(constB121) | (~v142(constB121))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34603, 34602])).
% 80.50/52.36 tff(34605,plain,
% 80.50/52.36 (v227(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34604, 10806, 34601])).
% 80.50/52.36 tff(34606,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB121) | (~v227(constB121)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB121) | (~v227(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34607,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB121) | (~v227(constB121)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34608,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB121) | (~v227(constB121))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34607, 34606])).
% 80.50/52.36 tff(34609,plain,
% 80.50/52.36 (v226(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34608, 10817, 34605])).
% 80.50/52.36 tff(34610,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v139(constB121)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v139(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34611,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v139(constB121)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34612,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v139(constB121))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34611, 34610])).
% 80.50/52.36 tff(34613,plain,
% 80.50/52.36 (~v139(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34612, 11863, 34590])).
% 80.50/52.36 tff(34614,plain,
% 80.50/52.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v140(constB121)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v140(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34615,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v140(constB121)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34616,plain,
% 80.50/52.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v140(constB121))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34615, 34614])).
% 80.50/52.36 tff(34617,plain,
% 80.50/52.36 (~v140(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34616, 11526, 34590])).
% 80.50/52.36 tff(34618,plain,
% 80.50/52.36 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB121) | v139(constB121) | (~v168(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34619,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))),
% 80.50/52.36 inference(quant_inst,[status(thm)],[])).
% 80.50/52.36 tff(34620,plain,
% 80.50/52.36 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB121) | v139(constB121) | (~v168(constB121))),
% 80.50/52.36 inference(modus_ponens,[status(thm)],[34619, 34618])).
% 80.50/52.36 tff(34621,plain,
% 80.50/52.36 (~v168(constB121)),
% 80.50/52.36 inference(unit_resolution,[status(thm)],[34620, 10907, 34617, 34613])).
% 80.50/52.36 tff(34622,plain,
% 80.50/52.36 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB121)) | v168(constB121) | (~v226(constB121)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB121)) | v168(constB121) | (~v226(constB121)))),
% 80.50/52.36 inference(rewrite,[status(thm)],[])).
% 80.50/52.36 tff(34623,plain,
% 80.50/52.37 ((v168(constB121) | (~v226(constB121)) | (~v161(constB121))) <=> ((~v161(constB121)) | v168(constB121) | (~v226(constB121)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34624,plain,
% 80.50/52.37 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB121) | (~v226(constB121)) | (~v161(constB121)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB121)) | v168(constB121) | (~v226(constB121))))),
% 80.50/52.37 inference(monotonicity,[status(thm)],[34623])).
% 80.50/52.37 tff(34625,plain,
% 80.50/52.37 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB121) | (~v226(constB121)) | (~v161(constB121)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB121)) | v168(constB121) | (~v226(constB121)))),
% 80.50/52.37 inference(transitivity,[status(thm)],[34624, 34622])).
% 80.50/52.37 tff(34626,plain,
% 80.50/52.37 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB121) | (~v226(constB121)) | (~v161(constB121)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34627,plain,
% 80.50/52.37 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB121)) | v168(constB121) | (~v226(constB121))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34626, 34625])).
% 80.50/52.37 tff(34628,plain,
% 80.50/52.37 ((~v161(constB121)) | (~v226(constB121))),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34627, 10975, 34621])).
% 80.50/52.37 tff(34629,plain,
% 80.50/52.37 (~v161(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34628, 34609])).
% 80.50/52.37 tff(34630,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB121) | (~v187(constB121)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB121) | (~v187(constB121)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34631,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB121) | (~v187(constB121)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34632,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB121) | (~v187(constB121))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34631, 34630])).
% 80.50/52.37 tff(34633,plain,
% 80.50/52.37 (~v187(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34632, 10989, 34629])).
% 80.50/52.37 tff(34634,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB121) | (~v185(constB121)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB121) | (~v185(constB121)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34635,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB121) | (~v185(constB121)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34636,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB121) | (~v185(constB121))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 80.50/52.37 tff(34637,plain,
% 80.50/52.37 (~v185(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34636, 11000, 34633])).
% 80.50/52.37 tff(34638,assumption,(v18(constB122)), introduced(assumption)).
% 80.50/52.37 tff(34639,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB122))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34640,plain,
% 80.50/52.37 ($false),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34639, 70, 34638])).
% 80.50/52.37 tff(34641,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 80.50/52.37 tff(34642,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34643,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34644,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34643, 34642])).
% 80.50/52.37 tff(34645,plain,
% 80.50/52.37 (v22(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34644, 83, 15463])).
% 80.50/52.37 tff(34646,plain,
% 80.50/52.37 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34647,plain,
% 80.50/52.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34648,plain,
% 80.50/52.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122)),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34647, 34646])).
% 80.50/52.37 tff(34649,plain,
% 80.50/52.37 ((~v19(constB122)) | v18(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34648, 97, 34645])).
% 80.50/52.37 tff(34650,plain,
% 80.50/52.37 (~v19(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34649, 34641])).
% 80.50/52.37 tff(34651,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34652,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34653,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34652, 34651])).
% 80.50/52.37 tff(34654,plain,
% 80.50/52.37 (v13(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34653, 112, 34650])).
% 80.50/52.37 tff(34655,plain,
% 80.50/52.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34656,plain,
% 80.50/52.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34657,plain,
% 80.50/52.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121)),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34656, 34655])).
% 80.50/52.37 tff(34658,plain,
% 80.50/52.37 ((~v13(constB122)) | v9(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34657, 129, 15443])).
% 80.50/52.37 tff(34659,plain,
% 80.50/52.37 (v9(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34658, 34654])).
% 80.50/52.37 tff(34660,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v184(constB121))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB121) | (~v9(constB121)) | v184(constB121))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34661,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v184(constB121))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34662,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB121) | (~v9(constB121)) | v184(constB121)),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34661, 34660])).
% 80.50/52.37 tff(34663,plain,
% 80.50/52.37 ((~v9(constB121)) | v184(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34662, 11036, 15352])).
% 80.50/52.37 tff(34664,plain,
% 80.50/52.37 (v184(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34663, 34659])).
% 80.50/52.37 tff(34665,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB121) | (~v184(constB121)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB121) | (~v184(constB121)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34666,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB121) | (~v184(constB121)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34667,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB121) | (~v184(constB121))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34666, 34665])).
% 80.50/52.37 tff(34668,plain,
% 80.50/52.37 (v183(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34667, 11048, 34664])).
% 80.50/52.37 tff(34669,plain,
% 80.50/52.37 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB121)) | (~v181(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB121)) | (~v181(constB121)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34670,plain,
% 80.50/52.37 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB121)) | (~v181(constB121)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34671,plain,
% 80.50/52.37 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB121)) | (~v181(constB121))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34670, 34669])).
% 80.50/52.37 tff(34672,plain,
% 80.50/52.37 (~v181(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34671, 11059, 34668])).
% 80.50/52.37 tff(34673,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB121) | v185(constB121) | (~v178(constB121)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB121) | v185(constB121) | (~v178(constB121)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34674,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB121) | v185(constB121) | (~v178(constB121)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34675,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB121) | v185(constB121) | (~v178(constB121))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34674, 34673])).
% 80.50/52.37 tff(34676,plain,
% 80.50/52.37 (v185(constB121) | (~v178(constB121))),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34675, 11073, 34672])).
% 80.50/52.37 tff(34677,plain,
% 80.50/52.37 (~v178(constB121)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34676, 34637])).
% 80.50/52.37 tff(34678,plain,
% 80.50/52.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34679,plain,
% 80.50/52.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34680,plain,
% 80.50/52.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 80.50/52.37 tff(34681,plain,
% 80.50/52.37 (v178(constB121) | (~v180(constB122))),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34680, 11088, 15443])).
% 80.50/52.37 tff(34682,plain,
% 80.50/52.37 (~v180(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34681, 34677])).
% 80.50/52.37 tff(34683,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB122) | (~v181(constB122)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB122) | (~v181(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34684,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB122) | (~v181(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34685,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB122) | (~v181(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34684, 34683])).
% 80.50/52.37 tff(34686,plain,
% 80.50/52.37 (~v181(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34685, 11100, 34682])).
% 80.50/52.37 tff(34687,plain,
% 80.50/52.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB122)) | (~v184(constB122)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB122)) | (~v184(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34688,plain,
% 80.50/52.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB122)) | (~v184(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34689,plain,
% 80.50/52.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB122)) | (~v184(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 80.50/52.37 tff(34690,plain,
% 80.50/52.37 (~v184(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34689, 11111, 15463])).
% 80.50/52.37 tff(34691,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB122) | (~v187(constB122)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB122) | (~v187(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34692,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB122) | (~v187(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34693,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB122) | (~v187(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34692, 34691])).
% 80.50/52.37 tff(34694,plain,
% 80.50/52.37 (~v187(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34693, 11122, 34690])).
% 80.50/52.37 tff(34695,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB122) | (~v185(constB122)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB122) | (~v185(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34696,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB122) | (~v185(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34697,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB122) | (~v185(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34696, 34695])).
% 80.50/52.37 tff(34698,plain,
% 80.50/52.37 (~v185(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34697, 11000, 34694])).
% 80.50/52.37 tff(34699,plain,
% 80.50/52.37 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB122) | v185(constB122) | (~v178(constB122)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB122) | v185(constB122) | (~v178(constB122)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34700,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB122) | v185(constB122) | (~v178(constB122)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34701,plain,
% 80.50/52.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB122) | v185(constB122) | (~v178(constB122))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34700, 34699])).
% 80.50/52.37 tff(34702,plain,
% 80.50/52.37 (v181(constB122) | (~v178(constB122))),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34701, 11073, 34698])).
% 80.50/52.37 tff(34703,plain,
% 80.50/52.37 (~v178(constB122)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34702, 34686])).
% 80.50/52.37 tff(34704,plain,
% 80.50/52.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))),
% 80.50/52.37 inference(rewrite,[status(thm)],[])).
% 80.50/52.37 tff(34705,plain,
% 80.50/52.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))),
% 80.50/52.37 inference(quant_inst,[status(thm)],[])).
% 80.50/52.37 tff(34706,plain,
% 80.50/52.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123))),
% 80.50/52.37 inference(modus_ponens,[status(thm)],[34705, 34704])).
% 80.50/52.37 tff(34707,plain,
% 80.50/52.37 (v178(constB122) | (~v180(constB123))),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34706, 11088, 15543])).
% 80.50/52.37 tff(34708,plain,
% 80.50/52.37 (~v180(constB123)),
% 80.50/52.37 inference(unit_resolution,[status(thm)],[34707, 34703])).
% 80.50/52.37 tff(34709,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB123) | (~v215(constB123)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB123) | (~v215(constB123)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34710,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB123) | (~v215(constB123)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34711,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB123) | (~v215(constB123))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34710, 34709])).
% 80.50/52.38 tff(34712,plain,
% 80.50/52.38 (~v215(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34711, 11147, 34708])).
% 80.50/52.38 tff(34713,assumption,(v18(constB124)), introduced(assumption)).
% 80.50/52.38 tff(34714,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB124))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34715,plain,
% 80.50/52.38 ($false),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34714, 70, 34713])).
% 80.50/52.38 tff(34716,plain,(~v18(constB124)), inference(lemma,lemma(discharge,[]))).
% 80.50/52.38 tff(34717,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34718,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34719,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34718, 34717])).
% 80.50/52.38 tff(34720,plain,
% 80.50/52.38 (v22(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34719, 83, 15718])).
% 80.50/52.38 tff(34721,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB124)) | (~v22(constB124)) | v18(constB124))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB124)) | (~v22(constB124)) | v18(constB124))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34722,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB124)) | (~v22(constB124)) | v18(constB124))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34723,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB124)) | (~v22(constB124)) | v18(constB124)),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34722, 34721])).
% 80.50/52.38 tff(34724,plain,
% 80.50/52.38 ((~v19(constB124)) | v18(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34723, 97, 34720])).
% 80.50/52.38 tff(34725,plain,
% 80.50/52.38 (~v19(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34724, 34716])).
% 80.50/52.38 tff(34726,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34727,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34728,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124)),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 80.50/52.38 tff(34729,plain,
% 80.50/52.38 (v13(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34728, 112, 34725])).
% 80.50/52.38 tff(34730,plain,
% 80.50/52.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34731,plain,
% 80.50/52.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34732,plain,
% 80.50/52.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123)),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 80.50/52.38 tff(34733,plain,
% 80.50/52.38 ((~v13(constB124)) | v9(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34732, 129, 15658])).
% 80.50/52.38 tff(34734,plain,
% 80.50/52.38 (v9(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34733, 34729])).
% 80.50/52.38 tff(34735,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v184(constB123))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB123) | (~v9(constB123)) | v184(constB123))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34736,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v184(constB123))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34737,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB123) | (~v9(constB123)) | v184(constB123)),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34736, 34735])).
% 80.50/52.38 tff(34738,plain,
% 80.50/52.38 ((~v9(constB123)) | v184(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34737, 11036, 15540])).
% 80.50/52.38 tff(34739,plain,
% 80.50/52.38 (v184(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34738, 34734])).
% 80.50/52.38 tff(34740,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB123) | (~v184(constB123)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB123) | (~v184(constB123)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34741,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB123) | (~v184(constB123)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34742,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB123) | (~v184(constB123))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34741, 34740])).
% 80.50/52.38 tff(34743,plain,
% 80.50/52.38 (v183(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34742, 11048, 34739])).
% 80.50/52.38 tff(34744,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB123)) | (~v214(constB123)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB123)) | (~v214(constB123)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34745,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB123)) | (~v214(constB123)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34746,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB123)) | (~v214(constB123))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34745, 34744])).
% 80.50/52.38 tff(34747,plain,
% 80.50/52.38 (~v214(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34746, 11189, 34743])).
% 80.50/52.38 tff(34748,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB123) | v215(constB123) | (~v211(constB123)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB123) | v215(constB123) | (~v211(constB123)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34749,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB123) | v215(constB123) | (~v211(constB123)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34750,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB123) | v215(constB123) | (~v211(constB123))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34749, 34748])).
% 80.50/52.38 tff(34751,plain,
% 80.50/52.38 (v215(constB123) | (~v211(constB123))),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34750, 11203, 34747])).
% 80.50/52.38 tff(34752,plain,
% 80.50/52.38 (~v211(constB123)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34751, 34712])).
% 80.50/52.38 tff(34753,plain,
% 80.50/52.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB123, constB124)) | v211(constB123) | (~v213(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB123, constB124)) | v211(constB123) | (~v213(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34754,plain,
% 80.50/52.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB123, constB124)) | v211(constB123) | (~v213(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34755,plain,
% 80.50/52.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB123, constB124)) | v211(constB123) | (~v213(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34754, 34753])).
% 80.50/52.38 tff(34756,plain,
% 80.50/52.38 (v211(constB123) | (~v213(constB124))),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34755, 11218, 15658])).
% 80.50/52.38 tff(34757,plain,
% 80.50/52.38 (~v213(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34756, 34752])).
% 80.50/52.38 tff(34758,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB124) | (~v214(constB124)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB124) | (~v214(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34759,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB124) | (~v214(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34760,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB124) | (~v214(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34759, 34758])).
% 80.50/52.38 tff(34761,plain,
% 80.50/52.38 (~v214(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34760, 11230, 34757])).
% 80.50/52.38 tff(34762,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB124)) | (~v184(constB124)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB124)) | (~v184(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34763,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB124)) | (~v184(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34764,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB124)) | (~v184(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34763, 34762])).
% 80.50/52.38 tff(34765,plain,
% 80.50/52.38 (~v184(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34764, 11111, 15718])).
% 80.50/52.38 tff(34766,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB124) | (~v217(constB124)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB124) | (~v217(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34767,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB124) | (~v217(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34768,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB124) | (~v217(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34767, 34766])).
% 80.50/52.38 tff(34769,plain,
% 80.50/52.38 (~v217(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34768, 11245, 34765])).
% 80.50/52.38 tff(34770,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB124) | (~v216(constB124)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB124) | (~v216(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34771,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB124) | (~v216(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34772,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB124) | (~v216(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34771, 34770])).
% 80.50/52.38 tff(34773,plain,
% 80.50/52.38 (~v216(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34772, 11256, 34769])).
% 80.50/52.38 tff(34774,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB124) | (~v215(constB124)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB124) | (~v215(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34775,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB124) | (~v215(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34776,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB124) | (~v215(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34775, 34774])).
% 80.50/52.38 tff(34777,plain,
% 80.50/52.38 (~v215(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34776, 11267, 34773])).
% 80.50/52.38 tff(34778,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB124) | v215(constB124) | (~v211(constB124)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB124) | v215(constB124) | (~v211(constB124)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34779,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB124) | v215(constB124) | (~v211(constB124)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34780,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB124) | v215(constB124) | (~v211(constB124))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34779, 34778])).
% 80.50/52.38 tff(34781,plain,
% 80.50/52.38 (v214(constB124) | (~v211(constB124))),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34780, 11203, 34777])).
% 80.50/52.38 tff(34782,plain,
% 80.50/52.38 (~v211(constB124)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34781, 34761])).
% 80.50/52.38 tff(34783,plain,
% 80.50/52.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB124, constB125)) | v211(constB124) | (~v213(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB124, constB125)) | v211(constB124) | (~v213(constB125)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34784,plain,
% 80.50/52.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB124, constB125)) | v211(constB124) | (~v213(constB125)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34785,plain,
% 80.50/52.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB124, constB125)) | v211(constB124) | (~v213(constB125))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34784, 34783])).
% 80.50/52.38 tff(34786,plain,
% 80.50/52.38 (v211(constB124) | (~v213(constB125))),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34785, 11218, 15784])).
% 80.50/52.38 tff(34787,plain,
% 80.50/52.38 (~v213(constB125)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34786, 34782])).
% 80.50/52.38 tff(34788,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB125) | (~v297(constB125)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB125) | (~v297(constB125)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34789,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB125) | (~v297(constB125)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34790,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB125) | (~v297(constB125))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34789, 34788])).
% 80.50/52.38 tff(34791,plain,
% 80.50/52.38 (~v297(constB125)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34790, 11288, 34787])).
% 80.50/52.38 tff(34792,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB125) | v297(constB125) | (~v292(constB125)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB125) | v297(constB125) | (~v292(constB125)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34793,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB125) | v297(constB125) | (~v292(constB125)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34794,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB125) | v297(constB125) | (~v292(constB125))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34793, 34792])).
% 80.50/52.38 tff(34795,plain,
% 80.50/52.38 (~v292(constB125)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34794, 11451, 34791, 34578])).
% 80.50/52.38 tff(34796,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34797,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34798,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2)),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34797, 34796])).
% 80.50/52.38 tff(34799,plain,
% 80.50/52.38 (v88(constB119, bitIndex2)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34798, 10735, 15194])).
% 80.50/52.38 tff(34800,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v140(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v140(constB119)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34801,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v140(constB119)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34802,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v140(constB119))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 80.50/52.38 tff(34803,plain,
% 80.50/52.38 (~v140(constB119)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34802, 10893, 34799])).
% 80.50/52.38 tff(34804,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34805,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34806,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0)),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34805, 34804])).
% 80.50/52.38 tff(34807,plain,
% 80.50/52.38 (v88(constB119, bitIndex0)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34806, 11313, 15225])).
% 80.50/52.38 tff(34808,plain,
% 80.50/52.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v139(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v139(constB119)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34809,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v139(constB119)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34810,plain,
% 80.50/52.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v139(constB119))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34809, 34808])).
% 80.50/52.38 tff(34811,plain,
% 80.50/52.38 (~v139(constB119)),
% 80.50/52.38 inference(unit_resolution,[status(thm)],[34810, 11324, 34807])).
% 80.50/52.38 tff(34812,plain,
% 80.50/52.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v168(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB119) | v139(constB119) | (~v168(constB119)))),
% 80.50/52.38 inference(rewrite,[status(thm)],[])).
% 80.50/52.38 tff(34813,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v168(constB119)))),
% 80.50/52.38 inference(quant_inst,[status(thm)],[])).
% 80.50/52.38 tff(34814,plain,
% 80.50/52.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB119) | v139(constB119) | (~v168(constB119))),
% 80.50/52.38 inference(modus_ponens,[status(thm)],[34813, 34812])).
% 80.50/52.39 tff(34815,plain,
% 80.50/52.39 (~v168(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34814, 10907, 34811, 34803])).
% 80.50/52.39 tff(34816,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34817,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34818,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34817, 34816])).
% 80.50/52.39 tff(34819,plain,
% 80.50/52.39 (~v88(constB119, bitIndex1)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34818, 10918, 15163])).
% 80.50/52.39 tff(34820,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex0)) | v147(constB119) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB119, bitIndex0)) | v147(constB119) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34821,plain,
% 80.50/52.39 (((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119)) <=> ((~v88(constB119, bitIndex0)) | v147(constB119) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34822,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex0)) | v147(constB119) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1)))),
% 80.50/52.39 inference(monotonicity,[status(thm)],[34821])).
% 80.50/52.39 tff(34823,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB119, bitIndex0)) | v147(constB119) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1))),
% 80.50/52.39 inference(transitivity,[status(thm)],[34822, 34820])).
% 80.50/52.39 tff(34824,plain,
% 80.50/52.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34825,plain,
% 80.50/52.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB119, bitIndex0)) | v147(constB119) | (~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1)),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34824, 34823])).
% 80.50/52.39 tff(34826,plain,
% 80.50/52.39 (v147(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34825, 11353, 34807, 34799, 34819])).
% 80.50/52.39 tff(34827,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB119) | (~v147(constB119)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB119) | (~v147(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34828,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB119) | (~v147(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34829,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB119) | (~v147(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34828, 34827])).
% 80.50/52.39 tff(34830,plain,
% 80.50/52.39 (v145(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34829, 11368, 34826])).
% 80.50/52.39 tff(34831,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB119) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB119) | (~v145(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34832,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB119) | (~v145(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34833,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB119) | (~v145(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34832, 34831])).
% 80.50/52.39 tff(34834,plain,
% 80.50/52.39 (v226(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34833, 10961, 34830])).
% 80.50/52.39 tff(34835,plain,
% 80.50/52.39 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB119)) | v168(constB119) | (~v226(constB119)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB119)) | v168(constB119) | (~v226(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34836,plain,
% 80.50/52.39 ((v168(constB119) | (~v226(constB119)) | (~v161(constB119))) <=> ((~v161(constB119)) | v168(constB119) | (~v226(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34837,plain,
% 80.50/52.39 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB119) | (~v226(constB119)) | (~v161(constB119)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB119)) | v168(constB119) | (~v226(constB119))))),
% 80.50/52.39 inference(monotonicity,[status(thm)],[34836])).
% 80.50/52.39 tff(34838,plain,
% 80.50/52.39 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB119) | (~v226(constB119)) | (~v161(constB119)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB119)) | v168(constB119) | (~v226(constB119)))),
% 80.50/52.39 inference(transitivity,[status(thm)],[34837, 34835])).
% 80.50/52.39 tff(34839,plain,
% 80.50/52.39 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB119) | (~v226(constB119)) | (~v161(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34840,plain,
% 80.50/52.39 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB119)) | v168(constB119) | (~v226(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 80.50/52.39 tff(34841,plain,
% 80.50/52.39 (~v161(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34840, 10975, 34834, 34815])).
% 80.50/52.39 tff(34842,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB119) | (~v187(constB119)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB119) | (~v187(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34843,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB119) | (~v187(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34844,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB119) | (~v187(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34843, 34842])).
% 80.50/52.39 tff(34845,plain,
% 80.50/52.39 (~v187(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34844, 10989, 34841])).
% 80.50/52.39 tff(34846,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB119) | (~v185(constB119)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB119) | (~v185(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34847,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB119) | (~v185(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34848,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB119) | (~v185(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 80.50/52.39 tff(34849,plain,
% 80.50/52.39 (~v185(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34848, 11000, 34845])).
% 80.50/52.39 tff(34850,assumption,(v18(constB120)), introduced(assumption)).
% 80.50/52.39 tff(34851,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB120))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34852,plain,
% 80.50/52.39 ($false),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34851, 70, 34850])).
% 80.50/52.39 tff(34853,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 80.50/52.39 tff(34854,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34855,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34856,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34855, 34854])).
% 80.50/52.39 tff(34857,plain,
% 80.50/52.39 (v22(constB120)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34856, 83, 15290])).
% 80.50/52.39 tff(34858,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34859,plain,
% 80.50/52.39 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34860,plain,
% 80.50/52.39 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120)),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34859, 34858])).
% 80.50/52.39 tff(34861,plain,
% 80.50/52.39 ((~v19(constB120)) | v18(constB120)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34860, 97, 34857])).
% 80.50/52.39 tff(34862,plain,
% 80.50/52.39 (~v19(constB120)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34861, 34853])).
% 80.50/52.39 tff(34863,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34864,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34865,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34864, 34863])).
% 80.50/52.39 tff(34866,plain,
% 80.50/52.39 (v13(constB120)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34865, 112, 34862])).
% 80.50/52.39 tff(34867,plain,
% 80.50/52.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34868,plain,
% 80.50/52.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34869,plain,
% 80.50/52.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119)),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34868, 34867])).
% 80.50/52.39 tff(34870,plain,
% 80.50/52.39 ((~v13(constB120)) | v9(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34869, 129, 15264])).
% 80.50/52.39 tff(34871,plain,
% 80.50/52.39 (v9(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34870, 34866])).
% 80.50/52.39 tff(34872,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v184(constB119))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB119) | (~v9(constB119)) | v184(constB119))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34873,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v184(constB119))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34874,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB119) | (~v9(constB119)) | v184(constB119)),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34873, 34872])).
% 80.50/52.39 tff(34875,plain,
% 80.50/52.39 ((~v9(constB119)) | v184(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34874, 11036, 15139])).
% 80.50/52.39 tff(34876,plain,
% 80.50/52.39 (v184(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34875, 34871])).
% 80.50/52.39 tff(34877,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB119) | (~v184(constB119)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB119) | (~v184(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34878,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB119) | (~v184(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34879,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB119) | (~v184(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34878, 34877])).
% 80.50/52.39 tff(34880,plain,
% 80.50/52.39 (v183(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34879, 11048, 34876])).
% 80.50/52.39 tff(34881,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB119)) | (~v183(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB119)) | (~v183(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34882,plain,
% 80.50/52.39 (((~v183(constB119)) | (~v181(constB119))) <=> ((~v181(constB119)) | (~v183(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34883,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB119)) | (~v181(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB119)) | (~v183(constB119))))),
% 80.50/52.39 inference(monotonicity,[status(thm)],[34882])).
% 80.50/52.39 tff(34884,plain,
% 80.50/52.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB119)) | (~v181(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB119)) | (~v183(constB119)))),
% 80.50/52.39 inference(transitivity,[status(thm)],[34883, 34881])).
% 80.50/52.39 tff(34885,plain,
% 80.50/52.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB119)) | (~v181(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34886,plain,
% 80.50/52.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB119)) | (~v183(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34885, 34884])).
% 80.50/52.39 tff(34887,plain,
% 80.50/52.39 (~v181(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34886, 11059, 34880])).
% 80.50/52.39 tff(34888,plain,
% 80.50/52.39 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB119) | v185(constB119) | (~v178(constB119)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB119) | v185(constB119) | (~v178(constB119)))),
% 80.50/52.39 inference(rewrite,[status(thm)],[])).
% 80.50/52.39 tff(34889,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB119) | v185(constB119) | (~v178(constB119)))),
% 80.50/52.39 inference(quant_inst,[status(thm)],[])).
% 80.50/52.39 tff(34890,plain,
% 80.50/52.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB119) | v185(constB119) | (~v178(constB119))),
% 80.50/52.39 inference(modus_ponens,[status(thm)],[34889, 34888])).
% 80.50/52.39 tff(34891,plain,
% 80.50/52.39 (v185(constB119) | (~v178(constB119))),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34890, 11073, 34887])).
% 80.50/52.39 tff(34892,plain,
% 80.50/52.39 (~v178(constB119)),
% 80.50/52.39 inference(unit_resolution,[status(thm)],[34891, 34849])).
% 80.50/52.39 tff(34893,plain,
% 80.50/52.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34894,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34895,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34894, 34893])).
% 80.50/52.40 tff(34896,plain,
% 80.50/52.40 (v178(constB119) | (~v180(constB120))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34895, 11088, 15264])).
% 80.50/52.40 tff(34897,plain,
% 80.50/52.40 (~v180(constB120)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34896, 34892])).
% 80.50/52.40 tff(34898,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB120) | (~v181(constB120)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB120) | (~v181(constB120)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34899,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB120) | (~v181(constB120)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34900,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB120) | (~v181(constB120))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34899, 34898])).
% 80.50/52.40 tff(34901,plain,
% 80.50/52.40 (~v181(constB120)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34900, 11100, 34897])).
% 80.50/52.40 tff(34902,plain,
% 80.50/52.40 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB120)) | (~v184(constB120)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB120)) | (~v184(constB120)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34903,plain,
% 80.50/52.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB120)) | (~v184(constB120)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34904,plain,
% 80.50/52.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB120)) | (~v184(constB120))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34903, 34902])).
% 80.50/52.40 tff(34905,plain,
% 80.50/52.40 (~v184(constB120)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34904, 11111, 15290])).
% 80.50/52.40 tff(34906,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB120) | (~v187(constB120)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB120) | (~v187(constB120)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34907,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB120) | (~v187(constB120)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34908,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB120) | (~v187(constB120))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34907, 34906])).
% 80.50/52.40 tff(34909,plain,
% 80.50/52.40 (~v187(constB120)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34908, 11122, 34905])).
% 80.50/52.40 tff(34910,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB120) | (~v185(constB120)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB120) | (~v185(constB120)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34911,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB120) | (~v185(constB120)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34912,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB120) | (~v185(constB120))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34911, 34910])).
% 80.50/52.40 tff(34913,plain,
% 80.50/52.40 (~v185(constB120)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34912, 11000, 34909])).
% 80.50/52.40 tff(34914,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB120) | v185(constB120) | (~v178(constB120)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB120) | v185(constB120) | (~v178(constB120)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34915,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB120) | v185(constB120) | (~v178(constB120)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34916,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB120) | v185(constB120) | (~v178(constB120))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34915, 34914])).
% 80.50/52.40 tff(34917,plain,
% 80.50/52.40 (v181(constB120) | (~v178(constB120))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34916, 11073, 34913])).
% 80.50/52.40 tff(34918,plain,
% 80.50/52.40 (~v178(constB120)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34917, 34901])).
% 80.50/52.40 tff(34919,plain,
% 80.50/52.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34920,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34921,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34920, 34919])).
% 80.50/52.40 tff(34922,plain,
% 80.50/52.40 (v178(constB120) | (~v180(constB121))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34921, 11088, 15355])).
% 80.50/52.40 tff(34923,plain,
% 80.50/52.40 (~v180(constB121)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34922, 34918])).
% 80.50/52.40 tff(34924,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB121) | (~v215(constB121)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB121) | (~v215(constB121)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34925,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB121) | (~v215(constB121)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34926,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB121) | (~v215(constB121))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34925, 34924])).
% 80.50/52.40 tff(34927,plain,
% 80.50/52.40 (~v215(constB121)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34926, 11147, 34923])).
% 80.50/52.40 tff(34928,plain,
% 80.50/52.40 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB121)) | (~v214(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB121)) | (~v214(constB121)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34929,plain,
% 80.50/52.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB121)) | (~v214(constB121)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34930,plain,
% 80.50/52.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB121)) | (~v214(constB121))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34929, 34928])).
% 80.50/52.40 tff(34931,plain,
% 80.50/52.40 (~v214(constB121)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34930, 11189, 34668])).
% 80.50/52.40 tff(34932,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB121) | v215(constB121) | (~v211(constB121)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB121) | v215(constB121) | (~v211(constB121)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34933,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB121) | v215(constB121) | (~v211(constB121)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34934,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB121) | v215(constB121) | (~v211(constB121))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 80.50/52.40 tff(34935,plain,
% 80.50/52.40 (v215(constB121) | (~v211(constB121))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34934, 11203, 34931])).
% 80.50/52.40 tff(34936,plain,
% 80.50/52.40 (~v211(constB121)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34935, 34927])).
% 80.50/52.40 tff(34937,plain,
% 80.50/52.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB121, constB122)) | v211(constB121) | (~v213(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB121, constB122)) | v211(constB121) | (~v213(constB122)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34938,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB121, constB122)) | v211(constB121) | (~v213(constB122)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34939,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB121, constB122)) | v211(constB121) | (~v213(constB122))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34938, 34937])).
% 80.50/52.40 tff(34940,plain,
% 80.50/52.40 (v211(constB121) | (~v213(constB122))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34939, 11218, 15443])).
% 80.50/52.40 tff(34941,plain,
% 80.50/52.40 (~v213(constB122)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34940, 34936])).
% 80.50/52.40 tff(34942,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB122) | (~v214(constB122)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB122) | (~v214(constB122)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34943,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB122) | (~v214(constB122)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34944,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB122) | (~v214(constB122))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34943, 34942])).
% 80.50/52.40 tff(34945,plain,
% 80.50/52.40 (~v214(constB122)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34944, 11230, 34941])).
% 80.50/52.40 tff(34946,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB122) | (~v217(constB122)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB122) | (~v217(constB122)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34947,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB122) | (~v217(constB122)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34948,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB122) | (~v217(constB122))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 80.50/52.40 tff(34949,plain,
% 80.50/52.40 (~v217(constB122)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34948, 11245, 34690])).
% 80.50/52.40 tff(34950,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB122) | (~v216(constB122)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB122) | (~v216(constB122)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34951,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB122) | (~v216(constB122)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34952,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB122) | (~v216(constB122))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34951, 34950])).
% 80.50/52.40 tff(34953,plain,
% 80.50/52.40 (~v216(constB122)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34952, 11256, 34949])).
% 80.50/52.40 tff(34954,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB122) | (~v215(constB122)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB122) | (~v215(constB122)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34955,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB122) | (~v215(constB122)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34956,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB122) | (~v215(constB122))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34955, 34954])).
% 80.50/52.40 tff(34957,plain,
% 80.50/52.40 (~v215(constB122)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34956, 11267, 34953])).
% 80.50/52.40 tff(34958,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB122) | v215(constB122) | (~v211(constB122)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB122) | v215(constB122) | (~v211(constB122)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34959,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB122) | v215(constB122) | (~v211(constB122)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34960,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB122) | v215(constB122) | (~v211(constB122))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34959, 34958])).
% 80.50/52.40 tff(34961,plain,
% 80.50/52.40 (v214(constB122) | (~v211(constB122))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34960, 11203, 34957])).
% 80.50/52.40 tff(34962,plain,
% 80.50/52.40 (~v211(constB122)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34961, 34945])).
% 80.50/52.40 tff(34963,plain,
% 80.50/52.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB122, constB123)) | v211(constB122) | (~v213(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB122, constB123)) | v211(constB122) | (~v213(constB123)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34964,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB122, constB123)) | v211(constB122) | (~v213(constB123)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34965,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB122, constB123)) | v211(constB122) | (~v213(constB123))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34964, 34963])).
% 80.50/52.40 tff(34966,plain,
% 80.50/52.40 (v211(constB122) | (~v213(constB123))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34965, 11218, 15543])).
% 80.50/52.40 tff(34967,plain,
% 80.50/52.40 (~v213(constB123)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34966, 34962])).
% 80.50/52.40 tff(34968,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB123) | (~v245(constB123)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB123) | (~v245(constB123)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34969,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB123) | (~v245(constB123)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34970,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB123) | (~v245(constB123))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34969, 34968])).
% 80.50/52.40 tff(34971,plain,
% 80.50/52.40 (~v245(constB123)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34970, 11683, 34967])).
% 80.50/52.40 tff(34972,plain,
% 80.50/52.40 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB123)) | (~v244(constB123)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB123)) | (~v244(constB123)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34973,plain,
% 80.50/52.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB123)) | (~v244(constB123)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34974,plain,
% 80.50/52.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB123)) | (~v244(constB123))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34973, 34972])).
% 80.50/52.40 tff(34975,plain,
% 80.50/52.40 (~v244(constB123)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34974, 11694, 34743])).
% 80.50/52.40 tff(34976,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB123) | v245(constB123) | (~v241(constB123)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB123) | v245(constB123) | (~v241(constB123)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34977,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB123) | v245(constB123) | (~v241(constB123)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34978,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB123) | v245(constB123) | (~v241(constB123))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34977, 34976])).
% 80.50/52.40 tff(34979,plain,
% 80.50/52.40 (v245(constB123) | (~v241(constB123))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34978, 11708, 34975])).
% 80.50/52.40 tff(34980,plain,
% 80.50/52.40 (~v241(constB123)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34979, 34971])).
% 80.50/52.40 tff(34981,plain,
% 80.50/52.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB123, constB124)) | v241(constB123) | (~v243(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB123, constB124)) | v241(constB123) | (~v243(constB124)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34982,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB123, constB124)) | v241(constB123) | (~v243(constB124)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34983,plain,
% 80.50/52.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB123, constB124)) | v241(constB123) | (~v243(constB124))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34982, 34981])).
% 80.50/52.40 tff(34984,plain,
% 80.50/52.40 (v241(constB123) | (~v243(constB124))),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34983, 11723, 15658])).
% 80.50/52.40 tff(34985,plain,
% 80.50/52.40 (~v243(constB124)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34984, 34980])).
% 80.50/52.40 tff(34986,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB124) | (~v244(constB124)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB124) | (~v244(constB124)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34987,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB124) | (~v244(constB124)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34988,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB124) | (~v244(constB124))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34987, 34986])).
% 80.50/52.40 tff(34989,plain,
% 80.50/52.40 (~v244(constB124)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34988, 11735, 34985])).
% 80.50/52.40 tff(34990,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB124) | (~v247(constB124)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB124) | (~v247(constB124)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34991,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB124) | (~v247(constB124)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34992,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB124) | (~v247(constB124))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34991, 34990])).
% 80.50/52.40 tff(34993,plain,
% 80.50/52.40 (~v247(constB124)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34992, 11746, 34765])).
% 80.50/52.40 tff(34994,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB124) | (~v246(constB124)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB124) | (~v246(constB124)))),
% 80.50/52.40 inference(rewrite,[status(thm)],[])).
% 80.50/52.40 tff(34995,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB124) | (~v246(constB124)))),
% 80.50/52.40 inference(quant_inst,[status(thm)],[])).
% 80.50/52.40 tff(34996,plain,
% 80.50/52.40 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB124) | (~v246(constB124))),
% 80.50/52.40 inference(modus_ponens,[status(thm)],[34995, 34994])).
% 80.50/52.40 tff(34997,plain,
% 80.50/52.40 (~v246(constB124)),
% 80.50/52.40 inference(unit_resolution,[status(thm)],[34996, 11757, 34993])).
% 80.50/52.40 tff(34998,plain,
% 80.50/52.40 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB124) | (~v245(constB124)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB124) | (~v245(constB124)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(34999,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB124) | (~v245(constB124)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35000,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB124) | (~v245(constB124))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[34999, 34998])).
% 80.50/52.41 tff(35001,plain,
% 80.50/52.41 (~v245(constB124)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35000, 11768, 34997])).
% 80.50/52.41 tff(35002,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB124) | v245(constB124) | (~v241(constB124)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB124) | v245(constB124) | (~v241(constB124)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35003,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB124) | v245(constB124) | (~v241(constB124)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35004,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB124) | v245(constB124) | (~v241(constB124))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35003, 35002])).
% 80.50/52.41 tff(35005,plain,
% 80.50/52.41 (v244(constB124) | (~v241(constB124))),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35004, 11708, 35001])).
% 80.50/52.41 tff(35006,plain,
% 80.50/52.41 (~v241(constB124)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35005, 34989])).
% 80.50/52.41 tff(35007,plain,
% 80.50/52.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB124, constB125)) | v241(constB124) | (~v243(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB124, constB125)) | v241(constB124) | (~v243(constB125)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35008,plain,
% 80.50/52.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB124, constB125)) | v241(constB124) | (~v243(constB125)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35009,plain,
% 80.50/52.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB124, constB125)) | v241(constB124) | (~v243(constB125))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35008, 35007])).
% 80.50/52.41 tff(35010,plain,
% 80.50/52.41 (v241(constB124) | (~v243(constB125))),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35009, 11723, 15784])).
% 80.50/52.41 tff(35011,plain,
% 80.50/52.41 (~v243(constB125)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35010, 35006])).
% 80.50/52.41 tff(35012,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB125) | (~v302(constB125)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB125) | (~v302(constB125)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35013,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB125) | (~v302(constB125)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35014,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB125) | (~v302(constB125))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35013, 35012])).
% 80.50/52.41 tff(35015,plain,
% 80.50/52.41 (~v302(constB125)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35014, 11789, 35011])).
% 80.50/52.41 tff(35016,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB125) | v302(constB125) | v290(constB125))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB125) | v302(constB125) | v290(constB125))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35017,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB125) | v302(constB125) | v290(constB125))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35018,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB125) | v302(constB125) | v290(constB125)),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35017, 35016])).
% 80.50/52.41 tff(35019,plain,
% 80.50/52.41 (v292(constB125) | v290(constB125)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35018, 11803, 35015])).
% 80.50/52.41 tff(35020,plain,
% 80.50/52.41 (v290(constB125)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35019, 34795])).
% 80.50/52.41 tff(35021,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | (v142(constB117) | v228(constB117) | (~v148(constB117)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | v142(constB117) | v228(constB117) | (~v148(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35022,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | (v142(constB117) | v228(constB117) | (~v148(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35023,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v148(VarCurr)))) | v142(constB117) | v228(constB117) | (~v148(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35022, 35021])).
% 80.50/52.41 tff(35024,plain,
% 80.50/52.41 (~v148(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35023, 20251, 30474, 30448])).
% 80.50/52.41 tff(35025,plain,
% 80.50/52.41 (((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB117) | (~v226(constB117)) | (~v86(constB117)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB117) | (~v226(constB117)) | (~v86(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35026,plain,
% 80.50/52.41 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | (v148(constB117) | (~v226(constB117)) | (~v86(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35027,plain,
% 80.50/52.41 ((~![VarNext: $i] : (v148(VarNext) | (~v226(VarNext)) | (~v86(VarNext)))) | v148(constB117) | (~v226(constB117)) | (~v86(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35026, 35025])).
% 80.50/52.41 tff(35028,plain,
% 80.50/52.41 (~v86(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35027, 20266, 30518, 35024])).
% 80.50/52.41 tff(35029,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB117) | (~v217(constB117)))) <=> ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB117) | (~v217(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35030,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB117) | (~v217(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35031,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB117) | (~v217(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35030, 35029])).
% 80.50/52.41 tff(35032,plain,
% 80.50/52.41 (~v217(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35031, 20278, 35028])).
% 80.50/52.41 tff(35033,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB117) | (~v216(constB117)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB117) | (~v216(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35034,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB117) | (~v216(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35035,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB117) | (~v216(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35034, 35033])).
% 80.50/52.41 tff(35036,plain,
% 80.50/52.41 (~v216(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35035, 11256, 35032])).
% 80.50/52.41 tff(35037,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB117) | (~v215(constB117)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB117) | (~v215(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35038,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB117) | (~v215(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35039,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB117) | (~v215(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35038, 35037])).
% 80.50/52.41 tff(35040,plain,
% 80.50/52.41 (~v215(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35039, 11267, 35036])).
% 80.50/52.41 tff(35041,assumption,(v18(constB118)), introduced(assumption)).
% 80.50/52.41 tff(35042,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB118))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35043,plain,
% 80.50/52.41 ($false),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35042, 70, 35041])).
% 80.50/52.41 tff(35044,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 80.50/52.41 tff(35045,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35046,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35047,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35046, 35045])).
% 80.50/52.41 tff(35048,plain,
% 80.50/52.41 (v22(constB118)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35047, 83, 15097])).
% 80.50/52.41 tff(35049,plain,
% 80.50/52.41 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35050,plain,
% 80.50/52.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35051,plain,
% 80.50/52.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118)),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35050, 35049])).
% 80.50/52.41 tff(35052,plain,
% 80.50/52.41 ((~v19(constB118)) | v18(constB118)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35051, 97, 35048])).
% 80.50/52.41 tff(35053,plain,
% 80.50/52.41 (~v19(constB118)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35052, 35044])).
% 80.50/52.41 tff(35054,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35055,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35056,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35055, 35054])).
% 80.50/52.41 tff(35057,plain,
% 80.50/52.41 (v13(constB118)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35056, 112, 35053])).
% 80.50/52.41 tff(35058,plain,
% 80.50/52.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35059,plain,
% 80.50/52.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35060,plain,
% 80.50/52.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117)),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35059, 35058])).
% 80.50/52.41 tff(35061,plain,
% 80.50/52.41 ((~v13(constB118)) | v9(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35060, 129, 15077])).
% 80.50/52.41 tff(35062,plain,
% 80.50/52.41 (v9(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35061, 35057])).
% 80.50/52.41 tff(35063,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v184(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB117) | (~v9(constB117)) | v184(constB117))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35064,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v184(constB117))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35065,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB117) | (~v9(constB117)) | v184(constB117)),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35064, 35063])).
% 80.50/52.41 tff(35066,plain,
% 80.50/52.41 ((~v9(constB117)) | v184(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35065, 11036, 14980])).
% 80.50/52.41 tff(35067,plain,
% 80.50/52.41 (v184(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35066, 35062])).
% 80.50/52.41 tff(35068,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB117) | (~v184(constB117)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB117) | (~v184(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35069,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB117) | (~v184(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35070,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB117) | (~v184(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35069, 35068])).
% 80.50/52.41 tff(35071,plain,
% 80.50/52.41 (v183(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35070, 11048, 35067])).
% 80.50/52.41 tff(35072,plain,
% 80.50/52.41 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB117)) | (~v214(constB117)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB117)) | (~v214(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35073,plain,
% 80.50/52.41 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB117)) | (~v214(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35074,plain,
% 80.50/52.41 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB117)) | (~v214(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35073, 35072])).
% 80.50/52.41 tff(35075,plain,
% 80.50/52.41 (~v214(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35074, 11189, 35071])).
% 80.50/52.41 tff(35076,plain,
% 80.50/52.41 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB117) | v215(constB117) | (~v211(constB117)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB117) | v215(constB117) | (~v211(constB117)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35077,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB117) | v215(constB117) | (~v211(constB117)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35078,plain,
% 80.50/52.41 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB117) | v215(constB117) | (~v211(constB117))),
% 80.50/52.41 inference(modus_ponens,[status(thm)],[35077, 35076])).
% 80.50/52.41 tff(35079,plain,
% 80.50/52.41 (v215(constB117) | (~v211(constB117))),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35078, 11203, 35075])).
% 80.50/52.41 tff(35080,plain,
% 80.50/52.41 (~v211(constB117)),
% 80.50/52.41 inference(unit_resolution,[status(thm)],[35079, 35040])).
% 80.50/52.41 tff(35081,plain,
% 80.50/52.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118)))),
% 80.50/52.41 inference(rewrite,[status(thm)],[])).
% 80.50/52.41 tff(35082,plain,
% 80.50/52.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118)))),
% 80.50/52.41 inference(quant_inst,[status(thm)],[])).
% 80.50/52.41 tff(35083,plain,
% 80.50/52.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118))),
% 80.50/52.42 inference(modus_ponens,[status(thm)],[35082, 35081])).
% 80.50/52.42 tff(35084,plain,
% 80.50/52.42 (v211(constB117) | (~v213(constB118))),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35083, 11218, 15077])).
% 80.50/52.42 tff(35085,plain,
% 80.50/52.42 (~v213(constB118)),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35084, 35080])).
% 80.50/52.42 tff(35086,plain,
% 80.50/52.42 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB118) | (~v214(constB118)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB118) | (~v214(constB118)))),
% 80.50/52.42 inference(rewrite,[status(thm)],[])).
% 80.50/52.42 tff(35087,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB118) | (~v214(constB118)))),
% 80.50/52.42 inference(quant_inst,[status(thm)],[])).
% 80.50/52.42 tff(35088,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB118) | (~v214(constB118))),
% 80.50/52.42 inference(modus_ponens,[status(thm)],[35087, 35086])).
% 80.50/52.42 tff(35089,plain,
% 80.50/52.42 (~v214(constB118)),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35088, 11230, 35085])).
% 80.50/52.42 tff(35090,plain,
% 80.50/52.42 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB118)) | (~v184(constB118)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB118)) | (~v184(constB118)))),
% 80.50/52.42 inference(rewrite,[status(thm)],[])).
% 80.50/52.42 tff(35091,plain,
% 80.50/52.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB118)) | (~v184(constB118)))),
% 80.50/52.42 inference(quant_inst,[status(thm)],[])).
% 80.50/52.42 tff(35092,plain,
% 80.50/52.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB118)) | (~v184(constB118))),
% 80.50/52.42 inference(modus_ponens,[status(thm)],[35091, 35090])).
% 80.50/52.42 tff(35093,plain,
% 80.50/52.42 (~v184(constB118)),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35092, 11111, 15097])).
% 80.50/52.42 tff(35094,plain,
% 80.50/52.42 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB118) | (~v217(constB118)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB118) | (~v217(constB118)))),
% 80.50/52.42 inference(rewrite,[status(thm)],[])).
% 80.50/52.42 tff(35095,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB118) | (~v217(constB118)))),
% 80.50/52.42 inference(quant_inst,[status(thm)],[])).
% 80.50/52.42 tff(35096,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB118) | (~v217(constB118))),
% 80.50/52.42 inference(modus_ponens,[status(thm)],[35095, 35094])).
% 80.50/52.42 tff(35097,plain,
% 80.50/52.42 (~v217(constB118)),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35096, 11245, 35093])).
% 80.50/52.42 tff(35098,plain,
% 80.50/52.42 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB118) | (~v216(constB118)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB118) | (~v216(constB118)))),
% 80.50/52.42 inference(rewrite,[status(thm)],[])).
% 80.50/52.42 tff(35099,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB118) | (~v216(constB118)))),
% 80.50/52.42 inference(quant_inst,[status(thm)],[])).
% 80.50/52.42 tff(35100,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB118) | (~v216(constB118))),
% 80.50/52.42 inference(modus_ponens,[status(thm)],[35099, 35098])).
% 80.50/52.42 tff(35101,plain,
% 80.50/52.42 (~v216(constB118)),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35100, 11256, 35097])).
% 80.50/52.42 tff(35102,plain,
% 80.50/52.42 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB118) | (~v215(constB118)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB118) | (~v215(constB118)))),
% 80.50/52.42 inference(rewrite,[status(thm)],[])).
% 80.50/52.42 tff(35103,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB118) | (~v215(constB118)))),
% 80.50/52.42 inference(quant_inst,[status(thm)],[])).
% 80.50/52.42 tff(35104,plain,
% 80.50/52.42 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB118) | (~v215(constB118))),
% 80.50/52.42 inference(modus_ponens,[status(thm)],[35103, 35102])).
% 80.50/52.42 tff(35105,plain,
% 80.50/52.42 (~v215(constB118)),
% 80.50/52.42 inference(unit_resolution,[status(thm)],[35104, 11267, 35101])).
% 80.50/52.42 tff(35106,plain,
% 80.50/52.42 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB118) | v215(constB118) | (~v211(constB118)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB118) | v215(constB118) | (~v211(constB118)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35107,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB118) | v215(constB118) | (~v211(constB118)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35108,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB118) | v215(constB118) | (~v211(constB118))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35107, 35106])).
% 80.59/52.42 tff(35109,plain,
% 80.59/52.42 (v214(constB118) | (~v211(constB118))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35108, 11203, 35105])).
% 80.59/52.42 tff(35110,plain,
% 80.59/52.42 (~v211(constB118)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35109, 35089])).
% 80.59/52.42 tff(35111,plain,
% 80.59/52.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35112,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35113,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35112, 35111])).
% 80.59/52.42 tff(35114,plain,
% 80.59/52.42 (v211(constB118) | (~v213(constB119))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35113, 11218, 15142])).
% 80.59/52.42 tff(35115,plain,
% 80.59/52.42 (~v213(constB119)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35114, 35110])).
% 80.59/52.42 tff(35116,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB119) | (~v245(constB119)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB119) | (~v245(constB119)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35117,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB119) | (~v245(constB119)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35118,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB119) | (~v245(constB119))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35117, 35116])).
% 80.59/52.42 tff(35119,plain,
% 80.59/52.42 (~v245(constB119)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35118, 11683, 35115])).
% 80.59/52.42 tff(35120,plain,
% 80.59/52.42 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB119)) | (~v244(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB119)) | (~v244(constB119)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35121,plain,
% 80.59/52.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB119)) | (~v244(constB119)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35122,plain,
% 80.59/52.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB119)) | (~v244(constB119))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35121, 35120])).
% 80.59/52.42 tff(35123,plain,
% 80.59/52.42 (~v244(constB119)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35122, 11694, 34880])).
% 80.59/52.42 tff(35124,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB119) | v245(constB119) | (~v241(constB119)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB119) | v245(constB119) | (~v241(constB119)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35125,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB119) | v245(constB119) | (~v241(constB119)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35126,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB119) | v245(constB119) | (~v241(constB119))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35125, 35124])).
% 80.59/52.42 tff(35127,plain,
% 80.59/52.42 (v245(constB119) | (~v241(constB119))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35126, 11708, 35123])).
% 80.59/52.42 tff(35128,plain,
% 80.59/52.42 (~v241(constB119)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35127, 35119])).
% 80.59/52.42 tff(35129,plain,
% 80.59/52.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB119, constB120)) | v241(constB119) | (~v243(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB119, constB120)) | v241(constB119) | (~v243(constB120)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35130,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB119, constB120)) | v241(constB119) | (~v243(constB120)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35131,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB119, constB120)) | v241(constB119) | (~v243(constB120))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35130, 35129])).
% 80.59/52.42 tff(35132,plain,
% 80.59/52.42 (v241(constB119) | (~v243(constB120))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35131, 11723, 15264])).
% 80.59/52.42 tff(35133,plain,
% 80.59/52.42 (~v243(constB120)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35132, 35128])).
% 80.59/52.42 tff(35134,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB120) | (~v244(constB120)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB120) | (~v244(constB120)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35135,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB120) | (~v244(constB120)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35136,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB120) | (~v244(constB120))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35135, 35134])).
% 80.59/52.42 tff(35137,plain,
% 80.59/52.42 (~v244(constB120)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35136, 11735, 35133])).
% 80.59/52.42 tff(35138,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB120) | (~v247(constB120)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB120) | (~v247(constB120)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35139,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB120) | (~v247(constB120)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35140,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB120) | (~v247(constB120))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35139, 35138])).
% 80.59/52.42 tff(35141,plain,
% 80.59/52.42 (~v247(constB120)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35140, 11746, 34905])).
% 80.59/52.42 tff(35142,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB120) | (~v246(constB120)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB120) | (~v246(constB120)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35143,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB120) | (~v246(constB120)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35144,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB120) | (~v246(constB120))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35143, 35142])).
% 80.59/52.42 tff(35145,plain,
% 80.59/52.42 (~v246(constB120)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35144, 11757, 35141])).
% 80.59/52.42 tff(35146,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB120) | (~v245(constB120)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB120) | (~v245(constB120)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35147,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB120) | (~v245(constB120)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35148,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB120) | (~v245(constB120))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35147, 35146])).
% 80.59/52.42 tff(35149,plain,
% 80.59/52.42 (~v245(constB120)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35148, 11768, 35145])).
% 80.59/52.42 tff(35150,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB120) | v245(constB120) | (~v241(constB120)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB120) | v245(constB120) | (~v241(constB120)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35151,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB120) | v245(constB120) | (~v241(constB120)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35152,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB120) | v245(constB120) | (~v241(constB120))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35151, 35150])).
% 80.59/52.42 tff(35153,plain,
% 80.59/52.42 (v244(constB120) | (~v241(constB120))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35152, 11708, 35149])).
% 80.59/52.42 tff(35154,plain,
% 80.59/52.42 (~v241(constB120)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35153, 35137])).
% 80.59/52.42 tff(35155,plain,
% 80.59/52.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB120, constB121)) | v241(constB120) | (~v243(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB120, constB121)) | v241(constB120) | (~v243(constB121)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35156,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB120, constB121)) | v241(constB120) | (~v243(constB121)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35157,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB120, constB121)) | v241(constB120) | (~v243(constB121))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35156, 35155])).
% 80.59/52.42 tff(35158,plain,
% 80.59/52.42 (v241(constB120) | (~v243(constB121))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35157, 11723, 15355])).
% 80.59/52.42 tff(35159,plain,
% 80.59/52.42 (~v243(constB121)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35158, 35154])).
% 80.59/52.42 tff(35160,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB121) | (~v260(constB121)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB121) | (~v260(constB121)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35161,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB121) | (~v260(constB121)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35162,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB121) | (~v260(constB121))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35161, 35160])).
% 80.59/52.42 tff(35163,plain,
% 80.59/52.42 (~v260(constB121)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35162, 12130, 35159])).
% 80.59/52.42 tff(35164,plain,
% 80.59/52.42 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB121)) | (~v259(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB121)) | (~v259(constB121)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35165,plain,
% 80.59/52.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB121)) | (~v259(constB121)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35166,plain,
% 80.59/52.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB121)) | (~v259(constB121))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35165, 35164])).
% 80.59/52.42 tff(35167,plain,
% 80.59/52.42 (~v259(constB121)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35166, 12141, 34668])).
% 80.59/52.42 tff(35168,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB121) | v260(constB121) | (~v256(constB121)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB121) | v260(constB121) | (~v256(constB121)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35169,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB121) | v260(constB121) | (~v256(constB121)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35170,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB121) | v260(constB121) | (~v256(constB121))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35169, 35168])).
% 80.59/52.42 tff(35171,plain,
% 80.59/52.42 (v260(constB121) | (~v256(constB121))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35170, 12155, 35167])).
% 80.59/52.42 tff(35172,plain,
% 80.59/52.42 (~v256(constB121)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35171, 35163])).
% 80.59/52.42 tff(35173,plain,
% 80.59/52.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB121, constB122)) | v256(constB121) | (~v258(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB121, constB122)) | v256(constB121) | (~v258(constB122)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35174,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB121, constB122)) | v256(constB121) | (~v258(constB122)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35175,plain,
% 80.59/52.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB121, constB122)) | v256(constB121) | (~v258(constB122))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35174, 35173])).
% 80.59/52.42 tff(35176,plain,
% 80.59/52.42 (v256(constB121) | (~v258(constB122))),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35175, 12170, 15443])).
% 80.59/52.42 tff(35177,plain,
% 80.59/52.42 (~v258(constB122)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35176, 35172])).
% 80.59/52.42 tff(35178,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB122) | (~v259(constB122)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB122) | (~v259(constB122)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35179,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB122) | (~v259(constB122)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35180,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB122) | (~v259(constB122))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35179, 35178])).
% 80.59/52.42 tff(35181,plain,
% 80.59/52.42 (~v259(constB122)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35180, 12182, 35177])).
% 80.59/52.42 tff(35182,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB122) | (~v262(constB122)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB122) | (~v262(constB122)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35183,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB122) | (~v262(constB122)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35184,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB122) | (~v262(constB122))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35183, 35182])).
% 80.59/52.42 tff(35185,plain,
% 80.59/52.42 (~v262(constB122)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35184, 12193, 34690])).
% 80.59/52.42 tff(35186,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB122) | (~v261(constB122)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB122) | (~v261(constB122)))),
% 80.59/52.42 inference(rewrite,[status(thm)],[])).
% 80.59/52.42 tff(35187,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB122) | (~v261(constB122)))),
% 80.59/52.42 inference(quant_inst,[status(thm)],[])).
% 80.59/52.42 tff(35188,plain,
% 80.59/52.42 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB122) | (~v261(constB122))),
% 80.59/52.42 inference(modus_ponens,[status(thm)],[35187, 35186])).
% 80.59/52.42 tff(35189,plain,
% 80.59/52.42 (~v261(constB122)),
% 80.59/52.42 inference(unit_resolution,[status(thm)],[35188, 12204, 35185])).
% 80.59/52.42 tff(35190,plain,
% 80.59/52.42 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB122) | (~v260(constB122)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB122) | (~v260(constB122)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35191,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB122) | (~v260(constB122)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35192,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB122) | (~v260(constB122))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35191, 35190])).
% 80.59/52.43 tff(35193,plain,
% 80.59/52.43 (~v260(constB122)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35192, 12215, 35189])).
% 80.59/52.43 tff(35194,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB122) | v260(constB122) | (~v256(constB122)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB122) | v260(constB122) | (~v256(constB122)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35195,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB122) | v260(constB122) | (~v256(constB122)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35196,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB122) | v260(constB122) | (~v256(constB122))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35195, 35194])).
% 80.59/52.43 tff(35197,plain,
% 80.59/52.43 (v259(constB122) | (~v256(constB122))),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35196, 12155, 35193])).
% 80.59/52.43 tff(35198,plain,
% 80.59/52.43 (~v256(constB122)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35197, 35181])).
% 80.59/52.43 tff(35199,plain,
% 80.59/52.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB122, constB123)) | v256(constB122) | (~v258(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB122, constB123)) | v256(constB122) | (~v258(constB123)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35200,plain,
% 80.59/52.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB122, constB123)) | v256(constB122) | (~v258(constB123)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35201,plain,
% 80.59/52.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB122, constB123)) | v256(constB122) | (~v258(constB123))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35200, 35199])).
% 80.59/52.43 tff(35202,plain,
% 80.59/52.43 (v256(constB122) | (~v258(constB123))),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35201, 12170, 15543])).
% 80.59/52.43 tff(35203,plain,
% 80.59/52.43 (~v258(constB123)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35202, 35198])).
% 80.59/52.43 tff(35204,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB123) | (~v271(constB123)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB123) | (~v271(constB123)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35205,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB123) | (~v271(constB123)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35206,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB123) | (~v271(constB123))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35205, 35204])).
% 80.59/52.43 tff(35207,plain,
% 80.59/52.43 (~v271(constB123)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35206, 12236, 35203])).
% 80.59/52.43 tff(35208,plain,
% 80.59/52.43 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB123)) | (~v270(constB123)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB123)) | (~v270(constB123)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35209,plain,
% 80.59/52.43 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB123)) | (~v270(constB123)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35210,plain,
% 80.59/52.43 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB123)) | (~v270(constB123))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35209, 35208])).
% 80.59/52.43 tff(35211,plain,
% 80.59/52.43 (~v270(constB123)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35210, 12247, 34743])).
% 80.59/52.43 tff(35212,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB123)) | v271(constB123) | v270(constB123))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB123)) | v271(constB123) | v270(constB123))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35213,plain,
% 80.59/52.43 ((v271(constB123) | v270(constB123) | (~v267(constB123))) <=> ((~v267(constB123)) | v271(constB123) | v270(constB123))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35214,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB123) | v270(constB123) | (~v267(constB123)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB123)) | v271(constB123) | v270(constB123)))),
% 80.59/52.43 inference(monotonicity,[status(thm)],[35213])).
% 80.59/52.43 tff(35215,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB123) | v270(constB123) | (~v267(constB123)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB123)) | v271(constB123) | v270(constB123))),
% 80.59/52.43 inference(transitivity,[status(thm)],[35214, 35212])).
% 80.59/52.43 tff(35216,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB123) | v270(constB123) | (~v267(constB123)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35217,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB123)) | v271(constB123) | v270(constB123)),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35216, 35215])).
% 80.59/52.43 tff(35218,plain,
% 80.59/52.43 ((~v267(constB123)) | v271(constB123)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35217, 12261, 35211])).
% 80.59/52.43 tff(35219,plain,
% 80.59/52.43 (~v267(constB123)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35218, 35207])).
% 80.59/52.43 tff(35220,plain,
% 80.59/52.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB123, constB124)) | v267(constB123) | (~v269(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB123, constB124)) | v267(constB123) | (~v269(constB124)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35221,plain,
% 80.59/52.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB123, constB124)) | v267(constB123) | (~v269(constB124)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35222,plain,
% 80.59/52.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB123, constB124)) | v267(constB123) | (~v269(constB124))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 80.59/52.43 tff(35223,plain,
% 80.59/52.43 (v267(constB123) | (~v269(constB124))),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35222, 12279, 15658])).
% 80.59/52.43 tff(35224,plain,
% 80.59/52.43 (~v269(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35223, 35219])).
% 80.59/52.43 tff(35225,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB124) | (~v270(constB124)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB124) | (~v270(constB124)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35226,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB124) | (~v270(constB124)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35227,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB124) | (~v270(constB124))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35226, 35225])).
% 80.59/52.43 tff(35228,plain,
% 80.59/52.43 (~v270(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35227, 12291, 35224])).
% 80.59/52.43 tff(35229,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB124) | (~v262(constB124)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB124) | (~v262(constB124)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35230,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB124) | (~v262(constB124)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35231,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB124) | (~v262(constB124))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35230, 35229])).
% 80.59/52.43 tff(35232,plain,
% 80.59/52.43 (~v262(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35231, 12193, 34765])).
% 80.59/52.43 tff(35233,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB124) | (~v261(constB124)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB124) | (~v261(constB124)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35234,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB124) | (~v261(constB124)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35235,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB124) | (~v261(constB124))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35234, 35233])).
% 80.59/52.43 tff(35236,plain,
% 80.59/52.43 (~v261(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35235, 12204, 35232])).
% 80.59/52.43 tff(35237,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB124) | (~v271(constB124)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB124) | (~v271(constB124)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35238,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB124) | (~v271(constB124)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35239,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB124) | (~v271(constB124))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35238, 35237])).
% 80.59/52.43 tff(35240,plain,
% 80.59/52.43 (~v271(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35239, 12310, 35236])).
% 80.59/52.43 tff(35241,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB124)) | v271(constB124) | v270(constB124))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB124)) | v271(constB124) | v270(constB124))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35242,plain,
% 80.59/52.43 ((v271(constB124) | v270(constB124) | (~v267(constB124))) <=> ((~v267(constB124)) | v271(constB124) | v270(constB124))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35243,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB124) | v270(constB124) | (~v267(constB124)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB124)) | v271(constB124) | v270(constB124)))),
% 80.59/52.43 inference(monotonicity,[status(thm)],[35242])).
% 80.59/52.43 tff(35244,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB124) | v270(constB124) | (~v267(constB124)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB124)) | v271(constB124) | v270(constB124))),
% 80.59/52.43 inference(transitivity,[status(thm)],[35243, 35241])).
% 80.59/52.43 tff(35245,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB124) | v270(constB124) | (~v267(constB124)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35246,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB124)) | v271(constB124) | v270(constB124)),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35245, 35244])).
% 80.59/52.43 tff(35247,plain,
% 80.59/52.43 ((~v267(constB124)) | v270(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35246, 12261, 35240])).
% 80.59/52.43 tff(35248,plain,
% 80.59/52.43 (~v267(constB124)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35247, 35228])).
% 80.59/52.43 tff(35249,plain,
% 80.59/52.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB124, constB125)) | v267(constB124) | (~v269(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB124, constB125)) | v267(constB124) | (~v269(constB125)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35250,plain,
% 80.59/52.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB124, constB125)) | v267(constB124) | (~v269(constB125)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35251,plain,
% 80.59/52.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB124, constB125)) | v267(constB124) | (~v269(constB125))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35250, 35249])).
% 80.59/52.43 tff(35252,plain,
% 80.59/52.43 (v267(constB124) | (~v269(constB125))),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35251, 12279, 15784])).
% 80.59/52.43 tff(35253,plain,
% 80.59/52.43 (~v269(constB125)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35252, 35248])).
% 80.59/52.43 tff(35254,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB125) | (~v307(constB125)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB125) | (~v307(constB125)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35255,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB125) | (~v307(constB125)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35256,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB125) | (~v307(constB125))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35255, 35254])).
% 80.59/52.43 tff(35257,plain,
% 80.59/52.43 (~v307(constB125)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35256, 20510, 35253])).
% 80.59/52.43 tff(35258,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB125) | (~v290(constB125)) | v289(constB125))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB125) | (~v290(constB125)) | v289(constB125))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35259,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB125) | (~v290(constB125)) | v289(constB125))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35260,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB125) | (~v290(constB125)) | v289(constB125)),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35259, 35258])).
% 80.59/52.43 tff(35261,plain,
% 80.59/52.43 ((~v290(constB125)) | v289(constB125)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35260, 11821, 35257])).
% 80.59/52.43 tff(35262,plain,
% 80.59/52.43 (v289(constB125)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35261, 35020])).
% 80.59/52.43 tff(35263,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | (v141(constB117) | v229(constB117) | (~v200(constB117)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | v141(constB117) | v229(constB117) | (~v200(constB117)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35264,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | (v141(constB117) | v229(constB117) | (~v200(constB117)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35265,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v141(VarCurr) | v229(VarCurr) | (~v200(VarCurr)))) | v141(constB117) | v229(constB117) | (~v200(constB117))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35264, 35263])).
% 80.59/52.43 tff(35266,plain,
% 80.59/52.43 (v229(constB117) | (~v200(constB117))),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35265, 28829, 30469])).
% 80.59/52.43 tff(35267,plain,
% 80.59/52.43 (~v200(constB117)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35266, 30465])).
% 80.59/52.43 tff(35268,plain,
% 80.59/52.43 (((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v193(constB117)) | (~v226(constB117)) | v200(constB117))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB117)) | (~v226(constB117)) | v200(constB117))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35269,plain,
% 80.59/52.43 (((~v226(constB117)) | v200(constB117) | (~v193(constB117))) <=> ((~v193(constB117)) | (~v226(constB117)) | v200(constB117))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35270,plain,
% 80.59/52.43 (((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB117)) | v200(constB117) | (~v193(constB117)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v193(constB117)) | (~v226(constB117)) | v200(constB117)))),
% 80.59/52.43 inference(monotonicity,[status(thm)],[35269])).
% 80.59/52.43 tff(35271,plain,
% 80.59/52.43 (((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB117)) | v200(constB117) | (~v193(constB117)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB117)) | (~v226(constB117)) | v200(constB117))),
% 80.59/52.43 inference(transitivity,[status(thm)],[35270, 35268])).
% 80.59/52.43 tff(35272,plain,
% 80.59/52.43 ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB117)) | v200(constB117) | (~v193(constB117)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35273,plain,
% 80.59/52.43 ((~![VarNext: $i] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB117)) | (~v226(constB117)) | v200(constB117)),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35272, 35271])).
% 80.59/52.43 tff(35274,plain,
% 80.59/52.43 (~v193(constB117)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35273, 28844, 30518, 35267])).
% 80.59/52.43 tff(35275,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | (v193(constB117) | (~v247(constB117)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | v193(constB117) | (~v247(constB117)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35276,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | (v193(constB117) | (~v247(constB117)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35277,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v193(VarCurr) | (~v247(VarCurr)))) | v193(constB117) | (~v247(constB117))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35276, 35275])).
% 80.59/52.43 tff(35278,plain,
% 80.59/52.43 (~v247(constB117)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35277, 28859, 35274])).
% 80.59/52.43 tff(35279,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB117) | (~v246(constB117)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB117) | (~v246(constB117)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35280,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB117) | (~v246(constB117)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35281,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB117) | (~v246(constB117))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35280, 35279])).
% 80.59/52.43 tff(35282,plain,
% 80.59/52.43 (~v246(constB117)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35281, 11757, 35278])).
% 80.59/52.43 tff(35283,plain,
% 80.59/52.43 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB117) | (~v245(constB117)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB117) | (~v245(constB117)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35284,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB117) | (~v245(constB117)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35285,plain,
% 80.59/52.43 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB117) | (~v245(constB117))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35284, 35283])).
% 80.59/52.43 tff(35286,plain,
% 80.59/52.43 (~v245(constB117)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35285, 11768, 35282])).
% 80.59/52.43 tff(35287,plain,
% 80.59/52.43 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB117)) | (~v244(constB117)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB117)) | (~v244(constB117)))),
% 80.59/52.43 inference(rewrite,[status(thm)],[])).
% 80.59/52.43 tff(35288,plain,
% 80.59/52.43 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB117)) | (~v244(constB117)))),
% 80.59/52.43 inference(quant_inst,[status(thm)],[])).
% 80.59/52.43 tff(35289,plain,
% 80.59/52.43 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB117)) | (~v244(constB117))),
% 80.59/52.43 inference(modus_ponens,[status(thm)],[35288, 35287])).
% 80.59/52.43 tff(35290,plain,
% 80.59/52.43 (~v244(constB117)),
% 80.59/52.43 inference(unit_resolution,[status(thm)],[35289, 11694, 35071])).
% 80.59/52.44 tff(35291,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB117) | v245(constB117) | (~v241(constB117)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB117) | v245(constB117) | (~v241(constB117)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35292,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB117) | v245(constB117) | (~v241(constB117)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35293,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB117) | v245(constB117) | (~v241(constB117))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35292, 35291])).
% 80.59/52.44 tff(35294,plain,
% 80.59/52.44 (v245(constB117) | (~v241(constB117))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35293, 11708, 35290])).
% 80.59/52.44 tff(35295,plain,
% 80.59/52.44 (~v241(constB117)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35294, 35286])).
% 80.59/52.44 tff(35296,plain,
% 80.59/52.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35297,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35298,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35297, 35296])).
% 80.59/52.44 tff(35299,plain,
% 80.59/52.44 (v241(constB117) | (~v243(constB118))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35298, 11723, 15077])).
% 80.59/52.44 tff(35300,plain,
% 80.59/52.44 (~v243(constB118)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35299, 35295])).
% 80.59/52.44 tff(35301,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB118) | (~v244(constB118)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB118) | (~v244(constB118)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35302,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB118) | (~v244(constB118)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35303,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB118) | (~v244(constB118))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35302, 35301])).
% 80.59/52.44 tff(35304,plain,
% 80.59/52.44 (~v244(constB118)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35303, 11735, 35300])).
% 80.59/52.44 tff(35305,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB118) | (~v247(constB118)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB118) | (~v247(constB118)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35306,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB118) | (~v247(constB118)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35307,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB118) | (~v247(constB118))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35306, 35305])).
% 80.59/52.44 tff(35308,plain,
% 80.59/52.44 (~v247(constB118)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35307, 11746, 35093])).
% 80.59/52.44 tff(35309,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB118) | (~v246(constB118)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB118) | (~v246(constB118)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35310,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB118) | (~v246(constB118)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35311,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB118) | (~v246(constB118))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35310, 35309])).
% 80.59/52.44 tff(35312,plain,
% 80.59/52.44 (~v246(constB118)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35311, 11757, 35308])).
% 80.59/52.44 tff(35313,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB118) | (~v245(constB118)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB118) | (~v245(constB118)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35314,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB118) | (~v245(constB118)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35315,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB118) | (~v245(constB118))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35314, 35313])).
% 80.59/52.44 tff(35316,plain,
% 80.59/52.44 (~v245(constB118)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35315, 11768, 35312])).
% 80.59/52.44 tff(35317,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB118) | v245(constB118) | (~v241(constB118)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB118) | v245(constB118) | (~v241(constB118)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35318,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB118) | v245(constB118) | (~v241(constB118)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35319,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB118) | v245(constB118) | (~v241(constB118))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35318, 35317])).
% 80.59/52.44 tff(35320,plain,
% 80.59/52.44 (v244(constB118) | (~v241(constB118))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35319, 11708, 35316])).
% 80.59/52.44 tff(35321,plain,
% 80.59/52.44 (~v241(constB118)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35320, 35304])).
% 80.59/52.44 tff(35322,plain,
% 80.59/52.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35323,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35324,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 80.59/52.44 tff(35325,plain,
% 80.59/52.44 (v241(constB118) | (~v243(constB119))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35324, 11723, 15142])).
% 80.59/52.44 tff(35326,plain,
% 80.59/52.44 (~v243(constB119)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35325, 35321])).
% 80.59/52.44 tff(35327,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB119) | (~v260(constB119)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB119) | (~v260(constB119)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35328,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB119) | (~v260(constB119)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35329,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB119) | (~v260(constB119))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35328, 35327])).
% 80.59/52.44 tff(35330,plain,
% 80.59/52.44 (~v260(constB119)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35329, 12130, 35326])).
% 80.59/52.44 tff(35331,plain,
% 80.59/52.44 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB119)) | (~v259(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB119)) | (~v259(constB119)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35332,plain,
% 80.59/52.44 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB119)) | (~v259(constB119)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35333,plain,
% 80.59/52.44 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB119)) | (~v259(constB119))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35332, 35331])).
% 80.59/52.44 tff(35334,plain,
% 80.59/52.44 (~v259(constB119)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35333, 12141, 34880])).
% 80.59/52.44 tff(35335,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB119) | v260(constB119) | (~v256(constB119)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB119) | v260(constB119) | (~v256(constB119)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35336,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB119) | v260(constB119) | (~v256(constB119)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35337,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB119) | v260(constB119) | (~v256(constB119))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35336, 35335])).
% 80.59/52.44 tff(35338,plain,
% 80.59/52.44 (v260(constB119) | (~v256(constB119))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35337, 12155, 35334])).
% 80.59/52.44 tff(35339,plain,
% 80.59/52.44 (~v256(constB119)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35338, 35330])).
% 80.59/52.44 tff(35340,plain,
% 80.59/52.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB119, constB120)) | v256(constB119) | (~v258(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB119, constB120)) | v256(constB119) | (~v258(constB120)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35341,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB119, constB120)) | v256(constB119) | (~v258(constB120)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35342,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB119, constB120)) | v256(constB119) | (~v258(constB120))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35341, 35340])).
% 80.59/52.44 tff(35343,plain,
% 80.59/52.44 (v256(constB119) | (~v258(constB120))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35342, 12170, 15264])).
% 80.59/52.44 tff(35344,plain,
% 80.59/52.44 (~v258(constB120)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35343, 35339])).
% 80.59/52.44 tff(35345,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB120) | (~v259(constB120)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB120) | (~v259(constB120)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35346,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB120) | (~v259(constB120)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35347,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB120) | (~v259(constB120))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35346, 35345])).
% 80.59/52.44 tff(35348,plain,
% 80.59/52.44 (~v259(constB120)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35347, 12182, 35344])).
% 80.59/52.44 tff(35349,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB120) | (~v262(constB120)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB120) | (~v262(constB120)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35350,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB120) | (~v262(constB120)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35351,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB120) | (~v262(constB120))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35350, 35349])).
% 80.59/52.44 tff(35352,plain,
% 80.59/52.44 (~v262(constB120)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35351, 12193, 34905])).
% 80.59/52.44 tff(35353,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB120) | (~v261(constB120)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB120) | (~v261(constB120)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35354,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB120) | (~v261(constB120)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35355,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB120) | (~v261(constB120))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35354, 35353])).
% 80.59/52.44 tff(35356,plain,
% 80.59/52.44 (~v261(constB120)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35355, 12204, 35352])).
% 80.59/52.44 tff(35357,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB120) | (~v260(constB120)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB120) | (~v260(constB120)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35358,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB120) | (~v260(constB120)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35359,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB120) | (~v260(constB120))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35358, 35357])).
% 80.59/52.44 tff(35360,plain,
% 80.59/52.44 (~v260(constB120)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35359, 12215, 35356])).
% 80.59/52.44 tff(35361,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB120) | v260(constB120) | (~v256(constB120)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB120) | v260(constB120) | (~v256(constB120)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35362,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB120) | v260(constB120) | (~v256(constB120)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35363,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB120) | v260(constB120) | (~v256(constB120))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35362, 35361])).
% 80.59/52.44 tff(35364,plain,
% 80.59/52.44 (v259(constB120) | (~v256(constB120))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35363, 12155, 35360])).
% 80.59/52.44 tff(35365,plain,
% 80.59/52.44 (~v256(constB120)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35364, 35348])).
% 80.59/52.44 tff(35366,plain,
% 80.59/52.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB120, constB121)) | v256(constB120) | (~v258(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB120, constB121)) | v256(constB120) | (~v258(constB121)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35367,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB120, constB121)) | v256(constB120) | (~v258(constB121)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35368,plain,
% 80.59/52.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB120, constB121)) | v256(constB120) | (~v258(constB121))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35367, 35366])).
% 80.59/52.44 tff(35369,plain,
% 80.59/52.44 (v256(constB120) | (~v258(constB121))),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35368, 12170, 15355])).
% 80.59/52.44 tff(35370,plain,
% 80.59/52.44 (~v258(constB121)),
% 80.59/52.44 inference(unit_resolution,[status(thm)],[35369, 35365])).
% 80.59/52.44 tff(35371,plain,
% 80.59/52.44 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB121) | (~v271(constB121)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB121) | (~v271(constB121)))),
% 80.59/52.44 inference(rewrite,[status(thm)],[])).
% 80.59/52.44 tff(35372,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB121) | (~v271(constB121)))),
% 80.59/52.44 inference(quant_inst,[status(thm)],[])).
% 80.59/52.44 tff(35373,plain,
% 80.59/52.44 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB121) | (~v271(constB121))),
% 80.59/52.44 inference(modus_ponens,[status(thm)],[35372, 35371])).
% 80.59/52.45 tff(35374,plain,
% 80.59/52.45 (~v271(constB121)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35373, 12236, 35370])).
% 80.59/52.45 tff(35375,plain,
% 80.59/52.45 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB121)) | (~v270(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB121)) | (~v270(constB121)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35376,plain,
% 80.59/52.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB121)) | (~v270(constB121)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35377,plain,
% 80.59/52.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB121)) | (~v270(constB121))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35376, 35375])).
% 80.59/52.45 tff(35378,plain,
% 80.59/52.45 (~v270(constB121)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35377, 12247, 34668])).
% 80.59/52.45 tff(35379,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB121)) | v271(constB121) | v270(constB121))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB121)) | v271(constB121) | v270(constB121))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35380,plain,
% 80.59/52.45 ((v271(constB121) | v270(constB121) | (~v267(constB121))) <=> ((~v267(constB121)) | v271(constB121) | v270(constB121))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35381,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB121) | v270(constB121) | (~v267(constB121)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB121)) | v271(constB121) | v270(constB121)))),
% 80.59/52.45 inference(monotonicity,[status(thm)],[35380])).
% 80.59/52.45 tff(35382,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB121) | v270(constB121) | (~v267(constB121)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB121)) | v271(constB121) | v270(constB121))),
% 80.59/52.45 inference(transitivity,[status(thm)],[35381, 35379])).
% 80.59/52.45 tff(35383,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB121) | v270(constB121) | (~v267(constB121)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35384,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB121)) | v271(constB121) | v270(constB121)),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35383, 35382])).
% 80.59/52.45 tff(35385,plain,
% 80.59/52.45 ((~v267(constB121)) | v271(constB121)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35384, 12261, 35378])).
% 80.59/52.45 tff(35386,plain,
% 80.59/52.45 (~v267(constB121)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35385, 35374])).
% 80.59/52.45 tff(35387,plain,
% 80.59/52.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB121, constB122)) | v267(constB121) | (~v269(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB121, constB122)) | v267(constB121) | (~v269(constB122)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35388,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB121, constB122)) | v267(constB121) | (~v269(constB122)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35389,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB121, constB122)) | v267(constB121) | (~v269(constB122))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35388, 35387])).
% 80.59/52.45 tff(35390,plain,
% 80.59/52.45 (v267(constB121) | (~v269(constB122))),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35389, 12279, 15443])).
% 80.59/52.45 tff(35391,plain,
% 80.59/52.45 (~v269(constB122)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35390, 35386])).
% 80.59/52.45 tff(35392,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB122) | (~v270(constB122)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB122) | (~v270(constB122)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35393,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB122) | (~v270(constB122)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35394,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB122) | (~v270(constB122))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35393, 35392])).
% 80.59/52.45 tff(35395,plain,
% 80.59/52.45 (~v270(constB122)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35394, 12291, 35391])).
% 80.59/52.45 tff(35396,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB122) | (~v271(constB122)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB122) | (~v271(constB122)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35397,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB122) | (~v271(constB122)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35398,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB122) | (~v271(constB122))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35397, 35396])).
% 80.59/52.45 tff(35399,plain,
% 80.59/52.45 (~v271(constB122)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35398, 12310, 35189])).
% 80.59/52.45 tff(35400,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB122)) | v271(constB122) | v270(constB122))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB122)) | v271(constB122) | v270(constB122))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35401,plain,
% 80.59/52.45 ((v271(constB122) | v270(constB122) | (~v267(constB122))) <=> ((~v267(constB122)) | v271(constB122) | v270(constB122))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35402,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB122) | v270(constB122) | (~v267(constB122)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB122)) | v271(constB122) | v270(constB122)))),
% 80.59/52.45 inference(monotonicity,[status(thm)],[35401])).
% 80.59/52.45 tff(35403,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB122) | v270(constB122) | (~v267(constB122)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB122)) | v271(constB122) | v270(constB122))),
% 80.59/52.45 inference(transitivity,[status(thm)],[35402, 35400])).
% 80.59/52.45 tff(35404,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB122) | v270(constB122) | (~v267(constB122)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35405,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB122)) | v271(constB122) | v270(constB122)),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35404, 35403])).
% 80.59/52.45 tff(35406,plain,
% 80.59/52.45 ((~v267(constB122)) | v270(constB122)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35405, 12261, 35399])).
% 80.59/52.45 tff(35407,plain,
% 80.59/52.45 (~v267(constB122)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35406, 35395])).
% 80.59/52.45 tff(35408,plain,
% 80.59/52.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB122, constB123)) | v267(constB122) | (~v269(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB122, constB123)) | v267(constB122) | (~v269(constB123)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35409,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB122, constB123)) | v267(constB122) | (~v269(constB123)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35410,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB122, constB123)) | v267(constB122) | (~v269(constB123))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35409, 35408])).
% 80.59/52.45 tff(35411,plain,
% 80.59/52.45 (v267(constB122) | (~v269(constB123))),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35410, 12279, 15543])).
% 80.59/52.45 tff(35412,plain,
% 80.59/52.45 (~v269(constB123)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35411, 35407])).
% 80.59/52.45 tff(35413,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB123) | (~v282(constB123)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB123) | (~v282(constB123)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35414,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB123) | (~v282(constB123)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35415,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB123) | (~v282(constB123))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 80.59/52.45 tff(35416,plain,
% 80.59/52.45 (~v282(constB123)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35415, 12334, 35412])).
% 80.59/52.45 tff(35417,plain,
% 80.59/52.45 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB123)) | (~v281(constB123)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB123)) | (~v281(constB123)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35418,plain,
% 80.59/52.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB123)) | (~v281(constB123)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35419,plain,
% 80.59/52.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB123)) | (~v281(constB123))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35418, 35417])).
% 80.59/52.45 tff(35420,plain,
% 80.59/52.45 (~v281(constB123)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35419, 12345, 34743])).
% 80.59/52.45 tff(35421,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB123)) | v282(constB123) | v281(constB123))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB123)) | v282(constB123) | v281(constB123))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35422,plain,
% 80.59/52.45 ((v282(constB123) | v281(constB123) | (~v278(constB123))) <=> ((~v278(constB123)) | v282(constB123) | v281(constB123))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35423,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB123) | v281(constB123) | (~v278(constB123)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB123)) | v282(constB123) | v281(constB123)))),
% 80.59/52.45 inference(monotonicity,[status(thm)],[35422])).
% 80.59/52.45 tff(35424,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB123) | v281(constB123) | (~v278(constB123)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB123)) | v282(constB123) | v281(constB123))),
% 80.59/52.45 inference(transitivity,[status(thm)],[35423, 35421])).
% 80.59/52.45 tff(35425,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB123) | v281(constB123) | (~v278(constB123)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35426,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB123)) | v282(constB123) | v281(constB123)),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35425, 35424])).
% 80.59/52.45 tff(35427,plain,
% 80.59/52.45 ((~v278(constB123)) | v282(constB123)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35426, 12359, 35420])).
% 80.59/52.45 tff(35428,plain,
% 80.59/52.45 (~v278(constB123)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35427, 35416])).
% 80.59/52.45 tff(35429,plain,
% 80.59/52.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB123, constB124)) | v278(constB123) | (~v280(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB123, constB124)) | v278(constB123) | (~v280(constB124)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35430,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB123, constB124)) | v278(constB123) | (~v280(constB124)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35431,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB123, constB124)) | v278(constB123) | (~v280(constB124))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35430, 35429])).
% 80.59/52.45 tff(35432,plain,
% 80.59/52.45 (v278(constB123) | (~v280(constB124))),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35431, 12377, 15658])).
% 80.59/52.45 tff(35433,plain,
% 80.59/52.45 (~v280(constB124)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35432, 35428])).
% 80.59/52.45 tff(35434,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB124) | (~v281(constB124)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB124) | (~v281(constB124)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35435,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB124) | (~v281(constB124)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35436,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB124) | (~v281(constB124))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 80.59/52.45 tff(35437,plain,
% 80.59/52.45 (~v281(constB124)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35436, 12389, 35433])).
% 80.59/52.45 tff(35438,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB124) | (~v282(constB124)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB124) | (~v282(constB124)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35439,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB124) | (~v282(constB124)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35440,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB124) | (~v282(constB124))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35439, 35438])).
% 80.59/52.45 tff(35441,plain,
% 80.59/52.45 (~v282(constB124)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35440, 12400, 34773])).
% 80.59/52.45 tff(35442,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB124)) | v282(constB124) | v281(constB124))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB124)) | v282(constB124) | v281(constB124))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35443,plain,
% 80.59/52.45 ((v282(constB124) | v281(constB124) | (~v278(constB124))) <=> ((~v278(constB124)) | v282(constB124) | v281(constB124))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35444,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB124) | v281(constB124) | (~v278(constB124)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB124)) | v282(constB124) | v281(constB124)))),
% 80.59/52.45 inference(monotonicity,[status(thm)],[35443])).
% 80.59/52.45 tff(35445,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB124) | v281(constB124) | (~v278(constB124)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB124)) | v282(constB124) | v281(constB124))),
% 80.59/52.45 inference(transitivity,[status(thm)],[35444, 35442])).
% 80.59/52.45 tff(35446,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB124) | v281(constB124) | (~v278(constB124)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35447,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB124)) | v282(constB124) | v281(constB124)),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35446, 35445])).
% 80.59/52.45 tff(35448,plain,
% 80.59/52.45 ((~v278(constB124)) | v281(constB124)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35447, 12359, 35441])).
% 80.59/52.45 tff(35449,plain,
% 80.59/52.45 (~v278(constB124)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35448, 35437])).
% 80.59/52.45 tff(35450,plain,
% 80.59/52.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB124, constB125)) | v278(constB124) | (~v280(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB124, constB125)) | v278(constB124) | (~v280(constB125)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35451,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB124, constB125)) | v278(constB124) | (~v280(constB125)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35452,plain,
% 80.59/52.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB124, constB125)) | v278(constB124) | (~v280(constB125))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35451, 35450])).
% 80.59/52.45 tff(35453,plain,
% 80.59/52.45 (v278(constB124) | (~v280(constB125))),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35452, 12377, 15784])).
% 80.59/52.45 tff(35454,plain,
% 80.59/52.45 (~v280(constB125)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35453, 35449])).
% 80.59/52.45 tff(35455,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB125) | (~v309(constB125)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB125) | (~v309(constB125)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35456,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB125) | (~v309(constB125)))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35457,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB125) | (~v309(constB125))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35456, 35455])).
% 80.59/52.45 tff(35458,plain,
% 80.59/52.45 (~v309(constB125)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35457, 12424, 35454])).
% 80.59/52.45 tff(35459,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB125) | v309(constB125) | (~v289(constB125)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB125) | v309(constB125) | (~v289(constB125)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35460,plain,
% 80.59/52.45 ((v309(constB125) | (~v289(constB125)) | v288(constB125)) <=> (v288(constB125) | v309(constB125) | (~v289(constB125)))),
% 80.59/52.45 inference(rewrite,[status(thm)],[])).
% 80.59/52.45 tff(35461,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB125) | (~v289(constB125)) | v288(constB125))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB125) | v309(constB125) | (~v289(constB125))))),
% 80.59/52.45 inference(monotonicity,[status(thm)],[35460])).
% 80.59/52.45 tff(35462,plain,
% 80.59/52.45 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB125) | (~v289(constB125)) | v288(constB125))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB125) | v309(constB125) | (~v289(constB125)))),
% 80.59/52.45 inference(transitivity,[status(thm)],[35461, 35459])).
% 80.59/52.45 tff(35463,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB125) | (~v289(constB125)) | v288(constB125))),
% 80.59/52.45 inference(quant_inst,[status(thm)],[])).
% 80.59/52.45 tff(35464,plain,
% 80.59/52.45 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB125) | v309(constB125) | (~v289(constB125))),
% 80.59/52.45 inference(modus_ponens,[status(thm)],[35463, 35462])).
% 80.59/52.45 tff(35465,plain,
% 80.59/52.45 (v288(constB125) | (~v289(constB125))),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35464, 12438, 35458])).
% 80.59/52.45 tff(35466,plain,
% 80.59/52.45 (v288(constB125)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35465, 35262])).
% 80.59/52.45 tff(35467,plain,
% 80.59/52.45 ($false),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35466, 34523])).
% 80.59/52.45 tff(35468,plain,((~(constB125 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.59/52.45 tff(35469,plain,
% 80.59/52.45 (~(constB125 = sK0_VarCurr)),
% 80.59/52.45 inference(unit_resolution,[status(thm)],[35468, 1])).
% 80.59/52.45 tff(35470,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 80.59/52.45 tff(35471,plain,
% 80.59/52.45 (v288(constB167) <=> v288(sK0_VarCurr)),
% 80.59/52.45 inference(monotonicity,[status(thm)],[35470])).
% 80.59/52.45 tff(35472,plain,
% 80.59/52.45 (v288(sK0_VarCurr) <=> v288(constB167)),
% 80.59/52.45 inference(symmetry,[status(thm)],[35471])).
% 80.59/52.46 tff(35473,plain,
% 80.59/52.46 ((~v288(sK0_VarCurr)) <=> (~v288(constB167))),
% 80.59/52.46 inference(monotonicity,[status(thm)],[35472])).
% 80.59/52.46 tff(35474,plain,
% 80.59/52.46 (~v288(constB167)),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[1, 35473])).
% 80.59/52.46 tff(35475,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v229(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | v140(constB167) | v139(constB167) | (~v229(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35476,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v229(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35477,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v229(VarCurr)))) | v140(constB167) | v139(constB167) | (~v229(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35476, 35475])).
% 80.59/52.46 tff(35478,plain,
% 80.59/52.46 (v140(constB167) | (~v229(constB167))),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35477, 20206, 29388])).
% 80.59/52.46 tff(35479,plain,
% 80.59/52.46 (~v229(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35478, 29380])).
% 80.59/52.46 tff(35480,plain,
% 80.59/52.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v141(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v141(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35481,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v141(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35482,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v141(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35481, 35480])).
% 80.59/52.46 tff(35483,plain,
% 80.59/52.46 (~v141(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35482, 20220, 29376])).
% 80.59/52.46 tff(35484,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB167) | (~v228(constB167)) | v229(constB167))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB167) | (~v228(constB167)) | v229(constB167))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35485,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB167) | (~v228(constB167)) | v229(constB167))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35486,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB167) | (~v228(constB167)) | v229(constB167)),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35485, 35484])).
% 80.59/52.46 tff(35487,plain,
% 80.59/52.46 (~v228(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35486, 20234, 35483, 35479])).
% 80.59/52.46 tff(35488,plain,
% 80.59/52.46 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))))),
% 80.59/52.46 inference(bind,[status(th)],[])).
% 80.59/52.46 tff(35489,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 80.59/52.46 inference(quant_intro,[status(thm)],[35488])).
% 80.59/52.46 tff(35490,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35491,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_4')).
% 80.59/52.46 tff(35492,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35491, 35490])).
% 80.59/52.46 tff(35493,plain,(
% 80.59/52.46 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 80.59/52.46 inference(skolemize,[status(sab)],[35492])).
% 80.59/52.46 tff(35494,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35493, 35489])).
% 80.59/52.46 tff(35495,plain,
% 80.59/52.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v143(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v143(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35496,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v143(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35497,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v143(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35496, 35495])).
% 80.59/52.46 tff(35498,plain,
% 80.59/52.46 (~v143(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35497, 35494, 29384])).
% 80.59/52.46 tff(35499,plain,
% 80.59/52.46 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))))),
% 80.59/52.46 inference(bind,[status(th)],[])).
% 80.59/52.46 tff(35500,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 80.59/52.46 inference(quant_intro,[status(thm)],[35499])).
% 80.59/52.46 tff(35501,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35502,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_4')).
% 80.59/52.46 tff(35503,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35502, 35501])).
% 80.59/52.46 tff(35504,plain,(
% 80.59/52.46 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 80.59/52.46 inference(skolemize,[status(sab)],[35503])).
% 80.59/52.46 tff(35505,plain,
% 80.59/52.46 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35504, 35500])).
% 80.59/52.46 tff(35506,plain,
% 80.59/52.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v144(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v144(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35507,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v144(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35508,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v144(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35507, 35506])).
% 80.59/52.46 tff(35509,plain,
% 80.59/52.46 (~v144(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35508, 35505, 29384])).
% 80.59/52.46 tff(35510,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB167) | v144(constB167) | (~v142(constB167)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB167) | v144(constB167) | (~v142(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35511,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB167) | v144(constB167) | (~v142(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35512,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB167) | v144(constB167) | (~v142(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35511, 35510])).
% 80.59/52.46 tff(35513,plain,
% 80.59/52.46 (~v142(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35512, 20183, 35509, 35498])).
% 80.59/52.46 tff(35514,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB167) | v228(constB167) | (~v227(constB167)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB167) | v228(constB167) | (~v227(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35515,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB167) | v228(constB167) | (~v227(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35516,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB167) | v228(constB167) | (~v227(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35515, 35514])).
% 80.59/52.46 tff(35517,plain,
% 80.59/52.46 (v228(constB167) | (~v227(constB167))),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35516, 30484, 35513])).
% 80.59/52.46 tff(35518,plain,
% 80.59/52.46 (~v227(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35517, 35487])).
% 80.59/52.46 tff(35519,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB167) | v230(constB167))) <=> ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | v227(constB167) | v230(constB167))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35520,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB167) | v230(constB167))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35521,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v227(VarCurr) | v230(VarCurr))) | v227(constB167) | v230(constB167)),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35520, 35519])).
% 80.59/52.46 tff(35522,plain,
% 80.59/52.46 (v230(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35521, 30498, 35518])).
% 80.59/52.46 tff(35523,plain,
% 80.59/52.46 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB167) | (~v230(constB167)) | (~v226(constB167)))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB167) | (~v230(constB167)) | (~v226(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35524,plain,
% 80.59/52.46 (((~v226(constB167)) | (~v230(constB167)) | v223(constB167)) <=> (v223(constB167) | (~v230(constB167)) | (~v226(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35525,plain,
% 80.59/52.46 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB167)) | (~v230(constB167)) | v223(constB167))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB167) | (~v230(constB167)) | (~v226(constB167))))),
% 80.59/52.46 inference(monotonicity,[status(thm)],[35524])).
% 80.59/52.46 tff(35526,plain,
% 80.59/52.46 (((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB167)) | (~v230(constB167)) | v223(constB167))) <=> ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB167) | (~v230(constB167)) | (~v226(constB167)))),
% 80.59/52.46 inference(transitivity,[status(thm)],[35525, 35523])).
% 80.59/52.46 tff(35527,plain,
% 80.59/52.46 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB167)) | (~v230(constB167)) | v223(constB167))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35528,plain,
% 80.59/52.46 ((~![VarNext: $i] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB167) | (~v230(constB167)) | (~v226(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35527, 35526])).
% 80.59/52.46 tff(35529,plain,
% 80.59/52.46 (v223(constB167) | (~v230(constB167))),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35528, 30528, 29413])).
% 80.59/52.46 tff(35530,plain,
% 80.59/52.46 (v223(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35529, 35522])).
% 80.59/52.46 tff(35531,plain,
% 80.59/52.46 (((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB167)) | (~v304(constB167)))) <=> ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB167)) | (~v304(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35532,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB167)) | (~v304(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35533,plain,
% 80.59/52.46 ((~![VarCurr: $i] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB167)) | (~v304(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35532, 35531])).
% 80.59/52.46 tff(35534,plain,
% 80.59/52.46 (~v304(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35533, 30543, 35530])).
% 80.59/52.46 tff(35535,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB167) | (~v303(constB167)))) <=> ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB167) | (~v303(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35536,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB167) | (~v303(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35537,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB167) | (~v303(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35536, 35535])).
% 80.59/52.46 tff(35538,plain,
% 80.59/52.46 (~v303(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35537, 30554, 35534])).
% 80.59/52.46 tff(35539,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB167) | (~v302(constB167)))) <=> ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB167) | (~v302(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35540,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB167) | (~v302(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35541,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB167) | (~v302(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35540, 35539])).
% 80.59/52.46 tff(35542,plain,
% 80.59/52.46 (~v302(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35541, 30565, 35538])).
% 80.59/52.46 tff(35543,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB167) | (~v293(constB167)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB167) | (~v293(constB167)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35544,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB167) | (~v293(constB167)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35545,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB167) | (~v293(constB167))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35544, 35543])).
% 80.59/52.46 tff(35546,plain,
% 80.59/52.46 (~v293(constB167)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35545, 11437, 29785])).
% 80.59/52.46 tff(35547,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB165) | (~v214(constB165)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB165) | (~v214(constB165)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35548,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB165) | (~v214(constB165)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35549,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB165) | (~v214(constB165))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35548, 35547])).
% 80.59/52.46 tff(35550,plain,
% 80.59/52.46 (~v214(constB165)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35549, 11230, 29984])).
% 80.59/52.46 tff(35551,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB165) | (~v215(constB165)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB165) | (~v215(constB165)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35552,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB165) | (~v215(constB165)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35553,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB165) | (~v215(constB165))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35552, 35551])).
% 80.59/52.46 tff(35554,plain,
% 80.59/52.46 (~v215(constB165)),
% 80.59/52.46 inference(unit_resolution,[status(thm)],[35553, 11147, 29745])).
% 80.59/52.46 tff(35555,plain,
% 80.59/52.46 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB165) | v215(constB165) | (~v211(constB165)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB165) | v215(constB165) | (~v211(constB165)))),
% 80.59/52.46 inference(rewrite,[status(thm)],[])).
% 80.59/52.46 tff(35556,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB165) | v215(constB165) | (~v211(constB165)))),
% 80.59/52.46 inference(quant_inst,[status(thm)],[])).
% 80.59/52.46 tff(35557,plain,
% 80.59/52.46 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB165) | v215(constB165) | (~v211(constB165))),
% 80.59/52.46 inference(modus_ponens,[status(thm)],[35556, 35555])).
% 80.59/52.47 tff(35558,plain,
% 80.59/52.47 (v214(constB165) | (~v211(constB165))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35557, 11203, 35554])).
% 80.59/52.47 tff(35559,plain,
% 80.59/52.47 (~v211(constB165)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35558, 35550])).
% 80.59/52.47 tff(35560,plain,
% 80.59/52.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35561,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35562,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35561, 35560])).
% 80.59/52.47 tff(35563,plain,
% 80.59/52.47 (v211(constB165) | (~v213(constB166))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35562, 11218, 21374])).
% 80.59/52.47 tff(35564,plain,
% 80.59/52.47 (~v213(constB166)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35563, 35559])).
% 80.59/52.47 tff(35565,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB166) | (~v214(constB166)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB166) | (~v214(constB166)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35566,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB166) | (~v214(constB166)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35567,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB166) | (~v214(constB166))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35566, 35565])).
% 80.59/52.47 tff(35568,plain,
% 80.59/52.47 (~v214(constB166)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35567, 11230, 35564])).
% 80.59/52.47 tff(35569,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB166) | (~v217(constB166)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB166) | (~v217(constB166)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35570,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB166) | (~v217(constB166)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35571,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB166) | (~v217(constB166))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35570, 35569])).
% 80.59/52.47 tff(35572,plain,
% 80.59/52.47 (~v217(constB166)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35571, 11245, 29767])).
% 80.59/52.47 tff(35573,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB166) | (~v216(constB166)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB166) | (~v216(constB166)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35574,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB166) | (~v216(constB166)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35575,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB166) | (~v216(constB166))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35574, 35573])).
% 80.59/52.47 tff(35576,plain,
% 80.59/52.47 (~v216(constB166)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35575, 11256, 35572])).
% 80.59/52.47 tff(35577,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB166) | (~v215(constB166)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB166) | (~v215(constB166)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35578,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB166) | (~v215(constB166)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35579,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB166) | (~v215(constB166))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35578, 35577])).
% 80.59/52.47 tff(35580,plain,
% 80.59/52.47 (~v215(constB166)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35579, 11267, 35576])).
% 80.59/52.47 tff(35581,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB166) | v215(constB166) | (~v211(constB166)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB166) | v215(constB166) | (~v211(constB166)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35582,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB166) | v215(constB166) | (~v211(constB166)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35583,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB166) | v215(constB166) | (~v211(constB166))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35582, 35581])).
% 80.59/52.47 tff(35584,plain,
% 80.59/52.47 (v214(constB166) | (~v211(constB166))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35583, 11203, 35580])).
% 80.59/52.47 tff(35585,plain,
% 80.59/52.47 (~v211(constB166)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35584, 35568])).
% 80.59/52.47 tff(35586,plain,
% 80.59/52.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35587,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35588,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35587, 35586])).
% 80.59/52.47 tff(35589,plain,
% 80.59/52.47 (v211(constB166) | (~v213(constB167))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35588, 11218, 21645])).
% 80.59/52.47 tff(35590,plain,
% 80.59/52.47 (~v213(constB167)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35589, 35585])).
% 80.59/52.47 tff(35591,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB167) | (~v297(constB167)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB167) | (~v297(constB167)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35592,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB167) | (~v297(constB167)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35593,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB167) | (~v297(constB167))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35592, 35591])).
% 80.59/52.47 tff(35594,plain,
% 80.59/52.47 (~v297(constB167)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35593, 11288, 35590])).
% 80.59/52.47 tff(35595,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB167) | v297(constB167) | (~v292(constB167)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB167) | v297(constB167) | (~v292(constB167)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35596,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB167) | v297(constB167) | (~v292(constB167)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35597,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB167) | v297(constB167) | (~v292(constB167))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35596, 35595])).
% 80.59/52.47 tff(35598,plain,
% 80.59/52.47 (v293(constB167) | (~v292(constB167))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35597, 11451, 35594])).
% 80.59/52.47 tff(35599,plain,
% 80.59/52.47 (~v292(constB167)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35598, 35546])).
% 80.59/52.47 tff(35600,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB167) | v302(constB167) | v292(constB167))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB167) | v302(constB167) | v292(constB167))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35601,plain,
% 80.59/52.47 ((v292(constB167) | v302(constB167) | v290(constB167)) <=> (v290(constB167) | v302(constB167) | v292(constB167))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35602,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB167) | v302(constB167) | v290(constB167))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB167) | v302(constB167) | v292(constB167)))),
% 80.59/52.47 inference(monotonicity,[status(thm)],[35601])).
% 80.59/52.47 tff(35603,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB167) | v302(constB167) | v290(constB167))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB167) | v302(constB167) | v292(constB167))),
% 80.59/52.47 inference(transitivity,[status(thm)],[35602, 35600])).
% 80.59/52.47 tff(35604,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB167) | v302(constB167) | v290(constB167))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35605,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB167) | v302(constB167) | v292(constB167)),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35604, 35603])).
% 80.59/52.47 tff(35606,plain,
% 80.59/52.47 (v290(constB167)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35605, 11803, 35599, 35542])).
% 80.59/52.47 tff(35607,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB161) | (~v245(constB161)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB161) | (~v245(constB161)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35608,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB161) | (~v245(constB161)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35609,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB161) | (~v245(constB161))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35608, 35607])).
% 80.59/52.47 tff(35610,plain,
% 80.59/52.47 (~v245(constB161)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35609, 11683, 19883])).
% 80.59/52.47 tff(35611,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB161) | (~v244(constB161)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB161) | (~v244(constB161)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35612,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB161) | (~v244(constB161)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35613,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB161) | (~v244(constB161))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35612, 35611])).
% 80.59/52.47 tff(35614,plain,
% 80.59/52.47 (~v244(constB161)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35613, 11735, 20108])).
% 80.59/52.47 tff(35615,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB161) | v245(constB161) | (~v241(constB161)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB161) | v245(constB161) | (~v241(constB161)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35616,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB161) | v245(constB161) | (~v241(constB161)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35617,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB161) | v245(constB161) | (~v241(constB161))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35616, 35615])).
% 80.59/52.47 tff(35618,plain,
% 80.59/52.47 (v245(constB161) | (~v241(constB161))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35617, 11708, 35614])).
% 80.59/52.47 tff(35619,plain,
% 80.59/52.47 (~v241(constB161)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35618, 35610])).
% 80.59/52.47 tff(35620,plain,
% 80.59/52.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35621,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35622,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35621, 35620])).
% 80.59/52.47 tff(35623,plain,
% 80.59/52.47 (v241(constB161) | (~v243(constB162))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35622, 11723, 21013])).
% 80.59/52.47 tff(35624,plain,
% 80.59/52.47 (~v243(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35623, 35619])).
% 80.59/52.47 tff(35625,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB162) | (~v244(constB162)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB162) | (~v244(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35626,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB162) | (~v244(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35627,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB162) | (~v244(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35626, 35625])).
% 80.59/52.47 tff(35628,plain,
% 80.59/52.47 (~v244(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35627, 11735, 35624])).
% 80.59/52.47 tff(35629,plain,
% 80.59/52.47 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35630,plain,
% 80.59/52.47 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35631,plain,
% 80.59/52.47 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35630, 35629])).
% 80.59/52.47 tff(35632,plain,
% 80.59/52.47 (~v184(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35631, 11111, 21033])).
% 80.59/52.47 tff(35633,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB162) | (~v247(constB162)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB162) | (~v247(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35634,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB162) | (~v247(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35635,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB162) | (~v247(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35634, 35633])).
% 80.59/52.47 tff(35636,plain,
% 80.59/52.47 (~v247(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35635, 11746, 35632])).
% 80.59/52.47 tff(35637,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB162) | (~v246(constB162)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB162) | (~v246(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35638,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB162) | (~v246(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35639,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB162) | (~v246(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35638, 35637])).
% 80.59/52.47 tff(35640,plain,
% 80.59/52.47 (~v246(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35639, 11757, 35636])).
% 80.59/52.47 tff(35641,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB162) | (~v245(constB162)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB162) | (~v245(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35642,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB162) | (~v245(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35643,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB162) | (~v245(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35642, 35641])).
% 80.59/52.47 tff(35644,plain,
% 80.59/52.47 (~v245(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35643, 11768, 35640])).
% 80.59/52.47 tff(35645,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB162) | v245(constB162) | (~v241(constB162)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB162) | v245(constB162) | (~v241(constB162)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35646,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB162) | v245(constB162) | (~v241(constB162)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35647,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB162) | v245(constB162) | (~v241(constB162))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35646, 35645])).
% 80.59/52.47 tff(35648,plain,
% 80.59/52.47 (v244(constB162) | (~v241(constB162))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35647, 11708, 35644])).
% 80.59/52.47 tff(35649,plain,
% 80.59/52.47 (~v241(constB162)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35648, 35628])).
% 80.59/52.47 tff(35650,plain,
% 80.59/52.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35651,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35652,plain,
% 80.59/52.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35651, 35650])).
% 80.59/52.47 tff(35653,plain,
% 80.59/52.47 (v241(constB162) | (~v243(constB163))),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35652, 11723, 21078])).
% 80.59/52.47 tff(35654,plain,
% 80.59/52.47 (~v243(constB163)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35653, 35649])).
% 80.59/52.47 tff(35655,plain,
% 80.59/52.47 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB163) | (~v260(constB163)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB163) | (~v260(constB163)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35656,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB163) | (~v260(constB163)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35657,plain,
% 80.59/52.47 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB163) | (~v260(constB163))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35656, 35655])).
% 80.59/52.47 tff(35658,plain,
% 80.59/52.47 (~v260(constB163)),
% 80.59/52.47 inference(unit_resolution,[status(thm)],[35657, 12130, 35654])).
% 80.59/52.47 tff(35659,plain,
% 80.59/52.47 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB163)) | (~v259(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB163)) | (~v259(constB163)))),
% 80.59/52.47 inference(rewrite,[status(thm)],[])).
% 80.59/52.47 tff(35660,plain,
% 80.59/52.47 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB163)) | (~v259(constB163)))),
% 80.59/52.47 inference(quant_inst,[status(thm)],[])).
% 80.59/52.47 tff(35661,plain,
% 80.59/52.47 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB163)) | (~v259(constB163))),
% 80.59/52.47 inference(modus_ponens,[status(thm)],[35660, 35659])).
% 80.59/52.48 tff(35662,plain,
% 80.59/52.48 (~v259(constB163)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35661, 12141, 29702])).
% 80.59/52.48 tff(35663,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB163) | v260(constB163) | (~v256(constB163)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB163) | v260(constB163) | (~v256(constB163)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35664,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB163) | v260(constB163) | (~v256(constB163)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35665,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB163) | v260(constB163) | (~v256(constB163))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35664, 35663])).
% 80.59/52.48 tff(35666,plain,
% 80.59/52.48 (v260(constB163) | (~v256(constB163))),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35665, 12155, 35662])).
% 80.59/52.48 tff(35667,plain,
% 80.59/52.48 (~v256(constB163)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35666, 35658])).
% 80.59/52.48 tff(35668,plain,
% 80.59/52.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35669,plain,
% 80.59/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35670,plain,
% 80.59/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35669, 35668])).
% 80.59/52.48 tff(35671,plain,
% 80.59/52.48 (v256(constB163) | (~v258(constB164))),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35670, 12170, 21200])).
% 80.59/52.48 tff(35672,plain,
% 80.59/52.48 (~v258(constB164)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35671, 35667])).
% 80.59/52.48 tff(35673,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB164) | (~v259(constB164)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB164) | (~v259(constB164)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35674,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB164) | (~v259(constB164)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35675,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB164) | (~v259(constB164))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35674, 35673])).
% 80.59/52.48 tff(35676,plain,
% 80.59/52.48 (~v259(constB164)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35675, 12182, 35672])).
% 80.59/52.48 tff(35677,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB164) | (~v262(constB164)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB164) | (~v262(constB164)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35678,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB164) | (~v262(constB164)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35679,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB164) | (~v262(constB164))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35678, 35677])).
% 80.59/52.48 tff(35680,plain,
% 80.59/52.48 (~v262(constB164)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35679, 12193, 29727])).
% 80.59/52.48 tff(35681,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB164) | (~v261(constB164)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB164) | (~v261(constB164)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35682,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB164) | (~v261(constB164)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35683,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB164) | (~v261(constB164))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35682, 35681])).
% 80.59/52.48 tff(35684,plain,
% 80.59/52.48 (~v261(constB164)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35683, 12204, 35680])).
% 80.59/52.48 tff(35685,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB164) | (~v260(constB164)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB164) | (~v260(constB164)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35686,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB164) | (~v260(constB164)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35687,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB164) | (~v260(constB164))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35686, 35685])).
% 80.59/52.48 tff(35688,plain,
% 80.59/52.48 (~v260(constB164)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35687, 12215, 35684])).
% 80.59/52.48 tff(35689,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB164) | v260(constB164) | (~v256(constB164)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB164) | v260(constB164) | (~v256(constB164)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35690,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB164) | v260(constB164) | (~v256(constB164)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35691,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB164) | v260(constB164) | (~v256(constB164))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35690, 35689])).
% 80.59/52.48 tff(35692,plain,
% 80.59/52.48 (v259(constB164) | (~v256(constB164))),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35691, 12155, 35688])).
% 80.59/52.48 tff(35693,plain,
% 80.59/52.48 (~v256(constB164)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35692, 35676])).
% 80.59/52.48 tff(35694,plain,
% 80.59/52.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35695,plain,
% 80.59/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35696,plain,
% 80.59/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35695, 35694])).
% 80.59/52.48 tff(35697,plain,
% 80.59/52.48 (v256(constB164) | (~v258(constB165))),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35696, 12170, 21262])).
% 80.59/52.48 tff(35698,plain,
% 80.59/52.48 (~v258(constB165)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35697, 35693])).
% 80.59/52.48 tff(35699,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB165) | (~v271(constB165)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB165) | (~v271(constB165)))),
% 80.59/52.48 inference(rewrite,[status(thm)],[])).
% 80.59/52.48 tff(35700,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB165) | (~v271(constB165)))),
% 80.59/52.48 inference(quant_inst,[status(thm)],[])).
% 80.59/52.48 tff(35701,plain,
% 80.59/52.48 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB165) | (~v271(constB165))),
% 80.59/52.48 inference(modus_ponens,[status(thm)],[35700, 35699])).
% 80.59/52.48 tff(35702,plain,
% 80.59/52.48 (~v271(constB165)),
% 80.59/52.48 inference(unit_resolution,[status(thm)],[35701, 12236, 35698])).
% 80.59/52.48 tff(35703,plain,
% 80.59/52.48 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB161) | (~v260(constB161)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB161) | (~v260(constB161)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35704,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB161) | (~v260(constB161)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35705,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB161) | (~v260(constB161))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35704, 35703])).
% 80.65/52.48 tff(35706,plain,
% 80.65/52.48 (~v260(constB161)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35705, 12130, 20108])).
% 80.65/52.48 tff(35707,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB155) | (~v215(constB155)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB155) | (~v215(constB155)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35708,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB155) | (~v215(constB155)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35709,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB155) | (~v215(constB155))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35708, 35707])).
% 80.65/52.48 tff(35710,plain,
% 80.65/52.48 (~v215(constB155)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35709, 11147, 26342])).
% 80.65/52.48 tff(35711,plain,
% 80.65/52.48 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB155)) | (~v214(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB155)) | (~v214(constB155)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35712,plain,
% 80.65/52.48 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB155)) | (~v214(constB155)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35713,plain,
% 80.65/52.48 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB155)) | (~v214(constB155))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35712, 35711])).
% 80.65/52.48 tff(35714,plain,
% 80.65/52.48 (~v214(constB155)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35713, 11189, 19977])).
% 80.65/52.48 tff(35715,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB155) | v215(constB155) | (~v211(constB155)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB155) | v215(constB155) | (~v211(constB155)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35716,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB155) | v215(constB155) | (~v211(constB155)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35717,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB155) | v215(constB155) | (~v211(constB155))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35716, 35715])).
% 80.65/52.48 tff(35718,plain,
% 80.65/52.48 (v215(constB155) | (~v211(constB155))),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35717, 11203, 35714])).
% 80.65/52.48 tff(35719,plain,
% 80.65/52.48 (~v211(constB155)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35718, 35710])).
% 80.65/52.48 tff(35720,plain,
% 80.65/52.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB155, constB156)) | v211(constB155) | (~v213(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB155, constB156)) | v211(constB155) | (~v213(constB156)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35721,plain,
% 80.65/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB155, constB156)) | v211(constB155) | (~v213(constB156)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35722,plain,
% 80.65/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB155, constB156)) | v211(constB155) | (~v213(constB156))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35721, 35720])).
% 80.65/52.48 tff(35723,plain,
% 80.65/52.48 (v211(constB155) | (~v213(constB156))),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35722, 11218, 18968])).
% 80.65/52.48 tff(35724,plain,
% 80.65/52.48 (~v213(constB156)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35723, 35719])).
% 80.65/52.48 tff(35725,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB156) | (~v214(constB156)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB156) | (~v214(constB156)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35726,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB156) | (~v214(constB156)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35727,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB156) | (~v214(constB156))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35726, 35725])).
% 80.65/52.48 tff(35728,plain,
% 80.65/52.48 (~v214(constB156)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35727, 11230, 35724])).
% 80.65/52.48 tff(35729,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB156) | (~v217(constB156)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB156) | (~v217(constB156)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35730,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB156) | (~v217(constB156)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35731,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB156) | (~v217(constB156))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35730, 35729])).
% 80.65/52.48 tff(35732,plain,
% 80.65/52.48 (~v217(constB156)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35731, 11245, 20002])).
% 80.65/52.48 tff(35733,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB156) | (~v216(constB156)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB156) | (~v216(constB156)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35734,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB156) | (~v216(constB156)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35735,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB156) | (~v216(constB156))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35734, 35733])).
% 80.65/52.48 tff(35736,plain,
% 80.65/52.48 (~v216(constB156)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35735, 11256, 35732])).
% 80.65/52.48 tff(35737,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB156) | (~v215(constB156)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB156) | (~v215(constB156)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35738,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB156) | (~v215(constB156)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35739,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB156) | (~v215(constB156))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35738, 35737])).
% 80.65/52.48 tff(35740,plain,
% 80.65/52.48 (~v215(constB156)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35739, 11267, 35736])).
% 80.65/52.48 tff(35741,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB156) | v215(constB156) | (~v211(constB156)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB156) | v215(constB156) | (~v211(constB156)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35742,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB156) | v215(constB156) | (~v211(constB156)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35743,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB156) | v215(constB156) | (~v211(constB156))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35742, 35741])).
% 80.65/52.48 tff(35744,plain,
% 80.65/52.48 (v214(constB156) | (~v211(constB156))),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35743, 11203, 35740])).
% 80.65/52.48 tff(35745,plain,
% 80.65/52.48 (~v211(constB156)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35744, 35728])).
% 80.65/52.48 tff(35746,plain,
% 80.65/52.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB156, constB157)) | v211(constB156) | (~v213(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB156, constB157)) | v211(constB156) | (~v213(constB157)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35747,plain,
% 80.65/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB156, constB157)) | v211(constB156) | (~v213(constB157)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35748,plain,
% 80.65/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB156, constB157)) | v211(constB156) | (~v213(constB157))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35747, 35746])).
% 80.65/52.48 tff(35749,plain,
% 80.65/52.48 (v211(constB156) | (~v213(constB157))),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35748, 11218, 19030])).
% 80.65/52.48 tff(35750,plain,
% 80.65/52.48 (~v213(constB157)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35749, 35745])).
% 80.65/52.48 tff(35751,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB157) | (~v245(constB157)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB157) | (~v245(constB157)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35752,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB157) | (~v245(constB157)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35753,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB157) | (~v245(constB157))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 80.65/52.48 tff(35754,plain,
% 80.65/52.48 (~v245(constB157)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35753, 11683, 35750])).
% 80.65/52.48 tff(35755,plain,
% 80.65/52.48 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB157)) | (~v244(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB157)) | (~v244(constB157)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35756,plain,
% 80.65/52.48 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB157)) | (~v244(constB157)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35757,plain,
% 80.65/52.48 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB157)) | (~v244(constB157))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35756, 35755])).
% 80.65/52.48 tff(35758,plain,
% 80.65/52.48 (~v244(constB157)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35757, 11694, 19761])).
% 80.65/52.48 tff(35759,plain,
% 80.65/52.48 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB157) | v245(constB157) | (~v241(constB157)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB157) | v245(constB157) | (~v241(constB157)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35760,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB157) | v245(constB157) | (~v241(constB157)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35761,plain,
% 80.65/52.48 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB157) | v245(constB157) | (~v241(constB157))),
% 80.65/52.48 inference(modus_ponens,[status(thm)],[35760, 35759])).
% 80.65/52.48 tff(35762,plain,
% 80.65/52.48 (v245(constB157) | (~v241(constB157))),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35761, 11708, 35758])).
% 80.65/52.48 tff(35763,plain,
% 80.65/52.48 (~v241(constB157)),
% 80.65/52.48 inference(unit_resolution,[status(thm)],[35762, 35754])).
% 80.65/52.48 tff(35764,plain,
% 80.65/52.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB157, constB158)) | v241(constB157) | (~v243(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB157, constB158)) | v241(constB157) | (~v243(constB158)))),
% 80.65/52.48 inference(rewrite,[status(thm)],[])).
% 80.65/52.48 tff(35765,plain,
% 80.65/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB157, constB158)) | v241(constB157) | (~v243(constB158)))),
% 80.65/52.48 inference(quant_inst,[status(thm)],[])).
% 80.65/52.48 tff(35766,plain,
% 80.65/52.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB157, constB158)) | v241(constB157) | (~v243(constB158))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35765, 35764])).
% 80.65/52.49 tff(35767,plain,
% 80.65/52.49 (v241(constB157) | (~v243(constB158))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35766, 11723, 19143])).
% 80.65/52.49 tff(35768,plain,
% 80.65/52.49 (~v243(constB158)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35767, 35763])).
% 80.65/52.49 tff(35769,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB158) | (~v244(constB158)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB158) | (~v244(constB158)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35770,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB158) | (~v244(constB158)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35771,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB158) | (~v244(constB158))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35770, 35769])).
% 80.65/52.49 tff(35772,plain,
% 80.65/52.49 (~v244(constB158)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35771, 11735, 35768])).
% 80.65/52.49 tff(35773,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB158) | (~v247(constB158)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB158) | (~v247(constB158)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35774,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB158) | (~v247(constB158)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35775,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB158) | (~v247(constB158))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35774, 35773])).
% 80.65/52.49 tff(35776,plain,
% 80.65/52.49 (~v247(constB158)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35775, 11746, 19786])).
% 80.65/52.49 tff(35777,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB158) | (~v246(constB158)))) <=> ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB158) | (~v246(constB158)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35778,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB158) | (~v246(constB158)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35779,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB158) | (~v246(constB158))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35778, 35777])).
% 80.65/52.49 tff(35780,plain,
% 80.65/52.49 (~v246(constB158)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35779, 11757, 35776])).
% 80.65/52.49 tff(35781,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB158) | (~v245(constB158)))) <=> ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB158) | (~v245(constB158)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35782,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB158) | (~v245(constB158)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35783,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB158) | (~v245(constB158))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35782, 35781])).
% 80.65/52.49 tff(35784,plain,
% 80.65/52.49 (~v245(constB158)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35783, 11768, 35780])).
% 80.65/52.49 tff(35785,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB158) | v245(constB158) | (~v241(constB158)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB158) | v245(constB158) | (~v241(constB158)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35786,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB158) | v245(constB158) | (~v241(constB158)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35787,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB158) | v245(constB158) | (~v241(constB158))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35786, 35785])).
% 80.65/52.49 tff(35788,plain,
% 80.65/52.49 (v244(constB158) | (~v241(constB158))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35787, 11708, 35784])).
% 80.65/52.49 tff(35789,plain,
% 80.65/52.49 (~v241(constB158)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35788, 35772])).
% 80.65/52.49 tff(35790,plain,
% 80.65/52.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB158, constB159)) | v241(constB158) | (~v243(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB158, constB159)) | v241(constB158) | (~v243(constB159)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35791,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB158, constB159)) | v241(constB158) | (~v243(constB159)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35792,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB158, constB159)) | v241(constB158) | (~v243(constB159))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35791, 35790])).
% 80.65/52.49 tff(35793,plain,
% 80.65/52.49 (v241(constB158) | (~v243(constB159))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35792, 11723, 19235])).
% 80.65/52.49 tff(35794,plain,
% 80.65/52.49 (~v243(constB159)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35793, 35789])).
% 80.65/52.49 tff(35795,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB159) | (~v260(constB159)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB159) | (~v260(constB159)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35796,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB159) | (~v260(constB159)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35797,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB159) | (~v260(constB159))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 80.65/52.49 tff(35798,plain,
% 80.65/52.49 (~v260(constB159)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35797, 12130, 35794])).
% 80.65/52.49 tff(35799,plain,
% 80.65/52.49 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB159)) | (~v259(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB159)) | (~v259(constB159)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35800,plain,
% 80.65/52.49 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB159)) | (~v259(constB159)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35801,plain,
% 80.65/52.49 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB159)) | (~v259(constB159))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35800, 35799])).
% 80.65/52.49 tff(35802,plain,
% 80.65/52.49 (~v259(constB159)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35801, 12141, 19839])).
% 80.65/52.49 tff(35803,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB159) | v260(constB159) | (~v256(constB159)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB159) | v260(constB159) | (~v256(constB159)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35804,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB159) | v260(constB159) | (~v256(constB159)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35805,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB159) | v260(constB159) | (~v256(constB159))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35804, 35803])).
% 80.65/52.49 tff(35806,plain,
% 80.65/52.49 (v260(constB159) | (~v256(constB159))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35805, 12155, 35802])).
% 80.65/52.49 tff(35807,plain,
% 80.65/52.49 (~v256(constB159)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35806, 35798])).
% 80.65/52.49 tff(35808,plain,
% 80.65/52.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB159, constB160)) | v256(constB159) | (~v258(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB159, constB160)) | v256(constB159) | (~v258(constB160)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35809,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB159, constB160)) | v256(constB159) | (~v258(constB160)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35810,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB159, constB160)) | v256(constB159) | (~v258(constB160))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35809, 35808])).
% 80.65/52.49 tff(35811,plain,
% 80.65/52.49 (v256(constB159) | (~v258(constB160))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35810, 12170, 19374])).
% 80.65/52.49 tff(35812,plain,
% 80.65/52.49 (~v258(constB160)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35811, 35807])).
% 80.65/52.49 tff(35813,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB160) | (~v259(constB160)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB160) | (~v259(constB160)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35814,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB160) | (~v259(constB160)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35815,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB160) | (~v259(constB160))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35814, 35813])).
% 80.65/52.49 tff(35816,plain,
% 80.65/52.49 (~v259(constB160)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35815, 12182, 35812])).
% 80.65/52.49 tff(35817,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB160) | (~v260(constB160)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB160) | (~v260(constB160)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35818,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB160) | (~v260(constB160)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35819,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB160) | (~v260(constB160))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35818, 35817])).
% 80.65/52.49 tff(35820,plain,
% 80.65/52.49 (~v260(constB160)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35819, 12215, 20486])).
% 80.65/52.49 tff(35821,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB160) | v260(constB160) | (~v256(constB160)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB160) | v260(constB160) | (~v256(constB160)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35822,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB160) | v260(constB160) | (~v256(constB160)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35823,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB160) | v260(constB160) | (~v256(constB160))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35822, 35821])).
% 80.65/52.49 tff(35824,plain,
% 80.65/52.49 (v259(constB160) | (~v256(constB160))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35823, 12155, 35820])).
% 80.65/52.49 tff(35825,plain,
% 80.65/52.49 (~v256(constB160)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35824, 35816])).
% 80.65/52.49 tff(35826,plain,
% 80.65/52.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB160, constB161)) | v256(constB160) | (~v258(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB160, constB161)) | v256(constB160) | (~v258(constB161)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35827,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB160, constB161)) | v256(constB160) | (~v258(constB161)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35828,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB160, constB161)) | v256(constB160) | (~v258(constB161))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35827, 35826])).
% 80.65/52.49 tff(35829,plain,
% 80.65/52.49 (v256(constB160) | (~v258(constB161))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35828, 12170, 19436])).
% 80.65/52.49 tff(35830,plain,
% 80.65/52.49 (~v258(constB161)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35829, 35825])).
% 80.65/52.49 tff(35831,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB161) | (~v259(constB161)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB161) | (~v259(constB161)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35832,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB161) | (~v259(constB161)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35833,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB161) | (~v259(constB161))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35832, 35831])).
% 80.65/52.49 tff(35834,plain,
% 80.65/52.49 (~v259(constB161)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35833, 12182, 35830])).
% 80.65/52.49 tff(35835,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB161) | v260(constB161) | (~v256(constB161)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB161) | v260(constB161) | (~v256(constB161)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35836,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB161) | v260(constB161) | (~v256(constB161)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35837,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB161) | v260(constB161) | (~v256(constB161))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35836, 35835])).
% 80.65/52.49 tff(35838,plain,
% 80.65/52.49 (v260(constB161) | (~v256(constB161))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35837, 12155, 35834])).
% 80.65/52.49 tff(35839,plain,
% 80.65/52.49 (~v256(constB161)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35838, 35706])).
% 80.65/52.49 tff(35840,plain,
% 80.65/52.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB161, constB162)) | v256(constB161) | (~v258(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB161, constB162)) | v256(constB161) | (~v258(constB162)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35841,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB161, constB162)) | v256(constB161) | (~v258(constB162)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35842,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB161, constB162)) | v256(constB161) | (~v258(constB162))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35841, 35840])).
% 80.65/52.49 tff(35843,plain,
% 80.65/52.49 (v256(constB161) | (~v258(constB162))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35842, 12170, 21013])).
% 80.65/52.49 tff(35844,plain,
% 80.65/52.49 (~v258(constB162)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35843, 35839])).
% 80.65/52.49 tff(35845,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB162) | (~v259(constB162)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB162) | (~v259(constB162)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35846,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB162) | (~v259(constB162)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35847,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB162) | (~v259(constB162))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35846, 35845])).
% 80.65/52.49 tff(35848,plain,
% 80.65/52.49 (~v259(constB162)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35847, 12182, 35844])).
% 80.65/52.49 tff(35849,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB162) | (~v262(constB162)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB162) | (~v262(constB162)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35850,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB162) | (~v262(constB162)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35851,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB162) | (~v262(constB162))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35850, 35849])).
% 80.65/52.49 tff(35852,plain,
% 80.65/52.49 (~v262(constB162)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35851, 12193, 35632])).
% 80.65/52.49 tff(35853,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB162) | (~v261(constB162)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB162) | (~v261(constB162)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35854,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB162) | (~v261(constB162)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35855,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB162) | (~v261(constB162))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35854, 35853])).
% 80.65/52.49 tff(35856,plain,
% 80.65/52.49 (~v261(constB162)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35855, 12204, 35852])).
% 80.65/52.49 tff(35857,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB162) | (~v260(constB162)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB162) | (~v260(constB162)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35858,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB162) | (~v260(constB162)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35859,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB162) | (~v260(constB162))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35858, 35857])).
% 80.65/52.49 tff(35860,plain,
% 80.65/52.49 (~v260(constB162)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35859, 12215, 35856])).
% 80.65/52.49 tff(35861,plain,
% 80.65/52.49 (((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB162) | v260(constB162) | (~v256(constB162)))) <=> ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB162) | v260(constB162) | (~v256(constB162)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35862,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB162) | v260(constB162) | (~v256(constB162)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35863,plain,
% 80.65/52.49 ((~![VarCurr: $i] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB162) | v260(constB162) | (~v256(constB162))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35862, 35861])).
% 80.65/52.49 tff(35864,plain,
% 80.65/52.49 (v259(constB162) | (~v256(constB162))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35863, 12155, 35860])).
% 80.65/52.49 tff(35865,plain,
% 80.65/52.49 (~v256(constB162)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35864, 35848])).
% 80.65/52.49 tff(35866,plain,
% 80.65/52.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB162, constB163)) | v256(constB162) | (~v258(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB162, constB163)) | v256(constB162) | (~v258(constB163)))),
% 80.65/52.49 inference(rewrite,[status(thm)],[])).
% 80.65/52.49 tff(35867,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB162, constB163)) | v256(constB162) | (~v258(constB163)))),
% 80.65/52.49 inference(quant_inst,[status(thm)],[])).
% 80.65/52.49 tff(35868,plain,
% 80.65/52.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB162, constB163)) | v256(constB162) | (~v258(constB163))),
% 80.65/52.49 inference(modus_ponens,[status(thm)],[35867, 35866])).
% 80.65/52.49 tff(35869,plain,
% 80.65/52.49 (v256(constB162) | (~v258(constB163))),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35868, 12170, 21078])).
% 80.65/52.49 tff(35870,plain,
% 80.65/52.49 (~v258(constB163)),
% 80.65/52.49 inference(unit_resolution,[status(thm)],[35869, 35865])).
% 80.65/52.50 tff(35871,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB163) | (~v271(constB163)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB163) | (~v271(constB163)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35872,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB163) | (~v271(constB163)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35873,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB163) | (~v271(constB163))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35872, 35871])).
% 80.65/52.50 tff(35874,plain,
% 80.65/52.50 (~v271(constB163)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35873, 12236, 35870])).
% 80.65/52.50 tff(35875,plain,
% 80.65/52.50 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB163)) | (~v270(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB163)) | (~v270(constB163)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35876,plain,
% 80.65/52.50 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB163)) | (~v270(constB163)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35877,plain,
% 80.65/52.50 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB163)) | (~v270(constB163))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35876, 35875])).
% 80.65/52.50 tff(35878,plain,
% 80.65/52.50 (~v270(constB163)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35877, 12247, 29702])).
% 80.65/52.50 tff(35879,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB163)) | v271(constB163) | v270(constB163))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB163)) | v271(constB163) | v270(constB163))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35880,plain,
% 80.65/52.50 ((v271(constB163) | v270(constB163) | (~v267(constB163))) <=> ((~v267(constB163)) | v271(constB163) | v270(constB163))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35881,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB163) | v270(constB163) | (~v267(constB163)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB163)) | v271(constB163) | v270(constB163)))),
% 80.65/52.50 inference(monotonicity,[status(thm)],[35880])).
% 80.65/52.50 tff(35882,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB163) | v270(constB163) | (~v267(constB163)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB163)) | v271(constB163) | v270(constB163))),
% 80.65/52.50 inference(transitivity,[status(thm)],[35881, 35879])).
% 80.65/52.50 tff(35883,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB163) | v270(constB163) | (~v267(constB163)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35884,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB163)) | v271(constB163) | v270(constB163)),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35883, 35882])).
% 80.65/52.50 tff(35885,plain,
% 80.65/52.50 ((~v267(constB163)) | v271(constB163)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35884, 12261, 35878])).
% 80.65/52.50 tff(35886,plain,
% 80.65/52.50 (~v267(constB163)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35885, 35874])).
% 80.65/52.50 tff(35887,plain,
% 80.65/52.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB163, constB164)) | v267(constB163) | (~v269(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB163, constB164)) | v267(constB163) | (~v269(constB164)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35888,plain,
% 80.65/52.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB163, constB164)) | v267(constB163) | (~v269(constB164)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35889,plain,
% 80.65/52.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB163, constB164)) | v267(constB163) | (~v269(constB164))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35888, 35887])).
% 80.65/52.50 tff(35890,plain,
% 80.65/52.50 (v267(constB163) | (~v269(constB164))),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35889, 12279, 21200])).
% 80.65/52.50 tff(35891,plain,
% 80.65/52.50 (~v269(constB164)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35890, 35886])).
% 80.65/52.50 tff(35892,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB164) | (~v270(constB164)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB164) | (~v270(constB164)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35893,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB164) | (~v270(constB164)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35894,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB164) | (~v270(constB164))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35893, 35892])).
% 80.65/52.50 tff(35895,plain,
% 80.65/52.50 (~v270(constB164)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35894, 12291, 35891])).
% 80.65/52.50 tff(35896,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB164) | (~v271(constB164)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB164) | (~v271(constB164)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35897,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB164) | (~v271(constB164)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35898,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB164) | (~v271(constB164))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35897, 35896])).
% 80.65/52.50 tff(35899,plain,
% 80.65/52.50 (~v271(constB164)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35898, 12310, 35684])).
% 80.65/52.50 tff(35900,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB164)) | v271(constB164) | v270(constB164))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB164)) | v271(constB164) | v270(constB164))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35901,plain,
% 80.65/52.50 ((v271(constB164) | v270(constB164) | (~v267(constB164))) <=> ((~v267(constB164)) | v271(constB164) | v270(constB164))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35902,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB164) | v270(constB164) | (~v267(constB164)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB164)) | v271(constB164) | v270(constB164)))),
% 80.65/52.50 inference(monotonicity,[status(thm)],[35901])).
% 80.65/52.50 tff(35903,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB164) | v270(constB164) | (~v267(constB164)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB164)) | v271(constB164) | v270(constB164))),
% 80.65/52.50 inference(transitivity,[status(thm)],[35902, 35900])).
% 80.65/52.50 tff(35904,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB164) | v270(constB164) | (~v267(constB164)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35905,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB164)) | v271(constB164) | v270(constB164)),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35904, 35903])).
% 80.65/52.50 tff(35906,plain,
% 80.65/52.50 ((~v267(constB164)) | v270(constB164)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35905, 12261, 35899])).
% 80.65/52.50 tff(35907,plain,
% 80.65/52.50 (~v267(constB164)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35906, 35895])).
% 80.65/52.50 tff(35908,plain,
% 80.65/52.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB164, constB165)) | v267(constB164) | (~v269(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB164, constB165)) | v267(constB164) | (~v269(constB165)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35909,plain,
% 80.65/52.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB164, constB165)) | v267(constB164) | (~v269(constB165)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35910,plain,
% 80.65/52.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB164, constB165)) | v267(constB164) | (~v269(constB165))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35909, 35908])).
% 80.65/52.50 tff(35911,plain,
% 80.65/52.50 (v267(constB164) | (~v269(constB165))),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35910, 12279, 21262])).
% 80.65/52.50 tff(35912,plain,
% 80.65/52.50 (~v269(constB165)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35911, 35907])).
% 80.65/52.50 tff(35913,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB165) | (~v270(constB165)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB165) | (~v270(constB165)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35914,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB165) | (~v270(constB165)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35915,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB165) | (~v270(constB165))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35914, 35913])).
% 80.65/52.50 tff(35916,plain,
% 80.65/52.50 (~v270(constB165)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35915, 12291, 35912])).
% 80.65/52.50 tff(35917,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB165)) | v270(constB165) | v271(constB165))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB165)) | v270(constB165) | v271(constB165))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35918,plain,
% 80.65/52.50 ((v271(constB165) | v270(constB165) | (~v267(constB165))) <=> ((~v267(constB165)) | v270(constB165) | v271(constB165))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35919,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB165) | v270(constB165) | (~v267(constB165)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB165)) | v270(constB165) | v271(constB165)))),
% 80.65/52.50 inference(monotonicity,[status(thm)],[35918])).
% 80.65/52.50 tff(35920,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB165) | v270(constB165) | (~v267(constB165)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB165)) | v270(constB165) | v271(constB165))),
% 80.65/52.50 inference(transitivity,[status(thm)],[35919, 35917])).
% 80.65/52.50 tff(35921,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB165) | v270(constB165) | (~v267(constB165)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35922,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB165)) | v270(constB165) | v271(constB165)),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35921, 35920])).
% 80.65/52.50 tff(35923,plain,
% 80.65/52.50 ((~v267(constB165)) | v271(constB165)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35922, 12261, 35916])).
% 80.65/52.50 tff(35924,plain,
% 80.65/52.50 (~v267(constB165)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35923, 35702])).
% 80.65/52.50 tff(35925,plain,
% 80.65/52.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35926,plain,
% 80.65/52.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35927,plain,
% 80.65/52.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35926, 35925])).
% 80.65/52.50 tff(35928,plain,
% 80.65/52.50 (v267(constB165) | (~v269(constB166))),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35927, 12279, 21374])).
% 80.65/52.50 tff(35929,plain,
% 80.65/52.50 (~v269(constB166)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35928, 35924])).
% 80.65/52.50 tff(35930,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB166) | (~v270(constB166)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB166) | (~v270(constB166)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35931,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB166) | (~v270(constB166)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35932,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB166) | (~v270(constB166))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35931, 35930])).
% 80.65/52.50 tff(35933,plain,
% 80.65/52.50 (~v270(constB166)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35932, 12291, 35929])).
% 80.65/52.50 tff(35934,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB166) | (~v262(constB166)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB166) | (~v262(constB166)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35935,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB166) | (~v262(constB166)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35936,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB166) | (~v262(constB166))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35935, 35934])).
% 80.65/52.50 tff(35937,plain,
% 80.65/52.50 (~v262(constB166)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35936, 12193, 29767])).
% 80.65/52.50 tff(35938,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB166) | (~v261(constB166)))) <=> ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB166) | (~v261(constB166)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35939,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB166) | (~v261(constB166)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35940,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB166) | (~v261(constB166))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35939, 35938])).
% 80.65/52.50 tff(35941,plain,
% 80.65/52.50 (~v261(constB166)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35940, 12204, 35937])).
% 80.65/52.50 tff(35942,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB166) | (~v271(constB166)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB166) | (~v271(constB166)))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35943,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB166) | (~v271(constB166)))),
% 80.65/52.50 inference(quant_inst,[status(thm)],[])).
% 80.65/52.50 tff(35944,plain,
% 80.65/52.50 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB166) | (~v271(constB166))),
% 80.65/52.50 inference(modus_ponens,[status(thm)],[35943, 35942])).
% 80.65/52.50 tff(35945,plain,
% 80.65/52.50 (~v271(constB166)),
% 80.65/52.50 inference(unit_resolution,[status(thm)],[35944, 12310, 35941])).
% 80.65/52.50 tff(35946,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB166)) | v271(constB166) | v270(constB166))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB166)) | v271(constB166) | v270(constB166))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35947,plain,
% 80.65/52.50 ((v271(constB166) | v270(constB166) | (~v267(constB166))) <=> ((~v267(constB166)) | v271(constB166) | v270(constB166))),
% 80.65/52.50 inference(rewrite,[status(thm)],[])).
% 80.65/52.50 tff(35948,plain,
% 80.65/52.50 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB166) | v270(constB166) | (~v267(constB166)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB166)) | v271(constB166) | v270(constB166)))),
% 80.65/52.50 inference(monotonicity,[status(thm)],[35947])).
% 80.65/52.51 tff(35949,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB166) | v270(constB166) | (~v267(constB166)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB166)) | v271(constB166) | v270(constB166))),
% 80.65/52.51 inference(transitivity,[status(thm)],[35948, 35946])).
% 80.65/52.51 tff(35950,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB166) | v270(constB166) | (~v267(constB166)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35951,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB166)) | v271(constB166) | v270(constB166)),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35950, 35949])).
% 80.65/52.51 tff(35952,plain,
% 80.65/52.51 ((~v267(constB166)) | v270(constB166)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35951, 12261, 35945])).
% 80.65/52.51 tff(35953,plain,
% 80.65/52.51 (~v267(constB166)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35952, 35933])).
% 80.65/52.51 tff(35954,plain,
% 80.65/52.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35955,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35956,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35955, 35954])).
% 80.65/52.51 tff(35957,plain,
% 80.65/52.51 (v267(constB166) | (~v269(constB167))),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35956, 12279, 21645])).
% 80.65/52.51 tff(35958,plain,
% 80.65/52.51 (~v269(constB167)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35957, 35953])).
% 80.65/52.51 tff(35959,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB167) | (~v307(constB167)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB167) | (~v307(constB167)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35960,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB167) | (~v307(constB167)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35961,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB167) | (~v307(constB167))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35960, 35959])).
% 80.65/52.51 tff(35962,plain,
% 80.65/52.51 (~v307(constB167)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35961, 20510, 35958])).
% 80.65/52.51 tff(35963,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB167) | (~v290(constB167)) | v289(constB167))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB167) | (~v290(constB167)) | v289(constB167))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35964,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB167) | (~v290(constB167)) | v289(constB167))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35965,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v307(constB167) | (~v290(constB167)) | v289(constB167)),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35964, 35963])).
% 80.65/52.51 tff(35966,plain,
% 80.65/52.51 ((~v290(constB167)) | v289(constB167)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35965, 11821, 35962])).
% 80.65/52.51 tff(35967,plain,
% 80.65/52.51 (v289(constB167)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35966, 35606])).
% 80.65/52.51 tff(35968,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB165) | (~v282(constB165)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB165) | (~v282(constB165)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35969,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB165) | (~v282(constB165)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35970,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB165) | (~v282(constB165))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35969, 35968])).
% 80.65/52.51 tff(35971,plain,
% 80.65/52.51 (~v282(constB165)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35970, 12334, 35912])).
% 80.65/52.51 tff(35972,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB161) | (~v270(constB161)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB161) | (~v270(constB161)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35973,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB161) | (~v270(constB161)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35974,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB161) | (~v270(constB161))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35973, 35972])).
% 80.65/52.51 tff(35975,plain,
% 80.65/52.51 (~v270(constB161)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35974, 12291, 20503])).
% 80.65/52.51 tff(35976,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB161) | (~v271(constB161)))) <=> ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB161) | (~v271(constB161)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35977,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB161) | (~v271(constB161)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35978,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB161) | (~v271(constB161))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35977, 35976])).
% 80.65/52.51 tff(35979,plain,
% 80.65/52.51 (~v271(constB161)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35978, 12236, 35830])).
% 80.65/52.51 tff(35980,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB161)) | v271(constB161) | v270(constB161))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB161)) | v271(constB161) | v270(constB161))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35981,plain,
% 80.65/52.51 ((v271(constB161) | v270(constB161) | (~v267(constB161))) <=> ((~v267(constB161)) | v271(constB161) | v270(constB161))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35982,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB161) | v270(constB161) | (~v267(constB161)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB161)) | v271(constB161) | v270(constB161)))),
% 80.65/52.51 inference(monotonicity,[status(thm)],[35981])).
% 80.65/52.51 tff(35983,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB161) | v270(constB161) | (~v267(constB161)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB161)) | v271(constB161) | v270(constB161))),
% 80.65/52.51 inference(transitivity,[status(thm)],[35982, 35980])).
% 80.65/52.51 tff(35984,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB161) | v270(constB161) | (~v267(constB161)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35985,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB161)) | v271(constB161) | v270(constB161)),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35984, 35983])).
% 80.65/52.51 tff(35986,plain,
% 80.65/52.51 ((~v267(constB161)) | v270(constB161)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35985, 12261, 35979])).
% 80.65/52.51 tff(35987,plain,
% 80.65/52.51 (~v267(constB161)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35986, 35975])).
% 80.65/52.51 tff(35988,plain,
% 80.65/52.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB161, constB162)) | v267(constB161) | (~v269(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB161, constB162)) | v267(constB161) | (~v269(constB162)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35989,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB161, constB162)) | v267(constB161) | (~v269(constB162)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35990,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB161, constB162)) | v267(constB161) | (~v269(constB162))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35989, 35988])).
% 80.65/52.51 tff(35991,plain,
% 80.65/52.51 (v267(constB161) | (~v269(constB162))),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35990, 12279, 21013])).
% 80.65/52.51 tff(35992,plain,
% 80.65/52.51 (~v269(constB162)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35991, 35987])).
% 80.65/52.51 tff(35993,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB162) | (~v270(constB162)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB162) | (~v270(constB162)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35994,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB162) | (~v270(constB162)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35995,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB162) | (~v270(constB162))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35994, 35993])).
% 80.65/52.51 tff(35996,plain,
% 80.65/52.51 (~v270(constB162)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35995, 12291, 35992])).
% 80.65/52.51 tff(35997,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB162) | (~v271(constB162)))) <=> ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB162) | (~v271(constB162)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(35998,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB162) | (~v271(constB162)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(35999,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB162) | (~v271(constB162))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[35998, 35997])).
% 80.65/52.51 tff(36000,plain,
% 80.65/52.51 (~v271(constB162)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[35999, 12310, 35856])).
% 80.65/52.51 tff(36001,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB162)) | v271(constB162) | v270(constB162))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB162)) | v271(constB162) | v270(constB162))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36002,plain,
% 80.65/52.51 ((v271(constB162) | v270(constB162) | (~v267(constB162))) <=> ((~v267(constB162)) | v271(constB162) | v270(constB162))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36003,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB162) | v270(constB162) | (~v267(constB162)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | ((~v267(constB162)) | v271(constB162) | v270(constB162)))),
% 80.65/52.51 inference(monotonicity,[status(thm)],[36002])).
% 80.65/52.51 tff(36004,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB162) | v270(constB162) | (~v267(constB162)))) <=> ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB162)) | v271(constB162) | v270(constB162))),
% 80.65/52.51 inference(transitivity,[status(thm)],[36003, 36001])).
% 80.65/52.51 tff(36005,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (v271(constB162) | v270(constB162) | (~v267(constB162)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36006,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v271(VarCurr) | v270(VarCurr) | (~v267(VarCurr)))) | (~v267(constB162)) | v271(constB162) | v270(constB162)),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36005, 36004])).
% 80.65/52.51 tff(36007,plain,
% 80.65/52.51 ((~v267(constB162)) | v270(constB162)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36006, 12261, 36000])).
% 80.65/52.51 tff(36008,plain,
% 80.65/52.51 (~v267(constB162)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36007, 35996])).
% 80.65/52.51 tff(36009,plain,
% 80.65/52.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB162, constB163)) | v267(constB162) | (~v269(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB162, constB163)) | v267(constB162) | (~v269(constB163)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36010,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB162, constB163)) | v267(constB162) | (~v269(constB163)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36011,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB162, constB163)) | v267(constB162) | (~v269(constB163))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36010, 36009])).
% 80.65/52.51 tff(36012,plain,
% 80.65/52.51 (v267(constB162) | (~v269(constB163))),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36011, 12279, 21078])).
% 80.65/52.51 tff(36013,plain,
% 80.65/52.51 (~v269(constB163)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36012, 36008])).
% 80.65/52.51 tff(36014,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB163) | (~v282(constB163)))) <=> ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB163) | (~v282(constB163)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36015,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB163) | (~v282(constB163)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36016,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB163) | (~v282(constB163))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36015, 36014])).
% 80.65/52.51 tff(36017,plain,
% 80.65/52.51 (~v282(constB163)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36016, 12334, 36013])).
% 80.65/52.51 tff(36018,plain,
% 80.65/52.51 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB163)) | (~v281(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB163)) | (~v281(constB163)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36019,plain,
% 80.65/52.51 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB163)) | (~v281(constB163)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36020,plain,
% 80.65/52.51 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB163)) | (~v281(constB163))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36019, 36018])).
% 80.65/52.51 tff(36021,plain,
% 80.65/52.51 (~v281(constB163)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36020, 12345, 29702])).
% 80.65/52.51 tff(36022,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB163)) | v282(constB163) | v281(constB163))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB163)) | v282(constB163) | v281(constB163))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36023,plain,
% 80.65/52.51 ((v282(constB163) | v281(constB163) | (~v278(constB163))) <=> ((~v278(constB163)) | v282(constB163) | v281(constB163))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36024,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB163) | v281(constB163) | (~v278(constB163)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB163)) | v282(constB163) | v281(constB163)))),
% 80.65/52.51 inference(monotonicity,[status(thm)],[36023])).
% 80.65/52.51 tff(36025,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB163) | v281(constB163) | (~v278(constB163)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB163)) | v282(constB163) | v281(constB163))),
% 80.65/52.51 inference(transitivity,[status(thm)],[36024, 36022])).
% 80.65/52.51 tff(36026,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB163) | v281(constB163) | (~v278(constB163)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36027,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB163)) | v282(constB163) | v281(constB163)),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36026, 36025])).
% 80.65/52.51 tff(36028,plain,
% 80.65/52.51 ((~v278(constB163)) | v282(constB163)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36027, 12359, 36021])).
% 80.65/52.51 tff(36029,plain,
% 80.65/52.51 (~v278(constB163)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36028, 36017])).
% 80.65/52.51 tff(36030,plain,
% 80.65/52.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB163, constB164)) | v278(constB163) | (~v280(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB163, constB164)) | v278(constB163) | (~v280(constB164)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36031,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB163, constB164)) | v278(constB163) | (~v280(constB164)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36032,plain,
% 80.65/52.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB163, constB164)) | v278(constB163) | (~v280(constB164))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36031, 36030])).
% 80.65/52.51 tff(36033,plain,
% 80.65/52.51 (v278(constB163) | (~v280(constB164))),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36032, 12377, 21200])).
% 80.65/52.51 tff(36034,plain,
% 80.65/52.51 (~v280(constB164)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36033, 36029])).
% 80.65/52.51 tff(36035,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB164) | (~v281(constB164)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB164) | (~v281(constB164)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36036,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB164) | (~v281(constB164)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36037,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB164) | (~v281(constB164))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36036, 36035])).
% 80.65/52.51 tff(36038,plain,
% 80.65/52.51 (~v281(constB164)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36037, 12389, 36034])).
% 80.65/52.51 tff(36039,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB164) | (~v282(constB164)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB164) | (~v282(constB164)))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36040,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB164) | (~v282(constB164)))),
% 80.65/52.51 inference(quant_inst,[status(thm)],[])).
% 80.65/52.51 tff(36041,plain,
% 80.65/52.51 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB164) | (~v282(constB164))),
% 80.65/52.51 inference(modus_ponens,[status(thm)],[36040, 36039])).
% 80.65/52.51 tff(36042,plain,
% 80.65/52.51 (~v282(constB164)),
% 80.65/52.51 inference(unit_resolution,[status(thm)],[36041, 12400, 29970])).
% 80.65/52.51 tff(36043,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB164)) | v282(constB164) | v281(constB164))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB164)) | v282(constB164) | v281(constB164))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36044,plain,
% 80.65/52.51 ((v282(constB164) | v281(constB164) | (~v278(constB164))) <=> ((~v278(constB164)) | v282(constB164) | v281(constB164))),
% 80.65/52.51 inference(rewrite,[status(thm)],[])).
% 80.65/52.51 tff(36045,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB164) | v281(constB164) | (~v278(constB164)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB164)) | v282(constB164) | v281(constB164)))),
% 80.65/52.51 inference(monotonicity,[status(thm)],[36044])).
% 80.65/52.51 tff(36046,plain,
% 80.65/52.51 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB164) | v281(constB164) | (~v278(constB164)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB164)) | v282(constB164) | v281(constB164))),
% 80.65/52.52 inference(transitivity,[status(thm)],[36045, 36043])).
% 80.65/52.52 tff(36047,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB164) | v281(constB164) | (~v278(constB164)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36048,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB164)) | v282(constB164) | v281(constB164)),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36047, 36046])).
% 80.65/52.52 tff(36049,plain,
% 80.65/52.52 ((~v278(constB164)) | v281(constB164)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36048, 12359, 36042])).
% 80.65/52.52 tff(36050,plain,
% 80.65/52.52 (~v278(constB164)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36049, 36038])).
% 80.65/52.52 tff(36051,plain,
% 80.65/52.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB164, constB165)) | v278(constB164) | (~v280(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB164, constB165)) | v278(constB164) | (~v280(constB165)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36052,plain,
% 80.65/52.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB164, constB165)) | v278(constB164) | (~v280(constB165)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36053,plain,
% 80.65/52.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB164, constB165)) | v278(constB164) | (~v280(constB165))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36052, 36051])).
% 80.65/52.52 tff(36054,plain,
% 80.65/52.52 (v278(constB164) | (~v280(constB165))),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36053, 12377, 21262])).
% 80.65/52.52 tff(36055,plain,
% 80.65/52.52 (~v280(constB165)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36054, 36050])).
% 80.65/52.52 tff(36056,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB165) | (~v281(constB165)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB165) | (~v281(constB165)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36057,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB165) | (~v281(constB165)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36058,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB165) | (~v281(constB165))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 80.65/52.52 tff(36059,plain,
% 80.65/52.52 (~v281(constB165)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36058, 12389, 36055])).
% 80.65/52.52 tff(36060,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB165)) | v282(constB165) | v281(constB165))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB165)) | v282(constB165) | v281(constB165))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36061,plain,
% 80.65/52.52 ((v282(constB165) | v281(constB165) | (~v278(constB165))) <=> ((~v278(constB165)) | v282(constB165) | v281(constB165))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36062,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB165) | v281(constB165) | (~v278(constB165)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB165)) | v282(constB165) | v281(constB165)))),
% 80.65/52.52 inference(monotonicity,[status(thm)],[36061])).
% 80.65/52.52 tff(36063,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB165) | v281(constB165) | (~v278(constB165)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB165)) | v282(constB165) | v281(constB165))),
% 80.65/52.52 inference(transitivity,[status(thm)],[36062, 36060])).
% 80.65/52.52 tff(36064,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB165) | v281(constB165) | (~v278(constB165)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36065,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB165)) | v282(constB165) | v281(constB165)),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36064, 36063])).
% 80.65/52.52 tff(36066,plain,
% 80.65/52.52 ((~v278(constB165)) | v282(constB165)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36065, 12359, 36059])).
% 80.65/52.52 tff(36067,plain,
% 80.65/52.52 (~v278(constB165)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36066, 35971])).
% 80.65/52.52 tff(36068,plain,
% 80.65/52.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB165, constB166)) | v278(constB165) | (~v280(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB165, constB166)) | v278(constB165) | (~v280(constB166)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36069,plain,
% 80.65/52.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB165, constB166)) | v278(constB165) | (~v280(constB166)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36070,plain,
% 80.65/52.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB165, constB166)) | v278(constB165) | (~v280(constB166))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36069, 36068])).
% 80.65/52.52 tff(36071,plain,
% 80.65/52.52 (v278(constB165) | (~v280(constB166))),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36070, 12377, 21374])).
% 80.65/52.52 tff(36072,plain,
% 80.65/52.52 (~v280(constB166)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36071, 36067])).
% 80.65/52.52 tff(36073,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB166) | (~v281(constB166)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB166) | (~v281(constB166)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36074,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB166) | (~v281(constB166)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36075,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB166) | (~v281(constB166))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36074, 36073])).
% 80.65/52.52 tff(36076,plain,
% 80.65/52.52 (~v281(constB166)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36075, 12389, 36072])).
% 80.65/52.52 tff(36077,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB166) | (~v282(constB166)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB166) | (~v282(constB166)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36078,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB166) | (~v282(constB166)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36079,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB166) | (~v282(constB166))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36078, 36077])).
% 80.65/52.52 tff(36080,plain,
% 80.65/52.52 (~v282(constB166)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36079, 12400, 35576])).
% 80.65/52.52 tff(36081,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB166)) | v282(constB166) | v281(constB166))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB166)) | v282(constB166) | v281(constB166))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36082,plain,
% 80.65/52.52 ((v282(constB166) | v281(constB166) | (~v278(constB166))) <=> ((~v278(constB166)) | v282(constB166) | v281(constB166))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36083,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB166) | v281(constB166) | (~v278(constB166)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | ((~v278(constB166)) | v282(constB166) | v281(constB166)))),
% 80.65/52.52 inference(monotonicity,[status(thm)],[36082])).
% 80.65/52.52 tff(36084,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB166) | v281(constB166) | (~v278(constB166)))) <=> ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB166)) | v282(constB166) | v281(constB166))),
% 80.65/52.52 inference(transitivity,[status(thm)],[36083, 36081])).
% 80.65/52.52 tff(36085,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (v282(constB166) | v281(constB166) | (~v278(constB166)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36086,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v282(VarCurr) | v281(VarCurr) | (~v278(VarCurr)))) | (~v278(constB166)) | v282(constB166) | v281(constB166)),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36085, 36084])).
% 80.65/52.52 tff(36087,plain,
% 80.65/52.52 ((~v278(constB166)) | v281(constB166)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36086, 12359, 36080])).
% 80.65/52.52 tff(36088,plain,
% 80.65/52.52 (~v278(constB166)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36087, 36076])).
% 80.65/52.52 tff(36089,plain,
% 80.65/52.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB166, constB167)) | v278(constB166) | (~v280(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB166, constB167)) | v278(constB166) | (~v280(constB167)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36090,plain,
% 80.65/52.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB166, constB167)) | v278(constB166) | (~v280(constB167)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36091,plain,
% 80.65/52.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB166, constB167)) | v278(constB166) | (~v280(constB167))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36090, 36089])).
% 80.65/52.52 tff(36092,plain,
% 80.65/52.52 (v278(constB166) | (~v280(constB167))),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36091, 12377, 21645])).
% 80.65/52.52 tff(36093,plain,
% 80.65/52.52 (~v280(constB167)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36092, 36088])).
% 80.65/52.52 tff(36094,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB167) | (~v309(constB167)))) <=> ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB167) | (~v309(constB167)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36095,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB167) | (~v309(constB167)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36096,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB167) | (~v309(constB167))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36095, 36094])).
% 80.65/52.52 tff(36097,plain,
% 80.65/52.52 (~v309(constB167)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36096, 12424, 36093])).
% 80.65/52.52 tff(36098,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB167) | v309(constB167) | (~v289(constB167)))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB167) | v309(constB167) | (~v289(constB167)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36099,plain,
% 80.65/52.52 ((v309(constB167) | (~v289(constB167)) | v288(constB167)) <=> (v288(constB167) | v309(constB167) | (~v289(constB167)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36100,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB167) | (~v289(constB167)) | v288(constB167))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v288(constB167) | v309(constB167) | (~v289(constB167))))),
% 80.65/52.52 inference(monotonicity,[status(thm)],[36099])).
% 80.65/52.52 tff(36101,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB167) | (~v289(constB167)) | v288(constB167))) <=> ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB167) | v309(constB167) | (~v289(constB167)))),
% 80.65/52.52 inference(transitivity,[status(thm)],[36100, 36098])).
% 80.65/52.52 tff(36102,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | (v309(constB167) | (~v289(constB167)) | v288(constB167))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36103,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v309(VarCurr) | (~v289(VarCurr)) | v288(VarCurr))) | v288(constB167) | v309(constB167) | (~v289(constB167))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36102, 36101])).
% 80.65/52.52 tff(36104,plain,
% 80.65/52.52 (v288(constB167) | (~v289(constB167))),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36103, 12438, 36097])).
% 80.65/52.52 tff(36105,plain,
% 80.65/52.52 (v288(constB167)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36104, 35967])).
% 80.65/52.52 tff(36106,plain,
% 80.65/52.52 ($false),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36105, 35474])).
% 80.65/52.52 tff(36107,plain,((~(constB167 = sK0_VarCurr)) | v288(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 80.65/52.52 tff(36108,plain,
% 80.65/52.52 (~(constB167 = sK0_VarCurr)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36107, 1])).
% 80.65/52.52 tff(36109,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 80.65/52.52 tff(36110,plain,
% 80.65/52.52 (v288(constB181) <=> v288(sK0_VarCurr)),
% 80.65/52.52 inference(monotonicity,[status(thm)],[36109])).
% 80.65/52.52 tff(36111,plain,
% 80.65/52.52 (v288(sK0_VarCurr) <=> v288(constB181)),
% 80.65/52.52 inference(symmetry,[status(thm)],[36110])).
% 80.65/52.52 tff(36112,plain,
% 80.65/52.52 ((~v288(sK0_VarCurr)) <=> (~v288(constB181))),
% 80.65/52.52 inference(monotonicity,[status(thm)],[36111])).
% 80.65/52.52 tff(36113,plain,
% 80.65/52.52 (~v288(constB181)),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[1, 36112])).
% 80.65/52.52 tff(36114,plain,
% 80.65/52.52 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36115,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36116,plain,
% 80.65/52.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36115, 36114])).
% 80.65/52.52 tff(36117,plain,
% 80.65/52.52 (v148(constB181)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36116, 10795, 27365])).
% 80.65/52.52 tff(36118,plain,
% 80.65/52.52 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB181) | (~v226(constB181)) | (~v148(constB181)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB181) | (~v226(constB181)) | (~v148(constB181)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36119,plain,
% 80.65/52.52 (((~v148(constB181)) | (~v226(constB181)) | v86(constB181)) <=> (v86(constB181) | (~v226(constB181)) | (~v148(constB181)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36120,plain,
% 80.65/52.52 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB181)) | (~v226(constB181)) | v86(constB181))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | (v86(constB181) | (~v226(constB181)) | (~v148(constB181))))),
% 80.65/52.52 inference(monotonicity,[status(thm)],[36119])).
% 80.65/52.52 tff(36121,plain,
% 80.65/52.52 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB181)) | (~v226(constB181)) | v86(constB181))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB181) | (~v226(constB181)) | (~v148(constB181)))),
% 80.65/52.52 inference(transitivity,[status(thm)],[36120, 36118])).
% 80.65/52.52 tff(36122,plain,
% 80.65/52.52 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | ((~v148(constB181)) | (~v226(constB181)) | v86(constB181))),
% 80.65/52.52 inference(quant_inst,[status(thm)],[])).
% 80.65/52.52 tff(36123,plain,
% 80.65/52.52 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v226(VarNext)) | v86(VarNext))) | v86(constB181) | (~v226(constB181)) | (~v148(constB181))),
% 80.65/52.52 inference(modus_ponens,[status(thm)],[36122, 36121])).
% 80.65/52.52 tff(36124,plain,
% 80.65/52.52 (v86(constB181)),
% 80.65/52.52 inference(unit_resolution,[status(thm)],[36123, 10831, 27373, 36117])).
% 80.65/52.52 tff(36125,plain,
% 80.65/52.52 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB181)) | (~v295(constB181)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB181)) | (~v295(constB181)))),
% 80.65/52.52 inference(rewrite,[status(thm)],[])).
% 80.65/52.52 tff(36126,plain,
% 80.65/52.52 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | ((~v86(constB181)) | (~v295(constB181)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36127,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v295(VarCurr)))) | (~v86(constB181)) | (~v295(constB181))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36126, 36125])).
% 80.65/52.53 tff(36128,plain,
% 80.65/52.53 (~v295(constB181)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36127, 10845, 36124])).
% 80.65/52.53 tff(36129,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB181) | (~v294(constB181)))) <=> ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB181) | (~v294(constB181)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36130,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB181) | (~v294(constB181)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36131,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB181) | (~v294(constB181))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36130, 36129])).
% 80.65/52.53 tff(36132,plain,
% 80.65/52.53 (~v294(constB181)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36131, 10856, 36128])).
% 80.65/52.53 tff(36133,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB181) | (~v307(constB181)))) <=> ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB181) | (~v307(constB181)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36134,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB181) | (~v307(constB181)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36135,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB181) | (~v307(constB181))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36134, 36133])).
% 80.65/52.53 tff(36136,plain,
% 80.65/52.53 (~v307(constB181)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36135, 10867, 36132])).
% 80.65/52.53 tff(36137,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB181) | (~v297(constB181)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB181) | (~v297(constB181)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36138,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB181) | (~v297(constB181)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36139,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB181) | (~v297(constB181))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36138, 36137])).
% 80.65/52.53 tff(36140,plain,
% 80.65/52.53 (~v297(constB181)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36139, 11288, 27820])).
% 80.65/52.53 tff(36141,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36142,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36143,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2)),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36142, 36141])).
% 80.65/52.53 tff(36144,plain,
% 80.65/52.53 (v88(constB179, bitIndex2)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36143, 10735, 23318])).
% 80.65/52.53 tff(36145,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v140(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v140(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36146,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v140(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36147,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v140(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36146, 36145])).
% 80.65/52.53 tff(36148,plain,
% 80.65/52.53 (~v140(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36147, 10893, 36144])).
% 80.65/52.53 tff(36149,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36150,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36151,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0)),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36150, 36149])).
% 80.65/52.53 tff(36152,plain,
% 80.65/52.53 (v88(constB179, bitIndex0)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36151, 11313, 23394])).
% 80.65/52.53 tff(36153,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v139(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v139(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36154,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v139(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36155,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v139(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36154, 36153])).
% 80.65/52.53 tff(36156,plain,
% 80.65/52.53 (~v139(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36155, 11324, 36152])).
% 80.65/52.53 tff(36157,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v168(constB179)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB179) | v139(constB179) | (~v168(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36158,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v168(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36159,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB179) | v139(constB179) | (~v168(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36158, 36157])).
% 80.65/52.53 tff(36160,plain,
% 80.65/52.53 (v140(constB179) | (~v168(constB179))),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36159, 10907, 36156])).
% 80.65/52.53 tff(36161,plain,
% 80.65/52.53 (~v168(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36160, 36148])).
% 80.65/52.53 tff(36162,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36163,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36164,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36163, 36162])).
% 80.65/52.53 tff(36165,plain,
% 80.65/52.53 (~v88(constB179, bitIndex1)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36164, 10918, 23385])).
% 80.65/52.53 tff(36166,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36167,plain,
% 80.65/52.53 (((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179)) <=> ((~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36168,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1)))),
% 80.65/52.53 inference(monotonicity,[status(thm)],[36167])).
% 80.65/52.53 tff(36169,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))),
% 80.65/52.53 inference(transitivity,[status(thm)],[36168, 36166])).
% 80.65/52.53 tff(36170,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36171,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1)),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36170, 36169])).
% 80.65/52.53 tff(36172,plain,
% 80.65/52.53 (v147(constB179) | (~v88(constB179, bitIndex2))),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36171, 11353, 36152, 36165])).
% 80.65/52.53 tff(36173,plain,
% 80.65/52.53 (v147(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36172, 36144])).
% 80.65/52.53 tff(36174,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB179) | (~v147(constB179)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB179) | (~v147(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36175,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB179) | (~v147(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36176,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB179) | (~v147(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36175, 36174])).
% 80.65/52.53 tff(36177,plain,
% 80.65/52.53 (v145(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36176, 11368, 36173])).
% 80.65/52.53 tff(36178,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB179) | (~v145(constB179)))) <=> ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB179) | (~v145(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36179,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | (v226(constB179) | (~v145(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36180,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v226(VarCurr) | (~v145(VarCurr)))) | v226(constB179) | (~v145(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36179, 36178])).
% 80.65/52.53 tff(36181,plain,
% 80.65/52.53 (v226(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36180, 10961, 36177])).
% 80.65/52.53 tff(36182,plain,
% 80.65/52.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB179)) | (~v226(constB179)) | v168(constB179))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB179)) | (~v226(constB179)) | v168(constB179))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36183,plain,
% 80.65/52.53 ((v168(constB179) | (~v226(constB179)) | (~v161(constB179))) <=> ((~v161(constB179)) | (~v226(constB179)) | v168(constB179))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36184,plain,
% 80.65/52.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB179) | (~v226(constB179)) | (~v161(constB179)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | ((~v161(constB179)) | (~v226(constB179)) | v168(constB179)))),
% 80.65/52.53 inference(monotonicity,[status(thm)],[36183])).
% 80.65/52.53 tff(36185,plain,
% 80.65/52.53 (((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB179) | (~v226(constB179)) | (~v161(constB179)))) <=> ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB179)) | (~v226(constB179)) | v168(constB179))),
% 80.65/52.53 inference(transitivity,[status(thm)],[36184, 36182])).
% 80.65/52.53 tff(36186,plain,
% 80.65/52.53 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (v168(constB179) | (~v226(constB179)) | (~v161(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36187,plain,
% 80.65/52.53 ((~![VarNext: $i] : (v168(VarNext) | (~v226(VarNext)) | (~v161(VarNext)))) | (~v161(constB179)) | (~v226(constB179)) | v168(constB179)),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36186, 36185])).
% 80.65/52.53 tff(36188,plain,
% 80.65/52.53 (~v161(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36187, 10975, 36181, 36161])).
% 80.65/52.53 tff(36189,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB179) | (~v187(constB179)))) <=> ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB179) | (~v187(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36190,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB179) | (~v187(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36191,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB179) | (~v187(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36190, 36189])).
% 80.65/52.53 tff(36192,plain,
% 80.65/52.53 (~v187(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36191, 10989, 36188])).
% 80.65/52.53 tff(36193,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB179) | (~v185(constB179)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB179) | (~v185(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36194,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB179) | (~v185(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36195,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB179) | (~v185(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36194, 36193])).
% 80.65/52.53 tff(36196,plain,
% 80.65/52.53 (~v185(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36195, 11000, 36192])).
% 80.65/52.53 tff(36197,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB179)) | (~v183(constB179)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB179)) | (~v183(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36198,plain,
% 80.65/52.53 (((~v183(constB179)) | (~v181(constB179))) <=> ((~v181(constB179)) | (~v183(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36199,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB179)) | (~v181(constB179)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB179)) | (~v183(constB179))))),
% 80.65/52.53 inference(monotonicity,[status(thm)],[36198])).
% 80.65/52.53 tff(36200,plain,
% 80.65/52.53 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB179)) | (~v181(constB179)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB179)) | (~v183(constB179)))),
% 80.65/52.53 inference(transitivity,[status(thm)],[36199, 36197])).
% 80.65/52.53 tff(36201,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB179)) | (~v181(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36202,plain,
% 80.65/52.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB179)) | (~v183(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36201, 36200])).
% 80.65/52.53 tff(36203,plain,
% 80.65/52.53 (~v181(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36202, 11059, 27776])).
% 80.65/52.53 tff(36204,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB179) | v185(constB179) | (~v178(constB179)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB179) | v185(constB179) | (~v178(constB179)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36205,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB179) | v185(constB179) | (~v178(constB179)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36206,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB179) | v185(constB179) | (~v178(constB179))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36205, 36204])).
% 80.65/52.53 tff(36207,plain,
% 80.65/52.53 (v185(constB179) | (~v178(constB179))),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36206, 11073, 36203])).
% 80.65/52.53 tff(36208,plain,
% 80.65/52.53 (~v178(constB179)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36207, 36196])).
% 80.65/52.53 tff(36209,plain,
% 80.65/52.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36210,plain,
% 80.65/52.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36211,plain,
% 80.65/52.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 80.65/52.53 tff(36212,plain,
% 80.65/52.53 (v178(constB179) | (~v180(constB180))),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36211, 11088, 23426])).
% 80.65/52.53 tff(36213,plain,
% 80.65/52.53 (~v180(constB180)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36212, 36208])).
% 80.65/52.53 tff(36214,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB180) | (~v181(constB180)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB180) | (~v181(constB180)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36215,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB180) | (~v181(constB180)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36216,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB180) | (~v181(constB180))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36215, 36214])).
% 80.65/52.53 tff(36217,plain,
% 80.65/52.53 (~v181(constB180)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36216, 11100, 36213])).
% 80.65/52.53 tff(36218,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB180) | (~v187(constB180)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB180) | (~v187(constB180)))),
% 80.65/52.53 inference(rewrite,[status(thm)],[])).
% 80.65/52.53 tff(36219,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB180) | (~v187(constB180)))),
% 80.65/52.53 inference(quant_inst,[status(thm)],[])).
% 80.65/52.53 tff(36220,plain,
% 80.65/52.53 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB180) | (~v187(constB180))),
% 80.65/52.53 inference(modus_ponens,[status(thm)],[36219, 36218])).
% 80.65/52.53 tff(36221,plain,
% 80.65/52.53 (~v187(constB180)),
% 80.65/52.53 inference(unit_resolution,[status(thm)],[36220, 11122, 27798])).
% 80.65/52.53 tff(36222,plain,
% 80.65/52.53 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB180) | (~v185(constB180)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB180) | (~v185(constB180)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36223,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB180) | (~v185(constB180)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36224,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB180) | (~v185(constB180))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36223, 36222])).
% 80.65/52.54 tff(36225,plain,
% 80.65/52.54 (~v185(constB180)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36224, 11000, 36221])).
% 80.65/52.54 tff(36226,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB180) | v185(constB180) | (~v178(constB180)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB180) | v185(constB180) | (~v178(constB180)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36227,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB180) | v185(constB180) | (~v178(constB180)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36228,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB180) | v185(constB180) | (~v178(constB180))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36227, 36226])).
% 80.65/52.54 tff(36229,plain,
% 80.65/52.54 (v181(constB180) | (~v178(constB180))),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36228, 11073, 36225])).
% 80.65/52.54 tff(36230,plain,
% 80.65/52.54 (~v178(constB180)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36229, 36217])).
% 80.65/52.54 tff(36231,plain,
% 80.65/52.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36232,plain,
% 80.65/52.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36233,plain,
% 80.65/52.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36232, 36231])).
% 80.65/52.54 tff(36234,plain,
% 80.65/52.54 (v178(constB180) | (~v180(constB181))),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36233, 11088, 23488])).
% 80.65/52.54 tff(36235,plain,
% 80.65/52.54 (~v180(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36234, 36230])).
% 80.65/52.54 tff(36236,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB181) | (~v293(constB181)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB181) | (~v293(constB181)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36237,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB181) | (~v293(constB181)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36238,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB181) | (~v293(constB181))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36237, 36236])).
% 80.65/52.54 tff(36239,plain,
% 80.65/52.54 (~v293(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36238, 11437, 36235])).
% 80.65/52.54 tff(36240,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB181) | v297(constB181) | (~v292(constB181)))) <=> ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB181) | v297(constB181) | (~v292(constB181)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36241,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB181) | v297(constB181) | (~v292(constB181)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36242,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB181) | v297(constB181) | (~v292(constB181))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36241, 36240])).
% 80.65/52.54 tff(36243,plain,
% 80.65/52.54 (v297(constB181) | (~v292(constB181))),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36242, 11451, 36239])).
% 80.65/52.54 tff(36244,plain,
% 80.65/52.54 (~v292(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36243, 36140])).
% 80.65/52.54 tff(36245,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB181) | (~v302(constB181)))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB181) | (~v302(constB181)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36246,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB181) | (~v302(constB181)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36247,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB181) | (~v302(constB181))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36246, 36245])).
% 80.65/52.54 tff(36248,plain,
% 80.65/52.54 (~v302(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36247, 11789, 28191])).
% 80.65/52.54 tff(36249,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB181) | v290(constB181) | v302(constB181))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB181) | v290(constB181) | v302(constB181))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36250,plain,
% 80.65/52.54 ((v292(constB181) | v302(constB181) | v290(constB181)) <=> (v292(constB181) | v290(constB181) | v302(constB181))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36251,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB181) | v302(constB181) | v290(constB181))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB181) | v290(constB181) | v302(constB181)))),
% 80.65/52.54 inference(monotonicity,[status(thm)],[36250])).
% 80.65/52.54 tff(36252,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB181) | v302(constB181) | v290(constB181))) <=> ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB181) | v290(constB181) | v302(constB181))),
% 80.65/52.54 inference(transitivity,[status(thm)],[36251, 36249])).
% 80.65/52.54 tff(36253,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB181) | v302(constB181) | v290(constB181))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36254,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB181) | v290(constB181) | v302(constB181)),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36253, 36252])).
% 80.65/52.54 tff(36255,plain,
% 80.65/52.54 (v292(constB181) | v290(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36254, 11803, 36248])).
% 80.65/52.54 tff(36256,plain,
% 80.65/52.54 (v290(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36255, 36244])).
% 80.65/52.54 tff(36257,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB181) | v307(constB181) | (~v290(constB181)))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB181) | v307(constB181) | (~v290(constB181)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36258,plain,
% 80.65/52.54 ((v307(constB181) | (~v290(constB181)) | v289(constB181)) <=> (v289(constB181) | v307(constB181) | (~v290(constB181)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36259,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB181) | (~v290(constB181)) | v289(constB181))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v289(constB181) | v307(constB181) | (~v290(constB181))))),
% 80.65/52.54 inference(monotonicity,[status(thm)],[36258])).
% 80.65/52.54 tff(36260,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB181) | (~v290(constB181)) | v289(constB181))) <=> ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB181) | v307(constB181) | (~v290(constB181)))),
% 80.65/52.54 inference(transitivity,[status(thm)],[36259, 36257])).
% 80.65/52.54 tff(36261,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | (v307(constB181) | (~v290(constB181)) | v289(constB181))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36262,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v307(VarCurr) | (~v290(VarCurr)) | v289(VarCurr))) | v289(constB181) | v307(constB181) | (~v290(constB181))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36261, 36260])).
% 80.65/52.54 tff(36263,plain,
% 80.65/52.54 (v289(constB181) | v307(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36262, 11821, 36256])).
% 80.65/52.54 tff(36264,plain,
% 80.65/52.54 (v289(constB181)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36263, 36136])).
% 80.65/52.54 tff(36265,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB171) | (~v215(constB171)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB171) | (~v215(constB171)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36266,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB171) | (~v215(constB171)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36267,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB171) | (~v215(constB171))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36266, 36265])).
% 80.65/52.54 tff(36268,plain,
% 80.65/52.54 (~v215(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36267, 11147, 29368])).
% 80.65/52.54 tff(36269,assumption,(v18(constB172)), introduced(assumption)).
% 80.65/52.54 tff(36270,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB172))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36271,plain,
% 80.65/52.54 ($false),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36270, 70, 36269])).
% 80.65/52.54 tff(36272,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 80.65/52.54 tff(36273,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36274,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36275,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36274, 36273])).
% 80.65/52.54 tff(36276,plain,
% 80.65/52.54 (v22(constB172)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36275, 83, 22542])).
% 80.65/52.54 tff(36277,plain,
% 80.65/52.54 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB172)) | (~v22(constB172)) | v18(constB172))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB172)) | (~v22(constB172)) | v18(constB172))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36278,plain,
% 80.65/52.54 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB172)) | (~v22(constB172)) | v18(constB172))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36279,plain,
% 80.65/52.54 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB172)) | (~v22(constB172)) | v18(constB172)),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36278, 36277])).
% 80.65/52.54 tff(36280,plain,
% 80.65/52.54 ((~v19(constB172)) | v18(constB172)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36279, 97, 36276])).
% 80.65/52.54 tff(36281,plain,
% 80.65/52.54 (~v19(constB172)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36280, 36272])).
% 80.65/52.54 tff(36282,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36283,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36284,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36283, 36282])).
% 80.65/52.54 tff(36285,plain,
% 80.65/52.54 (v13(constB172)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36284, 112, 36281])).
% 80.65/52.54 tff(36286,plain,
% 80.65/52.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36287,plain,
% 80.65/52.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36288,plain,
% 80.65/52.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171)),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36287, 36286])).
% 80.65/52.54 tff(36289,plain,
% 80.65/52.54 ((~v13(constB172)) | v9(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36288, 129, 22132])).
% 80.65/52.54 tff(36290,plain,
% 80.65/52.54 (v9(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36289, 36285])).
% 80.65/52.54 tff(36291,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v184(constB171))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB171) | (~v9(constB171)) | v184(constB171))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36292,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v184(constB171))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36293,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB171) | (~v9(constB171)) | v184(constB171)),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36292, 36291])).
% 80.65/52.54 tff(36294,plain,
% 80.65/52.54 ((~v9(constB171)) | v184(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36293, 11036, 22013])).
% 80.65/52.54 tff(36295,plain,
% 80.65/52.54 (v184(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36294, 36290])).
% 80.65/52.54 tff(36296,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB171) | (~v184(constB171)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB171) | (~v184(constB171)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36297,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB171) | (~v184(constB171)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36298,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB171) | (~v184(constB171))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36297, 36296])).
% 80.65/52.54 tff(36299,plain,
% 80.65/52.54 (v183(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36298, 11048, 36295])).
% 80.65/52.54 tff(36300,plain,
% 80.65/52.54 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB171)) | (~v214(constB171)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB171)) | (~v214(constB171)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36301,plain,
% 80.65/52.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB171)) | (~v214(constB171)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36302,plain,
% 80.65/52.54 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB171)) | (~v214(constB171))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36301, 36300])).
% 80.65/52.54 tff(36303,plain,
% 80.65/52.54 (~v214(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36302, 11189, 36299])).
% 80.65/52.54 tff(36304,plain,
% 80.65/52.54 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB171) | v215(constB171) | (~v211(constB171)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB171) | v215(constB171) | (~v211(constB171)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36305,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB171) | v215(constB171) | (~v211(constB171)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36306,plain,
% 80.65/52.54 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB171) | v215(constB171) | (~v211(constB171))),
% 80.65/52.54 inference(modus_ponens,[status(thm)],[36305, 36304])).
% 80.65/52.54 tff(36307,plain,
% 80.65/52.54 (v215(constB171) | (~v211(constB171))),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36306, 11203, 36303])).
% 80.65/52.54 tff(36308,plain,
% 80.65/52.54 (~v211(constB171)),
% 80.65/52.54 inference(unit_resolution,[status(thm)],[36307, 36268])).
% 80.65/52.54 tff(36309,plain,
% 80.65/52.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB171, constB172)) | v211(constB171) | (~v213(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB171, constB172)) | v211(constB171) | (~v213(constB172)))),
% 80.65/52.54 inference(rewrite,[status(thm)],[])).
% 80.65/52.54 tff(36310,plain,
% 80.65/52.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB171, constB172)) | v211(constB171) | (~v213(constB172)))),
% 80.65/52.54 inference(quant_inst,[status(thm)],[])).
% 80.65/52.54 tff(36311,plain,
% 80.65/52.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB171, constB172)) | v211(constB171) | (~v213(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36310, 36309])).
% 80.65/52.55 tff(36312,plain,
% 80.65/52.55 (v211(constB171) | (~v213(constB172))),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36311, 11218, 22132])).
% 80.65/52.55 tff(36313,plain,
% 80.65/52.55 (~v213(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36312, 36308])).
% 80.65/52.55 tff(36314,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB172) | (~v214(constB172)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB172) | (~v214(constB172)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36315,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB172) | (~v214(constB172)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36316,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB172) | (~v214(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36315, 36314])).
% 80.65/52.55 tff(36317,plain,
% 80.65/52.55 (~v214(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36316, 11230, 36313])).
% 80.65/52.55 tff(36318,plain,
% 80.65/52.55 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB172)) | (~v184(constB172)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB172)) | (~v184(constB172)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36319,plain,
% 80.65/52.55 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB172)) | (~v184(constB172)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36320,plain,
% 80.65/52.55 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB172)) | (~v184(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36319, 36318])).
% 80.65/52.55 tff(36321,plain,
% 80.65/52.55 (~v184(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36320, 11111, 22542])).
% 80.65/52.55 tff(36322,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB172) | (~v217(constB172)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB172) | (~v217(constB172)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36323,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB172) | (~v217(constB172)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36324,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB172) | (~v217(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36323, 36322])).
% 80.65/52.55 tff(36325,plain,
% 80.65/52.55 (~v217(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36324, 11245, 36321])).
% 80.65/52.55 tff(36326,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB172) | (~v216(constB172)))) <=> ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB172) | (~v216(constB172)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36327,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB172) | (~v216(constB172)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36328,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB172) | (~v216(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36327, 36326])).
% 80.65/52.55 tff(36329,plain,
% 80.65/52.55 (~v216(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36328, 11256, 36325])).
% 80.65/52.55 tff(36330,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB172) | (~v215(constB172)))) <=> ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB172) | (~v215(constB172)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36331,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB172) | (~v215(constB172)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36332,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB172) | (~v215(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36331, 36330])).
% 80.65/52.55 tff(36333,plain,
% 80.65/52.55 (~v215(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36332, 11267, 36329])).
% 80.65/52.55 tff(36334,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB172) | v215(constB172) | (~v211(constB172)))) <=> ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB172) | v215(constB172) | (~v211(constB172)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36335,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB172) | v215(constB172) | (~v211(constB172)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36336,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB172) | v215(constB172) | (~v211(constB172))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36335, 36334])).
% 80.65/52.55 tff(36337,plain,
% 80.65/52.55 (v214(constB172) | (~v211(constB172))),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36336, 11203, 36333])).
% 80.65/52.55 tff(36338,plain,
% 80.65/52.55 (~v211(constB172)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36337, 36317])).
% 80.65/52.55 tff(36339,plain,
% 80.65/52.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB172, constB173)) | v211(constB172) | (~v213(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB172, constB173)) | v211(constB172) | (~v213(constB173)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36340,plain,
% 80.65/52.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB172, constB173)) | v211(constB172) | (~v213(constB173)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36341,plain,
% 80.65/52.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB172, constB173)) | v211(constB172) | (~v213(constB173))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36340, 36339])).
% 80.65/52.55 tff(36342,plain,
% 80.65/52.55 (v211(constB172) | (~v213(constB173))),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36341, 11218, 22686])).
% 80.65/52.55 tff(36343,plain,
% 80.65/52.55 (~v213(constB173)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36342, 36338])).
% 80.65/52.55 tff(36344,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB173) | (~v245(constB173)))) <=> ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB173) | (~v245(constB173)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36345,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB173) | (~v245(constB173)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36346,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB173) | (~v245(constB173))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36345, 36344])).
% 80.65/52.55 tff(36347,plain,
% 80.65/52.55 (~v245(constB173)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36346, 11683, 36343])).
% 80.65/52.55 tff(36348,assumption,(v18(constB174)), introduced(assumption)).
% 80.65/52.55 tff(36349,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB174))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36350,plain,
% 80.65/52.55 ($false),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36349, 70, 36348])).
% 80.65/52.55 tff(36351,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 80.65/52.55 tff(36352,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36353,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36354,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36353, 36352])).
% 80.65/52.55 tff(36355,plain,
% 80.65/52.55 (v22(constB174)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36354, 83, 22835])).
% 80.65/52.55 tff(36356,plain,
% 80.65/52.55 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB174)) | (~v22(constB174)) | v18(constB174))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB174)) | (~v22(constB174)) | v18(constB174))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36357,plain,
% 80.65/52.55 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB174)) | (~v22(constB174)) | v18(constB174))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36358,plain,
% 80.65/52.55 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB174)) | (~v22(constB174)) | v18(constB174)),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36357, 36356])).
% 80.65/52.55 tff(36359,plain,
% 80.65/52.55 ((~v19(constB174)) | v18(constB174)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36358, 97, 36355])).
% 80.65/52.55 tff(36360,plain,
% 80.65/52.55 (~v19(constB174)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36359, 36351])).
% 80.65/52.55 tff(36361,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36362,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36363,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36362, 36361])).
% 80.65/52.55 tff(36364,plain,
% 80.65/52.55 (v13(constB174)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36363, 112, 36360])).
% 80.65/52.55 tff(36365,plain,
% 80.65/52.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36366,plain,
% 80.65/52.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36367,plain,
% 80.65/52.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173)),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36366, 36365])).
% 80.65/52.55 tff(36368,plain,
% 80.65/52.55 ((~v13(constB174)) | v9(constB173)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36367, 129, 22815])).
% 80.65/52.55 tff(36369,plain,
% 80.65/52.55 (v9(constB173)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36368, 36364])).
% 80.65/52.55 tff(36370,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v184(constB173))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB173) | (~v9(constB173)) | v184(constB173))),
% 80.65/52.55 inference(rewrite,[status(thm)],[])).
% 80.65/52.55 tff(36371,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v184(constB173))),
% 80.65/52.55 inference(quant_inst,[status(thm)],[])).
% 80.65/52.55 tff(36372,plain,
% 80.65/52.55 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB173) | (~v9(constB173)) | v184(constB173)),
% 80.65/52.55 inference(modus_ponens,[status(thm)],[36371, 36370])).
% 80.65/52.55 tff(36373,plain,
% 80.65/52.55 ((~v9(constB173)) | v184(constB173)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36372, 11036, 22683])).
% 80.65/52.55 tff(36374,plain,
% 80.65/52.55 (v184(constB173)),
% 80.65/52.55 inference(unit_resolution,[status(thm)],[36373, 36369])).
% 80.65/52.55 tff(36375,plain,
% 80.65/52.55 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB173) | (~v184(constB173)))) <